{"text":"Question: How many minutes are there between 9:21 PM and 8:08 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*a - 3*x + 45, -751*a - x - 40 = -748*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((1*sqrt(180))\/sqrt(6) + ((sqrt(270) - sqrt(30))*-6 - sqrt(30)))*3)\/(-1*3*-3*sqrt(50)\/sqrt(5)))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose g**2\/5 - 116*g\/5 - 732\/5 = 0. What is g?\nAnswer: -6, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -296158*s**3 + 25 + 296132*s**3 - 25.\nAnswer: -26*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -62 - -73. Calculate the remainder when -42*(-1 - 0) + 0 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(2\/23)\/o**(-10))\/(o\/(o**(1\/14)\/o)*(o*(o*o\/(o\/(o\/(o\/o**(3\/22)))*o*o))\/o)\/o))**(-1) assuming o is positive.\nAnswer: o**(-17749\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 43089928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -2, 5, -11 in increasing order.\nAnswer: -11, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b. Let m(s) = 525*s + 2. Determine i(m(d)).\nAnswer: 525*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 30407255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 138 = 3*y - 4*l, -2*y - 14*l + 9*l = -69. Solve 3*v + 11*v = -y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 180 - 170. Let b be (-8)\/20 - (-24)\/10. What is the smallest value in b, -2\/11, s, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7505 + 7505 + k - 4*k + 2*k**2 - 6*k**3 as x + h*k**3 + r*k**2 + t*k and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -15 or -15415\/1113?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*2 - (-35)\/((-21)\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2375764?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 9*h + 1. Suppose -5*j + 27 = -g, 4*g + 5*j + 56 = 73. Determine m(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from bnnnbbdn?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 2*y**2. Suppose 3*j + 22 = 4*o, -4*o + 4*j = -0*j - 24. Let x = o + -5. What is the units digit of p(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18344541*v**3 - 36689037*v**3 + 18344505*v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*q**2 + 7089 + 10*q + 9*q - 7*q + 7114 - 14203.\nAnswer: 3*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3066*d + 686*d + 111177 = 989*d for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = -x - 73, -2*x = -3*m - 7*x - 53. Let z be (-238)\/(-16) + (-13)\/m. Which is greater: z or 14?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 5.998 * 3\nAnswer: 17.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(297) + -2*sqrt(297)*6)\/(-2*sqrt(22)\/sqrt(2)))\/(1*((sqrt(36)*2)\/sqrt(4) - -2*sqrt(144))))**2.\nAnswer: 363\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y**2 + 9*y - 6. Let c be g(9). Let n(i) = i**3 + 10*i**2 + 9*i + 6. Let j be n(c). Let h = 177 - j. Does 27 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -3*d + 17. Let n be b(-5). Let c = -28 + n. Solve 5*v - c*w + 14 = 39, -5*v = 3*w + 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.3 + 1.3. Let f = 484 + -3389\/7. Put s, -3\/7, f in descending order.\nAnswer: s, f, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -3*o**2 + 2. Let v(l) = 5*l**2 - 110. Let i(y) = -g(y) - v(y). Let j(n) = -3*n. What is j(i(k))?\nAnswer: 6*k**2 - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1013163 or 19250103\/19?\nAnswer: 19250103\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 29 (base 15) to base 2\nAnswer: 100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = 12*z + 288. Let h = z + 19. Which is greater: h or -15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 182*f**3 - 328*f**2?\nAnswer: 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2286 rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 7*h. Suppose -5*o = -2*d - 30, -15 = 3*d - 0. Let l(r) = 77*r**2 - 78*r**2 - o*r + 4*r. What is l(z(x))?\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 23.5 - 24. Let x = 0.7 + c. What is the third smallest value in x, 4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6111, 6105, 6099?\nAnswer: 6093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - -1 - (16 - 20) - (-13 + 15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 8550 divided by 475?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the first derivative of 6*p**2 + 1. Let n(c) = c + 8. Let l be n(-7). Let w be q(l). What is the greatest common factor of w and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - i**2)*(4 - 4 - 2*i) + 18*i**3 - 15 + 15.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y = 15, -k + 63*y - 38*y = 33*y - 51 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -35825*g**2 - 33002 wrt g?\nAnswer: -71650*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 81608, 82882, 84998, 87950, 91732, 96338, 101762, 107998?\nAnswer: 115040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m**(-2))**(-50))**49)**(-20) assuming m is positive.\nAnswer: m**(-98000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the first derivative of -15*g**4\/2 + 18*g + 7. What is the derivative of u(a) wrt a?\nAnswer: -90*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -2, -12, 5, 65 in descending order.\nAnswer: 65, 5, -2, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 16*a - 70 - a**2 + 30*a - 41*a + 139. Give u(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:12 AM and 12:01 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 454550 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*n**3 + n - 33*n**5 - 103*n**3 + 34*n**5 + (2*n**3 + n**3 - 4*n**3)*(52*n**2 - 103*n**2 + 31*n**2).\nAnswer: 21*n**5 - 103*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 2, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = 2*x - 86. Suppose -9*c + 41 = x. Let l(q) = q**2. Let w(y) = -5*y**2 - 2*y - 1. Give c*w(a) + 6*l(a).\nAnswer: a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1128401624 divided by -14056.\nAnswer: 80279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(99)*-1 + sqrt(99) + (sqrt(99) - 1*sqrt(99)*1) + sqrt(99))*-1)\/((sqrt(441)*-2 - sqrt(441)) + sqrt(441) - (sqrt(900)*4 - sqrt(900))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r + 0*r + 6 + r**2 - r**3 + 0*r**3. Let c be m(0). Suppose -v + c = 2*v. Calculate the least common multiple of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 89 divide 979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9918?\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 35 = -n, n = 6*n - 3*k + 87. Let f = n - -36. Calculate the remainder when f is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14587139.\nAnswer: 7, 17, 37, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 9 = -2*h - 15, 5 = 3*q + h. Suppose 2*a - 4*x = x + 18, x - q = -a. Suppose 0 = 4*m + 3*u, a*u = -u + 20. Is m >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 349627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 2*v**2 + 2*v + 1. Let p = -15 - -10. Let q be l(p). Let z = q - 286\/7. Are 0 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 77\/6 and 19\/1414.\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m**3 + 6*m**2 + m - 7. What is k(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Do -2 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 60 and 16?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 4, -3, 1, 3, 1968 in descending order.\nAnswer: 1968, 4, 3, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 2069\/596137?\nAnswer: 2069\/596137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*b - 0. Let k = b + 2. Suppose 10*r = 3*r + 140. Solve d = -k*d - r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 40\/314423631 and 29\/33?\nAnswer: 3458659941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -381*s**3 - 458*s**3 - 12*s + 361*s**3 - 8 wrt s.\nAnswer: -2868*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*d = -306175 - 211495. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 284242358 to the power of 1\/2, to the nearest integer?\nAnswer: 16859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(2\/5))**20\/(((j*j\/(j*j**(-5)))\/j)\/j*j**(-2\/5)) assuming j is positive.\nAnswer: j**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the first derivative of -1\/6*n**4 + 0*n + 8 - 1\/2*n**2 + 0*n**3 - 1\/30*n**5. Let j(q) be the second derivative of a(q). Determine j(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6*n**2*r**2*u - n**2*r**2 + 3*n**2*u + 5*n*r**2 - r*u + 2*u wrt n.\nAnswer: -12*r**2*u - 2*r**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/11*4\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -37 (base 14) to base 15\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 3*r**3 + r**2 - 5*r + 7. Let h = -2 - -7. Suppose -5*j - 3*f = 40, -h*j + 5 = -3*j - 3*f. Let u(t) = t**3 - t + 1. Calculate j*u(o) + p(o).\nAnswer: -2*o**3 + o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, -0.0173, 2\/7 in descending order.\nAnswer: 0.4, 2\/7, -0.0173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1, 11, -329.\nAnswer: -329, -2, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 283634, 1134637, 2552992, 4538711, 7091806, 10212289, 13900172?\nAnswer: 18155467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*z = 5*z + 4*m + 4, 5*z + 17 = m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -3642 (base 10) in base 11?\nAnswer: -2811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*j**3\/7 - 73590572*j**2\/7 + 588724384*j\/7 - 1177448640\/7.\nAnswer: 4*(j - 18397635)*(j - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 274, 767, 1470, 2383, 3506, 4839?\n\"Answer: 105*t**2 + 178*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be 20865\/102720 - (1 + 3\/(-2)). Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.2648 + 1.7648. Let k be 2\/(4\/2) + 0. Which is the closest to -1\/2? (a) k (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-20)\/15)\/(20\/(-45))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5\/12 - -59\/84. Suppose -4*a = -5*a - 1. Let c = 4.33 - 0.33. Put a, u, c in ascending order.\nAnswer: a, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.08 and 0.099?\nAnswer: 0.10692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 + 5 + w)*(0 + 2*w + 0) - w**2 + 2 - 2 + (2 + 7 - 1)*(0*w**2 + w**2 - 3*w**2) to x + d*w**2 + g*w and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/10)\/(12\/(-150))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2634, -5281, -7928, -10575, -13222, -15869?\nAnswer: -18516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 998\/31 or 1\/4?\nAnswer: 998\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 3487697141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h*h**(2\/15)\/h*h)\/(h*h**(-2\/3))*h\/((h*h*h\/(h*h*h*h**(-1\/6)))\/h)*h\/(h**(-2)\/h) assuming h is positive.\nAnswer: h**(229\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71 + 254 = 4*k + 5*u, -k + u = -48. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 4*i - 1138. Give u(288).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (34\/(-1224)*-126)\/(4\/(-24)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = 2*k - 18, k + v + v = -5. Suppose 0 = k*o - 4*t + 18, 4*t - 1 = -13. Sort 1, o, 0, -8.\nAnswer: o, -8, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 180576633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 755.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 6, i: 3, s: 2, d: 2, e: 1}. Give prob of sequence ile.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -137 + 137.22. Let h = w - 0.17. Let r = -10 + 9.7. What is the nearest to r in -5, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 338624, 338479, 338334?\n\"Answer: -145*r + 338769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4797 = -16*k + 3747. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*d**2*n*p**2 - 18*d**2*n - 2*d**2*p**2 - 2*d*n + 2*n*p + n + 15*p**4 wrt p?\nAnswer: -8*d**2*n - 4*d**2 + 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -50676110 rounded to the nearest 1000000?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.08152185 and 4?\nAnswer: 4.08152185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 3*d = d - 14, -3*k + 14 = 2*d. Suppose -3*n + 36 = 2*t, t - 19 = -n - k*t. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 + 0 = 4*l. Let u = 58 - 51. Suppose u*c + l - 93 = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0057 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 43907, 88900, 133915, 178952, 224011?\n\"Answer: 11*p**2 + 44960*p - 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/(z\/(z*z*z\/(z\/z**(-1)))))**(-2\/15))**3 assuming z is positive.\nAnswer: z**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be 849*(-7 + 4 - -4). Suppose 5*k - t = -239. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -993400, -1986805, -2980210?\n\"Answer: -993405*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be 37 + -4 + (3 - -1). Let c = j + -75\/2. What is the fourth smallest value in c, 21, 1\/2, 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(-2)*-1*(-396)\/(-198)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 185508*h**4 + 6*h + 9717 wrt h?\nAnswer: 2226096*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s + s**3 + 4*s**2 - s**3 - 2 - s**3. Let z be n(4). Let w = 3 + z. Calculate the remainder when 9 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -4 - 4*d**3 - 6*d**2 + 17*d + d**2 - 12*d + d**2. Let n(l) = -7*l**3 - 9*l**2 + 8*l - 8. Let s(v) = 5*b(v) - 3*n(v). Give s(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 17754*g**4*r**2 - 252*g**2*r**2 + 5*g*r**2 - 3*r**2 + r wrt g?\nAnswer: 426096*g*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -3*t + 5, -4*q - 4*t = 24. Let b be q*(-15 - 0\/3). Calculate the highest common factor of b and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 84*o - 79*o = 430. Let f = o - -374. List the prime factors of f.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -g**3\/3 - 28*g**2\/3 - 137*g\/3 - 110\/3 = 0. What is g?\nAnswer: -22, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1822, -1823, -1824, -1825, -1826?\nAnswer: -1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 14 and 9310?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (806 - 271 - 15198*b**2 - 267 - 268 - 14111*b**2)*(-3 + 3 - 2*b).\nAnswer: 58618*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:33 AM and 9:26 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2.837428 rounded to two decimal places?\nAnswer: 2.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 4, h: 1, y: 11, x: 3}. Give prob of picking 2 k and 1 h.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = -14*y + 270. Suppose l + 5*c = 0, l - 5*c = y + 2. Solve 2*f - l = 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2582*z**2 + 2519*z**2 - 5031*z**2 - 4 + 4.\nAnswer: 70*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3321\/4 - -40683\/49. Let g = s - 431\/2548. Let y = -1916.4 + 1916. Which is the third smallest value? (a) -1\/3 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6896.599 rounded to zero decimal places?\nAnswer: -6897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2012\/(-9054)*(-621)\/6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10775509?\nAnswer: 10775509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 126469 divided by 7.\nAnswer: 18067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: ((-22)\/33)\/((77\/105)\/(-11))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 1. Let c(l) = -62*l + 4. What is -c(m) + 4*t(m)?\nAnswer: 62*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 25387711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q**2 - 2 + 9 - 3 + 6. Let l be v(3). Which is the biggest value? (a) -5 (b) 0.5 (c) -4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 8856013 by 1.\nAnswer: 8856013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 0 + 2*k**2 + 4 - 3. Let h(y) = 2*y**2 + 2. Let i(u) = 2*h(u) - 3*v(u). What is the first derivative of i(f) wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 3*i = -2*v - 83, 4*v + 60 = 4*i. Let g = v - -17. Let c(s) = 0 - 4 - s + 7 - g. Calculate c(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 5*i = 0. Let m = 48 - 45. Suppose 0*p = p - m. Solve i = 4*j - p*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 22444680 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-6)\/9*(-16 - -1)\/(-1). Is (-712)\/(-104) - k\/65 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cxaecvsa. Give prob of sequence as.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -6ca (base 13) in base 6?\nAnswer: -5244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vxxxuvuxvuuxvlxv. Give prob of sequence uv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 141405 - 76842. Suppose 0 = -5*t + 30602 + y. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -328*o**2 - 18*o**2 + o + 4*o - 5*o.\nAnswer: -346*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 216 - 213.66. Round q to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*p**4 + 6*p**3 - 9*p**2.\nAnswer: 3*p**2*(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6086993*o**2 + 83*o**3 - 90*o**3 - 6086993*o**2.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-36)\/(-15))\/((-12)\/(-90))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*c**3 + 2 - 7 + 4 - 62*c**2 in the form g*c**3 + k*c + o*c**2 + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-80)\/(-3 - 76\/(-25)). Let f be n\/((-246)\/(-242) - 1). Round f to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u**3 + 20*u**2 + 2*u - 50. Let j be c(20). Let w be (-92)\/j*65\/26. Solve 0*v - 3*v + 4*k = w, 0 = 5*v - 3*k + 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:58 AM and 5:25 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 70756, 70753, 70750, 70747, 70744, 70741?\nAnswer: 70738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find o such that 14*o**4\/17 - 1936*o**3\/17 + 538*o**2\/17 + 1936*o\/17 - 552\/17 = 0.\nAnswer: -1, 2\/7, 1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j be 204\/561 - (-8 + 5388\/(-66)). Let s be 4 + 2\/(-2)*1. Solve -s*t + 78 = j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 33 - 20. What is the remainder when 50 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-45)\/(-20) + 2\/(-8). Suppose -p*l = -15 + 5. Suppose 2*r = -0*j - 3*j + 19, r = -4*j + 27. Calculate the remainder when j is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10100011 + -1000110?\nAnswer: 1011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -14150, -14149, -14148, -14147, -14146?\n\"Answer: a - 14151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.1509 + -384.8491. What is the biggest value in k, 1, 0.03?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 222 is divided by 107?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = -621 - -1616. Suppose -m + 6*x = 5*x - o, 2993 = 3*m + x. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 3542, 6634, 9288, 11522, 13354, 14802, 15884?\n\"Answer: 3*b**3 - 237*b**2 + 3782*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (14\/(-52)*250\/(-525))\/(-2*(-10)\/(-24))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/12)\/(2\/63).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 114 - 112. Let o be (0*1\/(5 - 4))\/v. Suppose o = -5*z - 3*m + 22, -19 + 5 = -5*z - m. Solve -z*y - y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from {p: 1, l: 1, w: 9, u: 4, x: 4}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((z*((z\/z**2)\/z)\/z)\/z)\/z)**(-30)*(z**(2\/3))**7)**(-2\/33) assuming z is positive.\nAnswer: z**(-68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 3, g: 4, p: 1, l: 2, k: 8, i: 2}. Give prob of picking 1 i and 3 k.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 133 - 9. Factor -10*t**4 + 52*t**4 + 5*t**5 + 374*t**2 - a*t**2 + 225*t**3 + 18*t**4.\nAnswer: 5*t**2*(t + 2)*(t + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1\/4)*x)**(-24)*x**(-4)*x*x*x**(-1)*x**(-3)*x*x\/(x*x**(-1\/7))*x\/x**(-2\/5)*x*x**(2\/9) assuming x is positive.\nAnswer: x**(-6374\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - j = -2*y - 439, 286 = 2*j - 3*y. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 - (-6 + 1 - (19 + -26))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 35016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 404894, 1618927, 3642316, 6475061, 10117162?\n\"Answer: 404678*s**2 - s + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -20 + 34. Suppose -2*l + k = 2*g, -3*l + 7 = 1. Suppose 0 = j - g*p + 4, -j - 3 = -4*p. Solve q + j + 2 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3116 + 3116 + 6*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -13*r**2 - 8*r - 3. Let t(f) = -26*f**2 - 17*f - 7. Let b(x) = -7*q(x) + 3*t(x). Let p be b(1). What is the highest common divisor of p and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 121623.1 and -2896029?\nAnswer: 3017652.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -5.1566+-0.0305154342\nAnswer: -5.1871154342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 57 - 35. Let w(g) = 12*g**3 + 2*g**2 + g. Let l be w(-1). Let c = l + s. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 29\/1 + 0 + -2. Let c be (90\/(-4))\/((-1)\/(4\/2)). Let k(x) = -x**2 + 50*x - 9. Let u be k(c). Calculate the greatest common divisor of f and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**2 - 7*j - 75. Give q(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-96)\/44 - 6\/(-33). Let w(r) = 41*r**3 - r**2 + 2*r - 1. Let t be w(1). Let x = n + t. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.1 or -2\/119597?\nAnswer: -2\/119597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 7856*s - 31456. What is r(4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 163\/(158110\/291)*15\/(-54)*10?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(((sqrt(300) - sqrt(300)*2)*-2 - -5*(-1*sqrt(300) - sqrt(300)))**2 + ((sqrt(300)*-1 + -4 - sqrt(300))*-6)**2)*6*-5.\nAnswer: 345600*sqrt(3) + 3778560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**2 - 1. Suppose -5*b - 3 - 7 = 0. Let v(q) = 3*q**2 + 2*q - 3. Calculate b*r(x) + v(x).\nAnswer: x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -60 - 642?\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -13181*o + 13176*o - 45 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 2 - 2)*(0 - 2 + 1)*(-13*g + 6*g - 15*g).\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7942*i + 91 + 85 - 307 + 131 to the form z + a*i and give a.\nAnswer: 7942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be 5 + -1 - -8*4\/(-8). Solve w = p + u + 8, 2*u - 6*u = p + 23 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 386 + 280*y + 374 + 595 - 41 - 2928*y wrt y?\nAnswer: -2648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 42, 108, 202, 324, 474?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (5*4*(sqrt(132) - sqrt(132)*2))\/((2*sqrt(1200) - sqrt(1200))*-2 + sqrt(1200)).\nAnswer: 1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 47 = -x, x + 19 = 17*t - 15*t. Solve 4*o + 1 = -5*h, 0*o + 5*h = -o + t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-54)\/15 - -4)\/(2877\/240 - 12)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2.01 - -2. Let h = 0.267 + -0.27764. Let g = q - h. What is g rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0027249 to 5 decimal places.\nAnswer: -0.00272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*g**2\/15 + 3574*g\/3 - 1048616\/5 = 0. Calculate g.\nAnswer: -9591\/4, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*3*(5 + sqrt(19)*1*5*-2).\nAnswer: -90*sqrt(19) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*z = -19*z + 2*s + 98, -4*z + 166 = 6*s. What is the second biggest value in -1, z, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -339*r = -346*r - 14. Let x(u) = u**3 - 6*u**2 - u. Let l be x(6). Let i = -11 - -7. Sort i, l, r in decreasing order.\nAnswer: r, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -126*((-20)\/(-12))\/(-5). Suppose 0 = -3*i - 3*b + s, b - 6 = 3*i - 56. Suppose -i = -4*x, 3*r - 79 = -5*x + 202. List the prime factors of r.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*y - 35 = 15*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the third derivative of -j**6\/480 + 83*j**5\/48 - 1339*j**4\/3 - 5408*j**3\/3 + 971*j**2. Let q(o) = 0. Calculate o.\nAnswer: -1, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6017 + 32767. Let r be -13 - (0 + (-2)\/(-2)). Let s be (t\/4)\/(r\/2240). Round s to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*p**2 - 8486 + 8486.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -10651 + 60458. What is the thousands digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2 + 2 - (-10)\/(10\/91). Solve 0 = -9*p + 50 - b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2 + 2)\/(2\/4). Let -j*b**2 + b**3 - 4*b**2 + 0*b**3 - 5*b**3 = 0. What is b?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:29 PM and 6:21 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = -56981\/20 + 2847. Let x = 502709\/18 - 27942. Let t = x - -13. What is the common denominator of j and t?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b = n - 13, -2*n = -5*n - b + 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-3*(-4)\/42)\/(50\/70)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1289, 2374, 3241, 3890, 4321, 4534, 4529?\n\"Answer: -109*h**2 + 1412*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**1)**(-39)*w**3*w**(-3\/7) assuming w is positive.\nAnswer: w**(-255\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -2*k + 107. List the prime factors of p(-13).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1 - 1100220011?\nAnswer: -1100220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o + 4*o - o)*(41 + 17 - 13).\nAnswer: 90*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.04 in 2, 0.21, -8?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 4 = -4*z + 56, -5*h + 70 = 5*z. Let v = -5 + 9. What is the highest common factor of v and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 22\/176 - (-30)\/16. Factor 1 - 4*z**m - 11*z**3 + 3\/2*z - 9*z**4 - 5\/2*z**5.\nAnswer: -(z + 1)**4*(5*z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 61312*a - 7480049. Determine r(122).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 84, 377, 884, 1623, 2612, 3869, 5412?\n\"Answer: 3*c**3 + 89*c**2 + 5*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3696189337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -4504643 (base 9) to base 15.\nAnswer: -32d550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*o + 36*o + 4 = -18*i - 3, 5*i - 4*i - 19*o - 96 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = v - c, -26 + 18 = -v + 3*c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -1393*o - 1. Let y be i(-2). Suppose z + 142*v = 138*v - 10, -24 = -2*z + 3*v. Suppose y = z*l - l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-9))\/(8\/(-24)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-2)\/(-3))\/((-2)\/(-15)). Suppose -2*i = 3*i + 3*k - 3, 5*k = -q*i - 5. What is the remainder when 7 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1 + 3 - 7\/((-28)\/20). Let n(l) = -l**2 + 6*l + 16. Let j be n(p). Let d = j + -6. Put d, 9, 2, 1 in decreasing order.\nAnswer: 9, d, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -49 - -247\/5. Is -1 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 101.9 - 102. Let w be 2\/(-4) + 3\/2. Let i = -1 - w. What is the second smallest value in i, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.2 + 0.2. Let g = -6.79 - -6.69. What is the nearest to 0.2 in -2\/9, s, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17 - (-3 - -17 - -1 - 5).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -44.15 + 44.45. Sort n, -3, -4\/93 in decreasing order.\nAnswer: n, -4\/93, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-3)\/4)\/(1\/(-4)). Let a = 5 + -10. Let q be 12\/15*a\/(-1). Solve -z*t + 1 = b, q*b = b + t + 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 9*i**2 - 6*i - 6. Let s be y(-6). Let g = 2023 + -2019. Suppose -5*m - 4*o + 346 = 0, 3*m - 8*m + s = -g*o. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -2*l**2 + 3*l - 6. Let i be r(5). Suppose -z - 197 + 183 = 0. Let j = z - i. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -18451, -18447, -18443?\n\"Answer: 4*b - 18455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 353138?\nAnswer: 2, 317, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 913 and 252901?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -162, -165, -166, -165, -162?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = s + 8. Let a be p(-6). Let i(q) be the first derivative of q**3\/3 - q**2 - q + 1. Let l(d) = 2*d**2 - 2*d - 1. What is a*l(w) - 3*i(w)?\nAnswer: w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -l**4*w - 1781*l**3*w**3 + 208*l**3 + 109*l**2*w**2 - 174*l*w**3 - l*w wrt l?\nAnswer: -24*l*w - 10686*w**3 + 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence blfl when four letters picked without replacement from {b: 3, h: 1, z: 3, p: 3, l: 2, f: 1}?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -36*o**2 + 2270*o - 52. Determine l(63).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -15059 + 15058.99895344. What is q rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5494089150.\nAnswer: 2, 3, 5, 11, 29, 38273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 140 is divided by 113?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4\/37 - -261\/2072. Let j(f) = f**3 - f**2 - 2*f - 1. Let x be j(-1). Is x bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 14050422 (base 7) to base 9\nAnswer: 2410876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 21865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**3\/9 + 26*g**2 + 1970*g\/9 + 1250\/3.\nAnswer: -2*(g - 125)*(g + 3)*(g + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be (25024\/24 + (-1 - 0))*-47712. Round u to the nearest 1000000.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (3\/((-18)\/177))\/(2\/(-4)). Suppose -t*b = -63*b + 8. Sort b, -8, 0, 5 in descending order.\nAnswer: 5, b, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5470728 and 9528.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n + p = -4 - 0, -14 = -2*n - 4*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 156354 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 5 - 1)*(3 + 6 - 4)*(1 - 8 + 4)*(-9*c**2 + 7*c**2 + 2*c**3 + 0*c**3).\nAnswer: 270*c**3 - 270*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 20 and 50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**3 + 4*t**2 - 5*t - 3. Suppose -2*q - 16 = 3*h, -h = -3*h - 4. Determine y(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 4, t: 6}. What is prob of sequence tvt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 14 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = -803\/13 + 535575\/8671. Suppose 71 - 73 = 2*d. Is d bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2571 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 42030680 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = -5*d + 24. Let a = -27\/4 + d. What is the closest to -0.1 in a, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w, 1 o, and 1 m when four letters picked without replacement from mwddodw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -472 = -2*h - 3*d - 134, 4*h - 5*d - 676 = 0. Solve 0 = -h*o + 165*o + 3*r - 15, -3*r + 15 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) be the second derivative of 5*c**9\/3024 + c**8\/168 + c**7\/168 + c**3\/3 - 7*c. Let q(k) be the second derivative of z(k). Factor q(n).\nAnswer: 5*n**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5280 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -15092 divided by -2156?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(((-154)\/14)\/(-121)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1094808232?\nAnswer: 2, 7, 29, 491, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 697 + 2063 = 15*i. What is the highest common divisor of 1242 and i?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -59498*-7083\nAnswer: 421424334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1628575 is divided by 561.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 111, 204, 299, 396, 495?\n\"Answer: t**2 + 90*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.070193 - 3.799928.\nAnswer: -3.729735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 32*x**2 + 3*x + 145. Let j(o) = 2*o. Determine j(z(s)).\nAnswer: 64*s**2 + 6*s + 290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 11736553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4786024?\nAnswer: 2, 19, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -92976, -4\/23, -9?\nAnswer: -92976","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -89*s - 33*s = 2074 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 minus -0.000759?\nAnswer: -0.299241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2392 + 2393. Suppose -2*m - 20 = 4*z + m, 0 = -m. Let d = z + 5. Solve f + k + d + u = 0, 5*f = -k - 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13 + 11 + 4 - 3*n - 4.\nAnswer: -3*n + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 103566655 is divided by 164.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6401 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 4*k - 4 = 0, 3*k + 9 = 3*j - 6. Let p be -1 + 0\/2 + j. Suppose -2*n + 9 = n. Solve -5*d - 4 = -0*a - a, -n*d + p*a - 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37 = 3*r + 4*v + 17, -2*r - 4*v = 36. Let t be (1 - 5) + (5 - r). Which is the third biggest value? (a) -0.5 (b) t (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in sixty-four fifths of a kilogram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35962 is divided by 51.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve f = -5*x + 14, 0*x - 2*f = -4*x + 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2127717?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 3919 greater than -0.099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 109761, 219518, 329275, 439032?\nAnswer: 548789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 94, 62, 6, -74, -178?\n\"Answer: -12*p**2 + 4*p + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 34 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the first derivative of 45*j**4\/4 - 117*j**3 + 532. What is the third derivative of q(o) wrt o?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -129928.784 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (42 - 46 - -16) + -38\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor p**4\/5 + 2*p**3 - 28*p**2\/5 - 8*p + 96\/5.\nAnswer: (p - 2)**2*(p + 2)*(p + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 86 a factor of 31562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 11531837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -391860.4 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2578*k - 8406 = 42958 + 11973 - 4043 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (sqrt(833) + sqrt(833)*-5)*1 + -5)**2.\nAnswer: 560*sqrt(17) + 13428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*j, 4*n + 145 = -n - 4*j. Let o = -24 - n. Let g be ((-2)\/(-7))\/((240\/28)\/o). Which is the smallest value? (a) -2 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28181749 is divided by 1198?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d and 2 m when four letters picked without replacement from mmzmmjdddmdmm?\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be (6 + -7)*9\/(9\/206). Let h = m + 56. Which is bigger: h or -149?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-3 + (4 + sqrt(242) + -1 - sqrt(242) - -5*-2*sqrt(242)))**2.\nAnswer: 24196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 4842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000302309 to five dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2529 minus 12096?\nAnswer: -9567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(1\/2)*b)\/b)**(-3\/5)*b**(-24)*b**(-2\/25)*b assuming b is positive.\nAnswer: b**(-1169\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -5913 divided by 9\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that 501*x**2 + 7324629*x + 131580 = 0.\nAnswer: -14620, -3\/167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3 - 4 - 25*m**3 - 1 + 6*m**3 wrt m?\nAnswer: -57*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 91\/24 and 101\/518352.\nAnswer: 518352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ykcyyykyyhc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 11*u**2 - 6. Calculate the remainder when l(2) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6466*s**2 - 7 - 12930*s**2 + 3 + 4 + 6462*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -1713663 divided by -4?\nAnswer: 1713663\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22887*r**2 - 36 + 25 + 11.\nAnswer: -22887*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -363.5 (b) 1 (c) -0.2 (d) 0 (e) -0.5 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 21ad (base 15) to base 12.\nAnswer: 416a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 213652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1941 is divided by 129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 161 + 23305?\nAnswer: 23466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10 - 12100000021200202?\nAnswer: -12100000021200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 45396 and 64125342?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -12 + 10. Which is the biggest value? (a) 1\/2 (b) 4\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 42 + -9. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify b*b**0*b**6*b**(-3)*b\/(b*(b\/b**2)\/b)*(b**0)**(21\/5)\/(b**0\/(b\/(((b*b*b**(2\/15))\/b)\/b*b)*b*b)) assuming b is positive.\nAnswer: b**(118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hbbbmmbhb. Give prob of sequence mb.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4135*s - 4136*s - q = 1, -3*q - 15 = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -19 - ((32460\/330)\/(9\/33))\/(-19)?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0 + 0.1. Suppose 3*t + 3*l - 6*l - 15 = 0, 4*t = 5*l + 24. Let f = 21\/296 + 2\/37. Which is the closest to k? (a) -0.3 (b) t (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -m + 3. Let b(c) = -1. Let p(z) be the third derivative of -z**5\/60 - z**4\/12 + z**3\/6 + z**2. Let q be p(-2). What is q*w(v) + 5*b(v)?\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -21102120 (base 3) in base 11?\nAnswer: -4083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (0\/(-2))\/(-71 + 75)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -159*r**3 + 4*r**2 + 209*r**3 + 122*r**3.\nAnswer: 172*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 114 a factor of 122688282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 40312373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nobnttootoonnottt. What is prob of picking 1 n, 2 o, and 1 t?\nAnswer: 18\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 11, 5, -5, 1811, 0 in decreasing order.\nAnswer: 1811, 11, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-6)\/1785)\/(12\/(-60)). Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(2736) + 0)*-5 - ((sqrt(152)\/sqrt(4))\/sqrt(2) + -5))*-3 + 0)**2.\nAnswer: -5490*sqrt(19) + 636516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 51455257.\nAnswer: 7, 31, 59, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z + 28 = 40*x + 172, 0 = -2*z - 3*x - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*n - 20*n - 22*n)*(269*n - 20*n + 70*n + 438*n + 6*n + 47*n).\nAnswer: -25110*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.8, -1110, -3\/20?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -433\/5 in -816, 0.3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1 + (-1)\/(-2)*6. Suppose -2*q + 1572 = 5*o, 0 = -6*o + 3*o + v*q + 940. Let t = o - 208. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = -z - 3*w - 1, 4*z = 5*w - 1. Suppose -4*h - 1 = v - 22, -5*v - 33 = -3*h. Let a(t) = -9*t**2 + t - t**3 + h*t**2 + t**2 - z. Give a(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:38 PM and 11:24 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((364\/715)\/(-7))\/(2\/(-5))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1 - 2232?\nAnswer: -2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 119\/19434 and -37\/48.\nAnswer: 155472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1611.95 meters in kilometers?\nAnswer: 1.61195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*v**2 - 3*v**2 + v**2)*(15*v + 17*v - 47*v)*(-3 + 5 - 3).\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 52*r - 5. Let q be 2\/6 - 32\/(-12). What is the tens digit of o(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1 + 65. Calculate the lowest common multiple of (45 - -6)*(-552)\/(-1173) and g.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 18*h + 864. Let k be b(-48). Sort -12, k, 3, 4 in descending order.\nAnswer: 4, 3, k, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31521218369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggggggcccccg. What is prob of picking 1 g and 1 c?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u - 22. Let n be y(-21). Let v = n + 56. What is the remainder when 90 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sz when two letters picked without replacement from xuuzlzuusxluszzuuuzu?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, 0.3, -32, 57, -18.1, 7, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -2*g - 3. Let u be z(-5). Factor -4*y**3 + 4*y**2 + 4*y + u*y**3 - 3*y.\nAnswer: y*(y + 1)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 4 (b) 1 (c) -478 (d) -105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.67 - 0.6. Let j = t + -2.07. Let f = -0.24 + -0.06. What is the smallest value in f, j, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 223283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -174*b + 169*b - 1135 = 0. Let v = -187 - b. Is v a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 715 and 273.\nAnswer: 15015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -559 + 67c72?\nAnswer: 67717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d**3 - 455*d**2 - 4182*d - 70. Give c(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -555 in -2\/3, -3, -1142, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 125016955 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/60*12*(-1)\/(-2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 222863767531 less than 0.5?\nAnswer: -222863767530.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 20\/(-35) - ((-6266)\/14 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (28 + -30 - -15) + 34.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 457*p - 17823. Let k be t(39). Suppose 3*n - 23 = s, -5*n = -0*n + 4*s - 27. Suppose 8*l - 5*z = 3*l + 5, 4*l - z = 10. Solve k = -l*d + n*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3240029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -7\/46 and 105\/184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*q + 5*i - 30 + 10, q - 16 = -4*i. Let n be -2*((-2 - q) + 15). Let o = -2 - n. Calculate the highest common divisor of o and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 11) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -891\/10 + 89. Suppose -16*z - 42 = 26*z. Which is smaller: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 3*o - 2)*(1 - 1 + 2*o)*(-2 + 0 + 3)*(-8 - 17 + 10) to the form s + f*o + z*o**2 and give z.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 + -0.06945?\nAnswer: -0.46945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 79, 88, 111, 148, 199?\n\"Answer: 7*z**2 - 12*z + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5\/18 - -71\/126. Which is the third biggest value? (a) -0.5 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6 + 6.3. Let r = 0.8 - 0.3. Which is the biggest value? (a) r (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 7*n - 88 = -4*p, -5*n = p - 14. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 33*q - 8. Let y(a) = 38*a + 4 + 39*a - 4 - 78*a. Determine y(f(r)).\nAnswer: -33*r + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.030644398 rounded to 5 dps?\nAnswer: -0.03064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9\/2 + -5. Let p = 1031 + -1036. Which is the nearest to 0? (a) 1 (b) x (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the third derivative of 0*r - 1\/20*r**5 - 64*r**2 + 1\/70*r**7 - 1\/40*r**6 + 0 + 0*r**3 + 1\/8*r**4. Let t(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*i**4 - 2*i**4 + i**4 + (6*i - 3*i - i)*(-7*i**3 - 5*i**3 - 2*i**3).\nAnswer: -29*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3118*i**4*m - 11*m + 36 with respect to i.\nAnswer: 12472*i**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -50*n - 599. What is s(-11)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 10463.877 months to centuries.\nAnswer: 8.7198975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3\/790 - 3877\/1580. Let d = 689609\/100 - 6896. What is the common denominator of v and d?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(3\/14)\/q*q\/(q\/(q**(-24)*q))*q)**(2\/15) assuming q is positive.\nAnswer: q**(-319\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x\/(x*x\/x**(-1)))**(-2\/181)\/(x**(-3)\/(x*x**(-7)*x)))\/((x*x*x**5*x*x*x)**50)**(3\/10) assuming x is positive.\nAnswer: x**(-27510\/181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 2*d + 0)*(-2*d + d - d + (3 + 2*d - 3)*(-3 + 4 - 3) + 0*d + 4*d + 9*d) as k*d**2 + y*d + a and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = -h + 6*h + 3*k, -2*k = 5*h - 18. Suppose -c - h = -5. Suppose 0 = c*d + 5*s + 9, -5*d + 5*s + 28 = 3. Solve -2*m = -8 - d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -478, -5, -2, -7, -3, 26 in descending order.\nAnswer: 26, -2, -3, -5, -7, -478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 2 = 2*p - 0, 0 = 4*o - 3*p - 20. Suppose 2*y = 4*y + o*y. Suppose y = -g + j + 42, 4*j - 166 = -3*g - j. Which is greater: 46 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 12636 and -258376041.\nAnswer: -258363405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -7*v**3 + 127*v**2 + 6*v - 432. What is m(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*a + a + 2*a)*(-2*a + 4*a + 0*a) - 1041*a**2 - 199*a**2 - 1608*a**2 as n*a**2 + j*a + t and give n.\nAnswer: -2846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 18 - -7. Let c(l) = l - n*l**2 - l + 0*l. Let d(b) = 3 + 87*b - 3 - 88*b. Determine c(d(z)).\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the second derivative of i - 3\/10*i**5 + 1\/3*i**3 + 0 + 0*i**4 + 0*i**2. Find the second derivative of l(j) wrt j.\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(26)\/sqrt(2) + -1 + 1.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46 = 4*x + d, -5*x + 4*d + d = -70. Let s be (2\/4)\/((-75)\/x). What is the second biggest value in 5, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -252*a + 53*a**2 + 252*a in the form r + c*a + p*a**2 and give p.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44825580 is divided by 68?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -22*f + 1937 - 31*f - 1943 as m*f + d and give m.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -22*o**2 + 1355*o - 807. Give l(61).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*6*1*(sqrt(5) + (sqrt(105)\/sqrt(3))\/sqrt(7) - sqrt(5)))**2*3.\nAnswer: 19440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 6089809, 12179633, 18269461, 24359293, 30449129, 36538969, 42628813?\n\"Answer: 2*w**2 + 6089818*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 135899407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(720) - (1 + 2*sqrt(720) + sqrt(720) + sqrt(720) - sqrt(720))) + (sqrt(720) - (sqrt(720) + 1 + sqrt(720)))*-2 + 0)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 15 + -11. Suppose 0 = r*p + 2*q - 334, -4*p - q = -6*q - 341. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -581*z - 1779 = 27898 + 18363 + 183 for z.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -75097, -75101, -75107, -75115, -75125, -75137?\n\"Answer: -o**2 - o - 75095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -689 - 623 = 328*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 22*y + 66. Determine t(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add together 2.9 and -642.798899841.\nAnswer: -639.898899841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 576507 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3)\/(-12) + 1*-1. Let h(q) = 195*q + 6239. Let j be h(-32). Put s, 1.6, j in ascending order.\nAnswer: j, s, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.663745ug to nanograms.\nAnswer: 6663.745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -898*n - 4321. What is the remainder when g(-8) is divided by 318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in -1, 1, 0.118, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 4753, 9550, 14347, 19144, 23941?\n\"Answer: 4797*m - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 2*r**2 - 17*r - 4. Let s be o(9). Suppose -c = s*c - 2*c. Which is smaller: c or -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g + 2*f + 10 = 0, -75*f + 15 = 4*g - 78*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = -3*u. Suppose 13 + 25 = 5*f + 3*w, 10 = 2*f - 4*w. Put u, 4, f in decreasing order.\nAnswer: f, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 2*t - 1744 = -8*o, 4*o - 1398 = 3*t. Calculate the least common multiple of 10 and o.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -23, -4, -6, -0.3, -7902?\nAnswer: -7902","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 3108773077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.2 and -16420907.2003.\nAnswer: -16420907.4003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1 + -3. Let h(l) = -l + 5. Let u be h(3). Let w be (-3)\/(-18) + (-1)\/u. Which is the second smallest value? (a) k (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5225063907 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4368 and 696?\nAnswer: 126672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -6*(-2 + sqrt(98)).\nAnswer: -42*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -23.1983 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {s: 3, x: 2, h: 4, n: 1, g: 1, e: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ocrr when four letters picked without replacement from {c: 2, o: 1, x: 1, r: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -6174890, -6174889, -6174888, -6174887?\n\"Answer: h - 6174891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 95\/18 and 5\/128.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -103\/40 and -139\/522?\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the third derivative of g**4\/24 + 2*g**3 + g**2. Let y = 7 - 27. Let z be (2 + 1)*y\/10. Determine d(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4060985, -4060989, -4060995, -4061003?\nAnswer: -4061013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02 - 28505681237?\nAnswer: -28505681237.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m**3 + 30*m**2 + 58*m + 59. Let u be y(-28). Suppose -5*b + 5*f = 10, -4*f + 36 - 7 = 3*b. Solve -5*h = -4*q + 8*q + 19, 0 = b*q - 2*h - u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/4)\/(((-91)\/42)\/(-13))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 15*f**3*v**3 + 112*f**3*v + 73*f**2*v**3 + 91*f*v wrt v.\nAnswer: 90*f**3*v + 438*f**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 52 and 1937?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 168*z. Is 28 a factor of w(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*p**5 + 376\/5*p**4 - 1792\/5*p**3 + 0 + 2336\/5*p**2 - 672\/5*p = 0. Calculate p.\nAnswer: -42, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -16\/3 - 2\/3*o + 1\/6*o**2.\nAnswer: (o - 8)*(o + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*v = -4*v - 5*h + 20, v = -4*h + 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -6*l**2 + 12. Let m(d) = -5*d + 33. Let j be m(9). Let i(p) = 2*p**2 + 1. Let n(w) = j*i(w) + g(w). Let z(h) = -h. What is n(z(b))?\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 9 - 6 = 0, -7 = -5*t - 4*b. Let y = -1 - -4. Let m be (-6)\/4*(y - 1). Put t, m, 3 in decreasing order.\nAnswer: 3, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m = -g + 4*m + 1, -5*m = -4*g + 4. Let x = 3223\/15 - 215. Let d = 2.9 + -3. Which is the nearest to g? (a) x (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -3*z + 1. Let u be p(-1). Suppose 58*t - 42*t = 68*t. Solve t = -u*n - 4 - 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-692)\/(-1557)*(-18)\/20)\/(2\/90).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -3\/13312?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -m**4 - 28*m**3 - 3*m + 5*m + 2 - m**2 + 27*m**3 to the form z*m**3 + f + q*m + j*m**4 + s*m**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -15*m**2 - 10*m**2 + 11*m + 4*m**2 wrt m?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 5, 19, -2.\nAnswer: -2, 3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7369.5*-9.\nAnswer: -66325.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3\/(-2)*4\/(-3). Let d = f + 0. Let o = -0.029 + 0.129. What is the smallest value in d, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 + -3 + -1 - (-8)\/(-16)*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 5*p = 2*y + 23, -47 = 4*y + 5*p. Let a = 12 + y. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1929128 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -58168.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 2\/35*(-16)\/(-512)*-48\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 16444612097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (2 - -2) + 4 + -9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x**3 + 11*x**2 - 9*x + 8. Let b be k(10). Suppose -b*o + 21*o = 5517. Suppose 0 = 5*q - 4*q - o. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 90 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -96*p + 18. Let f(j) = -19*j + 3. Let r(d) = -2*a(d) + 11*f(d). Let x(u) = 101*u + 17. Calculate -34*r(v) - 6*x(v).\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5507?\nAnswer: 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*g**2 + 813*g - 813*g.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -65*s**2\/7 + 4055608*s\/7 + 124788\/7.\nAnswer: -(s - 62394)*(65*s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -4 + 5 + 0 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1164 - -1345. What is the third biggest value in -0.5, -0.2, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s - 4*u - 43 = 0, -64731*s + 129467*s + 11 = 64737*s + 2*u for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 15 = -7*i. Suppose 3*q - 16 = -2*n, i*q - 3*n - 20 = -4*n. What is the units digit of (3 + (-156)\/q)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/(-3)*1\/((-1)\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is aa363 (base 16) in base 15?\nAnswer: db892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -41688 divided by 13896?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -9 - 2ac?\nAnswer: -2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3968 divided by -4.\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 11541\/5 + -69221\/30. Let o(u) be the second derivative of 0 + 0*u**2 + 33*u + 23\/6*u**4 + p*u**3. What is the second derivative of o(c) wrt c?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -24.2 - -27.2. Let h = 0.05 - 0.35. What is the nearest to -1\/4 in 0, b, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25*o + 12*o**3 - 8*o**3 - 5*o**3.\nAnswer: -o**3 - 25*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 5 - 3*c)*(-4*c + 2*c**2 + 4*c) + (8*c + 2*c - c)*(-3 + 3 + 4*c**2).\nAnswer: 30*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 20222 - -11?\nAnswer: 20233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30991 is divided by 345.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the third derivative of -a**9\/75600 + a**8\/33600 - a**4\/12 - 4*a**2. Let y(k) be the second derivative of f(k). Factor y(s).\nAnswer: -s**3*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -366 and -364 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b and 2 l when four letters picked without replacement from {b: 11, l: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 2*d + 4. Calculate the remainder when 130 is divided by p(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 69736*m**4 + 408*m**2 - 11*m - 5?\nAnswer: 1673664*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -221202111212211 (base 3) to base 7\nAnswer: -224234653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (466\/3)\/((-6)\/18). What is j rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 12*r. Let j(k) = 4*k**2 - 2. Let v(h) = -20*h**2 + 4. Let q(s) = 2*j(s) + v(s). What is p(q(t))?\nAnswer: -144*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43 - 30*m + 68 - 23.\nAnswer: -30*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 1, k: 7, e: 10}. What is prob of picking 3 k and 1 e?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (f + 6 - 6)*(0*f**4 - 2*f**4 + f**4) + (-75*f + 382*f + 107*f)*(-2*f**4 - f**4 + 5*f**4).\nAnswer: 827*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 9*z**2 + 12*z - 108. List the prime factors of q(12).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x = 11*t - 17*t + 40956, -2*t + x + 13668 = 0. What is the remainder when t is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*i = -10*i + 4. Let q = i + -4. Let -1 + 4*b + 0*b**2 - b**2 + q*b - 2 = 0. Calculate b.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3348, 93, 8 in increasing order.\nAnswer: 8, 93, 3348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10 - -5. Calculate the remainder when u is divided by (-12)\/132*-99*2*(-1)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 571*z**3 - 7*z**2 + 99 wrt z?\nAnswer: 3426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 750*d + 1098 + 840*d**2 + 81 + 304 - 750*d wrt d.\nAnswer: 1680*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 25333 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((sqrt(192) + -4*4*sqrt(192) - sqrt(192))*1*3)**2.\nAnswer: 442368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*q**2 - 3*q**3 - 2*q**2 + 2*q**3 + 0*q**2 - 7*q**4 to b*q**2 + z*q**4 + v*q**3 + j*q + p and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -3*b + 21. Suppose 0 = -b*c + 634 + 886. Round c to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*t + 2*d - 8, -5*d - 48372 + 48346 = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 178289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 25164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, v: 1, m: 3, r: 12, i: 2, k: 1}. What is prob of picking 1 i and 1 r?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -5*c + 171. Let j be b(36). Let d = -232 - -135. Let p be 10\/45 + d\/j. Calculate the highest common factor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47*r**2 - 2456 + 4968 - 2512.\nAnswer: -47*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 83 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -14 (base 13) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/33830 and 149\/162384?\nAnswer: 811920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:45 AM and 1:10 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4 (b) -1\/113 (c) -4 (d) -0.023 (e) 5 (f) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 4*(sqrt(162)*3 + 2)**2 - (sqrt(162)*3 + 0 + sqrt(162) + 2 + (sqrt(162) - 2*sqrt(162))).\nAnswer: 405*sqrt(2) + 5846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 24968.55 months in millennia?\nAnswer: 2.0807125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -1512.6776 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -292, -2259, -7590, -17965, -35064, -60567, -96154?\n\"Answer: -280*v**3 - 2*v**2 - v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 92*s + 2754. What is i(-30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Total of 1 and -116.6.\nAnswer: -115.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -111*k - 786. Calculate o(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 3 + sqrt(63) + sqrt(63))**2 + sqrt(441)\/sqrt(1008) + (-5*(sqrt(63) + sqrt(7623)) - (sqrt(567) + -4 + sqrt(567) + sqrt(567)))**2.\nAnswer: -6719*sqrt(7)\/4 + 300215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -596 - -596. Suppose 4*w - 10*w + 492 = o. What is the greatest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 17, -1, -45, -127, -259, -453, -721, -1075?\nAnswer: -1527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -91\/4182 and -25\/52152.\nAnswer: 886584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -433\nAnswer: 2\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/(-8) + (-5)\/(-52). Let h = 20.74 - -929.26. Let t = 955 - h. Which is the second biggest value? (a) 0.1 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from njjjjjjjjjjjjjj. What is prob of picking 2 j and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 9) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 350 and 118125.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 8892114\/289 smaller than 30769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 1010*p - 1010*p + 3*p**3 - 34 as o*p**2 + i*p + r*p**3 + j and give j.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-18)\/(-4))\/(1\/2). Suppose -5*n + w = -16. Let s(t) = 110*t + 5832. Calculate the remainder when n is divided by s(-53).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 2*t + 4 = 0, 4*y - 8 = 2*t - 6*t. Let s = -0.07 + 1.57. Let q = s + -1. Which is the closest to y? (a) 0.1 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 140322?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -436, -879, -1322?\n\"Answer: -443*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m + 2*q = -12, 0 = -4*m + 9*m - 5*q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 585 minutes after 2:27 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = 3*i - 45. Let k = 63 - -91. Calculate the greatest common factor of i and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 7*t**2 + 0*t**2 - 2*t**2 + (3*t + t - 3*t)*(-6 + 1 + 2)*(-2*t + 2*t + t) - 59 + 59 - 17*t**2 in the form h + c*t**2 + a*t and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.7, -2\/11, 8, 2\/7.\nAnswer: -2\/11, 2\/7, 0.7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2090.999999194 - 2091. What is p rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/1660532 and 77\/8.\nAnswer: 3321064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 10\/3 of a hour?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4097.\nAnswer: 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 2*y + 24. Let a(u) = -u - 1. Let r(d) = a(d) - p(d). Let l be r(-8). Put -2, 3, l in ascending order.\nAnswer: -2, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 312 divided by -66\nAnswer: -52\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 + 8 + -4 + -20 + 18 + 62?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 315 minutes after 7:49 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -2*v - 3*v + 15 + 5*v + 3*v. Let n be s(15). Suppose k - n = -k. What is k rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.2 and -0.225.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6\/(-8) + 0 + (-897)\/(-92). Suppose 0*l = -h*l + 1512. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -2*s**3 + 24*s**2 + 4*s + 204. What is the lowest common multiple of 770 and h(11)?\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -6*2\/(-3)*(-2)\/(-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -217*s**2 - 2*s - 13. Let a(m) = -224*m**2 - 3*m - 13. Let h(i) = -2*a(i) + 3*y(i). Differentiate h(r) with respect to r.\nAnswer: -406*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*d**2 + 199379*d - 3*d**2 - 199379*d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**2\/7 + 27826*r\/7 + 139080\/7.\nAnswer: 2*(r + 5)*(r + 13908)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 104033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = p + 10. Let q be n(0). Suppose u = -14 - q. Let t = -11 - u. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.191 - 8.591. Let i = 91 - 82.8. Let y = i + m. Which is the second smallest value? (a) 0.5 (b) y (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5565 - 2669. What is the remainder when d is divided by 290?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 6.8823 to 1 dp.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -167884*i**3 + 13*i**2 - 8803 wrt i?\nAnswer: -1007304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 14916692 + -14916933.9999744. Let j = x - -242. What is j rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 7314345 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 4232, 3688, 3120, 2528?\n\"Answer: -12*w**2 - 508*w + 4752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*d - 36 = 12*d - 2*r, 3*d = -5*r - 36. Let y(i) = 32*i**2 - i. Let w be y(1). Let z = w + d. What is the highest common factor of 209 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-103*j - 6823 + 553*j + 6820)*(-3*j + 0 + 0).\nAnswer: -1350*j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 80 divide 2289040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -36.1815 * -101.\nAnswer: 3654.3315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1418 + 1434 - 2870 + 19*b + (0 + 0 - 1)*(-1 + 3 - 1)*(-36 - 10*b + 36) to q + z*b and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 6156889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*t + 99 - 4. Let h = t + 34. Let c = h - 15. Solve 0*z - z = c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 24 - 19. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/(-7) + 5\/7. Is (1 - -2) + (x - -85) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 2, z: 6}. Give prob of sequence zzv.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ucpekuy. What is prob of sequence pucy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 360998079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = 13388 + -13072. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -10*x**2 + 1701*x. Let t(z) = 2*z - 67. Calculate k(t(m)).\nAnswer: -40*m**2 + 6082*m - 158857","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -49594, -99183, -148776, -198373, -247974, -297579, -347188?\n\"Answer: -2*k**2 - 49583*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7 - 6. Is (-2)\/y*(0 - (-2517)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0 - (0 - (-12)\/(-3)). Solve 4*r + i = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -7.02881 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 172, -7, -5, 98, 2, -1 in decreasing order.\nAnswer: 172, 98, 2, -1, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/7, 1, 2\/13, -53, 8, -2\/11 in decreasing order.\nAnswer: 8, 1, 2\/13, -2\/11, -4\/7, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Do -159759 and -159359 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1802?\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -78*p**2. Let n(s) = -2*s**2 + 18*s + 6. Let u(d) = 6*d**2 - 51*d - 17. Let v(y) = 17*n(y) + 6*u(y). Calculate v(w(o)).\nAnswer: 12168*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 2673031 (base 8) to base 5.\nAnswer: 143014004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 2199386775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -276*p + 501*p - 264*p = -624 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -15*g**3 + 11*g**2 + 3*g - 6. Let c(b) = 30*b**3 - 21*b**2 - 5*b + 10. What is 3*c(h) + 5*v(h)?\nAnswer: 15*h**3 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 203431, 813679, 1830737, 3254605, 5085283, 7322771?\nAnswer: 9967069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -18*j**2 - 7*j + 7*j + (-j**2 + 2*j - 2*j)*(2 + 2 - 6) to the form i + d*j + f*j**2 and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-10)\/25)\/((-2)\/35). Solve 5*g - 7*v = -2*v - 25, -4*v = 5*g + p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/(-150))\/(1\/5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - 75\/(-13))\/((-805)\/1771 + 304\/572).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 5579, 5584, 5619, 5702, 5851, 6084, 6419?\n\"Answer: 3*p**3 - 3*p**2 - 7*p + 5586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = 5*a + 113, -3*m + 245 = -8*m - 5*a. Let n be 1\/(m\/12 + 4). Solve 0 = 2*z + 5 + 5, n*z + 5 = -5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -18 + 14 + -4 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 63747 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 7*q**2 - 12*q - 74. Let h be p(-12). Suppose c + 201 - h = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) be the second derivative of -2*g**3\/3 + 5*g**2\/2 - 19*g + 2. What is v(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + 2 + 0 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the second derivative of x**4\/4 + x**3\/2 - x. What is the second derivative of m(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 305 (base 7) in base 13?\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the third derivative of -y**7\/14 - 13*y**3\/6 - 16*y**2. Differentiate v(f) with respect to f.\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -430*(-1)\/(-24)*2\/5 and (-4)\/(-10)*(-186)\/8.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(80) + 0 - sqrt(5) - sqrt(320)*-1.\nAnswer: 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i + i - 140. Let t(b) = -30*b + 14. Let j be t(0). Calculate the greatest common divisor of j and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 686963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -42 - -82. Let h = 50 - o. Solve -3*d + h = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 y, 1 b, and 1 t when four letters picked without replacement from {b: 1, y: 1, s: 2, x: 2, t: 1, n: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 57*z**2 + 30*z**2 + 28*z**2)*(0 - 4 + 2)*(9 - 26 - 27)*(3 - 4 + 3).\nAnswer: 176*z**2 + 528","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7 - 15 - 2*y**2 + 7 - 3*y**3 + 6*y**3 to the form u*y**3 + q*y**2 + f + r*y and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 183749 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, -3, 1\/4, -22\/9, -4\/9?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**2 + 590216*w + 43544365832.\nAnswer: 2*(w + 147554)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = 301 + -301. Suppose r = 2*k + 4*v + 18, 28*k + 2*v = 30*k - 6. Which is the closest to k? (a) 5 (b) 7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -2*y + 1. Let b be o(-1). Let p be ((-13)\/b)\/(4\/(-132)). Suppose -3*t - l = -p, 2*t = 2*l + 77 + 29. Calculate the remainder when t is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3, 0, 2, -1\/373, -4, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -6*h - 41. Let q(t) = -t. Let m(z) = 2*k(z) + 2*q(z). Let o be m(-7). Solve -6*f + o = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5726*s - 5726*s - 2*s**3 - 3*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2082661503.\nAnswer: 3, 13, 863, 61879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 145 - 137. Suppose 4*x + 2*c = 3 + 17, 0 = -4*c - d. Solve 2*z + 4*j = x*z + 20, 5*z = -3*j + 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/10 in 4, 5, -3627, 65?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/9, -5, 8 in descending order.\nAnswer: 8, 4\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -1\/29?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.01 in 0.04, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 3*s + 0)*(-2*s + 2*s - s**3) - 3*s**4 + 3*s**4 + s**4 + s - s + s**4.\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 - 5) + (26 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) be the first derivative of -2*f**2 - 13*f - 9. Let p be l(-4). Suppose 4*q - 3*h - 129 = 0, -p*h - 195 = -5*q - 6*h. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.3 - 0.45. Let f = u - -0.8. Let l = -0.05 - f. What is the nearest to l in 4, 2\/11, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5 - -11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 83624, 83826, 84034, 84248, 84468?\nAnswer: 84694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75 = h + 3*v, -4*v + 3*v - 67 = -h. Suppose 0 = 3*o - 3*t - h, 8*t - 3*t = 3*o - 71. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1078 is divided by 135.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + sqrt(98) + sqrt(98)*1 + sqrt(98) + sqrt(2) - sqrt(36)\/(1*sqrt(2)).\nAnswer: 2 + 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(0 + (sqrt(152)\/sqrt(32) - 1*(sqrt(76) - sqrt(19))**2)).\nAnswer: -19 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3*10\/(-5)*(-13)\/26?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 3, p: 2, i: 4}. Give prob of sequence prrr.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(7\/3)\/w*w\/(w**(-19)*w)*(w*(w\/w**(5\/9))\/w)**(2\/65) assuming w is positive.\nAnswer: w**(11903\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gtzjgxs. What is prob of picking 1 g and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 140566?\nAnswer: 2, 67, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = 5*f - 4192, -5*w + 0*w - 5*f + 5235 = 0. What are the prime factors of w?\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1 times -24921\nAnswer: 2492.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -1 - 72296*y**2 + 36146*y**2 - 14*y + 36149*y**2. What is b(-13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n**3 + 4*n**2 + 11*n + 1. Determine r(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the third derivative of 0*p**4 + 0*p - 38*p**2 + 0*p**6 + 0*p**3 + 1\/525*p**7 + 1\/840*p**8 + 0 + 0*p**5. Find o such that n(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -120114323 (base 6) to base 4\nAnswer: -20211031023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5*j**3 + 3908288*j*m**3 - m**3 - 15325*m**2 + 5*m + 7 with respect to j.\nAnswer: 15*j**2 + 3908288*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/8 - (-122)\/8. Let s = -4 + 8. Let k(l) = -l**3 + 8*l**2 - 4*l - 3. Let o be k(s). What is the highest common factor of v and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 25 + 77. List the prime factors of n.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0 - -6 - 3475\/600. Let u(p) be the third derivative of 0*p**3 + p**2 + 0*p + 0 + d*p**4. Let h(x) = 3*x. Calculate h(u(n)).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v - 10*v**2 - 19*v**3 - 16 - 15*v**3 + 3*v + 35*v**3. Let k be r(9). Let o = k + 63. Solve p + o = -1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 2*n**2. Let r(c) = 2*c**2 + 98*c. Calculate r(l(y)).\nAnswer: 8*y**4 + 196*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j\/j**(-8))\/j)**(-28) assuming j is positive.\nAnswer: j**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*q + 3037 - 5852 = -3255 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -9 - -6. What is the tens digit of -10*2\/(k - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -2*s - 14. Let i be l(-7). Suppose 4*o + 4*t = -i*o + 1404, 2*o - 5*t - 674 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -8*c + 2 + 9 + 4 - 7. Let g be t(-12). What is the highest common factor of g and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m + 199 = 189 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 9, r: 1, l: 1, e: 2}. What is prob of sequence le?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -2 - 2*u + 2*u - 2*u - 8. Let s be i(-7). What is the highest common factor of s and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2639484450 to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7 - -10. Suppose c - 22 = -3*z, 2*c + 2*c - m*z - 13 = 0. Suppose 4*r - 9 = c. Solve 2*y - 8 = -r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**3 + 8*y**2 - 4*y - 11. Let s be z(5). Let b = s - 10. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u + 5*t - t + 8, 2*t + 14 = 4*u. Let y = 2 - u. Suppose g - 6 - 1 = y. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7254 + 29021\/4. Let p(f) = -f + 7. Let s be p(5). Do v and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 8\/5, -5, -3\/275 in descending order.\nAnswer: 8\/5, -3\/275, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**2 + 6*m - 2. Let t be l(5). Which is the biggest value? (a) -7\/3 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 - (-288)\/(-45) - (-32)\/80.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 35*n + 8. Let a be y(3). Let u = 133 - a. Suppose -5*t + u = -0*t, 0 = -4*b + 3*t + 164. What is the highest common divisor of 44 and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the first derivative of l**5\/60 + l**4\/24 + l**3\/6 + 2*l**2 - 5. Let p(b) be the second derivative of h(b). Determine p(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 386 minutes after 3:51 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -22601018933 and -0.0187?\nAnswer: 22601018932.9813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let -3*a**3 - 993*a**2 - 1977*a - 987 = 0. Calculate a.\nAnswer: -329, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = 7*o - 392. Suppose 2*g - 7*g - 1 = p, 2*p + 3*g - 19 = 0. Calculate the highest common divisor of o and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -184184 by -2.\nAnswer: 92092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = q**3 + 4*q**2 - 13*q - 15. Suppose 0*t - 48 = 8*t. Let c be a(t). Let d = 29 + c. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*h*i**5 + 178*h*i + 52*i**6 + 32*i**3 - i**2 - 186*i wrt i.\nAnswer: -240*h*i**2 + 6240*i**3 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6 + -6.78. Let k = -0.44 - -0.22. Let p = k + w. What is the third biggest value in 4, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7, -51, -351, -1067, -2373?\nAnswer: -4443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*k**4 - 2*k**4 + k**4 + 5*k**4 - k**4 + 6*k**4 - 2 + 2 + k**4 + (-3*k**2 + k**2 + 4*k**2)*(2 + k**2 - 2) + 2*k**4 - 2*k**4 + k**4 + 3*k + 2*k**4 - 3*k.\nAnswer: 15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 578764665 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -113\/192 and -69\/640.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g - 5*q + 3, 2*g - q - 9 + 14 = 0. Let k be (2\/g - -12) + (-1 - 1). Solve y - k = -5*n, -4*n = 2*y - 5*y - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**37\/(g*g**(-9\/4)*g))**(-3\/8) assuming g is positive.\nAnswer: g**(-447\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 27181418821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 65553.46 - 64816. Let c = x - 732. What is c rounded to 1 dp?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that -4*a**3 + 1692*a**2 - 3368*a = 0.\nAnswer: 0, 2, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -44*v = -130*v + 258 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 13.600803 minutes in hours?\nAnswer: 0.22668005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 11 + -685377862.\nAnswer: -685377851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - (-10 + -10 + 17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 2*f = 0. Suppose 14*x**3 + 3*x**5 - 17*x**3 + f*x**5 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.23 + -2.0775. Let r = i + -5.6943. Let w = r + 9. Round w to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-7)\/(-7)*1\/(3\/33). Suppose -3*w - 5*s + o = 0, 56*w - 41 = 53*w + s. Solve 3*v - 14 = -v - 2*t, -3*v = -3*t + w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((3 + sqrt(405)*-2 + sqrt(405))**2 + (-6*(-1 + sqrt(5)) - (sqrt(5) + (sqrt(5) + (sqrt(5) - sqrt(20)) + 4)**2)) + -2).\nAnswer: -366*sqrt(5) + 2412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2470960 and 617740.\nAnswer: 2470960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 7.22 rounded to one decimal place?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -33684, -67177, -100296, -132855, -164668?\nAnswer: -195549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 15 (b) -9 (c) 0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k\/((k*k**26)\/k*k))\/k)\/(k\/k**(3\/10)))\/(k**(-3\/11)*k**(-6\/7)) assuming k is positive.\nAnswer: k**(-20459\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/(-4)*(8 + -2). Suppose 2*k + 17 = l*s - 27, -44 = 2*k + 4*s. What is the common denominator of 5 and 1\/(k\/(-318)*3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b**3 - b - 1. Let k(z) = z - 4. Let s be k(6). Let c be n(s). Find the second derivative of c*q**2 - 3*q**4 - 5*q**2 - 3*q wrt q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 13 - -345?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 3 + 1)*(-f + 1 - 1) - 67007 - 28056*f - 36*f + 67007 - 96712*f - 66416*f.\nAnswer: -191218*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 33283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the second derivative of -o**3\/2 + 2*o**2 - o. Let x(k) = -6*k + 7. Suppose -14*s + 18*s + 20 = 0. Give s*d(l) + 3*x(l).\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of 27 and 18.29167.\nAnswer: 493.87509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -140270 divided by -26?\nAnswer: 5395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**12*b**(-6\/19) assuming b is positive.\nAnswer: b**(222\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 25 - 35. Calculate the common denominator of f and 37\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -121 - -123. Calculate the lowest common multiple of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 257.4329 tonnes to kilograms.\nAnswer: 257432.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:48 AM and 3:19 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4948739?\nAnswer: 4948739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(68) - (sqrt(68) + sqrt(68) + -1)*5))**2.\nAnswer: -180*sqrt(17) + 5533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Total of 48.3 and -42534.\nAnswer: -42485.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 940178.\nAnswer: 2, 470089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -214.5 + 203.5. What is the fourth smallest value in -3\/5, -2, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 - (0 + 28) - (2 + -32 + 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (0 - 29)*-1 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 66339011?\nAnswer: 179, 370609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3.2 - -4.7. Let s = -24.8103 + 23.3102875. Let b = v + s. What is b rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o**2 - 28*o + 3. Let t be k(28). What is the second derivative of 15*w + t*w - 58*w**4 + 85*w**4 wrt w?\nAnswer: 324*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -159 + 618. Let h = o - -35. What are the prime factors of h\/14 + 4\/(-14)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10\/97 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -1\/296974781?\nAnswer: -1\/296974781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k - 2. Let i(o) = o**2 + 2*o - 1. Let v be i(-3). Let h be d(v). Solve -2 = -5*w + s, -4*w + 4*s = -h*w - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.467181 rounded to three decimal places?\nAnswer: 1.467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 363 = -4*b - 3325, -z = 4*b - 1014. Let r = z + -3016\/3. Calculate the common denominator of r and (-4)\/((-24)\/(-49)) - 10\/30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -408*o - 18522 + 18522 + (2 + 1 - 5)*(-2*o + 3*o - 2*o) + (o + 0 + 0)*(-2 + 2 + 3).\nAnswer: -403*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/3)\/((-56)\/(-228)) + -3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*l - 77 + 142 = 0. Let m be 25\/10*(-12)\/(-10). Let d(i) = i - m*i + 1 + i + l. What is d(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 6\/((1188\/(-418))\/(-9)). Solve 48 = d*y - 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (7\/2 - 75\/15)\/(6\/(-828)). Solve -z = -2*i - 199 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2755 - -5?\nAnswer: 2762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n be -8 + (6 - 1) + 3. Suppose n = -18*f + 9*f + 12771. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**3 + 7*o**2 + 5*o + 103. Suppose 16*x + 42 = -86. Let v be n(x). Let k(y) = -3*y + 3*y + 9*y. Determine k(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 79260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -44 - -46. Which is smaller: -15 or r?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -224, 2, -24 in descending order.\nAnswer: 2, -24, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 2*n + 2 = -4*n, 0 = -n - 3. Let u(h) = h**2 + 2. What are the prime factors of u(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7519 is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/104 - (-3959220)\/45448.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 82412 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 0*n**4 + 0*n**4 + 5751*n**5 + 136*n - 5747*n**5 wrt n?\nAnswer: 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 92 + -94. Sort -1, -8, x in increasing order.\nAnswer: -8, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:37 PM and 2:56 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 15565 + -15569. Let m(v) = 2*v**2 - 24*v - 96. What is m(c)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o - 14 = r, 0 = -4*o + 8*r - 6*r - 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify n*n*n**(21\/2)\/n*n*n*n**5*n**(9\/7)*n**(-23) assuming n is positive.\nAnswer: n**(-45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 404 - 400. Suppose 4*l = j*s - 8*s + 40, -4*l = -s - 15. Solve -5*f + 5*a + 4 + 1 = 0, 3*a + 19 = -s*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 43.0376 + -43. What is g rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*o + 0*o - o)*(3*o**4 - 3*o**4 + o**4) + 36*o**5 - 17*o**5 + 7*o**3 - 6*o**3.\nAnswer: 10*o**5 + o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*g = 22*g - 100. Is 24 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w**2 + 4*w + 7. Let v be j(5). Let k be (5 - v)*(-1)\/(-3). Let o(r) be the third derivative of r**4\/8 - r**3\/6 + 19*r**2. Give o(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is m in 3*m**3 - 60*m**2 - 129*m - 66 = 0?\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + -2*sqrt(52)\/(sqrt(4) + (sqrt(324) - sqrt(4))).\nAnswer: -2*sqrt(13)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-945)\/81)\/((-150)\/(-900))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the first derivative of -2 + i**2 + i - 1 - i. Let w(n) be the first derivative of n**2\/2 + 4. Give w(s(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes after 1:54 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + (-17 - (1 + -10 + -1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -41*f + 18*f + 4*f**2 + 18*f - 2. Let j be p(2). Let r(u) = u**3 - 3*u**2 - 5*u. Calculate r(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 275 - 275. What is the second smallest value in u, 3, -2\/79, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 71 - -15?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*c - 98 + 384. Let l be 4\/(-11)*121\/c. Solve l*t = -3 - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w - 257*w = 3780 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 + 10.581?\nAnswer: 10.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*n - 3 + 3)*(-2 - 2*n**2 + 2) + (-n - 2*n + n)*(5*n - 2*n**2 + 2*n**2 + 2*n**2).\nAnswer: -8*n**3 - 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the first derivative of -k**5\/360 - k**4\/36 + k**3\/3 + k**2 + 19*k - 147. Let t(q) be the second derivative of h(q). Find u, given that t(u) = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3764*a**3*w**3 - 2*a**3 + 66*a**2*w**3 - 789*a**2*w**2 - 2*a*w**3 + 405*a wrt w.\nAnswer: 22584*a**3 + 396*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1 bigger than 11\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q + 165 = 3*q. Let o(g) = -g**3 + g**2 - 6*g + 5. Let a be o(-5). Let d = a + q. What is d rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (33 - (25 + 2)) + -22?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n + 2*n = -60. Let r = -79 + 82. List the prime factors of r + 28\/12*n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.3 and 88339.\nAnswer: -26501.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in seventy-seven fifths of a hour?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*v**4 + 32*v**3 + 1680*v**2 - 3456*v.\nAnswer: -4*v*(v - 24)*(v - 2)*(v + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -730 = 145*f - 150 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0 and -493019?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -494 - -517. Find w, given that -n*w**2 - 5*w**5 - 9*w**4 - 24*w**2 + 160*w + 24*w**4 - 31*w**2 - 60 + 25*w**3 - 57*w**2 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 85 - 80. What is the second derivative of -4*v + 8*v**l + 2*v + 35*v wrt v?\nAnswer: 160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 + 24.7272664192907.\nAnswer: 27.7272664192907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 8299469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -14*(-4 - -1)\/((-84)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**3 - 17*x**2 - 44*x - 28.\nAnswer: -(x + 1)*(x + 2)*(x + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 2*q - 18. Let b be d(11). Suppose -8 - 8 = -b*a. Let t(s) = -2*s**2 + 7*s - 4. What is t(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -30*i - 28*i - 5*i**2 + 90*i - 32*i - 17 to the form a*i**2 + x + h*i and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -374869592, -374869589, -374869586, -374869583, -374869580?\nAnswer: -374869577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 49870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 249 a factor of 16339380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (28\/(-10))\/(90\/(-300))*9\/(-6)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -7313521821 - 0.00013?\nAnswer: -7313521821.00013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 43, 115, 225, 385, 607, 903, 1285, 1765?\nAnswer: 2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 796321965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 153 + -32294697638?\nAnswer: -32294697485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*t + 52*t = -62*t + 1005225. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.13 - -2.57. Round m to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5 - 218*b**3 + b**4 + b**2 + 102*b**3 + 105*b**3 as s*b**2 + k*b + v*b**4 + w*b**3 + a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be 24\/(-15) - (-6)\/(-15). What is the units digit of (-32)\/(-10) + i\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/6 and -23\/24151?\nAnswer: 144906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19 divided by 5.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0491*-0.764438.\nAnswer: 0.0375339058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 23*c**3 + c**2 + 4*c + 2. Let o be d(-1). Let h be 1\/(3*((-44)\/o)\/(-11)). What is the tens digit of (78\/(-15) + h)\/(10\/(-25))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -14*o - 56. Let k = -26 + 26. Suppose k = 5*b - 575 - 105. Calculate the remainder when b is divided by n(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -a - 58, f + 3*a + 52 = -0*f. Let u = f - -64. Solve -5*g - y = 15, y = u*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 12.1, 2\/31, -3, 0, -1\/14 in ascending order.\nAnswer: -3, -1\/14, 0, 2\/31, 3, 12.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/(-9)*(-12)\/(-2). Let f = -1 - -7. Suppose -2*g = -f*g + 32. Calculate the greatest common factor of d and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4 + 8. Suppose -5*f = -n*k - 3, -4*f - 2*k - 4 = 4. Is f < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000202187 to five decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10109135 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*r**3 + 1 + 3*r - 12*r**3 - 1.\nAnswer: -9*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 85\/1409604 and -25\/5246052.\nAnswer: 508867044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1278, 3821, 12322, 24225?\nAnswer: 39530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {v: 2, b: 1, k: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 23687.341395 to 0 dps.\nAnswer: 23687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1032 + -1051250?\nAnswer: -1050214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find c such that -8*c**5\/11 + 569*c**4\/11 - 7143*c**3\/11 + 20596*c**2\/11 - 224*c = 0.\nAnswer: 0, 1\/8, 4, 11, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/42*(4 - 10). Let z = 1.3 + -4.3. What is the closest to z in 1, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00055048 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 67 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*n**3*q**3 - 26908*n**3 + 2*n**2*q**2 + 1133*q**3 wrt q?\nAnswer: 12*n**3 + 6798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = -y + 2*y + 2, -3*n - 2*y - 4 = 0. Suppose -4*g - b = -n*g - 424, b - 4 = 0. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1081813.\nAnswer: 1081813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -90987.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -15581853*i*j**2*z + 1277*i*j**2 - 62*j**2 + j*z + 9*j with respect to z.\nAnswer: -15581853*i*j**2 + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes after 1:52 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -261*d - 14*d + 275*d - 3347*d**3.\nAnswer: -3347*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 35\/98*(352\/40)\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -113 + 188. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + -3 + (0 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -36797, -36775, -36767, -36779, -36817?\nAnswer: -36887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-1\/15))**(-8\/11)\/(z*(z*z*z\/(z\/(z\/(z**(-8)*z)*z))*z*z)\/z*z*z\/z**(-36)) assuming z is positive.\nAnswer: z**(-8407\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 3\/7 (b) 342 (c) 6\/11 (d) 4\/3 (e) 0.4 (f) -0.4 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add -234763 and 2729.5.\nAnswer: -232033.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vfooedovove. What is prob of picking 2 e and 1 o?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 19 = 4*l - 1, 3*u - l - 8 = 0. Let t = -8147 - -8521.3. Let s = t - 374. Which is the nearest to u? (a) s (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 2*d. Let n(v) be the third derivative of -337*v**4\/24 - v**3\/6 - 216*v**2 + 6*v. What is n(x(s))?\nAnswer: -674*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/((d\/(d*d**1\/d))\/d))**(-2\/115)\/(d\/d**(-1\/4))**(-1\/14) assuming d is positive.\nAnswer: d**(351\/6440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-5)\/10 - (-44)\/8. Suppose p + 11 = 3*f, 4*p - 36 = -f - 3*f. Suppose -4*s = -p*r - 328, -s + u*s + 5*r = 301. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*-1*(sqrt(360)\/sqrt(2))**2*-2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 511597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence idw when three letters picked without replacement from igiggiggiigwidgggidg.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 22789 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1237 - 1240. Sort 5, -5, -2, q in increasing order.\nAnswer: -5, q, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) 4 (b) 316 (c) 1 (d) 2\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r**3 - 16*r**2 - 17*r + 10. Let d be c(17). Let g(p) = -p**2 + 6*p - 4. Let u be g(4). Differentiate -8 - 2*j**2 - d*j**2 + u*j**2 wrt j.\nAnswer: -16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u = -n + 11, -n = -5*u - 352 + 320 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4 - 0\/(3 + -2). Suppose -z = -8 - v. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.75688947 to two dps.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is ((-721)\/(-206))\/((-133)\/8)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 5 + (4 - 8) + 2 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 2, -3, 5, -79 in descending order.\nAnswer: 6, 5, 2, -3, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(2\/20)*((-1024)\/5)\/(-64)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -311*f - 2798. Determine z(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 6163, 6165, 6167, 6169, 6171, 6173?\n\"Answer: 2*d + 6161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 5 = -2*r. Suppose r*h - 4 - 12 = -4*l, 5*l - 47 = 3*h. What is the second derivative of -4*j + 4*j + j + l*j - j**3 wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 5725 and 10114.\nAnswer: 57902650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2637 - -1371. Let b = d + 1268. Factor 0 - 2\/19*h**b - 4\/19*h.\nAnswer: -2*h*(h + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 378 and 21?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -18, -70, -164, -306, -502, -758, -1080?\n\"Answer: -l**3 - 15*l**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 3*s - 147 = -t, -303 = -4*t + 3*s. Let h = -12 - -27. Calculate the greatest common factor of t and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 2541574 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 108.65, 13, -1\/7, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 2*y**2 + 4*y + 9. Let n be p(-8). Suppose -n = -6*t + 63. Suppose -t = -4*x - 0*x. Solve 2*o = x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/(-1) + (-5)\/(-1). Suppose 4*k = l*k + 3. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**2 - 1. Let u be d(-2). Which is the closest to -1? (a) u (b) -3\/2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/(-24)*((2 - 5) + -1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4, 10, -6, -62, -176?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**3 - 3*l**2 + 2*l - 12. Let g = 90 + -18. Suppose 0 = t + 4*z - g, 2*t + z - 69 = t. What is the remainder when t is divided by w(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.02150282 to 6 decimal places.\nAnswer: 0.021503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -6, 5, 22, 45, 74, 109, 150?\n\"Answer: 3*s**2 + 2*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 12 (base 11) in base 2?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 4*b + 1. Let v(r) = 19*r - 32. Determine 5*k(a) - v(a).\nAnswer: a + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = -64 - -62. Let o(z) be the third derivative of z**5\/30 + z**4\/6 + 5*z**3\/6 + 38*z**2. Let n(k) = -2*k**2 - 3*k - 4. Determine g*o(c) - 3*n(c).\nAnswer: 2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -10407.99 to the nearest 100.\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 16*l**3 + l**2 - 2*l + 1. Suppose -3*g + 0 = -3. Let u be p(g). Solve 6 = -2*s + 3*w, -5*s + u = 3*w - 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -129*i + 37226 = 44*i + 4356. What is the greatest common divisor of i and 7372?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-8)\/(-12))\/(2\/6). Let o(y) = 6*y**a - 3*y**2 + 6*y**2. Let x(u) = -2*u**2. Calculate x(o(j)).\nAnswer: -162*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26 + 23 + (-9 - 8).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.12 * 12\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/4 - (-45)\/12. Let v be -6*(-1 - (-2)\/3). Suppose v*g - g = s*l - 49, -g + 3 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -224*f + 0 = -30*f - 0. Suppose -3*r - 3 = -5*i - 25, 24 = 5*r - 2*i. Let n(g) = g**3 - 4*g**2 + g - 2. Let m be n(r). Put -2, f, m in decreasing order.\nAnswer: m, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -11 + 5. Let p be (4\/r)\/(3\/9). Let o = p + 4. Solve -d = -o*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 2518 = 4*x - 5*u, 3*x = u + 1888. Suppose 0*f = -2*f + 22. Suppose -4*l = -f*l + x. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -1 = -14\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -n = -4, j - 3*n - 104 + 112 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yoyy when four letters picked without replacement from oooooyyyoooyyyyo?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 35, 52, 67, 80, 91, 100?\n\"Answer: -k**2 + 20*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 38468 and 11410?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11948*s**2 - 2 + 2 - 41621*s**2.\nAnswer: -29673*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.05 + 3.05. Let y = -3 - 0. Sort 2\/3, y, b.\nAnswer: y, 2\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 732 + -729. Let t(i) = -11*i + 4*i**y - 7*i**2 + i - 3 + 13*i. Let w(p) = -5*p**3 + 8*p**2 - 4*p + 4. Let b = -5 + 2. What is b*w(g) - 4*t(g)?\nAnswer: -g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be 9*(-4)\/(-24)*2. Suppose -z + 5 = -0*v - 5*v, -v = -g*z + 1. Solve z = -0*k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 6*d = 0. Suppose 24 = -d*k + 4*k. 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: How many kilometers are there in 3737.82mm?\nAnswer: 0.00373782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 78096 is divided by 77800.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 34620*g**2*h*j*t - 26*g**2*j**3 - 88*g**2 + 4*g*j**3 - 3*h*j**3 + 2*j*t wrt h.\nAnswer: 34620*g**2*j*t - 3*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -571720 divided by 57172.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -121201 + 10111?\nAnswer: -111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (300\/(-125))\/((-3)\/10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3373226893 to the nearest integer?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.208 - -3.208. What is the nearest to -2\/3 in d, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -301983\/16 + 18885. What is the smallest value in -2\/3, 2\/5, 0.5, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**2 + 41*k - 182. What is q(37)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 38*a**2 - 60*a**2 + 5*a**3 + 2*a**3 - 1 - 2 + 18*a**2 to the form x*a + j + w*a**3 + h*a**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i**5\/9 - 22*i**3\/9 - 4*i**2 - 16*i\/9 = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5 - 767949*n + 762730*n - 5 + 0*n - 3*n + n + (-3 + 1 + 0)*(-2*n + 1 - 1) + 2 - 2 - n + n - 2 + 2 to the form t + s*n and give s.\nAnswer: -5217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 10 = -i, 3*i - 3*n + 5 = 7*i. Is i equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -359 (base 12) to base 16.\nAnswer: -1f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 147750568 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 48126321049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5632\/3 + -24471037\/13035. Let r = w - -447523\/52140. What is the common denominator of 1442\/(-24)*(-2)\/(-14) and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*k**3 - 3220*k**2 + 188735*k + 191950.\nAnswer: -5*(k - 55)*(k + 1)*(k + 698)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.047328 + 0.3.\nAnswer: 0.252672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 552*c + 546*c - 1121*c + 138 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 2 - 1)*(3*l**2 - 4*l**2 + 2*l**2 + (0*l + 0*l - 4*l**2)*(7 - 3 - 2) - 3 - 2*l**2 + 3) to the form r + a*l + o*l**2 and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: ((-60)\/21)\/(17\/119) + -4\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 345 and 420510.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 21*k**4\/8 - 171*k**3\/4 + 12*k**2.\nAnswer: 3*k**2*(k - 16)*(7*k - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 7, p: 4, q: 5}. Give prob of sequence fppf.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 - 3. Suppose 5*f - 22 = -3*r, 2*f = -f + 6. Let y(a) = -3 + 60*a - 31*a - 32*a - r. Determine y(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2 and -0.849152?\nAnswer: 1.698304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -15 + 14. Let h be ((-6)\/201)\/(4 + -3). Which is smaller: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/(-2) - 5\/(-2). Let i = 0 + 4. What is the first derivative of i*u - h*u - 5 + 2 + 1 wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uxuxuu. Give prob of picking 4 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (q**4 - 3*q**4 + 0*q**4)*(2*q - q + q) + 4*q**5 - 2*q**5 + q**5 + (-q - 6*q - 24*q)*(-2*q**4 + q**4 + 0*q**4).\nAnswer: 30*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 48.996 - -0.004. Let x = h + -49.062. What is x rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1996.9 - -2196. Let t = i - 240. What is t rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 128004 is divided by 9778?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((5*sqrt(208)*-1 - (3 + (sqrt(208) - -1*sqrt(208)))) + -5)**2.\nAnswer: 448*sqrt(13) + 10258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -78.6 + 186.9. Let l = y + -108. Which is the third biggest value? (a) 3 (b) -1\/8 (c) l (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000003204 to 7 dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 279 minutes before 7:03 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 3*q**3 - 2*q - 2. Let z(k) = k**2 + 2*k + 7. Let i be z(0). Suppose -17*w + i = -10. Let o(g) = g**3. Determine w*x(f) - o(f).\nAnswer: 2*f**3 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor k**2 - 1990*k + 990025.\nAnswer: (k - 995)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 535, 1, -121.4 in ascending order.\nAnswer: -121.4, 1, 535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 9342 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) be the first derivative of z**4\/4 - z**3 - z**2\/2 + 7*z + 18. Let h be w(3). What is the greatest common factor of 36 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -86661 + 86664. Factor 0 - 17\/6*s**h + 0*s + 1\/2*s**4 + 5\/3*s**2.\nAnswer: s**2*(s - 5)*(3*s - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t**3 - 11*t**2 + 41*t - 14. Let u be b(-14). Is 78 a factor of u + 3 + 2 + (29 - -910)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2443612.\nAnswer: 2, 23, 26561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 2\/19 (b) -2 (c) 2\/11 (d) 13 (e) 17\/3 (f) 243\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/21? (a) -1\/4 (b) 1\/6 (c) -18\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 2 + 0 + (-2 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/30145845 and 163\/60291690.\nAnswer: 60291690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 414.2 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m**3 + 8*m**2 + 5*m - 10. Let g be u(-7). Suppose 20 = 53*j - 58*j. What is the tens digit of g + 22 + j + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -7246368*x. Let i(u) = -6*u**2. Determine i(k(m)).\nAnswer: -315059095148544*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 50698 * -5448.\nAnswer: -276202704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -454.8753 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3 + 0)*(-4 + 5 + 2)*(885*c**4 - 117774*c**2 + 117774*c**2).\nAnswer: 2655*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*w + 4*w + 102. Suppose -145*m = -146*m + 68. What is the greatest common factor of m and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1753 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(1\/8)\/y**5*y*y*y**(-23)*y*y*y*y**(-3\/4))**(-23) assuming y is positive.\nAnswer: y**(4347\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 68062 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 126 and 6079934.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -2*a + 75. Let o = 55 - a. Suppose -o*y = 377062 - 3447062. What is y rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -71 + 39 + (63 - 3)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -11\/206 (b) -100 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.1, -8.4, -5, -0.06, -5\/2, -1, 2\/5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -77 = -3*i + 2*u, 3*i - 4*u - 27 = 40. Let z(n) = 436*n. Let v be z(1). Suppose 3*s - 868 = -v. What is the remainder when s is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 813 is divided by 152.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -14*c**3 + 12*c**3 + 2*c - 9*c**2 + 2*c**4 + 4 - 9*c + 10*c**2 in the form a*c + y*c**3 + q*c**2 + r*c**4 + d and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (264 + 27 - 58)*(15*c - 15*c + 17*c + (3 + 2 - 6)*(0 - 2*c + 0))*(-2*c**2 - 2*c**2 + 5*c**2).\nAnswer: 4427*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-4)*48\/(-54)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 5418 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 155 is divided by (12 - 65\/5) + 48?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + s = -5. Let j = -6 + 6. Let n = 8.659 - -2.341. Which is the biggest value? (a) 5 (b) j (c) s (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*h + 2 - 3*h**2 + h**2 + 8*h - 2 to the form x*h + j*h**2 + o and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-330)\/(-55))\/((-546)\/42)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 7904255 to the power of 1\/2, to the nearest integer?\nAnswer: 2811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 480265117*s**5 - 489381801*s**2 wrt s?\nAnswer: 28815907020*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -15\/21565862 and -23\/72549?\nAnswer: 582278274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q**3 + 3*q**2 + 2*q + 4. Let r be -9*((-21)\/(-9) + -2). Let v be g(r). Suppose -2*i - 2*i = -v. Calculate the highest common factor of 91 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*z + 2018872 = 4*m - 22*z, -5*m + 2523599 = -4*z. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 181 = 2*f - 15, 3*b - 112 = -4*f. What is b rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -74*s = -81*s + 10 + 25. Solve -10 = -m + 6*m + s*w, 5*m - 5*w = -40 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1799*v**4 + 2*v**2 - 24512 with respect to v.\nAnswer: -7196*v**3 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -0.40176*-812\nAnswer: 326.22912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the third derivative of 0*s**3 - 7\/40*s**6 + 0 - 37\/20*s**5 + 0*s - 5\/4*s**4 - 6*s**2. Factor d(t).\nAnswer: -3*t*(t + 5)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -8425964*a**5 + 1697690*a + 3 wrt a.\nAnswer: -168519280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 188181 and 522725?\nAnswer: 4704525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:02 PM and 12:24 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f be -18*1\/((-6)\/220). Suppose 7*v = 4*v + f. Let n(g) = -1649*g - 39556. Let w be n(-24). Calculate the highest common divisor of v and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11.827958 rounded to 3 dps?\nAnswer: 11.828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5.51 - -0.09. Let o = -6 + n. Round o to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 28016 (base 11) to base 9\nAnswer: 60715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 27028274321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 15*-2412\nAnswer: -36180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 217 minutes before 7:58 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -5.009 take away 36.011?\nAnswer: -41.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) be the first derivative of -a**5\/10 - 9*a**2\/2 - 1. Let v(f) be the second derivative of i(f). Let m(z) = 4*z. Calculate v(m(x)).\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = -17 + 16. Let z(x) = -1312*x + 60. What is the units digit of z(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-164 + 164 + 3*o**2 - 10*o)*(-5*o + 10*o + 6*o - 2*o**2) to the form u + b*o**2 + s*o**4 + a*o**3 + y*o and give b.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.284 + -0.054. Let j = g + -0.3. Let c = j + -0.03. Is 4\/9 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + 3 - b**2 + (0 + 19*b + 0)*(3*b - 7*b + 3*b) - b**2 + 0*b + 0*b + (0*b + b - 3*b)*(-2*b - b + 2*b).\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1073 + 22*d + 1068 - 4038*d**2 - 2140 wrt d.\nAnswer: -8076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -28268, -226218, -763514, -1809830, -3534840, -6108218, -9699638, -14478774?\n\"Answer: -28279*g**3 + g**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**2 + f + 2. Let m be w(2). Let i be m\/((-2 - -4) + 0\/(-1)). Do 1\/90 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 91988106.\nAnswer: 2, 3, 7, 2190193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (382*h**3 + 60203*h**2 - 60203*h**2)*(0 + 2 - 3).\nAnswer: -382*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -86\/679239 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 314437 (base 9) in base 14?\nAnswer: 4c1dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = -2*y - 4. Let n = 6 - y. Factor 0*u**2 + 6*u**3 + 4*u - 3*u**n + 13*u**2.\nAnswer: 2*u*(u + 1)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3\/1642 - 7792\/4105. Find the common denominator of f and ((-2)\/7)\/((-4)\/(-17)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/5 - (-61)\/(-5). Let i = -9 - x. Let b be 1*3\/(i\/1). Solve t + b = 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:17 AM and 2:33 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(4*-1*sqrt(108))**2 - (-1*(-1*sqrt(108) + 3))**2.\nAnswer: 36*sqrt(3) + 6795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.9 - 0.1. What is the nearest to -3 in 0, -1\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (14 - 4\/(-4)) + 3. Let l = -31 - -140. Let f be -4 + (l + 1)\/5. Is f equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 338, 622, 892, 1142, 1366?\nAnswer: 1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 454 (base 7) in base 3?\nAnswer: 22201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 67*a = 57*a + 60 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 42*d - 509 + 1652 = -2049 for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(2\/7))**1*x**(1\/15)\/x*x\/(x*x**1*x) assuming x is positive.\nAnswer: x**(-278\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 155551 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 23 - -33250121?\nAnswer: 33250144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r**2. Let n(a) = -16*a**2 + 3*a - 3. Let d(o) = 592*o**2 - 112*o + 112. Let k(j) = 3*d(j) + 112*n(j). Determine q(k(h)).\nAnswer: 256*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001023009038 rounded to seven dps?\nAnswer: -0.0001023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -x - 10*x + 48*x.\nAnswer: 37*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be -39*4\/(-28) - (-21)\/49. Solve -k + t = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -64*x + 8. What is the remainder when 245 is divided by f(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.091 + 0.661. Which is the third smallest value? (a) -1 (b) t (c) 3 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -624 - -1511. What is the remainder when s is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 0*1\/(-2) - 2. Let k = 0.090883 + 1.009117. Which is the smallest value? (a) u (b) -0.4 (c) k (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20 + 10 + (-6 - -15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n*n**5)\/n*n)**(-10)*(n\/(n\/(n*n\/(n**3*n))))**(-1\/2) assuming n is positive.\nAnswer: n**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -21.7 - -22. Which is the third smallest value? (a) -2 (b) z (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the first derivative of 27*y**4\/4 - y**3\/3 + y**2 - y - 43379. Let u be 2*(2 + 0)\/4. Calculate m(u).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dn when two letters picked without replacement from dnj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2549\/4 - 637. Put k, 1, -5 in ascending order.\nAnswer: -5, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -26158, -52731, -79304, -105877, -132450, -159023?\n\"Answer: -26573*h + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 395 - 357. Suppose 28*f + 6840 = v*f. What are the prime factors of f?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -5, 12 in ascending order.\nAnswer: -5, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1339084014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x**4\/4 + 865*x**3\/2 + 36700*x**2 - 905000*x = 0. What is x?\nAnswer: -100, 0, 20, 1810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 59*i**3 - 28 + 42 - 295*i**3.\nAnswer: -236*i**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 6729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 78407 + -2?\nAnswer: 78405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2232424 + -3?\nAnswer: 2232421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -19 = 2*d - 3*p - 5, 0 = -5*d - 5*p - 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -218*v - 739. Does 9 divide l(-29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 15, 6, 1\/9, -13.783, -2\/5 in descending order.\nAnswer: 15, 6, 1\/9, -2\/5, -13.783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4 - -6. Suppose -p + 4 = -3*p, d*w - 2*p = 8. Let u = -102\/145 - -3\/29. What is the second smallest value in w, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1123 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1224983 - 17)\/((-2)\/4). Round z to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0.2, -10, -1635\/212 in descending order.\nAnswer: 4, 0.2, -1635\/212, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -38*z**2. Let m(v) = -24*v. Calculate d(m(r)).\nAnswer: -21888*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1 + 0 + 4)\/(-1). Calculate the remainder when (-195)\/k + 1 + -1 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = -o + 5*k + 23, -4*o - 5*k = 29. Let p(q) = q**2 + 9*q + 8. Let l be p(o). Let x be (-148)\/l + 2\/10. Solve 4*y + y - x = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 38 and 21394?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 34 divide 4454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 1.370693534 - 21.9\nAnswer: -20.529306466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -2097, 950, 3997, 7044?\n\"Answer: 3047*j - 5144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is (-3*13)\/((-84)\/11732) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (12 - 2123\/11)*-29.\nAnswer: 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r**2 + 3*r + 3. Let d = 31 + -28. Let i be o(d). Suppose 6*c = 2*c. Solve 0 = -4*q - c*q + i*l + 3, 0 = -5*q + 3*l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 5*a**3 - 4*a**2 - a - 1. Let j be 8\/14 - ((-204)\/84)\/1. What is the remainder when g(j) is divided by 42?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 128331766 + -128331879.999882. Let r = d + 114. Round r to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {k: 8, u: 3}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 32\/100521 and 38\/599403.\nAnswer: 16183881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -243*j + 226*j + 327080 = 0. What is the thousands digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 41, 174, 411, 764, 1245, 1866?\nAnswer: 2639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2.05 - -0.05. Let w = 92 + -646\/7. Which is the closest to w? (a) -3 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000432548511 to five dps.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2\/673 - 1376\/10095. Let x(z) = 2*z**2 + z - 7. Let i be x(-6). Let r = i - 353\/6. Which is the nearest to 0? (a) 5 (b) r (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -79758 = -1192*u - 557*u - 1205*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2400) - -2*sqrt(2400)) + -1*sqrt(1176))\/(-2*(sqrt(392) + 5*sqrt(392))).\nAnswer: -23*sqrt(3)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be -10*1\/(-5)*4. Let w = 2 - d. Is (-33)\/w*(-12)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 409.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 * 0.0244935.\nAnswer: 0.00734805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 9*t + 27. Let m be i(-2). Suppose -2*d - 98 = -4*j, -5*d - 27 = -5*j + 83. What is the greatest common divisor of m and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (2*(0 + -3*(2 + sqrt(1584) - sqrt(1584)) + -5))**2)*4 + -1.\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r**5 - 260*r**4 + 265*r**3 = 0. Calculate r.\nAnswer: -53, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2 + 3 + (-9)\/3. Suppose 8 - 2 = 2*r, -k = -y*r + 5. Is (k + 52\/(-16))\/(3\/(-24)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -2655, -10776, -24295, -43206, -67503, -97180?\n\"Answer: g**3 - 2705*g**2 - 13*g + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5\/13 + 233\/403. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3840)\/(-448)*1624\/(-290)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -716*i = -713*i - 5*k - 47, 4*k + 44 = 4*i. Solve -i*t - 18 = -2*x, 0 = 7*x - 12*x - 4*t + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 235*i**3 - 734*i - 2 wrt i?\nAnswer: 1410*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1 + 1. Let m = 28 - 39. Let u = 6 + m. Which is the closest to r? (a) u (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 82115*l + 130 = 81985*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 33520 and 4190.\nAnswer: 33520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = -3*o - 96. Round o to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2.15, -3, 39, 4, -3\/5 in decreasing order.\nAnswer: 39, 4, -3\/5, -2.15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = 38.29258 + -38.3. What is u rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -100010010 (base 2) to base 14\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1505\/129*((-5)\/50)\/(1\/(-12))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11 - -46. Suppose r + 40 = 2*h - r, -2*h + r + u = 0. Suppose -2*v + h*v - 260 = 0. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = 4*y + 14, 2*y + 6 + 4 = 0. Suppose 2 - 8 = 5*n - x*l, 4*l - 2 = 5*n. Sort 1, n, 3 in decreasing order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 606*m - 372 = 575*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c be (1 - 3 - -4)*-2. Let q be (6\/c)\/((-2)\/28). Let d(x) = -2*x - 5. Let g(h) = -9*h - 21. Let a(r) = q*d(r) - 5*g(r). Let k(m) = 2*m**2. Determine k(a(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -36 + 4. Let p = 31 + m. Which is the biggest value? (a) -0.2 (b) -18 (c) 0.1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -11003 + -3?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2.772 and -9640?\nAnswer: 26722.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15864635 is divided by 272.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nlemt. What is prob of picking 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = 0, 0*b - 2*b = 3*y + 12. Let q(t) = 2*t**2 - t - 1. Let j(d) = 2*d**2 - d - 1. Calculate b*q(w) + 5*j(w).\nAnswer: -2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(2\/21)\/g**(1\/15) assuming g is positive.\nAnswer: g**(1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4 and 16520.\nAnswer: 16520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 82455 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = 26 + -16. Let d(c) = -51*c + 404. Let i be d(9). What is the tens digit of i\/2*(-8)\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that -4*f**2 + 22602480*f + 135615024 = 0.\nAnswer: -6, 5650626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*k + 8*k**4 - 6*k - 2*k**4 + 5*k**4 - 4*k**4 + (-4*k**3 + k**3 + 5*k**3)*(-3*k + 2*k + 0*k).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = s**3 - s**2 + s. Let v(d) = 21*d**3 - d + 2. Let z(a) = 4*p(a) - v(a). What is the second derivative of z(n) wrt n?\nAnswer: -102*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.67 + -160.67. Let z = -159.00032 - p. What is z rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*x - 32 + 41. Let a(j) be the first derivative of 358*j**3\/3 + j**2 - j + 1. Is a(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 5*b - 161 = -5*x, -4*x + 2*b + 130 = 0. Let t = -81 + x. Let v = -40 - t. Solve -5 - v = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 638409.6ns?\nAnswer: 0.000000007389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 29 and 66149.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 22 and 10593?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 104 and 417018?\nAnswer: 21684936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 47410 or 46468?\nAnswer: 46468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 346089 divided by 24.\nAnswer: 115363\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes after 10:09 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 79281101.\nAnswer: 6389, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the second derivative of -97*q**5\/4 - q**4\/12 + 181*q**2 - 334*q. Find the third derivative of x(a) wrt a.\nAnswer: -2910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -20.3 - -20.282. Let h = w - -0.017737. What is h rounded to five dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00035352 to six dps.\nAnswer: 0.000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 2, h: 6, x: 9, q: 1}. Give prob of sequence mx.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 6435855 divided by 81?\nAnswer: 79455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3\/4*u**3 - 1\/2*u**2 + 0*u + 3*u**4 + 0 - 7\/4*u**5 = 0. What is u?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -3*(-4)\/(-24)*880\/(-308)*7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4714.\nAnswer: 2, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -52*y + 44*y - 56 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -11 (base 3) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -0*j + 92. Let i = 192 + j. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 8*v - 4 - 4*v**2 - v - v**3 - 3*v. Suppose -114*s + 18 = -108*s. Suppose 0 = s*i, 1 - 16 = 3*l + 5*i. What is u(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 7867\/5 + -23596\/15. Let y(i) be the second derivative of 0*i**2 - s*i**4 - 2\/3*i**3 + 0 - 16*i. Suppose y(o) = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 39394*m**4*w + m**3*w - 4*m**3 - 2*m*w - 31*m + 25*w - 810 wrt m.\nAnswer: 472728*m**2*w + 6*m*w - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 1084*a**2 + 311*a - 5350. Is w(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*p - 22*p**3 + 26*p**3 - 5*p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1859148254 to the power of 1\/2, to the nearest integer?\nAnswer: 43118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 17480 = 21*m. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-17)\/((-102)\/36) - 1\/1. Does 15 divide (-452)\/(-10) - ((-7)\/c)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2856*n + 2850*n + 96. What is the closest to 0.1 in 0, n, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5337.\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (5\/((-95)\/(-57)))\/(10\/(-16)*66\/(-165))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a. Let f(n) = -8*n**2 - 10*n - 5*n - 24*n**2 + 14*n. What is f(j(w))?\nAnswer: -32*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*s - 3*s + 4*s)*(3 - 1 - 3) + 9*s - 10*s - 6*s in the form i*s + v and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*(sqrt(84) + -1*sqrt(84) + sqrt(84)))\/(2*sqrt(432)))**2 - (sqrt(448) + sqrt(448) + -2 + -2 + 2)**2.\nAnswer: -258617\/144 + 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 575970 is divided by 245.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 1100*d. Let t be 3 + (1 + 1)\/1. Let b be k(t). Round b to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + s = -22519998, -2*j + 3*s = -7*j - 28149994. What is j rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 213 by -4.\nAnswer: -213\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 12 = 2*z + 16, -3*r + z + 2 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 25 + -16. Let x(q) = 2*q**2 - k*q + 9*q. Let z(d) be the third derivative of -d**4\/8 - 2*d**2. Calculate x(z(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 146 + -141. Find o, given that -j*o - 9*o - 2*o**2 + 17*o - o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (21\/(-9))\/(2\/(-6)). Suppose 33 + z = 4*i. Calculate the smallest common multiple of ((-9)\/4)\/((-6)\/16) and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9)\/15*5\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 602173 (base 9) to base 13\nAnswer: c5cbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x*x**(1\/14))*x*x**(2\/9))\/(x**16*x**(5\/3)) assuming x is positive.\nAnswer: x**(-2081\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Suppose -2*j + 28 = 4*w, 5*j - j = 3*w + 1. Suppose -4*o + 24 = -2*o. Solve 7 - 3 = -3*r - i, -w*i = -r - o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o\/(o*o*o**(-4)*o))**(3\/32))**(-3\/4))**23 assuming o is positive.\nAnswer: o**(-207\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 742?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -5*a**2 + a. Give s(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c**3 + 17*c**2 - 16*c - 17. Calculate q(16).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**5 - 64*j**4 - 289*j**3 + 354*j**2.\nAnswer: -j**2*(j - 1)*(j + 6)*(j + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -12, 34, 162, 414, 832?\n\"Answer: 7*c**3 - c**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 45226.\nAnswer: 2, 22613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 4*s + s - 9 = 0, -2*i + 18 = 4*s. Let w be (2\/i)\/((-3)\/(-30)). What is the third derivative of x**2 - x**w + x**2 + 2*x**4 wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (0 + 39 + -37 + 12\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + 18 + 8844 + -8832.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u + 5*a - 17, u - a + 5*a = -6. Let b(d) = 13*d - 8. Let y be 6\/15 + 28\/5. Let r be b(y). What is the highest common factor of r and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 2\/45 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -2*j**2 - 4*j + 2. Suppose 2 - 5 = 3*b. Let t be 6 - (4 + -1 + b). Let f(l) = -5*l**2 + 4 - 2 + 4*l**2 - 3*l. What is t*f(w) - 3*g(w)?\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2912\/(-224)*(-31)\/(-124)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 3286, 5492, 7698, 9904, 12110, 14316?\n\"Answer: 2206*m + 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 29\/5 of a millennium?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 5*n = -3*t, t + t - 2*n + 25 = 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 342410.2cm?\nAnswer: 3424102000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -56, -54, -52, -50, -48?\n\"Answer: 2*j - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**(-25)*j)**(-2\/33)*j**(2\/173)\/(j\/((j*((j\/(j**(4\/9)*j))\/j)\/j)\/j*j*j)*j) assuming j is positive.\nAnswer: j**(-17794\/17127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the first derivative of 11*c**3\/3 + c**2 + 2*c + 15. Let p(i) = 0*i**2 + i - 1 + 2 + 0*i + 7*i**2. Suppose -3 = 4*o + 29. Give o*p(w) + 5*r(w).\nAnswer: -w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2370139 is divided by 2862.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3237341ns in seconds?\nAnswer: 0.0000000003237341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(1\/5)\/s**(4\/7))**0\/((s*s**(-5))\/(s**(-5)\/s))**(-14\/15) assuming s is positive.\nAnswer: s**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the second derivative of -d**4\/30 - 16*d**3\/15 - 64*d**2\/5 + d - 8. Solve u(p) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -18, -21, -26, -33, -42, -53, -66?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h**2 + 17*h + 60. Let i be s(-5). Solve l = -5*f + 3, i = 3*f - 2*l + 7*l + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8 + -5. Let r(j) = -h*j - 6 + 6. Let c(b) be the third derivative of -b**5\/15 + 9*b**2. Give c(r(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 6, w: 6}. What is prob of sequence wn?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -10877, 1 in descending order.\nAnswer: 1, -3, -10877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m, 2 p, and 1 o when four letters picked without replacement from rrnoppm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 541*b + 136*b + 1354 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 4604.98 to the nearest 10.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -77, 32, 213, 466, 791?\nAnswer: 1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 217727655 to the power of 1\/4, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -3*x + 6. Let v be f(4). Let n be 6\/9 - (-52)\/v. Let g be 8\/(-21) + n\/28. Is -2 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 11 + -4 + -7 + (3 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/3*(-13)\/598*-2553?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/9 (b) 0.4 (c) 5 (d) -6 (e) -0.25 (f) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 173\/90 and -52\/171.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 287462?\nAnswer: 2, 7, 20533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 5*v - 2*i - 0, -18 = 2*v - 4*i. Let k be (v\/(-2))\/(2\/(-20)). Suppose 4*w + 32 = h, -4*h + 3*h + 5 = k*w. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -49455*s**4 - 10*s**3 - 2*s**2 - 34321*s + 1.\nAnswer: -1186920*s - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1470454163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (36 - 2) + (81 - (-80 - -139))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) be the third derivative of 4*n**2 + 0*n**3 - 1\/420*n**6 + 0 + 0*n - 1\/42*n**4 - 1\/70*n**5. Factor s(a).\nAnswer: -2*a*(a + 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -685685, -685672, -685637, -685568, -685453, -685280?\nAnswer: -685037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -20787, -20782, -20775, -20766, -20755, -20742?\nAnswer: -20727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(88)\/sqrt(2))**2 + 3.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 10530 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = r**2 - 3*r + 4. Let j be k(3). Suppose -j*b + 8 = -4. Suppose 2*w - 6004 = b*y, w + 0*w = 2. What is y rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 295108 times 0.1?\nAnswer: 29510.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -149078672*x**2 + 4*x**3 + 149078672*x**2.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**4\/9 - 122*k**3\/3 - 7442*k**2\/3 - 453962*k\/9.\nAnswer: -2*k*(k + 61)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*b + 7*b = 176. Let j = -40 - b. Suppose 4*s = -0*s. Solve -u - 1 + j = s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in 1, 12.83, 1\/4, 18, -12, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20272699?\nAnswer: 20272699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -994734 by 331578.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:33 AM and 1:23 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**3\/2 - 8*w**2 - 26*w - 24.\nAnswer: -(w + 2)**2*(w + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.02076209 to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 65, 82, 97, 110, 121, 130?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x**2. Let m(j) be the first derivative of 43*j**2 + 3*j - 11. What is c(m(b))?\nAnswer: -7396*b**2 - 516*b - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -641.8644 + -0.1356. Let g = f - -642.12. Which is the closest to 0? (a) -1\/4 (b) g (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -23*q - 388. Let u be o(-17). Let a(i) be the first derivative of -u + 0*i + 1\/5*i**4 + 0*i**2 + 0*i**3 - 2\/25*i**5. Factor a(b).\nAnswer: -2*b**3*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1 - -1 - 7*(-4)\/(-28). Let x be (-3 + (-2 - -3))\/37. Is a < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 25 + (24 - -7) - (14 - 1).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -2*y - 6. Let h be 30\/(-5) + 4 + (-36)\/12. Let b(d) = -d - 3. What is h*b(v) + 3*p(v)?\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 993 is divided by 51?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 5. Let r(n) = -119*n - 425. Let x(u) = r(u) + 85*y(u). Let l(z) = -8*z**2. Calculate l(x(d)).\nAnswer: -113288*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 12356447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-252)\/21 + 111 - -12. What is the highest common factor of 7104 and u?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = k + 46. Let h be k\/(-6)*(2 - -13). Let s = h + -60. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 5, w: 4, s: 3, z: 1, m: 4, y: 1}. Give prob of sequence zyt.\nAnswer: 5\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d + 2 = -2*d - y, -3*d - y = 4. Let q = 2 + d. Solve 3*f + 0*f + 12 = q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 143 - 24?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 8698 divide 549574432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 98829 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.04 and 1075?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:44 PM and 4:21 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 4*b**2 - 12*b + 79. Let y be p(-29). Suppose -541 = -6*c + y. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 42 (base 16) to base 8\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -728295651*x**3 + 728295653*x**3 + 1 - 1.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -24. Let c(y) = -y + 17. Let g(n) = -5*c(n) - 3*w(n). Determine g(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the third derivative of s**4\/24 + s**3 - 7*s**2. Let j = -3780 + 3775. What is p(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhphhhhzpphhhhzzhyp. Give prob of picking 1 y and 1 h.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -2, 24, -1, -15447, 0 in decreasing order.\nAnswer: 24, 5, 0, -1, -2, -15447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r - u + 5 = 0, -9*r + 3*r + 2*u = 34 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 665 - 665.000056. Round f to 6 decimal places.\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -117d (base 15) in base 8?\nAnswer: -7206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1142180.\nAnswer: 2, 5, 13, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) 12\/5 (b) -0.4 (c) 0.2 (d) -0.356\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -42866302*v. Let o(a) = 6*a**2. Determine p(o(f)).\nAnswer: -257197812*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 267 (base 12) to base 8.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -2*z**2 + 14*z - 11. Let x be a(6). Let t be -1 + x\/(-1) + 11. Suppose 4*w - t = -9. Solve w = j - 10 + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the first derivative of -i**3\/3 + 3*i**2 + 3*i + 10. Suppose 5*v = -28 - 27. Let n = v - -16. Calculate q(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.4 + 0.7. Let u = 5 - 5. Let z = u - -5. What is the closest to -0.1 in -1, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 2, r: 1, f: 2}. What is prob of sequence efe?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**3\/7 + 23*p**2\/7 - 110*p\/7 + 136\/7.\nAnswer: -(p - 17)*(p - 4)*(p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -728\/2097?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4)\/(7 - (-3 - -5)). Let j = -4.1 - -5.1. Sort j, -2, s in decreasing order.\nAnswer: j, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -244*z. Let h(k) = 5*k + 16. Let f(q) = -18*q - 60. Let s(d) = -f(d) - 4*h(d). Determine s(b(i)).\nAnswer: 488*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) be the third derivative of -7\/24*t**6 + 0 + 0*t**4 + 21*t**2 + 0*t**5 - 11\/2*t**3 + 0*t. What is the derivative of v(l) wrt l?\nAnswer: -105*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w - 24 + 39. Sort 3, -2, w, -4 in decreasing order.\nAnswer: 3, -2, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 332 minutes before 3:59 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -2*v**2. Let p(l) = l + 8. Let k be p(-9). Let s = k + 3. Let w(t) = t - s*t - 5*t. Give w(r(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -eb44c + -4?\nAnswer: -eb450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 245956 is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -953 + 271. Let p = t + 681.723. Round p to 2 decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -28 - -17. Let k = -7 - j. Let u = k + -4. Are u and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dmme when four letters picked without replacement from {d: 2, m: 2, s: 9, e: 5}?\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) be the second derivative of -281*g**3\/6 - 916*g**2 - 1589*g. What is the first derivative of m(r) wrt r?\nAnswer: -281","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/2 of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*x**2 + x**2 + 5*x**2)*(-8*x - 5*x + x) + (-3*x**2 + 2*x**2 - 11*x**2)*(-8*x + 0*x - 143 + 144 + (3 + 0 - 1)*(x + 3*x - 3*x) + 2*x - 5*x + 2*x).\nAnswer: 60*x**3 - 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6 - -3. Let p be (-2)\/(-18) + (-17)\/((-459)\/78). Let m be (4 + 1 - 3) + p. Sort 4, r, m.\nAnswer: r, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 360449 and 4636?\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 49692, 49695, 49700, 49707?\nAnswer: 49716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -40221234 + 122?\nAnswer: -40221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10043?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(330) + sqrt(330) - sqrt(330))\/sqrt(6))\/(sqrt(5) + sqrt(960)\/sqrt(12)).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -5*w**2 + 2*w - 1. Let v(g) = 14*g**2 + 9*g - 7. Let s(x) = 2*a(x) + v(x). Calculate s(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the third derivative of -h**8\/6720 - h**7\/420 - h**6\/180 - h**5\/120 + h**4\/24 - 3*h**2. Let g(d) be the second derivative of p(d). Give g(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xuazmzu. Give prob of picking 1 m, 1 z, and 2 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/4 - 19\/(-2). What are the prime factors of 216\/20 + 2\/l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 22901506 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify y*y**(-16)\/y*y*y**9*(y**(-1))**(1\/10) assuming y is positive.\nAnswer: y**(-61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 4*n + 18 = -132, 2*q - 43 = -5*n. What is the remainder when q is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 26 - 19 - 880*d + 884*d + d**2 as n + j*d + f*d**2 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 3840\/(-225) - (740\/(-300))\/37 - -154\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 2*u = -1994795, -290428 = -4*x - 2*u + 2369308. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzzzzoozzz. What is prob of picking 1 o and 2 z?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 17 (base 14) to base 6\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -17 - -17517*22\/33 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 - d3b2c6?\nAnswer: -d3b2c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5 (b) -0.12 (c) -708 (d) -0.2 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 155 - -59. Let h = k + -231.6. Round h to zero dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((2 - 8) + 4)*-2. Which is the closest to 1? (a) -4 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(171) + 1)*4)**2 + (sqrt(114)\/(sqrt(36)\/(sqrt(6)*1 + sqrt(6))))**2.\nAnswer: 96*sqrt(19) + 2828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1229227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 27*s - 44*s + 34 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*v + 147 = -9*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, -3\/2, 1.31778 in ascending order.\nAnswer: -3\/2, 0.3, 1.31778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g - 2*g + 36. Let r be 8\/g*18\/4. Let u(k) = -2*k**3 + 4 + 6*k**3 + 4*k**2 - 5*k**3. Calculate u(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*o - 4*p + 6, 6*o - 2*o + 2*p - 16 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 50, 67, 82, 95, 106, 115?\n\"Answer: -b**2 + 20*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -239*u**2*v**3 - 7*u**2*v**2 + 25*u*v**2 wrt v.\nAnswer: -1434*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2591365.\nAnswer: 5, 7, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/7, 56, -4, 0.03, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) + 1)*4 + -5.\nAnswer: -1 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 72115337 a multiple of 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*d - 9*d. Suppose d = o + 4*o. Let k = 6 + -2. Solve 4*g = -k - o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 10 - 8. Suppose -h = -3*x + 83, k*x + 2*x - 109 = h. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from povdoohppdphpdpo. What is prob of picking 1 o and 1 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sum -6218615 and -0.752761.\nAnswer: -6218615.752761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - (35 - (8 + 11))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-1450)\/435*(-9)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.01 + 0.21. Let n = m - -0.3. Let b = 0.8 + -0.5. What is the nearest to 1\/2 in b, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:43 AM and 2:59 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*(v**(5\/3)*v)\/v)\/(v\/(v*v*v**(3\/4))))**4*((v**4\/v)\/(v**(-1\/6)*v))**44 assuming v is positive.\nAnswer: v**113","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = -37732042.5999918 + 37732034. Let x = -8.6 - r. What is x rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.08 (b) 0.02 (c) -1301529\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:53 AM and 2:39 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 21.4 + -0.2?\nAnswer: 21.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 101016 divided by 184?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 9\/2 or 4?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -65, 5, 1 in ascending order.\nAnswer: -65, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**3 + 15*i**2 + 2*i - 24. Let s be y(15). Solve -2*w = -0*w + s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 2*z - 2 - 92*z**2 + 3 + 91*z**2 - 2*z - 2*z. Let q = -1 - -2. Let j(k) = -4*k + 1. Let m be j(q). What is x(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7773 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 81 divided by -8?\nAnswer: -81\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -56.76, 0.0102, 1, 0.4 in ascending order.\nAnswer: -56.76, 0.0102, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -55 - 745*n + 53 + 60*n - 2981*n.\nAnswer: -3666*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 487 is divided by 174.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 2 c when three letters picked without replacement from pppcncctnstttntcnptp?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let 15\/2*n**5 - 25\/2*n**4 - 5*n + 25\/2*n**2 + 0 - 5\/2*n**3 = 0. What is n?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:47 PM and 2:24 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.3 and 3089.\nAnswer: 926.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = -43.26 - -41.129. Let f = g + -0.119. What is f rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 1 = -5. Suppose 0 = -3*c + 4 + w. Suppose c*m + m + 2*b + 11 = 0, b + 7 = -3*m. Sort m, 1, -3.\nAnswer: -3, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 43, 146, 319, 562?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*f + 54*f - 52011 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -66*n + 24*n + 504. Calculate the remainder when 18 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 17*j - 44. Let s(l) = 12*l - 29. Calculate 8*s(x) - 5*z(x).\nAnswer: 11*x - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 619718627309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = 55\/3 - 19. Which is the second smallest value? (a) -4 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**3 + 27*b**2 - 372*b - 1492. Calculate u(-36).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r be -5*((-8)\/(-80))\/(26\/(-8)). Let f = -0.21979 + 0.11979. What is the closest to 2\/3 in -16, r, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10 divided by 1797705?\nAnswer: 2\/359541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 46580*z**2 + 17420935*z + 5610.\nAnswer: 5*(z + 374)*(9316*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4a5740 - -100?\nAnswer: -4a5640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -347*x - 2. Let i be t(-2). Suppose 2*r - 3*m = -522 - 165, -4*m = -2*r - i. Let f = -121 - r. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: dc (base 15) to base 6\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 25 and 18025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 6396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2539023 + 1252223. What is r rounded to the nearest 10000?\nAnswer: -1290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -17.4 in 0.15, 1\/6, 4\/21, -2\/7, -2\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 = 5*y - w, 12*y - 4*w - 17 + 18 = -47 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23632?\nAnswer: 2, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*l**3 - 103504790*l**2 - 1040674317*l?\nAnswer: 12*l - 207009580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) be the first derivative of -g**2 - 6*g + 1. Let n = 5 + -10. Let f be o(n). Solve -2*z + f*z = -4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -34911, -69809, -104697, -139575?\n\"Answer: 5*z**2 - 34913*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 2 and -0.38134.\nAnswer: -0.76268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that 2*o**3\/5 - 1524*o**2\/5 + 288792*o\/5 + 583696\/5 = 0.\nAnswer: -2, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -2683, 8\/9, 0.06.\nAnswer: -2683, 0.06, 8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u**3 + 7*u**2 + 29*u + 48. What is x(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -x + 14*x + x as u*x + z and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -2*a + 2. Let v(c) = -1. Let t(n) = -m(n) + 4*v(n). Let u be t(5). Solve 6 = 5*b + q, -3*q - 5 = -u*b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -x**3 + 7*x**2 - 4*x - 9. Let m be h(6). Solve m*a = 2*j + 6, -2*j = -3*a - 3*j + 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 915, 1836, 2753, 3666?\n\"Answer: -2*s**2 + 927*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000089 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/3 (c) 3\/137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.125, -1981, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -10*(6\/(-840))\/(-10*21\/(-560))\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 5*o + 37. Let i be x(4). Suppose -11*p + i + 20 = 0. Suppose -24 = w - p*w. Solve 5*q + 4*c + 10 = 0, w*q - 7*q - 6 = -4*c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 77\/5 + (-6)\/15. Suppose -2*r + f = -5*w - 3, 2*w + 5 = 3*r. Suppose 3*q = -q. Sort -3, q, w in decreasing order.\nAnswer: q, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 12 + -13. Let j be o\/(-2)*(-6 + 92). Suppose 5*n = a + 3*a + 89, -3*n + j = -5*a. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gdfg when four letters picked without replacement from gdppgddfdg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 927659442 a multiple of 7386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -25*w - 2586. Calculate the remainder when 1955 is divided by c(-107).\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 535 and 749?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 8 = -5*n. Let w(b) = b**2 - 3. Let j(y) = -6*y**2 - 10*y + 20. Let a(u) = j(u) + 5*w(u). Does 19 divide a(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*g - 7*g + 18*g - 26*g**2.\nAnswer: -26*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the first derivative of -j**4\/12 - j**3\/2 - 2*j**2 - j - 7. Let i(q) be the first derivative of g(q). What is i(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (37\/(15540\/(-126)))\/(3\/(-16))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = -5*f + 12, -2*f + 12*z = 7*z - 18. Suppose -164 - f = -7*w. What is the highest common factor of w and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t. Let g(p) = -4*p + 15. Let h(a) = -3*f(a) + g(a). Suppose 4 = -4*q, 32*q = 5*j + 37*q - 45. Calculate h(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4156?\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 2342895264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*j - 109*j + 24*j + 2241468 = 0. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -546.32 at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 3, g: 9}. What is prob of picking 1 g and 2 i?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (sqrt(252)*1 - sqrt(252)) + sqrt(252) + -4 + (sqrt(252) - sqrt(252)*-2) + sqrt(252) + 2*sqrt(252)*4 + 1 + -1)**2.\nAnswer: -936*sqrt(7) + 42624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 2*m**2 + 2*m + 59. Let c be d(-7). Let o = -201 + c. Let t = -63 - o. Let n(a) = a**2 + 5*a. Determine n(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 2*n = -6*n - 52, -2*h + 3*n = 1. Let t = -4 - -3.8. Sort 3, h, t in ascending order.\nAnswer: h, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 12*p**4 + 6*p**4 + 9*p**4 + (3 + 2 - 2)*(-p**4 + p**4 + p**4).\nAnswer: 30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1007060 divided by 5.\nAnswer: -201412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(1\/53)\/(t*t**17))\/(t*(t*t*t**(-3\/22)*t*t)\/t*t*t**(-29)\/t*t*t))**(-19) assuming t is positive.\nAnswer: t**(-114209\/1166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = 5*z + 30. Which is smaller: -27\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 58*v**2 - 891 - 62*v**2 + 890. Let i(g) = -76 - 79 + 3*g**2 + 155. Give o(i(d)).\nAnswer: -36*d**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.03 in 0.089, 0.2, -3?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 628827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0 + 4. Suppose -5*s + 15 = -v*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 6450 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 14) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*3*sqrt(24))\/(sqrt(12) - 3*sqrt(12)*6).\nAnswer: -6*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6\/7 in 2\/3, 0.3, 4, -131?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10 - (-325)\/26)*(-1638)\/105?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -828368 divided by -203\nAnswer: 828368\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w\/(w\/w**3)))\/w*w*w**13*w)**(-2) assuming w is positive.\nAnswer: w**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 47*b**3*d - 3*b**3 - 7*b**2*d - 42*b*d wrt b?\nAnswer: 282*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 374 + -23?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is e - -d?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(77) - -2*sqrt(77)*6)\/(sqrt(110)\/sqrt(40) + sqrt(11)))**2.\nAnswer: 4732\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in -0.2, 1\/6, 6, -2\/189, -113?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -75*53\/(-3975)*(-28)\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -14*m**2 - 24*m**2 - 28*m**2 + (-4 + 2*m + 4)*(6*m - 9*m + 20*m) as x*m**2 + u + j*m and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/6 (b) 4 (c) 0.4 (d) 6\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*g = 139 + 57. Let y = g + 30. Which is the closest to -1? (a) 6 (b) y (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {z: 5, d: 3, r: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6*m**4*s + 4*m**4 + 5*m**2 + 3*m*s wrt m?\nAnswer: 144*m*s + 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3822*c**2*u**3 + 530*c**2*u**2 - c**2 + 2*c*u**6 + 4*c wrt u.\nAnswer: 22932*c**2 + 240*c*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 12 - 20. Let m = -8 - d. Determine v, given that 0 + m*v + 2\/5*v**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 0.8229 (c) -415 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 354810000 to the nearest one million.\nAnswer: 355000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -1940*f + 65 - 20 - 45 as o + t*f and give t.\nAnswer: -1940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + (13 + (0 - 17) - 13).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 24 = -32*j + 29*j, -5*j + 20 = 0. Solve -24 = 3*o - 3*c, -3*o + 2*o - 2*c = -l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (64\/14)\/(((-4)\/(-18))\/((-770)\/(-61380)) + -18).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/2 in -1, 2\/3, 0.17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -36510*r**3*w + 4955*r**3 + r**2*w - 101988310*r**2 wrt r?\nAnswer: -219060*w + 29730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2164\/5410)\/(9\/15*-9)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -3*h - 45. Let i be z(-16). Let v(q) = 3*q**2 + 2*q - 6. Let g(j) = -j**3 + j**2 - 1. Let u(c) = -5*g(c) + v(c). Let l be u(1). Is l less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = 6*i + 50. Let z be (-1)\/3*(-6)\/i. Which is the smallest value? (a) 1\/9 (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 2*v + 10 = 2, 3*v = -12. Solve -4*d - 20 = -4*x, 3 = -g*d - d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 45 + -34. Suppose -3*i - y = -23. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**2\/7 + 100928*i\/7 - 2546615296\/7.\nAnswer: -(i - 50464)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -846*r**3 - 2 + 2 + r**2 + 15*r + 872*r**3 wrt r?\nAnswer: 156*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17211237?\nAnswer: 3, 1163, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s - 19 = -5*j + 4*s, -j - 4*s = 1. Suppose j*u = u. Let n be u + ((-16)\/10)\/(-2). What is the nearest to -1\/3 in -0.5, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 2*l - 72 = -3*n, 3*l + 6 = 0. Let t = 24.7 - 24.6664. Let z = 5.0336 - t. Which is the second biggest value? (a) n (b) 0.2 (c) -1\/3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 235.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -28, -42, -72, -124, -204?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 2040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -1490*x + 1. Suppose 0 = -2*q - 2*q + 4. Let j be n(q). Let k = j - -5915\/4. What is the common denominator of k and 15\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 114097132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 239007884, 478015768, 717023652?\nAnswer: 956031536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 435375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 59082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*a - 2 - 4. Suppose -4*i - 2*y = -66, 0 = i - 4*y + a + 4. Calculate the least common multiple of 4 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6771 and 333?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u + 104 = 109. Let d(k) be the first derivative of u + 5\/2*k**2 + 6*k. Differentiate d(y) wrt y.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f = i + 141, 23937*f - 23939*f = 2*i - 66 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-1 - 31) + -148 + 392 + -168\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n**2 + n. Let o(q) be the third derivative of -q**5\/20 + q**4\/24 - 48*q**2 - 10*q. Calculate -4*a(u) - 2*o(u).\nAnswer: 2*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 1 (b) -118\/7 (c) 10 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-242)\/(-33))\/(-11))\/(3\/(3\/2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -87*n = -92*n + 5*j + 40, -2*n - 3*j - 9 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -22 + -21?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 - 1 = -3*q. What is the first derivative of -v + 7 - q*v - 5*v + 2 wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 19587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 4054417787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzzzzzzzssz.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1518*v + 1386 = 1529*v. Calculate the greatest common divisor of 90 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0024227112 to 5 decimal places.\nAnswer: 0.00242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x**2 - 6929*x - 69173. Determine g(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.216971ml?\nAnswer: 0.000216971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 5*i - 15135 - 24118 = 0, 19630 = y + 2*i. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 14300454 and 383.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 23 + 25 + 32 + 2959*z - 79 to n*z + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 429 - 377. Suppose s - 245 = 6*s. Let b = n + s. Solve 0 = h + b - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -9.88 + 10. Let v = 2.88 + k. Which is the closest to -1\/4? (a) -4\/5 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**3 - 3*j**2 - 2*j. Let d be u(-2). Suppose d = 3*g - 8*g + 45. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-3)\/f*f)\/(f**2\/f))\/(f*f\/(f**(2\/21)\/f)*f*f*f*f\/f**0) assuming f is positive.\nAnswer: f**(-229\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the third derivative of 0 - 1\/24*b**4 + 1\/6*b**3 + 0*b + 11*b**2. Give c(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -15, -4, 8, 824 in decreasing order.\nAnswer: 824, 8, -3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the third derivative of w**5\/30 + w**4\/24 - 2*w**3\/3 - 4*w**2. Calculate the lowest common multiple of ((-4)\/(-1) - 1)*3 and c(-3).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + (-12 + 6 - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 875\/9 - 98. Let n = 15625\/6 + -2610. What is the common denominator of n and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 22 and 89535798.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 98 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5937?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be 73068\/24*(26 + -6). Round y to the nearest one thousand.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from bbbbbvbbvgbbivbggv.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 2 = -2*j - 5, 0 = d + 4*j + 3. Let o(u) = u**2 + 5*u + 2. Let a be o(-5). Let g(r) = -r**2 + 4*r + r**a + r**2 - d. Give g(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 2, x: 5}. What is prob of sequence ww?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 62 divide 7569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -b9 + a?\nAnswer: -ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -23bb + -3?\nAnswer: -2402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -9.9 + 10. Let a = 2.9 - 4. Let r = a + i. What is the nearest to r in -2\/19, -5\/4, 3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m + u = -7, 5*m + 14 = 2*u + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -108822, -217663, -326504, -435345?\n\"Answer: -108841*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**1*j)**(-5\/19)*j**(-1\/4)*j*j**(2\/7))\/((j*j*j**(2\/7)*j)**(-5\/2)*(j**(-1\/4))**(3\/35)) assuming j is positive.\nAnswer: j**(11631\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the first derivative of -c**2 - 17*c + 3. Let g(l) = 7*l - 16. Let i(k) = 3*k - 8. Let z(y) = 4*g(y) - 9*i(y). Give -6*r(q) - 13*z(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -4+-332624927\nAnswer: -332624931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the first derivative of 2\/23*w**3 - 2\/115*w**5 + 2\/23*w**2 + 0*w + 5 + 0*w**4. Factor h(o).\nAnswer: -2*o*(o - 2)*(o + 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 73, 1 in descending order.\nAnswer: 73, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = 33697 + -33714.237. What is n rounded to zero dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 61\/1852368 and -41\/444.\nAnswer: 1852368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1174509673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Is -1548 at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/((i\/((i**(-8\/5)\/i)\/i))\/i))\/(i\/(i\/(i*i**(-1\/28))))*(i\/(i\/i**0)*i)**(-17) assuming i is positive.\nAnswer: i**(-2879\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5221 - -5264. Calculate the remainder when 5200 is divided by d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*h*x**3 + 202*h*x - 24912*x**6 + 133*x**2 wrt x?\nAnswer: -12*h - 2989440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 2*b + 1)*(30*b - 3*b**3 + b**2 - 34*b + b**2) in the form m + d*b**3 + i*b**2 + k*b + t*b**4 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -1\/3, -2\/3, -0.0378, 0?\nAnswer: -0.0378","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -103 - (14025 - 14111)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 95 a factor of 716140327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 33489 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5968.00005318 - -5968. Round f to six dps.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 1186850 = c, -2*f + 4*f + 3*c = 1186854. Let z = -348830 + f. Suppose -z = 10*n - 14594. What is n rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 63 + -61. Find the first derivative of 51*h + 6*h**y + 40 - 94*h + 43*h wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (120\/(-7))\/(6\/(-42)). Suppose 6*d - 76 = 86. Let b = -12 + d. What is the greatest common divisor of g and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-6 + 8)*(45\/(-6))\/(-5). Let v(d) be the second derivative of -l*d - 1\/2*d**2 + 0*d**3 + 1\/12*d**4 + 0. Find the first derivative of v(f) wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1961*w - 973*w - 1028*w + 3400 for w.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 204341, 204343, 204345, 204347?\nAnswer: 204349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -2 - 4. Calculate the remainder when k*(29\/(-3) - -3) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47415*w**2 + 53774*w**2 - 162749*w**2.\nAnswer: -156390*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 3, 1\/7, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 149754743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*z - 1141 + 1663. Let n be (-1 - -315) + (1 - 0). Let g = n + z. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1110*c - 217*c - 223*c - 217*c - 227*c - 221*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 14282467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Product of 26834 and 0.5.\nAnswer: 13417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 57\/8 (b) -0.019 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 7*n**2 - 80*n + 117. Give u(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*r + 176*r + 34*r + 5373 + 4239 = 0 for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4.69631966477 + 3.\nAnswer: 7.69631966477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -9*y**2 + 3*y - 1. Calculate d(3).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2647*j + 2647*j + 0*j**3 + j**3 + 0*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6767 - 6684. Solve -34*b - g - 121 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z**3\/4 - 11619*z**2\/2 - 15000129*z - 12910111026 = 0. What is z?\nAnswer: -2582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -914*o**6*z - 2*o**5*z + 10*o**2*z - 7*o - z wrt o.\nAnswer: -109680*o**3*z - 120*o**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z. Let j(l) = -5 - 3 + 5 - 3*l + 2*l**2. Let k(m) = 3*m**2 - 4*m - 4. Suppose 6 = 5*n - 9. Let d(r) = n*k(r) - 4*j(r). Give u(d(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 54061, 108108, 162155?\nAnswer: 216202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 48*w - 14*w + 16*w - 3 + 4.\nAnswer: 50*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 38.5 + -38. Sort -4, 3\/5, n in decreasing order.\nAnswer: 3\/5, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 486.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -6 + p + 6 + (2 + 0 + 0)*(p - 5 + 5) - p - 3*p + 12*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 3, o: 4, c: 13}. What is prob of sequence cwow?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 108 + (-21 - -6) + -50?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -0.2, -11\/4, 0, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00075340213 to five decimal places.\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 89455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-14 - 2) + (56 + -11 - 23).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -69*m**3 - 211281*m**2 - 161742495*m - 7031883.\nAnswer: -3*(m + 1531)**2*(23*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is p in 4900*p**4 - 256706660*p**3 + 29337856*p**2 - 838224*p = 0?\nAnswer: 0, 2\/35, 52389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 3221 (base 6) in base 7?\nAnswer: 2065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11 + -2221130103?\nAnswer: -2221130120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -22, 5\/17, -0.1, -0.4, -3\/2, -1.35?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from npnpnninninnnpnxppnx.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the second derivative of -1\/6*w**4 + 8*w**2 + 7\/3*w**3 + 0 - 64*w. Factor i(u).\nAnswer: -2*(u - 8)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6701867*j**4 + 2*j**2 - 35161861*j.\nAnswer: -80422404*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1262 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 - -4. Let a = y - 2. Let n be 1 + -3 - 24\/(-15). Is a less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 209801219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-5)\/35 + 492\/14. Suppose 5*t - 3*d = x, 5*d + 31 = 3*t - 6. Solve -2 - t = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22308.4951 rounded to the nearest 100?\nAnswer: -22300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/(n\/n**(-1\/2))*n)**20)**(-5\/7)*((n**(-2\/5)\/n*n)\/n**(-8))**28 assuming n is positive.\nAnswer: n**(7198\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 + -38 - (-1276)\/33)*(-279)\/(-2).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 3*f - 17. Let z(l) = -9*l + 51. What is -17*n(i) - 6*z(i)?\nAnswer: 3*i - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1 + 4. Let q = -3 - o. Suppose c + r = -4*c + 3, -2*c - 4*r = 6. Sort 2, c, q in descending order.\nAnswer: 2, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53742\/29 bigger than 1853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -1.720034015253 + 1\nAnswer: -0.720034015253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 22)*(2 - 2 + 7)*(5*m**5 - m**5 + 5*m**5 + (m**3 - 2*m**3 - m**3)*(-2*m**2 - 1 + 1)).\nAnswer: 2002*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (4*(sqrt(320) + 5 + sqrt(320)))**2.\nAnswer: 2560*sqrt(5) + 20885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53*q + 44*q + 16524 = 0. Calculate the highest common factor of 68 and q.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 4, -6\/259, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 1)*(-2 + i**3 + 2) + 5*i**3 + i**3 - 4*i**3 + 2*i**3 + 0*i**3 + 6*i**3 + (3 - 3 - 2)*(-7*i**3 - 9*i**3 + 7*i**3) + 0 + 0 + 2*i**3.\nAnswer: 31*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8356 is divided by 157.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 72000 = -2*g. Round g to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*p + 49500 = 15*p. Suppose g = 11*g - p. What is the common denominator of g\/72 - 1\/(-3) and 13\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find d such that 2*d**3\/3 + 22*d**2 - 756*d = 0.\nAnswer: -54, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -159*f**2 + 164*f**2 - 7*f + 7*f.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2444432 to the power of 1\/2, to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**2 + 13*d - 36. Let a be w(4). Do a and -12\/31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 187 + -185. Solve 2*c + q = -2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tl when two letters picked without replacement from {p: 1, t: 1, v: 1, h: 1, l: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c**2 + 5*c + 13. Let f be b(-3). Suppose l = 3*h - 73, 3*l + f + 5 = 0. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the first derivative of 120*g**2 + 111*g - 13. Is 63 a factor of y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1119349 millilitres to litres.\nAnswer: 0.0001119349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 4*o + 7. Let l(w) = 13*w + 20. Suppose 8*x - 5*b + 113 = 0, 0 = -20*x + 24*x - 5*b + 69. Give x*r(z) + 4*l(z).\nAnswer: 8*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 8716239 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*c + 34*c = 31*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 38*a**3 + 6*a - 314 wrt a?\nAnswer: 114*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-48)\/1431 + (-4)\/(-18). Let y = u + -1849\/530. Calculate the common denominator of (585\/(-273))\/(-1 - 0) and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.4, 143, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**1)**(1\/4))**27*((q**(1\/4)*q*q*q*q*q)**(-3\/8))**6 assuming q is positive.\nAnswer: q**(-81\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 89528347 is divided by 13763.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 7 - 3 - 1298*m + 2727*m.\nAnswer: 1429*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -720*v - 51. Let f be q(-5). Suppose -893 + f = 8*n. Suppose n = -3*p + 7*p. What are the prime factors of p?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 86128851 is divided by 4503.\nAnswer: 4473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = p**2 + 4*p + 16. What are the prime factors of j(7)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -m, 0 = -r - 5*m - 6 + 23. Suppose -11 = -3*b + r*x, x + 4*x + 5 = 0. Solve b*n - 2*p - 12 = 0, -5*p = 3*n - 13 + 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes before 2:06 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 10212111012 (base 3) to base 13.\nAnswer: 28895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -316659530 + -65172.\nAnswer: -316724702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -21 + 23. Factor -2\/9*i**r - 8\/9 - 10\/9*i.\nAnswer: -2*(i + 1)*(i + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8937524.\nAnswer: 2, 19, 23, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5 - -2. Let u = -14 + 15. Sort -2, l, u in descending order.\nAnswer: l, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -12.833 + 10.833. Sort p, -7, -5, -2\/5, -1.5.\nAnswer: -7, -5, p, -1.5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 24 and (-5)\/2*-2 - -91.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r and 1 x when three letters picked without replacement from xsxmrr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4294 is divided by 227.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the third derivative of -g**7\/105 + g**6\/6 - 2*g**2 + 1126*g. Factor p(s).\nAnswer: -2*s**3*(s - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(30) - sqrt(480)*-1 - sqrt(270)*1)\/(sqrt(24)\/sqrt(4)*4*5).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(42)\/(-1*sqrt(6))*6.\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -3242184938849 - -3.\nAnswer: -3242184938846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -0.1, 13, -3, 50\/9, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 - -23) + (8 - 41) + 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*y + 673 - 51137 = 0. Calculate the highest common factor of y and 747.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 52\/3 and -38\/29?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 165960 plus 7430.11?\nAnswer: 173390.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 248 - 159. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -19*g**4 - 82*g**3 + 191*g**2 - 148*g + 16. Let c(u) = -14*u**4 - 55*u**3 + 128*u**2 - 99*u + 10. Let k(d) = 7*c(d) - 5*i(d). What is p in k(p) = 0?\nAnswer: 1\/3, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1004 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d = 4*k - 13, 4*d + 0*k + 367 - 384 = -k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the third derivative of q**4\/24 - q**3\/6 + 4*q**2 + 13*q. Calculate r(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 0, 1\/2, 0.043, 3 in descending order.\nAnswer: 3, 1\/2, 0.1, 0.043, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y, 2 c, and 1 f when four letters picked without replacement from {b: 1, r: 4, h: 2, y: 4, c: 2, f: 1}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3311674 + -3?\nAnswer: -3311677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 70*u**4 - 265*u**4 + 92*u**4 + (2*u**3 + 3*u**2 - 3*u**2)*(-2*u - u + 0*u).\nAnswer: -109*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -468*x - 1980 = -471*x. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1276049371 rounded to the nearest 100000?\nAnswer: -1276000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = -276.49377666 + 272.093775. Let l = m + 4.4. Round l to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1.6, 13, 1\/7?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 5, 54.2, 354\/5 in descending order.\nAnswer: 354\/5, 54.2, 5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -359601, -2, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = q - 2. Let z(w) = 2 + 2 - 4 + 1. Let d(l) = 2*u(l) + 4*z(l). Let k(c) = 2*c. Calculate d(k(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.9842895 nanoseconds to minutes.\nAnswer: 0.000000000016404825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.02 + 0.62. What is the nearest to x in -0.4, 2, -2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7384898?\nAnswer: 2, 3692449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-2)\/(-148)*-1)\/(5\/20). Let a = 57.025 + -0.025. Let w = -56.7 + a. Which is greater: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 62 = -2*p - 0*p, -p + h = -34. Solve p = 2*n - 5*n + 4*v, -2*n - 5*v + 17 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 60 - 57. Solve b + 6 = z*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 122110102022 (base 3) to base 16.\nAnswer: 53e70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 6*i**5 - 30*i**4 + 28*i**3 - 4*i**2. Let u(b) = -5*b**5 + 29*b**4 - 29*b**3 + 3*b**2. Let m(g) = -3*k(g) - 2*u(g). Factor m(h).\nAnswer: -2*h**2*(h - 3)*(2*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3131373376 a multiple of 14004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3\/(6 + -3) + 1*-1. Let v(c) = -c**3 - c**2 + c + 11. Give v(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1068602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 322294706 is divided by 1298.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -3*t + 2. Let b(m) = 265 - 139 - 127. Give 4*b(h) + n(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 85910000 = -6*r + 17*r. What is r rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (5*-3)\/(120 + -125). Solve 140 - 149 = -o*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -215*g**4*w**3 + 230*g**4 + 2*g**3*p - 2*g**2*w - 4*g**2 + 9*g*p*w**3 + 2*g*p - 27*p wrt g.\nAnswer: -5160*g*w**3 + 5520*g + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 8464 - 11507 = 0. Is -3*(-6 - n\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000007043419 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/(-9)*(-1910 + 17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43 = -2*l - 2*w + 7*w, -2*l + 33 = -3*w. Solve 2*c - 2*v = -16, 2*v = -3*c - 0*c - l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 323419216 divided by -1.\nAnswer: -323419216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 122 - 314 = -32*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 206766065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -16.02 - -16.62. Suppose -i = -5*i - 8. Which is the closest to -2? (a) x (b) -2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1789 (base 13) to base 16\nAnswer: da5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 0.2, 262, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 12132344 a multiple of 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -56 + 178. What is the remainder when l is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 4*i = 1504, 2*a - 740 = 6*i - 5*i. Let b = -74 + a. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -106*g**2 + 33*g**2 + 33*g**2 + 11*g**2 + 25*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s + 1. Let r(y) be the first derivative of -3*y**2 - y + 1. Let n(a) = -2*m(a) - r(a). Let d be 84\/(-56) + ((-1)\/2 - -1). Calculate n(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 6*a + 3. Let f(z) be the second derivative of 1\/6*z**3 - 3*z + 12 + 1\/2*z**2. Determine -3*f(t) + m(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 48 and 22017648.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = 19 - 55. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*(sqrt(2940)*3 + sqrt(2940) - sqrt(2940))*6)\/(-1*sqrt(60)\/sqrt(5) - sqrt(36)\/sqrt(3)*6))**2.\nAnswer: 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the second derivative of z**3\/3 - 2*z**2 + 15*z. Let d be n(0). Calculate the remainder when 27 is divided by 54\/15 + d\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j**2 + 74*j - 575. What is the lowest common multiple of 40 and f(-104)?\nAnswer: 20360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 645408.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -p**3 + 2*p**2 - p + 1. Let k(y) = y**3 - 4*y**2 + 73*y - 4. Give -2*h(v) - k(v).\nAnswer: v**3 - 71*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 13*x + 20. What is the least common multiple of 1 + 10*(1 - 0) and z(2)?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -312585 divided by -15?\nAnswer: 20839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 48979 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 1012137 divided by 337379\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 255624516 by 6.\nAnswer: 42604086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2011451999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 51784 is divided by 8517?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3329145*q*r**3 - 19270*q*r + 126*r**2 wrt r?\nAnswer: 19974870*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.083261667 and -935.65.\nAnswer: -935.566738333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -51407 + 51407 - 155*u**2.\nAnswer: -155*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 11 (base 16) to base 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 12 or 1804\/167?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = 5*n - 1874, -2*t - 1138 = -3*n - 6*t. Let d = n - 343. What is the remainder when 243 is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1339*q + 70919 - 2215 + 32577 = 856 for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 213536747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 2*f**2 + 2*f + 1. Let z(a) = -2*a**2 - a - 1. Determine -5*r(y) - 6*z(y).\nAnswer: 2*y**2 - 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1075917554 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 2*p**2 - 5)*(0 + p**3 + 0) - p**5 + 2*p**5 - 5*p**5 + 35*p**5 + 47*p**2 - p**3 - 47*p**2 - p**4.\nAnswer: 33*p**5 - p**4 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 4, g: 1, w: 4, k: 6}. What is prob of picking 4 w?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7048 - -8741. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -187308 divided by -20812.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1 and -0.117?\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 365437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 18 and 846.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 387.1 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/99 (b) -0.5 (c) -1 (d) -5 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f**2 + f - 1. Let r be m(-2). Suppose -3*g + 4 = 5*p + 21, -4*p = 16. Let j be 4\/(g + 0 - -1). Is r less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-140)\/(-6))\/((-16280)\/2442)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t**2 + 5*t + 26. Suppose k + 2*n = -2*k + 8, 5*k = -4*n + 16. What is the remainder when f(k) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 103543 + -11204?\nAnswer: 52335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lbq when three letters picked without replacement from {l: 1, b: 5, u: 1, q: 2, n: 3}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -366, -382, -394, -396, -382, -346?\n\"Answer: x**3 - 4*x**2 - 11*x - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 5*i + 30 = 0, 2*i + 3 = a - 0. Suppose 4*t + 10 = 2*n, -5*n - 2*t + 54 + 31 = 0. Let h = a + n. Calculate the remainder when 37 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 180, 2, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5 + -5. Let c be 1*-2*(-5)\/2. Suppose -2*l - 6 = -c*l. Put l, -1\/4, o in ascending order.\nAnswer: -1\/4, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a = -5*m - 50, -4*a = 121*m - 116*m - 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**3 - 5*d**2 + 3*d - 4. Let z be m(-6). Let p = z + -7. Calculate the remainder when 12 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -z. Let r(k) = -4*k + 3. Let j be (-10)\/(-4) - 2\/4. Let o(q) = j*n(q) - r(q). Calculate o(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 483\/(-105) + 2\/(-5) - -486?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3519*l + 7243?\nAnswer: 3519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 1 = p, -2*a - 4*p = -176. Suppose 4*r = -2*j - 92, -4*r + j - a = -0*j. Let n = r + 11. What is n rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -z**3 + 13 - 3 - 36.\nAnswer: -z**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -103213235 (base 7) to base 16.\nAnswer: -5deaa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that -z**4\/2 + 26*z**3 + 110*z**2 + 112*z = 0.\nAnswer: -2, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 459612 to the power of 1\/2, to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 528 and 480.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2791 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 692 divide 41518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -2*z**2 - 16*z - 1. Let f be y(-8). What are the prime factors of f\/(-2) + (-267)\/(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-17))**(-7\/13)*o**(-4\/11)\/(o*o**(-16)\/o) assuming o is positive.\nAnswer: o**(3545\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -14 + (1 - -12) + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 6089318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jee when three letters picked without replacement from eijeeej?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -163, -0.07, -1\/5, -1\/25, 10, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 100 + -95. Suppose -x*i + 17 = -3. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(4*1*sqrt(77) - (sqrt(77) - ((sqrt(77) - 1*sqrt(77)*4) + sqrt(77)))))\/(-3*(sqrt(1008) + sqrt(1008)*2 + sqrt(1008))*-5).\nAnswer: sqrt(11)\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 111324 rounded to the nearest 1000?\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -8 + 63 + -32 + -24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(6897) + sqrt(6897)*-2)\/(sqrt(825)\/sqrt(11)))**2.\nAnswer: 2299\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1570607 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38 + 75 + 38 + 86 - v**3.\nAnswer: -v**3 + 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -28, -47, -62, -73, -80, -83, -82?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -354\/1837513 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13 - 7 - 1)*(99*q**3 + 5278 - 5278) + 2*q**2 - 2*q**3 - 2*q**2 + q**3 + 2*q**3 - 2*q**3.\nAnswer: -2080*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = 10 + 8. Let w(u) = -u + 8. Let c be w(q). Calculate the remainder when c\/(-3) - (-348)\/9 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p**2 - 7*p - 3. Let i be h(8). Suppose 32 = o - 4*g - 173, i*o + 3*g = 933. What is the highest common factor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(2*sqrt(1368))\/((sqrt(8)\/sqrt(4) + sqrt(2))*5)*-6)**2.\nAnswer: 886464\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 5*c - 5*h - 17, 4 = -h. Suppose -3*z + 70 - c = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -1649*m**2 + 442*m + 221. Let b(w) = 15*w**2 - 4*w - 2. Let d(a) = -663*b(a) - 6*h(a). Let q(u) = -4*u**2. Determine d(q(j)).\nAnswer: -816*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -305441195 - 7.\nAnswer: -305441202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/18*((-323)\/34 - -8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 1, j: 8, d: 6}. What is prob of picking 1 f and 3 d?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**3 + 6*l**2. Let b be t(6). Suppose g - 11 = -2*s, -4*s + 7 = -b*s - g. Suppose -s*m = 2*m - 40. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((g\/(g*g\/(g\/(g*g**(4\/7)))*g)*g)\/g)\/(g*g**(-4)))**(26\/3))**(-3\/10))**32 assuming g is positive.\nAnswer: g**(-1248\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31617 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 3*w = -16*w. Let h be (-22)\/385*14\/(-8). Put -6, h, w in increasing order.\nAnswer: -6, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((6\/(-4))\/((-60)\/(-16)))\/(-1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor v**2\/2 - 9043*v\/2 + 1073478.\nAnswer: (v - 8799)*(v - 244)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*s - 4*s - 168 = 0. Does 28 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -128685.326 rounded to the nearest ten?\nAnswer: -128690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((f*f*(f**(-14)\/f)\/f*f*f)\/f)\/f**(5\/6))\/(f*(((f\/((f\/f**(-3\/5))\/f))\/f)\/f)\/f*f)**(-2\/13))**(-2\/61) assuming f is positive.\nAnswer: f**(5431\/11895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 2 a when three letters picked without replacement from {j: 1, h: 2, q: 1, v: 3, a: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 4, -5, 152632?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3890\/7 - -552. Suppose -2*p - 4*a = a, a - 17 = 3*p. Is x at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-24)\/72)\/(((-10)\/(-8))\/(-40*27\/(-270))).\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 5*d**3 + 4*d**2 + 4. Let a(j) = -6*j**3 - 5*j**2 - 5. Let x be (-93)\/(-4) - 3\/(-4). Let o = x + -28. Calculate o*a(s) - 5*f(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be (5\/75)\/(3\/10). Put -0.1, -0.01, 2, g in increasing order.\nAnswer: -0.1, -0.01, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3*(4 - (-323835)\/(-45)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x - 3 - 5. Let z be (1 + x)*81\/(-9). Calculate the greatest common divisor of 6 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**3 - 74*k**2 + 75*k.\nAnswer: -k*(k - 1)*(k + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 40542 is divided by 13476.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-22)\/(-11))\/(3\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - -1 - (-214 + 198) - 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 96 and 84.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -379 + 34*b**2 - 13*b**2 + 182 + 197.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1*(7 - 1)\/(-2). What is the second derivative of y - 3*y + 2*y**t - 3*y**3 wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4\/3 (b) -5 (c) 160 (d) 2\/7 (e) 9 (f) 29\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 2 - 2 - (4 - (3 - 1 - 2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.3 - 0.5. Let f be (0 - -3)\/(18\/(-4)*35\/(-420)). What is the third smallest value in h, f, 0.13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2384 is divided by 394?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = j**3 + j**2 + j - 2. Let a be -5 + 1 - (-1 + -3). Let k be t(a). Is 2 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3511093*g**2 - 20859881*g**2 - 3860246*g**2.\nAnswer: -28231220*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 + (14 - (-1 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:33 PM and 6:54 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -1266912812+-0.8\nAnswer: -1266912812.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 418*v - 3501*v - 6321*v.\nAnswer: -9404*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00008022901004 rounded to 7 dps?\nAnswer: 0.0000802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5 + -1*(sqrt(396) + -2)*-5*-5)*-5)**2.\nAnswer: -337500*sqrt(11) + 6238125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -77 (base 8) in base 12?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*y + 9 - 29 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: ((-15)\/10)\/(27\/(-12)*(-66)\/(-9))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 36022 (base 7) in base 10?\nAnswer: 9277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/7, -898, -16\/5, 4.\nAnswer: -898, -16\/5, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 15047726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, 36, 2, 44, 3 in decreasing order.\nAnswer: 44, 36, 3, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = m. Let a(l) = l - 7. Let n(v) = -6*v - 134. Let r(i) = -4*a(i) - n(i). Calculate z(r(k)).\nAnswer: 2*k + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = -30 - -38. Suppose -4*f = s, 65 = -2*j - j - 4*f. Suppose -2*v = -4, 7*g + 90 = 3*g + 3*v. Are g and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16425 = 8*k - 16385. Let j(d) = 3*d + 19. Let h(t) = 4*t + 20. What is k*j(n) + 4*h(n)?\nAnswer: n - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 284 - 280. Is 21 a factor of b\/18 - (-4154)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1 - -7. Suppose -3*u - 2*q = o, 5*q = -2*u + 4*q - 4. Is -1 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 13655, 13656, 13657, 13658, 13659?\n\"Answer: u + 13654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y - 26*r - 7 = -27*r, -5*y + 5 = 3*r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -5\/2*i**2 - 180 - 365\/2*i.\nAnswer: -5*(i + 1)*(i + 72)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 5*m**2 - 75*m + 4. Let y be p(15). Solve w + 3*l - y = -6, -5 = -w + 4*l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*f + 7*f + 1288 = 0. Let j be (38\/4)\/(2\/48). Let d = j - f. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 - 2*c**3 + 1351*c**2 - 469*c**2 + 2 + 5 - 3 to p + s*c + x*c**3 + y*c**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j**2 - 47*j - 1011. Determine k(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 42 = 4*q. Suppose 3*v - k = -7, -3*v = 2*v + 4*k + 23. Let x be q\/9*v + 10\/(-30). Solve -r = 5*u + 2, 3*u - 6 = x*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -33433820*i**3*q - 31413458*q wrt i.\nAnswer: -100301460*i**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(143) - (sqrt(143) - -2*5*sqrt(143) - sqrt(143)) - sqrt(143))\/(sqrt(891)*-2 - sqrt(11)).\nAnswer: 10*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-909 - 25\/5)*(-2 + 1). Suppose 5*x = -2*w + 1431, 3*w + 2*x - m = 1205. List the prime factors of w.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23515435 divided by -4?\nAnswer: -23515435\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = -8 + 10. Let k(o) = o**2 - o + 1. Let j be k(t). What is the second derivative of -6*p - p - 4*p**j + p wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 124.9 - 122.9. Let t = -2 - -4. Let d = -3 - t. Which is the second biggest value? (a) l (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 9242 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from napnyjqajyppyy. What is prob of picking 1 a, 1 y, 1 j, and 1 n?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 952.0253 weeks?\nAnswer: 575784901440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5 + 3. Let l = 17 + r. Suppose 0 = 3*p - 8*p + l. What is the least common multiple of 1 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1430 + 3205?\nAnswer: 4635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:48 PM and 6:25 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -1268 - 2992 = 243*c + 41*c for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3d5b - -10c?\nAnswer: -3c4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = 42 - 20. Suppose -3*u = 5*v - 572, 7*v = 3*v + 2*u + 440. Let j = v - q. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**3 + 3*r**2 + 2*r + 1. Let p be y(-2). Let q be ((-2)\/(-36))\/(2\/9). Let k be 2\/(-3)*(-3)\/7. Which is the closest to k? (a) q (b) p (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q + 5 - 20. Sort q, 27, -5.\nAnswer: -5, q, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8.565182 milligrams in nanograms?\nAnswer: 8565182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 648, 1297, 1946?\n\"Answer: 649*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 157, 1, -3, 5 in increasing order.\nAnswer: -3, 1, 5, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -6 + 21627c?\nAnswer: 216276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -n - 7 + 14, -2*n = x + 11. What is the hundreds digit of (954\/4 - -3)*(-4)\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*b**3*j - 12532*b**3 - 2*b**2*j - 1885857*b*j wrt b?\nAnswer: 18*b*j - 75192*b - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -0.3 - 46.1\nAnswer: -46.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) be the second derivative of 5*o**5\/4 - 37*o**3 + 174*o. Find the second derivative of c(t) wrt t.\nAnswer: 150*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*c**4 - c**4 + 10 + 5 + 5 - c**3 - 17 - 2*c**2 - 2*c as t + z*c**3 + l*c**4 + k*c**2 + g*c and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 468 + 57. Suppose -105 + w = 6*u. Suppose -2*k + u = 58. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-1 + sqrt(2448))*6.\nAnswer: -432*sqrt(17) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*a + v - 98, -a + 4*v + 5 = 22. Let x = 30 + a. Suppose -x*u - u + 3126 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (d - 4*d - 2 + d)*(3*d - 4*d + 0*d).\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is ((-16)\/(-30) - (-6)\/(-45))*(-3 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -8119194 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 89186 to the power of 1\/2, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = 18 - 5. Suppose -5*t + y = -5*i - 12, 5*t = i + 13. What is the third derivative of 3*d**6 + d**2 - t*d**6 + d**6 wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/49, -4, -1\/3, -2\/27 in descending order.\nAnswer: 2\/49, -2\/27, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -12*f - 36 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7 + 6. Let c(i) = 4*i**3 + 6*i**2 + 16*i. Let o(d) = -4*d**3 - 5*d**2 - 13*d. Let z(w) = 4*c(w) + 5*o(w). What is z(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the first derivative of v**5\/5 - v**4\/3 - 13*v + 18. Let m(c) be the first derivative of h(c). Factor m(r).\nAnswer: 4*r**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*f**3 + 2130*f**2 - 707*f**2 - 709*f**2 - 709*f**2.\nAnswer: -9*f**3 + 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 18329727 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 37.2 times -3?\nAnswer: -111.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + 8 + 308\/(-154).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sbb when three letters picked without replacement from sbsbttbsb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*k - 15*k - 31*k = -402 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 58*f**3 - 3*f**2 - 2*f - 20. Let l be k(4). Let n = l - 2317. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 8737*v**3 - 8*v**2 + 174*v - 92. Let k be l(-18). What is k rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes before 6:13 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -189\/4 + 1347\/28. Let g(w) = w**2 - w - 2. Let p be g(5). Let u be 4\/p + 20\/(-9). Sort -3\/8, n, u.\nAnswer: u, -3\/8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3718, -2378, -142, 2990, 7018?\nAnswer: 11942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be (0\/2)\/((8\/28*7)\/1). Suppose 1\/6*j**2 + 3*j + s = 0. What is j?\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = j + a - 9, -j + 8 = -5*a. Calculate the remainder when 49 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the first derivative of 0*q - 5\/8*q**2 - 8 - 5\/12*q**3. Solve y(u) = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d**(-26)*d)\/d)\/d**(3\/7)*(d\/(d\/d**15))\/(d\/d**29) assuming d is positive.\nAnswer: d**(123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -4038 divided by -3?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*(-5 + (sqrt(684) + sqrt(684) + 2 - sqrt(684) - sqrt(684))))**2 + 0)*-5*6.\nAnswer: -4320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1 - -1. Suppose -4*g = -k*g - 10. Solve -6*x - g = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -1\/2, 4, -0.01, 44, 1, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/(-14) - (-27)\/693. What is the nearest to 1 in 1, 0, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -13*q + 9 + 17 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be 8\/(-6)*(-54)\/(-12). Let s(p) = 11 + 142*p + 93*p - 1. Let l be s(g). Round l to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -106\nAnswer: 5\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6\/21 + (-15)\/(-21). Let d be 630\/40 + s\/4. Solve 5*u - b - 3*b = d, -1 = -u + 3*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -864*c**2*k**2 + 5*c**2 + 15*c*k - 996*c - 2*k**2 + 1 wrt c.\nAnswer: -1728*k**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*q + 48 = 56. Let i(o) = o**2 + 3*o + 3. Let y be i(-2). Is y + 0 + q - -21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 + -1 - -10) + -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3.02 - 8.02. Put x, -6, 2 in decreasing order.\nAnswer: 2, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -85*z - z**2 - 91*z + 341*z - 90*z - 75*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -r**3 + 41*r**2 - 34*r - 211. Give f(40).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 - 36 = -2*p. Let k = p + 33. Let j = k + -28. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 45329884 at most 45329886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 255.633 - 3736\nAnswer: -3480.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6812 - -27251\/4. What is the closest to -7 in 3, f, -0.5, -13\/3?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -8 (b) 16 (c) -1.4455 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2614 and -11.\nAnswer: 28754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be (5128\/(-6))\/((-24)\/180000). Round x to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 29\/5 of a century?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-7 - (-244)\/36)*1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.08 - 0.07. Let d = g + 0.09. Let y = 1.4 + -0.4. Which is greater: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.01 and -11.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7305? (a) 0.04 (b) 3 (c) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 495 divided by -99?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2130*b + 1011*b + 10071 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2015013*j**2 - 177478*j - 2?\nAnswer: -4030026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -50 - -52. Calculate the least common multiple of 10 and (-3 - (4\/4 - z)) + 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2475 - -6922. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (52\/20)\/(1\/10). Suppose 5*v + 2*b = -0*b - d, -4*v - 4 = -4*b. Put v, 1, -10 in descending order.\nAnswer: 1, v, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -66 by 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 11 and 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 468082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 662 minutes after 2:55 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 58723919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -50 (b) -38 (c) -1\/5 (d) -5 (e) -7 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 211 + -175. Let d(g) = 11*g**2 + g - 1. Let b be d(2). What is the tens digit of m\/b*490\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 2, l: 1, d: 1, k: 5}. Give prob of picking 1 k, 1 h, and 1 d.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = -19 - -6. Let w = 39 + d. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 138 greater than 137863\/993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 648 is divided by 161.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -207, -25, -8.\nAnswer: -207, -25, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 + 34010023?\nAnswer: 34010021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = 31582 - 31582. Which is the second smallest value? (a) 4 (b) g (c) -4 (d) -37.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 459269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 41*i**2 - 12*i - 2. Let g(b) = -123*b**2 + 35*b + 5. Let m(y) = -4*g(y) - 11*w(y). What is the units digit of m(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:28 PM and 10:38 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 2 k when three letters picked without replacement from kkktkkkkkkkkaaakk.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: ((-30)\/(4\/(-20) - (2431\/(-110))\/13))\/38\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 107854 is divided by 107805?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 3716200849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -138, -202, -178, -66, 134, 422?\nAnswer: 798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5655434?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 0, -264, -33175, 2 in decreasing order.\nAnswer: 2, 0, -1, -264, -33175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**3 + 9*v**2 + 24*v - 18. Calculate q(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 7) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**16)**(-1\/6) assuming s is positive.\nAnswer: s**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*t + 13*t + 7*t)*(-4 + 5 - 3)*(-132 + 132 + 37*t).\nAnswer: -962*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be (114\/(-171))\/(1 - (-15)\/3). Let j = -5 + 4.6. Which is the third biggest value? (a) -0.1 (b) o (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -130 + 130.05. Which is the smallest value? (a) -0.1 (b) 0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g such that 2*g**2\/13 + 16664*g\/13 - 50010\/13 = 0.\nAnswer: -8335, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t + 2 = -3*r + 8, -2*t + 16 = -5*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(3 + sqrt(60)\/(sqrt(48)*1) + (sqrt(225)*4)\/(5*-1*sqrt(5))))**2.\nAnswer: -228*sqrt(5)\/5 + 541\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 2 - (-5 - -7) - (-1 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5922308 divided by 11522.\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/2*(-9)\/(-36)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 1089 = 292*a - 193*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 572 minutes before 2:51 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -22959817*o. Let r(w) = 3*w. Determine p(r(l)).\nAnswer: -68879451*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4397?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 101 is divided by 30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s - 4*k = 80, 226*s - 278*s + 3*k = 875 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*u + 3 = 7*u. Let y(p) = 7*p + 1. Determine y(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 151284 is divided by 410?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -98.3605 rounded to 1 dp?\nAnswer: -98.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -2.1 * -61\nAnswer: 128.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/10 of a week in minutes?\nAnswer: 17136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 533 is divided by 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1 - (4 - 3)) + -4. Let x(h) = 69*h**3 - 6*h**2 + 5*h + 2. Let n(u) = -34*u**3 + 3*u**2 - 3*u - 1. Let j(g) = q*x(g) - 7*n(g). Is j(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**3 - 21*f**2 - 98*f - 40. Determine k(25).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2406185 is divided by 300769?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -9, -1757\/3, -0.072, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 142*l + 200*l = 194*l + 11988 for l.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the second derivative of 0 + 0*p**2 - 7*p + 1\/12*p**4 + 1\/3*p**3. Let j = -142 + 140. What is g(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 17\/2 of a year?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 437\/(-828) + (-6)\/27.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*l**2 - 3*l**2 - 5*l**2)*(373 - 9*l - 373) - l**3 - l**3 - l**3.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33861?\nAnswer: 3, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = 30 + -28. Let i be (148\/(-8) - z)*-2 - -4. Suppose -i - 40709 = -14*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*i - 20*i + 130 + 13*i - 824 to p + c*i and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 3*g. Let n be 1560\/819 - (0 - (-2)\/(-21)). Let h(r) = -840448 + 840448 + r**n - 3*r. Give h(b(o)).\nAnswer: 9*o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1927261?\nAnswer: 7, 275323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g**2 - 4*g - 2. Let o be z(4). Suppose 3 = -y - 4*w + 7, y - 6 = -5*w. Let h be ((-18)\/y)\/((-1)\/o). Solve -6 = -2*f + 2*u, -5*f - 3*u - 16 = h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the second derivative of c**5\/180 - c**4\/72 - c**3\/9 + 3*c**2 + 19*c. Let l(r) be the first derivative of g(r). Solve l(o) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**3 - 12*l**2 + 4*l + 42. Let f be t(-12). What are the prime factors of (7 + 0 + f)*(-1 - -13)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 100111011011101100100 (base 2) to base 6\nAnswer: 43410032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1775 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 60289764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*n**3\/8 + 27*n**2\/2 - 345*n\/8 + 117\/4.\nAnswer: 3*(n - 2)*(n - 1)*(n + 39)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = -11 - -16. Suppose 0 = 2*x - 6, x - 8 = j*d + 10. What is the units digit of 1 + 6\/d*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -6034, -6672, -8394, -11740, -17250, -25464, -36922, -52164?\n\"Answer: -90*f**3 - 2*f**2 - 2*f - 5940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 502a (base 14) to base 6\nAnswer: 143410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 + 1. Let l be (c - 1) + 15\/3. Suppose -6 - l = 5*k. Sort 2, k, 1.\nAnswer: k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -139756, -279478, -419178, -558844, -698464, -838026, -977518, -1116928?\nAnswer: -1256244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 3 = 2*q + 3, 3*c = -5*q - 22. Calculate the common denominator of -2 + 31\/8 + c and (-4)\/14*(-161)\/(-9).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 10 + -1 + (-2 - -2). Suppose -6 = -r*q + 6*q. Let g be (0 + 2)\/(0 - 2) + 4. Solve -1 = -5*y - 3*z, y + q + g = 2*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 653788746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/5 in -5, -0.02, 2\/5, -402, -23?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange n**4 + n**4 + n**2 - 112*n**3 + 229*n**3 + 6*n - 112*n**3 to the form r*n**2 + p*n + c*n**3 + x*n**4 + u and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -3287*m - 144533. Give h(-44).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (3*z - 4*z - z)*(2 - 1 + 5)*(3 - 1 - 1)*(117 + 18 - 2) in the form b*z + g and give b.\nAnswer: -1596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 313 (base 5) to base 13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 461328 and 1.7?\nAnswer: 784257.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxwrxyyirwgg. Give prob of picking 1 y, 1 w, and 1 g.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) be the first derivative of -3425*u**6\/3 - 381*u**2\/2 + 14*u + 1131. What is the second derivative of b(c) wrt c?\nAnswer: -137000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*f = 25*f + 10*f + 198*f + 8652 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-4)\/12*-15 + -1. Solve -5*k + 3*k = 3*g - 2, b*g = -2*k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z**3 - 13*z**2 - 13*z - 16. Let n(r) = r**3 + r**2 + 3*r - 4. Let m be n(2). Let k be h(m). Sort 5, 0, k, 4 in decreasing order.\nAnswer: 5, 4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4590 - -32073\/7. Calculate the common denominator of -24\/23 and s.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -395 - -1196\/3. Calculate the common denominator of s and 83\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3\/4 + 1. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1ed48 - 2?\nAnswer: 1ed46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - c)*(-c + 0*c + 2*c) + (-c + 0 + 0)*(2*c - 2*c + 10*c) - c**2 + 0*c**2 - c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yfssssfksysfsyskss. Give prob of picking 1 y and 1 s.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 4*d**2 - d - 8. Let z(v) = 9*v**2 - 2*v - 16. Determine -11*k(y) + 6*z(y).\nAnswer: 10*y**2 - y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1365 and 351?\nAnswer: 12285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1207146518?\nAnswer: 2, 29, 41, 507631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -2d646b (base 15) to base 9.\nAnswer: -4120232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 189 and 60?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from qqxqxjjxjqxxjxxj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 7*l + 20 = -2*l, 2*k - l + 4 = 0. Suppose -80 = -3*p + 3*g - 2, k = -3*g - 12. Calculate the remainder when 57 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -975, -982, -931, -816, -631, -370, -27?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/27, 28, 19\/5, -4, 4.\nAnswer: -4, -1\/27, 19\/5, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -6 - 179?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 17.6 + -18. Which is the closest to 0.1? (a) -4 (b) n (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 220 = -c + 6*c. Let o(y) = 15*y**3 + y**2 - y. Suppose 1 = 3*h - 2. Calculate the remainder when c is divided by o(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*l**3 + 49*l**2 - 47*l + 15 = 0. Calculate l.\nAnswer: 15\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14151457.\nAnswer: 929, 15233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 1171c (base 14) to base 15\nAnswer: c923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -3 - -86?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -11cca0 - -1?\nAnswer: -11cc9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12638.\nAnswer: 2, 71, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -46 - -70. What is the least common multiple of g and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 40\/6 - (-5)\/15. Suppose 1986 = h*k + 222. Is 36 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 22 + 0.3054086534\nAnswer: 22.3054086534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/172067 at most as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*r**3 - 22*r**3 + r**3 + ((1 - 2 - 3)*(-6*r + 3*r + 9*r) + 3*r + 0*r - 2*r)*(r**2 - 4*r**2 + 2*r**2).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16814133 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-2)*z*z)\/(z*z**(-4\/3))*(z**1)**(-1\/3) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2.7 in -2\/387, -2\/15, 4, -25, 7, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of 2086 and -71.\nAnswer: -148106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -35\/6 or -1\/2?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-120)\/(-200) + ((-320)\/575 - 0).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, g: 2, y: 1}. Give prob of sequence zg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.003852 and -1697.\nAnswer: 6.536844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -2, -5, 160, 2 in ascending order.\nAnswer: -5, -3, -2, 2, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence za when two letters picked without replacement from ktaxkxzkk?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is one fifteenth of a week in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 57 = 19*l - 76 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -70 + 188. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35394 is divided by 35382.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - d + 20 = 0. Suppose -24 = -5*m + 3*p, 0*m + m - d*p = -4. Let u = 11 - m. Solve u*i + 21 = -2*c, 2 = -5*c + 4*i - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.1644 - 3.1444. What is the second smallest value in 4\/5, t, 1\/22, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1488*g + 2535 = -1423*g for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 10*a**3 - 123*a**2 - 27*a + 51. Is r(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(11) + -1)**2 - (sqrt(396) + sqrt(44)).\nAnswer: -6*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 121*r - 123*r = -502, 3*g - 1426 = 4*r. What is the remainder when g is divided by 43?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41 - 6*m**3 + 69 - 3*m**3 + 12*m**3.\nAnswer: 3*m**3 + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j be (6\/(-12))\/(4\/(-232)) + -4. Suppose j + 185 = 2*d. Is 34 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32976632 to the power of 1\/2, to the nearest integer?\nAnswer: 5743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*b**4*k**2 + 47*b**2*k + 38*b*k + k**2 wrt b?\nAnswer: 24*b**2*k**2 + 94*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**5\/3 + 83062*r**4\/3 + 332228*r**3\/3 + 498332*r**2\/3 + 332218*r\/3 + 83054\/3.\nAnswer: 2*(r + 1)**4*(r + 41527)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v\/((v**(-2\/3)*v*v)\/v)*v)\/v**(-2\/7)*v\/(v\/(v\/((v*v*v*v**(-1\/4))\/v*v)*v*v))*v*v**(-2\/3)*v)**(-26))**21 assuming v is positive.\nAnswer: v**(-3861\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3745111*y**5 + 48645*y + 34 wrt y.\nAnswer: 74902220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 64444*v - 64596*v - 1976 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(459)\/(4*sqrt(9)))\/sqrt(3))**2 - (sqrt(1700) + (sqrt(1700) - (sqrt(1700) + -4 + sqrt(1700) + 5)**2) + sqrt(1700)))*6.\nAnswer: 60*sqrt(17) + 326499\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -21, 11\/14, 0.2.\nAnswer: -21, 0.2, 11\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o**4 + 1668*o**3 - 17764*o**2 - 40548*o - 21112 = 0. Calculate o.\nAnswer: -1, 13, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 717*r - 175. Is g(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 11\/5560 and -3.415 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out -2036 - 0.002.\nAnswer: -2036.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-4)\/3)\/(-3 + 5). Let s(q) = -20*q**2 - 16*q + 15. Let i be s(1). Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = -207 - -232. What is the remainder when 123 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -58, -1, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 31.4799 take away -50715?\nAnswer: 50746.4799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -50*x + 45*x + 1000. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1310715728 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -162, 2\/4713, -1\/5, -57\/7.\nAnswer: -162, -57\/7, -1\/5, 2\/4713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 6*j**3 + 2*j**2 - 2*j - 3. What is the units digit of t(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q**2 - 7*q + 8. Let i be b(-8). Differentiate -10*n**3 - i + 106 - 5*n**3 wrt n.\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.4 (b) -1 (c) 0.07412\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7 - -6.99. Let x = -1.01 - f. Let g = -107\/6 - -52\/3. Which is the third biggest value? (a) g (b) -10\/13 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 416 is divided by 50.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m**3 - m**2 + 1. Let h(z) = 9*z**3 - 8*z**2 + 8. Determine 5*h(o) - 40*p(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, 0, 1, -491, -5, -77 in increasing order.\nAnswer: -491, -77, -8, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Solve -4042 - 1630 = 152*z + 3752 for z.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n - 4*j + 50 - 46, -2*n = -j - 10. What is i in -11\/5*i**2 + i + 0 - 1\/5*i**n + 7\/5*i**3 = 0?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 179137.\nAnswer: 7, 157, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12 - -10.7. Let y = j + 1. What is the closest to 2\/5 in 1, -0.5, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1999 + 512*o**3 + 311*o**3 - 2002 - 2005 + 6006.\nAnswer: 823*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15 + -1 + 1\/28 + 1274680\/(-91168)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*x**3 + 3*x + 2*x**3 + 47*x**2 - 48*x**2 - 2*x**3 to the form t*x**3 + n + v*x + y*x**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -n**3 + 880*n**2 - 2*n + 6762.\nAnswer: -3*n**2 + 1760*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -4, -12, -44, -112, -228, -404, -652?\n\"Answer: -2*s**3 + 6*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*c**2\/17 + 12*c\/17 + 22.\nAnswer: -2*(c - 17)*(c + 11)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*x - 2*x - x**2)*((-10 + 15 + 11)*(1 + 0 + 1) + 0 + 1 + 2).\nAnswer: -35*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-9)\/2*4\/(-3). Suppose -t*s = -4*s - 30. Suppose -l = o - 4*l - s, -3*o = 5*l - 17. Solve -30 = 3*p + 4*g - 7, -p - 2*g = o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 323, -3, -111089 in descending order.\nAnswer: 323, -3, -111089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -a3 - -4?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 4*f + 54. Calculate the smallest common multiple of 0 + 5\/((-10)\/f) and (-7)\/2*(5 + 258\/(-42)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 * 21292478.\nAnswer: -10646239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4912 (b) -15 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2.98 - 4.18. Let o = p + 7.60097. Let a = -0.44 + o. Round a to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 52568012.\nAnswer: 2, 7, 17, 110437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 281734162.\nAnswer: 2, 140867081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + b + 32 = -96, 0 = w - 5*b - 40. Suppose 4*c = 4*l + 60, 4*l - w = -l. What is the remainder when c is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -2*m**3 - m**2 + 5*m - 1. Let z be c(-4). Let o be z\/28 + (-2)\/8. Solve r + 16 = -o*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2672 - -83580?\nAnswer: 86252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4150075 - -4150394.00472. Let t = -319 + h. Round t to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 2 + -10 + 5 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-9 - (63 - -21)) + -3 + 15 + 2?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 15279680477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:49 AM and 6:04 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 25 take away -17280?\nAnswer: 17305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 27812026 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20 - 9 - 26 - 23*y + 15.\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 286 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1356, 5403, 12148, 21591?\n\"Answer: 1349*w**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-6)\/(-45))\/((-33)\/99) - 94\/(-10). Solve -m = 5*r - y*r - 15, 4*r - 3*m + 21 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 2 o, and 1 v when four letters picked without replacement from vozzootsztvssovoss.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -10*a - 3*a**3 - 25 + 2*a + 27 in the form y*a**2 + d + z*a**3 + g*a and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6 + 1 - 4*m**2 + 3 - 3*m**2 to i*m + r + z*m**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = 6*f - 12. Suppose i = f*i. What is the nearest to i in 5, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 260 - 1298\/5. What is the nearest to -0.1 in -2, u, -12?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 49*c**2 - c + 2. Determine o(1).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -2*r**3 + 38*r**2 - 222*r + 4931. Give a(20).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(-51) + 6290\/(-578) + 8 + -8 - 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-117)\/6*((-12)\/(-20))\/(21*(-54)\/5040)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -11dd - -a0?\nAnswer: -113d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -35 + 128. Calculate the remainder when z is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -189424\/705 - -1344\/5. Let f = -2144\/987 - u. Find the common denominator of f and -17\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 170*k**2 - 2*k**3 - 2*k**3 + 3*k**3 - 222*k + 582*k - 4*k**3 = 0.\nAnswer: -2, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 156923 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000601 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 124 = 13*p + 20. Let g = 8 - 7.6. Which is the nearest to 2\/5? (a) g (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1656040 is divided by 33118?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2512 - -2513. Which is the closest to g? (a) 1\/2 (b) 1 (c) 10\/11 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -u**3 + 15*u**2 + 39*u - 396. Give d(16).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 688.8249 millilitres to litres.\nAnswer: 0.6888249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q**3\/5 + 7*q**2 + 112*q\/5 + 76\/5 = 0. Calculate q.\nAnswer: -2, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 9 + 31 = 0. Let g = -3\/4870 + 16803\/2435. Find the common denominator of (69\/h)\/((-4)\/(-10)) and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is u in -5*u**5\/4 + 15*u**4\/4 + 5*u**3\/4 - 15*u**2\/4 = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = 56 - 55.898. Let b = -0.902 + f. What is the third smallest value in -1, b, 1\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 8*g**2 - 7*g - 7. Let k(z) = z**3 + z**2 - z - 1. Let m(r) = h(r) - 3*k(r). Let l(q) = -q**3 + q**2 - q - 1. What is -5*l(p) + m(p)?\nAnswer: 2*p**3 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 16 and 1136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g**2 - 3*g**2 + 2*g**2)*(1 + 1 + 1) + 206 - 206 + 15*g - 2*g**2 + 0*g + 2*g**2 - 3*g + g.\nAnswer: -3*g**2 + 13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = -17484 - -157378\/9. What is the third biggest value in b, 16, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -458 - -987. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 183, -4, -699 in decreasing order.\nAnswer: 183, -4, -699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4.417 + -4.2. Let y = 125.783 + q. Let p = y + -126.0000093. What is p rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the first derivative of -c**4\/4 + 2*c**2 + 9*c + 4. Let f(i) be the second derivative of v(i). Let p(g) = 5*g. Give 3*f(m) + 4*p(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/7833 at most 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 16*d**4 - 3*d**3 - 40*d**2 - 3. Let m(t) = 32*t**4 - 5*t**3 - 79*t**2 - 5. Let r(b) = 3*m(b) - 5*q(b). Find the third derivative of r(w) wrt w.\nAnswer: 384*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -20322 (base 5) to base 2.\nAnswer: -10100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1204)\/1540 - (-6)\/10. Which is the closest to 0? (a) h (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 228, 899, 2018, 3585?\nAnswer: 5600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -5*n**2 - 96175. Let q(o) = -3*o. Determine q(l(x)).\nAnswer: 15*x**2 + 288525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*a - 822 = -378*a. Put -1, 6, 3\/4, 0.5, a in descending order.\nAnswer: 6, a, 3\/4, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.5 (c) -0.2 (d) -1\/10 (e) 399\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-9 + 138 + 162)*(-3*i + 4*i - 3*i) + (-i + 2*i + 5*i)*(-6 + 4 + 3) to g*i + a and give g.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2.56 + -0.06. Let n = -2 + x. Which is the second biggest value? (a) 2\/11 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*z = 74*s - 4*z + 126, -5*s - 11*z + 25*z = 13*z + 72 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-433*k**2 + 221*k**2 + 247*k**2)*(3*k - 3*k - 3*k) + k**2 + k**2 + k**3 + k**3.\nAnswer: -103*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 6, x: 6, k: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -1.059 to two dps.\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 52 - (56 - 21) - 43.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 54*n**3 - 2*n. Let i be s(1). Suppose 3*d + 4*f - 265 = 0, -d - 5*f = d - 186. Let c = d - i. What is c rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2, -63, -9, -5\/21, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*k + 9*k = 0. Which is the nearest to k? (a) -1 (b) 1\/7 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(40)\/(sqrt(128)*-4) - ((sqrt(60)\/sqrt(2))\/sqrt(6) + (sqrt(80)*2)**2).\nAnswer: -320 - 17*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -6629*l = -6292*l + 10784 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -2080932 (base 10) in base 15?\nAnswer: -2b188c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (21 + 4)\/5 - -7. Is (-3)\/x*1 - 327579\/(-28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 5168698719?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eyrreee?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -127 by 238.\nAnswer: -127\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 5453 by 287.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the third derivative of -c**4\/24 + 29*c**2. Let p(n) = -33*n**2. Determine p(q(a)).\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -49341*r + 24669*r + 24671*r. Suppose 5*x + 5*a - 28 = -3, 22 = 4*x + 5*a. What is n(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-155*l - 99*l + 38*l)*(l**2 - 283 + 4*l**2 + 285).\nAnswer: -1080*l**3 - 432*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -9743.4257157 - -9742.615. Let w = 0.77271 + t. Let o = w + 0.038. Round o to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 24648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(896) - 2*sqrt(896))\/((sqrt(63)*-1)\/sqrt(9)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -946, -938, -930, -922, -914, -906?\nAnswer: -898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1612 and 2108.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 38525, 77048, 115571, 154094, 192617, 231140?\n\"Answer: 38523*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 121350 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 98567964?\nAnswer: 2, 3, 11, 248909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q**2 - q + 5. Let m(b) = b. Let u(s) = -s**2 - s - 4. Let d(j) = 2*m(j) + u(j). Let o = 29 + -33. Let x be o + 0\/(18\/3). What is x*d(c) - 3*v(c)?\nAnswer: c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 595 divided by 35?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = h + 14. What is y(-22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + 3 + 9 + 4 + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1848 and 352.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 58 and 200709.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -12 + 2437061?\nAnswer: 2437047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -36\/55 and 103\/1140.\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7 + 4. What are the prime factors of (11\/k)\/(5\/(-15))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4284*s**3 - 490 wrt s.\nAnswer: 12852*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 903*i**5 + 3423*i?\nAnswer: 18060*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 117 or 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2091*c + 59976 = -425*c. Solve -1\/4*u**2 - c - 6*u = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, 15\/8, -1\/6 in decreasing order.\nAnswer: 15\/8, 0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 2*g - 3 + 9 - 3 - 2 - g**3. Determine b(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -22 + 34. Let k(w) = -68*w - 4. Let b be k(-2). What is the greatest common divisor of j and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 798 (base 16) to base 11\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -775412.196 rounded to the nearest 1000?\nAnswer: -775000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 4211 - 183?\nAnswer: 4017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u be (25\/(-35))\/(1\/(-7)). Let z = -3 - -4. What is the nearest to -1\/4 in 4, z, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the first derivative of 2*i**2 - 12 + 3*i**2 - 50 - 4*i**2. Let n(p) = 464*p. What is c(n(z))?\nAnswer: 928*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -38, -29, -14, 7, 34?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 - -5. Let v be 1 + 1138*(14\/4 - c). Let s = -355 - v. What are the prime factors of s?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30220 is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put together -5 and 10315.55937.\nAnswer: 10310.55937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*0.121561.\nAnswer: -0.486244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1*12\/(-6))\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*((sqrt(99) - (sqrt(99) + 1*sqrt(99)))*-1 + -5*(sqrt(99) - sqrt(99)*1)))\/(-3*(sqrt(900) + sqrt(900)*2)*4))**2.\nAnswer: 11\/32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-345)\/60 - 3\/12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -258 - -270. Suppose a*z + 20956 = 43*z. Calculate the greatest common factor of 52 and z.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the second derivative of i**4\/60 + 13*i**3\/30 + 11*i**2\/5 + i + 52. Factor a(y).\nAnswer: (y + 2)*(y + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 3*o - 159 = 0, 0*y + o - 106 = 2*y. Is y smaller than -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 83043735 by 2.\nAnswer: 83043735\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9, -42, -75, -108, -141, -174?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 76 - 72. Let a be 110\/25 - 2\/5. Let f be -1 + -1 + (0 - a). What is the closest to -0.1 in f, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*l - 157*l + 15*l.\nAnswer: -153*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 34*t**2 - 867*t - 20. Determine m(24).\nAnswer: -1244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 d, and 1 b when three letters picked without replacement from {d: 1, u: 5, b: 1, k: 1, p: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -33*b - 175. Determine g(0).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3078*l - 3071*l - 7602. What is the remainder when l is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 3*u**2 + 3*u**2 + 5 + 423*u**4 - 422*u**4 - 2*u as p*u**3 + i*u**2 + a*u + k*u**4 + j and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 455?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -9*a*r**5 + 17*a*r**3 + 34*a*r**2 + 3*a*r - a + 2*r + 8 wrt r?\nAnswer: -180*a*r**3 + 102*a*r + 68*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 207806 - -376?\nAnswer: 208283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -c - 5. Let t be k(-9). Solve 0 = -4*b + 3*d + 27, b - t*d + 17 = -8*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3 + -4)\/(((-3)\/12)\/1). Find the third derivative of -5*y**4 - 20*y**2 + 17*y**2 - 45*y**5 - y + 5*y**s wrt y.\nAnswer: -2700*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 8.04048969 to 1 dp.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) 3\/4 (b) 0 (c) 2\/9 (d) -203\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -1383, -36008 in ascending order.\nAnswer: -36008, -1383, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = 5*d + 227, 2*d - 2*s + 180 = -2*d. Let j = 63 + d. Let i(y) = y**3 - 19*y**2 - 7*y - 46. Let g be i(j). Round g to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (24\/(-28))\/((-26)\/91). Suppose -51011 = -z*j - 5*u, 38016 - 4009 = 2*j + 3*u. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 4*x**2. Let z be k(-1). Let r = z - 2. Suppose -2*f + 4 = -r. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3.89 - 0.11. Let s = -17410 + 17410. Which is the nearest to s? (a) -5\/6 (b) 6\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*v - 3 - 2. Let t = -3.2 + -0.8. Let g = t + 3.7. Which is the second smallest value? (a) 0 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1429148957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9199 + -9198.9. Which is the third biggest value? (a) 245 (b) -5 (c) l (d) 0.4 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -4 (b) -1 (c) 2.8667 (d) -1\/2 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20*(-4)\/(-2)*263\/(-17884).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 132199267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 838.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 118412 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(330)*-1)\/sqrt(6)*-5)\/(6*sqrt(25)\/sqrt(80)).\nAnswer: 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + (29 - 26) + (0 - 20)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + sqrt(539) + -2)**2 + -2 - ((sqrt(539) + 2 + sqrt(539))*6 + (6*sqrt(539)*2)**2))*-3.\nAnswer: 504*sqrt(11) + 231165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 2693749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 97\/16 and -73\/320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 6*g - 5*g = 49, -4*i + 2*g + 82 = 0. Suppose 6*n - 20 = 2*n, -s + 4*n - i = 0. Solve 3*a + s = -5*p + 34, 4*a = 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*t**3 + 0*t**3 - 2*t**3 - t + t + 2*t**3 + (3*t - 5*t + 0*t)*(-4*t**2 - 4*t**2 + 4*t**2) + 2*t**3 - 17*t**2 + 17*t**2.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = -0*l - 4*n - 268, 5*n = 4*l - 209. Suppose -836 = -5*v - 801. Calculate the greatest common factor of v and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 347 - 99. Let j = u - 186. Calculate the remainder when j is divided by 14\/21*(-3)\/(-2) - -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the first derivative of -y**3\/3 + 6*y**2 + y - 5. What are the prime factors of v(10)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*g + 2*g + 2*g)*(-3*g - 2*g + 3*g) + 3*g**2 + g**2 - 2*g**2 - 1520*g + 1683*g - 2 + 5*g**2 - g**2.\nAnswer: 8*g**2 + 163*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -6151 (base 14) to base 3.\nAnswer: -211221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*d**3\/5 - 411*d**2\/5 + 2856*d - 13872\/5.\nAnswer: 3*(d - 68)**2*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the second derivative of -j**6\/15 + 2203*j**5\/10 - 404801*j**4\/2 + 404067*j**3 - j + 3458. Factor a(q).\nAnswer: -2*q*(q - 1101)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*q**4 + 2 + 4*q**4 - q**4 + (14 - 14 - 9*q)*(-52 + 52 - 2*q**3) to f*q**2 + z*q + o*q**3 + d + r*q**4 and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -98978, -197957, -296934, -395909, -494882?\nAnswer: -593853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 1250 + 6*j**3 - 628 + j - 622 + 676*j**2 - 3*j**3 in the form g*j**3 + q + z*j**2 + t*j and give z.\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*v**2 + 128*v - 740.\nAnswer: 4*(v - 5)*(v + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**3 + k**2 - 13*k - 15. Let f be r(-4). Which is bigger: f or -21?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -607 and -21?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the second derivative of w**4\/6 + 26*w. Let d(u) = u**3 + 7*u**2 - u. Give -2*d(p) + 7*j(p).\nAnswer: -2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 158*j + 33930. Give z(-211).\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 194804*p*t - 19630*p wrt t.\nAnswer: 194804*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the second derivative of v**3\/3 - 14*v**2 + 2*v. Let w be r(16). Put w, -2, 2 in decreasing order.\nAnswer: w, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes before 12:18 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r - 5*r. Let g(c) = 3 + r*c**2 + c**2 + 3*c + 2*c. What is g(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 485\/20 - (-2)\/(-8). Let z = 50 - n. Suppose 0 = -3*q - 11 + z. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the first derivative of 26 - 2*x**3 + 3\/2*x**2 + x + 1\/4*x**4. Determine b(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -2\/15, 15 in decreasing order.\nAnswer: 15, -2\/15, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 6*m - 2. Let p(i) = 1 + 13*i - 6 + 1 + 1. Let r(y) = -7*c(y) + 3*p(y). Differentiate r(t) with respect to t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-189)\/54*(-60)\/21. Let a be (-12)\/(-40)*b\/4. Find m, given that 3\/2 - a*m**2 - 3\/4*m = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -o**3 - 8*o**2 - 8*o - 9. Let k(b) = -b**2 - 5*b - 1. Let h be k(-6). Determine m(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b - 0*b - 3. Let r be (-1 + -1)*(-5 - b). Solve 0 = a + 3 - r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 28.52 - 28.32. Is i not equal to -2.69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -98, -300, -622, -1064, -1626?\nAnswer: -2308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 82 minutes after 4:51 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 15068139 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6.9 + 53.1. Let m = v - 74.2. Let p = m + 12. What is p rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -259646*g**2 + 129822*g**2 + 129821*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-5684)\/(-10) + 6*(-2)\/30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*c + 110 = -202 - 13 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 35 = b, -2*b + 0*b = -2*y - 40. Suppose 0 = 5*h - b - 0. What is the highest common factor of 48 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -101510*x + 3956 - 785 + 101512*x to the form h + i*x and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (4 - 3) + (12 - 3 - 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 107 - -2?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 48*c**4 + 23114*c**3*s**2 + 29450173*s**2 wrt c?\nAnswer: 192*c**3 + 69342*c**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -1275*k + 1285*k - 1400. Calculate the remainder when 422 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (1792\/(-80))\/28 - (-8)\/10. Solve -4*b + 89 - 109 = l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2090*h**5 + 4*h**3 - 716*h**2 + 12*h wrt h?\nAnswer: -125400*h**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*m = 11*m + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8722 is divided by 871?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3*4\/(-3) + 1\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 6234\/21 - (220\/154)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0*(7 - 6 - (5 - 3)). Suppose o = -177*v + 170*v + 35. Solve 5*x - q + 3 + 9 = 0, v*x = -q - 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4225036 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1233 + 13323023211?\nAnswer: 13323031110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) be the third derivative of 0*q**4 + 3\/2*q**3 - 1\/30*q**5 + 0 - 1\/180*q**6 + 0*q - 6*q**2. Let r(f) be the first derivative of t(f). Factor r(y).\nAnswer: -2*y*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1068400 to the power of 1\/2, to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 295, 1169, 2625, 4663, 7283?\n\"Answer: 291*u**2 + u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g when two letters picked without replacement from goebgkk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - w - 7 = -6*w, 5*b = -w - 3. Is b < -1\/529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 263225 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -g**3 + 6*g**2 + 9*g - 5. Calculate z(8).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00259308663 rounded to 4 decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3692667*k**3 + 11186*k**2 + k + 99?\nAnswer: 22156002","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Let k = 39 - 38.8. Let j be 2008\/24 - (-1)\/3. Let l be (-6)\/24 + 45\/j. Which is the closest to k? (a) -2 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -258*c**2*f**2 + 2*c*f**2 + 112*c*f + 2*f**2 - 7*f - 603 with respect to c.\nAnswer: -516*c*f**2 + 2*f**2 + 112*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r. Let a(t) be the third derivative of t**5\/120 - 2*t**3\/3 + 2*t**2. Let w(b) be the first derivative of a(b). Calculate l(w(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 6*b - 1. Suppose -3*g + 4*h = 6, -4*g + 3*h = -0*g + 1. What is the remainder when 18 is divided by d(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 891250 and 9982?\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {w: 4, d: 2, c: 2, r: 3}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 6*q - 12 + 7*q - 3 + q**2. Let r be i(-15). Let j be 1\/(-3)*-3 - r\/(-5). Solve -5*u + 4*u = j*n - 17, -2*u - 2 = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 - (-41 + 41 - (3 - 0)) - -64?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be -4*1\/((-8)\/6). Let p = -297 - -298.37. Let q = 1.47 - p. Which is the nearest to 0? (a) q (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -18*((-15)\/(-2))\/(-5). Suppose 2 = 5*i + 3*k, -i = 4*k - 1 + 4. Let f be (-6)\/p*-3*i. Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -4*s - 17. Let q be j(-4). Is 18680\/(-8)*1\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 342\/17*z - 38\/17*z**3 + 18\/17*z**2 - 2\/17*z**4 = 0. What is z?\nAnswer: -19, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 126823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + -6 + (-4 - (29 + -35)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -h + 11. Let r(d) = -d**2 - 7*d + 6. Let n be r(-7). What is the smallest common multiple of g(n) and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -723, -3420, -7729, -13656, -21207?\n\"Answer: -d**3 - 800*d**2 - 290*d + 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve l - 1181 + 1184 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*g - 55*g = 58*g - 3844631. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**3 + 3*l**2 + 3*l - 4. Is x(3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 551.13686 to the nearest ten.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5336 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -2, 0, -13 in descending order.\nAnswer: 2, 0, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 377158 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = -y + 35. Suppose -3*x + y = -27. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(475)*2*4 + (sqrt(475)*-2)**2*3.\nAnswer: 40*sqrt(19) + 5700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-174)\/60*(-5016)\/(-72732)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w - 486*z + 6 = -491*z, -4*w + 2*w - 42 = -4*z for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/11? (a) -5 (b) 7 (c) 131\/2 (d) 0.2 (e) -8 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 25869.27us to seconds.\nAnswer: 0.02586927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1 * 38.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10*3\/(-12)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 43*x - 62*x - 24*x + 6278. Suppose 0*a = -4*a + 60. What is the remainder when x is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 986, 4173, 9556, 17135?\nAnswer: 26910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ppx when three letters picked without replacement from xppppppxpxp?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(847) + (sqrt(7) + 3 + sqrt(7) + 0)**2 - 4*sqrt(315)\/sqrt(5).\nAnswer: 11*sqrt(7) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d**3 + 2*d**2 - 2*d**2)*(-d - d - 2*d)*(100*d - 53*d + 49*d).\nAnswer: -768*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - q + 96 = 0. Let p = 162\/5 - q. Which is the second smallest value? (a) p (b) 1 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 90\/(-40)*512\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*n + 3*n - 30 + 5 = 2*s, 0 = -4*s - 220*n + 109*n + 1003 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 3*f - 17. Let u be z(7). Solve 2*i - 6 = -u*g, 2*g + g = i + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -166142729*5\nAnswer: -830713645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2\/23, 4, 11\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 0 - 2 - 6*j)*(4 - 4 - j)*(-4*j - 1 + 1).\nAnswer: -24*j**3 + 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 1 + 12*f**2 - f**2 - f - 2*f**2 + 3*f**2. Let m be c(1). Solve 0 = h + 2*i - 12, 2*h - m = -3*h + 2*i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 91452 and 168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 1.414 times 2\nAnswer: 2.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4 - 15420?\nAnswer: -15414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8\/69 + 22\/207. Suppose 3 = f - 2. Let o be 4\/22 + -2 - -2. Which is the nearest to 1? (a) f (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**2\/4 - 77275*z\/2 - 5971425625\/4.\nAnswer: -(z + 77275)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 2*q**2 - 3*q - 3. Suppose 0 = 4*f - 2*i + 3*i - 17, 0 = -4*f + 3*i - 3. Calculate the smallest common multiple of v(f) and ((-6)\/(-9))\/(1\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 69 a factor of 3657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 17697010?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1198 + 1?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/((-5)\/3)*(-7)\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*p - 40 + 52 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 13) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4475 + -19748?\nAnswer: -24223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = 41 - 29. Calculate the least common multiple of j and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 352 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 22*m*n**4 + 1806*m - 6*n**4 wrt n?\nAnswer: 88*m*n**3 - 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 13875781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -9*s. Let z(t) = t. Suppose 5*r - 682 = -632. What is r*z(y) + 2*w(y)?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 845653 is divided by 298?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be (44\/(-782))\/(1*(1 + 9)\/(-30)). Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 126115 + -126112. Factor 0 - 1\/3*r + 1\/9*r**l - 2\/9*r**2.\nAnswer: r*(r - 3)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**0*d**(-5\/4))\/(d\/(d**(-2)\/d)*d*d)**(-7))\/((d\/d**3)\/d**(-2\/21)*d\/(d\/(d*d*d**(-1\/4))*d)*d*d*((d*d**(-5\/4))\/d)\/d) assuming d is positive.\nAnswer: d**(3541\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*a - 7*a + 7*a + 2.\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1739 and 29396526?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -v - 75. Calculate z(35).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/16 of a centimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.02066299 + -0.55917279. Let w = g + 0.1385275. Let x = w - -0.4. What is x rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7848406923 - 7848407027.80121414. Let t = 0.19815586 - w. Let j = -105 + t. Round j to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 29*s + 140*s - 9 + 14 - 8 to the form z + l*s and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -v**2 + 8*v - 1. Let d(j) = -1. What is d(t) - l(t)?\nAnswer: t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = 2*x - 18. Calculate the remainder when x is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.06 + 18.06. Let b = m + -18.36. What is b rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2514512 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 884827, 2, 4 in ascending order.\nAnswer: 2, 4, 884827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = 49\/30 + -11\/6. Let v = -270.53 + 266.53. Sort -0.3, v, 3, x in increasing order.\nAnswer: v, -0.3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 2, f: 1, i: 1, s: 4, j: 1}. Give prob of picking 1 f, 1 i, and 1 j.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:13 PM and 12:25 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/2*6\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 84 - 64 - (22 + 6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1\/131 + 259\/393. Let a be 3 - (1 - (-4)\/3). Let 0*z + b*z**3 + 2\/3*z**2 + 0 - 2\/3*z**5 - a*z**4 = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 803499461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m + 1. Let j(g) = g**2 + g - 1. Let z be -3 - (0 + (-3 - -1)). Let h be (z - 10\/(-5))*-1. Determine h*j(q) - 2*o(q).\nAnswer: -q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -1625, -3206, -4717, -6122, -7385, -8470, -9341, -9962?\n\"Answer: 6*k**3 - k**2 - 1620*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 352 (b) -21 (c) 1 (d) 538\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u = -4*m - 20, 7*u + m - 25 = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cwyywcwcwccycc. Give prob of picking 2 y, 1 w, and 1 c.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 80*k - 40*k = -60*k - 1400 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11404, 11921, 12450, 12997, 13568, 14169, 14806, 15485?\nAnswer: 16212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 303 + -290. Let n(h) = h**3 - 12*h**2 + 7*h - 84. Is 8 a factor of n(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18 at least 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 12402695831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 10623.3 + -10622. Which is the nearest to 0? (a) k (b) -47 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -5\/6 and -0.6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 22*o**2 + 4*o + 3 - 15*o**2 + 22*o**2 - 5. What is the units digit of q(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c**2 - 30*c + 149. Calculate k(21).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -68 (base 12) in base 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -171*p + 164*p = -h + 7 + 4 + 11, 10*h - 147 = -2*p - p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 164 + -43. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-20)\/(-8) - (-1157)\/26. Let h(b) = b. Let l be h(-3). Let v = -151 + 149. Sort v, x, l in decreasing order.\nAnswer: x, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -177712 (base 9) in base 8?\nAnswer: -330101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1943168 and 470?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (325\/43550)\/((5\/15)\/(8\/6))\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -60 + 21 - 11 - c as n + u*c and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.56 + 0.228126366.\nAnswer: 0.788126366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 117934 = 103*f + 126483 for f.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.18577 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*s**2 - 9*s**3 + 16*s**3 + 2*s**2 - 1 + 188*s**3.\nAnswer: 195*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 219 by 5012.\nAnswer: 219\/5012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sum -8476 and 1.\nAnswer: -8475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 37 and 1406.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1423722 is divided by 2315.\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the first derivative of s**7\/840 - s**6\/60 - s**5\/120 + s**4\/12 - 8*s**3 - 24. Let h(z) be the third derivative of t(z). Determine h(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*(r*((r*(r**16\/r*r)\/r)\/r)\/r)\/r)\/r**(-7)*(r\/r**3)**(-2\/77) assuming r is positive.\nAnswer: r**(1698\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -2*p**3 + 155*p**2 - 225*p - 231. Let u be x(76). Put 3\/5, -0.4, u, 1\/4, 0.106 in decreasing order.\nAnswer: 3\/5, 1\/4, 0.106, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 + -0.1731392264609.\nAnswer: -1.1731392264609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = -14041 + 22170. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1237\/1428 - -6\/119. Calculate the common denominator of 1\/24 - (1 - 1) and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*l - 15*l + 59*l = 18*l - 781 for l.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 951831*u**2 + 352622*u - 2 wrt u.\nAnswer: 1903662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -14*u**4\/3 - 212*u**3\/3 + 4672*u**2 + 88320*u.\nAnswer: -2*u*(u + 24)**2*(7*u - 230)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 857\/4 - 214. Which is the third smallest value? (a) u (b) 1 (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + o - 9385 = 0, -4*l - 3*o + 5*o + 12500 = 0. Suppose 37*b + 4*z = 32*b + l, -1258 = -2*b + 2*z. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 499 = 2*o + x, -42*o + 2*x = -47*o + 1248. Put -1, 2, 1, o in increasing order.\nAnswer: -1, 1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/21310 and -37\/31965.\nAnswer: 63930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10 - 10100101100001?\nAnswer: -10100101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 27*z - 50. Let q be g(2). Factor 3*d**2 + 14*d**q + d**2 - 4*d - 12*d**4 - 6*d**4 + 4*d**3.\nAnswer: -4*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9778 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3.4 + 0.3. Let r = i + 0.1. Let w = r - -3.0165. Round w to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b**2 + 5*b + 11. Let j be f(-8). Let v be (-10)\/j - (-4)\/14. What are the prime factors of 0 + 17 + v + 3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r + 8. Let m(u) = -3*u + 7610 - 7606 - 4*u + 4*u + 4*u. Calculate -3*d(g) + 5*m(g).\nAnswer: 2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -10, -4, -2, -5, 0.09, 3, -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 267459, 267463, 267467, 267471?\nAnswer: 267475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 8 = -9, 0 = -5*s - 5*g - 10. Let x(q) = -7*q + 2*q + 2*q - 6. Let r(f) = f + 1. Calculate s*x(a) - 4*r(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4 + -731?\nAnswer: -725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -44121, -1, 1, -3, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = -10*h - 28. Let c be 2\/h + 20\/8. Let n(b) = b**3 + b**2 + b - 1. Let w be n(1). Solve c*m + 7 = 4*j - 11, -w*m - 5*j = -18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vmbbmmbv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 12 take away 893639006?\nAnswer: -893638994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 50, 19, -1, 0.5.\nAnswer: -1, -0.4, 0.5, 19, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = -233 - -234. Let i be r\/6 - (-285)\/18. Calculate the highest common divisor of i and 168.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -2*m - 15. Let v = 55 + -63. Let o be u(v). Is o at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11656 and 2181176?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w**3 + 4*w**3 + 5 + 1)*(-1 + 22 + 14)*(9 - 2 - 3).\nAnswer: 280*w**3 + 840","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = -207 - -916. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 14900681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 156 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*u - 97 + 95 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3280994 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: What is the smallest value in -4\/5, -0.4, -9, -0.3, -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -374.53 - -377.53. Which is the smallest value? (a) -0.5 (b) v (c) -26\/3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 75 divide 1356000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -3*i + 3. Solve -3*g + 5*g - 4*m + 2 = 0, -3*g + 2*m - i = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**3 + 7*o**2 + 7*o + 10. Let s be u(8). Suppose 4 = 4*z, 0 = -4*d + s*z + 10. Suppose -1172 = d*b - 7*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 54 + -60.4. Let s = v - -6.5. Which is the third biggest value? (a) 1\/2 (b) s (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 3, d: 6, g: 1, l: 7}. Give prob of sequence ds.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6*d - 32 + 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 46\/33 and 43\/3573.\nAnswer: 39303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, 19, 0.022, 0.2, 0?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6763 - -6837. What is the remainder when 251 is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand x**5 - 5*x**4 - 4*x**5 + 3*x**4 - 5*x**5 + 4*x**5 + 2*x**5 + (0 - 4 + 3)*(-111*x**4 + 10*x**5 + 111*x**4).\nAnswer: -12*x**5 - 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = 3*m - 66 + 3, 0 = -3*o + m + 63. Solve -o = -4*h - 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -11*m**5 + 17*m**5 + 20*m**5 + (m**3 - m**3 - 2*m**4)*(3*m + 2*m - 2*m).\nAnswer: 20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32002?\nAnswer: 2, 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = -9669705.1000052 - -9669703. Let p = -2.1 - m. What is p rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 5*i**4 + 50*i**3 - 140*i**2 - 200*i + 480 = 0. What is i?\nAnswer: -12, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 79.891 - -0.109. Let n = t + -83. Sort 2\/17, 5, n.\nAnswer: n, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -234 divided by -4?\nAnswer: 117\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-244*t + 1 - 2 + 248*t)*(-t**2 + t**2 + 2*t**3).\nAnswer: 8*t**4 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) be the first derivative of -n**4\/2 + 6*n**3 + 19*n**2\/2 + 10*n + 41. Let w be v(10). Solve w = 2*s - 4 - 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*l = 51*l - 527 - 313. Suppose -2*f = -3*f + 87. Suppose 5*u + m - f - 88 = 0, 2*m = 0. What is the remainder when u is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4281 and 910316121.\nAnswer: 4281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -34*i - 1695. What is k(-50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -11*v**2\/7 - 10*v - 96\/7.\nAnswer: -(v + 2)*(11*v + 48)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*a = -116*a - 367 - 1451 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -12\/11 in 2, 2\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + b + b = 19, 4*b = 2*r - 18. Suppose -9 = r*w - 660. What is the highest common divisor of w and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -879190 to the nearest 10000.\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 + 19 = 3*c. Let x(t) = -t**3 + 14*t**2 - 12*t - 10. Let s be x(c). What are the prime factors of ((-20)\/15)\/(-2) + 343\/s?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*g**2 - 1 - 4*g - 5*g**3 + 0*g**2 + 4*g**3 to the form d*g + o + m*g**2 + s*g**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = -82 - -77. Let l be (2\/(-5))\/(604\/(-141)). Let g = l + 1\/151. What is the second biggest value in r, -2\/7, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -4626, -4639, -4666, -4713, -4786?\n\"Answer: -m**3 - m**2 - 3*m - 4621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 62034009 is divided by 1539.\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.2, -375, -1355.9?\nAnswer: -1355.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -1, 6, -2016065 in decreasing order.\nAnswer: 6, 1, -1, -2016065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**4\/5 - 1568*g**3\/5 - 307328*g**2\/5.\nAnswer: -2*g**2*(g + 392)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(99))**2*6 - (-3 + sqrt(11) + -2 + 3).\nAnswer: 35*sqrt(11) + 602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48 = -h - 7*h. Let y be 18\/36*h*1. Suppose 134 + 25 = y*c + 2*p, -2*p + 210 = 4*c. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000492 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6 - 42) + 63 + -28.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -h + 1 - 1 - 11*h in the form f + n*h and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -12a11 (base 11) to base 13\nAnswer: -8580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that -4*k**5 + 86612*k**4 - 469501512*k**3 + 7027113736*k**2 - 22008399284*k + 15450700452 = 0.\nAnswer: 1, 3, 11, 10819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 6, s: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, o: 3, t: 3}. What is prob of picking 1 t and 1 o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 5487.9 meters?\nAnswer: 5487900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -7 + -0.5. Let v = h + 7.8. Which is the nearest to -0.2? (a) v (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 56 or 277\/5?\nAnswer: 277\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**2. Let j(i) = -4*i**2 - 2*i - 1. Let s(h) = 2*j(h) + 6*n(h). Suppose s(b) = 0. Calculate b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*l**2 - 186*l + 186*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 216801031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*d + 2*d + 380. Let p = d - 106. Let c be (-1)\/4 - p\/(-8). Let v(n) = -6*n + 5. Let b(r) = -7*r + 6. Calculate c*b(l) + 5*v(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -c + 2 = -2*x, -49 = -2*x - c - 51 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let 35*p**2 + 535*p + 150 = 0. What is p?\nAnswer: -15, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30952*l - 49053*l - 47347*l.\nAnswer: -65448*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3672 + -6 + -5 + 16 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 23 + (-14 - -10 - 1) - (-1 - -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -8925 divided by -5?\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 4 + 1 + 3*u + 0. Let k(y) = -4*y - 6. Suppose 3*l - 2*a - 18 = l, 16 = -4*a. Give l*k(c) + 6*d(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -23\/13987 + -8\/197. Let j(x) = x**2 + 2*x - 4. Let c be j(-3). Which is smaller: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 d and 1 v when four letters picked without replacement from {v: 1, b: 1, d: 9, e: 5, w: 1, r: 1}?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = 17267\/30 - 575. Let z be 4\/14 + -2 + 4952\/14. Find the common denominator of (-2)\/1 - (-1616)\/z and d.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 495 and 165.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w + 1. Let s(y) = 2*y**2 - 3*y - 3. Let l = 2 - -12. Let z be (-4)\/l - (384\/(-28))\/6. Let p(k) = z*s(k) + 6*j(k). Factor p(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x + 258 = -48*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 17476 + -17476.3. Sort -2, 273, p, -4.\nAnswer: -4, -2, p, 273","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 13432122 + 2?\nAnswer: 13432124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n and 2 j when four letters picked without replacement from {n: 3, j: 5, g: 5, a: 4, i: 1}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 18 divided by -2204\nAnswer: -9\/1102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x and 1 g when three letters picked without replacement from wjjfexgxjfx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = -574 - -573. Which is greater: t or 6\/1675?\nAnswer: 6\/1675","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4462687.\nAnswer: 17, 262511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m - 3. Suppose -13*v = -9*v - 120. Suppose 3*s = -2*s + v. Determine x(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*s**3 + 80*s**2 - 975*s - 15750.\nAnswer: 5*(s - 14)*(s + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n. Let l(b) = -b**2 - 3*b + 10. Let t(m) = -m**2 - 7*m + 21. Let f(g) = -7*l(g) + 3*t(g). What is f(h(y))?\nAnswer: 4*y**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -4 - -0.853520459\nAnswer: -3.146479541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 2, s: 11}. What is prob of sequence cs?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = -33 + 19. Let h be 52996\/(-345030) + (-4)\/f. Let u = h + 2\/1643. Which is the second smallest value? (a) 3 (b) u (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the second derivative of -5\/3*f**3 - 11\/12*f**4 + 7*f**2 + 6*f - 1\/20*f**5 + 0. Let l be p(-10). Solve 0 = -3*o + l - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**3 - 7*y**2 - 12*y + 108. Let c be i(6). Solve 31*v - 18 - 106 = c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 0*v**3 + 52*v**3 + 8*v**3 - 3*v**3 + 615 + 25*v**3 wrt v?\nAnswer: 246*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((-1)\/((-2)\/116))\/2 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1116*d + 25*d**3 - 1116*d.\nAnswer: 25*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -2*u**3 + 25*u**2 + 9*u + 52. Let i be s(13). Let b(h) be the second derivative of -h**4\/6 + 12*h**2 - 4*h. Is b(i) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 118 - 1136?\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2 - -122160?\nAnswer: 122155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from erxhxyx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 6*m**3 - 6*m**2 - 2*m + 24. Let w be (0 + 10\/(-4))\/(107\/214). Let u be q(w). Round u to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 22487631?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -139 + 137. What is the biggest value in 3\/2, n, 3\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -279744 or -279728?\nAnswer: -279728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 2 = 5*z + 2, -z + 5*s + 10 = 0. Suppose z = -2*h - h + 6, 0 = 2*b - 5*h. Is 5 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -934 - 933 + 6*l**3 + 1867.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 571865 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -93, -792, -2679, -6348, -12393?\nAnswer: -21408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -503.\nAnswer: 1\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*w + 35*w - 3*x + 2 = 0, 5*w + 4*x - 21 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(76) - sqrt(38)\/sqrt(2)*-2)*-1)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1604856?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-19)\/(-6) + (-10)\/60. Solve n*l - 3*r + 15 = 0, 6*l = l - r - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -16*u - 20. Let y be (4\/6)\/(3\/(-9)). Let g(c) = -3*c - 4. Let s(i) = y*w(i) + 11*g(i). What is the units digit of s(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-57)\/(-18) - (-5)\/(-30). Solve -3*o + f = -2*o - 1, 0 = -4*o + z*f + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -654*a - 106. Is t(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 11623 = 3*d, 8023 = v - 4*d - 3602. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1747018l in millilitres?\nAnswer: 174.7018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -3*r**3 - 4*r**2 + 2*r + 5. Let p(w) = -10*w**3 - 12*w**2 + 7*w + 15. Let y = 5 - -2. Let c(l) = y*s(l) - 2*p(l). List the prime factors of c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -42336 by -378.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + (-2 + -8 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v**2 - 3*v. Let g be r(-2). Suppose 0 = -5*a + g + 18. Let b = a + 11. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the second derivative of -13*u**8\/56 + 3*u**4\/4 - 14*u. Find the third derivative of r(f) wrt f.\nAnswer: -1560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3772147882 a multiple of 1153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4*(-5)\/(-30) - 230\/(-6). Let m(x) = 27 - x + 2*x**2 - b + 28. What are the prime factors of m(-5)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 637, 1431, 2741, 4561, 6885, 9707, 13021?\nAnswer: 16821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -77158 * 442\nAnswer: -34103836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -1261 (base 7) to base 15.\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 159 minutes before 6:21 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = -148447735\/1944 + 76362. Calculate the common denominator of s and 4\/9.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1668 is divided by -11*((-7)\/35 - 4*(-4)\/(-220)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (72*m**2 + 67*m**2 - 135*m**2)*(-3*m**2 - 19 + 19) as t*m**4 + r*m**2 + h*m + w*m**3 + z and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 9 by -17.\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 560, 1121, 1682?\n\"Answer: 561*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5998 - -6058. Calculate the highest common factor of 1308 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 3, r: 1, h: 3, t: 3, i: 2, u: 1}. Give prob of picking 1 i, 1 t, and 1 h.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4752879 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u + 9 - 29. Suppose 0 = -u*r + 2*g + 2, -2 - 1 = 2*r - 5*g. Let s(q) = 7*q - 7. Let m(x) = -x - 1. Let i(k) = -6*m(k) + s(k). What is i(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1368 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the second derivative of -209*s**6\/10 - s**5\/10 - 3311*s**4\/4 - 7789*s. What is the third derivative of n(q) wrt q?\nAnswer: -15048*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the second derivative of p**9\/3780 - p**6\/360 + 3*p**4\/4 - p. Let a(m) be the third derivative of o(m). Find the second derivative of a(b) wrt b.\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 12\/(-8)*28\/(-6). Let p = x - 6. Let r be p + -1 + 18000\/2. What is r rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1141.22 + -1140. Which is smaller: k or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1375)*1)\/(sqrt(22)\/sqrt(32)).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2443696*z**4 + 856418 wrt z.\nAnswer: 9774784*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = m**2 + 318*m + 4249. What is h(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) be the first derivative of z**4 + 4*z**3\/3 - 2*z**2 - 4*z - 36. Factor c(q).\nAnswer: 4*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dtdadaa. What is prob of sequence da?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -111\/22 and -119\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 40792616 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 144 and 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 703*x + 327*x + 765*x + 402*x as y + l*x and give l.\nAnswer: 2197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Are 10608 and 10613 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 31 = 9. Suppose 3*t - 4*t = 3*x + d, x = t. Let j(w) = -w**3 - 4*w**2 + 6*w. Give j(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -5 + 2002817?\nAnswer: 2002812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -6703*p + 12. Let r(i) = 3354*i - 5. Give -2*n(f) - 5*r(f).\nAnswer: -3364*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 164ac (base 14) to base 9.\nAnswer: 84507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 101 - 91. Let n be (0 - p\/(-1)) + (0 - 0). Solve -n*x + 6*x = -4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -47*v**2 - 149*v - 33781 wrt v?\nAnswer: -94*v - 149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7 - -6. Let b(w) = -16 - x + 6*w - 2*w + 26. Let u(d) = 2*d - 1. Give -2*b(q) + 5*u(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1001010010 - 11211112?\nAnswer: 212021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8219601 divided by 16809.\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 214 a factor of 101650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/3732185 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -5*j**2 + 6*j - 1. Let z(v) = -11*v**2 + 13*v - 2. Calculate -13*d(i) + 6*z(i).\nAnswer: -i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**3 - v. Let r(w) = -10*w**3 + w**2 + 5*w - 2. Calculate 5*i(a) + r(a).\nAnswer: -5*a**3 + a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -6*u + 5. Let p(z) = z - 1. Suppose 0 = -5*q + 2*t - 41 - 11, 2*q - t + 20 = 0. Let i = q - -14. Suppose -v + i = 3. Give v*w(c) - 5*p(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the first derivative of d**8\/1008 - 3*d**2\/2 + 3. Let l(x) be the second derivative of b(x). Let l(k) = 0. Calculate k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*g*t*w**3 - 333*g*t*w**2 - 2*g*t*w + 3*g*t - g*w**3 - 51*t - 9 wrt w?\nAnswer: 24*g*t*w - 666*g*t - 6*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 13, -64, 3, 16, 4 in decreasing order.\nAnswer: 16, 13, 4, 3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 3.174+286\nAnswer: 289.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 175 and 53725.\nAnswer: 53725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*b - 3*b + 11*b)*(310*b**3 - 156*b**3 - 157*b**3 + 2*b**2).\nAnswer: -12*b**4 + 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 73444 is divided by 75.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -148*d - 169*d + 3 + 312*d - 1 - 2.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 3446 divided by 4041?\nAnswer: 3446\/4041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -1825*p + 19812. What is y(10)?\nAnswer: 1562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1*-2 - 33\/66*-16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sum 1360736704720 and 2.37.\nAnswer: 1360736704722.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -35*j + 1417*j**2 - 34*j + 3*j**3 - 1483*j**2.\nAnswer: 3*j*(j - 23)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/1028734 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 3*p**2 + 4*p**2 - 6*p**2. Let z(h) = -157*h**2 - 18*h + 6. Let r(w) = 940*w**2 + 105*w - 35. Let u(y) = 6*r(y) + 35*z(y). Calculate u(d(i)).\nAnswer: 145*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -334, -697, -1060, -1423, -1786, -2149?\n\"Answer: -363*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1035*s - 8694 = -1021*s. Which is smaller: -620 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s**(-5)\/s*s**(-1)*s)\/((s\/(s**(-3\/2)*s))\/((s\/s**(3\/2))\/s)))**(-43))**29 assuming s is positive.\nAnswer: s**11223","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -75956 (base 14) to base 11.\nAnswer: -184801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u. Let w(k) = -3*k**2 - 15*k. Determine 15*s(x) + w(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 321654*l**5 - 7*l**2 - 4413 wrt l.\nAnswer: 19299240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the second derivative of -3*b**5\/80 - b**4\/8 + b**3\/8 + 3*b**2\/4 - 8*b. Suppose c(a) = 0. What is a?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eighty-eight fifths of a litre?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -19580 divided by 5?\nAnswer: -3916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.68 + -1.29. Let o = -0.03 + v. What is the nearest to o in -3, -1\/3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9051128 is divided by 215502?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(3\/5)*n)\/(n\/n**(-2\/3)))**2\/((n**(-2\/5))**(-19))**(-3\/10) assuming n is positive.\nAnswer: n**(161\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m**2 - 8*m - 4. Suppose 0 = -3*j - 15, -2*j + 4070 = 5*i - 0*j. Let w be i\/(-27) + -2 - (-10)\/45. Let p be (40\/w)\/(1\/4). Calculate d(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 5, r: 1, h: 1, i: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2.8 + 3. Let j = 0.1 - m. Let f = 0.4462 + -0.4462. What is the smallest value in 3\/4, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g**2 - 53*g - 164. Let v be j(-49). Suppose 3*w + 4*y - 39 = 0, -2*y + 11 = -3*w + v. Solve w*d = -4*d + 39 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*z + 25*z = 243. What is the remainder when z is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 2802, 2787, 2784, 2799, 2838, 2907?\n\"Answer: p**3 - 22*p + 2823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -213*c - 207*c - 230*c - 210*c + 832*c.\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 9634 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.03 - 6.13. Let x = 0.8 - 1.9. Let a = x - k. What is the closest to 2\/3 in -2, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w*w**(-3\/2)*w)\/w*w*w)\/w*w*((w\/((w\/(w\/(w\/((w\/w**5)\/w)))*w)\/w))\/w*w)\/w*(w**(-5\/6)\/w)\/(w**0\/w))**(28\/5) assuming w is positive.\nAnswer: w**(-448\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1\/(-9))\/(1\/8). Let s = w + 41\/36. What is the biggest value in s, -0.2, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1581, -1213, -603, 243, 1319?\n\"Answer: -w**3 + 127*w**2 - 6*w - 1701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 32*x**2 + 18*x - 22. Let p be a(5). Let v = 871 - p. Factor -1\/2*w**v - 2*w**2 - 3\/2*w + 0.\nAnswer: -w*(w + 1)*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -2*n - 3*n. Sort n, 5, 1 in ascending order.\nAnswer: n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 216, 1, 5, -149161 in descending order.\nAnswer: 216, 5, 1, -149161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -r**2 - 10*r + 15. Let q be b(-11). What is the third derivative of 0 + 0 + c**2 + 0*c**2 - 2*c**q wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 354, 4, 4\/67, -0.081 in increasing order.\nAnswer: -0.081, 4\/67, 4, 5, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16 - 7 - 11 - g**3 - g**2 - 11*g + 5*g to the form u*g + n*g**3 + i + b*g**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.2 - 16.2. Let q = 16.904 - -0.096. Let g = q + x. Put 2\/17, 1\/3, g in ascending order.\nAnswer: 2\/17, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the first derivative of x**7\/210 - x**5\/30 + 3*x**2\/2 - 1. Let k(j) be the second derivative of d(j). Find the third derivative of k(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -24*p**2 + 21666*p + 39313281. Let r(c) = c**2 + 2*c - 3. Let i(w) = -q(w) - 27*r(w). Factor i(k).\nAnswer: -3*(k + 3620)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-46)\/11 - -3 - -1. Let x = -458.54 + -2.46. Let r = x - -455. What is the third smallest value in 0.1, r, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p + 1 - 1 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (4*i**3 - 5*i - 4*i - 5*i**3)*(6*i - 10*i + 9*i) as g*i**3 + u*i**2 + j*i + c + w*i**4 and give u.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:07 PM and 4:31 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 60, -106, 1, -1, 0 in decreasing order.\nAnswer: 60, 1, 0, -1, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (((-7127)\/3)\/((-92)\/138))\/((-2)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3546 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 5*k = 197, -95 = -4*x + 2*k + 95. 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: List the prime factors of 7154\/(14\/(-7) + 4) - -6.\nAnswer: 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1237618, 1237640, 1237668, 1237702?\nAnswer: 1237742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l**2 - l. Let a be o(1). Suppose q - 1 = a, 3*m + 2*m - 14 = -4*q. Let r be 47\/5 + 2\/(-5). Solve -h = m*h + r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((k - 3*k + 4*k)*(-k + k - 2*k) - 8 - 5*k**2 + 8)*(46 - 3 + 27).\nAnswer: -630*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 2639 + 478 = m, -3132 = -4*w + 4*m. Let g(y) = y**2 + 12*y + 28. Let l be g(-10). Suppose -14*r + l*r = -w. What are the prime factors of r?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -2, -79, 1 in decreasing order.\nAnswer: 1, -1, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o**5 + 31440*o**4 - 62905*o**3 - 31440*o**2 + 62900*o = 0.\nAnswer: -6290, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yjjjhguuuggjgj. What is prob of sequence gh?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -1.19156 + -5?\nAnswer: -6.19156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -3, 1903, 23\/5 in increasing order.\nAnswer: -3, -0.3, 23\/5, 1903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 834531?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2146*u + 685*u = 70775 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 + -20. Calculate the remainder when 17 is divided by (-114)\/c - (-2)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 0 + 0*l + 7 - l + 2. Suppose 2*y - 3 = -2*b + 5, -3*y + 6 = 2*b. Let x be i(b). Solve n + 0 - x = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) be the third derivative of z**5\/10 - 5*z**4\/12 - 3*z**3 + 24*z**2. Does 18 divide p(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - s - 6 = 0. What is the third derivative of s + 0*x**4 - 3*x**2 - 2 - 5*x**4 wrt x?\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3f73 + -1?\nAnswer: 3f72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1079482 and 757?\nAnswer: 1079482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -99367.0351 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -4 + 2*p + 3 + 2 - 6. What is a(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -54.3 - -47.92. Let s = 6.08 - 0.08. Let d = s + x. Round d to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the second derivative of -2*c**3\/3 + 5*c**2\/2 - 3*c. Find the first derivative of v(t) wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1463425169 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/3 + 20\/3. Let a(f) = -3*f**3 - 11*f**2 - 4. Let p(o) = 20*o**3 + 68*o**2 + 2*o + 25. Let v(w) = -13*a(w) - 2*p(w). Calculate v(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j + 10. Let w be h(-8). Suppose 0*i + 5*i = -3*l + 25, 5*i - w*l = 0. What is the greatest common divisor of i and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 154 + -1696\/11. Let d = 1 + -0.8. Put 0.3, g, d in increasing order.\nAnswer: g, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 14.626235 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 1428 = 2*a, v + v - 2880 = -4*a. Let t = 17219\/12 - v. Calculate the common denominator of t and 47\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2468 is divided by 205?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c - 10 - 2. Suppose c = -g + 5*v, 3*g - v + 6*v = 8. Let o(k) = 6*k + 1 - 3*k - g. Determine o(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k such that -5*k**4\/4 - 2812915*k**3\/4 - 197803127565*k**2\/2 + 1285860275415*k + 2967321180150 = 0.\nAnswer: -281298, -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 774.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 327 minutes after 4:26 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sum -1670325 and -35.\nAnswer: -1670360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - m - 10 = 0. Let i be (-1)\/m + (-9)\/6. Let z(p) = -6*p**2 + 2*p + 1. What is z(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -87*h + 81*h = 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2 + 9)*(-1 - 2 + 1 + 1 - 2 - 1 + 3 - 2 + 0 + 1 - 3 + 0 + (-2 - 2 + 6)*(0 + 1 - 2))*(12*t - 27*t + 45*t).\nAnswer: -2520*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -676*t**2 - 557*t wrt t?\nAnswer: -1352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 3 - 7 = x, -5*w = 4*x - 28. Let s(k) = 8*k + 3*k**x + 12 + 3 - 5. Does 13 divide s(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -7 by -767.\nAnswer: 7\/767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(17) - (sqrt(17) + sqrt(153) + 2)) + 2*sqrt(1700))**2.\nAnswer: -68*sqrt(17) + 4917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -86099, -86215, -86331?\n\"Answer: -116*i - 85983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2 - (-2 - 1))*3. Let j be (-3)\/(n*(-2)\/4). Solve v = 4*d - 3, -3*v - 7 = 3*d + j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -169 - 226 = -5*m. Calculate the remainder when m is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2 - -10. Let v = 271 + -135. Suppose -5*p + 49 + v = 0. What is the remainder when p is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 8) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, d: 1, l: 5, r: 3, s: 1, z: 4}. What is prob of sequence ul?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*a = -957*r + 962*r + 175, 5*r = 3*a - 140 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -p**6*r + 139*p**3*r - 2*p**2*r + 144*r wrt p?\nAnswer: -120*p**3*r + 834*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 3*k - 13. Let x be y(9). Solve l - 4*j + 8*j + x = 0, 2*j = 4*l - 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the first derivative of -5*w**4 - 11*w**3 - 17*w**2 - 40*w + 231. Is n(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 2*k**3 + 2. Let j(h) be the second derivative of 1\/2*h**2 + 48 - 4*h. What is -2*j(i) + y(i)?\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, m: 3, d: 2}. Give prob of sequence dd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Sort 0, 2866, 2, -2\/3 in ascending order.\nAnswer: -2\/3, 0, 2, 2866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 660 and 396?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 2091 = s, 5*a - 7*a + 2082 = -2*s. Let l = a + -310. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -304, -603, -896, -1183, -1464?\n\"Answer: 3*u**2 - 308*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 496 minutes after 12:10 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -2*z**2 + 31*z + 37. Suppose 4*w = 4*b + 72, 16*w - 14*w - 4*b = 40. Calculate f(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the third derivative of l**6\/120 - l**5\/20 - 5*l**4\/24 + l**3\/3 - l**2. Let o(a) = -6 - 2 + 2*a + 0*a. Let b be o(6). Give p(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 1, -3214, 180, -1, -4 in decreasing order.\nAnswer: 180, 7, 1, -1, -4, -3214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 divided by -25.\nAnswer: -11\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27171 + 13604 + 13567 - 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (sqrt(136) + -3*sqrt(136)*-2)\/(-2*sqrt(32)\/sqrt(4)))*1.\nAnswer: -7*sqrt(17)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c**4 + 25*c**3 + 30*c**2 = 0. Calculate c.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o = 2*o - 546. Let w(h) = h**3 - 36*h**2 + 35*h + 13. Let y be w(35). What is the greatest common divisor of o and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 108, 2\/9, 6.\nAnswer: -1, 2\/9, 6, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-700)\/(-20)*1\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) be the second derivative of z**6\/30 + 47*z**5\/20 - z**4 - 3*z**2\/2 - 10*z - 6. Find the third derivative of v(o) wrt o.\nAnswer: 24*o + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (14\/28)\/(1\/6). Suppose 2*r + d - 6 = 4*d, 4*r - o*d = 12. Suppose r*w = 3*p + 42, -6 = -w + 3*p - 4*p. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -51 - -49. Let q be (-4)\/(-20)*3*30. Let o be 12\/q + (-1)\/(3\/(-13)). Sort -3, m, o, -0.5.\nAnswer: -3, m, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 6*y + 2*y**2 - y - 5 + y**2 - y**3. Let h(c) = 10*c - 26. Let b be h(3). Let v be t(b). Is v less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 84197, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 40118 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1493 = 2*s - 3177. Let q = s + -1080. List the prime factors of q.\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 581, 1160, 1737, 2312, 2885, 3456, 4025?\n\"Answer: -c**2 + 582*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) -461 (b) -3\/2 (c) -4 (d) -0.2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 4.598 rounded to 1 decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -56\/36115 and 23\/341.\nAnswer: 397265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = m**3 + 23*m**2 - 26*m + 4. Calculate r(-24).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5815.\nAnswer: 5, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -184 - 0.01151936421.\nAnswer: -184.01151936421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -v**4\/2 + 2628*v**3 - 10509*v**2\/2 + 2627*v = 0.\nAnswer: 0, 1, 5254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -432, -674, -930, -1206, -1508?\n\"Answer: -y**3 - y**2 - 232*y - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 9844727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.07487 less than -738.210334?\nAnswer: -738.135464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 363766?\nAnswer: 2, 13, 17, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -4\/9*f + 2\/9 + 2\/9*f**2.\nAnswer: 2*(f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-5)\/(-3) + (-18925)\/1470 + 11 and -155\/588.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -5530, -5695, -5974, -6361, -6850, -7435?\n\"Answer: p**3 - 63*p**2 + 17*p - 5485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -27094*v**3 - v**2 - 4*v - 731.\nAnswer: -162564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 2*i**2 - 4*i. Let s(y) = -y**3 + 3*y**2 - 5*y. Let l(k) = k**3 - 20*k**2 + 73*k + 33. Let w be l(15). Suppose 0 = g + 2. Determine g*s(h) + w*j(h).\nAnswer: 2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 423 is divided by 34.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -3 (b) 2 (c) 10 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-7)\/(-1) + ((-790)\/110 - 0). Which is the nearest to k? (a) 5\/4 (b) 1\/6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -453, -389, -325, -261?\n\"Answer: 64*m - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from oxmxxzm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 79278033.\nAnswer: 3, 23, 1148957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4 - 6. Let k be 2\/((-3)\/2 - g). What is the third derivative of -d**4 + d**k - d**5 - d**2 wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2.79 * 2251.38\nAnswer: 6281.3502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*3*(-1*sqrt(156))\/sqrt(12)*-2 + (4*(sqrt(832) - (3 + 1*sqrt(832)) - (0 + sqrt(832)*1)))**2.\nAnswer: 738*sqrt(13) + 13456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -32*w**4 + 342*w**3 + 7*w**2 + 636 wrt w?\nAnswer: -768*w + 2052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 50 and 35?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 1372 - 855 + 1875 = 52*n for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 + -4 - 56) + (752 - 754).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 18.9 + -19. Is u > 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -4 + (17 - 19) - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 2*a + 2*c = 357, 0 = -4*c - 12. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -868, -1752, -2648, -3556, -4476, -5408, -6352?\n\"Answer: -6*a**2 - 866*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 12894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 4 (c) -0.2 (d) -1 (e) 6\/11 (f) -2600\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -891 = -42*p - 39*p. Calculate the remainder when 65 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 24186832 to the nearest integer?\nAnswer: 4918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 48344857541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -126 = -4*b + 5*b + 13*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22\/(-33)*3\/(-23).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 12*h**3 - 33*h**2 - 56*h - 2. What is p(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 951 divided by -317.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1161 + -680. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1*(1 - 2) + 3. Suppose f*i - 12 - 154 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*m - 3*m + 4*m + (-1 + 4 - 1)*(10*m + 0*m + 16*m) to the form p*m + l and give p.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o**3\/11 - 422*o**2\/11 + 436*o\/11 + 2544\/11 = 0.\nAnswer: -212, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 2 + (-5 - -1) + (9 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -2*r. Let h be (3 + -2)\/((-5)\/(-6260)). Let u be (-1)\/(-1 + 1248\/h). Let w(t) = 12*t - 313 + u. Determine z(w(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 1. Let q(c) = 5*c - 2*c + 6 - 4*c. Let f(i) = -6*a(i) + q(i). Let o(w) = -2*w - w - 7*w + 9*w. Calculate f(s) + 3*o(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -0*d. Let y be d\/(2 + 3 - 3). Solve 3 = -y*s - 3*s, 4*p - 3 = -s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7 - 11. Let t = -2 - f. Suppose w - 11 = -l - t*w, -2*l - 5 = -3*w. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1818 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-7)\/(-7)*3*(-58)\/(-290)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of 1.28 and 6389.\nAnswer: 6390.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 2*k)*(-8*k + 11*k + 5*k)*(2 - 6 + 2).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f**4\/2 - f**3\/2 + 15*f**2\/2 - 23*f\/2 + 5 = 0. Calculate f.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n be 13 + -13 - (-4)\/(-1). Let k be (n - -3)*(-2)\/8. Suppose 3*b - 4*s + 16 = 0, 0 = 2*b + 3*s - 0 - 12. What is the closest to b in k, -4\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 58221, 58220, 58219?\nAnswer: 58218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 224 and 17855488.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (3\/45*6)\/((-1620)\/19197*(-21)\/350)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 2*p - 2. Let o be y(3). Let v(f) = -4*f + 29. Let m be v(-6). What is the units digit of 3\/o + m\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1080 and 648.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 7*y**2 + 6*y**2 - 12*y**2. Let l(w) = -2*w. Give l(t(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6.3804 - -12.08047. Let a = -5.7 + r. Round a to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 532523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 863634479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = -72538.80008 - -72536. Let b = 9.1 + -6.3. Let q = x + b. Round q to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -1154 times 4933\nAnswer: -5692682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2463 - 1342. Let s = 1606 - z. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 2, -8, -2, 1 in decreasing order.\nAnswer: 2, 1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 28960?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -8*t**2 - 13*t + 9. Suppose -5*m - 2 = -12. Let z = m + 1. Let b(p) = -2 + 5*p**2 - 2*p**2 - p**2 + z*p. What is 9*b(k) + 2*x(k)?\nAnswer: 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that p**4\/2 - 934*p**3 - 29379*p**2 - 105354*p - 153819\/2 = 0.\nAnswer: -27, -3, -1, 1899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2338\/13 + -180. Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*w + 6*w - 2*w)*(210559*w - 1530*w**2 - 210559*w) in the form b*w**3 + f*w**2 + d + c*w and give b.\nAnswer: -3060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -3*f**2 + 3 - 3. Let z(p) be the first derivative of -2*p**3 + 262. Calculate z(k(h)).\nAnswer: -54*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 196*j = 140*j + 112 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 16 - 5 - n + 7*n - 9 as a*n + b and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from mmmgmgmmgmm.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = b - 6*b. Let s = 2 - -2. What is the third derivative of -4*i**3 - s*i**3 - 19*i**2 + 3*i**3 + 30*i**b wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 3 + 2)*(1 - 1 + z) - 2*z + 2 + 0 - 4 in the form u*z + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jj when two letters picked without replacement from qglwgjgwwgjlwjgj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 141331?\nAnswer: 79, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 + 9)*(-6*m + 2*m + 3*m).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 13831297 a multiple of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1329494753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 138*f**2 - 2*f - 13. Let g be -12*(-4 - (-28)\/8). Let t be l(g). Find the third derivative of -43*o**6 + t*o**3 - 4943*o**3 + 3*o**2 wrt o.\nAnswer: -5160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 3 + 5*t - 2 - 4*t. Let s(l) = -l**2 - 2*l - 2. Give -2*s(p) - 5*z(p).\nAnswer: 2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1036 a factor of 112509059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {j: 4, m: 10}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2127 and 1512.\nAnswer: 1072008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6181 is divided by 134?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = -563 - -573. What is the remainder when 9\/45 - (-548)\/s is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 265.342 rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -110 + 695. Calculate the greatest common factor of w and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -2*s**2 + 5*s**2 - s**2. Suppose 0*d - 3*d + 6 = 0. Let l(y) = -3*y**2 + 4*y**2 - 3*y**d. Determine l(g(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-324)\/(-27) + 438\/(-24) + (1 - 0\/5)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1, 91, 249, 479, 787, 1179?\nAnswer: 1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 61*s**3*x + 3*s**3 + 3*s**2*x + s*x - 819*s + 3*x wrt s.\nAnswer: 366*s*x + 18*s + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 62694854.\nAnswer: 2, 173, 181199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3190803.\nAnswer: 3, 7, 11, 19, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 121 is divided by 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(68) + -1*sqrt(68) - sqrt(68))*4*-3)\/(sqrt(28)\/sqrt(175) + sqrt(4) + (sqrt(28)*-3)\/sqrt(7)).\nAnswer: -40*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 9*c**2 - 3*c**2 + 2*c**2. Let n(p) = p**2. Determine k(n(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3239 + 3265. What is the remainder when 201 is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.2 (b) -1 (c) 3 (d) 2 (e) -2\/39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 16 = -l + o, 12 = l - o. Let p be 3 - (-35 + l\/(-4)). Suppose 2*q - p = -2*q. Calculate the highest common divisor of 25 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1883857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1)\/(x**1\/x))\/((x\/((x*x**(1\/3)*x)\/x))\/x**10) assuming x is positive.\nAnswer: x**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = -52 + 89. Suppose -11 + b = 2*l. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 2*q. Let r(h) = -26*h. Give r(g(a)).\nAnswer: -52*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = -84 - -89. Suppose 3*z - 2*y + 11 = 0, y + y = -3*z + t. What are the prime factors of -3 + -12*12*z?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 50 - 1 = -2*v, v - 3 = -4*w. Suppose -22*g + 2*g = 440. Let c = v - g. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the second derivative of -20*m**3 + m**2\/2 - 3*m. Is y(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in -0.003, -0.2, 6, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -2*sqrt(1100) + -4 - (-5 + (sqrt(1100) - -5*(sqrt(1100) + sqrt(1100)*-2))).\nAnswer: -2 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the first derivative of -2*h**3 + 4*h**2 - 11. What is the second derivative of w(g) wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 18*o + 36. Let q be l(-2). Put q, -1, 9, -2 in decreasing order.\nAnswer: 9, q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -21*l + 16*l - 4*n + 37, 2 = l - n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -2750 by 110.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:34 PM and 11:35 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v + 4*r - 92, 23 = 3*v + 3*r - 109. Let d(t) = t**3 + 10*t**2 + 9*t + 6. Let q be d(-9). What is the greatest common factor of v and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 297 divide 37818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nulnjujnljnjunlmf. What is prob of picking 3 j?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ttmt when four letters picked without replacement from {t: 4, m: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 4*a + 8. Let x(k) be the second derivative of -5*k**3\/6 - 9*k**2\/2 + 3*k. Let z(j) = -3*d(j) - 2*x(j). Is z(-10) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 54414802?\nAnswer: 2, 13, 1367, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 40475 (base 10) in base 11?\nAnswer: 28456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 259 and 1778?\nAnswer: 65786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -30 = -23*w + 18*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 121508 is divided by 30113.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/(-3)*-1)\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -15 - -15. Let p be (-1)\/1*(-162 - w). Let o = -43 + 61. Calculate the highest common divisor of p and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = i**3 - 12*i**2 + 32*i - 17. Let w be ((-9)\/(-5))\/(3 - 171\/60). Is n(w) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-3)*r*r\/r**(-4\/3))\/((r*r\/(r*(r\/((r*r*r*r*r**(-2\/3)*r)\/r))\/r))\/r**(4\/5))*(r*r*r**(-1))\/r*r**6*(r\/(r*r**(-1\/2))*r)**(-5\/18) assuming r is positive.\nAnswer: r**(143\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1454)\/(-11) + 8\/(-44). Suppose -2*k + 36 = -0*k + 4*c, 4*c + s = 4*k. What is the greatest common divisor of 42 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -x**2 + 6*x + 8. Suppose 2*h + 3*p - 11 = 0, 3*p + 23 = 3*h + p. Let v be b(h). Which is smaller: v or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -29 - -cd?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*y**3 - 15*y**3 - 15*y**3 + 7*y**3.\nAnswer: -21*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 315156, -1, 3.\nAnswer: -1, 0, 3, 315156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 101019?\nAnswer: 3, 151, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - 3 - -7) + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -441465 or -1\/3?\nAnswer: -441465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -18 + 13. Let j(b) = -b**2 - 7*b - 6. Let m be j(k). Suppose -5*t = -m*t - 10. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2 + (-2)\/((-18)\/(-33)). Suppose -q - 1 = 0, -2*k - 3*q = -0*q + 7. Is x at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -104 divided by -2\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*z + 0*z**2 + z**2 + 43*z.\nAnswer: z**2 + 24*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((-2 + sqrt(1872)*1 - -5*(sqrt(1872)*-2)**2) + sqrt(1872)*-1 + -4 + -2)*1 + 5.\nAnswer: 37434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 2 f when three letters picked without replacement from {p: 7, i: 3, f: 8}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 5, g: 1, k: 5, w: 5}. What is prob of sequence gzzw?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.04 + 0.14. Put d, -4, 0.2 in descending order.\nAnswer: 0.2, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1 - 0. Suppose 181 = 4*n + 61. Let j = 332\/11 - n. What is the closest to 1\/3 in j, -0.3, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/(96\/6)*0. Factor 1\/5*i**5 - 1\/5*i**3 - 1\/5*i**4 + t*i + 1\/5*i**2 + 0.\nAnswer: i**2*(i - 1)**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 2 + sqrt(117) + (-1 + sqrt(117) + 1)**2.\nAnswer: 3*sqrt(13) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-20)\/25 - 21\/(-35)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 - 0. Which is the nearest to -1? (a) s (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.3 - 0.1. Let x = b + -3.6. Let d be -2 + (1 - (-33)\/12). What is the second biggest value in x, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11\/6*876\/(-14454) + (-449)\/9?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 - 1)*(-1 - 1). Let z = -12 - -15. Let r(v) = -k*v - 2*v + 5*v - z*v. Let o(n) = -5*n**2. Give r(o(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 12*w**2 - 2*w - 1. Let l be 2 - (-8 + 9)*-65. Suppose -9*o = -643 + l. What is the remainder when o is divided by d(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/(f*f*f**0))\/(f\/(f**3\/f))*f**(2\/3)\/f*f**(-4\/3))**(-4) assuming f is positive.\nAnswer: f**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 157\/(-3)*(7 + -31) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10*7234.\nAnswer: -72340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + k = 100. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3034 is divided by 1641.\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/(295\/(-5)))\/((-41)\/(-82))?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 3*f + 8 = 0. Let z = 291 + -283. Let s(u) = -u**2 + 16*u - 60. Let v be s(z). Solve -f = -0*m - v*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4672?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1 + -5)*(4 + -6). What is the highest common divisor of 48 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (sqrt(2299) + 1 - sqrt(2299)) + -4 + sqrt(2299)*-2)**2.\nAnswer: 308*sqrt(19) + 9245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (33 - -1)\/(2\/600). Round d to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -207145*v**2 + 102997*v**2 + 99133*v**2.\nAnswer: -5015*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 52 and 77389?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 6, -2063, -6, -10 in descending order.\nAnswer: 6, 2, -6, -10, -2063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -259, 0, 2, 5 in increasing order.\nAnswer: -259, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 562 + -560. Solve 0 = -2*a - 4*r - 14, -g*a + 3*a + 1 = 4*r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5278 divided by 406.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -11346.7 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 49\/46 and 56\/18598789.\nAnswer: 37197578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7 - -15. Calculate the remainder when m is divided by ((-3 - -2) + -2)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 456554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - 1 - (0 + -1) - (871 - 890).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5 - 2. Let c be (3 + 9)\/(s + -1). Let p be 2 - c - (3 + -6). Let l(m) = -3*m**2 + m + 1. Give l(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 2445, -4 in descending order.\nAnswer: 2445, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o - 3*c = 24, 1314*o + 5*c + 38 = 1317*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 6303808 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 80 and 144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5517768 and 35489.\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*m + 1831 + 6771 = 0. Is 253 != m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = 9*k - 13*k. Let p(h) = 16*h - 16. Let u be p(k). Calculate the highest common divisor of 32 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*d - 13*k = -14*k + 33, -3*d + 3*k = -9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 89 + 23 + 298 + 2*k + k**2 - 66 to x + j*k**2 + v*k and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v - 2*v, 0 = -4*a - 5*v + 24. Let h be 4\/a*9\/2. Solve 6 = -h*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 17*t - 1191. Suppose -20*z + 265 + 925 = -3*z. Determine y(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 428407\/80 + -5355. Let j(o) be the third derivative of 1\/160*o**6 + b*o**5 + 0*o - 7*o**2 + 11\/32*o**4 + 0 + 5\/8*o**3. Find i such that j(i) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 11 + 7. Suppose 0 = -3*y + 2*f + n, 5*y - 4*f + f = 30. Differentiate -x**2 + 45*x - 45*x + 0 + y with respect to x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 12*t**2 - 2*t - 2. Let s = -18 + 16. Calculate the remainder when v(s) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(119) + sqrt(119) + sqrt(119) + (-5*(sqrt(119) + sqrt(119)*-3 + sqrt(119) - sqrt(119)) - sqrt(119)) + sqrt(119))\/(sqrt(63)*5))**2 + -2.\nAnswer: 2423\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 2*o**2 - 393*o + 7035. What is m(20)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 995*n + 39801. Calculate c(-40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -0.6*81094\nAnswer: -48656.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 3*y**2 + 14*y - 67. Let o be g(3). Suppose -15 = -6*r + 3*r. What are the prime factors of o + 1\/r + 3896\/20?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -79*a - 333. Determine d(0).\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 1 * 8307.1255\nAnswer: 8307.1255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -15*d**3 + 2*d**4 - 6*d**2 + 3*d**2 + 10*d**3 + 9 + 5*d**3 in the form f + q*d**3 + n*d**2 + s*d**4 + w*d and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 888 = -w + 5*w, 186 = -f + 2*w. Which is the second biggest value? (a) -1\/12 (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 346 divide 230385830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -5 - 2 + 1 + 5 - 6*u in the form t*u + l and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor g**3\/2 - 14*g**2 + 53*g\/2 - 13.\nAnswer: (g - 26)*(g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n + 8900. Does 23 divide x(-57)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 64997*j - 64992*j - 5*f = 10, -4*j + 14 = -f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -380 = -4*c + 12*u, -28*c - 1077 = 336*u - 332*u - 3297 for c.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be -4 - (524*(-5)\/(-10))\/(-67). Let w = p + -43\/268. Which is the third smallest value? (a) -0.3 (b) 0 (c) w (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 12) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -22828 divided by 1756\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15*(-2059)\/725*((-55)\/(-3))\/(-11).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(1\/3))**39\/(j**15)**20 assuming j is positive.\nAnswer: j**(-287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 20*w**2 - 139*w + 145. What is j(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*u**2 + 5*u**2 + 12*u**2 + 4*u**2.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -54 + 37. Suppose 4*w + 3*p + 34 = -55, -5*w + 2*p = 117. Let i = z - w. Solve -3*u = -2*y + i, -3*y - y + 12 = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = -6, -3*q = a - 13 + 1. Let b = a + -82. Let d = b + 71. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**2 - h. Let s be d(2). Let x(f) = -f**3 + 2*f**2 - f + 1. Let r(g) = -12*g + 5*g**2 - 2*g**3 + 1 + 52*g + 44*g - 87*g. Determine s*r(n) - 5*x(n).\nAnswer: n**3 - n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -6345, -6315, -6247, -6123, -5925, -5635?\n\"Answer: 3*u**3 + u**2 + 6*u - 6355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1065332\/3 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 501455227?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -18098221, -18098235, -18098249?\nAnswer: -18098263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -159 - -148. Let q(u) = -u**2 - 7*u + 47. Calculate the smallest common multiple of 120 and q(k).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 119*a - 833. Let r be i(7). Solve 10*l + 60 - 110 = r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5688361, 11376723, 17065093, 22753477, 28441881?\nAnswer: 34130311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4*(0 + (-15)\/(-160)) + (-1161)\/(-360)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*p = -21*p - 420. Let j be (-520)\/p - 4\/7. Let z(r) = -r - 3. Give z(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*m**2 - 2440385430*m + 496290087246357075.\nAnswer: 3*(m - 406730905)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h + h = 2*x + 6, 2 = 5*x - 4*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 5, -21, -47, -73, -99, -125?\n\"Answer: -26*a + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.951655 nanograms to milligrams.\nAnswer: 0.000005951655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -39 != -79\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/5 of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o + 30 = -g + 8, -44 = -0*o + 4*o + 135*g - 134*g for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = k - 8, 0*k + 7 = k - 4*w. Calculate the lowest common multiple of (16\/6)\/(-4) - ((-102)\/(-18))\/(-1) and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.002628226883 to 7 decimal places.\nAnswer: -0.0026282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -283\/650, 0.1, -4\/7, 4 in decreasing order.\nAnswer: 4, 0.1, -283\/650, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 15 (c) -3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -611871 - -55?\nAnswer: -611816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 6*g**2 - 5*g**3 + 5*g + 10*g**3 - 5 + 15*g**3 - 23*g**3. Let v(l) = 0 + 0*l + 4*l + 5*l**2 - 3*l**3 - 4. Give 4*r(p) - 5*v(p).\nAnswer: 3*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.01, 1\/5, -4, -2\/15.\nAnswer: -4, -2\/15, -0.01, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -33 (base 4) to base 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 2. Let l(u) = -u + 8. Let a(r) = -3*r + 25. Let p(o) = 6*a(o) - 21*l(o). What is 18*c(g) + 2*p(g)?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 22358 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Subtract 366136 from -2854427.\nAnswer: -3220563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 0 + sqrt(320) + (sqrt(320) - (sqrt(320) + sqrt(320) + sqrt(320) + 0 + 4)))**2.\nAnswer: 64*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -5, 7048822, 137 in ascending order.\nAnswer: -5, 0, 137, 7048822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 1.2 times 4\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = i + 128. Suppose -3017 + 439 = -7*t + 334. What is the highest common divisor of i and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 58 - 31 = 0. Find the second derivative of -j*a + 10*a - 4*a**3 + 5*a**3 - 12*a**3 wrt a.\nAnswer: -66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the second derivative of -d**5\/20 - d**4\/3 - d**3\/3 + 6*d. Is k(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7529849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is a3 + -6?\nAnswer: 9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -28\/369 and -46\/3713.\nAnswer: 1370097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (14 + 6*v - 14 + (-4 - 3 + 6)*(v - 5*v + 2*v))*(v - 1 + 2 - 2*v) - 3*v + 2*v**2 + 3 - 5*v**2 + 4*v.\nAnswer: -11*v**2 + 9*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -76 + 131*r - 116 + 192.\nAnswer: 131*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 216 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the third derivative of k**4\/24 + 17*k**3\/6 + 2*k**2 + 11. Determine j(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from lloowloqlyllellqwyqo.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a**3 - 27*a**2 - 154*a + 8. Let i be c(-8). Solve i = -11*n + 23*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 58\/9 and 10*(344\/(-220) - -2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l + 708*m - 704*m = 0, -l = -5*m + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-1\/4)*d)\/(d\/d**(-1\/5))*(d**(-1\/4))**(2\/19) assuming d is positive.\nAnswer: d**(-181\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -130122 (base 4) to base 12.\nAnswer: -1076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.175426 + -133.825374. Let s = l - -134. What is s rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2383018522 to the power of 1\/2, to the nearest integer?\nAnswer: 48816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2.3 - -2. Let v be -1 + 1*(1 - -2). Which is the third biggest value? (a) s (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 smaller than 2\/6159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15412907.\nAnswer: 15412907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 12203213 + -1?\nAnswer: 12203212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 14) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -493, -488, -473, -442, -389, -308, -193?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5434 - -15323113?\nAnswer: 15313235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c be -2 + (2 + -3 - -2). Let p(z) = -2*z + 6. Let q be p(4). Let h = -4 - q. Is c > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 4685*s**3 + s**2 - 9*s**2 - 4684*s**3 to the form b*s**3 + t*s + m + w*s**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) be the first derivative of -5*x**4\/6 - x**3\/6 - 8*x - 13. Let c(g) be the first derivative of k(g). What is the second derivative of c(f) wrt f?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 22*o - 22*o + 25*o**2 to the form d*o**2 + j*o + r and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 50 a factor of 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qma when three letters picked without replacement from qzmmzamaar?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*((sqrt(180) + -3*sqrt(180) - sqrt(180) - sqrt(180)) + sqrt(180) - sqrt(180)) - -3*sqrt(180)*-5)\/((sqrt(64) + -6*sqrt(64))*-3*-1))**2.\nAnswer: 81\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 95154859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -115 (b) -4 (c) 1\/1006\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 15*z + 3. Let w(j) = j**2 + 22*j + 22. Let x be 86\/(-4) - (-2)\/4. Let b be w(x). Let h be g(b). Solve 3*q - 3*o = -h, 3*q + 3*o + 0*o + 12 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (10\/220*-4)\/((-62)\/(-465))\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 62 divided by 1538?\nAnswer: 31\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 6*a + 5*a - 3*a. Let x(r) = r + 1. Let u(b) = -b**2 + 9*b + 6. Let c(j) = -u(j) + 5*x(j). Let w be c(4). Give p(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -7 * 188622.71.\nAnswer: -1320358.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i\/(i**4*i)))**49\/(i\/i**9*i**(-3)) assuming i is positive.\nAnswer: i**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {d: 5, n: 4, m: 1, l: 6}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r. Let d be g(0). Suppose 2*l = -3*c - 2*l + 17, 3*c - 3*l - 3 = d. Let f be 3\/(c\/3) - 3. Solve f*k + 2*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from ygyggggyx.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 15058636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(272)*2)**2 + 0.\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 44958923?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14495764?\nAnswer: 2, 17, 213173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2732515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5005112 + 124?\nAnswer: 5005240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -476 - -475.9787. Let k = -0.018 - v. What is k rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -7*p**2 + p - 7. Let h(b) = 4*b**2 - b + 4. Let r = 116 - 86. Suppose -3*f - r = -5*t, -5*f - 22 = -4*t + 5*t. Calculate f*h(v) - 3*a(v).\nAnswer: v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 46 = 7*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 173\/12 + 235\/(-94) and -67\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19354?\nAnswer: 2, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 3 (b) -0.1 (c) -0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*h + 11670 = 2310. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 9*a**2 + 4*a - 3. Let u be y(-3). What is the greatest common divisor of u and 13233?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 13 - 10. Sort 4, 5, n in increasing order.\nAnswer: n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes before 4:48 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r + 3*r - 12. Suppose -y - r = -f, -4*f - 3*y - 2*y = -6. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-335 + 6 - 102)*(-2 + 2 + 3*c + c**3) to the form v + m*c**2 + x*c + h*c**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) + 1)**2 + 1)*-2.\nAnswer: -18 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -6*j**2 + 16*j - 16. Let n(l) = l**2 + l - 1. Determine -5*f(p) + 80*n(p).\nAnswer: 110*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*y - 38041 - 2*y + 3*y + 38041.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 1, 0, -5, 22, 64 in descending order.\nAnswer: 64, 22, 6, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6 + -2. Find s, given that -6 + 32*s**3 - 73*s**2 + 17*s**2 + 48*s - 10 + s**5 - 9*s**z = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u**2 + 51*u - 156 = 0 for u.\nAnswer: 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + 5 - (-6 + 16) - (-9 + 16 + 73).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 29920460 and 825392.\nAnswer: 119681840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*q - 5*i - 2312, 5*q + 25*i = 20*i + 5780. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -u - 1. Let h be k(-6). Is h + -2 + (-90)\/(-2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 7*l**2 - 7. Suppose 0 = -5*o + 10*o + 25. Let z(n) = 3*n**2 - 3. Let k(w) = o*z(w) + 2*c(w). Differentiate k(s) wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -3*c**2 + 0*c**2 + c**2. Let k(r) = 2*r. Let d(y) = 2*y. Suppose 36 = 5*s + 4*j, 0 = -3*s + 7*j - 2*j - 8. Let p(b) = s*k(b) - 3*d(b). Give p(n(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 + 539?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 553 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 - 2. Let f be 7\/(8\/7 - j). Let n = f + -33. What is the greatest common factor of n and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - 2) + (-1 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add together -28596603.28 and -0.08414.\nAnswer: -28596603.36414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 136 divide 34037944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -36274, -145042, -326294, -580006, -906154, -1304714?\n\"Answer: 4*k**3 - 36266*k**2 + 2*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3094698*p**3 - 3*p - 523088 wrt p.\nAnswer: -18568188*p","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Solve -4950*l + 4948*l + 18 = -4*h, -5*h = 3*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*i - 17*i - 24*i**2 - 398*i**2 - 14*i.\nAnswer: -422*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p be (27 - 29) + (-8)\/((-1)\/1). List the prime factors of -1*346*(-6)\/p.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 9, p: 7}. Give prob of sequence eeep.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -15, -6, -1, 5, 3, -23 in increasing order.\nAnswer: -23, -15, -6, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8028*c + 8028*c - 16066*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((f**(-4)\/f)\/(f**15*f))\/((f**(-2\/5)*f)\/(f*f*f**15*f*f*f)))**14)**3 assuming f is positive.\nAnswer: f**(-336\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 7 = 3*r + 8, 0 = 5*r - 2*p - 10. Suppose r*q - 3*q - 12 = 0. Sort -5, 5, 4, q in decreasing order.\nAnswer: 5, 4, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-299 - 32 - 423 - 182)*(-y + 0*y + 4*y)*(-10 - 11 + 9) as k*y + p and give k.\nAnswer: 33696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.5 from -1.84060141.\nAnswer: -2.34060141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -15*j - 1. What is s(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 148, 167, 206, 271, 368, 503, 682?\n\"Answer: v**3 + 4*v**2 + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 121110 - -12111012021220?\nAnswer: 12111012220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -o**3 - 41*o**2 - 418*o - 178. Give y(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 103 + -3 - (-1939 + 1986).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 285835, 571669, 857505, 1143343?\nAnswer: 1429183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -a + 5*c, -4*a + c + 0 - 7 = 0. Suppose -1 = 3*i - 4. What is the remainder when 4 is divided by (2 - (i + a))*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:46 PM and 11:02 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -2*o + 5*k, 8*o - 5*o - 2*k = 19. Suppose -9*i + 6502 = -o*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 951755.6 nanograms?\nAnswer: 0.0000000009517556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 147198?\nAnswer: 2, 3, 24533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.0235 in -1\/4, -0.8, 0.5, -1\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 25 = 109. Let y = k - 25. Suppose -y*o = -11*o + 576. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0\/(4*(-3)\/(-12)). What is the second smallest value in 2\/5, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 97*459\/385866*(16\/6)\/(-1).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 31*i**2 + 8*i + 11. Calculate the remainder when w(-2) is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 139.1881 years?\nAnswer: 0.1391881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i - 39 = -5*d, 1351*d - 28*i - 114 = 1346*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -352 - 357 - 356 + 1058 - 53*g. Let j(y) = 26*y + 3. Calculate 3*d(a) + 7*j(a).\nAnswer: 23*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -92 = y - 25*r, -299*r = -298*r - 5 + 2 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 6\/8267 (b) -181 (c) -2\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -77\/20350336 and 13\/2225818?\nAnswer: 142452352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1753 times 10785\nAnswer: 18906105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -162, -605, -1344, -2379?\n\"Answer: -148*t**2 + t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -8*h**2*z**2 - h**2 + h*z**3 + 8*h*z**2 - 3*h*z + 189*h wrt z?\nAnswer: -16*h**2 + 6*h*z + 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -1647 divided by -47\nAnswer: 1647\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -22*s**2 + s + 32*s**2 - 21*s**2 + 7 - s**3. Let l be a(-11). Put -7, -1, l in descending order.\nAnswer: -1, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(209)\/(sqrt(11) - sqrt(88)\/(2*sqrt(8))) - (sqrt(1539) + -1)**2*3.\nAnswer: -4620 + 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Subtract -132308872368 from 0.048.\nAnswer: 132308872368.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 2*s**2 + 5*s. Let q(y) = -2*y**2 - 6*y. Let c = 10 + -23. Let m = c - -18. Suppose 0 = -9*x + 78 - 24. Calculate m*q(f) + x*u(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 2*t + 9 = 5*k, 2*t + 2*k - 2 = 0. Let i(d) = -d**2 - 2*d - 1. Let u be i(t). Solve u = 5*x - 2*b + 10, 10 = -2*x - b + 3*b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0 + 0 + (-2)\/(-3). Let d(f) be the first derivative of 3*f - f**2 - a*f**3 + 3 + 1\/4*f**4. Determine d(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 20 + 407 = -2*h, -5*h = -30. Solve -g*p = -122*p + 55 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 39 + 2 = -5*o, 11 = o + d. Solve -o = 7*z + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 42*q. Let d(v) be the second derivative of -v**3\/6 - 3*v + 1. Calculate r(d(n)).\nAnswer: -42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 8581248 a multiple of 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b be (7\/2 + -2)*6. Is (-201)\/(-2)*6\/b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in sixty-nine halves of a millennium?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 40 and 740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*j + 2*y + 0*y + 12 = -28*j, 2*j + 27*y = 3*j - 136 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + -3 + 4 + (4 - 17).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -709 - 705 - 268*b**2 - 707 + 2120.\nAnswer: -268*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 59\/3 (b) -0.2 (c) -2\/191\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 3839701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19419?\nAnswer: 3, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = -685 + 677. What is the smallest common multiple of 48 and 3128\/138 + d\/3?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -0.05 (b) 4 (c) -1 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/8*-2 - (-28)\/80. Let s(c) be the second derivative of -3*c - 1\/3*c**3 + f*c**5 - 1\/6*c**4 + 0 + c**2. Factor s(i).\nAnswer: 2*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, 0.4, -3\/4, 9634, 9 in ascending order.\nAnswer: -3\/4, -0.4, 0.4, 9, 9634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:53 PM and 7:53 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -420038 divided by 308\nAnswer: -210019\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 700755?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 360085712.\nAnswer: 2, 7, 459293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = -23 - -24. Which is the second biggest value? (a) -1\/10 (b) s (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*c - 10 = -2*b + 22*c, 2*b = 5*c - 22. What is the closest to b in -3, 0.9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 62583 (base 11) to base 13.\nAnswer: 32689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**(-1\/4))\/j*((j\/(j\/(j*j**(-5))))\/j)\/j assuming j is positive.\nAnswer: j**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*a - 9*a = -158122 + 30898. What is the highest common factor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 12 + 30867?\nAnswer: 30879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 8\/1940213 or -1?\nAnswer: 8\/1940213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t = 7480*q - 7483*q + 3, 41*q = -4*t + 41 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f**3 - f**2 - 5*f - 4. Let x be j(-1). What is the biggest value in 0.4, -48, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -877, 548, 2923, 6248, 10523?\n\"Answer: 475*g**2 - 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2*(1*8 - 2). Find the common denominator of -35\/18 and (72 - -2)*(-1)\/x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20\/6*(-72)\/(-60).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.03291202 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/((-1016)\/127 - (-139)\/2).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -0.4, -7, 452, 5, 2\/15, 95\/8?\nAnswer: 452","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pfp when three letters picked without replacement from ppppfppf?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by -230681.\nAnswer: 2\/230681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -c**2 + 20*c + 802. What is w(40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(1\/15)*f**(2\/49)*(f**13)**(-49) assuming f is positive.\nAnswer: f**(-468116\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-439)\/3951 + -6*570\/(-162) + 1*2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(153)\/(sqrt(441)*2 - sqrt(441) - sqrt(9)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 12, 4, -1, 6, 0.275 in increasing order.\nAnswer: -1, 0.275, 4, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 62846.06 litres?\nAnswer: 62846060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64 = -2*u + 6*u + 4*h, -4*u = 3*h - 60. Solve 2*i = -i + u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1010.909774 + -527.90887. Let p = l - 483. What is p rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -3*j**3 - 3*j**2 - j - 2. Let i(q) = 16*q**3 + 14*q**2 + 4*q + 11. Let g(k) = 2*i(k) + 11*m(k). Let l be g(-4). Put 4, -1, l, -2 in decreasing order.\nAnswer: 4, -1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 29564, 29618, 29672, 29726, 29780?\n\"Answer: 54*h + 29510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the third derivative of 599*v**5\/20 - 1147*v**2 + 1. Let y(g) = -2*g. Calculate y(i(p)).\nAnswer: -3594*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101 + 1010011001000?\nAnswer: 1010011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p + 3*w - 96, -48 = -p + 2*w - w. Solve -12 = 12*n - p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -i**2 + 2*i**2 - 29941 + 29952 + 2*i**2 - 3*i. Give l(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 558948699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -r**3 - 5*r**2 + r + 4. Let f be v(-5). Let i = 681 + -1461. Let m = i - -779.6. Which is the third smallest value? (a) m (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 446251393 to the nearest integer?\nAnswer: 21125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, o: 2, x: 1}. Give prob of picking 1 o and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2 - -4. Calculate the remainder when 216\/21 - (-10)\/(-35) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 784 divided by 392\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 2*(-15)\/80*(-20)\/(-30)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (2\/24)\/(47\/2113308)?\nAnswer: 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1154*w = -1151*w - 3*a - 33, 0 = 3*w - 4*a - 41 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*a - 23*a = 4*x - 7, -x + 5 = 3*a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 47 + -27. Suppose -4 = -4*a + h. What is the tens digit of 3\/a - 93\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -b + 14, 6 = 2*b - l - 25. Calculate the remainder when 58 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1352\/11 - 2\/11*m**2 - 104\/11*m.\nAnswer: -2*(m + 26)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.6, -1\/3, -0.5, 29 in increasing order.\nAnswer: -0.6, -0.5, -1\/3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -4*s + 10. Determine r(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z**2 + 5*z + 8. Let k be t(6). Solve -b = -k*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4 + 9. Let l be (8*15\/160)\/((-1)\/(-8)). Let x(w) = -46*w - 4*w**2 + 3*w**3 + 4*w**3 + 44*w - 3 - l*w**3. Give x(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3 + 1. Let p be (4 - -2) + -2 + g. Solve 3*i + 11 = p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1876789, -1876851, -1876945, -1877071?\nAnswer: -1877229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -0.5*1.96\nAnswer: -0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6\/4)\/(6\/376). Suppose -73 = -3*w + g, -3*w - v = -7*w + 2*g. What is the greatest common factor of 78 and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 17 = -3*c + 411, 2*c + 5*p = 339. Calculate the highest common factor of c and 11932.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -25*z**2 + 0 - 4 + 106*z + 7*z**4 - 104*z + 4 as t*z + s*z**3 + o*z**2 + q*z**4 + b and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -11*q**2. Suppose 0 = 38*n - 19*n - 76. Let g(f) = -33*f - n*f + 16*f. Determine h(g(z)).\nAnswer: -4851*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = l + 129, -m + 132 = -3*m - 2*l. Let a = 181 - m. List the prime factors of a.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -956*g + 224 + 19 = -713 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*c - 2*c - c + (2 + 0 + 0)*(c + 4*c - 3*c) + 2*c - 1 + 1.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -476264 - 75?\nAnswer: -476361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 2*f = 15. Suppose -5*q + 0*q = 0. Suppose q = 2*h - 7 + 1. Solve h*p - 6 = 0, 0*p = 3*z + f*p - 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = -2*d, -3*a + 3*d = a. Suppose 2*t - t = a. Suppose -7*b + 12*b - 115 = t. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2133\/297 - (-2)\/(-11) is divided by 2 - (-2 + (1 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4.6 (b) 2\/9 (c) 21 (d) -27 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:24 AM and 11:10 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 14780 and 10?\nAnswer: 14780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 77120.\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 37422018 to the power of 1\/2, to the nearest integer?\nAnswer: 6117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 150767006 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -134*z = -213*z - o + 398, -3*z + 3*o = -6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1 - -867474?\nAnswer: 867475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -902 take away 0.5?\nAnswer: -902.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 80937 and 6256.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from clcculuccncncuc. What is prob of sequence ccl?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -95 - -91. Let z(v) = 5*v**2 - 4*v**2 - 4*v - 2*v - 8. List the prime factors of z(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:46 AM and 1:25 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = t + 3*b, -3*b - 12 = -3*t - 0. Let k = 22\/3 - t. What is the third smallest value in 0.1, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 = -4*l + 5*l + 5*j, 20 = 4*l + j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 6 - 7 = u, -10 = -2*n. Factor -b + 19*b - 3*b**u + 7 - 22.\nAnswer: -3*(b - 5)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1306.\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*b**2 - 216080*b + 13628916.\nAnswer: -4*(b - 63)*(b + 54083)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1223877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 50 and 1338630.\nAnswer: 6693150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 62*c = -38 + 38 + 744 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:23 PM and 8:37 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-42)\/8)\/7 + 2\/24. Sort -1, 0, j, 0.2 in decreasing order.\nAnswer: 0.2, 0, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o - 3. Let w be h(-6). Suppose w*b - 29 - 70 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64*g - 97*g = 118*g - 604. Solve -g*z + 4 = 5*f, 3*z + 37*f - 34*f = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*k**3 - 5*k + 3*k - 25686*k**2 - 2 + 25669*k**2 to b*k + l*k**2 + s + o*k**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 23 + -20. Let f be (23 + -49 - -32) + 4\/12*-17. Let -y - f*y**d + 1\/3 + y**2 = 0. Calculate y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the first derivative of a**4\/4 + 2*a**3\/3 - 3*a**2\/2 - 2*a + 2308. Let g = 1 - 4. Determine d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -7 - -4. Let p = -0.142 - -62.142. Let k = 57 - p. What is the third biggest value in c, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2 - -1) + (0 - 5). Is 15 a factor of (k - -3) + 123 + -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-2)\/(40\/(-570)))\/(3\/2). What is the highest common factor of 1330 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = -2*f - 0*f. Suppose -6*b + 11*b = 660. Let m be 4\/14 - b\/168. Which is bigger: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.26086 minus 8240?\nAnswer: -8240.26086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 63*y + 263. Let v(d) = -56*d - 263. Let c(u) = 5*m(u) + 4*v(u). What is the first derivative of c(h) wrt h?\nAnswer: 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = -3*b, 0 = -5*u + 5*b - 35 - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 238 is divided by 129.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -3*k**3 - k**2 - 2*k - 3. Let n be (-1 + 3)*(0 - 1). Let j be z(n). Is 18 a factor of (-7)\/(1 - 24\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 9 (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3\/(-5) - 39\/(-15). Suppose -s*p + 157 = -37. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u**3 - 3*u**2 + 3*u - 3. Let g(f) = 3*f**2 - 2*f + 2. Suppose 9*h = 5*n + 7*h + 8, 0 = -n - 2*h - 4. Determine n*o(v) - 3*g(v).\nAnswer: 2*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 21437863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*v**2 + 19*v - 12*v + 14*v to the form o + c*v + g*v**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = j - 0*j. Suppose -j = -5*y + 2. Suppose -w = -5*q - 17, -5*w - 3*q - 2 + y = 0. Calculate the highest common divisor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k = 4*k + 3*i - 4, -6 = 3*k - 2*i. Let v(m) = -m**3 - 4*m + 2. Let f(b) = -b**3 - 8*b + 5. Calculate k*f(h) + 5*v(h).\nAnswer: -3*h**3 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 596*j**2 - 8238*j - 1484 = 0. Calculate j.\nAnswer: -53\/298, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 137*q = -7*q. Let d(y) be the first derivative of -4*y**2 + q*y**4 + 0*y + 0*y**3 - 28\/5*y**5 + 20. What is the second derivative of d(h) wrt h?\nAnswer: -336*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13 + 9 - 23 - 29*q + 2 - 2 - 2*q + (-2 + 3 - 3)*(-2*q - 2 + 2) + 2*q - 3*q + 0*q + q + 3*q - 6*q to l + i*q and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 976819, 976816, 976813, 976810, 976807?\nAnswer: 976804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (828\/92)\/(-9*(-4)\/184)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-40)\/(-45) - (-16)\/(-72)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 14*n**3 + 14*n**2 + 7*n - 95. Let k(x) = 7*x**3 + 6*x**2 + 3*x - 48. What is 7*k(b) - 3*z(b)?\nAnswer: 7*b**3 - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q**2 - 24*q - 51. What is o(26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 2\/17 (b) 1\/113 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -673*y - 361*y - 22*y + 5280 = 0. Suppose 8\/3*r**3 + 0 - 8\/9*r**2 + 2\/9*r**y + 14\/9*r**4 - 32\/9*r = 0. What is r?\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhhhyhyhhyhhhhhyhyh. Give prob of sequence hyyy.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -52\/17 and -48\/589?\nAnswer: 10013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/((-2)\/((-1)\/(-1))))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 7925 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: Simplify (g\/g**(-7\/4))**37*(g**(-1\/28)*g)\/((g\/g**26*g)\/g*g*g) assuming g is positive.\nAnswer: g**(880\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2470086707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be (64\/40)\/((-2)\/(-20)). What is the common denominator of 3 - (-4)\/(b\/(-93)) and 82\/24 + 6\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 182189 and 1666.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -15.3 - 16.7. Let r = g - -32.0000011. What is r rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1186156053 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/(-16)*5\/10*-1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e, 1 v, and 1 a when three letters picked without replacement from acaccvvevcve?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -9840.1642 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 64680703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -18935 - -5977. Which is smaller: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 - ((-8 - 0) + (-7 - -11))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -51 - -558\/11. What is the biggest value in -1\/7, 5, 2\/9, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -344 + 351. Solve -5*b = -3*b - 3*k + j, 2*k = -b + 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(300) + sqrt(300) + -4)**2 + (sqrt(27) + -1)**2.\nAnswer: -166*sqrt(3) + 1244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) be the third derivative of 472267*w**4\/24 + 21*w**3 - 102*w**2. Let x be v(22). Round x to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 976249 - 976640 = -17*k for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 87 = -2*q - 2*q, 4*q = -3*i + 63. Calculate the smallest common multiple of q and 208.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.001, 4, 0.08, 0.1994 in ascending order.\nAnswer: -0.001, 0.08, 0.1994, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -7*o**2 + 8*o + 100. Let r(s) = s**2 - 2*s. Let n(v) = c(v) + 5*r(v). Let t(m) be the first derivative of n(m). Give t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - (-8 + 0 - -7)) + (-33 - -18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -353 = 4*o + 2*l - 351, 3*l = -2*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + ((5 + sqrt(704) + -3 + -1)**2 + -5)*-1.\nAnswer: -702 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -939 (base 11) in base 2?\nAnswer: -10001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -15 + 10 - (2 + (4 + -5 - -2))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 386 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 40*b + 2407. Calculate v(-79).\nAnswer: -753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19 + 88\/(-8) + (32 - 39).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*u**2 + 0 + 8*u**2 + 0.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 865 - 865. Solve -5*x + f + 3*f - 16 = r, -2*x + 4*f - 16 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3075537413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3571 + 1692. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-4)\/2)\/(12\/3))\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -30823 - -30820. Suppose -3*i = 5*w - 4, 2*i + 0*w - 4*w = 10. Suppose 0 = i*y + 2*y + 5. Is y smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u*u**1)\/u)**(1\/10))**(-2\/45)*u**3*u\/(u\/(u**6*u))*(u\/u**(2\/5))**(5\/4) assuming u is positive.\nAnswer: u**(9671\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxxxxxxoa. What is prob of sequence oaaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1849 = 12*q - 253. Which is smaller: -135 or q?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*h + 7 - 12. Let n(x) = x**2 + 12*x - 10. Let s be n(-13). Suppose j = s*j. Which is the third biggest value? (a) h (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 75 - 73. Let r = 0.2 + 2.3. Let k = g - r. Which is the second biggest value? (a) k (b) -1\/8 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6977 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 156 minutes after 9:48 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 - -13)*-8*8\/(-96). Let m(p) = 3*p - 13*p + v*p + 5*p. Let a(f) = 6*f**2. Determine a(m(d)).\nAnswer: 54*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (4*n - 2 + 2)*(-4 + 6 + 9) - 2*n - 4*n + 1 - 3 in the form a*n + k and give a.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1581, 3190, 4827, 6492, 8185, 9906?\n\"Answer: 14*b**2 + 1567*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -107\/20 + -1069\/60. Find the common denominator of i and 35\/12 + (5 - 8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = 6*d. Suppose 3*v = 5*v - 4*u - 84, -4*v + 4*u + 152 = d. Let 9 + 42*t**3 - 9 + 4*t - v*t**4 + 10*t**5 - 22*t**2 = 0. Calculate t.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b - 2*c = -2, -15957*b + 25*c - 128 = -15971*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*v**2 + 5*v - 72*v**2 + 60*v**2 - 5*v.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = 3*n + h - 117, 2*n = -2*h + 54. Solve -t - 4*t - n = -2*z, 16 = -4*t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -9193, -17401, -25605, -33805, -42001, -50193?\n\"Answer: 2*g**2 - 8214*g - 981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = m**2 - 2*m - 3. Let t be l(3). Suppose t - 1 = 5*b + 2*o, 0 = 5*o + 15. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:03 AM and 6:34 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) be the second derivative of -k**3\/3 + 7*k**2\/2 - 3*k. List the prime factors of p(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2 + 6. Let j = y - 4. Suppose 5*n - 20 = -j*n. Solve -2*v = -n*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 = -123*f + 126*f + 2*w, 13*f - 4*w - 59 = 22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -46981430*i**2 - 28577*i - 298 wrt i?\nAnswer: -93962860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -c + 15. Let d = 23 + -11. Let z be v(d). Find the third derivative of 2*o**2 - 3*o**2 - 2*o**6 + z*o**6 + 3*o**2 wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 984*i - 51347. What is d(52)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 125 + -73. Suppose 2*u - 3*u = 2*b - 20, 5*b - t = -2*u. Let m = 43 - b. What is the remainder when m is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 672*y**2 + 1008812*y - 1008812*y.\nAnswer: 672*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 3 - d + 2 - 1 - 1. Let f be u(-7). What is the second derivative of -10*g + 30*g**2 - f*g**5 - 30*g**2 wrt g?\nAnswer: -200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 120*x - 67*x - 55*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 13260 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 8389123 times 0.3?\nAnswer: 2516736.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - -2 - (-14 + 5 - -13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 8898453?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = g**3 + 5*g**2 - 6*g + 3. Let m be p(-6). Differentiate -2*y**3 + 1 + 1 + 0*y**m with respect to y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 719716655.\nAnswer: 5, 7, 83, 35393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(57)\/(-3*sqrt(3)) + (1 + sqrt(19) + 2 - sqrt(19) - (sqrt(38)\/(sqrt(4)\/sqrt(2)) + sqrt(19))) + 5.\nAnswer: -5*sqrt(19)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 0 - 9*v + 364*v**2 - 342*v**2 - 2 + (2 + 1 - 4)*(v - v - 2*v**2) in the form o*v**2 + a*v + n and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 7\/101406964?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 43*p - 1862. Calculate k(43).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 292 minutes before 6:50 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 28125560 to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w + 5. What is the remainder when 37 is divided by i(14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -0.4 and -494 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find o such that -28*o**5 - 104*o**4 - 108*o**3 - 16*o**2 + 16*o = 0.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 96.0785cm in micrometers?\nAnswer: 960785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**3 - 6*m**2 - 4*m + 5. Let w be f(-5). Suppose 0 = -w*b + 4*b. Let d be b - 4\/(-3 + 2). Solve 2*z + 9 = c - 2*c, d*z - 2*c = -6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4007271 is divided by 3163.\nAnswer: 2913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-216)\/72 - (-5)\/((-5)\/(-2212))?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that -j**3\/6 - 2125*j**2\/2 = 0.\nAnswer: -6375, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-354)\/((-43)\/(1720\/(-240)))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 12) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1b899 (base 13) to base 5\nAnswer: 3213311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 0.5 (b) -13\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19102 is divided by 52?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.10986 + -10.89014. Let t = -0.4 + -0.1. Sort n, t, -3 in increasing order.\nAnswer: n, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(2\/13))**39 assuming c is positive.\nAnswer: c**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 27720 and 21375?\nAnswer: 13167000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = -c - 21, 2*m - 2*c - 4 - 22 = 0. Let p = -3 - -7. Calculate the smallest common multiple of p and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*sqrt(33)\/(sqrt(6)\/sqrt(2)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -x + 11*x + 0*x. Let m(j) = j**3 + 4*j**2 - 3*j - 12. Let g be m(-2). List the prime factors of i(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 625 minutes after 3:40 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - g + 3*q + 4 = 0, 0 = -4*g + 5*q + 12. Suppose -3*r - 22 = -2*a, 0 = 3*a - a - 4*r - 24. Let h = a - g. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes before 8:33 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 400*m - 362*m = 18324398. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8 + 86\/129*(-91203)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1144 and 161920.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 395 is divided by 179?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -n**2 - 2*n. Let x be z(0). Suppose 12 = 3*t, -2*q + 2*t + 82 - 22 = x. Suppose -2 - 25 = -3*o. Calculate the remainder when q is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 3 + 2)*(-2*y**4 - 2*y**5 + 2*y**4) + (11*y - 11*y - 2*y)*(3*y**4 - y**4 + 0*y**4).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 2*v**2 - 6*v**2 + 2*v**2 + 14*v**2 - 37*v + 37*v + (0 + 0 + 2*v)*(-2 + 2 - 2*v) as l*v + y*v**2 + q and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-13 + (-1 - -4))*(-19)\/(-2). Let p = s - -215. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k - 4*n - 2 - 4, -n + 12 = 4*k. Calculate the highest common divisor of 6 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43092189 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = t + 2*z - 11, -3*z + 4*z - 3 = 0. Suppose -2*r + 60 = 3*r. Let c = 19 - r. Solve 2*k + 33 = t*g, -g = 3*k - 0*g + c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nty when three letters picked without replacement from bynqjyt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eaaszdk. Give prob of sequence ddz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 2\/100945?\nAnswer: 2\/100945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -t**2 - 11*t - 18. Does 5 divide v(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -9 - -8.99. Let t = m + 0.01. Let k = -0.07 + 0. Which is bigger: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**2 + 159*p - 2723. Determine l(140).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6 and 304590?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q + 313 = 15*c, -3*q = 20431*c - 20429*c - 39 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -25 or -482\/19?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2877 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -730, -793, -856, -919, -982?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.0207 - 4.3193. Let y = -96 - -95.12. Let p = y - o. Round p to 1 decimal place.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**6*u\/u**(4\/3))\/((u*u**(-2\/5))\/(u\/u**0)) assuming u is positive.\nAnswer: u**(91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - ((10 - 3) + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -0.1, 0.5, -1, -752, -5 in decreasing order.\nAnswer: 5, 0.5, -0.1, -1, -5, -752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that b**3 - 266582*b**2 + 17767823516*b - 177651577960 = 0.\nAnswer: 10, 133286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 2*u**2 + 3*u - 2. Let z(t) = -7*t**2 - 13*t + 9. Calculate -26*p(c) - 6*z(c).\nAnswer: -10*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 273200 to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 36, 67, 98?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (47*b + 59*b + 79*b)*(0 - 2 + 0) + 2*b + 0 + 0 to v + j*b and give j.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 52 - 162. Let h = -862 + 1048. Let i = h + d. Calculate the remainder when i is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.3, -46.9, 0?\nAnswer: -46.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -107\/39974 and 95\/1518?\nAnswer: 119922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/10 - (-2)\/10. Let q(r) = r + 4. Let b be q(v). Solve -j**3 + 1\/2*j**5 - 1\/2*j**b + j**2 + 1\/2*j - 1\/2 = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -5*20\/1575*105\/30\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 4 times -31\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -260, -258, -256, -254, -252?\n\"Answer: 2*j - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4980, 4228, 3472, 2712, 1948, 1180, 408?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 314 is divided by 87.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 839546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**2\/9 + 701*l + 81358.\nAnswer: -(l - 6423)*(l + 114)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Let w = -21.7 + 21.6. Sort -4, w, 0.5, -5 in decreasing order.\nAnswer: 0.5, w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-214)\/5)\/((1\/6)\/(195\/117)*4)\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/((-6)\/4*1\/3). Suppose -3*o + 12 = -3*y, -2*y + y + 3*o - 8 = 0. Let f = x - y. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -0.4, -126, 1 in descending order.\nAnswer: 1, -0.4, -2, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 3 a when four letters picked without replacement from aocacoocoaocccoocc?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u**5\/5 + 28*u**4\/5 - 76*u**3\/5 + 22*u**2\/5 + 77*u\/5 - 10 = 0. Calculate u.\nAnswer: -1, 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -22 + 24. Suppose -g*h - 5*v + 19 = 0, h - 3*v - 17 = -8*v. What is the smallest common multiple of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from {a: 2, z: 1, s: 1, q: 1, v: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 863.96 - -50.\nAnswer: 913.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are 0.14 and 18 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 65 + -54. Let w(p) = -3*p**3 + 74*p**2 - 77*p + 110. Let f(y) = -y**3 + 25*y**2 - 26*y + 37. Let u(z) = 17*f(z) - 6*w(z). Let r be u(18). Is r > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 18049952 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sum -470020588858045 and 0.1.\nAnswer: -470020588858044.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 194 minutes after 1:32 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 16878 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2474 + 145. Does 97 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q**3 - 29*q**2 + 124*q - 97. Let z be v(24). Sort z, 4, 4114, 2.\nAnswer: z, 2, 4, 4114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -365*h + 373*h + 232. Let u(i) = -i**3 + 7*i**2 + 7*i - 10. What is the remainder when u(7) is divided by (348\/h)\/((-12)\/3 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*h**2 + 2*h**2 + h**2)*(-h + h - 25*h**3).\nAnswer: -75*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10469.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -14*14\/(-343)*-7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -2891\/3, 0.3, -1\/2 in increasing order.\nAnswer: -2891\/3, -1\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 67555.35cm to micrometers.\nAnswer: 675553500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 60783 - 24240. Let r = h - 36549.9989. Let d = 7 + r. Round d to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z**2 + z + 1. Let a(w) be the third derivative of -w**4\/24 + w**3\/6 - 3*w**2. Suppose -4 = 47*f - 43*f. Give f*a(l) + b(l).\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange a - 12*a + 4*a + 6*a + 22769 - 8654 to the form t*a + d and give d.\nAnswer: 14115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k + 4. Suppose -4 = -5*a - 19. Let p(i) = -i**3 - 2*i**2 + 4*i. Let v be p(a). Determine w(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -2*u**3 - 6*u**2 + 18*u + 49. What is the hundreds digit of q(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -46\/3 and (2232\/16)\/(4 - (-392 + 3)).\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = a - 5. Let j be s(4). Let x be (27\/63)\/(j\/(-7)). Suppose -y + 40 = y + x*z, 4 = -z. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the first derivative of 8*q**5\/5 - 73*q**4\/4 + 416*q**3\/3 - q - 2566. Find the third derivative of x(r) wrt r.\nAnswer: 192*r - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m\/m**17*m**(1\/27)*(m**(-4\/15)*m)\/m*m**(6\/13) assuming m is positive.\nAnswer: m**(-27673\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2258 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be -374*((-25)\/2)\/5. Suppose -5*p + v + 485 = 0. What is the common denominator of -109\/22 and -1 - -2 - p\/56?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -142093, -284185, -426277?\n\"Answer: -142092*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-34)\/14 + 2 - (-12848)\/154. Suppose -v = -2*t - 67. What is the least common multiple of t and ((-18)\/(-4))\/((-1)\/(-2))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 2175, 2176, 2177, 2178, 2179, 2180?\n\"Answer: f + 2174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 62519 and 619?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o + 18*m - 12*m = 5*m + 5*m - 60, m = 3 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/8*(7 - 1). Let z = -1816 - -1814. What is the third biggest value in z, -1\/4, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**3 + 3*g**2 - 1. Let o be v(-2). Suppose l - 5*l - 72 = -4*z, 3*z - 59 = 4*l. Solve o*j + 6 = -2*f - 1, 2*f = -5*j - z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 82*o**3 + 10*o**2 - 12*o + 20. What is the ten thousands digit of p(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from {n: 2, s: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2*-3.6.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -90085 times 0.13?\nAnswer: -11711.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3789 + 3866. Let d(t) = -5 + 0*t - 4*t + 6*t. Let h be d(8). Calculate the highest common factor of h and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the first derivative of -35*u**4\/12 - 40*u**3\/9 - 5*u**2\/6 + 39. Solve l(y) = 0 for y.\nAnswer: -1, -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(17) - (sqrt(51)\/sqrt(3) - sqrt(17))**2*5) + (2*sqrt(136))\/sqrt(8).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 454 + 65739*q**2 - 454.\nAnswer: 65739*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 124417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 8081354?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 - (3 - -9 - (-22 - (-18 + -14)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (-1 + -1 + sqrt(13) - sqrt(13) - ((sqrt(325)*-2 - sqrt(13)) + sqrt(13))))**2.\nAnswer: -80*sqrt(13) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - (-57 + 57)) + (10 - -1 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 1063, 2, -1.\nAnswer: -4, -1, 2, 1063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**3 + 4*f**2 - f - 4. Let q be s(-3). Suppose 10*x - 128 = q*x. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 + -23302?\nAnswer: -23242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -3565*v - 378 = -3592*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x + 11. Let l be v(-5). Which is bigger: l or -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -26, -113, -334, -755, -1442, -2461, -3878?\nAnswer: -5759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -14*i + 14. Let l = -756 - -761. Let x(n) = -17*n + 15. Let h(o) = l*c(o) - 4*x(o). Let z(t) = -t**2. Give z(h(y)).\nAnswer: -4*y**2 + 40*y - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1467620 and 127974?\nAnswer: 1219592220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (70\/(-56))\/((-30)\/(-18)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 31*(-6439)\/(-37882) + (5 - 75\/10)?\nAnswer: 36\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 187, 182, 175, 166, 155, 142, 127?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*x - 19*x + 26*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**3 + 27*r**2 - 57*r + 29. Let n be y(-29). Sort 3, n, -0.3, -2\/13 in decreasing order.\nAnswer: 3, n, -2\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l and 1 d when three letters picked without replacement from {s: 1, r: 1, d: 6, l: 3, a: 1}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*y**3 + 2*y**3 - 5*y**3 + (-6 + 4 - 2)*(-7*y**3 + 4*y**3 - y**3).\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -53*g - 392. Give k(-9).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**2 - 4*z + 18. Let q be x(8). Let l be (q - (-2 - 4)) + (-1 - 0). Let n = 36 + l. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/4, -2, -4, -2596, -27.\nAnswer: -2596, -27, -4, -2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of -2270.81 and -70.\nAnswer: 158956.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the third derivative of 0 + 7*w**2 + 2\/105*w**7 + 0*w**6 + 0*w + 0*w**5 + 0*w**3 - 1\/24*w**4. What is the second derivative of r(n) wrt n?\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 86 and 350794.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 1111*m - 3379 = -46 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 378 and 2042829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*l - 27*l**3 - 4*l + 9*l + 41*l**3.\nAnswer: 14*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -11*u**3 - 2*u**2 - 3*u - 4. Let d be i(-2). Suppose 4*n + 3*q + 260 = -d, 5*q + 262 = -3*n. Let m = n + 141. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -2*i - 8. Let t be w(-4). Suppose t = 3*n - 3*c - 12, 4*n - 1 + 9 = -2*c. Let h = -1 - 2. Sort n, 1, h in decreasing order.\nAnswer: 1, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 x when three letters picked without replacement from xuxouuxxooxxoaxax?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 48 and 70032?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 593, 2383, 5367, 9545?\nAnswer: 14917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -650.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) be the third derivative of -w**6\/60 - w**5\/15 + w**4\/24 + 2*w**3\/3 - w**2. Calculate the remainder when y(-3) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 414 minutes after 4:49 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-73)\/((-66430)\/156)*((-30)\/(-9))\/(5\/(-40)).\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) -4 (c) 95 (d) 42 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 2*m**2\/7 + 171116*m\/7 - 7875568\/7 = 0. Calculate m.\nAnswer: -85604, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -84e - -347?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (480\/10)\/(((-100)\/150)\/(1\/3))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 132960\/27377 - -2\/3911. Let a(b) = -b**3 - 3*b**2 + 2. Let n be a(-3). Calculate the common denominator of u and ((-14)\/6 + n)*5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d + d + 10 = 0. Suppose 0 = 3*p + 3896 - 3905. Solve -5*m + d*g = -30, -5*g + 3*g = p*m - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) 2\/15 (b) -6\/11 (c) 94\/13 (d) 29\/3 (e) -1 (f) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -618 - -58075. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7919978?\nAnswer: 2, 11, 599, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 313 = -276*c + 1417 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9 + 5. Let y = 0.191 + 86.809. Let j = -89 + y. What is the closest to -2\/5 in -0.4, v, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the first derivative of 0*b**2 + 0*b + 165 - 10\/3*b**3. Let z(q) = -16*q**2. Give z(s(i)).\nAnswer: -1600*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 3*l**2 - 6 + 0 - 2*l**2. Suppose -2*j - z - 25 = -6*z, 5*j - 2*z = -10. Determine s(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*i**3\/9 + 4312*i**2\/3 + 1110538*i + 229437780 = 0. Calculate i.\nAnswer: -5610, -429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.071788 in 1\/11, 7, -1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(2 + -6*(4*(1 + sqrt(192)) + sqrt(192) + sqrt(192) + (sqrt(192) + sqrt(192) + 1)*4))**2.\nAnswer: 123648*sqrt(3) + 2713736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 18 + -15. Solve i*z = -4*p - 0*p - 6, -3*p + 2*z + 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -139030 divided by -5?\nAnswer: 27806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k - 15 = 9*u, 4*k - 3*u + 8*u = 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -14434.0006359 - -14434. Round x to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 12092.18 to the nearest 10.\nAnswer: 12090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -17 - (7 - 11) - (3 - -5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -6 + 559*c - 559*c - 19*c**3 + 6*c**2. Let j(z) = -64*z + 775. Let r be j(12). Let m(q) = 20*q**3 - 7*q**2 + 7. Calculate r*d(h) + 6*m(h).\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 11526052, 11526051, 11526050, 11526049, 11526048?\nAnswer: 11526047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 302 or 355?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*k - 6973 + 6997. Let z(u) = -14*u**2 + 3*u - 2. Let y(p) = 5*p**2 - p + 1. Calculate k*z(s) + 17*y(s).\nAnswer: s**2 + s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 1 - 2)*(-4*u**3 - u**3 + 3*u**3 + (u + u + 0*u)*(-u**2 + u - u))*(5*u + 4*u - 5*u) in the form r*u**2 + i*u + d + j*u**3 + p*u**4 and give p.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, l: 1, i: 9, y: 2}. What is prob of sequence ly?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6 - 5 - (1 - 3). Suppose x = o - 3. Let w = -5 + o. Which is greater: w or 1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the second derivative of 2\/5*w**2 + 0 - 11*w + 1\/60*w**4 - 2\/15*w**3. Factor j(y).\nAnswer: (y - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yvjmjjmmjvvqm. What is prob of sequence qymm?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5.5 - 1.5. Suppose 5*n - 30 = 3*z, 3*z = -4*n - 2 - 1. Which is the nearest to 3\/4? (a) t (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(20) - -4*sqrt(180))\/(-3*sqrt(4)*6 - sqrt(4) - sqrt(4)) + 5*(1 + sqrt(80))*-1 + -5)**2 + -5.\nAnswer: 413*sqrt(5) + 178169\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*b + 3*b - 2*b)*(-13*b**3 - 8*b**3 - 3*b**3).\nAnswer: 72*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0146 rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -21*n**5 - 1508*n**4 + 2*n**3 - 293335*n**2?\nAnswer: -1260*n**2 - 36192*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.291192105 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = 15 - 13. Suppose 3 + r = 5*y. Let h be 2\/8*-1 + 0. What is the closest to y in 1\/3, -0.3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-5\/3)*i*i*i*i**18*(i*i**(-2\/13))\/i**(7\/8) assuming i is positive.\nAnswer: i**(6023\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4409309*r**2 + 15284140.\nAnswer: 8818618*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n - 2*j = -83 + 47, j = 4*n + 63 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4298 divided by 505?\nAnswer: 4298\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5048 - 3820. Calculate the remainder when j is divided by 77.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.06153 + 1338.\nAnswer: 1337.93847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 3 - ((-2 - -5) + 0 + 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1001210101 + -101?\nAnswer: 1001210000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u be -5 - ((-126)\/12 + 5). Suppose 12 = -41*l + 35*l. Which is the closest to 1\/4? (a) -2\/9 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the first derivative of -3*z**4\/22 - 8*z**3\/33 + z**2\/11 + 4*z\/11 + 2. Suppose j(d) = 0. Calculate d.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = 2*o - 53. Suppose 3*q + 5*a + 16 = 4*q, -2 = a. Calculate the remainder when o is divided by (-258)\/(-18) + (-2)\/q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -2*-6*9\/6. Suppose -3 = 3*q - y. Let t(l) = -l**2 + 9*l - 2. Calculate t(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i**5\/5 - 162*i**4\/5 + 538*i**3 + 21882*i**2\/5 - 115776*i\/5 + 91368\/5 = 0. What is i?\nAnswer: -94, -9, 1, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -27*q**2. Let x(b) = 7*b**2. Determine x(i(m)).\nAnswer: 5103*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-33)\/(-4)*16\/72*6. Let b(l) = -l**3 + 15*l**2 - 5*l - 63. Does 61 divide b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 26124 - 626837\/24. Find the common denominator of (37\/32)\/(2\/4) and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2143 and -1.2.\nAnswer: 2571.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes after 6:47 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 100211 + 1?\nAnswer: 100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -74 + 437 - 127 - 147\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-10)\/2)\/(2*(-4)\/8). Suppose 4*c - 93 = u*f, -2*f + 28 = 4*c - 30. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 3*b + 2. Let q be (-1 + -2)\/(-3) - -5. Suppose -2*f - 6 = q*g - 4*g, f - 22 = 4*g. Determine o(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -62115876*a**3 + 47367568*a**2.\nAnswer: -372695256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**1*x**(2\/19))\/((x*x*x**(-1\/2))\/(x*x\/(x*x**(-10)))))**(-9\/5) assuming x is positive.\nAnswer: x**(-3627\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the first derivative of 8*b**5 - b**3\/3 + 40. Find the third derivative of h(q) wrt q.\nAnswer: 960*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-14)\/(-10) + 33\/55. Suppose -4*q = 3*b + 16 - 44, -8 = -s*q. Suppose b*l - 15 = 81. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 245.56 plus -0.3?\nAnswer: 245.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**3 - y**2 + y - 1. Let n(w) = -2*w**3 + 3*w**2 - 3*w + 5. Determine 3*d(z) + n(z).\nAnswer: z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 52\/13*(-15)\/6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 2*l**3 - 2*l**2 - l - 9. Let b(p) = -83*p + 1826. Let q be b(22). Calculate c(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:32 AM and 4:48 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y and 1 p when three letters picked without replacement from dyyddgtagpdt.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 3, d: 1, r: 4}. What is prob of sequence rv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 96 + 168. Let n(v) = -8*v**2 + 5*v - 7. Let u be n(5). Let i = k + u. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4648\/40 + 12\/(-10). What is i rounded to 0 dps?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 38160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.560473 rounded to 2 dps?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v + 12, 9 = x + 2*x - 5*v. Let y be ((-4)\/(-8))\/(x\/16). Sort 5, -0.5, y in decreasing order.\nAnswer: 5, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*y**2 - 4*y**2 + 5*y**2 + 0*y - y**2 + 0*y + (1 + 2 - 1)*(-y**2 - 3 + 3) + y**2 + 0*y**2 + 0*y**2 - 2*y**2 - 5*y + 5*y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*t = -31*t - 4*v - 6, -3*t - 4*v + 54 = 0. Solve 3 = -2*a - h - t, -h - 7 = a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1 - -0.5. Let z = f - -0.501. Let i = 0 + z. Round i to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -22*c - 72. Let i(o) = 7*o + 24. Let l(d) = 5*g(d) + 16*i(d). Let m be l(-12). Factor m - 2\/5*s**3 - 2\/5*s - 4\/5*s**2.\nAnswer: -2*s*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fq when two letters picked without replacement from {d: 2, q: 11, a: 2, f: 1}?\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 585 and 100512360.\nAnswer: 100512360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/15)\/((-69)\/207)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z + 27 - 18, 0 = 4*p - 3*z - 41. Solve p*y - 5*y + 4*f - 11 = 0, 2*y = 5*f - 31 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 3*g**2 + 2*g + 94. Let s be b(0). Let l = s - 94. Suppose -12 = 4*q + 5*m, l = -3*q + 2*m - 4*m - 2. Solve 0 = -q*y - y - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -4*f - 144, -2*x + 5*f = 3*x - 385. Let j = 135 - x. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the first derivative of 0*w**2 - 1\/3*w**3 + 2 + 0*w. Let j(m) = 6*m**2 + 6*m**2 - 4*m**2 - 3*m**2. Give r(j(g)).\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8 - -1) + (-2 - -4 - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.3 (b) 2\/11 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -106901100*-1.\nAnswer: 106901100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 490168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = 15.45 + -19.84575. Let d = v - -4.4. What is d rounded to four decimal places?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = -3*w + 153*p - 150*p, p = -8*w - 68 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16\/(-26)*(-6773)\/1042?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/4, -2662, 1\/3 in descending order.\nAnswer: 3\/4, 1\/3, -2662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t be (37412720\/70)\/23 + 4\/14. Calculate the greatest common divisor of 36 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 270, 350, 572, 1008, 1730?\nAnswer: 2810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -26 - 22 = -24*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 52 - 48. Solve -x*l - l = -5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that -2*p**2 - 23162*p - 23160 = 0.\nAnswer: -11580, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 3*j**4 - 11*j**3 - 64*j**2 - 66*j. Let m(d) = -16*d**4 + 54*d**3 + 320*d**2 + 329*d. Let b(p) = -4*m(p) - 22*o(p). Factor b(h).\nAnswer: -2*h*(h - 17)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2.91 + 1.88. Let m = y + 1.03. Which is the third smallest value? (a) m (b) -1 (c) 2\/17 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -452 (base 6) in base 2?\nAnswer: -10110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2266 and 146135782.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -46*r + 188. Let k be m(4). Solve -5 = 5*n + w, -3*n - 2*w = -k*w + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -483847*l - 11. Let a be c(-13). What is a rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 552089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2396 + -2142. Calculate the remainder when m is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 20814, 41658, 62514, 83388, 104286, 125214, 146178, 167184?\nAnswer: 188238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -179 at most as big as -185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71 = -5*x - 6. Let c = x - -4. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 3*u**2 - 5. Let o be s(10). Suppose r = -3*c + o, -4*r - 174 = -2*c + r. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x = 4*c + 50, 19 - 59 = -4*x - c. Suppose 3*y - 3*i - 51 = 0, -2*y - 4*i + 28 = -0*y. Calculate the lowest common multiple of x and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/(33*(-55)\/13915)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the first derivative of 3*h**2\/2 + 1. Suppose 8*j - 70 = 2. Let o(i) = 6*i**2 + 5*i**2 - j*i**2. Determine o(w(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 258.7 - 257.2. Put 27, -1, v in descending order.\nAnswer: 27, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*q + 2*q + d - 5, 23 = -3*q - d. Let j be (-11 - q) + 22\/8. Which is the third smallest value? (a) 2 (b) -1\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) be the first derivative of t**4\/4 - t**3\/3 + t**2\/2 + t + 73. Let x(w) = 8*w - 430*w**2 + 5*w**3 + 859*w**2 + 2 - 435*w**2. Give 6*o(m) - x(m).\nAnswer: m**3 - 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = -8 + 21. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Let p = 1898 + 4041. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18063 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1 - 5) + (-3 + 13 - -41). What is the greatest common factor of f and 4410?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1428 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 446 or -92520?\nAnswer: -92520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 52866195, -3, 0 in decreasing order.\nAnswer: 52866195, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 87586 is divided by 338?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -29 (base 11) to base 4\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - 1 - (16 + (-1 - 9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = 0, 5*s - r - 2324 - 3011 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1506 + 12071\/8. Find the common denominator of t and 97\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 201862 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 1 + 3 - 3 - 3 + (-1 - 2 + 2)*(3 - 4 + 3) - 3 + 0 + 4 + 0 + 2 - 4 - 2 + 2 - 13)*(-2*r - r + r).\nAnswer: 40*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*h**3 - 111502*h - 118336 - 83044*h - 43502*h - 2756*h**2.\nAnswer: -4*(h + 172)**2*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jevj when four letters picked without replacement from {j: 2, v: 1, e: 1, x: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 131 + -63. Let q = -58.1 + w. Let u = q - 9.7. Which is the closest to 0? (a) 0 (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 0*n + 5*n - 50 = 0, -4*j = -2*n - 84. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4085, 3670, 3255, 2840, 2425, 2010?\nAnswer: 1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 102247242589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -163 + 14020*a**2 - 14019*a**2 + 2*a - 2*a.\nAnswer: a**2 - 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 2*s**2. Suppose 0 = -d - 8*d + 36. Suppose 0 = -4*w + 11 + 5. Let t(u) = d*u**2 - 4*u**2 + 8*u**2 + w*u**2. Calculate t(i(q)).\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -11412 + -1?\nAnswer: -11413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*b - 22*b = 0. Solve z + 0 - 5 = b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 - -9935166047122.\nAnswer: 9935166047122.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -4155486 (base 10) to base 13.\nAnswer: -b2658a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 35.917 + 0.083. Let o = v - 35. Let f(l) = -2*l - 2. Let k be f(-2). What is the second biggest value in -0.4, o, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8 - 4. Suppose v + 2*k + 1 = 2*v, 3*v + 4*k = 13. Let g(u) = 2*u**v - 2 - 3*u**2 + 3*u - 8*u - u**3. Determine g(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 27202 - 27197. Let n(u) be the first derivative of 5*u**2 + 6 - j*u - 5\/3*u**3. What is f in n(f) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (2\/3)\/(36\/1269) and -73\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 930*w - 54847. Determine a(59).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 16 - 30. Let s be (-594)\/14 - (270\/(-42) + 6). List the prime factors of 4\/d - 432\/s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 8195099 and 113?\nAnswer: 8195099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(5*sqrt(2) + -1))**2.\nAnswer: -250*sqrt(2) + 1275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 122a1 (base 13) to base 7\nAnswer: 166306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2401) - (sqrt(2401) + sqrt(2401)*-2))*-2*-6)\/((sqrt(84)\/(sqrt(3)*2))\/((sqrt(8) + sqrt(16)\/sqrt(2) + sqrt(8))\/sqrt(2))).\nAnswer: 1008*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (19 - 11*l**2 - 19)*(2*l + 2*l - 2*l)*(-8*l + 3*l + 3*l) as j*l**4 + y*l**2 + a*l**3 + u + h*l and give j.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 8 - 5*z + 3*z)*(-112 - 114 - 136)*(1 + 1 - 3) to the form g*z + x and give g.\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t be 60 - 9\/(-18)*2. Round t to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 127*w - 7972 = -197*w - 2140 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -445, 385, 1223, 2069, 2923, 3785, 4655?\nAnswer: 5533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -30 + (((-1080)\/48)\/15)\/((-12)\/(-16))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -25 + 44. Let g = 39 - t. Solve 4*j - 5*a + a + g = 0, 2*a + 5 = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = w + f - 0*f - 5, -w + 3*f = 15. Suppose 2*z - 6 = w, 0*h - 3*h + 6 = z. Does 10 divide h + 26 + (0 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3236 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -301230100 + -1?\nAnswer: -301230101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: What is the value of (9\/15)\/((-2)\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 + 4)\/9 - (-1)\/(-8)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 19\/((-114)\/(-24))*6. Solve 48*i - m = 54*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1119 divide 2292891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 114*k**3 - 15*k**2 - 176*k + 919. Let o(p) = 57*p**3 - 7*p**2 - 95*p + 460. Let z(y) = 13*o(y) - 7*u(y). Find the second derivative of z(h) wrt h.\nAnswer: -342*h + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 437055 = -54*k + 437865 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100 - -1011011110111111111110?\nAnswer: 1011011110111111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1067841129.\nAnswer: 3, 131, 313, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 321221222 (base 5) to base 6\nAnswer: 44544353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 30037\/33 + -911. What is the common denominator of -151\/18 and w?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:06 PM and 10:50 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 15915821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -116, -238, -360, -482, -604, -726?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 47*r - 439. Determine v(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -20.058 - -20. Let c = -7170556 - -7170556.05800037. Let r = c + t. What is r rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5230556 is divided by 9065.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 607, -23, 1, 0.4, 152?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3365*g**2 + 4863*g**2 + 6074*g**2.\nAnswer: 7572*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 17 in -3\/7, 13\/3, 0?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -352 + 352 - 13*p.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -552 + -3414?\nAnswer: -4066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2.101 + 0.499. Which is the biggest value? (a) 4 (b) i (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 9259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.2 - 2. Let b be 11*(-1)\/105 + (-24)\/(-120). Sort 4, w, b.\nAnswer: b, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -12286 or -12278?\nAnswer: -12278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 2*x = 3995. Suppose 4*p - o = x, o - 2*o - 202 = -p. Let y = p - 9. What is y rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 16452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1100 + 1110?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -95*c + 190*c - 57*c - 3*c**3 - 4*c**3 - 57*c.\nAnswer: -7*c**3 - 19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -371, -372, -373, -374, -375, -376?\n\"Answer: -c - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (5 + 6 - 3)*(-4*f - f + 3*f) + (0*f + 2 - 5 - 2*f)*(6 - 1 - 4)*(-38 - 62 + 134) as r + c*f and give r.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 70, -1702\/7, 1, -3\/4?\nAnswer: -1702\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 5*j**3 - 2*j**2 + 14*j + 18. Let b(c) = 6*c**3 - 3*c**2 + 16*c + 19. Let u(y) = 4*b(y) - 5*h(y). Let z be u(-3). Sort -8, z, -3.\nAnswer: -8, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -139230, -139228, -139226, -139224?\n\"Answer: 2*s - 139232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 161070?\nAnswer: 2, 3, 5, 7, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4.514? (a) -14 (b) 2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from utbuwjjuwwuju?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = -9.71 - 1.59. Let a = c - -11.7. Let y = 0.1 - -0.1. What is the third smallest value in a, 2\/9, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11474086901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4112174959.\nAnswer: 19, 216430261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 377?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.05 + 0.23. Let v = -0.29 + x. Let t = v - 0.39. What is the closest to -0.1 in -5, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 207334?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-122*o - 22 + 22 - 49*o)*(-150 + 75 - 97) to the form c*o + a and give c.\nAnswer: 29412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x**2 + 12*x + 16. Let t be p(13). Suppose -6*b + t*b + 9 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 54 = 5*m, -4*m + s + 22 = -11. Calculate the least common multiple of 5 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7*p**2 + 2*p + 3*p - 7*p + 3*p**2 wrt p.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 56, 0, -12, 1 in ascending order.\nAnswer: -12, 0, 1, 6, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5417 + 10889. Is b a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes after 4:26 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0 + 4\/(-1))\/(49\/(-5880)). What is the highest common factor of u and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that 5*q**4\/2 + 1205*q**3 + 7135*q**2\/2 - 11975*q = 0.\nAnswer: -479, -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 8152770877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f - 36 = -6*f. Let b = 7 - 6. Let o(l) = 7*l**2 + 4*l + 2. Let s(w) = -w**2 - w. Give b*o(r) + f*s(r).\nAnswer: r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8182516 is divided by 3666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1392.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*b + 0*b - 2*b)*(-3 + 3 - 2*b) + 1637*b**2 - 3404*b**2 + 1715*b**2 - 2*b.\nAnswer: -56*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 8*d. Determine s(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 7 - 1)*(19 - 2*h - 19) to the form g + a*h and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 5*y + 441 = 0, 2*k + 83 = 2*y + 299. List the prime factors of k.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j*j*((j*j\/(j\/(j*j\/j**(1\/5)))*j)\/j)\/j*j)\/(j*j\/(j\/j**(1\/2))))**(-3\/26))**(-1\/10) assuming j is positive.\nAnswer: j**(99\/2600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be (10\/(-8))\/((-2)\/8). What is the second derivative of -17*a + 16*a + 3*a**4 - o*a**4 wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12 - (0 - -3)) + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 1\/6 of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + sqrt(5) + (sqrt(5) - (5 + sqrt(5) + -2)))*4 - (sqrt(45)\/sqrt(81) - -4*sqrt(25)\/sqrt(5)))**2.\nAnswer: -8*sqrt(5)\/3 + 149\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 17189864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -38.9 plus 18.383?\nAnswer: -20.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -32*t**2 - 4*t + 15. Let z(g) = 2*g - 24750. Give z(p(w)).\nAnswer: -64*w**2 - 8*w - 24720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1312a89 + 0?\nAnswer: 1312a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((17\/((-306)\/135))\/6)\/(15\/(-2))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 2*u**2 + 9*u. Let q(o) = -1552*o + 2 + 1551*o - 2. Determine x(q(s)).\nAnswer: 2*s**2 - 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be -23 - 3*(-476)\/51. Solve -3*b = d*m - 35, 4*b - 15 = 4*m - 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = -4*w + 190, -4*w + 5*w - k - 48 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46896 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -5*q - 0. Let f(h) be the first derivative of 0*h**q + 3 + 5\/4*h**4 + 0*h**2 + 3*h. Find the first derivative of f(x) wrt x.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*-2*(-1 + sqrt(147)) + 2 + (-1*sqrt(147)*-2 - (sqrt(147)*-1*5 + sqrt(147))))*-3)**2.\nAnswer: -16128*sqrt(3) + 339264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 0*f - 6 = 0. Suppose -k + 16 = 3*k. Suppose n = 2*n + 5*p + 20, k = -p. Solve -5*m = -n*o + o - 20, f*o = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 89 divided by 2089599.\nAnswer: 89\/2089599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0 - -1 - (-7 - -4). Does 3 divide (-6 + y)\/((-2)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/(21\/(-1)))\/((-56)\/(-2352))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (((-131130)\/6956)\/(-93))\/5?\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/(-3)*(-1998)\/24. Let x = -28 - w. Let v = 0.3 + -0.3. Which is the nearest to x? (a) v (b) -0.1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 151*u + 223*u = -62*u + 17876. Suppose 0 = -4*m + 8, 2*b + 3*m - 5*m = 76. Is b <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 22*s**2 - 2*s - 2. Let c(v) = -v**3 - 64*v**2 + 7*v + 6. Determine 3*c(u) + 8*k(u).\nAnswer: -3*u**3 - 16*u**2 + 5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 2*h**2 + 1980*h + 48254. Give q(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**29*s*s**(-21)*s*s*s**17\/s*s*s*s**(14\/3) assuming s is positive.\nAnswer: s**(101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is ((-140)\/(-315))\/((-2)\/(-3))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**3 - 156*l**2 - 24*l - 4. Let g(q) = 4*q**3 + 624*q**2 + 108*q + 18. Let k(t) = 4*g(t) + 18*n(t). Factor k(v).\nAnswer: -2*v**2*(v + 156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -398281 + 398259.00021. Let n = -22 - t. What is n rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 38*m - 26. Give y(4).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in s**2 + 51*s + 175*s + 0*s**2.\nAnswer: s**2 + 226*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-81)\/(-15) - (-18)\/(-45). What is the second derivative of -6*o - 4*o + 3*o**s + 11*o**5 wrt o?\nAnswer: 280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) be the second derivative of -7*a**3\/6 - a**2 - 154*a - 2. Calculate i(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1 (b) 0.0035 (c) 474\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -44*j - 1 + 52*j + 0*j**2 + j**2 to f*j**2 + s*j + w and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3442\/204*(-8 + -15146483). Let q = r + 255563058. Let i = -9442\/3 + q. Calculate the common denominator of i and 39\/16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 477 is divided by 120?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 66 + -1a?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.01? (a) 0.1 (b) 1 (c) 36564\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -11*b**3 - 2*b - 2. Let f(g) = 56*g**3 - g**2 + 11*g + 11. Calculate 2*f(u) + 11*k(u).\nAnswer: -9*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be 330\/220 - 86\/(-4). Calculate the greatest common divisor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 612 (base 8) to base 6\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve w = -3*q + 266 - 244, 16 = -5*w - q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1237, -2455, -3635, -4759, -5809, -6767, -7615, -8335?\nAnswer: -8909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27216113.\nAnswer: 19, 1432427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-3)*(-270)\/18?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -127*x - 1015. Calculate a(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26766.\nAnswer: 2, 3, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the third derivative of -p**6\/120 - p**5\/60 - p**4\/24 + 2*p**3\/3 + 10*p**2. What is l(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 - -2. Let n be (v\/6)\/(2\/(-4)). Let o be (-6*6\/9)\/(-10). Which is the nearest to n? (a) o (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 65694\/71 or 926?\nAnswer: 926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.295178452 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 4*n**2. Let d(m) = -134*m**2 + 7. Calculate d(o(j)).\nAnswer: -2144*j**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -4228*d**2 - d + 3. Let b(h) = -12682*h**2 - 4*h + 10. Calculate -10*a(p) + 3*b(p).\nAnswer: 4234*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 524 is divided by 87.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*x - 11*x - 5*x.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*w**2 + 4*w**3 + 3*w**2 - 3*w**2.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 816*t**2 - 195*t - 147. Let a(f) = -71*f**2 + 17*f + 13. Calculate -57*a(q) - 5*z(q).\nAnswer: -33*q**2 + 6*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -93*s + 302 - 302.\nAnswer: -93*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 50 = 130. Suppose -f*h + 22*h = 532. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-185)\/10*(-6 - -4). Suppose k - q = -0*k. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 3, x: 1, q: 3}. What is prob of picking 1 r and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the third derivative of 7*b**6\/120 - b**5\/20 - b**4\/7 - 2*b**3\/21 + b**2. Solve j(a) = 0 for a.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1781817 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -16*c**2 + c. Let w be k(1). Suppose 48*z - 49*z = -4. What is the tens digit of z + ((-18)\/w)\/((-4)\/(-620))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/(-1)*(-36)\/24. Sort i, -7, -4 in decreasing order.\nAnswer: i, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r + 15, -n + 4*n + 2*r - 11 = 0. Let f = 189 - 177. Let l = f + n. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 82661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w be (((-9)\/18)\/(9\/6))\/(27\/243). Which is the third biggest value? (a) w (b) 27 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 2*k**3 + 6*k + 5. Let y = 1779 + -1785. Let g(j) = 3*j**3 + 7*j + 6. Determine y*x(o) + 5*g(o).\nAnswer: 3*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -1011212020 (base 3) to base 2.\nAnswer: -101101010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - -2 - (2 + (3 - 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 16316 = 8612. Let o = 8254 - i. What is o rounded to the nearest one hundred?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 117, -43, -213, -393, -583, -783, -993?\nAnswer: -1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -h**3 - 6*h**3 + 0*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 131136 divided by -4?\nAnswer: -32784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1083.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 16*g + 3*g - 95. Factor 1\/4*p**4 - 1\/4*p**2 + 0 + 1\/4*p**3 - 1\/4*p**g + 0*p.\nAnswer: -p**2*(p - 1)**2*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes before 7:00 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2.9 + 0.3. Let w = i + 0.8. Let v = 0.9 - 1. Put v, w, 0 in increasing order.\nAnswer: v, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -h + 3*h + 33*h**3 - 35*h**3 as k*h**3 + v*h**2 + i*h + w and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the second derivative of 19\/12*o**4 - 1\/6*o**3 + 2*o - 8 + 0*o**5 + 4*o**2 - 1\/10*o**6. Find the second derivative of t(y) wrt y.\nAnswer: -36*y**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1123866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*f**3 + 867784*f + 7001786.\nAnswer: 9*f**2 + 867784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((w**(-4)*w)\/w*w)\/(((w\/w**15)\/w)\/w))**26)**(10\/7) assuming w is positive.\nAnswer: w**(3380\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -13158 at most -45029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 65710165 and 3475.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from {p: 1, g: 3, i: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*k + 5*r + 35, -2*k - k = 4*r - 7. Suppose -14 = 2*l - k*w, 0 = 4*l - 5*w + 4*w - 8. Solve l + 19 = 5*p - 3*m, 0 = -3*p + 5*m + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 57*z - 201. Determine h(6).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 123*x. Let p(g) = g**2 - 2. Let r(i) = 10*i**2 - 16. Let m(l) = 8*p(l) - r(l). Determine v(m(s)).\nAnswer: -246*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 670299\/30 - 3\/(-210)*-21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence clc when three letters picked without replacement from {c: 7, l: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 278605 - 1009480 = -5*g, -w + 438526 = 3*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7833, -7835, -7837, -7839?\nAnswer: -7841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -121 - -230. Let u = n + -76. Let t = u - 2. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 44 - 41. What is the second derivative of 12*k + 12*k**u - 6*k**3 + 0*k**3 - k**3 wrt k?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -233 (b) 46 (c) -3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -3*y**2. Let g(f) be the third derivative of -3*f**7\/560 - 3*f**5\/4 - 16*f**2 - 4*f. Let k(n) be the third derivative of g(n). What is a(k(z))?\nAnswer: -2187*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3815122*t**4 - 1704*t**2 + 16*t + 28 wrt t?\nAnswer: -91562928*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -41, -1 in descending order.\nAnswer: 5, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 4*u. Let h(x) be the first derivative of 42*x**2 - 49*x - 27. Let r(o) = -7*o + 4. Let s(a) = 4*h(a) + 49*r(a). What is p(s(m))?\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 672 = -175*u + 271*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 128 + 18 = 0. Let k = -30 + m. Let d be (-4)\/k*10*1. Solve r - 2*r = d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -67*a**5\/12 + 80345*a**4\/12 - 12067133*a**3\/6 + 14146855*a**2\/6 + 15494333*a\/12 - 19734055\/12 = 0. Calculate a.\nAnswer: -55\/67, 1, 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30*a**3 + 11*a**3 + 7*a**2 - 5*a**2.\nAnswer: -19*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1208)\/(-1963))\/(4\/65).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.181 - 0.081. What is the third smallest value in h, 2, 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 148959 (base 11) in base 6?\nAnswer: 4543212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.1 + -0.3. Let p = 1527 - 1532. What is the biggest value in 4, -1\/10, p, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*l**5\/7 - 1014596*l**4\/7 - 88*l**3\/7 + 3188744*l**2 - 24350124*l\/7 - 45656820\/7 = 0. Calculate l.\nAnswer: -5, -1, 3, 253649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 76 - 387 - 5*l + 4*l**2 + 3*l - 6*l**2.\nAnswer: -2*l**2 - 2*l - 311","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 33*v**2 - 2*v - 8. Let x(f) = -2*f**2 + 2*f - 1. Calculate -a(h) - x(h).\nAnswer: -31*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 327990 and 24294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -64, 57, 252, 515, 840, 1221, 1652, 2127?\nAnswer: 2640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -5*g. Let p(n) = -222*n. Give p(z(x)).\nAnswer: 1110*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(343)*4)**2.\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 239838, 479651, 719438, 959187, 1198886, 1438523?\n\"Answer: -2*v**3 - v**2 + 239830*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 157, 173, 213, 289, 413, 597, 853, 1193?\n\"Answer: 2*c**3 + 2*c + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.02 + 2.98. Let s = 13146.8 + -13146.7. Which is the closest to 2\/3? (a) 0 (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3\/32516 - 6535569\/1593284. Let w = 9971\/2156 + f. Let u = 3\/11 - w. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -5*n. Let c be l(-4). Suppose 5*q + 0*q + 31*q + 15*q**2 + c - 8 = 0. Calculate q.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from {i: 2, x: 4, a: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 180\/420*30\/15\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 969476?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (4928\/6)\/4 - 1\/3?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 26*i + 2*i**4 - 26*i - 3*i**2 + (-5 - 4 + 5)*(3*i**3 + 3*i**4 - 3*i**3) + i**4 - 1 + 1 to s*i**4 + d*i**3 + j + h*i + z*i**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is e + -1?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 2*o**2 - 362*o - 8488. Determine t(202).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 489 - 485. Solve -z + 6*z - t*d = 0, 5*d = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n**4 + 922288*n**3\/5 + 737802*n**2\/5 - 2029012*n\/5 + 368912\/5 = 0.\nAnswer: -92228, -2, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 19*-8\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 5*d - 42. What is the remainder when 22 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most -2\/909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 209 divide 80962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -106*q + 545. Let j be v(5). Solve 2*m - s - 2 = 0, -14*m = -j*m + 5*s - 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 7*z + 48. List the prime factors of h(18).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -127, -5, -17, -4, -1 in descending order.\nAnswer: -1, -4, -5, -8, -17, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 19512 and 25853400.\nAnswer: 25853400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 7 - 9)*(4*h + 0*h - 2*h + (-2 + 1 + 3)*(-h + 6*h - 3*h) - h + 3*h + 0*h + 0*h + h - 3*h) + 0 + 0 + h.\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/40*16\/42*15.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 30515 by 359.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 78371?\nAnswer: 109, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*t**3 - 10 + 25 - 15.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify n*n**(-1\/13)*n*n**(3\/10)*n*n assuming n is positive.\nAnswer: n**(549\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y**3\/5 - 452*y**2\/5 + 4*y\/5 + 452\/5 = 0. What is y?\nAnswer: -113, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Multiply -143294 and 5.\nAnswer: -716470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 160 = -3*s, -3*b + 98 = -2*s - 2*b. Let z = 172 - s. What are the prime factors of z?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/18*18\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(2\/31)\/(d*d**3))**(-23\/6) assuming d is positive.\nAnswer: d**(1403\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -51*w + 489166 - 489217. Suppose -4*p - 15 = 5. Put 87, w, p in ascending order.\nAnswer: p, w, 87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -7923622*x**5 - 17*x**2 - 94170 wrt x?\nAnswer: -475417320*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-6)\/(-13) + 6104\/(-25506). Which is the fifth biggest value? (a) 1 (b) 0 (c) -1 (d) 0.1 (e) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2170 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: What is the closest to -0.07 in 0, 2\/7, 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 l and 1 j when four letters picked without replacement from ljjljyyylyyl.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 846 divide 456964125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 782, 2953, 6324, 10691, 15850, 21597?\n\"Answer: -34*p**3 + 804*p**2 - 3*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -44 + 66. Let m(n) = -2*n + r - 21 + n + n**2. Determine m(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 7937 - 982149.\nAnswer: -974212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -59*p + 43*p + 36*p in the form s*p + u and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the first derivative of -z**3\/3 + 268. Let t(v) = -8*v - 7. Let o(r) = -r - 1. Let k(q) = -14*o(q) + 2*t(q). Calculate u(k(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mdmm when four letters picked without replacement from mdmddddddddddmd?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 11\/705 and (20\/(-24))\/((-1739)\/185*(-410)\/(-32)).\nAnswer: 28905","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/(-8)*(12\/(-18))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 606 - 287. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -2*v - 2. Let m be u(-5). Let z = 12 - m. Suppose -4*d + 14 = 5*q - 3, 0 = z*q - 4*d - 28. Solve f + 0*l + 19 = -3*l, 0 = l + q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(6)\/(2*sqrt(3)*2))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the second derivative of -y**4\/12 - y**3\/3 + 13*y**2\/2 + 36*y. Let h be v(2). Solve 10 = h*d - 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-3))\/((-39)\/936)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 6*l**3 - l**2 - 4*l - 2. Determine b(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is ((-122212)\/(-8))\/(-3 + (-21)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*g**2 + 10*g - 10*g)*(-2 + 4 - 3)*(-4*g**3 - g**3 + g**3).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d**2 + 12*d - 49. Let c be o(-15). Let z be ((-45)\/10 - c)\/(-1). Factor 0 - 2*s**4 + 3\/2*s**3 + 0*s + z*s**2.\nAnswer: -s**2*(s - 1)*(4*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58*k + 48*k = -20. What is the third smallest value in 1, k, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -106862 - 106867 - 106860 + 320589 - 35*t.\nAnswer: -35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -l + 781 - 395 - l**3 - 399 - l**4 to the form x*l + y*l**4 + z*l**3 + m + b*l**2 and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 36043721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-58)\/(-12) + 2\/12. Suppose w + 11 = -3*n + 37, -3*w - 62 = -k*n. Let c be (7\/5)\/(2\/n). Solve c*j = 4*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.005 * -0.4\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1127965.\nAnswer: 5, 433, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 2, z: 1, r: 1, s: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 10260562369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2055 + -1917. Let v(m) = m**3 - 4*m**2 + 3*m - 6. Let g be v(4). What is the greatest common divisor of g and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 2, f: 4, s: 3, h: 4, z: 3, j: 1}. Give prob of sequence tssh.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -15*r**2. Let x(o) = -2*o - 1. Let p(l) = -57*l + 2. Let j(d) = -p(d) - x(d). Determine h(j(b)).\nAnswer: -52215*b**2 + 1770*b - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5046*c**2 - 7203*c**2 - 12979*c**2 - 2501*c**2.\nAnswer: -17637*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 141 divide 10139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-2*37)\/(-44 - -960) and -85\/18.\nAnswer: 4122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 15*b**2 - 7*b + 11. Let x(l) = -17*l + 162. Let m be x(9). Is i(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 3554\/129, -381 in increasing order.\nAnswer: -381, -1, 3554\/129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*k**2\/8 - 33*k\/4 - 837\/8.\nAnswer: 3*(k - 31)*(k + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 81341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4695 is divided by 299.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*f - 28*f = -7715. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2404.253 take away -0.2?\nAnswer: -2404.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n**3 - 22*n**2 + 20*n + 14. Let l be z(21). Let s(t) = -75*t - 8. Is s(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 112 = 3*n. Let v = n - -115. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5\/2, 55, -17.3.\nAnswer: -17.3, 5\/2, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -8 - -9. Let n = -5.23 - -5.4. Let k = n - 0.07. What is the nearest to z in 4, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-4 - -1) + 5)*(-91)\/2. Which is bigger: -90 or u?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13540128 + c**3 + c**3 + 13540128.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes before 1:48 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sum -11.579 and 54.\nAnswer: 42.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1460 not equal to 1474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -281\/554 - -2\/277. Let b = -96 + 105. What is the smallest value in k, -2\/9, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 178 + -114. Suppose 2*g = b + 28. Calculate the remainder when g is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 4, q: 8, v: 4}. What is prob of sequence qqr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -469683\/631 or -744?\nAnswer: -744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) 2\/3 (b) -5 (c) -0.041 (d) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is ((-181458)\/(-4) - -1)*(-5 + 7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 321 - 316. Suppose -c*l + 1036 + 49 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2340171?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 374977 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 355 and 193546.\nAnswer: 967730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 2243 (base 10) in base 8?\nAnswer: 4303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 762, 700, 530, 198, -350, -1168?\n\"Answer: -9*o**3 + o + 770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) -28.5 (b) -0.2 (c) 1\/2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -76*d. Let t be l(-5). What is the tens digit of (t\/(-30))\/(1\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -12*i - 7. Let h(z) = -25*z - 13. Let s(d) = 7*g(d) - 3*h(d). What is the derivative of s(c) wrt c?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r**3 + 2*r**2 - 2*r + 1. Let v be w(1). Suppose v*c + 2 = c. Let f be c\/5 - (-301)\/35. Solve h - f = 4*h + 2*o, -h - 4*o = 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 3) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -24*b*j*p**3 - 218*b*j*p**2 - 5*b*p**3 - 33*b*p - 2*b - j*p + 8*p**2 - 13 wrt j?\nAnswer: -24*b*p**3 - 218*b*p**2 - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6 + 8. Calculate the greatest common factor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the second derivative of 1301*x**3\/2 + 4520*x**2 + 2*x + 5721. What is the first derivative of q(t) wrt t?\nAnswer: 3903","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -8, 114, -411 in ascending order.\nAnswer: -411, -8, -4, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3281*l - 3249*l + 14 + 18 = 0. Which is the closest to l? (a) -2\/3 (b) -6778 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2081 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (180\/(-27) - -6)*(6 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2685\/602 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is ((-10*(-2)\/(-25))\/(-76))\/(1\/5)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 454468.\nAnswer: 2, 7, 16231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, v: 2, s: 1, y: 2, w: 1, x: 1}. What is prob of sequence wx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1641 + 1699. Calculate the greatest common factor of n and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:00 PM and 12:27 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 908696, 1817397, 2726100, 3634805, 4543512, 5452221, 6360932?\n\"Answer: l**2 + 908698*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -16910155*r**2. Let p(m) = m**2. Determine p(k(j)).\nAnswer: 285953342124025*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4830*q - 9651*q + 4777*q.\nAnswer: -44*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + (17 - (16 + -8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 5*c**2 - 44*c - 444 = 0. Calculate c.\nAnswer: -6, 74\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes before 9:22 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 3670*x - 3668*x - x**2 + 2*x**2. Let r(v) be the first derivative of -v**2\/2 - 152. Determine d(r(a)).\nAnswer: a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 20555099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 11 + -5 + (-12 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102 = p - 67. Let i = p + -85. Let s be (1 + 0)\/(((-14)\/24)\/(-7)). What is the highest common divisor of i and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1220 - -1726. Let s = g + -500. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 49 and 133357?\nAnswer: 933499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -11222111 (base 3) to base 16\nAnswer: -e2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -49895508, -1, 5, 0 in increasing order.\nAnswer: -49895508, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.2*-55229.39.\nAnswer: -66275.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n**2 + 4*n + 2. Let u be o(-4). Suppose -3*y - 5 = 2*y. Let p = y - -4. Solve p*l - 3*v - u*v + 1 = 0, 5*l + 8 = 2*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) be the first derivative of 1\/2*x**2 + 6 + 14*x. Does 4 divide w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*g**3 + 2*g**3 - 6 + 6.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - ((-16 + 8 - -6) + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 136, 3\/73, 2 in ascending order.\nAnswer: -5, 3\/73, 2, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the first derivative of -k**3\/3 + 11*k**2\/2 + 29*k + 179. Let w be l(13). Solve 0 = -w*o - o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(-1) + -1 + -117. Calculate the remainder when (v\/(-20))\/((-3)\/(-15)) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -35*i - 64*i - 96*i to a*i + j and give a.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -58*d**2 - 378*d + 445. Give a(-12).\nAnswer: -3371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 56964 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: Simplify ((k**0\/k*k)\/(k\/(k\/k**(-3))*k))\/(k*k**(1\/3)\/k)**(2\/11)*k**0\/(k**4\/k)*((k*k*k\/k**(1\/3)*k*k)\/k)**(-24) assuming k is positive.\nAnswer: k**(-2939\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -48.1 times -20584?\nAnswer: 990090.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 55*y**3 - 15*y**2 - 16*y - 12. Let f be ((-144)\/6)\/(6\/(-4)). Let g be a(f). Let k = 129172 - g. Round k to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 59*k**4 - 26838*k**2 - 494*k**4 + 26838*k**2 + (1 - 1 - 1)*(k**4 + 6*k**4 - 2*k**4).\nAnswer: -440*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 0.15, 5, -4.2 in decreasing order.\nAnswer: 5, 0.15, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -937.94108 + -0.12?\nAnswer: -938.06108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -22 = 3*h + 4*i + 14, 0 = -2*h + i - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 23 - 3 = 0. Let j(k) be the third derivative of 1\/5*k**5 + 0*k + k**2 - k**g - 1\/60*k**6 + 0 + 8\/3*k**3. Find z, given that j(z) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1262317690?\nAnswer: 2, 5, 126231769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l**3 - 4*l**2 + 6. Let h(u) = 2*u**3 - 5*u**2 - 1149 + 1162 - 3*u**2 + 0*u**2. Give 6*h(i) - 13*y(i).\nAnswer: -i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 13140069 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k be 5 + -7 + -1 - (-1 - -2). Let y(p) = -p. Let s be y(0). Let g be (6\/(-3) + s)*k. Solve g = 4*u, -3*i + 0*u + 5*u = 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.9139977 minutes in hours?\nAnswer: 0.015233295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*t - 34*t + 450 = 5*t. Let v(k) = -k**3 + 3*k**2 + 6*k - 2. Let m be v(4). Solve m*c = t*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 - 14648002\nAnswer: -14647998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 3.819 to 1 decimal place.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -26 (b) 1 (c) 0.2 (d) 454\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in eleven tenths of a micrometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 93*j**2. Let r(s) = 2*s**2. Calculate f(r(b)).\nAnswer: 372*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -65319836 + 392844161\/6. Let q = w - 154538. Let a = q + 336. Calculate the common denominator of a and -59\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -101 + 89. Suppose 3*o + 33 = -3. Let w = o - d. Solve 5*f + 14 + 1 = w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the second derivative of -o**4\/6 + 91*o**3\/6 + o**2 - o - 6. Find the second derivative of q(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2343)\/(-123) + (-1394)\/28577.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.39? (a) 2 (b) 965 (c) 0.4 (d) 2\/9 (e) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 74 and 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 26 (b) -2\/5 (c) -4 (d) 2.4 (e) 57 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -2*j**2 + j - 7. Give h(5).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*k**5 + k**5 - 5*k**5 + (2 - 2 - k**2)*(-k**2 + k**2 + 2*k**3) + 2*k**5 + 8*k**5 - k**5.\nAnswer: 6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 14543.069 - 14555. Let a = z - 0.069. Let t = 61\/30 - 11\/6. What is the third biggest value in -2, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1236359223*w**3 + 110623645*w**2 + 5*w wrt w.\nAnswer: 7418155338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -105.6*-0.1092\nAnswer: 11.53152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 98 + f**2 - 34 - 29 - 35. Let k(h) = 72*h**2. Give m(k(z)).\nAnswer: 5184*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (182\/(-42))\/((-2)\/6) + 1560\/(-26)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -224*a + 399 = -223*a. Let j be 38\/a - 750\/(-63). Solve -j = w - 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 9693 - 9657. What is the greatest common divisor of a and 2547?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*c**2 - 5*c + 5*c.\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 62*n - 4. Let g(y) = y. Calculate g(l(r)).\nAnswer: 62*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the second derivative of 3*w**5\/10 - w**4\/6 + w**2 - 1028*w. Let d(l) = l**2 - 1. Determine 6*d(h) + 3*m(h).\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -70390 (base 10) to base 4\nAnswer: -101023312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h = 5*h + 162. Suppose -3*i - h = -3. Let p = 51 + i. Solve -2*j - 20 = -3*c - c, -5*j + 5*c = p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 13*q**2 + 7 - 7 + 4 - 3.\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -12.357677 times -4\nAnswer: 49.430708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1120 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*n**2 + n**2 + n**2 + (-2 + 4 - 5)*(-n**2 + 1 - 1))*(-4*n**2 + 2*n - 2*n).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 972 and 1524582?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d + 3 = -g - 0*g, -6 = d + 2*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0 - -6*(-3)\/6. Let f = b + 11. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -56\/11, 9\/4, 5\/2 in increasing order.\nAnswer: -56\/11, 9\/4, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, -1.7, 31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3 + 2 + -1 + 152. Let j = 248 - i. Suppose 3*n - j = 2*z, -3*n + n - 5*z = -93. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/a**22)**10\/((a**15*a)\/((a*a*a\/(a*a**(-3\/7)))\/a)) assuming a is positive.\nAnswer: a**(-1572\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = h**3 + 11*h**2 + 12*h - 18. Let d be l(-10). Let i = -33 - d. Is 2188\/i + 39\/(-65) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - v + 3 = 0, -5*v = 3*t - 4*v - 1. Let k be ((0\/(-1))\/(-2))\/1. Let r = -0.2 + 0.1. What is the closest to r in t, -1\/10, k?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 4, -224, 67 in descending order.\nAnswer: 67, 4, 0, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47 - 23 - 41 - 21 + 139 + 35*z.\nAnswer: 35*z + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -3*f**3 - 2*f**2 - f - 3. Let o be (-10 - -11) + (-3 - 0). What is the tens digit of z(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 5823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1042*p**2 - 33*p**3 + 1042*p**2 + (0*p**2 + 3*p**2 - 2*p**2)*(-3*p + 4 - 4) - 2*p**3 - p**3 + p**3)*(2 + 3*p**2 - 2).\nAnswer: -114*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 + 21 = 3*s - t, -s = -3*t - 12. Let p = -8 + 12. Calculate the highest common factor of p and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 30 = -5*c. Let k(w) be the second derivative of 0*w**2 - 3\/20*w**5 + w + 0 - 1\/4*w**4 - 1\/30*w**6 - 1\/6*w**c. Factor k(r).\nAnswer: -r*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f*f\/(f*f*f*f*f**(1\/2)))**(1\/11)*(f\/(f**(-3)\/f))**(-22))**(-34\/7))**(10\/9) assuming f is positive.\nAnswer: f**(412250\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 286442397 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 26 - 10. Let b = t - 1. Calculate the greatest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s + 1. Let b(t) = 52*t**2 - 2*t + 2. Let l(p) = 2*b(p) - 4*f(p). Let w(m) = 2*m. Determine l(w(q)).\nAnswer: 416*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 56081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**2 + 6*v - 3. Let z be q(5). Suppose 0 = 4*i - 0*i - z. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-1)\/y)**(-3\/31)*((y\/y**(-9\/4))\/y)\/(y\/y**(3\/2)) assuming y is positive.\nAnswer: y**(365\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = -21045 + 21049. Solve 5*k + 4 = -r*m + 2*m, -8 = 4*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d + 18*d + 6613 = 6421 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 2 - 22*w - 6 + 15 - 7.\nAnswer: -22*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 3*l - 32. Let v be b(11). Let g be (-334)\/(-51) - 2\/(-2). Let r = g + -23\/3. Is v smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 869?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 26275872*w**2 - 344*w + 26829 wrt w?\nAnswer: 52551744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.08 in -3\/4, 5, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 812 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5)\/20)\/(6\/8)*15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -4.7*13\nAnswer: -61.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -11322023 (base 5) to base 10.\nAnswer: -104638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 4123\/(-589)*10\/(-1295)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9 - 5. Suppose -v = l*v - 25. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -342, -388, -474, -606, -790, -1032, -1338, -1714?\nAnswer: -2166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 184 times 1323515?\nAnswer: 243526760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 234, 505, 774, 1041, 1306?\nAnswer: 1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/((f**(2\/5)\/f*f*f)\/f)*f)**(-18)*(f\/((f\/f**(1\/4))\/f))**(-11\/3) assuming f is positive.\nAnswer: f**(-2003\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the third derivative of -9*i**2 + 0 + 23\/6*i**3 - 1\/10*i**5 + 0*i + 1\/12*i**4. Let c(r) be the first derivative of h(r). Differentiate c(m) wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -26, 3\/2, 0.3 in ascending order.\nAnswer: -26, -4, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 2 = -1. Let w(c) = -c**3 + c**2. Let l(u) = 38*u**4 - 2*u**3 + 2*u**2 - 20. Let s(d) = y*l(d) + 2*w(d). What is the derivative of s(z) wrt z?\nAnswer: -152*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 43133 - -130132?\nAnswer: 203265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1041 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 0*m = -3*b + 21399, 42843 = -2*m - 3*b. Let u = m + 12601. Is u\/(-6) - (-3)\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*f - 2 + 2)*(4*f**4 + 10*f**4 - f**3 - 16*f**4).\nAnswer: -4*f**5 - 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - -2022010210?\nAnswer: 2022010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1828895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 696, 1318, 1984, 2718, 3544, 4486, 5568, 6814?\nAnswer: 8248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 3*i**3 + 3*i**2 + 9*i. Let a(n) = -2*n**3 - 2*n**2 - 5*n. Calculate -5*a(b) - 3*v(b).\nAnswer: b**3 + b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 892, 891, 890?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the first derivative of 0*f**3 - 7 + 0*f + 0*f**4 - 19\/5*f**5 - 7*f**2. What is the second derivative of n(w) wrt w?\nAnswer: -228*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 14*p**2\/5 - 798122*p\/5 - 228036\/5 = 0. Calculate p.\nAnswer: -2\/7, 57009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 2*y + 2*b, 22 = 4*y + b + 2*b. Suppose 0 = -2*v + y*v - 4, -3*h = -5*v + 376. Let t = h + 171. What is the remainder when t is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -58 divided by 35893.\nAnswer: -58\/35893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bffbbff. Give prob of picking 3 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be -10 + (6 - (5 - 3)). Let f = o + 6. Suppose 5 = -z, 5*p + f*z = 5*z + 290. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 563817 + 10370922 = 26*h - 8423899. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -102350 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -23 - (-53 + 31 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = n**2 + 3*n - 16. Suppose -25*p + 39*p = 42. Let u be m(p). Factor -2\/5*f**5 - 2\/5*f - 2\/5 - 2\/5*f**4 + 4\/5*f**3 + 4\/5*f**u.\nAnswer: -2*(f - 1)**2*(f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (327*3\/(-21))\/1. Is m >= -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 17304 and 616.\nAnswer: 190344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.27? (a) 6\/35 (b) 5\/6 (c) -7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - (2 + (1 - (2 + -4)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -1635.78397 to the nearest ten.\nAnswer: -1640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1 + 3\/(270\/(-1590845)). Let r = 17667 + d. Calculate the common denominator of r and -133\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5569 + -5563. Let i(z) = -5*z**2 + 26*z - 3. Let a(c) = 3*c**2 - 13*c + 1. Let f(p) = 7*a(p) + 3*i(p). What are the prime factors of f(t)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 282 and 752?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-109)\/2289 + (-1)\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 63 - 57. Let z(c) = 30*c - 177. Let q be z(g). Solve q*h + i - 1 = 0, -3*h - 4*i - 3 = -7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -be3123 + 2?\nAnswer: -be3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7488184837?\nAnswer: 7, 17, 62925923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 22715177 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -15\/4, 5, 0.4?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3\/(0 - (-1)\/1). Suppose 4*f = -a*o + 122, -2*f + 4*o = 2*f - 108. Let u = 9646 + -9630. Calculate the remainder when f is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:03 AM and 6:14 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1*-2*(-4 - 2). Let r = -88\/21 + -8\/3. What is the common denominator of 2\/(-4) + 218\/o and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wxwwwwwxwwwwwxwwxw?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 208467110 and 1324?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -30, -169, -538, -1251, -2422, -4165, -6594, -9823?\n\"Answer: -19*h**3 - h**2 - 3*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -s - 2*s**3 + 8*s + s**2 - 8*s - 7 in the form y*s + k*s**3 + c*s**2 + w and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -46439100 divided by 464391?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/68)\/(18\/(-144)*8).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 5*r**2 + 2*r. Let v be p(-1). Let c(l) = 3*l**2 + 3. Let j(q) be the first derivative of q**3 + 2*q + 1455. Calculate v*j(w) - 2*c(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (8 - 41) + 25 + 19 - -90?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -3*c**2 - 11*c + 9. Let q(p) = -p**2 - 5*p + 4. Let v(i) = 4*f(i) - 9*q(i). What is the second derivative of v(r) wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -121489914*q**3 + 588068754*q**2.\nAnswer: -728939484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.2 and 140937.06844015?\nAnswer: 140936.86844015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**3 + 21*m**2 + 25*m - 62. What is the remainder when 77 is divided by l(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 1 - o**2 - 6 - 54013*o + 624696*o.\nAnswer: -o**2 + 570683*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 29 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7, -3, -3, -7, -15?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.9 - -1.86. Let s = -88 + 967\/11. Which is the closest to -0.2? (a) w (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.64 - 0.6. Let o = z + 0.16. Let y = 1.1 + -5.1. Put y, o, -3\/7 in ascending order.\nAnswer: y, -3\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lllallllllaa. Give prob of sequence aa.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2 + -17)*3\/5. Let c be 2 + 804\/u*7164\/(-8). Round c to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2 - (1 + -2 - 1). Let k be (-2 + 5)\/(3\/g). Suppose 2*y = -k*j + 4*y - 4, 0 = 4*j - 4*y. Let c(h) = h**2 - 2*h - 1. Give c(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -233, -228, -223, -218?\n\"Answer: 5*n - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (2 + -3 + 1*sqrt(7))**2 + 3.\nAnswer: -2*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -321.828 to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3*1 - (-7 - -3). Let a be ((-1)\/d)\/((-3)\/(-6)). What is the units digit of (0 + -1)*a\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*r + 21*r - 9 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 12 = 0, 5 = 2*g + 4*c - 3. Let d = -1 + -2. Let i(p) = -p - 12. Let o be i(-7). Put o, d, g in decreasing order.\nAnswer: g, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v - 30 = 2*y, 2*y - 35 = -35 - 34 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Are 1512\/107 and 13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 9 = 3*h, -7 = -3*h - 3*j - 2*j. Find g, given that -17 + 13 - g**2 - h*g**2 - 36 + 45*g = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 833742 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -c**5 + 2*c**4 + 1425472*c**3 - 3917*c**2 + 18 wrt c.\nAnswer: -60*c**2 + 48*c + 8552832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 2019397 minus 1.2?\nAnswer: 2019395.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 528 = -19*o. What are the prime factors of (o\/6)\/(20\/5580)?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 196934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.4? (a) 4 (b) -0.4 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-6)\/((-11)\/(-20) + (-2)\/8). Let j = 22 + l. Let c = 7 + -4. Solve c*m + d + 3*d = 3, -j*m - 2 = 4*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 466\/(-466)*-1*1*7\/(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 57 - 166*u**2 - u**3 + 10*u**2 - 55 + 38*u + 11*u**2 - 37*u to i + a*u + b*u**3 + s*u**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(440)*-3)\/sqrt(8))\/(sqrt(11) + -1*sqrt(11)*-5) + 3*((sqrt(80)\/sqrt(2))\/sqrt(8) + -4 + sqrt(25)\/sqrt(5)).\nAnswer: -12 + 11*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 6\/11, -1, 0 in increasing order.\nAnswer: -1, 0, 6\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -94941132*d**2*u**3 - 2*d**2*u**2 - 744*d**2*u + 2*d*u**2 + 10*u**2 + u - 4 wrt u?\nAnswer: -569646792*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 544982423.\nAnswer: 544982423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = 2*v + 100. Suppose 3*s - v = -5. Suppose 1135*x - 1124*x - 88 = 0. What is the remainder when s is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -11\/8 and -17\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-30) + 72\/(-180).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 10\/(-8)*-4*1. Suppose -2*p - p = -12. Let t be (-1)\/((-108)\/224) - (6105\/405 + -15). Sort p, 3, q, t in increasing order.\nAnswer: t, 3, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 + 3. Suppose 12*c - 4865 = 5*c. Find the common denominator of 11\/10 and c\/60 - (-3)\/(-6)*m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 71356573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 48 = 7*v. Let m be 10\/v - (-3)\/9. Let h = -4 + 7. Which is the second biggest value? (a) m (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 3\/10 and -47218 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-21)\/6)\/((-3)\/6). Let b = z + -5. Let d be (-1 - (-2 + b))\/(-1). Solve -d = 5*p - 6*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 14 = 6. Let g be n\/((-16)\/12) + -1. Find the third derivative of -y**5 + 42*y**2 - 5*y**5 - 36*y**g wrt y.\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:05 PM and 7:22 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -3*y. Suppose -2*c = -3*c - 2. Let q be d(c). Suppose -u = -3*f - q, 5*u = -4*f + 2*f + 30. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:35 PM and 7:32 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.03, -31544, -2, -2\/19 in ascending order.\nAnswer: -31544, -2, -2\/19, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -3*t**2 + 1. Let a(j) be the first derivative of 0*j**2 + 1\/3*j**3 + 69 + 0*j. What is a(h(k))?\nAnswer: 9*k**4 - 6*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 217*i**2 - 59*i + 1 wrt i?\nAnswer: 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 102 + -95. What is the remainder when 160\/(-20) - (-59 + 3) is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(17)*-3 + -3 - sqrt(17)) + (sqrt(153) + 2*sqrt(153))\/sqrt(9))*1 + 5*((sqrt(272))**2 + 3 + sqrt(17)) + sqrt(204)\/(-1*sqrt(12)) + 2.\nAnswer: 3*sqrt(17) + 1374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: ((-3105)\/(-828))\/((-6)\/4)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 7893175\/117 or 67464?\nAnswer: 67464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjjjjjdjjjjjjjjjjjj. What is prob of sequence jd?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-7)\/(-30)*-14*(-128)\/1568?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4616901895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3f + -12?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1083276185 to the nearest integer?\nAnswer: 32913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 93 + (21 - (199 + -181 + 18 + 1))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.02 - -9.14. Let x = g + -0.12. Let t = 8.0104 - x. Round t to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:12 PM and 6:46 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*m - z + 67, -4*m = -z + 42 - 103. Let t be 10*-1*m\/(-10). Solve 0 = -a + 2*a - h, 2*a + t = -2*h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43 - 10350*a**2 + 0*a + a - 3*a - 40.\nAnswer: -10350*a**2 - 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**2 + 54*h + 615. Let p be k(-16). Let i(d) = 4*d - 23. Give i(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.18 - 2.42. Let d = -0.4 + k. Let w = 0.1 - -0.4. Sort d, -4, w.\nAnswer: -4, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -6*k**2. Let f(a) = 38*a**2 - a. Determine b(f(v)).\nAnswer: -8664*v**4 + 456*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:18 PM and 12:34 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 11375\/15*2646\/22050\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6993141.\nAnswer: 3, 2331047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6792?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 - 31 = -5*t. Let j(k) be the first derivative of 0*k**4 - 2\/3*k**3 + 0*k**2 + 2\/5*k**5 + 0*k + t. What is the third derivative of j(x) wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 523309 is divided by 130822?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 665047 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -22 - 22202202?\nAnswer: -22210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 169*h*l*q - 302654397*h*l - l*q - l + 11850*q**4 wrt q.\nAnswer: 169*h*l - l + 47400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the second derivative of -a**4\/4 - 7*a**3\/6 + a**2 - 9*a. Let i(p) = p**2 + 3*p - 1. Give 7*i(v) + 3*y(v).\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -126464, -252955, -379446?\n\"Answer: -126491*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (300\/(-195))\/10 - 20\/39. Let n = 11 + -19. Which is the nearest to v? (a) -1\/4 (b) -2\/3 (c) n (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 81 divide 23976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that 14*t**5\/3 + 22*t**4\/3 + 2*t**3\/3 - 2*t**2 = 0.\nAnswer: -1, 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 61 a factor of 4026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 80256 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: Differentiate 49802283*x - 27695014 wrt x.\nAnswer: 49802283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -308, 4, -2, -206 in ascending order.\nAnswer: -308, -206, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 54031110 to the nearest 100000.\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/c**(3\/7))\/c*c**(-3))\/(c**(-1\/2)*c**1\/c)*(c*c**2)**(-29)\/(c**(-2\/3))**(7\/4) assuming c is positive.\nAnswer: c**(-1864\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 39 (b) 2 (c) 1139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49250.\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -39272, -157081, -353430, -628319, -981748, -1413717, -1924226?\n\"Answer: -39270*m**2 + m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1520)\/36 - 4\/(-18). Let p = x - -40. Calculate the smallest common multiple of (-2296)\/(-70) + p\/(-10) and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -607, 29\/2, -18 in decreasing order.\nAnswer: 29\/2, -18, -607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 561*d**2 + 32*d**3 - 23*d**3 - 4*d**3 + 332*d**2 - 3*d**3 + 473*d**4 wrt d.\nAnswer: 11352*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = g**2 + 7*g + 1. Let j be i(-8). Suppose j*n = 7*n + 10200012. Suppose -2*s + 3*s - 2*a - n = 0, -15 = 5*a. Round s to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -2 - (-1 + (2 - -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -23634 plus -18?\nAnswer: -23652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c + 3 - 2 - c. Let q(v) = -5*v + 2. Suppose 154 = 46*w - 168. Calculate w*j(t) - 3*q(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (-9 - -11) + (2 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that 5\/2*u**5 - 11\/2*u**4 - 1\/2*u**2 + 7\/2*u**3 + 0*u + 0 = 0.\nAnswer: 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*h - 5*k - 66 = 9, 2*k = 2*h - 24 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h**5\/2 - 39*h**4\/2 + 93*h**3\/2 + 39*h**2\/2 - 45*h = 0. Calculate h.\nAnswer: -15, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 12459477673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -817 = 3*s - r, -5*s - 2*r = 1397 - 28. Let p = s + 403. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -18 - -30. Suppose -5*n + d = -n. Let m = -2 + n. Calculate the lowest common multiple of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 112196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -350 - -34. Let w be (0 + 1)\/(9\/18). List the prime factors of w + (5\/10)\/((-2)\/d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 2*b - 1. Let h be t(3). Let x = 353 + -1049\/3. Let d = -4 + x. Sort -3\/7, h, d in decreasing order.\nAnswer: h, -3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 130 minutes after 9:14 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1364 + 13627\/10. Calculate the common denominator of 75\/4 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 131 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 7*f**2 - 2*f - 2. Let g(o) = -15*o**2 + 4*o + 5. Let z(t) = 13*b(t) + 6*g(t). Let n(q) = -2 + q**2 - 2 - 82*q - 1 + 6 + 81*q. Give -3*n(p) + z(p).\nAnswer: -2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 8632058?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate a*y**3 + 12*a*y**2 + 1179*a + 3*y**3 wrt y.\nAnswer: 3*a*y**2 + 24*a*y + 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -160 - -168. Find the third derivative of -5*b**2 + 0*b**2 + 6*b**2 - d*b**2 - 30*b**5 wrt b.\nAnswer: -1800*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000014788 to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 11 + 2*f**2 + 11*f - 50*f**3 - 14*f**2 + 51*f**3. List the prime factors of j(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -k**3*l**2 - 1644*k**3 + 44*k**2*l**2 - 51*k**2*l + k*l - 2*k wrt k.\nAnswer: -6*l**2 - 9864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(396))\/(sqrt(20)\/(sqrt(10)\/sqrt(2))) + -3 + sqrt(11)*1 + sqrt(110)\/(sqrt(10) - sqrt(250)).\nAnswer: -3 + 51*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sum 25 and 32.1116.\nAnswer: 57.1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1482.06158 + 0.23842. Round z to the nearest 10.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -10, 0, -2, -503, 6, 2 in decreasing order.\nAnswer: 6, 2, 0, -2, -3, -10, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b be (3\/(-3))\/((-3)\/9). Suppose 23 + 31 = b*s. Calculate the highest common factor of s and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 82.9 + -83. Which is the second smallest value? (a) n (b) 4\/9 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.07 - 0.27. Let w(j) = -j**2 + 5*j - 4. Let l be w(3). Let z be 3 + (-33)\/6 + l. Which is the closest to z? (a) -0.3 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -789, -6197, -20821, -49251, -96077, -165889, -263277, -392831?\n\"Answer: -765*n**3 - 18*n**2 + n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((2160\/1440)\/(9\/51))\/((-2)\/8).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 50782353, 50782352, 50782351, 50782350, 50782349?\n\"Answer: -u + 50782354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the second derivative of 283 - 1\/27*s**4 - 1\/90*s**5 + 2*s + 1\/9*s**3 + 0*s**2. Factor n(x).\nAnswer: -2*x*(x - 1)*(x + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - 387567?\nAnswer: -387569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4704 + 10083\/2*d**2 - 9576*d - 171*d**3 + 3\/2*d**4 = 0. Calculate d.\nAnswer: 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 40975962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -8*a**2 - 5*a**2 - 1967 - 26*a**2 + 15*a**2 + 21*a**2 as n*a**2 + s + i*a and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 1228247*n + 8. Let s be h(-7). Let a = s + 3747721. What is a rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d**2 - 14*d + 38. Determine c(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be 22\/(-6)*(-4 + (-5 - -6)). Let b(k) be the third derivative of k**4\/2 - 16*k**3\/3 + 16*k**2. What are the prime factors of b(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 629\/187 - (-3 - -4)*3.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 91 - 80. Suppose j = 7*v - 17. Suppose -v*k = 2*k - 52458. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17 = -10*u + 23 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2)\/3 + 2\/3. Let g = -2 - -23. Suppose 3*x = -d + g. Solve 16 = -3*z + x*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 711*j + 26. Let p be y(0). Solve 5*z + 4 = -p for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 241, 238, 231, 220, 205, 186?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 173*g**2 - g - 14. Let z(i) = -58*i**2 + 5. What is -3*l(f) - 8*z(f)?\nAnswer: -55*f**2 + 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 45000197?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 1155\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 331 minutes before 1:08 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p**2 - 6*p + 2. Let r be c(6). What is the tens digit of 16 + (-2 - r\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11 + 21. Let r = u - 2. Let d = 11.9 - 12. Which is smaller: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1\/(3 - (-260)\/(-88))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -189700 - -2.\nAnswer: -189698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -301*i**2 - 66*i + 0*i**3 + 300*i**2 - 2*i**4 - 2*i**3 + 2 + 0*i**4 in the form u*i**4 + d + y*i**3 + c*i + q*i**2 and give c.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c be 55\/(-165) - 1\/(99\/(-51)). Put c, -2\/17, -143, -0.2 in decreasing order.\nAnswer: c, -2\/17, -0.2, -143","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4\/3*n - 2 + 2\/3*n**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (154\/4)\/((-11)\/(-22)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 207 is divided by 49.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0*4\/(-16) + 2. Let n be 124\/30 - k - (-2)\/(-15). Find the second derivative of s - 6*s - 2*s + 14*s**n - 7*s wrt s.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 901 and 46510309?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = m**3 - 3*m**2 + 5*m - 3. Let r be n(3). Let y = 20 - r. Calculate the greatest common divisor of 32 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -21*c + 6. Let g(s) = s - 1. Let h(k) = -5*g(k) - q(k). Let d = -8 + 9. What is h(d)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 5 (c) 1\/5 (d) 64 (e) 42 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*j = -10*j - 10. Suppose 0 = -2*d + j*a + 32, -3*a - 52 = -4*d + a. Solve -d = -v - 13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6*2\/(-4) + 4. Let u be -2 + 2\/(-2) + q. Is (-1902)\/(-15) - u\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express u**3 - 59 - 1 + 3 - 12 as t*u**3 + b + y*u + h*u**2 and give b.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 411 - -3cc8?\nAnswer: 41d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 95\/504 and -97\/504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.2, -1, 5\/34 in decreasing order.\nAnswer: 5\/34, -1, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 1144 to the nearest 10.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 2*v - 13. Suppose -2*w - v = -4*w - 5*x, 5*w + 4*x = 10. Suppose 0 = w*a - 104 + 36. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -140 + 400 - 126 - 134 - 147*b.\nAnswer: -147*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1.35, 3\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3 - 3.05. Let g = h - -2.05. Let i(o) = 2*o**3 + 12*o**2 - 12*o + 15. Let q be i(-7). What is the third smallest value in g, 0.2, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 346 and 344 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 2*g**3 + 2*g**2 - g + 1. Let v(q) = -7*q**3 - 12*q**2 - 15*q - 10. What is -6*r(o) - v(o)?\nAnswer: -5*o**3 + 21*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**2 - 13*g + 18. Let u(c) = c**3 + c + 12. Let t be u(0). Let j be o(t). Calculate the highest common factor of j and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 193828667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 11442708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 36*v**2 + 6. Let k(w) = -5*w**2 - 1. What is -15*k(g) - 2*l(g)?\nAnswer: 3*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 140 - 134. Solve 2*y = -0 - d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2 + -5571885?\nAnswer: -5571883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 111102002 (base 3) to base 13.\nAnswer: 45b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0 - -3 - (2 + -2). Suppose 0 = -2*z + t*j + 70, 3*j + 116 = 4*z - 24. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.016184 rounded to four dps?\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -6, 0.01, -1\/4669, 0?\nAnswer: -1\/4669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 171 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 146492\/1687 at least as big as 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -1.6396 plus 0.5?\nAnswer: -1.1396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = -50 - -55. Suppose 32 = 13*p - x*p. Solve 0 = -p*b - 2*r - 13 + 5, 3*b - r + 1 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1825)\/(-730)*8\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5338 - 2546 = 72*p + 1676 - 3728 for p.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 56, 63, 74, 89, 108, 131?\n\"Answer: 2*n**2 + n + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -159 divided by -75632?\nAnswer: 159\/75632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.349 minus 1?\nAnswer: -1.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 332407 (base 8) in base 11?\nAnswer: 77069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 2*l**2 - 3*l + 2. Let i(t) = -t**3 + 49*t**2 + 47*t - 2304. Let h be i(49). Let u(n) = -n + 1. Suppose 2*j - 3*j + 3 = 0. Give h*x(f) + j*u(f).\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-27)*(-3393)\/754\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*a**3*j**2*w + 13325*a**3*j*w + 97*a**2*j**2 - 22*a*w - j**2 wrt a?\nAnswer: 18*j**2*w + 79950*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 488\/13? (a) -0.2 (b) -0.1 (c) -2 (d) -0.22 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - 10 - (-85 + 73).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1 + 1883?\nAnswer: 1884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -2*g**3 + 381*g**2 - 2464*g + 13242. Calculate o(184).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -12 - -12.21. Let f = y + -5.71. Let c = f + 5.537. Round c to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 646170459*l**3 - 493385228*l?\nAnswer: 3877022754*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 4*g**3 + 5*g**2 - 4*g - 80. Is o(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -169.373 minus -0.005343?\nAnswer: -169.367657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 6174098*y**2\/5 + 119476*y\/5 + 578\/5.\nAnswer: 2*(1757*y + 17)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.8 + -0.8. Which is the fourth biggest value? (a) -1 (b) v (c) -0.07 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1.1 (b) 2173912 (c) -1 (d) -4 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 10 by 67.\nAnswer: 10\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5.4 - -4.9. Let l(g) = g**2 + 5*g + 5. Let m be l(-5). What is the third biggest value in m, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y**4\/6 - 21*y**3\/2 - 61*y**2\/6 + 21*y\/2 + 31\/3 = 0. Calculate y.\nAnswer: -62, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 25*a. Let c(p) = 3*p - 8. Let x(f) = f - 3. Let l(q) = -3*c(q) + 8*x(q). What is l(y(d))?\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r - 24 = 3*r. Suppose 17*j = 6616 + 864. Suppose r*d = 4*d + j. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -213.96 + 213.9617161. Round i to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (8 + 4*u - 8)*(0 - 3 + 4)*(2*u - 2*u - u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the first derivative of m**6\/90 + 25*m**3 - 243. Let b(s) be the third derivative of o(s). Let n(l) = -11*l**2. What is b(n(r))?\nAnswer: 484*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 99\/40 or 3?\nAnswer: 99\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + t + 117 + 380 = 0, 3*t = 9. Let p(x) = 52*x - 16 + 36*x - c*x. Let z be p(-3). Solve -5*d - z = -10*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-i + 2*i + i)*(-3*i**3 - i**3 + i**3) + (i + 5*i - 4*i)*(-5 + 5 + 27*i**3).\nAnswer: 48*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 45 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -s**2 - 3511*s - 462272. Determine x(-137).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1261737, -2523475, -3785213, -5046951, -6308689?\nAnswer: -7570427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2024 + 2029. Solve t*o = 4*z, 2*z - 1 = -5*o - 31 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 96 minutes after 5:32 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.22 + 0.12. Let x be (25\/(-10))\/(-1*1\/(-2)). Which is the closest to p? (a) -2 (b) x (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*h - 7*h = -28. Let l(k) = 5*k**2 + 8*k - 8. Let u(y) = 4*y**2 + 8*y - 7. Let m(f) = 3*l(f) - 4*u(f). What is the least common multiple of m(h) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*(sqrt(72)*1 - sqrt(72)))\/sqrt(9))\/((sqrt(484) + sqrt(484)*2)*6)*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, p: 4, n: 6, a: 1}. Give prob of picking 1 e and 1 n.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -75211136*t**2 - 10*t + 53517.\nAnswer: -150422272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:22 AM and 5:55 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3, -2\/19, 9, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.083 and 0.5.\nAnswer: 0.0415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 7c4 + 3a?\nAnswer: 7fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 266 and 10241?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 4*d = 124, 35 = 4*b - d - 124. Solve b*m - 35*m = 3*h - 40, -h + 20 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 65655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50 = 5*l - 4*p, -4 = 4*l - p + 5*p. Let q be 5\/7 - l\/21. Is q at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -88257, -88280, -88303, -88326, -88349, -88372?\nAnswer: -88395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = n**3 + 2*n**2 - n + 2. Let a be (18\/(-27))\/(1\/3). Let q be b(a). Solve -7*l + q*o + 6 = -4*l, 0 = 2*l - 3*o - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -656, -663, -680, -707, -744, -791, -848?\n\"Answer: -5*o**2 + 8*o - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -119 - -77. Let a = 17 - d. What is the remainder when a is divided by 27\/9 - 9*-3?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.123 + 0.777. Sort f, 0, 0.2 in increasing order.\nAnswer: 0, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.2924 or -14.95?\nAnswer: -0.2924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 405*u - 402*u = -6. Let l(k) = -2*k**3 - 2*k + 7. Let j(p) = -2*p**3 - 3*p + 8. What is u*j(y) + 3*l(y)?\nAnswer: -2*y**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 15 = 5*x - 5*p, 0 = 5*x + p - 45. Suppose -s + x = 1. Let n = s + -9. Which is the smallest value? (a) -1 (b) -0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 38820.67ml in litres?\nAnswer: 38.82067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 3) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -46\/27 and 47\/288.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*a**4*m**2 - 280*a**4*m + 10*a**2*m**2 - 471*a*m**2 - 2*m wrt a.\nAnswer: -96*a*m**2 - 6720*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 36 and 67086.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/((-36)\/(-99)) - 6\/8. Let n = 13195 - 13195. Solve -1\/6*o + 1\/6*o**3 + 1\/6*o**f - 1\/6*o**4 + n = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2322859805.\nAnswer: 5, 7, 257, 281, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -2*t + 21. Let o(q) = 525*q - 3 - 1013*q + 4 + 487*q. What is 4*o(b) - x(b)?\nAnswer: -2*b - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -277*o - 15. Is j(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4)\/(-14) - (-182)\/49. Solve -l*y + 12 = -0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -887849 at most as big as -887849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 36734235?\nAnswer: 3, 5, 2448949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes before 4:08 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = g**3 + 17*g**2 - 2*g - 12. Let p be i(-17). Calculate the greatest common divisor of p and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 21 - 9. What is the smallest common multiple of v and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 9, 101, 249, 447, 689, 969, 1281, 1619?\n\"Answer: -v**3 + 34*v**2 - 3*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 552*h - 2646 = -4378 - 9308 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1f218 - 73?\nAnswer: 1f1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put together -1976.68 and -26638.\nAnswer: -28614.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 32206 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 47 in 2, -95, 6\/403, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = 7*b - 6*b - 1787, -4*b - 1063 = -3*c. Is c a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b + 2*b + 0*b. Let k be ((-606)\/(-4))\/(803\/110 - 7). Let o(c) = 22*c**2 + k*c - 505*c. Give m(o(v)).\nAnswer: 66*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -7082 divided by 6\nAnswer: -3541\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.0194 * -2.\nAnswer: -0.0388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -40339 = -3915*h - 40339 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.47 in 78, -0.1, -2\/9, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 201 + -120. Suppose 0 = 2*t + 4*y - 18, -6*y + 10*y = -5*t + 33. Suppose t*k - q = 89. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -1\/10, -3, 3.\nAnswer: -3, -1\/10, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = -41 - -26. Find the common denominator of 265\/(-66) - 5\/v and 33\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 300 - -52. Let l = y - 352.125. What is l rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -101*w**3 - w**2 - 1. Let d be t(-1). Suppose 4*m - 3*k - 132 = -2*k, -3*m + d = -3*k. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15.06391 rounded to one decimal place?\nAnswer: 15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.21 + -0.07. Let v = 1.12 - k. Let u = 2.6 + v. Which is the third smallest value? (a) -3 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -31, -43, -51, -55, -55?\n\"Answer: 2*u**2 - 18*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3007946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 2*b**2. Let l(n) = 217*n**2 - n. Determine q(l(k)).\nAnswer: 94178*k**4 - 868*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4014 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*y - 625*y + 3594 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the third derivative of 0*l**6 + 17\/210*l**7 + 17\/24*l**4 + 0*l + 0 + 0*l**3 + 0*l**5 + 21*l**2. Find the second derivative of c(t) wrt t.\nAnswer: 204*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*l = 2*l + 2745. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**2 - 52. Let w be t(0). Let h(o) = -21*o**2 - 89*o + 29. Let d be h(-5). Is d >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p**4 + p - p)*(-2*p + 3 - 3) + 0*p**5 - 3*p**5 + 4*p**5 + 7*p**5 + p**5 - 3*p**5 + (-p**2 + 2*p**3 + p**2)*(10*p**2 - 226*p**2 - 219*p**2).\nAnswer: -860*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (-4 + 2*sqrt(3))**2 + (sqrt(27) - ((sqrt(972) + 1)**2 + sqrt(27))) + sqrt(27) + sqrt(27).\nAnswer: -942 - 46*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.159 - -0.0620745389367\nAnswer: -0.0969254610633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence quua when four letters picked without replacement from {u: 1, q: 2, a: 11}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be -14 - (9 + 9 + -37). Put -732, 0, m in ascending order.\nAnswer: -732, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 909691364 a multiple of 837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence etx when three letters picked without replacement from rrrqtttxrxtqrret?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.66 + -0.26. Let w = -2 + 2. Which is smaller: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand m - m + m**4 + (-4*m + 6*m + 2*m**2 + m)*(m**2 + 0*m + 0*m).\nAnswer: 3*m**4 + 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 29 + 14 + -20 + -13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 41778 and 3798?\nAnswer: 41778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-21)\/28 - 261563\/(-4). Let c be 1\/(-3) + p\/78. Is c\/6*(-2 + 14)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -10472\/3 - -13985\/4. Calculate the common denominator of j and 101\/1752.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 3 = -2*k. Let i be (k - -3)\/(-1) + -1. Let d(h) = h**2 + h - 1. Calculate the remainder when d(i) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, 4, -5370\/11, 172?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 6 - -a0?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7428999 years to centuries.\nAnswer: 0.007428999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-15 - 2) + (23 - (17 - 20)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -309*c = -282*c - 50544. Calculate the least common multiple of 312 and c.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 6*n**3 + 23*n**2 - 19*n + 33. Determine r(-5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the third derivative of -o**5\/60 - 5*o**4\/4 + 3*o**3 - 3*o**2. What is the units digit of q(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.75*-49.\nAnswer: 36.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4431 + 737 = 8*a. List the prime factors of a.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j*j\/j**1))**7\/((j**(-4\/9)\/j)\/(j*j**(-6\/11)\/j)) assuming j is positive.\nAnswer: j**(89\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -20.37 - -20.360971. Round z to four decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2760794039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 9 + -13. Let z = 4 + k. What is the second smallest value in 3, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 315, 2490, 8395, 19896, 38859?\nAnswer: 67150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4910 + 4937. Solve 0 = -16*l + i + 69 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.9395268t to micrograms.\nAnswer: 939526800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 4*j**2 + j. Let x be c(1). Suppose 6 = -m + g - 6, -m - x*g - 24 = 0. Which is smaller: m or 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1264810, 2529616, 3794422, 5059228, 6324034, 7588840?\n\"Answer: 1264806*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -79*q**2 - 521*q - 4946. Let o(p) = 297*p**2 + 2085*p + 19785. Let l(w) = 4*o(w) + 15*u(w). Solve l(z) = 0.\nAnswer: -165, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 36 minutes after 8:17 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -o**3 - 6*o**2 + 11*o - 18. Let u be y(-9). Let g = -67 + u. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = -0 - 3, 4*r = -d + 16. Suppose 0*s = d*m + 2*s - 26, -25 = 5*s. Solve -5*h = 1 + m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1086, 1088, 1084, 1068, 1034?\nAnswer: 976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 4*w - 6. Suppose -k - 3*z + 33 + 56 = 0, 0 = w*z. List the prime factors of k.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 100 + -67. Suppose -2*v - 15 = -k, -5 = -3*k - 2*v + 8. Find the first derivative of -29*u - m*u + 56*u - k wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the third derivative of 3*h**5\/10 + h**3\/3 + 8*h**2 - 4*h. Let w(m) = -10*m. Give i(w(u)).\nAnswer: 1800*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 19542852 and 6804?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 117286 and 4056?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 761 + -760. Which is bigger: j or -19?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-7*(-4)\/(-56))\/((-14)\/12)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**3 - 13*s**2 - 16*s + 42. Let n be w(14). Suppose 0 = p - 0 - 11. Solve 14 + p = -5*y - 5*t, 4*t = -y - n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 308497 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 16 + 105. Suppose k - 26 = 2*w + 21, -5*w - c = k. Is w less than or equal to -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m = -7*q + 50, 1205*m - 1209*m + 2*q - 40 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 659162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/6 - (-13)\/3. Suppose -47 = p*g - 371. Suppose 0 = -n + 4*n - g. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -181\/47880 and -89\/4284.\nAnswer: 813960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -39\/5 and (1316\/(-40))\/(-7) + (-6)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (7 - -5 - -2) + -14 + (14 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.02077 and -0.14?\nAnswer: 0.16077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ooym when four letters picked without replacement from {c: 2, o: 2, y: 1, m: 1}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 370 and 2146?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 141 and 61899.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be 5 - (-33 + 37)*(-1 - 3). Let l(k) = -76*k. Let d be l(-1). What is the second derivative of -29*v + a*v**5 + 6*v - d*v**3 + 76*v**3 wrt v?\nAnswer: 420*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -80310851892 + -4.42.\nAnswer: -80310851896.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 50 + -51 + 2 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 14309073 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2 + 4. Suppose 4*x - 19 - 5 = -4*u, -y*u = -x - 9. Let o be (-88)\/(-20) + (-3)\/(-5). Solve 0 = -5*i + i + o*b + 14, -i - b = x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 157\/4 (b) -36\/11 (c) 2\/5 (d) 0 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 5381964360 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y = 0, 4 = 5*v - 2*y + 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 13027 or 13033?\nAnswer: 13033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 145*a**2*q**2 + 5*a**2*q*w**2 + 14*a**2*w**2 + a*q**2*w**2 + 4527*a*w**2 wrt a?\nAnswer: 290*q**2 + 10*q*w**2 + 28*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -u**3 + 9*u**2 - 8*u + 7. Let t be y(7). Let r = t - 48. Let w(b) = -2*b**2 - 4*b - 1. Let f(m) = m + 1. Calculate r*w(a) + 2*f(a).\nAnswer: -2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 247*l**4 - 7*l**3 + 453. Let b(y) = -165*y**4 + 5*y**3 - 302. Let n(t) = -7*b(t) - 5*q(t). Differentiate n(z) with respect to z.\nAnswer: -320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*g = -6377 - 23149. What is the remainder when g is divided by 38?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 34, -776, -2120, -3992, -6386?\n\"Answer: j**3 - 273*j**2 + 2*j + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(57)\/sqrt(12))*-5.\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 98 divided by 98\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 9911*z**4 - 4*z**2 - 2*z - 1261712 wrt z.\nAnswer: 39644*z**3 - 8*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1130437 and 719369?\nAnswer: 7913059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 39 and 87?\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2642286960?\nAnswer: 2, 3, 5, 1223281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 52846815 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 21 = 39. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 99 + -101. Which is smaller: 19 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 65688881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (-3 - (2 - 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*b + 4*r - 324, 3*r = -5*b + 55 + 356. Suppose -b = -10*i - 4*i. Solve -6 = 3*f + 5*u, 3*f = u + 4*u - i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = 2*a - 2, -5*a + 8*r - 3*r = -15. Put -61, a, -5 in increasing order.\nAnswer: -61, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -714, -1432, -2150, -2868, -3586, -4304?\nAnswer: -5022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5400009 is divided by 5625.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1228, -2189, -3150, -4111?\n\"Answer: -961*z - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -336 * -0.4.\nAnswer: 134.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 2570*x - 2569*x - 3*x**2 + 4*x**2)*(3*x + 0*x - x).\nAnswer: 2*x**3 + 2*x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -0.69 < -2317268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*m - 25*m + y - 12 = 0, 8 = -2*m - y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -49 - 42 + 91 + 145*x. Let g(n) = 2*n. Calculate g(z(l)).\nAnswer: 290*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 52061360 to the nearest integer?\nAnswer: 7215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -4230513 (base 6) in base 11?\nAnswer: -130a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6 + 0. What is the third derivative of 9*z**3 + 5*z**u + 5*z**2 - 9*z**3 wrt z?\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -6*x - 34. Let g(w) = -2*w - 11. Let f(r) = 4*d(r) - 11*g(r). Suppose 0 = 4*b + 4*b + 80. Is 2 a factor of f(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17597, -17590, -17581, -17570, -17557?\nAnswer: -17542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -1 smaller than -228211734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2469 + -2470. What is the closest to -17 in w, -1\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -89621449 - -157.\nAnswer: -89621292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -48856 divided by 4?\nAnswer: -12214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1524?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 77 divided by -7\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w + 16, 171789 - 21631 = 3*x - 2*w. Round x to the nearest 1000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(2*(2 + sqrt(1700)))**2.\nAnswer: 160*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -14*t**2 - 33*t - 2*t**2 + 2*t**2. Let h(k) = -5*k**2 - 11*k. Let i(y) = 17*h(y) - 6*z(y). Is i(8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = 2*v - 12 - 0, -l + 4*v - 14 = 0. Let t = 2 + 7. Let w = t + -5. Solve 0 = -l*p - 4 - w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/6)\/(28\/(-144)*68\/17)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (15 - 12) + (1 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1*3*-1*1. Let y(j) = 10*j + 24. Let q(c) = 5*c + 15. Let v(f) = 5*q(f) - 3*y(f). Let g(m) = m**3 - 11*m + 7. Give h*g(w) - 7*v(w).\nAnswer: 3*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 769838960 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*v - 2*v - 5*v + 206*v**2.\nAnswer: 206*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -3 (b) 3 (c) -261 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f. Let x = -77 + 76. Let c(j) = -2*j**2 + j + 2. Calculate x*c(y) - w(y).\nAnswer: 2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 2*g**2 + 15*g + 18. List the prime factors of o(-10).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 776 < 777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 + 69*6\/96)*(-76)\/418.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 201*n - 176*n = 1607500. Round n to the nearest one thousand.\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/72 and ((-126)\/45)\/14 + 177\/1620.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 72*n - 106 = -970 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4.2 - -4.20000175. Round l to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -91\/4 + 23. Let y = 1.16573 - 0.16573. What is the biggest value in y, -4, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 737.302973 to 2 decimal places.\nAnswer: 737.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -8334632 by -5.\nAnswer: 8334632\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3.72 - 4.12. What is the second biggest value in -0.038, 0.3, j?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1870417 or 233?\nAnswer: -1870417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) be the third derivative of -5*f**4\/12 - 2*f**2 + 4. Let m(i) = 4*i**2. Give u(m(g)).\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = -266 - -606. Let n = 2045\/6 - l. Let i = 2\/15 - 19\/30. Is i less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -12*b**2 + b + 1. Let z be k(-1). Let x be ((-8)\/z)\/1*27. Let w be 10\/45 + 140\/x. Solve 3*q - w = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 616 a factor of 1155513128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*h**2 - 2*h**3 + 6*h**2 + h**2 = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (3542\/63)\/23*9. Let x(q) = -16*q**2 - 11*q + 10. Let s(a) = -a**2 - a + 1. What is t*s(g) - 2*x(g)?\nAnswer: 10*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 61178*l**2 + 192*l - 53.\nAnswer: 122356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2 + 6)*(-4*b + b - b)*(-3 + 1 - 1).\nAnswer: 60*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 + 3. Suppose -i - 1 = -p. What is the closest to 0.2 in i, 4, -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-8))\/((10 + 1)\/264)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**3 + 11*s**2 - 13*s - 15. Is i(-11) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*t**4 + 5042*t**3 - 2*t**2 - 133473 wrt t?\nAnswer: -8*t**3 + 15126*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110010000110010 - -10010001000001?\nAnswer: 1000100001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 2 - (3 - (-2 - -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -171 = 31*k - 2*h, -h - 2*h - 11 + 10 = 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 46 divide 1312028542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 594523 to the power of 1\/2, to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 * 1035.\nAnswer: -4140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -73, -588, -1981, -4690, -9153, -15808?\n\"Answer: -73*t**3 - t**2 - t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.11986678 to 3 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 0.2 (b) -0.15 (c) 1\/6 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18)\/108*9\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(12)\/(sqrt(24)\/sqrt(4)) + (sqrt(32)\/sqrt(4))\/sqrt(4))*-5 - (sqrt(6)\/(sqrt(12)\/sqrt(4))*3 - (sqrt(2)*2*4 + -1)).\nAnswer: -5*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 266472824 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 2*n + 3. Calculate i(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-2)\/10)\/((-161)\/(-805)))\/((-2)\/42).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:08 PM and 8:25 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*d - 12*d = 5*i - 17, d + i - 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 25282, -9, 6.\nAnswer: -9, 6, 25282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 4*350\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1617 times 4?\nAnswer: 6468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the second derivative of -3*i**5\/20 + i**4\/3 - 5*i**3\/6 - 9*i**2\/2 - 7*i. Let x be b(8). Let t = 214 - x. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 265231 - 154629723\/583. Find the common denominator of 59\/77 and x.\nAnswer: 4081","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*h**3*i**4 + 9320*h**3*i**3 + 297*h**3*i**2 + 4*h**3*i + 10*h**2*i + h - 2*i**4 wrt i.\nAnswer: -48*h**3*i + 55920*h**3 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**2 + 2*q + 3. Give n(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 11*w**3 - 1. Let m be l(1). Let b(f) = -f**2 - 4*f - 1. Let x be b(-3). Suppose -3*p + 350 = x*p. What is the greatest common divisor of m and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/9 of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -9 - -7. Let n be (59 + -3)*(-1)\/i. Calculate the highest common divisor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:56 AM and 5:06 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the first derivative of 0*s**2 - 1 - s**3 + 0*s**5 + 1\/6*s**6 + 0*s + 0*s**4. Find the third derivative of r(w) wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kfek when four letters picked without replacement from {e: 3, k: 2, f: 15}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3 + -2.5. Let b = -136.3 + 126. Let y = -7.3 - b. What is the biggest value in w, y, 4\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 70*k + 69*k + 840181*k**2 + 171468*k**2 - 173664*k**2.\nAnswer: 837985*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -a*m*v*w + 19*a*v*w**3 + 18*a*v - 11*m*v*w + 63*m*w**3 + m*w wrt w?\nAnswer: 114*a*v*w + 378*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = 4, 0 = 5*h - w - 3 - 23. Suppose h*u + 5*i = 7 + 3, 2*u - i + 11 = 0. Let y be -20*u*9\/12. Calculate the greatest common factor of y and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s = o - 38, 5*o + 13115*s - 13118*s + 40 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1138859105 to the power of 1\/2, to the nearest integer?\nAnswer: 33747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 13146238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/(-66))\/(3\/(-6)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1696 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x*x**1))\/x*(x*x**(1\/3))\/x*x\/(x\/(x*x**0))*x**6 assuming x is positive.\nAnswer: x**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*o**4 + o**4 + 2*o**4)*(3 - 8 + 45).\nAnswer: -80*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -757*l**3 - 13*l**2 + 4*l**2 + 10 + 179*l**3 - 4*l**2 wrt l.\nAnswer: -3468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10 (base 7) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10929*y - 10921*y + 21849*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 + 1 + v**2 + v**4 + v**4 - 5 - 31*v + 27*v - 2*v**3 to the form y*v**3 + z*v**2 + h*v + p + g*v**4 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/10*8\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-6447)\/(-15) - (76\/20 - 4).\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jlc when three letters picked without replacement from {z: 11, l: 3, c: 1, j: 1, q: 3}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*x - 7 + 3. Which is the closest to x? (a) 4 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 826 - 826 + 201*j to p*j + c and give p.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -8, -20\/11, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -2127a (base 11) to base 10.\nAnswer: -30942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -4336 (b) -2 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 205 + 179 - j - 72 + 20*j**3.\nAnswer: 20*j**3 - j + 312","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 65663?\nAnswer: 13, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 179511*i**3 + 179514*i**3 - 2.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*o = 13*o. Suppose s - j - j - 13 = o, -3*j - 9 = 2*s. Factor 0*u**4 - u**3 + 0*u**4 + 4*u**2 + 2*u**4 - 5*u**s.\nAnswer: 2*u**2*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3512*d**2 - 1741*d**2 - 1757*d**2.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -10ba04 (base 16) in base 12?\nAnswer: -44a458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bt when two letters picked without replacement from {m: 3, b: 3, t: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53 - 332 = -9*c. What is the remainder when 119 is divided by c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 divided by -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 2923440.6ms to minutes.\nAnswer: 48.72401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 116 (base 7) to base 6\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*n**5 - 9*n**5 - 4*n**5 + (n - 3*n + 0*n)*(-7*n**4 + 2*n**4 + 2*n**4) + 0*n + 0*n + n**5.\nAnswer: -2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -30*c + 182. Let m be t(6). Let b(d) = 13*d**2 + 6*d - 4. What is the lowest common multiple of 80 and b(m)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-2)*k*k)**39 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -2*u + 4*u. Let q(c) be the second derivative of c**5\/20 + 5*c**4\/12 - 7*c**3\/6 - 9*c**2\/2 + 16*c. Calculate q(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -5.4, -23 in increasing order.\nAnswer: -23, -6, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 - 5. Let i = 0 - z. Solve -2*r - 1 = i*t - 3, 0 = -4*t + 5*r - 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**3 - 5*x**2 - 6*x + 7. Let v(y) = 3*y - 38. Let p be v(16). Let f = 11 - p. What is the lowest common multiple of f and l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -37*824\/(-80031)*3*2\/56.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 51 - 24 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2365640664?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*u + 20*u = -10*u - 30 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000186706 rounded to five decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = c**3 - 6*c**2 - 11*c. Let m(n) = -2*n - 6. Let x be m(-7). Let q be y(x). Calculate the highest common divisor of q and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3444.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:53 PM and 2:05 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0 + -2 + 1 - -68. Suppose w + 0*w = k. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1660 + -1?\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zz when two letters picked without replacement from nzzznnnnnnnnnn?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n**3 + 7*n**2 - 8*n + 2. Let z be u(-8). Differentiate -5*r + 2*r + r - z*r - 7 with respect to r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40811121 to the power of 1\/3, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 18 and 40288?\nAnswer: 362592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -183 - -327. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4 + 5 + 17 - 3*f**2 - 7 - 2 - 21*f as m + x*f**2 + u*f and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 8568377 and 5699.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -104425 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7343 is divided by 7324.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 123247 is divided by 2236?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 4*q - 2*q = 30, 0 = 2*q. Let n = -160 + 161. What is the lowest common multiple of 11 + -1 + n - (17 + -13) and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24.7 times -0.02?\nAnswer: -0.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*p - 5*t + 19, -3*p - 2*t = -4*t + 13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 13 = o - 3, -o + 80 = 5*b. Is 16 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -10*j - 3. Let t = -44 - -40. Let f(b) = -1. Let c(l) = t*f(l) + v(l). Let z be c(-1). Solve -3*h + k + z = 0, 3*k - 6 - 9 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 42 by -14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -10*z**2 + 97*z**2 - 46*z**2 - 38*z**2. Let p(b) be the first derivative of 37*b**3\/3 - 2. Give q(p(t)).\nAnswer: 4107*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 429 minutes before 7:23 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (12 - -2)*((-12)\/(-682))\/((-1645)\/2585)?\nAnswer: -12\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pfpf when four letters picked without replacement from ppppfppppfpp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -90*o**2 - 5. Let a be -1 - ((0 - 4)\/4 + 2). Let l(v) = -45*v**2 - 2. Let k(d) = a*w(d) + 5*l(d). Let p(q) = 2*q**2. Determine p(k(h)).\nAnswer: 4050*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) 31.3 (b) 1\/4 (c) -31641\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-638)\/(-8) - 2\/(-8). Let q(g) = -20*g - i + 80 + 13*g. Let z(w) = -w. Calculate z(q(t)).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 290*z - 5*z**2 + 578*z - 283*z in the form d*z**2 + a + y*z and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = c - 234, -3*q = -3*c - 31 - 137. Let d = q - 46. Solve -4*z = -4*f - 16, -3*f + d = -6*f + z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z. Let f(q) = -17574*q. What is f(v(o))?\nAnswer: 17574*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 7031541103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**3 - 5070*y**2 - 131088*y + 282464.\nAnswer: -(y - 2)*(y + 28)*(y + 5044)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -6*g*q*r - 1675*g*q + 210*g*r + 269*g + 465*q - 3*r wrt q?\nAnswer: -6*g*r - 1675*g + 465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 5\/6 of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = -19 + 67. Let o = -5 - -1. Let f = o + r. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k and 2 e when four letters picked without replacement from {v: 1, e: 3, g: 1, k: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -18541 = 1291*x - 460*x + 19685 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 910899 and 1144?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2772\/(-189)*15\/(-20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-246)\/(-24))\/(((-3)\/44)\/(-3)).\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3\/(-2 + (-28)\/(-8)). Suppose 2*j - 62 = x*t, 3*j + t = 2*j + 21. Calculate the remainder when j is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 55824 and 4770.\nAnswer: 44380080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = -7 - 3. Suppose -k + 2*k - 42 = -4*a, -2*k = d*a - 54. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 4*x**3 - 5*x**2. Calculate the smallest common multiple of 24 and u(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.5 and -0.062376?\nAnswer: 0.031188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r**27)\/r*r*r)**(-27)*(r*r*r\/((r\/((r\/(r**(-21)\/r))\/r))\/r*r)*r)\/((r**23\/r)\/r) assuming r is positive.\nAnswer: r**(-779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - (-96)\/(-54))\/((-4)\/3)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*p - 16*p = 4*h + 17, -4*p = -2*h - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p = -4*z + 6, 5*z + 75*p - 12 = 71*p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 1102*r**2 - 11 + 9.\nAnswer: 1102*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 less than -478925?\nAnswer: -478924.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 - 10)*(0 - 1 - 1)*(2*m - 3*m**2 - 2*m).\nAnswer: -54*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that -c**2\/7 - 36284924*c\/7 - 329148927421444\/7 = 0.\nAnswer: -18142462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6570 and 7346574.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What comes next: -34591926, -69183854, -103775782?\nAnswer: -138367710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(40) + (sqrt(4840) - sqrt(4840)*2))\/(sqrt(8)*1*6) + 1.\nAnswer: -5*sqrt(5)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -3 + 4037\/(-385) + 1*(-111)\/(-21) + -6\nAnswer: -71\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, 297, -1\/6, 2, -16, 0.3 in decreasing order.\nAnswer: 297, 2, 0.4, 0.3, -1\/6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1932 = 301*c - 273*c. Is c a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 299*t**2 - 104*t wrt t.\nAnswer: 598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -175, -225, -265, -301, -339, -385, -445?\n\"Answer: -s**3 + 11*s**2 - 76*s - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + sqrt(1008) + 5 - -5*(sqrt(252) + (sqrt(252) + 2)*2)) + 3)**2.\nAnswer: 6120*sqrt(7) + 73728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-100)\/(-6) + (-1)\/(-3). Let x = -12 + i. Solve -3*a + x = 5*y, -6*a + 7 = -5*a + 3*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 146874 divided by -42?\nAnswer: -3497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5855818?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = 17 - -10. Let p be (-6)\/v + 2\/9. Suppose 38 - 13 = 5*j. Solve m - j*m + 4 = p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 4) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.059 + 0.241. Let c = -82 - -87. What is the nearest to 1 in c, n, 13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 122 + (-1185 - -1160) + (0 - -17)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, z: 1, p: 2, m: 2, y: 1, g: 1}. What is prob of picking 2 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 17061 and 2114112?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -5 + 3 + 2 + (3 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -590*v - 3504. What is q(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 4623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*u - 113 = 559. What is the smallest common multiple of u and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.02 + 0.28. Let m = -10 + 12. Let v be m\/6 + (-1)\/(-3). Which is the biggest value? (a) g (b) v (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*l + l + 0*l)*(0 - 7 + 62)*(-20 - 70 + 171)*(3*l**2 - l**2 - 3*l**2) to the form g*l + t + b*l**3 + u*l**2 and give b.\nAnswer: -4455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 237*j**5 + 838*j**4 + 526944*j**2 wrt j?\nAnswer: 14220*j**2 + 20112*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.04 - -0.03. Let y = 123 - 331. Let o be (-12)\/2 - y\/39. Is o less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 4 - 6*v - 3 + 1.\nAnswer: -6*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1 (b) -13 (c) 0.4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 14, -10, -5 in descending order.\nAnswer: 14, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6088 + -12153. Suppose 2*m - 2*g + 20522 = 0, m + 5*g - 4529 + 14814 = 0. Let q = i - m. Round q to the nearest one hundred.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 7, 80, 1?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 5*a**4 + 13895*a**3 - 1623515*a**2 - 18971785175*a - 37936965210 = 0. What is a?\nAnswer: -1909, -2, 1041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be 8\/1*(-34)\/136. Let d(j) = -16*j - 28. Let c be d(i). Solve 2*l = -3*t + 2*t - 14, -c*l + 2*t - 12 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.4 (b) 24588 (c) 4\/5 (d) 289 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2) + -3 + -5 - sqrt(2))**2 + (sqrt(242)*3)**2 + sqrt(242).\nAnswer: 11*sqrt(2) + 2242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 218\/57 + -11333\/3306. Let f = t - -3\/29. What is the closest to 1 in -2\/55, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -179.4, -0.26, 63\/11, 3?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0.5, -2\/5, -5\/3, 162, -3 in descending order.\nAnswer: 162, 4, 0.5, -2\/5, -5\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**3 - 3*f**2 + 4. Let j be n(3). Let y = -7011 + 7011. Solve y*d = j*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 82\/16065 and 74\/1413.\nAnswer: 2522205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 343983?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y**3 - 7*y**2 - 9*y - 14. Let a be g(-6). Suppose 5*f - 4*m = -3*m + 7, -3*f + 18 = a*m. Suppose 211 = f*w + 57. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 32 + -28. Suppose -a = p*a - 75. Find the common denominator of 79\/21 and 186\/8 - (a - 15).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.02572854 to 4 decimal places.\nAnswer: 0.0257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = 2*h - 20, 0 = h + y + 5. Suppose -4*d + 16 = 4*i - 0*d, h = -i - 5*d. Suppose 5*r + 22 = -3, i*a - 2*r - 20 = 0. Solve -3*g + a*g = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 2*y - 3. Determine l(15).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -55*k**2 + 3740*k - 7. What is n(68)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -5\/4, -5837, 2\/15, -4 in increasing order.\nAnswer: -5837, -4, -5\/4, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r + 3. Let b = -5 - -5. What is the least common multiple of 8 and u(b)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3807 and 2397?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*w + 4*p + 9123, 2*w - 4*p = 4865 - 1223. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 109 - 83. Calculate the remainder when i is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -307, -614, -919, -1222, -1523, -1822, -2119?\n\"Answer: l**2 - 310*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 544510 - -2?\nAnswer: 544512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 6*o + 12 = 0. Which is the closest to 0? (a) -9 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -4, 1\/20, 84, 18, 8, 5?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 184 - 183.8. What is the fourth smallest value in 2\/5, v, -0.08, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -244435 - 53?\nAnswer: -244532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m = 5*g + 32, -4*m - 5*g - 9 = -1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 2 - 5 = 0. Find the third derivative of 4*z**5 + 4*z**2 - z**2 - d*z**2 wrt z.\nAnswer: 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**2\/9 - 105424*s\/9 + 1389277472\/9.\nAnswer: 2*(s - 26356)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 7 = h. Let u(w) = -w**3 + 8*w**2 - 8*w - 20. Let v be u(6). Suppose 0 = v*k - h - 71. What is the smallest common multiple of 16 and k?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -6.460285 to 1 dp.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -5591, -5592, -5593, -5594, -5595, -5596?\n\"Answer: -j - 5590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3792 + -3788. Suppose 4*j = l + 156, -4*l + 4 = -3*l. Suppose 0 = -m*w + j - 12. Solve -w = -3*h + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 71\/27 and -1\/4160346.\nAnswer: 37443114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8, -20, -38, -62, -92, -128, -170?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-2))**24*(i\/(i\/i**(-5\/6)*i)*i*i)\/(i\/i**(-5)) assuming i is positive.\nAnswer: i**(-323\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 8 or -14048?\nAnswer: -14048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Are 2 and -2125 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 495 is divided by 68?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = -95.918 + -0.082. Let h = -321 - c. Let d = 264.1 + h. What is d rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i\/(i\/(i**5*i))*i)\/i**6)\/(i*i*i**(1\/5)*i\/(i\/(((i*i**7\/i)\/i)\/i))))\/(i**(2\/3)\/(i*i\/(i**(-5\/3)*i))*i**4\/i**(-6)) assuming i is positive.\nAnswer: i**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q*q**(1\/3))\/q)\/(q**0*q))\/((q*q*q*q*q**(3\/11))\/(q*q**0))*(q\/q**(-6)*q**(-1\/3))**16 assuming q is positive.\nAnswer: q**(1130\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -3*n**2 - 2*n - 8. Let t(r) be the first derivative of r**3 + r**2 + 7*r + 10028. What is 5*t(x) + 4*w(x)?\nAnswer: 3*x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -24, -28, -20, 6, 56, 136, 252?\n\"Answer: q**3 - 11*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 226396, 452938, 679480?\n\"Answer: 226542*p - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-3*2*sqrt(133)*-5)\/(sqrt(56)\/(sqrt(8)*1) + sqrt(224)\/sqrt(8)).\nAnswer: -50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -d + 5. Let o(y) = -y**2 + 5*y - 3. Let s be o(3). Suppose -5*i + 13 = -3*j, s*j - 4*i - 27 = -7*i. What is the units digit of x(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*m + 6*m - 3*m)*(-1 + 1 + 1) + (-4*m + 2*m + m)*(6 + 2 - 3) - 3*m - 3 + 3.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 446\/2*(0 - -2)?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 623 minutes after 9:55 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 94 a factor of 22748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 121 - 11*s**2 - 2*s**3 - 6*s - 121 + 36*s**2 to w*s + l*s**3 + x*s**2 + m and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.014464 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -672 minus -17696.067557?\nAnswer: 17024.067557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 9.540361 millennia in months?\nAnswer: 114484.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 25 + 23. What is the lowest common multiple of 6 and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 18569\/(-1198) + 1*19. Let o(g) be the second derivative of -3\/5*g**5 + 0 + 0*g**2 + 13*g - 27\/4*g**4 + u*g**3. Solve o(n) = 0.\nAnswer: -7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4871362482 to the power of 1\/2, to the nearest integer?\nAnswer: 69795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 418 - 417.9627. Let z = 0.039 - i. What is z rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 20*u - 25. Calculate the remainder when s(6) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2047, 4, 0, -5, -1002 in descending order.\nAnswer: 2047, 4, 0, -5, -1002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2872705, 5745411, 8618115, 11490817, 14363517?\nAnswer: 17236215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 124934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*x + 8*r - 5*r - 670, -r - 340 = -2*x. Suppose -5*f + z = -157, 0*f + 3*z = -5*f + x. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h**(-2\/7)\/h)**46\/((h\/(h\/((h\/(h**(-2)*h*h))\/h)))\/h*h\/h**(2\/13)*h*h))**(-1\/11))**(1\/12) assuming h is positive.\nAnswer: h**(925\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = 9452\/13 - 727. Let u(c) be the second derivative of -1\/130*c**5 - 1\/13*c**3 + 7*c + 0 + r*c**2 + 1\/26*c**4. Factor u(o).\nAnswer: -2*(o - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4384, 52340, 132260, 244138, 387968, 563744, 771460?\nAnswer: 1011110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the first derivative of 2*r**2 + 18*r + 3369. Calculate s(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i*i\/(i**(-16)\/i)*i)\/(i**(1\/5)*i))\/(i**1)**(-30\/13))**(10\/13) assuming i is positive.\nAnswer: i**(2744\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h, 2 r, and 1 k when four letters picked without replacement from bbbbhhkbkrhbrkkbb.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 3 = n - 48, -3*n + 4*o = -113. Calculate the remainder when n is divided by 3 + (418\/22 - (0 - 1)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1701815 is divided by 170000?\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (7\/(-7))\/((-3)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d - 10. Let t = -65 + 472. Suppose 2*k + 89 = t. Let c be k\/33 - 6\/(-33). Calculate y(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**(-1\/2))\/(o*o**(4\/9)))**(-33) assuming o is positive.\nAnswer: o**(187\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(315)*-5)\/(3*-2*sqrt(7)).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -118 = -5*z - 13. List the prime factors of 0 + z + (-12)\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor o**4 + 109*o**3\/2 + 756*o**2 + 729*o\/2.\nAnswer: o*(o + 27)**2*(2*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 50399408 to the nearest integer?\nAnswer: 7099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -11 = 4*k + 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -159 + 161. What is the third derivative of 2*r**2 + 11 + p + 9*r**4 + r**6 - 13*r**4 + 3*r**6 wrt r?\nAnswer: 480*r**3 - 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*y + 8, -2*k + 16 = -5*y - 20. Suppose -5*a = -k + 3. Suppose 5*j - a*u - 165 = 0, -j - 3*j - u + 152 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 99\/4 and 81\/30164.\nAnswer: 30164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -4*v**2 - 18*v + 13. Let f be m(-5). Solve 0 = 4*l + 7*n - f*n + 12, 4*n = -8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -5, 16 in decreasing order.\nAnswer: 16, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 57 and 2036805?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -47 - -48. Which is the smallest value? (a) 5 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 37\/2 - 19. Let n = 385 + -387. Let w be -3 + 23\/5 + n. What is the second biggest value in -0.8, a, w, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z**3 - z**2 + 2*z - 1. Let l be o(1). Is (-6 + (l - -1))\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 + ((13 - 4) + -3 - (0 + 4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 85*u - 67. Let x(r) = -86*r + 66. Let d(b) = 3*v(b) + 2*x(b). Let k(p) = -28*p + 23. Let c(j) = 6*d(j) + 17*k(j). Differentiate c(h) wrt h.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 98*s - 2 + 2 - 101*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1831606195 to the nearest integer?\nAnswer: 42797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3618, -7359, -11220, -15195, -19278, -23463, -27744, -32115?\nAnswer: -36570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(((sqrt(700) + 2*sqrt(700))**2 - (sqrt(7) + 0 + sqrt(28))) + ((sqrt(7) + 3 + 0 + sqrt(7) + sqrt(7) + sqrt(7))*3)**2).\nAnswer: -7389 - 213*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 7393739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 93*b**2 + 4785*b + 145173. Let y(t) = -7*t**2 - 368*t - 11167. Let k(i) = -2*r(i) - 27*y(i). Find g such that k(g) = 0.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*q - 20*q + 83817 = m, -4*m + 335289 = -5*q. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 232 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-9 + 1 + 2)*(-1 + 1 + 3045*z - 3941*z) to b*z + n and give b.\nAnswer: 5376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p*p*p\/p**4*p**0)\/(p**(-2\/3)*p**(2\/5)*p) assuming p is positive.\nAnswer: p**(-11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 1347.6, 30, 2, 63 in decreasing order.\nAnswer: 1347.6, 63, 30, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 73 (base 10) to base 7\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5178?\nAnswer: 2, 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2790)\/(-3255))\/(6\/(-105)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, 2\/48181, 5\/3, 21?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 15 + -13. Solve -6*l + f*l - 8 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00894737576 rounded to 6 dps?\nAnswer: 0.008947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify y*y*y**(-1)\/y*y*y**6*y*(y*y**8\/y*y)\/(y*y\/(y\/y**(2\/11)))*(y\/y**(7\/3)*y*y*y\/(y*y**1*y))\/(y\/y**(-1\/2)*y)**4 assuming y is positive.\nAnswer: y**(148\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 340 - 21c5c?\nAnswer: -2191c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -2950.2*0.177\nAnswer: -522.1854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 30310 and 6495.\nAnswer: 90930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 5*k + 233 = -78, 0 = -r - 3*k + 99. What is the lowest common multiple of r and 33?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**(-1)*g)**24*g**(5\/3)\/((g*g**1\/g)\/g*g) assuming g is positive.\nAnswer: g**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/2 - 4392\/(-48). Let l = f + -91. Let o be (-180)\/(-18) + (-3 - l). Solve -4*n + o = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 2. Let y(v) = v - 2. Suppose 5*t + 27 = -r, 55 - 70 = -5*r. Calculate t*n(a) - 4*y(a).\nAnswer: -4*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 250025544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 14 and 53874926.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 2*o = 30, s - 35 = 2*o + 15. What is the remainder when s is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z + 5*t = -z - 26, -10 = 5*t. Are z and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 11 + 3)*(-j + 3*j - j)*(8 - 5 + 0)*(2 - 1 + 1) + 3*j - 2*j + j - 2*j - j + 5*j.\nAnswer: 52*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 41759 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -2*r**2 + 6*r - 50. Let i(f) = -3*f**2 + 5*f - 47. Determine 4*g(c) - 5*i(c).\nAnswer: 7*c**2 - c + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -2*i. Let g(r) = 411*r**2 - 8*r + 2. Give u(g(x)).\nAnswer: -822*x**2 + 16*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) 131 (b) -4 (c) 1\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 2*n - 11. Let i(r) = -8 + n*r + 8. Let y(q) = q. Give y(i(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15\/30*(20\/12 + -2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13 + 0*w - w**3 - 3*w + 3*w.\nAnswer: -w**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(-1 + 3 + (2*(sqrt(200) + sqrt(200)*2))**2)*2.\nAnswer: 57616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 193 + -188. Is 1\/(-2) - ((-3159)\/18 - g) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Convert 1011110001111 (base 2) to base 4.\nAnswer: 1132033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - (-7 + 9)) + 4 - 3 - 18?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + (-6*(5*sqrt(720) + sqrt(720)) - sqrt(720)))*-1 + 4*(-5*sqrt(720)*-2 - ((sqrt(720)*2 - sqrt(720)) + 3 - sqrt(720))))**2.\nAnswer: -24024*sqrt(5) + 4269049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 66 = -0*z. Suppose -4*n + 5*f = 17, 3*n + 12 + 7 = 5*f. What is the highest common divisor of n and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2903 and 973?\nAnswer: 2824619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from dhfshss.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 154.663 - -0.337. Let v = 1224149 - 1224304.0034. Let x = o + v. Round x to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.135 + -0.741. Let p = j - 0.124. Sort p, -5, -1\/2 in descending order.\nAnswer: -1\/2, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from exexexxsssxeseee.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(343) - (2 + sqrt(343)))*-5 + -4*(sqrt(196)\/sqrt(7) + sqrt(7) + -3).\nAnswer: -12*sqrt(7) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = -2*r + 1, 341 = 3*b + 2*r. Let j = b + -27. What are the prime factors of j?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**2 - j + 1. Let f(g) = 2*g - 11. Let d be f(3). Suppose 43 = -4*i + 11. Let u = d - i. Calculate o(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 43021 - 3?\nAnswer: 43014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -423076 (base 10) to base 15\nAnswer: -85551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*q + 181 = -80 + 8 - 43 for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = 2*k - 60808, 4*p - 6*p = -2*k - 60792. Let i be p\/(-6)*(-825)\/2. Round i to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 11 + 152. Let q = 108795461210.999999858 + -108795461374. Let c = a + q. What is c rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) 4 (b) 36617 (c) 1\/4 (d) -3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9 - -34. Suppose 5*d + 2*h = 410, -5*h - y = 3*d - 252. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 132*w - 10*w**3 + 136*w - 2 + 124*w + 7*w**4 - 390*w - 2*w**2 + 19*w**4 as n*w + i*w**3 + p*w**4 + d + m*w**2 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -5*q**2 - 10*q. Let c(l) = -l**2 - 2*l. Let k(s) = -22*c(s) + 4*z(s). Let y be k(-3). What is the remainder when (28 - y) + 8\/(-2) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1212*j + 1020*j + 46872 = 0 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 75228 and 14.\nAnswer: 526596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**3 - 8*l**2 + 11*l + 20. Let r be n(-9). Suppose -r*v = 4*f - 1174, 3*f = -2*f + 5*v + 1460. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a = -2*a - 4. Suppose 0 = -3*b - l + 7, -5*b + 40 = -4*l. Let n = b - a. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (10 + 3*g - 10 + (0*g - 4*g + 2*g)*(14 + 23 + 1))*(3 - g - 3).\nAnswer: 73*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/(-6)*(-7)\/(-42).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) be the third derivative of c**8\/84 - 2*c**7\/105 - c**6\/10 + c**5\/15 + c**4\/3 - 10*c**2. Determine r so that z(r) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the third derivative of 0 - 1\/150*g**5 + 1\/600*g**6 + 0*g + g**2 + 1\/120*g**4 + 0*g**3. Determine f, given that p(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 87 a factor of 71878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 850753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 7519370, 7519379, 7519384, 7519385?\n\"Answer: -2*a**2 + 15*a + 7519357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1329\/4 - -332. Let u be (-9)\/10 + 0 - (8 + -9). Which is the closest to k? (a) u (b) 16 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -14459 times 2866\nAnswer: -41439494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.04 (b) 2\/5 (c) 4 (d) 84 (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 2 = -7. Suppose 4*s + 0*c + x*c = -5, -3 = 3*c. Solve -2*i - 4*i + 12 = s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 10 and 257085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2418 + 2419. Let u = -7201\/21 + 343. What is the third biggest value in k, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1282 < -1283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: ((-945)\/(-252))\/(26\/(-2) + 11)\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 798*f**3 + 2*f + 8. Let b(g) = -g**3 - g - 1. Let n(h) = 8*b(h) + o(h). Find the second derivative of n(c) wrt c.\nAnswer: 4740*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**2\/3 + 9631*y\/3 - 380440.\nAnswer: -(y - 9511)*(y - 120)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -2*m**2 - 2*m - 3. Let s be f(5). What is the common denominator of ((-5)\/(-2))\/(s\/(-54)) and 1*43\/14*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 219*c**2 - 7 + 2 + c**3 - 3*c**3 - 10*c + 245*c**2 - 465*c**2 to l + f*c + b*c**2 + y*c**3 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -15*b**3 + 2*b. Give g(-2).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 154 - 55. Suppose 4*l + 3*a - t = 4*a, -5*a - 120 = -5*l. Calculate the highest common factor of 25 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -2*r. Let v(i) = 38*i + 7. Let n(w) = 26*w + 5. Let f(l) = -7*n(l) + 5*v(l). Calculate -2*f(u) - 12*q(u).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*i - 131564 = -97*i + 17*i. Calculate the remainder when i is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.12138362767 to 5 decimal places.\nAnswer: 0.12138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 3, v: 6, p: 2, x: 1}. Give prob of picking 1 v and 1 p.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -50*q**3 + 2*q**2 + 22*q**3 + 29*q**3 - 3*q - q**3 + 3*q + (q + 0 + 0)*(-2*q**2 + 3*q**2 - 2*q**2) + 5*q**2 - 2*q**3 - 5*q**2.\nAnswer: -3*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -83, -2475, -9109, -22151, -43767, -76123, -121385?\nAnswer: -181719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 14*q**5 + q**2 + 210*q wrt q.\nAnswer: 280*q**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -790 - -898. Calculate the highest common divisor of 135 and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, y: 2, j: 1, g: 1, f: 2, q: 1}. Give prob of sequence jy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 2325*h**2 + 2*h + 2690*h**2 - 3 - 5019*h**2. Let o(v) = -v**2 + v - 1. Let y = -15 + 21. Determine y*o(j) - 2*c(j).\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sum 1901 and -5.\nAnswer: 1896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 52800 = -3*t + 2*i, -2*t + 35200 = i. What is t rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -60*a - 5. Let m be g(-1). Suppose 0 = -49*x + 48*x + m. Let j = -38 + x. What is the remainder when j is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 181 + -160.9. Let d = o + -21. Let j = -132.14 + 132.08. Which is smaller: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 11*c**3 - 16*c**2 + 25*c + 62. What is the thousands digit of y(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 828 and 7.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2686 + -4?\nAnswer: -268a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -433718 divided by -90.\nAnswer: 216859\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 - 0. Let x(h) be the third derivative of h**5\/60 + h**4\/24 - 5*h**3\/6 - 11*h**2. Determine x(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 264643329 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2.093*0.2.\nAnswer: 0.4186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i**3 - 5*i**2 - 16*i + 30. Let u be c(6). Let m = u + 462. Solve m = -9*j + 3*j - 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 1619*s - 9710. Let j be o(6). Let q be ((-1)\/(-2))\/(3\/6). Let g(z) = -z. Let d(r) = 5*r - 5. What is j*g(p) + q*d(p)?\nAnswer: p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-15)\/(-6))\/(-5) + 1\/(310\/135).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j**3 + 320*j**2 - 655*j + 330 = 0. Calculate j.\nAnswer: -66, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(684)*-1*4 + (3*sqrt(19) - sqrt(19)) + -1 + -3)**2.\nAnswer: 176*sqrt(19) + 9212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g - m - 22 = -9, 6 = -4*g - 3*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in seventeen halves of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/5, -538, 16\/23 in descending order.\nAnswer: 16\/23, 1\/5, -538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 59809001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(1584) + (sqrt(1584)*2)**2 - sqrt(1584)) - sqrt(1584) - sqrt(1584).\nAnswer: -24*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -758 - -939. What is the remainder when v is divided by 58?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/5? (a) 0.5 (b) -4\/5 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 137 minutes after 1:36 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*w**5 + 8*w**2 - 2*w**3 + 2*w**3 wrt w?\nAnswer: -240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1885)\/104)\/(145\/(-928)*2).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b - 116 = -2*r, 0*r - 3*r = -11*b + 38*b - 762 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 343\/8 - 1769\/40. Let a = -2\/73191 + 243187\/146382. Calculate the common denominator of t and a.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7345.\nAnswer: 5, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 807980*x**3 - 586098*x**2.\nAnswer: 4847880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -9882 - -9944.11. Let z = f + -72.4. Round z to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 528 minutes before 5:51 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + 3*b**3)*(2*b + 2*b - 3*b)*(2*b + 2*b + 0*b) + (4*b - 4*b - 2*b)*(0*b**4 + 0*b**4 - b**4) + 184*b**5 - 94*b**5 + 84*b**5.\nAnswer: 188*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 540793565 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vtvvvtvvvvvt. Give prob of picking 2 v and 1 t.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (119\/(-34))\/(21\/(-246))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify y*y**(3\/2)*y\/(y*y*y*y**(-1\/40)) assuming y is positive.\nAnswer: y**(21\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 198 and 234.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, -3, -0.5, -3\/10, -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 544 - 544 + 2*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/1353099 and -101\/1048?\nAnswer: 10824792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -5*v**2 - 6*v - 1. Suppose 7*k = 19*k + 72. Let z(l) = -4*l**2 - 5*l - 1. What is k*z(s) + 5*p(s)?\nAnswer: -s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 3656*f - 32867. What is u(9)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-5 + sqrt(1100) + sqrt(1100) + 4 + sqrt(1100) + -3)**2.\nAnswer: -19832 + 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:35 AM and 6:45 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2111670375491468908393\/13584250 + 155449905257300. Let w = 2\/101375 + k. Calculate the common denominator of w and 65\/12.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -654*s**3 + 2*s**2 - 9627*s - 9620*s + 1 + 19247*s - s**2 as r + o*s + j*s**3 + n*s**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:53 PM and 7:56 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -36 + 20. Let b = x - -16. What is the second biggest value in 2\/3, -1\/6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*b + 2*b - 4*b)*(16*b**3 + 19*b**3 - 2*b**3) - 78*b**4 + 2383*b - 2383*b - b**4 + 3*b**4 - 3*b**4 to h*b**4 + x*b + o*b**2 + u*b**3 + r and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the second derivative of 11*c**8\/56 - 5*c**4\/12 + c. What is the third derivative of r(x) wrt x?\nAnswer: 1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 100*n - 401. Is v(18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 33, 23, 3, 4.\nAnswer: 3, 4, 23, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 5885*k + 2804*k = -564785 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 87*y - 76. Let u(c) = -29*c + 25. What is 3*m(b) + 10*u(b)?\nAnswer: -29*b + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(1 + sqrt(833))**2 - ((sqrt(204)\/sqrt(4))\/sqrt(3) + (sqrt(153)*-2 - sqrt(153))**2).\nAnswer: -4713 - 57*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7290 - -597. Calculate the highest common divisor of 33 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000152 rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -328794, -657535, -986216, -1314807, -1643278, -1971599, -2299740, -2627671?\n\"Answer: 5*w**3 - 328776*w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1978098.2 rounded to the nearest 1000?\nAnswer: 1978000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 28*o**2 + 5*o + 6. Let w = 132 + -129. Let h be g(w). Calculate the highest common divisor of h and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 3}. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 8436234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2*(-6)\/4)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -210*z**3 + 30*z**4 + 3 - 2*z**3 + 3*z + 210*z**3 to l*z**3 + c*z + r*z**2 + p*z**4 + x and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that -2*a**2\/13 + 16*a\/13 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = -2*c + 66. Let q = -19 + c. Let j be (-1)\/(-2)*-1*0. Solve -5*f + f + 32 = 3*x, -q*x + 2*f + 2 = j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**3 + 8*y**2 - 5*y - 15. Let b be q(7). Is b not equal to -1\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -80 - -75. Let b(s) = -4 + s - 2*s + 2*s - 1 + 5*s**2. Let g(a) = a**2 - a. Let v(y) = b(y) - 4*g(y). Calculate v(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {y: 1, p: 1, v: 2, x: 1, z: 2, g: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -82, -157, -232?\n\"Answer: -75*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ummudzlmmzumuzk. Give prob of sequence uum.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -3*s + 14. Suppose -3 = -s*o - 4*p, o = -o + 2*p + 12. Solve o*x = 4*w - 0*w + 20, -5 = w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5681937097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 203748522?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 126 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -5*k + 72. Let w be d(14). Suppose 2*p = 5*x - 39, -2*p - 16 = -w*x - p. Calculate the smallest common multiple of 5 and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-6)\/14 - (72\/(-21) - 0). Solve -4*m + 7*y = 2*y - 40, -l*y - 37 = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the second derivative of -f**4\/12 + 4*f**3\/3 - 7*f**2\/2 + 5*f. Is 2 a factor of y(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 203 (base 5) to base 8\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 20 + 32?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nmkmnrknmknsnmrnn. Give prob of sequence kk.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -112 = 29*k + 178 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the third derivative of -19*q**6\/24 - 209*q**4\/24 + 20*q**2. What is the second derivative of z(f) wrt f?\nAnswer: -570*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**3 + i**2 - 1. Suppose 3*b - 2*m + 69 = 13, 0 = m + 2. Let q = b + 18. What is the tens digit of z(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2.5 + -2.45. Is u >= 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that 4*u**2\/3 + 540364144*u + 54748764022659888 = 0.\nAnswer: -202636554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -33, -1\/4, 13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 2*c**3 - c**2 - c + 2921. List the prime factors of l(0).\nAnswer: 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -14 + -c7?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -255*a + 275*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*q = -563 + 551 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mmy when three letters picked without replacement from {x: 7, j: 1, m: 3, u: 2, y: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the third derivative of -f**5\/10 - f**4\/12 - 17*f**2. What is s(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 285961.3l?\nAnswer: 285961300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -426*h + 474*h = -432 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*r - 17*r - c = 0, -3*c = 3*r. Suppose 5*u = 5*z + 10, r*z - 5*z = 3*u - 14. Solve -16 = 5*x - z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 268300000 to the nearest one million.\nAnswer: 268000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5287?\nAnswer: 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 24*h**2 - 12*h - 15. Is t(-6) 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 66177, 66179, 66181, 66183, 66185?\n\"Answer: 2*x + 66175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 514108*c**4 - 2*c**3 - 12*c**2 - 23*c + 37?\nAnswer: 12338592*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is ((-2274)\/15)\/(2\/(-5)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-f + 4*f - 5*f)*(18 + 42 - 19)*(-1 - 4 + 4) to the form d + m*f and give m.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 58397701?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -5*87309\nAnswer: -436545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 44*v**2 + 271*v + 353. Calculate h(-5).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7245 + -346. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*l**5\/19 + 328*l**4\/19 - 11160*l**3\/19 - 103872*l**2\/19 - 22528*l\/19 = 0. Calculate l.\nAnswer: -32, -8, -2\/9, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (18791 - 7255 - 5392)*(0 - 2 - k + 1) to c + l*k and give l.\nAnswer: -6144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -72 take away 42677507401?\nAnswer: -42677507473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/9, -0.1, 99139, -0.5, -2\/7 in decreasing order.\nAnswer: 99139, 4\/9, -0.1, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 310550.\nAnswer: 2, 5, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 9000 = 5*d, -6*d = -8*d + 4*f - 3600. Round d to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5013 - -5?\nAnswer: 5022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*c = -101 + 11. Calculate the smallest common multiple of c and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eglx when four letters picked without replacement from gxebgguxggllguxbgeg.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -49 take away 68?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 3208342515 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 228329 or 228297?\nAnswer: 228329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 420 (base 5) to base 10\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the first derivative of 50\/3*w**6 + 0*w**5 + 0*w**3 - 13\/2*w**2 + 86 + 4*w + 0*w**4. What is the second derivative of o(l) wrt l?\nAnswer: 2000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2.19442 to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -270*q**3 - 4*q**2 - 2*q - 2. Let j(x) = -539*x**3 - 7*x**2 - 4*x - 3. Let m(r) = 5*c(r) - 3*j(r). What is the remainder when m(1) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.994 + 1.\nAnswer: 2.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1628 - -5188. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/((-77)\/(-7)))\/((-42)\/(-6)).\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -8915622 by -8.\nAnswer: 4457811\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 18*k - 9*k - 5*k. Let q(t) = -3*t. What is q(m(s))?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 8 and 1943?\nAnswer: 15544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 19147320 rounded to the nearest ten thousand?\nAnswer: 19150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6790 + -6698. Let n(m) = 13*m - 6. Let b be n(6). Let c = f - b. Calculate the smallest common multiple of 36 and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4112881.29 minutes to weeks.\nAnswer: 408.0239375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 3 - 7 = 0. Let r(f) = f**2 - 6*f - 15. Let c be r(8). Let n(u) = u + u - c + 0*u + 2*u**2 - 2*u**3 - 1. What is n(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.1 - -17.9. Let x = -17.996 + v. Round x to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4289*h**3 - 8 + 1 + 4 + 4294*h**3 + 3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 29738, 29722, 29706, 29690?\n\"Answer: -16*h + 29754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -120*i + 123*i - 15087 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -687\/33239 - 2\/773. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 494 and 76?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1752 + -1032. Factor 4*n**4 + 472*n**2 - i*n + 324 - 18*n**3 - 47*n**3 - 15*n**3.\nAnswer: 4*(n - 9)**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -k**2 + k. Let l be t(1). Let p be 0 + 1 - l - -1. Find the third derivative of -5*z**2 + 2*z**p + z**2 + z**6 wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from osohsshhohsh. Give prob of picking 3 h and 1 s.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21565762*z - 248*z**2 - 21565762*z + 55*z**2.\nAnswer: -193*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 177610069?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 101\/36 and 125\/104448?\nAnswer: 313344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 9*d**2 + 26*d + 18. Let x(b) = -4*b**2 - 13*b - 9. Let k(f) = -3*l(f) - 7*x(f). Let h be k(-12). What is the second biggest value in 1\/24, 5, h?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u**3 - 2211260*u**2 + 48649535*u - 267575770 = 0. What is u?\nAnswer: -442274, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*a = -5*a + 480. Let q = a - -201. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 140295\/41790 - 1\/14\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 46686976 divided by -182371.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 22ba0 (base 13) in base 14?\nAnswer: 19201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-3)\/4)\/((-5)\/60). Suppose -4*u = -z*u + 15. Solve -u + 5 = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 57\/224 and -83\/41552.\nAnswer: 83104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 27370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 534\/(-267)*3*-2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 474 and 7233?\nAnswer: 1142814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2208 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = -58.65 - -58.6. Which is the nearest to -1\/2? (a) f (b) -1 (c) -0.5 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*f - 9764 + 9764.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*o + 8*o**3 + 5*o**3 - o**3 - 8*o**3.\nAnswer: 4*o**3 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 6*p + 83 = -2*p, 3*p + 47 = 2*l. Solve -10*y + 1 = -l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((x\/(x**(-3\/10)\/x)*x)\/(x*x**(-2\/5)*x))\/(x**2\/(x**(-2\/13)\/x)))**(1\/26))**(-13) assuming x is positive.\nAnswer: x**(189\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose u**5\/4 - u**4\/2 - 7*u**3\/4 + 5*u**2 - 3*u = 0. What is u?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -41*b**2. Let n(d) = -3*d**2. What is h(n(z))?\nAnswer: -369*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3736 is divided by 933?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 137, 1246, 4281, 10208, 19993, 34602, 55001?\n\"Answer: 161*h**3 - 3*h**2 - 9*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-285)\/(-42))\/(12 - 1890\/147) + 8?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 42160187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be -3 + (4 - (-3)\/(-1)). Let a(c) be the third derivative of c**5\/60 - c**4\/12 + 2*c**2. What is a(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:07 AM and 7:58 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -1223.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = 2*l - 16, -g - 3*g = -20. Suppose 3 + l = 2*b. Suppose -b*n = -0*n. Is 2\/13 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-2\/5))**(-47)*y**8\/(y**(-8)\/y)*(y**(2\/9)*y*y**6\/y)\/(y**(2\/7)*(y\/(((y\/(y*(y\/(y**(2\/27)\/y))\/y))\/y)\/y))\/y) assuming y is positive.\nAnswer: y**(36676\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 39, 63, 103, 159, 231, 319, 423?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -8\/7 (b) -16 (c) 1\/3 (d) -1\/943\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -18, -4, 3 in descending order.\nAnswer: 3, -4, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in thirteen quarters of a second?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*u**5 + 0*u**5 + 3*u**5 + (-3 + 1 + 3)*(-3*u**5 + 2*u**5 + 0*u**5) + 23*u - 23*u + 20*u**5 + 19*u - 5*u**5 - 19*u.\nAnswer: 15*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 62052*k**3*u + 53*k**2*u**3 + 8713*k*u**2 + u**3 - 10*u**2 wrt k.\nAnswer: 372312*k*u + 106*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes before 4:05 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.0647 + 0.1647. What is the nearest to -1\/3 in -0.113, 2\/13, r, 2\/3?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/7, 1, -3, -2 in decreasing order.\nAnswer: 1, -4\/7, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1594 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 51 in 0.044, -4, 0.2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 471*h = 4*d + 475*h + 24, 0 = -5*d + 5*h - 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 25\/173469 and 71\/69.\nAnswer: 3989787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 15489967, 15489963, 15489957, 15489949, 15489939?\nAnswer: 15489927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9491226*v*y**3 + 8636*v*y**2 - 4*v*y - 2*y**3 - y**2 - 4 wrt y.\nAnswer: 56947356*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:48 PM and 4:42 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5432 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 0.7671444kg?\nAnswer: 767.1444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-32)\/(-10))\/((-2)\/(-5)). Let z be -2 - (-7)\/(14\/h). Sort z, -1, 5 in decreasing order.\nAnswer: 5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1315 + 2593. What are the prime factors of u?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**2 - 12*t - 36. Calculate h(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8848, -17661, -26474, -35287, -44100, -52913?\nAnswer: -61726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -260*i**3 + i**2 - i - 2. Suppose -2*f = 14 - 12. List the prime factors of l(f).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8 - -8.03. Let s = 0.27 + h. Let n = 97 + -94. Which is the second biggest value? (a) -5 (b) 0 (c) n (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 105425 bigger than 105424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.1322739ml?\nAnswer: 0.0001322739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 16 and 7034104?\nAnswer: 14068208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -38, -58, -82, -110, -142, -178?\n\"Answer: -2*p**2 - 14*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 26784?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -3*o**3 - 29*o**2 + 9*o - 18. What is t(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-1\/7)*((q*q*q**10*q)\/q)\/q)**(-2\/11)\/((q**(-2\/11)*q\/q**(-9)*q)\/((q**(-1\/3)*q)\/q*q\/q**(-5)*q)) assuming q is positive.\nAnswer: q**(-1415\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*w**2 + 3*w + 1945*w**3 - 1941*w**3 + w)*(-3 + 3 + 2*w).\nAnswer: 8*w**4 + 4*w**3 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(72))\/(sqrt(48)\/(sqrt(8) + sqrt(8)*2) + sqrt(6)).\nAnswer: 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1.111713 millennia in months?\nAnswer: 13340.556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 4.58 times -0.04\nAnswer: -0.1832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44164*d**2 - 213 - 207607*d**2 + 213.\nAnswer: -163443*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6.5 + -2.5. Let a = i - 2. Let g = -0.02 - 0.38. Which is smaller: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 2566 = -3291. Calculate the highest common factor of z and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 50*w - 60*w = -100 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 369655952.\nAnswer: 2, 353, 65449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 2.770742ml in litres?\nAnswer: 0.002770742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -15 (b) -1 (c) 2636\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-6250)\/(-8))\/((-3)\/(-2424)). Let j be n\/(33\/16 + -2). Round j to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -254957750 divided by -50991550\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -79 and -19.4?\nAnswer: 1532.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13595426?\nAnswer: 2, 13, 79, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3 - 6. Let h be ((-15)\/p - 2) + -1. Solve -4*m + 28 = -5*f, 4*f = f + h*m - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 2*r**2 + 760*r + 21646. Determine h(-31).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -30 - -42. Let q be i\/(-8)*(-2 + 36\/15). Which is the closest to q? (a) -2 (b) -4 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -202 + 7780?\nAnswer: 757a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 2\/3, 53 in decreasing order.\nAnswer: 53, 2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-10)\/4*(-17)\/85. Which is the closest to 0.07? (a) 2\/7 (b) y (c) -2\/9 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 958437\/8 >= 119805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - 5 - (-5 + 2)) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = -8*i + 6*i - 3, 3 = 4*i + 5*n. Let d be -5 - i - (2 - -1). What is the units digit of 0 + d + 10 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t**2 - 77228*t - 77229 = 0. What is t?\nAnswer: -1, 77229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -361, -609, -861, -1117, -1377, -1641, -1909?\nAnswer: -2181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q**2. Suppose -z - 3*r = -4*z, 4 = 2*r. Suppose -z*t = t - 9. Let x(a) = 13*a - t*a - a + 3*a. Determine g(x(m)).\nAnswer: -144*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the first derivative of -y**4\/4 - 2*y**3 - 3*y**2 - 3*y + 1. Let q = 9 + -14. Determine v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1647, -42, 93, -3, 5 in descending order.\nAnswer: 93, 5, -3, -42, -1647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -29 + h**2 + 29 + (3 + 2*h - 3)*(-3*h + h + 0*h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -40 = -9*h + 14 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 1)*(-1983 + i + 1983)*(3 - 1 + 1).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 67714 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = -119 + 209. Let j(l) = -l - 4. Let h be j(-6). Let t be 2\/(h*(-2)\/(-20)). What is the greatest common factor of o and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 3*x + 1)*(-2060 + 5*x**3 + 1929 - x**3) as a*x**3 + r*x**4 + m*x + z + g*x**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = 96\/7 + -761\/56. Let u = 49281 + -296899\/6. Let r = -205 - u. Find the common denominator of r and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(0 + sqrt(192) + 3) + 3)**2.\nAnswer: 1440*sqrt(3) + 5124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 1 (b) 1\/6 (c) -19 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 5025 = 8*j. Suppose -4*o - 5*i = -j, 4*o - 415 = 3*o - 2*i. Suppose 0 = 6*r - r - 5*u - o, 0 = -5*r - 4*u + 461. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmhmmommhjhjhjmmo?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 179\/4380 and -133\/38256.\nAnswer: 13963440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is (-57 - 4)*1*3\/(-3) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = 225*j - 230*j + a, 0 = -j - 5*a + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2261 + 41?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is ((-300)\/25 - (-1443975)\/12) + (-1)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -5970, -6413, -7162, -8217, -9578, -11245, -13218?\n\"Answer: -153*s**2 + 16*s - 5833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*n + 720100 = 233596 - 558446. Calculate the remainder when n is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange m**2 - 13*m - 22*m - 2*m**2 + 7*m + 4*m**3 to the form s*m**3 + d*m + x*m**2 + v and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -70 in 0.181, 1\/5, 2?\nAnswer: 0.181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/214, 14, -4\/3, -1\/9, 6, 0.3 in increasing order.\nAnswer: -4\/3, -1\/9, 1\/214, 0.3, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-166 - -89) + 90 + 71.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -9? (a) 1 (b) -2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -80 + 481\/6. Let s be (1\/(-6))\/((-6)\/(-24)). What is the second smallest value in s, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -5 and -4.863?\nAnswer: 24.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 16 = -w, 2*r - r - 2*w - 5 = 0. Calculate the remainder when 16 is divided by (8 - -1) + 4 - r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/(-21) + ((-72)\/(-140))\/(-6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0 (b) 13\/5 (c) -2 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the third derivative of t**6\/120 - t**5\/30 + t**4\/24 + t**2. Determine v, given that u(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1253 is divided by 613.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 352 divide 346110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -24*r + 1 - 1 - 199*r to the form k*r + o and give k.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3744320 and 320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 23048 - 23014. Calculate the highest common factor of 7582 and b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 17\/2 - 1\/2. Let q = 102 + -94. Let n = q - f. Solve 5 = b - n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c*c**(-3\/4))\/c*c\/(((c\/(c*c**(-1\/5)))\/c)\/c)*c*(c*c**6*c)\/c*c*c*c**(-1\/6) assuming c is positive.\nAnswer: c**(773\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 404*q**3*w**3 + 162*w**3 wrt q?\nAnswer: 1212*q**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1090 + 3*k - 96 - 4*k to y*k + d and give d.\nAnswer: 994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 4*h + 90 - 19 = 0, 2*j + 4*h - 38 = 0. Suppose j*l = 7*l + 28. Let x(c) = c**3 - 7*c**2 - 2*c + 9. Give x(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (8\/(-10))\/((-40)\/300). What is the units digit of 62\/((-3)\/(-45)*c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 74071787 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -16*r**2 + 742*r - 274. Let y be d(46). Let u be ((-1)\/1*1)\/4. Put u, 0.1, 5, y in ascending order.\nAnswer: u, 0.1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -5, -2, 2, -25, 22 in decreasing order.\nAnswer: 22, 4, 2, -2, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 11947920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -5 - ((-3600)\/6 - -5)?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 58 divide 2656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*d + 76*d + 669 = 57 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 702 divided by -3?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 128826 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 v(y) be the second derivative of 0*y**4 - 4*y + 0 + 0*y**3 - 1\/4*y**5 - 2*y**2. Find the first derivative of v(b) wrt b.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -x - 189 + 107 = -2*w - 98, x - 4 = -w for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 13*f**3 - f**2 - 7 - 40*f**3 + 10 + 6 - 4*f. Let k(q) = 7*q**3 + q - 2. Let g(j) = 2*h(j) + 9*k(j). What is g(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3\/2 (b) -0.286 (c) -30 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c - 9. Let r = 24 + -29. What is q(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 3*s + 2*y - 1846 = 0, 0 = -3*s + 5*y + 2753. Let n = -6541142\/9 + 727717. Let k = n - s. Calculate the common denominator of -13\/4 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -65*s**2. Let x(h) = 3*h. Determine k(x(q)).\nAnswer: -585*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**3 - 8*h**2 - 9*h + 6. Let z(c) be the second derivative of 2*c**5\/5 + c**4\/12 + c. Let r be z(1). Is 6 a factor of m(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 4*k + 34. Let t be f(8). Calculate the highest common factor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1135313 and -20.\nAnswer: -22706260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7455950 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 3*z - z + 176, -4*z - 2*v = 346. Let t = z - -155. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 26*k**2 - 82*k - 95. What is v(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 217 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3075 and 221371710?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1027, -772, -497, -196, 137?\n\"Answer: y**3 + 4*y**2 + 236*y - 1268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -457304407 divided by -893\nAnswer: 512099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 2*t. Let v(f) = 303214839*f**2. What is k(v(y))?\nAnswer: 606429678*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1192870? (a) -2\/5 (b) -4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 922912 and 7852?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 232290 and 34523100?\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 5 + -30?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/(-2*(-1)\/(-10)). Let j(w) be the first derivative of w**4\/4 + 5*w**3\/3 - 5*w**2 - 12*w - 6. Let r be j(-6). Solve r = -x*b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -289742*k**3 - 1750990 wrt k?\nAnswer: -869226*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 41 + -41.4. What is the closest to 8 in u, -0.3, -3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -468*3\/12*-2. Suppose -q = -20*v + 86. Calculate the highest common factor of 160 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 171293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 99455 is divided by 444?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*v + 34*v - 5045 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5761\/17265 - 2\/5755. Which is the closest to 0.1? (a) 5 (b) -2 (c) -4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8519.642 times -0.52?\nAnswer: 4430.21384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 62330706587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3237 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 426*n**2 + 92*n + 6 wrt n?\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 3*f**3 - f**2 + f - 10. Let c(w) = -3*w**3 - w**2 - w + 1. Calculate -2*c(g) - u(g).\nAnswer: 3*g**3 + 3*g**2 + g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -47 + 143\/3. Let o(m) be the second derivative of 5*m - h*m**3 - 2*m**2 - 1\/12*m**4 + 0. Factor o(y).\nAnswer: -(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(700) + -4 + 0 - ((sqrt(448)*5)**2 + 4).\nAnswer: -11208 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 6) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + -122741.51?\nAnswer: -122739.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 529132464 and 3024?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 + 255245?\nAnswer: 255243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 8*p**4 - 176238*p**3 - 154294214*p**2.\nAnswer: 192*p - 1057428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -4 - 3*u + u**2 - u + 5*u. Let i be v(-3). Solve -20 = 2*h - 4*o, 5*h - 4*o = -i*o - 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 9048*m + 96. Let w(c) = -9049*c - 77. Determine -4*g(b) - 5*w(b).\nAnswer: 9053*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 297705.3 milliseconds in microseconds?\nAnswer: 297705300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 277019 and 26788?\nAnswer: 200561756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x be 57\/84 + (-15)\/60. Suppose w = -3*z - 10, w + 4*z = 3*z. Which is smaller: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qctzzzctzgzqzgzcz. Give prob of sequence qcz.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -2*w + 3. Let q(n) = -2*n + 4. Suppose 19 + 9 = u. Suppose 2*k = 6*p - 2*p + u, -5*p + 115 = 5*k. Suppose -k = -0*t + 4*t. Determine t*f(a) + 4*q(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-2427)\/3236 + (-3)\/36?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 86 - -55. Let j = i + -148. Let t(m) = -m**3 - 7*m**2 + 2*m - 7. What is t(j)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(121)\/(sqrt(11) + 1*sqrt(11)))**2 + (-4 + sqrt(11) + sqrt(22)\/sqrt(2) + 5)**2.\nAnswer: 4*sqrt(11) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 4923272 a multiple of 1118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3894.\nAnswer: 2, 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 277790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 115727.\nAnswer: 115727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:40 AM and 3:19 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m be 193\/7 + (-9)\/(-21). Let l = 31 - m. Let g be 2*l\/6 - -3. Solve 0 = -g*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-3\/5)\/p**0)\/(p**(-1)*p**(-2\/13)\/p*p) assuming p is positive.\nAnswer: p**(36\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 46 divided by 75134?\nAnswer: 23\/37567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -15, -30, -49, -72?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1588, -22665, -79860, -191233, -374844?\nAnswer: -648753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -39*t + 1005 = 1551 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1566 and 10.\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.0005103 - 9.3116694. Let m = z - -11.212179. Let r = m - 0.9. Round r to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -g**2. Let y(k) = -34947*k. Determine o(y(l)).\nAnswer: -1221292809*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = -164 - -1874. List the prime factors of g.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -2*o**3 + 7*o**2 - 119*o + 606. Calculate w(5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*u = -16*u - 400. Is u a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 + 21 = -4*h. Let j(g) = g**2 + 7*g - 1. Let k be j(-6). Let s = h - k. Let z(i) = -4*i**2 - 3*i - 1. Calculate z(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 388, 387, 384, 379, 372, 363?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2293817415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4717 + -4722. Sort 3, 5, -2, i, -13 in descending order.\nAnswer: 5, 3, -2, i, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 70, 67, 62, 55, 46, 35, 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3 and 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -2*c + 20. Let d be a(9). Suppose 4*v - 34 + d = 0. Solve -5*i = v - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9956.\nAnswer: 2, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 34 divide 671366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -0.25 (b) 28 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 67650000 to the nearest one million.\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 44*v - 135 = 41 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4 - -3. Let q = s - -4. Let o = -4 + 9. Which is the second biggest value? (a) q (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41890088.\nAnswer: 2, 5236261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 0*x**2 - x**2 - 138*x - 4*x**2 - 15*x + 1115*x + (-1 - 2*x + 1)*(x + 2*x - 5*x) + 3*x**2 + 4*x**2 - 5*x**2 in the form o*x + l + q*x**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/(-16)*-1)\/((-38)\/16)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((sqrt(75) + -3 + sqrt(75))*-3 + sqrt(75))**2*-3.\nAnswer: -5872 + 1350*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1008 + -2.69?\nAnswer: 1005.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-49*b**3 - 611*b**3 + 141*b**3)*((2*b - 2*b - 2*b)*(-2*b + 3*b - 3*b) + b**2 - 4*b**2 + 2*b**2) - 2*b - 2*b**5 + 2*b.\nAnswer: -1559*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -5172, -5649, -6956, -9507, -13716, -19997?\n\"Answer: -69*o**3 - o**2 + 9*o - 5111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -59781, -239126, -538027, -956478, -1494473, -2152006?\nAnswer: -2929071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-84)*6)\/1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-154)\/120 + 17 + (-2233)\/132.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = 5 + 4. Suppose -x - 3*x + 3*s + 9 = 0, 3*s = -4*x + 15. Let n be x\/m*12\/4. Are 1\/4 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -197012 * 0.058.\nAnswer: -11426.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -u**4 - 1 + 3 - 2*u**3 + 40*u**2 - 45*u**2 in the form f + b*u**4 + i*u**3 + q*u + a*u**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 39119*o**3 - 7641*o**2 + 2*o - 2.\nAnswer: 234714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*p**2\/3 + 200*p\/3.\nAnswer: 5*p*(p + 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 136149873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 990 = 3*t + 2*t. Suppose 3*y - 86 - 16 = 5*m, 5*y = -m + t. Suppose -5 = -11*f + y. Solve -5*u + 2*i = 1, -4 = u - 3*i + f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - 1) + (35 - -22 - (10 + -5)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = 3*q - 4*p, 3*q + 144 - 153 = -p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 17237, 34476, 51715, 68954, 86193, 103432?\nAnswer: 120671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 0.2, -5\/3, -258, 5, 5\/3 in decreasing order.\nAnswer: 5, 4, 5\/3, 0.2, -5\/3, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = 8 + -12. Sort r, 0, 1, 5 in decreasing order.\nAnswer: 5, 1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -34, -70, -132, -232, -382, -594?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-1\/6)*v)\/v**(2\/11)*v*v*v**(2\/9)\/v*v**(-1\/2)*v)**(-45) assuming v is positive.\nAnswer: v**(-1175\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54 = -2*p - 5*t + 5, -2*t = 5*p - 95. Suppose 4*h + h = 85. Let f(n) = n + h - p. Let s(r) = 12*r. Calculate f(s(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-40)\/(-12))\/((-2)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00074725 rounded to 6 decimal places?\nAnswer: -0.000747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 4*w**2 - 12*w + 15. What are the prime factors of m(7)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -2644*j - 13227. Give k(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6*6\/(-18)*(-3)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1071*1\nAnswer: -1071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express o**3 + 2*o**3 - 11*o**3 - 13*o**2 + 4*o**3 - 2*o + 7*o**3 + 4 in the form j + z*o + n*o**2 + v*o**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**26*(m*m**(-19))\/m)\/((m**(-25)\/m)\/(m**(-2\/9)*m)) assuming m is positive.\nAnswer: m**(304\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y**2 + 12*y + 30. Let o be d(11). Suppose -1296 = o*j - 49*j. Calculate the remainder when j is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*o**6*p**2 - 2*o**3*p**3 - 28*o**3 + 79*o**2*p**3 + p**3 wrt o.\nAnswer: 600*o**3*p**2 - 12*p**3 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*u - 1132 + 92. Calculate the highest common divisor of 26 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2 + 5. Suppose o = -0*o - 3*n - 3, 4*n = -j*o + 1. Which is greater: o or 9\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 40872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 15939 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor t**5\/4 - 69*t**4\/2 + 935*t**3\/4 - 1189*t**2\/2 + 657*t - 262.\nAnswer: (t - 131)*(t - 2)**3*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 161\/1326 and 145\/22134?\nAnswer: 287742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.048609 less than -33?\nAnswer: -33.048609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m + 3*q = -37, -20 = -6*m + 3*m - 5111*q + 5115*q for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4 and 57.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -52 - 52 + 419*v**3 + 1030*v**3 + 104.\nAnswer: 1449*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -1091161618 divided by 1\nAnswer: -1091161618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 23 + -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from {y: 4, q: 2, k: 3, x: 4, e: 1}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply -177.2 and 190911.\nAnswer: -33829429.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**2\/(p\/(p**0\/p))*(p\/((p*p*p*p**(-7)\/p)\/p))\/(p\/p**(-4)) assuming p is positive.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1305*p**4 - 25*p**3 + 2*p**2 + 2455295*p wrt p.\nAnswer: 15660*p**2 - 150*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -247 + 2225\/9. Let c = 90 - 808\/9. Let 0*n - 2\/9*n**4 - t*n**5 + 2\/9*n**2 + 0 + c*n**3 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*f = -43*f. Suppose f = 4*j - 46 + 22. What is the smallest common multiple of j and 25\/4 - 1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvyvvvy. What is prob of picking 1 v and 1 y?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5 + 10. Suppose 0*w - 65 = -l*w. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1118 - 3623. Is -1 - (32\/12)\/(10\/f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 1\/2 (b) 5 (c) -1 (d) 0.054\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1868 divided by 5.\nAnswer: 1868\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 33079508 and 24388?\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 2\/11 (b) 33 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 386*f - 1254. Let v(z) = 58*z - 209. Let l(q) = 2*j(q) - 13*v(q). What is l(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kt when two letters picked without replacement from kutu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -42382714*z + 31798145?\nAnswer: -42382714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 530, 529, 528, 527, 526?\n\"Answer: -l + 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5187964 is divided by 322.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 2*t + 21, -3*t + 5*t - o + 1 = 0. Solve -i = t*i + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 869035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i - 517 = 191. Calculate the greatest common divisor of 413 and i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-1\/2))**(-41)*r\/(r*r\/(r\/(r\/r**(1\/7))))*r\/((r**(2\/15)*r)\/r*r*r)*r)\/((r**1)**15)**40 assuming r is positive.\nAnswer: r**(-121903\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1481, -2779, -4077, -5375?\nAnswer: -6673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2031704813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Product of -373 and 100.927.\nAnswer: -37645.771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3763207 rounded to three decimal places?\nAnswer: 0.376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -313.5 - -310.5. Let h be 1*-1 + 105\/120 + 0. What is the nearest to h in u, -2, 0.5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 180*h**4 + 255?\nAnswer: 720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -1110001010111 (base 2) to base 7\nAnswer: -30103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**2 - 3*w - 3. What is z(-8)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-five halves of a milligram in micrograms?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 22893 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 3*q = 2*y + 48, 37 = -4*y + q. Is (5793\/y)\/(6\/18*-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -16 in 0, 1\/44, 3\/4, 2\/7, -13384, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -0.0383, -13.13 in descending order.\nAnswer: 5, -0.0383, -13.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i be -2*2 - (0 + -6). Find the third derivative of -10*b**3 - 7*b**3 - 2*b**i + 8*b**2 + 2*b**3 wrt b.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -30*h - 2. Let y(o) = -61*o - 4. Determine -5*n(f) + 2*y(f).\nAnswer: 28*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.0159 + -1.01. Round k to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (26 + -3 - -101 - 5) + (-19 - -8)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -2\/5 and -7\/191573.\nAnswer: 957865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 306*s**5 + 127*s.\nAnswer: 6120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = z**3 + 10*z**2 + 2*z + 11. Suppose u + 33 = 23. Determine q(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 372 minutes after 1:26 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 1520 = 4*d, 0 = 5*t + 2*d + 989 - 2875. Suppose 2*l + t = 4*l. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -107 = 4*c + 53. Let z = 58 + c. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence udu when three letters picked without replacement from {h: 2, u: 4, q: 3, d: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -1321230 (base 5) to base 2\nAnswer: -110011101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 142941 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7.1 - -7. Let y = 111\/2 + -54. Which is the closest to -1\/3? (a) v (b) 0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5575 + 5579. Solve 4*d + h + 20 = 0, -u*d + 2*h = -0 + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -4*s**2 + 15*s - 8. Give f(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -10, -14, -3 in increasing order.\nAnswer: -14, -10, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-1)\/2)\/((-2)\/12). Suppose 9 = q*c - 6. Suppose -j + 4 = h, 13 = h + 5*j + c. Calculate the remainder when h is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:26 AM and 7:39 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -38955.299224 + 38955. Let u = 0.303 + z. Round u to 4 dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -113728 - 0.216.\nAnswer: -113728.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 66*h - 123 + 717 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.03 (b) 0.2 (c) -2\/49 (d) 0.074 (e) -1\/3 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -2 times 4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2 (b) -2\/5 (c) -1974 (d) 0.047\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -509 - -580. Calculate the highest common divisor of 142 and q.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 146 - 144. Let z(x) be the third derivative of 0 + 0*x**5 - 1\/180*x**6 + 0*x - 2\/9*x**3 - 3*x**j + 1\/12*x**4. Let z(d) = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1\/5, -2, -631, -30768?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*d**3 + 3*d + 1 + 1476*d**2 - 2947*d**2 + 1480*d**2 to y + i*d**2 + o*d**3 + z*d and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -10010.4177 to the nearest integer.\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*d - 13*d + 4 = -o, -d + 9*o = 34. Let m(p) = 5*p + 3. Let f(x) = -32*x - 38*x + 71*x. What is d*f(h) - m(h)?\nAnswer: -3*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 164599735.\nAnswer: 5, 32919947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 1200340 (base 5) to base 12\nAnswer: 1086a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 233021311030 (base 4) in base 14?\nAnswer: 18daa72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-30)\/(-20))\/(-2 + 191\/94) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -56747.3624 - -4.\nAnswer: -56743.3624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 0, -4, -7 in ascending order.\nAnswer: -7, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 396, -173\/5, -4\/3, 0.5 in ascending order.\nAnswer: -173\/5, -4\/3, 0.5, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -15522 (base 6) to base 9\nAnswer: -3465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 288982 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(2\/3)\/u*u\/((u\/(u*u*(u*u*u**(-2\/9)*u*u)\/u))\/u)*u*u*(u*u*u**(-16))\/u*u\/(u*u**(2\/21)))**7 assuming u is positive.\nAnswer: u**(-482\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 396 + -349. Put 1, l, 0.1 in decreasing order.\nAnswer: l, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -103030 - 112340 + 38218 = 5082*l + 112522 for l.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = s - 9. Let p be u(8). Let t be -2*(2 - (p + 1)). Let w(q) = 1. Let j(x) = 9 - 2*x - 4 + x. Give t*w(o) + j(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.68 and 0.5?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 2035*b - 364*b = 46788 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 31, -2\/3, -1 in decreasing order.\nAnswer: 31, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1250 - -1250. Let b(w) = -2*w + 22. Determine b(h).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -6, 5, 1\/9, -4, -3, -158?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1089 and 495.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-7)\/2*16\/28. Let h be ((-6)\/4)\/(9\/(-6)). What is the biggest value in h, 6\/5, z?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -46121154284 - -46121148602.06229964. Let r = a + 5677.9377. Let i = -4 - r. Round i to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0 - 5. Let m(d) = d + 11. Determine m(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 16180 and 4420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/5*y**5 - 2168\/5*y**2 - 34\/5*y**4 + 421\/5*y**3 + 5632\/5 + 3008\/5*y.\nAnswer: (y - 11)*(y - 8)**3*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 2 w when three letters picked without replacement from {k: 1, w: 6, a: 5, n: 3, y: 3, f: 2}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pfp when three letters picked without replacement from pppffpfffppffpfffpp?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30122905 is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-36)\/(-828) + 7\/(-161).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -17*q + 132. Let t be u(8). Which is the nearest to 0? (a) 5 (b) 0.9 (c) 0.5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0002951682 to 6 decimal places.\nAnswer: -0.000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5774?\nAnswer: 2, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -37 = 12*a + 41 - 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3959)\/34780 - 183\/(-2867).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 11*v - 22779 - 357272 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 6*-1*2\/(-21). Put 2, w, -0.2, 3 in increasing order.\nAnswer: -0.2, w, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the third derivative of 0*a - 1\/12*a**4 + 2*a**2 + 0*a**3 + 0. Let w(k) be the first derivative of 2*k**3\/3 + 1. What is b(w(x))?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -n**4 + 6*n**3 - 5*n**2 - 6*n - 6. Let i(d) = -d - 1 - d + d**3 + 7*d - d**2 - 6*d. Let z(t) = -b(t) + 6*i(t). Determine q, given that z(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 6\/7, -0.15, 4, -9\/5 in decreasing order.\nAnswer: 4, 6\/7, -0.15, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 0*k = 185. Let f = -25 - k. Let l(s) = 10*s - 4. Let x be l(4). What is the greatest common factor of x and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + -2827?\nAnswer: -2830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5795 = 8*w + 22387. Let m = -1431 - w. Is m a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 108, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r**4 + 10256*r**3 - 12941472*r**2 - 530030080*r - 5341644800 = 0.\nAnswer: -20, 2584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from {h: 2, k: 5, j: 3, q: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 89.5252 - 0.0252. Let s = i + -85.5. Which is the nearest to 27? (a) 3 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2 - 39\/(-6))\/2. Let l = 41\/20 - w. Let g be 2\/3 - (-2)\/(-21). Which is the closest to 0.1? (a) g (b) 3\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 9598 + 6?\nAnswer: 95a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 5*b**2 + 4*b + 6. Let g = -89 + 88. Calculate the lowest common multiple of 17 and a(g).\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4199*k - 310*k - 101114 = 0 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 26 = -54. Let s = -6 + d. Suppose -3*u + 4*u - s = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*y + 3*m + 3, -5*m - 3 - 2 = 0. Let v = -3 - y. Let l = 12 + -25\/2. Which is the nearest to l? (a) -2\/15 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 7*j**3 - 18*j**2 - 9*j + 9. Does 5 divide p(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 348 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 14 and 462.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -a**3 - 4*a**2 + 5*a - 1. Let u be k(-5). Let w be 1\/(3\/3) - u. Suppose -6*g + w*g = -68. What is the remainder when 32 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/6)\/(60\/180)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + 2*sqrt(1573) - (-1 + sqrt(1573)*1 + sqrt(1573) + sqrt(1573))) + 4 + -1*sqrt(1573) + 4)**2.\nAnswer: -396*sqrt(13) + 6373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 - 2 - 12 - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1227, 1223, 1217, 1209, 1199, 1187?\n\"Answer: -h**2 - h + 1229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 250 minutes after 3:56 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -51, -44, -27, 6, 61, 144, 261, 418?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in 0.5, -0.2, 9.241262?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 8*r**3 + 17*r**3 - 26*r**3 - 32*r - 2*r**3 + 2*r**3 + 2*r**3 + (2*r + 2*r**2 - 2*r)*(0*r - 2*r + 0*r) + 2*r**3 - 4*r**3 + 3*r**3.\nAnswer: -2*r**3 - 32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 39834870 and 1973.\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 1777 = 2*y, -2 = -y + 3*y. Let c = k - -375. Solve -30 = -2*f - c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p**3 - 50*p**2 - 607*p + 42. Determine x(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1088402076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pgppgp. Give prob of sequence pgp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.00467 - -4.99533. Let t = 293\/6 - 49. Let p = -4 + 22\/5. Which is the third biggest value? (a) t (b) s (c) 3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = t + 71875, -5*t = 66*a - 63*a - 107780. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16, -23, -28, -31?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kiiiikii?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x = -1 - 2 + 11, j - 7*x + 3*x + 15 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5009*r**2 - 661*r**2 + 103 - 343*r**2 + 47.\nAnswer: 4005*r**2 + 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t + 3. Suppose 4 = -2*z + z. Let f be y(z). Solve 3*v - 2*u = f, 5*v - u = -3*u - 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 + 9. Suppose h*u + 8 = -4*i, -4*u + 4*i = -4 - 4. Solve u = q - 2*x + 4*x, 0 = -q - 5*x - 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 y and 1 g when four letters picked without replacement from {d: 6, y: 5, g: 2}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y + 11 = -3*m + 4*m, 5*m - 37 = -4*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 643 minutes after 6:36 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*r - 21*r = -2438. Let j = -866541\/44 - -19692. What is the common denominator of (-144)\/(-192) + r\/(-6) and j?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1947303900 to the nearest one million.\nAnswer: -1947000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -3*a - 5*o, a + 3*a - 3*o = -45. Let k(z) = z**2 + 10*z + 11. Let n be k(a). Solve n*b + b = 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -109 - -199. Suppose -2*p + 52 = 75*y - 73*y, 4*y - 44 = -2*p. What is the smallest common multiple of p and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 6246190486?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 11221 - -50864?\nAnswer: 62185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the first derivative of -15*t**4\/4 + 80*t**3\/3 - 115*t**2\/2 + 30*t - 5900. Factor i(o).\nAnswer: -5*(o - 3)*(o - 2)*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -19.155 minus 1?\nAnswer: -20.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 2, r: 2, e: 1, l: 1, u: 1}. What is prob of picking 2 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3 + -2. Let x = -5.2 + 1.2. Which is the closest to m? (a) x (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 4*x**2 + 30*x + 13. What are the prime factors of f(-14)?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.339 + 71.839. Let v = 72 - y. What is the third biggest value in 0.1, v, 0.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**2 + 17366*w - 86808. Determine z(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1830318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-1)\/7)\/(11 + 456\/(-42)). Put m, 4, 11.6, 1 in descending order.\nAnswer: 11.6, 4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 2*r**2 - 11*r + 4. Suppose 3*y + 3*a = -21, -2*y + 4*a = 3*y + 8. Let f(n) = 2*n**2 + 7*n + 5. Let d be f(y). Is m(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - g = -118, -4*r = -2*g - 2*g - 80. Factor 7*q**3 - r*q**5 + 11*q**5 + 13*q**5 + 5*q**4 + 3*q**2.\nAnswer: q**2*(q + 1)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 + -5. Let n(z) = z**3 + 3*z**2 + z + 3. Let t be n(r). Which is the biggest value? (a) 5 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y**3 + 11*y**2 + 19*y - 11. Suppose 4*f + 7*r = 15 + 2, 0 = -2*f - 5*r + 1. Give d(f).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -80 - -85. Suppose 2*r = 8, m*c + 5*r - 8*r = -92. Let q be (-24)\/c + (21\/(-2))\/3. Let y(f) = 5*f - 1. Give y(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -48dc5 (base 16) in base 2?\nAnswer: -1001000110111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h - k + 8 = 0, 6*h + 5*k - 2817 = -2855 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**2 + 15*z + 18. Suppose 3*n = 15*n. Suppose n = -o + 17 - 30. Calculate j(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 m when three letters picked without replacement from ssssssmmsssmssssss?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3 - 0. Suppose -2*s + 6 = -2*u, 1 = 2*s + 3*u - 0. Let x(l) = -3 - l + 3*l + 0*l + l**s. What is x(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8631 is divided by 114.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*q**3 + 635*q**2 - 12692*q - 2133 = 0.\nAnswer: -1\/6, 27, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 28*o**2. Let n(f) = 3*f + 116. Let g(k) = -2*k - 69. Let a(z) = 5*g(z) + 3*n(z). Calculate t(a(j)).\nAnswer: 28*j**2 - 168*j + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-5)\/(-6))\/(29\/174). Find the second derivative of 42*j**5 - 24*j**c - 29*j**5 + 13*j wrt j.\nAnswer: -220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g + g = 0. Let s be (0 - (g + 1))*-13. Solve 2*k - 2*h - h - s = 0, 5*h = -3*k - 28 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -37884 divided by -41\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 38938a1 (base 11) to base 5.\nAnswer: 3211134212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q\/q**(-1\/4))\/(q\/q**(-15)) assuming q is positive.\nAnswer: q**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -36*(-12)\/16*14\/(-42)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -4*t**2 + 9*t. Let l(z) = 21*z**2. Give i(l(p)).\nAnswer: -1764*p**4 + 189*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -13*z - 4. Let m(l) = l**3 - 11*l**2 - 14*l + 3. Let t = 27 - 15. Let f be m(t). Let q = 19 + f. Let x(b) = -4*b - 1. Determine q*o(v) + 7*x(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -283, -31, 221, 473, 725, 977?\n\"Answer: 252*t - 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4 less than 312212?\nAnswer: 312208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1652, -2789, -3934, -5087?\nAnswer: -6248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.186763 rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -2008917 rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -10334 (base 8) in base 12?\nAnswer: -25b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 8 divided by -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 4*f**2 + 3*f. Let y = -5 - -8. Let r(k) = -k + y*k + 3*k**2 + 0*k. Let o(c) = -2*d(c) + 3*r(c). Solve o(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -268263 * -5\nAnswer: 1341315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 429997*u**3 - u**2 + 1. Let q be g(1). Let j be (2 - (-2 - q)) + -1. What is j rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = x**2 + 7*x - 1. Let t be d(-8). Suppose -3*a = -4*f + 19, 3*f + t = -0*f - 2*a. Let h be -2*(-2)\/(-6)*-3. Does h = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 136070 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 43\/204 + -3\/68. Determine u so that 1\/6*u**2 + 0 + v*u = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 60246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 626 and 22.\nAnswer: 6886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 524 and 13362.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the second derivative of 5*t**3\/3 + 23*t**2 + 2*t + 410. What is u(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 27*-39.0361.\nAnswer: -1053.9747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/((-21)\/(-35)))\/(132\/1188).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + (-19 - (-23 - -7)) + 11 + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 8*p**2 - 74*p + 589. Calculate i(3).\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6858031.\nAnswer: 19, 360949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -6*v. Let n(q) = q**2 - 1735*q. What is n(b(d))?\nAnswer: 36*d**2 + 10410*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the first derivative of 3\/2*g**4 - 21\/16*g**2 + 3 + g**3 + 3\/8*g. Factor h(r).\nAnswer: 3*(r + 1)*(4*r - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(26)\/(2*sqrt(6)\/sqrt(3))*2.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -2\/15, -0.1, 816, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 0.5 (b) -1 (c) -0.08 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 456 and 380?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 9*y + 1. Give c(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2954 + 5125. Suppose 0 = u + 3*u - g - d, -3*g + 1647 = 3*u. Suppose u = 5*y - 1026. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a = 3*z, -23*z + 4*a + 6 = -a + 2*a + 116 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3.2 - -4. Let v = y + -0.5. Let i = -18.9 + 19.3. Which is the smallest value? (a) -0.5 (b) v (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 563779399 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p - 2725*m = -p - 2721*m - 48, 8*p - 60 = 14*p + 2*p - 2*m for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.14 + -12.12. Let w = 12.1 + u. Round w to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 81\/137971844 and -89\/5117650.\nAnswer: 3449296100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 4 - z + 6*z - 3*z. Suppose 3*p = 5*m + 27, 2*p - 5 - 13 = -5*m. Calculate the remainder when 64 is divided by v(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 11321839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1847, 1843, 1837, 1829, 1819, 1807, 1793?\nAnswer: 1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 162877 and 75?\nAnswer: 12215775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -19 - -57 - -50 - 161\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11 + -9. Let v(b) = -35*b**c + 0 + 3 - 3. Let w(y) = -18 - y + 23 - 5. Give v(w(r)).\nAnswer: -35*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 889 divide 8655304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4)\/(-290) + (14 - 14). Let d = 7989\/1015 - s. Let y(l) = l**2 - 8*l + 2. Find the common denominator of d and y(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 37475545 and 2?\nAnswer: 74951090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-1\/10)\/(p*p*(p\/p**0)\/p))\/(p**(-1))**31 assuming p is positive.\nAnswer: p**(289\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2408016172 to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d - 1 + 1)*(-1 + 3 + 1)*(3*d + 0*d - 2*d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 360 + 6 + 75 = -41*o, -p + 4 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in -5, -113, 5.17, 1, -0.17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 3*l - 90 + 89 + 2*l**2 - 2*l. Let i be w(0). Which is the second biggest value? (a) 0.1 (b) i (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 9*j = 14*j - 50. Suppose 0 = a - 0*a - 12. Suppose a*r - 4 = j*r. Solve -4*d + 2 = -r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3449*i + 3454*i - 20 = 0. Solve -5*s = i*o - 61 + 16, -3*s + 5*o - 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = g**2 + 13*g + 28. Let d be t(-6). Let y be (-4)\/28 + (-30)\/d + -13. Is y at most -62\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -15 - -8. Is h\/(-14)*740\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4654*v - 4646*v - 6 + 6.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 12 = -0. Let k be (1 - 3)*j\/1. Solve -4*f + 13 = 5*s, -4*f + 5*s + k = 3*s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 18\/(-153) + 36\/17. Suppose 5*b - a = -5*a + 80, k*b + a = 35. Suppose 0 = m + 3*h - 24, -5*h + h = -b. Is 10 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qbs when three letters picked without replacement from {s: 2, g: 1, q: 6, v: 2, n: 3, b: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ksdthhc. Give prob of sequence sk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the first derivative of 1\/2*f**2 + 0*f + 118. Let d(o) = 98*o**2. Calculate p(d(i)).\nAnswer: 98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -43 - 2 - (46 - (-129 + 192)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2a44 - 5?\nAnswer: 2a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 711, 8034, 20235, 37308, 59247, 86046?\n\"Answer: -q**3 + 2445*q**2 - 5*q - 1728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**3 - 8*i**2 - 13*i - 6.\nAnswer: -(i + 1)**2*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - k - 4 = 0, 4*i + 2*k - 4 = -0*i. Solve i*s - 3*t + 4*t = -9, 0 = -4*s - t - 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 670 - 667. Let p = 1 + -1.2. Let f = p + -0.3. What is the closest to 0 in r, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -10\/101 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -654, -855, -1056?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 6*n**2 - 87. Let b be g(5). Solve 0 = b*j + 199 + 53 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, d: 1, s: 1, z: 1, q: 1, g: 2}. Give prob of picking 1 d and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 4*k**2 - 8*k + 11. Calculate r(5).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 55 divide 9010452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -1333 (base 5) to base 14.\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -28, 12, -21\/2, 4, -1\/3.\nAnswer: -28, -21\/2, -1\/3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -578, -4374, -14620, -34532, -67326?\n\"Answer: -536*j**3 - 9*j**2 - 17*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l**2 - l + 1. Let i(n) = -3*n**2 - 8*n + 6. Let y(b) = 217*b - 862. Let d be y(4). Give d*v(r) - i(r).\nAnswer: -3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 1648*r + 151627. Calculate y(-92).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 2 g, and 1 a when four letters picked without replacement from {g: 2, s: 2, a: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -4, -9, 6, -7, 11, -5 in descending order.\nAnswer: 11, 6, 3, -4, -5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + t = 197, t - 2*t = -2*s + 133. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 201, 0, -6, 1, -1.\nAnswer: -6, -1, 0, 1, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 1944199 times -3\nAnswer: -5832597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**2 + 20*g - 41. What is f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - 173 - (-252 - -49 - -181).\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.2*-28.1\nAnswer: -5.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3.166085 kilometers in nanometers?\nAnswer: 3166085000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 101.85314 + 0.11686. Let k = -106 + t. Let r = 0.03 + k. What is the second biggest value in -5, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2, -41, -102, -185?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -44 - ((2 + -25 - -2) + 12).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**3 - 4*s + 3. Let u be i(2). Let g = 3 - u. Is 0 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1568*t**3 - 6*t**2 + 3101*t**3 + 3813*t**3 + 6*t**2.\nAnswer: 8482*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 2*q**2 + 5*q - 4. Let f be u(-4). Let d(x) = x - 10. Let v be d(f). Which is the biggest value? (a) 5 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 44*c**3*o**2*v*x + 37*c**3*o**2*x - 12*c**3*o*v*x + c**2*o**2*x + 18*c*o**2*x + 2*c wrt v.\nAnswer: 44*c**3*o**2*x - 12*c**3*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2276 = 44*r - 45*r - 5*y, 3*y = -2*r + 4552. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 3*i - 5. Let v be w(3). Suppose 0 = -0*a - v*a + 3508. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((4 + 2 - 5)*(-15*i - 28 + 28) - 4*i - 2*i + 2*i - 3*i + 6*i + 2*i)*(0*i**3 + 3*i**3 + i**3).\nAnswer: -56*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -585*m - 1. Let o(j) = -32*j. Determine q(o(s)).\nAnswer: 18720*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -1493143, -2986286, -4479429, -5972572?\n\"Answer: -1493143*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/2 of a milligram in micrograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 7715.361ml to litres.\nAnswer: 7.715361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*f**4\/5 - 446268*f**3\/5 - 1657392534*f**2 + 415442656968*f\/5 - 407155248024\/5 = 0 for f.\nAnswer: -37214, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 163 - 74983?\nAnswer: -74820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 + 1)*(4 - 2 + 0)*(4104 - 1473 - 2144)*(3*q**5 + 2*q**5 - 3*q**5 + (-2 + 2 + q**3)*(2*q**2 - q**2 + 0*q**2)).\nAnswer: 2922*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -500, -2054, -4662, -8318, -13016, -18750, -25514?\n\"Answer: g**3 - 533*g**2 + 38*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (7 - 0) + (145 - 149)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*o - 2*j - 89813 - 23257, 4*j + 113080 = 4*o. List the prime factors of o.\nAnswer: 5, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12 + 9. Suppose 3 = 2*m + 11. Let y = -44 - -130\/3. Which is the closest to y? (a) n (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48*l - l + 235 = 0. Let m be (-384)\/(-90) + l + (-8)\/(-6). Which is the nearest to 2? (a) 0.4 (b) 3 (c) -1\/2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 33 + 8 - (62 - 29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 0, 14\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i\/(i\/i**(-1\/4)))**(-9)\/(i\/(i\/i**(-6))*i*i*i*i**(4\/5)*i*i)*(((i\/(i*i*i**3)*i)\/i)\/i)\/(i**8*i)*(i**(-2))**(-2\/33) assuming i is positive.\nAnswer: i**(-13483\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (5 + (-38)\/8)*-2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, j: 2}. What is prob of sequence jj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 - -8. Suppose -w - 11 = -2*j. Calculate the greatest common factor of 28 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -1.6 (b) 1\/4 (c) 1\/8 (d) -50 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3389550 is divided by 472.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1753948 (base 11) to base 14\nAnswer: -577013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/13)\/((5423\/(-221))\/29)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 31 and 6344894?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2 + 131?\nAnswer: 12e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 421736.7 millilitres?\nAnswer: 421.7367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -11*v + 4. Let p be i(-4). Let j = p + -20. Suppose -j = -b - 5. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = -5*z + z. Let w = -3 - z. Calculate the greatest common factor of w and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*l**4 - 3*l**4 + 4*l**4)*(-46*l - 14 + 111 + 48*l).\nAnswer: 2*l**5 + 97*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 21 + -9. Solve -5*q = t + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7070287.\nAnswer: 7, 29, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 4*i + 63 + 17 = 0, -4*i = -f + 29. Suppose 21 = 5*c - 49. Calculate the remainder when -10 + 14 + c*2 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f**2 + 2*f - 1. Let y(o) = -145*o**2 - 6*o - 41. Let c(u) = -3*g(u) - y(u). Find the first derivative of c(k) wrt k.\nAnswer: 296*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -3*d - 6. Let g be (-4)\/(((-12)\/4)\/(-3)). Let b be f(g). Find the third derivative of -5*m**4 + 5*m**4 + 15*m**2 - 2*m**6 - b*m**2 wrt m.\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 55 + -53. Suppose 683*i = 678*i - 5. What is the second biggest value in s, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*d + 212481*d**2 - 3*d - 212483*d**2.\nAnswer: -2*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve x**3 + 211*x**2 + 11024*x - 11236 = 0.\nAnswer: -106, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 111312320332 (base 4) in base 8?\nAnswer: 25667076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1309 + 1310 - 3*z**2 - 72*z**2.\nAnswer: -75*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -70, 3\/2, 0.1, -0.3 in decreasing order.\nAnswer: 3\/2, 0.1, -0.3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Are 0.4 and 1904 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 128358 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 90448 - 90448 - q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 11831a0 (base 15) to base 7.\nAnswer: 211543053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 93, 11\/5, 2\/53, -0.2 in descending order.\nAnswer: 93, 11\/5, 2\/53, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x**5\/8 + 3*x**4\/8 + 3*x**3\/8 - 11*x**2\/8 + 3*x\/4 = 0. What is x?\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.4 + 0.4. Let c = -9 - -4. Let d = -1 + 4. What is the closest to d in c, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) be the first derivative of i**2\/2 - 3*i - 8. Let p be n(0). Let y = p - -32. Solve 4*s + y = -3*u, 5*s + 16 = 3*u - 0*s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -17819*v**5 - 8218*v?\nAnswer: -356380*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(448)*-3 + sqrt(49)\/sqrt(7) + 1 + -3 + 4*(sqrt(7) - (sqrt(7) + sqrt(7) + -2)*-5))**2.\nAnswer: -1764*sqrt(7) + 4852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 2 - 5)*(-2*l - 3 + 3) + (-4*l + l + l)*(0 + 3 - 1) + 4*l - l - 4*l + 2*l - 2*l + l + 6*l - 14 + 14 + 0*l + 2*l - 3*l.\nAnswer: 23*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -20 - -1254035?\nAnswer: 1254015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 17 (base 8) to base 16.\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gmgregmfrggygyggyegg. What is prob of picking 1 m, 2 y, and 1 g?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -333 + 152. Let k = x - -180.6. Which is the nearest to 0? (a) 2 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u - 5. Let o be w(-7). Let p be (77 - 75)\/(-12 - -1). Sort 2\/3, -0.3, p, o in increasing order.\nAnswer: -0.3, p, 2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 32805\/2 + 6075*s**2 + 165\/2*s**4 + 32805\/2*s + 5\/2*s**5 + 1035*s**3 = 0 for s.\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6001 (base 7) to base 6.\nAnswer: 13311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4131883 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*v*z**3 - 5*v*z**2 - v - 12*z**2 - 7*z - 6 wrt z.\nAnswer: -24*v*z - 10*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.13834 to 3 dps.\nAnswer: 0.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2189 divided by 1?\nAnswer: 2189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 373 - -6452?\nAnswer: 67c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = 2*r + 15. Let c(k) = k**3 + 4*k**2 + k - 2. Let w be c(r). Suppose 2*u - w*u = -6. Put 1, -3, u, 2 in descending order.\nAnswer: u, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 234 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w**3 + 5*w**2 + 3*w - 2. Let c be h(6). Find the common denominator of 1 + (71\/20)\/(-1) and 454\/40 - (-5)\/c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m - i - 11 = 0, 2*m = 2006*i - 1999*i - 27 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 2*j**2. Let p(b) be the second derivative of -5*b**4\/12 + 5*b**3\/6 - 46*b - 10. What is y(p(m))?\nAnswer: 50*m**4 - 100*m**3 + 50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 844223*a**5 - 1205325*a.\nAnswer: 16884460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(64))\/(sqrt(2)*-1*-3 + sqrt(2))*3.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 17354 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 312021 and 138676?\nAnswer: 1248084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 6 divided by -412386?\nAnswer: -1\/68731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 31\/61 and 131\/366.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 14, 44, 74, 104, 134?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24)\/(-80)*(-32)\/12*9\/3.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 81 divide 210620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-2 + sqrt(5) + (sqrt(5) + 0)**2*4 + (sqrt(125) - ((sqrt(125) + 0 + sqrt(125))**2 + sqrt(125)) - sqrt(125) - (sqrt(245)*1 + sqrt(245))) + 4).\nAnswer: 108*sqrt(5) + 2868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Is (147342\/(-16))\/(2\/(-20)) - (-380)\/1520 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 13035.18 - 13035. What is the smallest value in 4, 0.03, f, 3, 9?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1 and 167.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.04 and 532.1.\nAnswer: 21.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 205.84 - -146.44. Let o = -351 + k. Round o to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -13 in -6671, 5, -4, -0.1, 3\/2, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(2 + 3*(-8)\/6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 109596609.\nAnswer: 3, 12177401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x + 259 = 5*y + 254, -2*x = -3*y + 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 2347823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -2, -1, 22, 20873 in decreasing order.\nAnswer: 20873, 22, 6, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*m**2\/8 + 4094973*m\/4 + 5589601290243\/8.\nAnswer: 3*(m + 1364991)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, v: 1, l: 1, y: 5, m: 4, f: 1}. What is prob of sequence mmr?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 181 = -5*r + 4*c, 0*r - c + 169 = -5*r. Find the common denominator of r and 95\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:37 PM and 7:04 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*d**3 - 6*d**3 - 2409 + 2409 - 6*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 671 - 3357\/5. Sort -0.03, d, 3\/7 in ascending order.\nAnswer: d, -0.03, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-9)\/(-15) - 207\/45. Let m(c) = 14*c**2 + 15*c + 6. What is the hundreds digit of m(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 449 - 123 = 0. Let v = -62 + -31. Let n = v - w. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -3*y. Let o(a) = -a - 1. Let n(i) = -o(i) + s(i). Let x be n(-2). Put x, 3, -3 in decreasing order.\nAnswer: x, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -1 + 3*q**3 + 2*q**3 + 2*q - 4*q**3. Let k be v(1). Let u be (k + -3)*(0 - -1). Which is the nearest to u? (a) 1\/7 (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oyyo when four letters picked without replacement from yyoyooyy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = q**3 - 6*q**2 + 7*q + 14. Is a(9) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -8 by 710.\nAnswer: -4\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k**3 + 13982*k**2 - 700975*k + 8770000 = 0. What is k?\nAnswer: -14032, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*sqrt(13) + 0 - sqrt(13) - (sqrt(52)\/sqrt(4)*-1 + sqrt(13)) - ((sqrt(13) - sqrt(26)\/(sqrt(6)\/sqrt(3) + sqrt(2))) + (2 + sqrt(637))**2).\nAnswer: -641 - 67*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 38*g**3*n*r**2 - 33*g**3*r**2 - 50849*g**3*r + 7064*g**2*n*r**2 wrt n?\nAnswer: 38*g**3*r**2 + 7064*g**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose w**2 - 242*w - 10959 = 0. Calculate w.\nAnswer: -39, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {l: 2, j: 1, t: 1, e: 8, o: 6}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 121690a (base 12) to base 10\nAnswer: 3516058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2331 and 177597?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 3*z - 1. Let k be g(1). Suppose h - k = 7. What is the lowest common multiple of h and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7217 - 7157. Solve 0 = 9*p + 3 + o for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-1\/3)*p)\/p**(-2\/15)*p\/(p**2*p)*p**(-1\/4)*p*p*p)**(-4\/39) assuming p is positive.\nAnswer: p**(-31\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3*2*36\/54. Solve 5*d + c = -m*c - 35, -4 = -2*d + 4*c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 42 - 1 - (10 + -14 + 4 + 3).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 8 + -27.712567\nAnswer: -19.712567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 121 is divided by 56?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 144 and 2232.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = c**3 + 5*c**2 - 2*c - 14. Let d be p(-5). Sort -2, 3, -5, d.\nAnswer: -5, d, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 106*x - 7003. Give g(66).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -87 or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ngoggggngcog. Give prob of picking 2 n, 1 g, and 1 o.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -bb (base 15) in base 2?\nAnswer: -10110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be 775\/510*(-147)\/(-10). Let z = x + -37\/34. What is the common denominator of z and (1 + 0)*19\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 494 = -31*g - 258 + 132 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the second derivative of -j**6\/240 - 11*j**5\/160 + 55*j**4\/96 - 73*j**3\/48 + 15*j**2\/8 + 559*j. Factor l(m).\nAnswer: -(m - 2)*(m - 1)**2*(m + 15)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w**3 + w**2 - 3*w. Suppose v - 2*a - 20 = a, -v - 3*a = 4. What is the remainder when l(-2) is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -5 + -107?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2333363?\nAnswer: 109, 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + (-5 - -6) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -247 = -8*v - 87. Suppose -4*k = -0*k + v, -4*n - 5*k = -95. Calculate the highest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -70\/327 and -77\/21255?\nAnswer: 21255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -136731000 to the nearest one million.\nAnswer: -137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*h + 2*h - 2*h - h - 474.\nAnswer: -5*h - 474","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 854789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 54371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0319 to three decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*m - 4*m + 29*m + (0*m - m + 4*m)*(6 + 1 - 4) - 2*m + 0*m + m.\nAnswer: 33*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 362.210834 rounded to zero decimal places?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j**3 - 18*j**2 + 625*j + 9584. Determine w(-14).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*m - 147 + 27. Let o = -22 + m. Solve -p - o = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71860 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10 and 173770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*h + 3657 = 4*s + 7*h, s = 5*h + 903. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 514747\/40 - 12868. Let k = -10983\/8 + 1372. Let t = w + k. Which is bigger: t or -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = 159 - 852. Let k be (-6)\/(-4) + (-494)\/(-4). Suppose 2*y + 5*r - k = 0, -l + 32 = -3*y + 4*r. Is 22 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6491 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 + -21688699?\nAnswer: -216886a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -94541, -103313, -112085, -120857, -129629?\n\"Answer: -8772*d - 85769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3314 - -334504?\nAnswer: 342222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 942 = 8*g - 706. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 116 + -113. Suppose -y*z + 1 = -2*z. Calculate the highest common factor of 10 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 12*a**3 - 2*a**2 + 2*a - 5. Is l(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kzzkkkzkkkzozz. Give prob of picking 1 k and 1 o.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2 + (-1 - 0 - -2). Let b(z) = -z**2 + 6*z + 4. Let m be b(6). Solve -r + m = -n*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve j + 8 = 443*a - 441*a, 2*j - 20 = -5*a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 3, v: 3, n: 9, d: 2, t: 1}. Give prob of sequence nvvn.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 201105, 201106, 201107, 201108?\nAnswer: 201109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 53*v**3 + 43*v**2 + 5*v. Let p(x) = -50*x**3 + 2*x**2 - 58*x**2 - 11*x - 55*x**3 - 29*x**2. Let c(d) = -3*p(d) - 5*z(d). Let c(r) = 0. What is r?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*n*u**2 - 17*n*u - n - 83*u**3 + 6*u**2 - u - 48 wrt u?\nAnswer: 4*n - 498*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -69*g. Let z(v) = v**2 - 310. Give t(z(r)).\nAnswer: -69*r**2 + 21390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -0.004561 + 6854659678\nAnswer: 6854659677.995439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 9*r + 4. Let c = -622 + 616. Let v(x) = -27*x - 11. Determine c*v(g) - 17*z(g).\nAnswer: 9*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1287916 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -6*s**2 + 13*s + 1. Let n be (15*(-84)\/1470)\/(18\/(-14) - -1). Let y(l) = -7*l**2 + 14*l + 1. What is n*y(d) - 4*x(d)?\nAnswer: 3*d**2 - 10*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 220231212 (base 4) to base 3\nAnswer: 22110202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 4*z**3 + 2*z - 1. Let x be r(1). What is the second derivative of -4*q + 371 + 6*q**x - 371 wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -3*l - 1. Let d(z) be the third derivative of -z**3\/6 + z**2. Let k be (-1 - -5)*(204\/48)\/(-17). Determine k*d(b) - h(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 2, u: 1, j: 1, e: 1}. Give prob of picking 2 b and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -56*y**3 + y**2 - y**2 + 12889 - 4*y**4 - 12609 wrt y.\nAnswer: -16*y**3 - 168*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.53 - -0.55. Let r = 0.2 - 0.08. Let o = r - y. What is the third biggest value in -0.4, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/11? (a) 0.3 (b) 11 (c) 1\/2 (d) -2 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -140 divided by 6884?\nAnswer: -35\/1721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((sqrt(5) - (sqrt(5) - sqrt(20))) + -3 - (sqrt(5) + 3*sqrt(20)))**2.\nAnswer: 150*sqrt(5) + 670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (3468\/(-255))\/(-17)*(-3)\/12\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 11245 and 1384.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.7, 1\/2, 0, 316, -47, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 912 or -379?\nAnswer: 912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the first derivative of -2*g**4\/3 - g**3\/6 - 9*g**2\/2 + 3*g - 39. Let w(m) be the second derivative of y(m). Give w(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:52 PM and 8:16 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 754 - 290*i - 1087*i - 754 to the form y*i + k and give y.\nAnswer: -1377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = r**3 - 53*r**2 - 930*r - 536. Determine t(67).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, 0, 4, 5.08, -5?\nAnswer: 5.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -k**3 - 133*k**2 + 265*k + 76. What is v(-135)?\nAnswer: 751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 830 - 829. What is the closest to 0.01 in 0.01, h, 1\/2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*l = 29 - 35 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 21*p**2 - 6. Let y(m) = 7*m**2 - 2. Give -3*a(w) + 8*y(w).\nAnswer: -7*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*t - 0*t + 15. Let g(s) = -s + 0 - 4*s - 5332*s**2 + 3. Let k be g(t). Round k to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29375 is divided by 153.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 40342843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 84 is divided by 54.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-72)\/162 - (-1222)\/(-3366). Let n = -2758\/1819 + -14\/107. Let w = n + a. Calculate the common denominator of -59\/18 and w.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -210*w + 4*q + 3 = -209*w, -4*w = 3*q - 50. Let r(m) = m**2 - 9*m - 7. Determine r(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 580716 and 1284.\nAnswer: 62136612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -31769 and 0.2?\nAnswer: 31769.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -63 + -732?\nAnswer: -805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 50, 96, 142?\n\"Answer: 46*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5424588 and 98892?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 8673522 + 0.5.\nAnswer: 8673522.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60 = -0*z + 4*z. Suppose 8 = 4*r + 4. Suppose -38 - r = -y. Calculate the remainder when y is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*y - 16 + 35 - 10 in the form t*y + s and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 19 - 2a8166?\nAnswer: -2a8148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h be 5 + -7 + 6*1. Let b = 6 - h. What is the first derivative of 2*k**b - 1 - k**2 + 0*k**2 wrt k?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -9*v**2 + 25*v. Let y(n) = -n**2 + 3*n. What is -6*m(h) + 51*y(h)?\nAnswer: 3*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve z - 17 = -85*m + 81*m, -z + 3*z + 4*m - 14 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 453 minutes after 12:57 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -65 - -95. Let r = 394467 - 196744481. Let b be r\/105 - (-4)\/o. What is b rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -e - -1b1cd?\nAnswer: 1b1be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = 47 + -26. Let c = s + -16. Suppose -6*x + 2*x = c*d - 70, 15 = 2*d - x. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5306 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: ((-35)\/(-105))\/(21\/(-18))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 12 and 6288.\nAnswer: 6288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -83.2 + -31204?\nAnswer: -31287.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -d**2 + 19*d + 1. What is t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2464 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -30*m - 1. Let k be a(-1). Suppose 9*u = 2*q + 6*u + 5, -35 = -5*q - 2*u. Solve -q*h - k = -g, -3*g = -h - h - 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 77614 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 4*g**2. Let x be 20\/6*(-27)\/(-15). Let i(b) be the first derivative of 2*b**3\/3 - 3*b**2 - 1. Let r(z) = -z. Let o(d) = x*r(d) - i(d). Give o(w(q)).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-3 + -5*sqrt(2) - (sqrt(2) + -4 + 3)).\nAnswer: -30*sqrt(2) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 328 in -3\/5, 0.1, 2\/11, 2\/15?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that -2*x**5\/3 - 1466*x**4\/3 - 11624*x**3\/3 - 5800*x**2 = 0.\nAnswer: -725, -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.1963 + 2.1963. Which is the second biggest value? (a) 0.2 (b) -278 (c) h (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*q + s - 8740 + 8809, 0 = -2*q + 3*s - 31 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4\/13 (b) -3 (c) -2672 (d) -0.07 (e) 2\/21 (f) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**(4\/13)*g**(-9))**(-15\/4) assuming g is positive.\nAnswer: g**(405\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 58820, 56789, 54758, 52727, 50696, 48665?\nAnswer: 46634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**3 - 43*l**2 + 94*l + 280. Let z be n(-45). What is the highest common factor of 31300 and z?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/3, 1\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 106256 is divided by 2471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-27)\/(1863\/92)*(-6)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uubyoquyquyqu. What is prob of picking 1 q, 1 y, and 1 o?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 928081 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is ((-14270)\/(-29967))\/((-2)\/42)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in sixty-nine halves of a microgram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1923575, -3847159, -5770743, -7694327, -9617911, -11541495?\n\"Answer: -1923584*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 134 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -14*o + 24. Let k(f) = 5*f - 8. Let n(z) = -8*k(z) - 3*w(z). Let u = 28 - 28. Let p be n(u). Sort 3, -4, p.\nAnswer: p, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11180 and 131666.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 12 = 2*o. Let k be 7\/(-21)*(-1 - o). What is the third smallest value in -0.08, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence msv when three letters picked without replacement from ssmmasvsmvmasdvmsmms.\nAnswer: 49\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/8)\/((-9)\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(98)\/sqrt(2))\/(sqrt(84)\/(2*sqrt(12) - sqrt(12))) - (4*(-5 + sqrt(700) + 1))**2.\nAnswer: -11456 + 1276*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 215 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 129111.17*3.\nAnswer: 387333.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -12.4 - -12.407. Let m = r - 0.107. Are 8 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 624.658 milligrams in micrograms?\nAnswer: 624658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-19)\/(-36) + 29\/(8091\/62)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, -8, -36771, 5 in descending order.\nAnswer: 5, 2\/5, -8, -36771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -1, -32821, -118.\nAnswer: -32821, -118, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**3 + 30*d**2 - 39*d + 287. Determine f(29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -63 - 65 = 16*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -294 + 299. Suppose -28*x - 1993 = -m*d - 26*x, 0 = -2*d - 4*x + 778. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 20.5 + -20.9. What is the nearest to m in -2, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/24*30 + (3 - (-8 - -13))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express ((4*r - 3*r - 5*r)*(-1 + 3 - 3) - 4*r + 6*r - 3*r)*(r**2 - 2*r**2 - 10*r + 9*r) in the form s*r**3 + f + k*r**2 + j*r and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*w + 2*w - 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 18 - 48 = 0. Suppose -171*t = -157*t - 28. Suppose h*n = n + t*y + 6067, 2*y = n - 1215. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 34 + 29 + (21 - 54) + 40.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 97\/40 and 101\/2260.\nAnswer: 4520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3 + -5. Let p = -0.2 - -0.1. Sort d, p, -4 in decreasing order.\nAnswer: p, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 2*n**3 - n**2 + 4*n - 2. Let m be p(4). Let r = m - -50. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 157 = -3*d - 2*h, 0 = -2*d - 5*h - 47 - 65. Let t = d + 53. Solve -5*z - 21 = -2*g, -10 + 4 = -t*g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1470?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 5 (c) 219.6 (d) 412\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 61*q - 6. Let p(y) = 171 - 26*y - 87 + 86*y - 89. Determine 4*g(u) - 5*p(u).\nAnswer: -56*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h**3 - 4*h**2 - 6*h + 38. Let a(r) = 7*r**3 - 20*r**2 - 30*r + 189. Let l(v) = 2*a(v) - 11*o(v). Let d be l(5). Which is greater: 466 or d?\nAnswer: 466","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -538 divided by -538\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 386652*z - 882787*z - 671586*z.\nAnswer: -1167721*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**3 + 9*q**2 - 14*q - 40. Let x be w(-10). Suppose x = -8*m + 1612 - 132. List the prime factors of m.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -76, -70, -62, -52?\n\"Answer: i**2 + 3*i - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 59 divide 128595928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -5*p - 8. Let w(q) = -23*q - 3. Let g(j) = 9*j + 1. Let c(x) = 5*g(x) + 2*w(x). Calculate 40*c(h) - 5*z(h).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3904 or 3903?\nAnswer: 3903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 3, 6816839 in descending order.\nAnswer: 6816839, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 108444 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**3 + 22*u**2 - 61*u - 112. Calculate x(18).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 2*j**2 - 14*j + 4. Let k be z(7). Suppose 3*r + 10 = -k*i + 2*r, -4 = -i + 3*r. Which is the fourth smallest value? (a) -0.2 (b) 2 (c) -4\/5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -27 + -6. Let f = -31 - d. Differentiate 1080*l**f + 29 - 6*l**4 - 1080*l**2 with respect to l.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 14 and 686?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 46286482 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 5*l = 0. Let d be 844 - (12\/4 + -3). Suppose l = w - 5*w + d. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ogo when three letters picked without replacement from {g: 6, n: 2, o: 3, m: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = j - 40 + 2440. Let v be (-5373 + 0 - 2)*j. What is v rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-84)\/(-22))\/((-14218)\/312796)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (15 - 1) + -1 - (-52 + 1 + 44)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 0*o + 2*o + 384 = 0, 237 = 2*n + 5*o. Let y be 0\/1 - (-2 - 1). Suppose 0*m = y*m - n. What is the common denominator of m and 10\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(378)*-3 + sqrt(378))*2)\/(sqrt(600) - 4*sqrt(600)).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 90*k**2 + 66. Let g(s) = -11*s**2 - 8. Let a(m) = -33*g(m) - 4*z(m). Let q(w) = 79*w**2. Give q(a(r)).\nAnswer: 711*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3)\/5 + 7216\/110. Solve -24 + n = -41*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1\/3*0\/13. Suppose b = 3*p - 22 + 7. Put 3, p, 4 in ascending order.\nAnswer: 3, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4\/9, 12, 6, 0?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 797328.8 milligrams?\nAnswer: 797.3288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c + 18 = -3*o, 5*c + o - 3*o = 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (-6 - (4 + -7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y + 44 = 52 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -22*h**2 + 6*h - 6. Let f(c) = -c + 1. Determine -6*f(z) - r(z).\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.3903 + 203.7097. Let x = y - 192. Let n = -12.10000049 + x. Round n to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 11905027, 23810123, 35715219?\n\"Answer: 11905096*u - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -3657192, -3657183, -3657174, -3657165, -3657156, -3657147?\n\"Answer: 9*s - 3657201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c**3 + c**2 - c + 1. Is 15 a factor of l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 1.3 (b) -4\/3 (c) 61 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -22 - -133\/6. Let k = -29 - -34. Let q = 0.112 - 0.312. Which is the third smallest value? (a) q (b) t (c) -2\/21 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -3 + 229*c - 362*c + 232*c. Let h(x) = x. Calculate r(h(t)).\nAnswer: 99*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 14220 (base 7) to base 9.\nAnswer: 5286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 4*m - 1394 = 0, 4*p + 2*m + 3*m - 2736 = 0. Calculate the highest common divisor of p and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r + 1. Let u be y(1). What is the greatest common factor of u and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 12*b**2 + 7*b + 6. Let v be (-65)\/(-9) - 2\/9. Let z(g) = 11*g**2 + 6*g + 6. Let o(m) = v*z(m) - 6*f(m). Differentiate o(q) with respect to q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 854805?\nAnswer: 3, 5, 7, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 3*g - 9. Let i(o) = o**2 + 6*o - 7. Let b be i(-8). List the prime factors of m(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 259373530 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 4*h**2 - 35*h - 4. Let z be j(9). Let x(n) = -94*n. Let w(v) = -280*v. Let q(s) = z*w(s) - 16*x(s). Let k(l) = l**2. Give k(q(r)).\nAnswer: 10816*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 4*r + 755 = 0, -14*q = -9*q + 5*r - 1260. Calculate the highest common factor of 69 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.068269 + -0.0654. What is g rounded to 4 decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:48 AM and 5:54 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*r**4 - 4*r**2 - 4*r - 106*r**3 - 201 + 200 + 104*r**3 to g*r**3 + n*r + o + u*r**4 + k*r**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 2*w**2 - 74*w + 171. Give h(37).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:00 PM and 1:43 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 2*y**2 - 7. Let u(v) = -3*v**2 + 10. Let x(b) = -63*b + 194. Let w be x(3). Calculate w*u(z) + 7*r(z).\nAnswer: -z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -5\/552961 and 31\/8?\nAnswer: 4423688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 156107 is divided by 3995?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 - 21*x + 7)*(-7*x + 5*x + 10*x).\nAnswer: -168*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be 350\/10 - (6 + -2 + -2). List the prime factors of ((-6)\/(-4))\/(d\/9130).\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -18755378, -18755353, -18755328?\n\"Answer: 25*x - 18755403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -28241466*q**3 + 1165772*q - 12?\nAnswer: -169448796*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*k**3 + 3*k**3 - 4886*k + 3*k**2 - 25*k**2 + 19*k**2 + 2*k**2.\nAnswer: k**3 - k**2 - 4886*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11\/4 - 173\/60. Let x = -0.149 + -102.851. Let m = -107 - x. Sort m, d, -0.4 in ascending order.\nAnswer: m, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*m**4 - 1494*m**3 - 358292*m**2 - 28036800*m - 27680000 = 0. What is m?\nAnswer: -346, -200, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 339 minutes before 2:33 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Work out -1442 - 15498.\nAnswer: -16940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 - 5 = -2*i. Suppose 2*y - 4*w + 3 = -3, -3*y + 2*w + i = 0. Suppose 648 = 31*a + 5*a. Calculate the remainder when a is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 372 and 3424353?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*i**5\/4 + 45*i**4\/4 + 30*i**3 + 20*i**2.\nAnswer: 5*i**2*(i + 1)*(i + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 2389, 4899, 7423, 9967, 12537?\n\"Answer: n**3 + n**2 + 2500*n - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -27311926, -54623848, -81935770?\nAnswer: -109247692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-36)\/((-11088)\/(-196))*(-8)\/14\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 65*s + 31*s + 78*s = 2610 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 2701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - 2 = 8. Suppose 2*p - 6 = -0*p. Put r, 1\/5, -4, p in ascending order.\nAnswer: -4, r, 1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m**2 - 12*m + 55. Calculate u(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p**2 - 8*p - 4. Suppose -7*b + 6*b + 24 = 0. Suppose 18*v - b = 15*v. Suppose 0 = -r + 2*r + x + 3, -v = 4*r + 5*x. What is a(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) 0.09 (b) 0.3 (c) -314\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1710*o**3 - 403*o**3 - 1314*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let -3*p**3\/5 + 8964*p**2 + 44829*p\/5 - 89646\/5 = 0. What is p?\nAnswer: -2, 1, 14941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2 + -1233?\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -2*y + 7*y, -5*x - 3*y + 56 = 0. Let a(o) = -x - 5*o**3 - 3*o**2 + 2*o**3 + 9*o**3 + 11*o + 4*o**3. Is a(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6\/(-15)*(-4 + -91). Is 46 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18 divided by 2394849.\nAnswer: -6\/798283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (915*g + 3240*g + 1571*g)*(2*g - 5*g + 2*g)*(2*g - 7*g + g).\nAnswer: 22904*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 504 and 25893.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 21 (base 4) to base 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:58 AM and 12:38 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -14322\/23 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*a**2 + 764*a - 72962.\nAnswer: -2*(a - 191)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1 - -129) + -1 + (1 - 0). Let l = 15\/9059 - -11749373\/90590. Let p = l - i. Which is the nearest to p? (a) -1 (b) -4 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0\/((-113)\/((-5198)\/92)). Let c be 1 + 1 + -1*2. Suppose f + c = 2. Solve d = -0*h + f*h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2573\/8 + 322. Put r, -3, -2, 0.2 in increasing order.\nAnswer: -3, -2, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x**3 + 8*x**2 + 6*x - 5. Let p be o(8). Suppose 0 = -l - c - 24, -2*l - 38 = 2*c + 2*c. Let t = p + l. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-143)\/78)\/((-4)\/12*11)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 22.5 + -21. Let d = 1.9 - s. Put 2\/15, -1, d in descending order.\nAnswer: d, 2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1244 divided by -622.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 23, 25, 3, -43, -113, -207, -325?\n\"Answer: -12*p**2 + 38*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = z + z. Let t be z + ((-4)\/3)\/(24\/(-36)). Solve -21 = 3*j + t*s + s, -5*j - 15 = s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -3*w**2 - 5*w - 1. Let u(i) = 6*i**2 + 9*i + 1. What is 5*k(c) + 3*u(c)?\nAnswer: 3*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -12 divided by -7\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.02564 to 3 dps.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 226250 is divided by 230?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes after 12:08 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19 + 45 + 18*k**3 - 64.\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 38, 478, 2 in descending order.\nAnswer: 478, 38, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (97\/(-485))\/(18\/20).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -769849 or -769848?\nAnswer: -769849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6 and 694.\nAnswer: 2082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 968 + -350?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -217 + 183.2. Let c = 34 + t. Let l = 8.8 + -5.8. Put 5, c, l, 0.3 in decreasing order.\nAnswer: 5, l, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*x - 30 - 30 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 42 and 24430462?\nAnswer: 73291386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.09448 and -0.19.\nAnswer: 0.0179512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 14, 28, -1, -2, -3 in descending order.\nAnswer: 28, 14, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(833) + -3 - sqrt(833))**2 - sqrt(17) - ((sqrt(102) + sqrt(102)*2)\/sqrt(6))**2).\nAnswer: -576 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/1824 and 25\/56.\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 4*c**2 - c + 1. Let s(i) = i**2 - 7*i + 14. Let f = -2 + 6. Let m be s(f). Suppose m*k + 5 = 7*k. Give r(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 12) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1245788 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3 + 3507\/28 - (-1)\/(-4). Suppose -n*h = -129*h + 2. Suppose 0 = 3*x - 7*x + 16, -h*z + 96 = 5*x. Calculate the remainder when 188 is divided by z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find d such that -65*d - 35\/4*d**5 - 40*d**2 + 295\/4*d**3 + 20 + 20*d**4 = 0.\nAnswer: -2, -1, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18247553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 62 and 8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 + 2.97. Let t = 0 + z. Let h = 99640 - 99645. What is the second smallest value in h, -9, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9 - 13. Suppose x = 1 - 2. Let t be x + (5\/(-4) - -2). Which is the third smallest value? (a) t (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47751*t**2 - 221*t**3 - 47747*t**2 + 191010*t**2 - 47757*t**2 + 218*t**3 - 47755*t**2.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(54)\/sqrt(3))\/sqrt(9) - (sqrt(32) + 0))*6 + (-1 + 2 + sqrt(2) + sqrt(10)\/(sqrt(30)\/sqrt(6)))**2.\nAnswer: -14*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10119586?\nAnswer: 2, 23, 179, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6 and 1437.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = c. Let t(s) = -387*s - 509 + 509. Calculate y(t(d)).\nAnswer: -387*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19051, -76160, -171333, -304570, -475871, -685236, -932665?\nAnswer: -1218158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of (-2)\/7 + (-2101)\/(-77) and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes after 3:22 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = 3419 + 5794. Suppose 0 = 2*m + 2*d - 582 - 650, -5*m + h = 2*d. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:04 PM and 4:56 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 92823927 rounded to the nearest 1000000?\nAnswer: 93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 21459 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2\/10)\/(((-14)\/(-35))\/(138\/(-115))). Which is the smallest value? (a) -0.3 (b) w (c) -2.1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:55 PM and 4:42 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 508 minutes before 9:39 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that -85805*t**4\/6 + 11500490*t**3\/3 - 257019830*t**2 + 47055440*t\/3 - 718240\/3 = 0.\nAnswer: 4\/131, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/46, 0.2, -3\/8, -0.04, -1\/4 in descending order.\nAnswer: 0.2, 1\/46, -0.04, -1\/4, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*a**3 + 25*a**3 - 10*a**3 + a - 32*a**3 + 2*a**4 + 4 to h*a**3 + z*a**4 + p*a**2 + o + l*a and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 37*l**3 - 73*l**3 + 35*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be (6\/(-20))\/((-3)\/(-4)). Let y = 19 - 24. Let v = y + 0. Which is the nearest to -1? (a) i (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11606 is divided by 159.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 393\/1310 - (-1120581)\/30 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -613002336 + -2?\nAnswer: -613002341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 25a0416 + 42?\nAnswer: 25a0458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = 59 - 10. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -139\/3188442 and 101\/2724.\nAnswer: 6376884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1405141, -1405139, -1405137, -1405135?\nAnswer: -1405133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 56200 and 6463.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -107275438 rounded to the nearest one hundred thousand?\nAnswer: -107300000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(135)*-3*-1*-1)\/((sqrt(3) + sqrt(15)\/(sqrt(5) - sqrt(125)) - (sqrt(3) + sqrt(30)\/(sqrt(10)*2 - sqrt(10))))*-1).\nAnswer: -36*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(6*(-1 + sqrt(98)) + 0).\nAnswer: -42*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/(-5)*(-80)\/(-256)*-2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:36 PM and 8:26 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + 3*(1*sqrt(242) + sqrt(242)) + sqrt(242))*-1)**2 + 6*((-2 + 2*sqrt(2))**2 - (sqrt(2) + sqrt(64)\/sqrt(2) + sqrt(2))).\nAnswer: 378*sqrt(2) + 11939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -3*c**2 - 2*c + 449. Let t(j) = j. What is t(l(m))?\nAnswer: -3*m**2 - 2*m + 449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + -8 + (149 - 179) + 3 + (0 - -1).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -2*m + 7. Suppose m*p - 20 = -8. Which is the closest to -2\/9? (a) -2 (b) p (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g. Suppose 0 = -61*n - 241 + 58. Let h(k) = 5*k**2 + 4*k. Determine n*v(u) - h(u).\nAnswer: -5*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 217*p**2*y + 106*p*y + 2 wrt p.\nAnswer: 434*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 4\/3*c**3 + 2 - 2\/9*c**4 + 16\/3*c**2 + 52\/9*c.\nAnswer: -2*(c - 9)*(c + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3889045?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide 2047352775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 29*g + 1018. Let s be x(-35). Factor 1\/2*t**5 + 2*t - 3\/2*t**s + 2*t**2 + 0 - t**4.\nAnswer: t*(t - 2)**2*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 10179303 and 8523?\nAnswer: 30537909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve b**3 + 1093*b**2 + 184883*b - 67289209 = 0 for b.\nAnswer: -631, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.460312 centuries to years.\nAnswer: 946.0312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 2*w**2. Let f(m) be the third derivative of 7*m**4\/24 - 7*m**2. What is y(f(t))?\nAnswer: 98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*h**2\/7 + 36*h\/7 - 81\/7.\nAnswer: -3*(h - 9)*(h - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -12 - (8140\/30)\/(-22)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -62 + -2115573?\nAnswer: -2115655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3849, 3818, 3763, 3672, 3533, 3334, 3063, 2708?\nAnswer: 2257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 162175 and 140660?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -140*h + 1. Suppose -5*w + 68 = -c - 3*c, 0 = 5*w - c - 62. Suppose -13 = 5*m + w. Is g(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3993)*-1)\/(sqrt(176)*2) + ((sqrt(3)*-5*6)**2 - (-5*sqrt(3) + 2)).\nAnswer: 29*sqrt(3)\/8 + 2698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 215*f - 383*f = -1008 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 5 * 0.149\nAnswer: 0.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 4\/7, 56, 1\/2, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -5*j + 13 + 77, 0 = 3*j - 4*l - 54. Calculate the remainder when 33 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -10*t**2. Let o(z) = -10*z**2 - 1. What is o(v(r))?\nAnswer: -1000*r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 146 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2 + 50829\/(1 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 218988?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 - 0.04. Let m = f - 0.04. Let g = m - 0.02. Which is bigger: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 225480572 from 4.\nAnswer: -225480568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -23 (b) -5 (c) 5 (d) 0 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: ((-159)\/(-30) - 5)*(-40)\/48\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -965.894 rounded to the nearest 10?\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 4*a - 45 = 0, -5*l = a - 15 - 15. Let c(n) = n**3 - 2 - 1 - 5*n - 3*n**2 - n**2 + 6. Let m be c(l). Which is greater: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30507 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(270) + sqrt(270)*1)\/sqrt(6)*2)\/(sqrt(1296)*1*-1).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor m**2 - 1421024*m + 504827302144.\nAnswer: (m - 710512)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*r**3 + 35*r**3 - 3*r**3)*(0 - r + 0) + (-3*r + 4*r**2 + 3*r)*(73*r - 73*r - 16*r**2).\nAnswer: -93*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -38475 = -548*s - 35187 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be 8 + 2 - (0 - -4). Let o(h) = h**2 - 9*h + 13. Let r be o(j). Is 66\/(-4)*(r + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-36)\/(-27))\/((-2)\/3). Let n be (-1 + -2)\/(w - (-386)\/194). Let z = -181 + n. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 69 - 111. Let h = 41 + s. Which is the second smallest value? (a) h (b) 0.4 (c) -4\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 + -1)\/((-44)\/220).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 6*f - 2. Suppose 3*g = -2*g + 15. Let a be t(g). Suppose -1 + a = 3*c. What is the smallest common multiple of c and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 366292 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (0 + (-49)\/(-70))\/((-24)\/40)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 3646 at least as big as 3646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 68, -1\/17, 23, -1\/2, -0.07, -0.1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5050, 10098, 15144, 20188?\nAnswer: 25230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z**5\/4 - 579*z**4\/4 + 4091*z**3\/4 - 6441*z**2\/4 + 1465*z\/2 = 0. What is z?\nAnswer: -586, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1563967067 to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 60 + -241\/4. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -6, -5, 2 in decreasing order.\nAnswer: 5, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of 637 and -119.\nAnswer: -75803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1701187717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1071\/4 or -267?\nAnswer: -1071\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 4*q - 14. Suppose -2*o - 2*u = -2 - q, -4*o = 3*u - 18. Let w(f) = 10*f**2 + 533*f + 162. Let n be w(-53). Solve o*b + 0 - n = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -6, -2, -15.\nAnswer: -15, -6, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h = 12*h + 48. Is -16\/5 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 29968 and 52444?\nAnswer: 209776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -13.8593 rounded to two dps?\nAnswer: -13.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 4*4\/32*26*7 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 7}. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f + 368 = -i + 322, -4*f - 9*i + 70 = 0 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 249214486 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*w**5 - 3*w**4 + 871*w**3*x - 3*w**2*x - 5108*w**2 wrt w.\nAnswer: 120*w**2 - 72*w + 5226*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that c**2\/6 - 21*c - 705\/2 = 0.\nAnswer: -15, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 1. Let v(r) = -9*r - 12. Let i(q) = -5*h(q) + v(q). Let g be i(-3). Solve -l - 4*o - g = -2*o, -o + 6 = -5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes before 4:37 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 457 minutes after 6:48 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 849 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1843152 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjjpjjjpjpjj. Give prob of picking 2 j and 1 p.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = -565 + 536.52. Let n = 0.02 - u. Let j = n - 37. What is j rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 588.1289 millennia in centuries?\nAnswer: 5881.289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 14*x**2 - 2*x**3 + 2*x + 28 + 30 - 13*x**2 + 87*x**2 - 56 in the form m*x**2 + w*x + t*x**3 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -342*d + 345*d + 4*r = 44, -r = 4*d - 11 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1376599 or -1376595?\nAnswer: -1376595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -3\/4, 0.1, 3\/2, 1\/8, -1, 0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 20501.90016 + -20499. Let j = 3.7 - 0.8. Let g = j - m. What is g rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve k = 49*h - 148 - 49, 2*k - 9*h + 38 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j - 371 + 325 = -4*l, 2*j + 41 = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 60*v**2 - 22*v + 1. Is c(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -15184, -15174, -15168, -15166, -15168, -15174, -15184?\n\"Answer: -2*i**2 + 16*i - 15198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 4, w: 1, j: 1, o: 2}. Give prob of sequence jwo.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 4 = k + 13, 4 = -2*k. Let l(d) = 2*d**2 + 2*d - 4. Calculate l(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -3751 + 382. Let i = d - 363. What are the prime factors of i?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.36 - -0.26. What is the second smallest value in 8, -0.07, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1073013 (base 9) in base 16?\nAnswer: -8d7ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the first derivative of -6*z**2 + 3 + 20*z + 5\/3*z**3. Is k(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*d - 80 = 11*d. Solve 3*m - d = -7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2967.792 - -0.08.\nAnswer: -2967.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33*h**3 + 23 - 43 + 10*h**3 + 20 - 6*h**3.\nAnswer: -29*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*u + 3*x - 6*x - 10, 2*u = 5*x + 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1, -5, -640?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3021 + 12?\nAnswer: 3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 312 (base 13) to base 2\nAnswer: 1000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-1866)\/(-18))\/(10\/(-6) - 24\/(-12)). Solve 14*j - 283 = -d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -2*g - 2. Let f be n(-2). What is the second derivative of -2*q**2 + 14*q - f*q**2 + 5*q**2 + 0*q**2 wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -5 + -2416?\nAnswer: -2422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 66040 and 22679660.\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + (1 - 0 - 7) + -12 + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 75.219 in 2, -0.19, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 12821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.0319 from 1.1.\nAnswer: 1.1319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = 64\/91 - -8025\/364. Find the common denominator of v and 1 + (-2)\/((-32)\/(-380)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = r**2 - r - 3. Suppose 4*z + j - 15 = 10, 2*z = 5*j - 15. Suppose 0 = -5*i - z + 75. Let v be (-4)\/i - (-8)\/28. Give t(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes after 5:27 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 120 by 5.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4479.9 + -70.9. Let g = p + -4409.000006857. Round g to seven decimal places.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sjjj. What is prob of picking 2 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(1008) + -3) + sqrt(1008) + 1*3*sqrt(1008))**2 - ((sqrt(8064) - 2*sqrt(8064))\/((sqrt(72)*-1 - sqrt(72))\/sqrt(9)))**2.\nAnswer: 288*sqrt(7) + 3816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = 3*f + 20. Is (2 + f\/2)*-134 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 5\/((-288)\/294 - -1). Let h = a - 48. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 106 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 - -19)*(-2)\/(-4). Suppose -32 = 7*f - v*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 25, 1\/4, -903, -3 in decreasing order.\nAnswer: 25, 1\/4, -3, -903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*x - 10793 + 16*x - 3*x + 10793.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-3*sqrt(84)*4)\/(sqrt(12) + (sqrt(288)\/sqrt(8))\/sqrt(3) - sqrt(12)).\nAnswer: -12*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 3*d**2 + d + 30. Let c be y(-7). Let p = 10 + -6. Suppose -p*u = u - c. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1724 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.4, 0.357, 6\/11, -1\/4, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (35 - 18 - 126)*(-2*o**3 + 6*o**3 - o**3) + (0*o**2 - 2*o**2 - 9*o**2)*(-1 + 2*o + 1).\nAnswer: -349*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 60 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 13793333, 27586659, 41379973, 55173269, 68966541?\n\"Answer: -o**3 + 13793333*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = k - 15. Suppose -180 = -14*j - 40. Give l(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(-3)*(-60)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 3\/8 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8266077058 - 5*x**2 - 8266077058.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(-2) + (-15)\/(-30). Suppose 2*l - 4*l + 42 = q. Factor -43*o - 60*o + 24 + 90*o**2 - l*o**3 - 47*o + 42*o.\nAnswer: -3*(o - 2)**2*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -40575*b - 118. Is z(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 4 (b) -19 (c) 6\/23 (d) 19 (e) 0.19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 534 by 1.\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = -97 + 162. Suppose 0 = 4*f - 4, c + 0*c + 39 = -5*f. Let z = c + n. Calculate the remainder when z is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 0 + -101001001?\nAnswer: -101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 4*q = -1 + 93, 0 = -2*l + 2*q + 60. Let b = 41 - l. Suppose -30 = -2*k + 4*g, 3*g - 62 = -5*k + b. What is the remainder when 43 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 300*w + 1485. Determine s(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(5))*-2 + (sqrt(5) - (1*sqrt(45))\/sqrt(9)) - (sqrt(40)*-2)\/(sqrt(20)\/(sqrt(20)\/sqrt(2))).\nAnswer: 4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*q - 3*q - 2*q)*(-4 + 0 - 2) + q + 0*q - 3*q + (-2*q - 3 + 3)*(-376 - 117 + 112) - q + 5*q - 7*q.\nAnswer: 763*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 + 8*l**2 + 25*l**2 + 0 to the form b*l**2 + s + x*l and give b.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -527917 or -527918?\nAnswer: -527918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 5*m - 4. Let z(g) = 7*g + 25. Let c be z(-2). Let y(l) = 26*l - 19. Let p(n) = c*s(n) - 2*y(n). Determine p(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 - 5 = u. Let l = -246 + 231. Let c be (42\/1155)\/((-3)\/(l + 0)). Sort u, -1\/2, 2\/13, c in descending order.\nAnswer: c, 2\/13, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = q**3 - 46*q**2 - 398*q + 263. Determine p(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 9524 and 540.\nAnswer: 1285740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -2*t - 12. Let s be b(-8). Let p(u) = 4*u - 10. Is p(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -34 + 23. Which is smaller: u or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (65\/(-5))\/(8\/(-24)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -121*y + 134*y - 44226 = 0. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -53*c = -60*c + 63 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from pcuqup.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -1 + (1 - 6) + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9 - 7. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of (-4 + 10)\/(-3) - (-1 - 177)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the first derivative of r**9\/9072 + r**8\/1680 - r**6\/270 + 2*r**3 - 8. Let m(f) be the third derivative of y(f). Determine n, given that m(n) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/18 - 68*(-55)\/(-28050))*5\/81.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2373025561.\nAnswer: 2373025561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-2\/9)*(((d**2*d)\/d)\/d)\/d)**(2\/137)*(d*d**(-5))\/d*d**6*(d\/d**(2\/3))**(-2\/173) assuming d is positive.\nAnswer: d**(211795\/213309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 84, 171, 258, 345, 432, 519?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -6810, -8356, -9902, -11448, -12994?\n\"Answer: -1546*g - 5264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -9\/55 and 51\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = 5*t, -26*t = -u - 31*t + 1559. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62 = 5*w + 3*y, -56*y + 51*y = -2*w. Solve w*j + 7*j = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2135*o + 2926*o = 22148 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8.6 - -5.6. Sort 5, w, -4.\nAnswer: -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8.6248 minus 0.15?\nAnswer: -8.7748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1627924764?\nAnswer: 2, 3, 263, 379, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 22, 110, 268, 496, 794, 1162, 1600?\n\"Answer: 35*w**2 - 17*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -10c (base 13) to base 8\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) be the second derivative of w**4\/3 - 7*w**3\/6 + 41*w**2 + 35*w - 2. What is the derivative of y(h) wrt h?\nAnswer: 8*h - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3514544463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2047\/30 or -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from yyyylyl?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 + 2 = -3*x. Suppose 0*m = 3*m - x*v - 36, -2*m = 3*v - 44. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 3*c + 110 = 0. Let x = -18 + c. Calculate the remainder when (18\/x)\/(-1*1\/(-12)) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17800 minus 83?\nAnswer: -17883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18\/30*25\/(-90).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.6 + 0.6. Let d = 793\/8 + -99. Let b = 15.2 - 15. What is the closest to -1 in j, d, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 = 4*d + b, -3*d - b + 12 = -11. What is the smallest common multiple of d and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 39\/1083488 and -16\/53207.\nAnswer: 11918368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*p*t**2 + 2*p*t*w**3 - 182*p*w**3 - 41*t*w**3 wrt t.\nAnswer: -4*p*t + 2*p*w**3 - 41*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-15)\/(-10) + (1122\/(-12))\/(-11) + -8. Is y greater than -43\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 1839 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 57426553 to the power of 1\/2, to the nearest integer?\nAnswer: 7578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 2750 divided by 55\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11363\/1332 - 169\/148. Find the common denominator of j and ((-30)\/(-148))\/(15\/65).\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3 and 1981478?\nAnswer: 5944434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2979759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 206367 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, -13, 1, -2 in descending order.\nAnswer: 1, -0.4, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/(t*t*t**3))**(-1\/8)*t*t**(5\/6)*t**(-4\/7))**(-2\/95) assuming t is positive.\nAnswer: t**(-74\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-144)\/56)\/(22\/(-231)) is divided by ((-270)\/(-162))\/(2\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*q**3 - 2*q**3 + 210977*q**2 - 210926*q**2 + 1.\nAnswer: -20*q**3 + 51*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pgkk when four letters picked without replacement from {y: 2, g: 1, q: 1, p: 2, k: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 104 - 205. Let r = a - -288. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(12) + -1 + (sqrt(3)*-2 + -3)**2 - (0 + 3 + sqrt(15)\/sqrt(5) + -2).\nAnswer: 19 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1109*a**4 - 130*a**2 wrt a?\nAnswer: -26616*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 310 - 307. Solve 1 = -z*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12 - -13. Let d be (4 - -1)\/(n\/1). Let i = d - -198. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 3, g: 3, m: 2}. Give prob of picking 2 v and 2 m.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7564.14*117.\nAnswer: -885004.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = z - 0*z - 25, -4*w + 2*z = 20. Sort -11, -2, w, 4.\nAnswer: -11, w, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 403 - 50. Suppose -12*h - k + 3257 = 0. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 57.0034 - -48.4663. Let a = m + 0.1303. Round a to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5110*l - 5111*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4 - -1. Let p be (6 - d)\/((-2)\/(-14)). Factor -t + p*t + t**2 + 2*t**2.\nAnswer: 3*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -3178 (base 12) to base 5\nAnswer: -133140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**2 - 8*t - 7. Let r be m(-7). Let v(q) = -q**2 + r + 3 + q + 4. What is v(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i**3 - 7*i**2 + 17*i - 3. Let z be u(-9). Let x(n) = -19*n + 120. Let h be x(z). Let w(r) = -r + 1 - 1 - 1. What is w(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 2*l - 7. What is the units digit of (-528)\/(-15) - l\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2211 and 670?\nAnswer: 22110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 4 + 6 + (2 + 1 - 5)*(-2 - 3 + 2))*((-2*f + f + 2*f)*(1 + 1 - 1) + 5*f + 7*f - 5*f).\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from {u: 1, v: 4, k: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 905 + -13577\/15. Sort 4, 3\/37, u in descending order.\nAnswer: 4, 3\/37, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -46606 divided by 7.\nAnswer: -6658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*u + 32 = 87 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1539)*-1 + (sqrt(19) - -1*sqrt(19)) + 3 + 2)**2.\nAnswer: -70*sqrt(19) + 956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = 3*x + 256, -b - 15 = 4*x - 60. Calculate the remainder when b is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3596 (base 11) in base 6?\nAnswer: -33435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 51 and 4233?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 18 = y - 2*a, -3*y + 2*a - 4 = 0. What is the nearest to y in -4, -2\/13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -23721 + 40282. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*f - 53*f - 151 + 307 - 148.\nAnswer: -65*f + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 - 69*l - 15 + 8 + 54*l.\nAnswer: -15*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-118)\/(-14) - (-3)\/(-7). Let a be ((-1)\/(-2))\/(4\/h). Suppose 2*y - 4*g = y + a, 0 = 4*y + g - 55. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 6) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -981 + 989. What is the smallest common multiple of u and 686?\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 5595253338?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) be the third derivative of -u**5\/60 - u**2. Let h(k) = -6 + 2 + 4 + 2*k. Calculate h(o(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -20280000 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 3*v + 5 = 0, v = 35*m - 34*m - 3. Put m, 56, 3, 4, 0 in descending order.\nAnswer: 56, 4, 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 - -30. Let v = c + 66. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 510, 533, 566, 615, 686, 785, 918?\nAnswer: 1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 4*a - 12 = 0, 0 = 3*o - 4*a - 2 - 20. Find the third derivative of -o*p**2 + 8*p + 16*p**2 - 95*p**3 + 10*p - 14*p wrt p.\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30\/(-60) - 2\/(2 + -3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*w + 4 = 11*w. What is the closest to 0.1 in 3\/4, -4, w?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:08 PM and 11:36 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 3*l = -4*l + 7, -2*u + 3*l = 7. Let f be 1\/((9\/2)\/9). Suppose f = -6*j + 20. Solve j*p + 5 = -u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6 and 2916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67 + 67 = 2*s. Suppose -s*k = -63*k - 84. Differentiate 163*f + k*f**2 - 18 - 163*f with respect to f.\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -14*m + 3. Let k(n) = n + 1. Let f(y) = 5*y - 2. Suppose -2*i + 0 = -c - 14, -14 = 5*c + 4*i. Let b(o) = c*k(o) - 7*f(o). Determine -3*b(h) + 8*v(h).\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 575.4393mg in micrograms?\nAnswer: 575439.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 5*v - 2. Let x(o) = -3*o + 1. Let z(b) = 4*i(b) + 7*x(b). Let q(u) = 100*u - 4599. Let t be q(46). Let n(m) = 4*m + 3. What is t*n(j) + 2*z(j)?\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 15) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(45)\/((-3*sqrt(81))\/sqrt(9)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -133\/30 and -73\/56930.\nAnswer: 170790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -2*l**2. Let b(o) = 45774943*o**2. Calculate a(b(w)).\nAnswer: -4190690813306498*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y**3 - 7*y**2 + 9*y + 11. Let l be s(5). Let r(n) = -n**2 + 9*n - 5. Is 4 a factor of r(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -2.432 and 2?\nAnswer: 4.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 188927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/56 and -69\/41185382.\nAnswer: 164741528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 11355, -8, 2 in ascending order.\nAnswer: -8, 2, 5, 11355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13420 + -9004. Suppose -4*q - o = -4*h, 3*q + 1106 = 37*h - 36*h. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = -a + 3071, -4*a + 0*u + 2*u + 12296 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -48539 equal to -48539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*l + 3*l + 0*l + 5)*(l + l - 3*l) to z*l**2 + g*l + d and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -154069.8826 rounded to the nearest 100?\nAnswer: -154100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 30, 111, 246, 435?\n\"Answer: 27*n**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1 + 3 - 19) + -3. Let s = -26 - m. Let n be 14\/s - 1\/4. Let r(l) = -5*l**2 - 2*l + 2. Determine r(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2365178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 0, 1, -1, 12\/83?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1110 is divided by 69.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 836454 is divided by 12673.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hmhh when four letters picked without replacement from hmhhhhhm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -1. Suppose 5*n + 5*w + 30 = 0, -5*w + 39 = 4*n + 68. Let z(v) = 9*v + 5. Determine n*z(k) - 4*c(k).\nAnswer: -9*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4904458, 4904461, 4904466, 4904473, 4904482, 4904493, 4904506?\nAnswer: 4904521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1024 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t**2 - 6*t - 4. Let y be f(-5). Let s(r) = 5*r**2 - 1. Let d be s(y). Suppose d*o + o = 0. Solve o = -3*j + 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-3)\/(-18))\/(3*3\/54)*654527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -778, -1432, -2088, -2746, -3406?\nAnswer: -4068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g and 1 m when three letters picked without replacement from mfmmzfffgzmdgzp?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 51 minutes before 10:44 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 523 + a?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -2 * -110105906\nAnswer: 220211812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -6*h - 9. Let w(c) = -1. Let t(y) = -5*i(y) + 45*w(y). Let x(p) = -p. What is x(t(v))?\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -8317 = 73*g - 7149 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3836 + -3836.6652. Round q to two decimal places.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 792458932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -840619363, -1681238726, -2521858091, -3362477458, -4203096827?\n\"Answer: -x**2 - 840619360*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**2 + 1. Let q(s) = 16*s**4 - 40*s**3 + 14*s**2 + 13*s - 3. Let w(g) = -q(g) - 5*y(g). Determine n, given that w(n) = 0.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 311564055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*m + 4*m + 0*m)*(1 - 1 + m**3 + (5 + 3 - 2)*(m**3 + 0*m**3 - 3*m**3) + (m + 2*m - 6*m)*(-m**2 + 3*m**2 - 3*m**2)).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 57\/49487408 and 9\/680.\nAnswer: 247437040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = j**2 - 7*j + 36. Calculate w(10).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2070*z - 1 + 1 - 1850*z + 3920*z + z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -214\/109 (c) -10 (d) -3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 2216164 (base 7) to base 2\nAnswer: 1000010110000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be (3\/6)\/((-2)\/4)*-8. Suppose -13*r = -p*r - 275. What are the prime factors of r?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -1428 * -623\nAnswer: 889644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 157112 and 96075904?\nAnswer: 3832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(72)\/(sqrt(4) - -1*sqrt(4)) + sqrt(18))\/sqrt(9))**2 + -5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x - 34*h = -93, 3*h + 1029 - 1030 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ks when two letters picked without replacement from {r: 4, k: 2, s: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 15 - 13. Suppose 0 = 4*y + 5*n - 167, 15 = 3*n + a*n. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -163 = -2*f - 171 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -j**3 - 1121*j**2 - 4*j - 252 wrt j?\nAnswer: -6*j - 2242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -39 + 40 + 23*u + 14*u**2 + u + 20*u + 40*u**2 as p*u + l*u**2 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -4 (b) -1 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is a + -233?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2 + -1 + 0 + 3. Let f = 4013 - 4009. Differentiate -9*h**f - 29*h**4 + 22*h**v + 25 wrt h.\nAnswer: -64*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -27361.246 to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange m - 197 + 101 + 8*m**2 + 93 to the form x*m + k + s*m**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 572*t + 298*t + 46*t + 65*t in the form i*t + j and give i.\nAnswer: 981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the second derivative of 1\/15*q**4 - 1\/25*q**6 - 1\/5*q**3 + 1\/5*q**2 - 2*q + 0 + 1\/25*q**5 + 1\/105*q**7. Find l such that h(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 + 0)*(27869*d - 27869*d + 328*d**3) + 0*d**3 + d**3 - 3*d**3 + (-3*d + 3*d + d)*(d**2 + 0*d**2 + d**2).\nAnswer: 656*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 134009*j + 4*u - 25 = 134008*j, 4*j + 3*u - 22 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8 - -11. Let x = 364 + -360. Solve -w*o - 32 = 5*p, p = -x*p - o - 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10, 59, 108, 157?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13602 = -164*i + 166*i. Suppose 17*t + i = 20*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 356333 < 4632330\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1534.\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 19870490 to the nearest ten thousand.\nAnswer: 19870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 22 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -132*l - 1 = -131*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 268080.8 litres in millilitres?\nAnswer: 268080800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j**2 + j + 1. Let g(q) = 2*q**3 + 6*q**2 - 5*q - 5. Suppose 5*b + n + 0*n - 10 = 0, 8 = 3*b + n. Give b*g(c) + 5*r(c).\nAnswer: 2*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8 + -10. Let x = 0.2 + -4.2. Sort f, x, -0.2 in increasing order.\nAnswer: x, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is z in 2*z**2\/11 + 58196*z\/11 + 423346802\/11 = 0?\nAnswer: -14549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w - 3*p - 4002, -3*p = 4*w - 0*w - 5357. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -s. Let k(g) = -g**3 - 3*g**2 + g + 3. Let x be k(-2). Let u be j(x). Suppose 0 = -f - 2 + 6. Solve -f*w - 3*l + 6 = -7*w, -2*l = -u*w - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4697?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/(100\/15)*((-130)\/15 - -8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12 - -13. What is the units digit of 25\/(-20)*(-13 + n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of c**2 + 3*c**2 - 4 + c**2 - 2*c**2 wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*r - 5*r + 30 = 0. Let s = r + 6. Suppose -4*v = -5*t + 35, -2*t + 4*v + 23 = -t. Which is the closest to s? (a) t (b) -3\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -13.99 + 14. Put -4, t, 3 in decreasing order.\nAnswer: 3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 14928, 14942, 14966, 15000?\n\"Answer: 5*o**2 - o + 14924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 2876747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = 263\/1430 - 9\/65. Let n(v) be the first derivative of 0*v + 2\/11*v**3 - 4 + 0*v**2 + a*v**4. Factor n(w).\nAnswer: 2*w**2*(w + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 677 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 2, y: 1, m: 5, h: 1}. Give prob of sequence yhbh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -2\/7, -8, 36.65, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(200) + 1*sqrt(200))*-6)\/sqrt(10))\/(sqrt(640)*1*3))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 288 or -598\/8893?\nAnswer: -598\/8893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.13 and 6.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h**2 - 2*h**2 - h**4)*(-128 + 49 - 75) - 7*h**4 + 2*h**4 - 3*h**4.\nAnswer: 146*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 8578*b - 136282 - 135424 - 45680 = 0 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8062 + -8061. Let c be 1\/165*-1*1. Which is smaller: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2633.5 + -2633. What is the second biggest value in -1.34, -4, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -464.7093 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Subtract 172 from 389.8319925395.\nAnswer: 217.8319925395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11218263.\nAnswer: 3, 7, 534203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*(-3)\/(-9)*12\/(-64).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -39 + 42. Let a(w) = -w**3 - 5*w**2 + 6*w - 3. Let f(o) = o**3 - o. Let c(q) = -a(q) - 2*f(q). Determine c(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -49, -6, 7, -12331 in decreasing order.\nAnswer: 7, -6, -49, -12331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-11)\/s)\/s*s*(s\/(s**(2\/7)\/s))\/s)\/(s**(-3)\/(s*s**(-2\/19))) assuming s is positive.\nAnswer: s**(-983\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8 + -9. Let g be y + (5 - 0) + 0. Suppose 3*v + g*x - 10 = 0, -6*x + 4*x + 10 = 4*v. Solve 3*o + v*d + 6 = 0, 0*o - 32 = 5*o - 4*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/24)\/(2\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 + 1. Let k = -1.9 + 2. Which is the second smallest value? (a) -4 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -34 + 23. Let v = c - -15. Find the second derivative of -36*p + 44*p + 10*p**4 + 5*p**4 - v*p**4 wrt p.\nAnswer: 132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and 25\/1014 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 82 a factor of 2050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -4*j + 0*j + 5*j. Let v(f) = 29*f**2 + 78918*f - 78921*f - 63*f**2. Give v(x(c)).\nAnswer: -34*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:59 AM and 10:52 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in f - 2*f - f + 4348 - f.\nAnswer: -3*f + 4348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p + 2. Let z be d(2). Solve 0*m + z*m = 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the second derivative of -o**6\/165 - o**5\/110 + o**4\/66 + o**3\/33 - 4*o. Determine i, given that m(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -130 - -140 - (4 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of -14025.294 and 1.\nAnswer: -14025.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 610874042?\nAnswer: 2, 9377, 32573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -3115, -3113, -3111?\n\"Answer: 2*r - 3117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00070918994 rounded to 7 decimal places?\nAnswer: -0.0007092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*d - 14*d + 36. Let t = 26 - d. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -2*x + 389. Let r(y) = 15377*y. Give r(n(i)).\nAnswer: -30754*i + 5981653","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from osuuxoooh. What is prob of picking 1 h, 1 u, and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -1814*w**2 + 7*w - 1. Let f be o(-8). Let c = 228153 + f. Round c to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -6 - 18*w**2 + 6. Let k(x) = -1. Let m(o) = o**2 - 5. Let l(f) = -15*k(f) + 3*m(f). Calculate v(l(y)).\nAnswer: -162*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = -18 - -17.1. Let h = 1.4 + r. What is the biggest value in -6\/5, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 505 is divided by 67.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -13*a**2 - 11*a. Let t(m) = 9*m**2 + 7*m. What is 5*r(u) + 8*t(u)?\nAnswer: 7*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1246 take away 270267?\nAnswer: -269021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 3b22 (base 16) to base 15.\nAnswer: 4743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2 - -8. Let b = -10 + t. Let n = 0.0576 - -2.5424. Which is smaller: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -129\/19760 and -83\/15444.\nAnswer: 5868720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -16*q - 11*q + 12*q - 12*q as a*q + f and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 126, 91, 42, -15, -74, -129, -174?\n\"Answer: z**3 - 13*z**2 - 3*z + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15*(-10)\/2310*-28)\/(2\/(-99)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4031*v - 3976*v - 4620. Solve v = 113*q - 125*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 7*t - 3*t**2 - 5*t - 5*t. Suppose -3*k = 2 + 4. Determine s(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-30) + 238\/840*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 10*d**2 - 4*d - 8. Let f(x) = 11*x**2 - 5*x - 10. Let r(w) = -5*f(w) + 6*z(w). What is r(2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -2472.6 and 3.\nAnswer: -7417.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 70*x. Let u(k) = -5*k. Let z(g) = 6*b(g) + 85*u(g). Let n(f) = 2*f**2. Give n(z(v)).\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 196 = 3*z - 2*z, 4*v = -17*z + 228. Calculate the remainder when 561 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -27896 or -27938?\nAnswer: -27896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*w + 9 = -11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.0626266489 - 63.9374259511. Let g = k + 64. Round g to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 687853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -2*i**2 - 12*i. Suppose -2*c = 2*c + 48. Let w(s) = -s. Let h(n) = c*w(n) + y(n). Let j(q) = -9*q**2. Determine h(j(x)).\nAnswer: -162*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -z + 40 - 38. Solve m + z - 5 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6779.8 + -6780. Which is the smallest value? (a) 80 (b) x (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 91\/30 and -89\/80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1228955.\nAnswer: 5, 7, 13, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 0.8255649 grams?\nAnswer: 0.0008255649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -61257231 and -11.36?\nAnswer: 61257219.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -205184, -410383, -615582, -820781, -1025980, -1231179?\n\"Answer: -205199*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.9 + -2. Let f = -0.4 + j. Let g = -512 + 517. Which is the closest to -2? (a) 4 (b) g (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10423 and 12521001?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -311*c - 11. Let k(s) = -133*s - 5. Let p(m) = -3*h(m) + 7*k(m). Suppose -2*x + 0*x + 3*l = -4, 5*x + 5*l = 35. Let n = x - 12. Calculate p(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -45 * 171986.\nAnswer: -7739370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (15\/(-9))\/(-5)*((-2856)\/1288)\/51 - 0?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 45 + -32. Let j = t + -12.6. Which is the smallest value? (a) j (b) -0.1 (c) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -9 * 43827.\nAnswer: -394443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cvxxxxzvmxxxxvvwzxxx. What is prob of picking 1 c and 3 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 71 - 49?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 15 + -16 - (5 + -4 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 413*d**4*j + 216*d**3*j + d*j + 674*d + 6*j - 2 wrt d.\nAnswer: 4956*d**2*j + 1296*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -661*f + 233*f = 2090 + 7326 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-41 + 28 - 38)*(3*i + 0*i - 2*i) + 0*i - i - 3*i to f*i + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z - 5*l + 27 = 0, -6*l - 6 + 36 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 119 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*c**2*j**2*z + 3*c**2*j**2 + 104*c**2*z + 3*c*j**2*z - j*z - z wrt j.\nAnswer: -4*c**2*z + 6*c**2 + 6*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 59*y**3 + y - 3. Let s(f) = -176*f**3 - 4*f + 8. Calculate 8*m(i) + 3*s(i).\nAnswer: -56*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-141)\/(44415\/6895) - 7*-3.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3915 is divided by 3657.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3.21 + 0.21. What is the nearest to -6\/7 in x, -5, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the first derivative of -j**4\/4 + j**3\/3 + 5*j**2\/2 - 3*j - 12. What is o(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -13 + 16. Let t(v) = 2*v**2 - 2*v**3 - 5*v + 16 + v**n - 11*v**2 - v. Let h be t(-8). Solve h = 4*s + 5 + 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + -5 + (-2 - 6 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.3, 96, -6, 0, -2\/61, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*m**4 + 68*m**4 - 37*m**4)*(66 + 36 + 42) + m**4 - 2*m**4 + 0*m**4 to the form d*m + b*m**2 + w*m**4 + i*m**3 + k and give w.\nAnswer: 5039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u + 3. Let f(y) = -607*y**2 - 16*y + 15. Let g be f(1). Let l = g + 602. Determine t(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = 3*v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 11544, 23106, 34692, 46314, 57984, 69714?\n\"Answer: 2*s**3 + 11548*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:10 AM and 8:26 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8352 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/24*4*(-30)\/(-110)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 709\/1749 - 50\/159. Sort t, 197, -3.\nAnswer: -3, t, 197","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -96 + 382. Let q = h + -286.2. What is the second smallest value in -0.5, q, -38?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*c**4 - 725*c**2 + 23*c - 3 wrt c.\nAnswer: 24*c**2 - 1450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 407969.7 kilograms in grams?\nAnswer: 407969700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 145653119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4007*t = 3853*t - 616 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o**3 + o**2 + o + 2. Let s be a(2). Solve -5*i - 15 = 5*z, s = 3*i + z - 2 + 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -328305*r - 1402. Is c(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6 + -2. Suppose 0 + u = o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 9 + -19. Let t(h) = h**3 + 3*h**2 - 68*h + 25. Let u be t(a). Solve -15\/8*o**4 - 9\/4*o**3 + 21\/8*o - 3\/8*o**u + 9\/8 + 3\/4*o**2 = 0 for o.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/29019 and 29\/31416?\nAnswer: 17875704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3420*p + 204 + 182 - 386 + 527*p + p**2.\nAnswer: p**2 - 2893*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-272)\/(-119) - (-2)\/(-7). Suppose t + w*s = -3*t + 62, -4*s = -5*t + 84. Suppose t*m = -1729 + 6401. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -98556, -98557, -98558, -98559, -98560?\nAnswer: -98561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 75667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 396670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 2*f**2 + 8. Suppose -3*s + 6 = 0, -2*t + 16 = -5*t + 2*s. Does 10 divide i(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2\/(-234)*-9 + (-30860)\/(-26) + 7 and 2786?\nAnswer: 8358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is d + -9d5?\nAnswer: -9c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10 + -8. Suppose k - s - 7 = -k, 0 = 2*k + 2*s + d. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 6 = 5, -5*o + 9740 = 5*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 960677.8 millennia to years.\nAnswer: 960677800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -17*b**2 - 18*b - 1. Let g(o) = -o. Determine g(n(y)).\nAnswer: 17*y**2 + 18*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 2 - -723939\nAnswer: 723941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*y + 48 = 10*y. Suppose -2*o = -y*o - 3*t + 778, -o - 5*t = -772. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the second derivative of j**6\/210 + j**5\/140 - j**4\/84 - j**3\/42 - 7*j. Factor x(v).\nAnswer: v*(v - 1)*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2 + -4 + -11*3. Suppose 40*c = 32*c - 1160. What is the least common multiple of c\/y + (-4)\/(2*14) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -7159662, -7159774, -7159886?\n\"Answer: -112*p - 7159550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3, -9, -5\/3, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -213, -217, -221?\n\"Answer: -4*y - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 14*f**2 + 8*f - 17. Let c(m) = 5*m**2 + 3*m - 6. Let p(b) = -11*c(b) + 4*r(b). Factor p(g).\nAnswer: (g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 3, o: 12, t: 2, k: 3}. Give prob of sequence kyoo.\nAnswer: 33\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5.569 and -172.\nAnswer: 957.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*p**2*x**3 - 47*p**2*x**2 - 26851*p**2 - p*x**3 + 1671*p*x + 47*p + 55*x**3 wrt p?\nAnswer: -6*x**3 - 94*x**2 - 53702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*l - 21*l**2 + 21*l**2 + 163*l**3 - 441*l**3 - 2*l.\nAnswer: -278*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:01 PM and 2:33 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((0 - -2) + -7)*-1. Suppose b - 4*r - 13 = 0, i*b - 65 = -0*r + 4*r. Suppose -b*z = -8*z - 35. Calculate the highest common factor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + (-7 - (4 - 12)) + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 669115578 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -384 = -11*d - 53*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*x + 24*x - 2*x - 648 = 0 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the first derivative of 1182*a**5\/5 - 2643*a + 2610. Find the first derivative of r(y) wrt y.\nAnswer: 4728*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.5 or 126?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*i**2 - 8*i**2 + 4*i**2 + 9*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 941.854 + -940. Let c = -9.99 + z. Let r = -8 - c. Round r to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the third derivative of -t**6\/24 + t**4\/24 - 3*t**2. What is the second derivative of b(k) wrt k?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the first derivative of 4*b**3\/15 + 4*b**2\/5 - 12*b\/5 - 96. Determine c so that s(c) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2350 + 3350. Factor -8*u**2 + 2*u**2 + 0*u**2 - 1001*u**3 + h*u**3 - 8*u.\nAnswer: -u*(u + 2)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -5*h + 35. Let l(a) = -a + 6. Let f(u) = -35*l(u) + 6*p(u). Let d(y) be the first derivative of 3*y**2 + 2. Calculate -2*d(i) + 3*f(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 107388159?\nAnswer: 3, 35796053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(35)\/sqrt(5)*4)**2*-5 + 5.\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*m = -5*k - 3*m, -4*k - m + 21 = 0. Suppose -k*c - 2*x + 14 = -34, -4*c - 5*x = -54. What is the remainder when 21 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 756 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*y = -90 + 33. Let i be 1 + 0 + 21\/y + 11. Solve -10 = -i*d - 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 68986138253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let -2*g**2 - 156*g + 656 = 0. Calculate g.\nAnswer: -82, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k**(-27)*k))\/k**25)\/((k*((k\/(k**(1\/19)*k))\/k)\/k*k*k)\/(k\/((k*k**(-1\/21)\/k*k*k)\/k))) assuming k is positive.\nAnswer: k**(439\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -574639, -1149264, -1723889, -2298514?\n\"Answer: -574625*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 7 + 3 = 0. Let d(f) = -478*f - 483*f - 474*f + 1902*f - 474*f. What is d(g)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y + 9. Let h be a(4). Suppose -3*m - 109 = -h*w, 3*m + m = w - 32. What is the least common multiple of w and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 4 + 1)*(0 + l + 0) - l + 4*l - 4*l + (-1 - 2*l + 1)*(0 + 0 - 2) as c + h*l and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2247 - 2205 = -6*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 1, p: 1, m: 2, v: 3, b: 2, o: 6}. Give prob of sequence oopm.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.08*30370882.\nAnswer: -2429670.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 348 divide 47150956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:27 AM and 12:14 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3 + -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -0.3, -5, -2\/5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 212b + -364?\nAnswer: 1dc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000011149 rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**3 - 13*y**2 + 22*y - 2. Let k be a(11). Let d be 25 - 28 - (k - 1). Solve -3*i = -4*i - 3*w - 2, d = 4*i - 5*w - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 11542 and 6.\nAnswer: 34626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) be the second derivative of 0*t**2 + 2\/15*t**6 + 0*t**5 + 7*t - t**4 - 4\/3*t**3 - 1. Factor s(h).\nAnswer: 4*h*(h - 2)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 2*c**2 + 19*c - 30. Let w be z(-11). Suppose w*p = -71 + 407. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 18*v - 894 + 660 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*h - 7*h - 2*h)*((2 + 2 - 2)*(0*h**2 - 2*h**2 + 0*h**2) - 5 + 5*h**2 - 11*h**2 + 7*h**2) to the form a + u*h**2 + t*h + m*h**3 and give m.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*g + 4 - 18. Suppose g*f - 6 = f. List the prime factors of (f + -2)\/(10\/(-340)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 27828 and 72?\nAnswer: 55656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-77)\/15 - (3 - (-94)\/(-30)). Let c(r) = r - 1. Let d(g) = -2*g + 7. Determine w*c(q) - d(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -5*r**2 + r + 4680 - 3*r + 7*r - 4685 - r**3. Let k(j) = -j**3 - 6*j**2 + 6*j - 6. Calculate 6*b(t) - 5*k(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*l - l + 4*l + (5 - 1 - 5)*(249*l - 6222 + 6222)*(2 + 6 + 15) to y*l + m and give y.\nAnswer: -5724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 g and 1 v when four letters picked without replacement from {g: 5, c: 2, v: 2, o: 1, s: 1, y: 4}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 155\/378744 and -73\/76336.\nAnswer: 9847344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j, 1 x, and 1 m when three letters picked without replacement from {j: 1, x: 1, u: 1, m: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 6*b**2. Let s(m) = 3*m**2. Let z(u) = -4*u**2. Suppose -2*y - 16 = -5*n, 3*n - 2*y - 16 + 4 = 0. Let j(q) = n*z(q) + 3*s(q). Determine j(p(g)).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 1386\/154 - (-24 - -8)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 161392.8 centuries in decades?\nAnswer: 1613928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 12, -138, -458, -954, -1632, -2498?\nAnswer: -3558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/32 - ((-2403)\/24 - 0). Let o(i) = -i**3 - 2*i**2 + 8*i + 5. Let k be o(-5). Calculate the greatest common divisor of t and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 5\/10 + (-8)\/32. Which is the third biggest value? (a) r (b) 3 (c) 3\/2 (d) -0.12 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -39 divided by 8?\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 1894.45kg to milligrams.\nAnswer: 1894450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 358680, 717292, 1075864, 1434396, 1792888, 2151340?\nAnswer: 2509752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -408, -597, -836, -1149, -1560, -2093, -2772?\n\"Answer: -4*m**3 - m**2 - 158*m - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l - 20 = 5*o, 0 = -4*l + 3*o - 899 + 925 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 17717, 17713, 17697, 17663, 17605, 17517, 17393, 17227?\n\"Answer: -p**3 + 3*p + 17715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 539835 = 297*b - 78*b. Calculate the greatest common divisor of b and 290.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 4 = -5*d + 5*i, -5*d - 2*i = -5. Let g = d + 1. Find the second derivative of -3*b**2 - g*b + 4*b + b**2 wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 167\/131881 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0001489865 to six decimal places.\nAnswer: 0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 679.0555 + -679. Round i to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 225*t + 5*y = 228*t + 13, 7*t + 15 = 4*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -263999\/26 - -10157. Find the common denominator of 13\/40 and o.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 3 - 3*k**2 + 3*k + 0*k**2 - 1. Suppose 31 = 2*l - 5*t, 238*t + 40 = 5*l + 233*t. Calculate o(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.2 * 2692.\nAnswer: -3230.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 3*n**2. Let j(h) be the second derivative of 1\/6*h**4 - 10*h + 0*h**3 + 0*h**2 + 0. Determine j(m(g)).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 1 d, and 1 b when three letters picked without replacement from cdddcccdddbbbd.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {p: 1, b: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = 24 - 76. Let m = -45 - s. Let g(k) = 8*k - 55. Let i be g(m). Is i bigger than 12\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 3*g**3 + 19*g**2 - 12*g + 18. Let x be p(-7). Solve x*u = 0, 0 = -4*i - 4*u + 6*u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 minus -16210838630?\nAnswer: 16210838633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19701.\nAnswer: 3, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1727487510.\nAnswer: 2, 3, 5, 7, 71, 115861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the third derivative of x**8\/168 - 3*x**7\/35 + x**6\/2 - 22*x**5\/15 + 2*x**4 - x**2 + 71. Suppose o(i) = 0. Calculate i.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = 2*f - 11, 5*y = 80*f - 77*f + 3. Solve -28*u - y*u = -155 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 80 and -0.57.\nAnswer: -45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-286)\/(-39) - 3)\/(9141\/(-2286) + 4). Calculate the greatest common factor of x and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1141131355 divided by -10355.\nAnswer: 110201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -147, 3, -21681 in decreasing order.\nAnswer: 3, -147, -21681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1220, -4800, -10740, -19040, -29700?\n\"Answer: -1180*f**2 - 40*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p**3 - 13*p**2 + 2. Let c be l(13). Let h be (c\/3)\/((-9)\/((-567)\/14)). Solve -1 = 2*m + h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -4, -150, 28, -2, 3 in decreasing order.\nAnswer: 28, 3, -1, -2, -4, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 704 - -142354?\nAnswer: 143260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 907553.4 months in centuries?\nAnswer: 756.2945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qqhqcxcqn. What is prob of picking 2 q, 1 n, and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 258027537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 145 + -26?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(-6) + 14\/15. Let z be (-12)\/(-18) + (-9)\/((-702)\/(-40)). Let y = -2.562 - -2.762. What is the second smallest value in y, z, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 743166 and 22914?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -257, -617, -973, -1319, -1649, -1957, -2237?\nAnswer: -2483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 5 - 10*d - 6 + 8*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2450) + (sqrt(2450) - (sqrt(2450) + sqrt(2450)*2))*4)\/(-6*(sqrt(90) + sqrt(90)*2)).\nAnswer: 49*sqrt(5)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -l**3 + l**2 + 535*l + 2297. What is b(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -2*z**2 + 19*z - 4. Determine s(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(49)\/((sqrt(77)*-2)\/sqrt(11)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 1 - (48 - 46).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -53084 (base 10) in base 9?\nAnswer: -80732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*n**5 - 340*n**4 - 1184*n**3 + 13616*n**2 + 42880*n - 6400 = 0. Calculate n.\nAnswer: -4, 1\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 + 20 + 9 + 7 + 13*y - 11.\nAnswer: 13*y + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(-2) - -15*(-2)\/28.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1683 + 1939. Calculate the least common multiple of x and 1.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5480 is divided by 1360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k**4 + 2*k**4 + k**4 + (2*k**2 - k**2 + 0*k**2)*(k**2 - 5*k**2 + 5*k**2))*(9 + 18 + 7).\nAnswer: 102*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*n + 4*r, 2*n - 18 = r + r. Let x = -4 + n. Suppose -2*c + 21 = -3*p, 0*c - 3*c - 2*p - 1 = x. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 432*s + 213*s = -1290 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -22, 4\/3, 886, 4, -0.3, -3?\nAnswer: 886","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -290 + 277 = -3*j - 2*z, 3*j - 29 = -4*z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 828431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8630854 is divided by 27486?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 502*k**2. Let r(y) = 93*y**2. Determine r(l(x)).\nAnswer: 23436372*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -3*a - 6. Let b(i) = i + 7. Suppose -3*o - 27 = -2*m, 7*o + 2*m = 3*o - 50. Let j be b(o). Give w(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -7*w**5\/8 + 61*w**4\/8 - 24*w**3 + 31*w**2 - 10*w - 6 = 0.\nAnswer: -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1 - -4 - (-154)\/11. Suppose 19*h - 96 = k*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*q + 2*g - 665 + 545, q = 3*g + 9. Calculate the remainder when 104 is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 19587*w**2 + 58771*w + 38. Determine g(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -9*m + 23. Give k(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 4*u - 7. Let x(l) be the third derivative of -l**4\/24 + l**3\/6 + 5*l**2. What is -r(v) - 5*x(v)?\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001141965779 rounded to 7 dps?\nAnswer: 0.001142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 885, 2, 248, 3\/4, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -1156 (base 7) to base 13.\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 41, 42, 43, 44, 45, 46?\n\"Answer: b + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 327595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 - (-3 + -19 + 11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjnnjnen. What is prob of sequence enn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 387 and 18729.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -103\/422324 and 75\/616.\nAnswer: 9291128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -126, -491, -1098, -1947, -3038?\n\"Answer: -121*a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 22, 3, 2\/11, -1\/2 in descending order.\nAnswer: 22, 3, 2\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4 and -2.90595.\nAnswer: -11.6238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-10)\/(-25)*-5*610\/(-4)?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m, 1 v, and 2 s when four letters picked without replacement from {b: 2, s: 3, v: 5, z: 3, m: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 2 = -2*k - 9, 10 = 2*v + 2*k. Suppose 2*z - 1070 = -3*z - v*f, 2*z - 427 = -f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the third derivative of -u**5\/6 - 637*u**4\/12 - 254*u**3\/3 + 1502*u**2. Factor t(k).\nAnswer: -2*(k + 127)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 505070595 to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + 4 - (1 - -8 - 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -14187, -14360, -14535, -14712?\n\"Answer: -g**2 - 170*g - 14016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -526 and 1?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 637291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1001011100 - -101?\nAnswer: 1001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 348458554 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2671 + -2593. Calculate the lowest common multiple of c and 276.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 2*p**2 + 18*p + 113. What is the hundreds digit of y(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2.1983 - 0.3853. Let u = i + 0.187. What is the nearest to -1 in u, -6\/7, -0.5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 113452 + -33?\nAnswer: 113415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the second derivative of -35*i**3\/6 - 3*i**2\/2 + 2*i. Let m be y(4). Let d = 203 + m. Calculate the highest common divisor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*r + 12*r = -23*r - 288 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -40*z + 80 = 5*v - 35*z, 41 = 2*v + 5*z for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -40\/81 in -2.6, -28, 2?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiiuiiui. What is prob of sequence iii?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l**3 + 18*l**2 - 20*l + 2. What is the lowest common multiple of 33 and b(-19)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 8 + -2 + 5 + -7. Solve 0*c - 3*l = x*c - 1, 2*l = -3*c + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (59*u + 42*u - 29*u)*(u + 0 + 0)*(0*u - 6*u + 2*u) in the form w*u**2 + j*u**3 + d*u + t and give j.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = -10 - -16. Let i = -12 + 16. Suppose -i*d + c*d = 130. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the first derivative of -7*x**3\/3 + 9*x**2\/2 - 6*x + 8. Let u be a(4). Let l = u + 94. Solve 2*o + h + 0*h + l = 0, 3*h = -6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -h**2 - 4*h + 2. Let q be g(-3). Suppose 3*v = q*v - 50. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 4*r + 22. Let f be y(-6). Find the common denominator of 0\/f + (-13)\/5 and 67\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -41 or 439?\nAnswer: 439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x - 1. Let r(k) be the first derivative of -k**4\/12 + k**3\/2 + 2*k**2 + 7. Let s(o) be the second derivative of r(o). Determine -8*j(i) - 3*s(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/16? (a) -4 (b) -14 (c) -2\/5 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:54 PM and 7:47 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.7 + -7.7. Let v = u - -3. Let w be (-34)\/4 - (5 - -2 - 13)\/4. Which is the second biggest value? (a) -1 (b) w (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 18? (a) 2\/17 (b) 0.11 (c) 3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1*(-3 + -1 + 2). Suppose p*j + 0 = 4. Suppose j*g - 42 = 4*l, l + 15 = -2*l. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 29*j**3 + 36399073*j**4 - 273*j**3 + 472*j**2 - 36399069*j**4.\nAnswer: 4*j**2*(j - 59)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 220111221 (base 3) to base 10\nAnswer: 17872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/8)\/(((-891)\/72)\/11).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m + 97 + 103. Suppose h + 4*h = m. Suppose -k - z + h = -3*z, -5*k = -3*z - 228. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2\/443 - -1782\/2215. Let s = -3 + 2. Sort i, 4, s in descending order.\nAnswer: 4, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 117328092?\nAnswer: 2, 3, 7, 1163, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2843 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 63797 is divided by 21227?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(35) + (sqrt(140) - sqrt(140)*1) + sqrt(140) + sqrt(35))\/(sqrt(1008)*2))**2 - ((-1 + sqrt(5) + 2 - -2*sqrt(5)*-3) + -3)**2.\nAnswer: -4639\/36 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12 - 0 - 1) + (408 - 422).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gttggtgggnggtgggtggn. What is prob of sequence tn?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7.855 - 7.8. Let t = -4.055 + c. Put -5, t, 0, 4 in decreasing order.\nAnswer: 4, 0, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1 - -2. Suppose 0 = -f*t + l + l + 21, 4*l - 21 = -t. Let m = t + -3. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1473571438 to the nearest one hundred thousand.\nAnswer: -1473600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pdyu when four letters picked without replacement from ypuekdek?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:47 PM and 7:52 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 95130397*l**3*p**3 - 534*l**3 + 6102*l*p wrt p?\nAnswer: 570782382*l**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the second derivative of -n**6\/10 + n**3\/3 - 6*n. Find the second derivative of q(v) wrt v.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3495565 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = r**3 - 8*r**2 + 8*r + 6. Determine b(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 29 - 26. Let n be (f\/4)\/(582\/(-96) + 6). Let v be ((-12)\/(-32)*4)\/((-9)\/n). Solve -1 + v = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -17374 + 17376. Put -1\/5666, u, -5 in descending order.\nAnswer: u, -1\/5666, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 155*y - 158*y + 189. What is the highest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from brrreesbsbhebebebqq. Give prob of sequence sr.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 62716747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 7*t + 7. Let f(z) = -8*z - 8. Let w(c) = 3*d(c) + 2*f(c). What is the derivative of w(u) wrt u?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (27\/(-36))\/(2 + (-28)\/16). Which is the closest to w? (a) -5 (b) 1\/4 (c) 4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3781656 and 1260552.\nAnswer: 3781656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 2*a**2 - 2*a - 1. Let m be h(2). Let i = m + -4. What is the units digit of (1 + (-5 - i))*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2.3 + -2.8. Let u = 414.01 + -414. Which is the biggest value? (a) 0.1 (b) u (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 5*g - 15*g = -5*q + 130, 5*q - 3*g - 4 = -2*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -5146998 divided by -6?\nAnswer: 857833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.1758 + 3.9562. Let w = -0.668 - d. Which is greater: w or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*h - 5*h - 251*h**3 - 5 + 4.\nAnswer: -251*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 112.08624331 + 33.91376479. Let h = 349 + -495. Let j = h + l. What is j rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:14 PM and 10:09 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 443 + 2*m - 443.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = 848 - 4238\/5. Let z = -3.68 + 2.8. Let l = z - -1. Which is greater: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -435 (c) 1\/2 (d) -750 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4, 184, 476, 872?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/8 + 2710\/80)\/((-131)\/(917\/(-2)))?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {v: 1, f: 1, i: 1, e: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2949 is divided by 460.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from gvgg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 43*t**2 - t + 256. Let m(u) = u + 5. What is m(z(p))?\nAnswer: 43*p**2 - p + 261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -383, -19, -5 in descending order.\nAnswer: 5, -5, -19, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 50 divided by -50?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(6)\/(sqrt(50)*-3 + sqrt(2)))**2.\nAnswer: 3\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 38 (c) -2\/7 (d) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 175\/210*(-6)\/(-10)*-20\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -1\/6, 2\/7, -7, -4\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -328 (b) 4\/5 (c) 2 (d) -0.055 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -31*c**3 - 4*c - 32*c**3 - c**2 - 1 + c + 108*c**3 - 35*c**3. Determine v(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q = -r - 6, 3 = -0*q - 2*q - 5*r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/336 and -55\/1156648?\nAnswer: 48579216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1363 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -564737 + -4?\nAnswer: -564743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = 890 - 511. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*i**3 + 101 - 101 + 2*i**3 + 5*i**2 + 53*i + i**4 to the form h*i**2 + p*i**3 + y*i + w + s*i**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 25 = 7*d, -3*k - 4*d - 8 = 0. Suppose k*p = 6 + 70. What is the remainder when p is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -55*k + 24 - 24 to the form s*k + v and give s.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-8)\/(48\/(-10)) - 6\/(-18). Suppose -z - l*c = 2, -z + c + 25 - 30 = 0. Let g = -1 + -4. Sort g, -15, z in decreasing order.\nAnswer: z, g, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10 and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 27\/26 + 6\/13. Let s = -22 - -43\/2. Let d = 5067 + -5058. Which is the closest to s? (a) -4 (b) p (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -m**3 + 25*m**2 + 8*m + 913. Give x(27).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 15 = -5*i. Let q(p) = -p - 2. Let o be q(0). Let f be 3 + -1 + o + i. Solve -5*v - 1 = -3*d + 7, -f*v + 2*d - 12 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -475347974 and -336.\nAnswer: -475348310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*q - 7 + 5, 2*q = 5*b + 152. Let y = -1 + 31. Let d = b + y. Solve 5*a = 0, d*c - c + 4*a = -5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 0.1 and -1298\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 137\/66 and 145\/36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1062490569 + 1062491349.000259. Let o = -780 + x. Round o to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4904 + -4861. Calculate the remainder when 513 is divided by c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 171 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the first derivative of 0*b + 1\/2*b**2 + 1 - b**3. Find the second derivative of f(g) wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 375 and 9250?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 42 + -38. Let u = 0.35 - -0.15. Which is the third biggest value? (a) r (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12364121168 plus 0.14?\nAnswer: 12364121168.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(99)*-1 - (sqrt(99) + 0)*4)**2 + -5.\nAnswer: -150*sqrt(11) + 2495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -2*a**2 + 459*a + 21160. Give t(269).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*u - 3*u + 6*u + (-5 + 3 + 1)*(2*u + 3*u - 4*u) - 3 + 2*u + 3 + 0*u + 0*u + u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*-1*-1*sqrt(88)\/sqrt(4))\/(-1*6*((sqrt(98) - (sqrt(98) - (sqrt(98) - (sqrt(98)*2 - sqrt(98))))) + sqrt(98))).\nAnswer: -sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -9, -89, -255, -549, -1013?\n\"Answer: -7*h**3 - h**2 - 28*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*c + 5*f - 5, 49*f - 15*f - 40 = 13*f + 11*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -194, -197, -190, -167, -122?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -85 + 55 = -5*j. Suppose -16 = 2*p - 4. Let o = 10 + p. What is the smallest common multiple of j and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*s**4 + 12*s**2 - 14*s**2 - 4*s + 6*s**3 + 2*s to d*s**3 + o*s**4 + r + g*s + i*s**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 18 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -62476, -124979, -187484, -249991, -312500?\nAnswer: -375011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -273*v - 1360. Let m be t(-5). Let a(i) be the first derivative of 15*i - 5\/2*i**4 + 1\/4*i**m + 115\/12*i**3 - 35\/2*i**2 - 17. Solve a(h) = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -67 + 69. What is the remainder when 30 + (10\/35)\/(s\/14) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 7 (b) 0.2 (c) -2299 (d) 2\/7 (e) 3 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 64199 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*o + 3*u, -203*u + 199*u = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(162)*2)**2 + (sqrt(162) - sqrt(162)*1)*-5 + 2 + (-1 + sqrt(162) + sqrt(162))*4 + -2*(0 + sqrt(162))**2 + -3.\nAnswer: 72*sqrt(2) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/(-3))\/((-2)\/1*36\/360).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*h + 9*h - 21 = 0. Solve 14 = 5*v - h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuuuuvuuvuuv. What is prob of picking 2 u and 2 v?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1161, -889, -6421, -17175, -34891, -61309, -98169, -147211?\n\"Answer: -290*y**3 - y**2 - 17*y + 1469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*g - 5*g - 21. Let f(a) be the first derivative of a**4\/4 - 2*a**3\/3 + a**2\/2 + a - 20. Let c be f(1). Sort g, c, -3.\nAnswer: -3, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -14 + 14.8. Let g = a - 1. Is 57 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 31*s**2 - 197238*s + 197238*s.\nAnswer: 31*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*y - 11*q + 2, 1079*y = 1077*y - 5*q + 6 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vhexp. Give prob of sequence vh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:26 AM and 11:00 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-4)\/(-14) + 486\/14. Let j be 1\/(((-1)\/(-12))\/(30\/18)). Suppose -12*q + j = -8*q. Calculate the highest common factor of q and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.0052324 millilitres?\nAnswer: 0.0000052324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k. Let s(m) = -1. Let l(c) be the first derivative of c**2\/2 - 6*c - 3. Let o(j) = l(j) - 6*s(j). Give q(o(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*a**3\/5 + 4*a**2\/5.\nAnswer: -2*a**2*(a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 0.04+-39812059658\nAnswer: -39812059657.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1320222 (base 4) in base 8?\nAnswer: -17052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -8354, -6378, -4402, -2426, -450?\n\"Answer: 1976*h - 10330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -26 in -2\/5, -18, -0.11, 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6 + 8. Let o = l + -2. Solve 0 = -n - o - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -23\/60 - 1\/60. Which is bigger: b or -43?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 27466\/5 - 7800549\/1420. What is the common denominator of -33\/8 and q?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 2*p. Let k(x) be the first derivative of -x**5\/40 - x**4\/6 + 11*x**3 - 29. Let v(w) be the third derivative of k(w). Calculate v(l(d)).\nAnswer: -6*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*w**2 - 4*w**2 + 46*w**2 + 7*w + 26*w**2 - 5*w.\nAnswer: 59*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (-5*s + 5*s + 2*s)*(6*s - 11*s - 12*s) - 4*s**2 + 3*s**2 - s**2 - 1 + 1 - 2*s**2 in the form v*s + p + d*s**2 and give d.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z + 4. Let s(b) = -2*b + 8. Let p be s(7). 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 q(m) = 178*m**2 + m - 23. Determine q(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -2380000 rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4025752608?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -93145577 - 104.696\nAnswer: -93145681.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*v**3 + 4*v**3 + 2*v**3)*(6 + 3 - 3)*(-3*v + 14*v + 2*v).\nAnswer: 78*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*q - 3*z - 75, -z = 2*q + 2*q + 88. Let u = q - -41. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u + 4*u - 7. Let f be -8 + u + 0 + 7. Suppose -b = 3*v - f, -b - 1 = v - 3. Solve d + 4 = -b*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -26*s**2 + 4*s. Suppose 90 = -9*o + 27. Let r(l) = 51*l**2 - 7*l. Calculate o*y(j) - 4*r(j).\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + 4 + (-1)\/(-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.01 + 0.01. Let w = 0.05559 + 0.07441. Put 1, w, l in decreasing order.\nAnswer: 1, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j**3 - 3*j**2 + 2*j + 10. Let f(c) = -c**2 + c. Let s(v) = -f(v) - q(v). Let p be s(-4). Let x(z) = -3*z + 2. What is x(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x**2 + 4*x - 2. Let q = 10 + -5. Is n(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.083 - 0.043. Let d = q + -0.03959. What is d rounded to five decimal places?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 210230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ngeguzv. Give prob of sequence gvz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 1\/3 (c) -1 (d) -84 (e) 0.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-10))\/((-534)\/534)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 3*i - 472 - 378 + 15*i - 117 - 24*i in the form f*i + z and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -2*v**3 - 12*v**2 + 9*v + 15. Let x(h) = h**3 + h. Let f(u) = -l(u) - x(u). Is f(-11) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 1132 and 1129 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/138647 or 0?\nAnswer: 2\/138647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-24)\/2 - (-12)\/(-16)*4. Let f = -26265\/8 + 3278. What is the common denominator of c\/384*30 + 1 + -1 and f?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 164060903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 - (-18)\/(-12) - (-18)\/4. Suppose s*k = -4*l + 114, -2*l + 3*l = -2*k + 48. Solve 4*u = 10 - k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (46 - (-195)\/52) + -49.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in twenty-three thirds of a century?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 490*r - 6*r**2 - 49*r + 0*r**2 + 778*r + 5*r**2 + 1.\nAnswer: -r**2 + 1219*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/6 + 28\/42. Solve v + w*v = -3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -84152 (base 9) to base 11.\nAnswer: -387a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 401704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 428 (base 12) to base 9\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.7 - 0.7. Let y = 7.613 + -8.613. Which is the fourth smallest value? (a) x (b) 2\/3 (c) y (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1050 or 774?\nAnswer: 774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 131\/294 + -30\/49. Let r = -0.4 + 3.4. What is the nearest to -0.03 in -0.1, r, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 56, 114, 160, 188, 192, 166?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) be the first derivative of -3*v**6\/2 - 3*v**2\/2 + 5. What is the second derivative of b(r) wrt r?\nAnswer: -180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g**3\/8 - 718785*g**2\/8 + 359391*g\/4 = 0 for g.\nAnswer: 0, 1, 239594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - (110\/(-15) - -4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4 (b) 20 (c) 6\/5 (d) -115\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h. Let y(s) = -s - 1. Let c = -2 - -1. Let l(o) = 4*o + 1. Let q(v) = c*l(v) - y(v). Give q(f(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*g**2 + 83 - 8*g**2 - 333 + 0*g**2.\nAnswer: -15*g**2 - 250","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 2*t**2 - 20*t. Let s(p) = -3*p**2 + 43*p + 8. Let l(d) = -d**2 + 15*d + 3. Let a(w) = -8*l(w) + 3*s(w). Let r(b) = -9*a(b) - 4*q(b). Calculate r(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*(-3)\/9*66*1*(-335)\/(-4690).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 80, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bhggbgbb. Give prob of picking 2 g and 2 b.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -155\/1104 and -97\/138.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 16, -0.08, 10.\nAnswer: -0.08, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 6361*n**2 - 21*n + 55. Is h(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 7158.3062 and 3.785?\nAnswer: 7154.5212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (99 + -67 - 26) + 0 + -29?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1687*n**3*o**2 + 20277*n**3 + 2*n**2*o + 3*n**2 + 128*n + 37*o**2 + 43*o wrt n?\nAnswer: 10122*o**2 + 121662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -22788.9999987237 - -22789. What is o rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from {p: 6, j: 1, g: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nn when two letters picked without replacement from nmmmmrrnmnmnrm?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be 44\/(-32) + (-4 - -6). Let o be (-4)\/(-14) - (-278)\/(-336). Let q = z + o. Is 0 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-39)*q)\/q**(-26) assuming q is positive.\nAnswer: q**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the first derivative of 5*m**4\/12 + 5*m**3\/6 - 7*m - 5. Let q(v) be the first derivative of i(v). Suppose q(o) = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 480407 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6284, 50592, 170792, 404810, 790572, 1366004?\nAnswer: 2169032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 655990696 to the power of 1\/4, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4603*u - 4600*u = -5*j + 666, -5*u + 10 = 0. What is the remainder when j is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a minute in seconds?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 130 minutes before 3:13 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 2345 (base 12) to base 10\nAnswer: 3941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.37 + 0.67. Let t = -2104.4 + 2104. What is the fourth smallest value in b, -0.5, -1\/13, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -432\/73 - -647105\/108843. Calculate the common denominator of n and 33\/8.\nAnswer: 11928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 105102, -1\/3, 4, 1\/4, 2\/5, -12, -1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((4*(sqrt(171) - (sqrt(171) - (sqrt(171) + sqrt(171)*1) - sqrt(171))))\/sqrt(9) + -1 + (-1*sqrt(171))\/sqrt(9))*-2.\nAnswer: -6 + 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 79*h + 220. Is c(19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from krkrrk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 4681883.17 rounded to the nearest 10000?\nAnswer: 4680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*((5 + -3*sqrt(125) - -4*(sqrt(125) + 2)) + 3*(sqrt(125) - (-1 + sqrt(125) + -2)))*6)**2.\nAnswer: 198000*sqrt(5) + 548100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8914601 is divided by 885?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-26)\/26*1\/(-2)*-10*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2103 (base 6) to base 15\nAnswer: -216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1.979 + 0.269. Let i = 33.94 - 32.321. Let x = c + i. Round x to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0 - 9*(-18 - -4). Suppose -g + 42 = -2*q, -2*g + 5*q = g - b. What is the remainder when g is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 119286973 + 3*w**2 - 119286973.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1 + 10)\/((-42)\/56). List the prime factors of (1 + (-7)\/2)*a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -6474475, -12948934, -19423393, -25897852?\n\"Answer: -6474459*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(1539) + 2 + -3)*-2*5 + 1 + -2*(-1 + sqrt(1539) + 0).\nAnswer: -108*sqrt(19) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from juuuuuj. What is prob of picking 2 u and 2 j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 4*h = -181 - 6, -5*h + 582 = 3*g. Let p = g - 199. Solve -3*m - 3*k = p, -m - 8 = -k - 2*k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 643 - -0.0145124?\nAnswer: 643.0145124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4\/11 + 3\/22. Let w(u) = -u**3 + 4*u**2 - 3*u + 2. Let n be w(3). What is the nearest to -2\/5 in f, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*g + 30051 = -16*g + 33*g. What is the thousands digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15c4cb (base 15) in base 14?\nAnswer: 1d6203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 327554142283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -3803, -8105, -12405, -16703, -20999, -25293, -29585?\n\"Answer: s**2 - 4305*s + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 825\/4864 + -3\/256. Sort b, 1, -0.5, -0.3 in descending order.\nAnswer: 1, b, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 116269.\nAnswer: 116269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - 920\/(-34) - (2305 - 2280)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 69\/161 - 72\/(-28). Solve l*h - 13 = -4*p - 6, 3*p = -3*h + 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 5*l**2 + 19*l + 5. Let x be g(-3). Let u(z) = 4*z**2 + 2*z + 5. Let i(b) = -13*b**2 - 7*b - 16. Give x*u(j) - 2*i(j).\nAnswer: -2*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 4 = -0*v. Find the third derivative of 54*q**3 - 31*q**3 - v*q**2 - 29*q**3 wrt q.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1735 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the second derivative of m**5\/6 + m**4\/24 + 6*m**2 + 7*m. Let j(v) be the first derivative of q(v). Find the second derivative of j(u) wrt u.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9500149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13249.\nAnswer: 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-3)\/(-10))\/((-6)\/(-4)). Determine p so that 2\/5*p**2 + 6\/5*p**3 - 3\/5*p - 1\/5 - q*p**4 - 3\/5*p**5 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i**2 - 27*i - 210 = 0 for i.\nAnswer: -5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 3, -1, 1054 in decreasing order.\nAnswer: 1054, 3, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-1\/4)\/d**1)\/(d*d\/(d**(2\/9)\/d*d)*d*d**0) assuming d is positive.\nAnswer: d**(-145\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(-2 + -18) - (943 - 936)\/(10\/14).\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -49a (base 14) to base 13\nAnswer: -55a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.04 + 3.96. Let f = -32388 - -32387.8. What is the smallest value in 1\/12, 0.1, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:23 AM and 9:13 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/(-9) + (-34672)\/73152. Let z = y + 26835\/5588. Calculate the common denominator of z and (-1)\/((36\/(-137))\/3).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -6.538282 to 2 dps.\nAnswer: -6.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*h**2 + 2*h**4 - h**3 + 4 - h - 1 - 3 to v*h + a*h**3 + u*h**4 + z*h**2 + m and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 3*r**2 + 4*r + 4. Let s(o) = 8*o**2 + 11*o + 11. Let d(t) = 11*i(t) - 4*s(t). Let a(u) = -16*u. Determine a(d(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 105\/2 + -68. Let v = 428683\/4 + -107148. Calculate the common denominator of v and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 127773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 8, v: 2, a: 1, b: 1, q: 2}. What is prob of picking 1 d and 1 a?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 2*r**3 - 3*r**2 + 3*r - 4. Let j be o(3). Let l = -31 + j. Does 10 divide ((-21)\/(-6))\/(l\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -2, 1\/7, 68866, 4, 1.2, 0.1, -3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9300 + 9300 + 106*o)*(-1 + 4 - 5).\nAnswer: -212*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -2964126 (base 10) to base 12.\nAnswer: -bab426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 62372 is divided by 20787.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -62.3683 rounded to 1 dp?\nAnswer: -62.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -763*r**5 + 683*r wrt r.\nAnswer: -15260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 26 - 47 - -26 - (-1 + -1 - 9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*j = 15 - 4. Is -3\/8 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -5 + -2351?\nAnswer: -2356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4787*v + 4641*v + 584 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -2 + (-44 - -37 - (-14 - 0)) + -14\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 29934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 3*h - 13 = 0, 5*c = 2*c + 3*h - 9. Suppose -45 = -4*q - 3*x, 0 = 2*q - 0*x + c*x - 22. Solve -3*k + 0*m + 3*m = -q, 4*k - 2*m = 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 8 = -3*j. Suppose t = j*w - 5, -2*t + 5 = w - 6. Suppose -m + o = 6*o - 32, o = t*m - 23. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = r**3 - 5*r**2 + 2*r + 12. Let s be p(6). Suppose 3*w + s = -w. Let g = 10 - w. What is the remainder when g is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -64*p**3 - 31*p**2 - 7*p + 7476. Let b(l) = 63*l**3 + 33*l**2 + 6*l - 7475. Let z(x) = -7*b(x) - 6*s(x). Differentiate z(j) with respect to j.\nAnswer: -171*j**2 - 90*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.60752509 from 0.4.\nAnswer: -0.20752509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 234985 is divided by 106?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*v**2 + v - v)*(-3*v + v + v) - 2*v + 30 - 44 + 90 + 2*v**3 to x*v + n + w*v**2 + z*v**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19849?\nAnswer: 23, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2753935335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(187)*-4 + (sqrt(187) - (sqrt(187) + -3*sqrt(187) - sqrt(187)))*-1)\/((sqrt(385)\/(-1*sqrt(7)))\/(sqrt(125)*-2)).\nAnswer: 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 245382961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (r + 2 - 2 + (1 + 1 - 4)*(-2*r + 3*r + r) + 2*r + r + r)*(-7*r + 2*r + 3*r)*(-2 + r + 2) to the form z*r + u*r**2 + g + l*r**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*1*(-6*3\/(-648))\/(69\/2277).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (2*u + 2*u + u)*(-1 - 3 - 5) as c*u + p and give c.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -7\/16, -72293, 0.01?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*z + 17 + 16 = 0. Solve -b = -6 + z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001993915 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -14.7 - -14.7. Which is the nearest to -1? (a) 4 (b) k (c) 2 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -58 + 61. What is the lowest common multiple of 3 and 1 + (-2)\/(-1) + v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 691032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 16762\/(-3944) - (-1443)\/348\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ukpcgpg. Give prob of sequence gp.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.85546 + -0.05546. What is the third smallest value in s, 3, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 282987, 566049, 849185, 1132395, 1415679, 1699037, 1982469?\n\"Answer: 37*c**2 + 282951*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 256 and 12789024?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*6*sqrt(114)*-2)\/(sqrt(72)\/((sqrt(768) - sqrt(768)*2) + sqrt(768) + sqrt(768))).\nAnswer: 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-16)\/10)\/((-1)\/(-20)). Let r = 61 + m. Let b = r - 9. What is the remainder when 58 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = h**3 - 12*h**2 + 10*h + 14. Let q be ((-11)\/(-4))\/((-2)\/(-8)). Calculate the remainder when 11 is divided by y(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -15*g**2 + 15*g - 15. Let m(z) = -6 - 10 + 3*z**2 + 19 - 3*z. Let h(d) = 24*m(d) + 5*t(d). Give h(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:37 PM and 10:07 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54781 is divided by 27373?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35 = 5*q + 3*z + 2*z, 5*q + 2*z = 29. Suppose 3*d - 30 = -0*d. Let r = q + d. Calculate the remainder when 43 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*j - 2*j + 4*j)*(3 - 7 + 5)*(-3*j - 5*j - 3*j - 5*j - j + 3*j + (3 - 4 + 2)*(0 - j + 0)).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.0673 and -0.12.\nAnswer: -0.008076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -2*y - 9. Let m be f(0). Let s be (-48)\/m + (-2)\/6. Sort -2, 2, s.\nAnswer: -2, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**4 + 2515*h**3 - 2773*h**2 - 7*h. Let d(g) = -850*g**3 + 924*g**2 + 2*g. Let w(b) = -14*d(b) - 4*o(b). Factor w(i).\nAnswer: 4*i**2*(i - 1)*(i + 461)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 127*l - 24507. Give g(197).\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the second derivative of r**4\/12 + 5*r**3\/6 - 3*r**2\/2 + 8*r. Calculate m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5 - 5.4. Let z = -360.2 + 360. Which is the closest to z? (a) 2\/15 (b) l (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 237397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -168 divided by 2.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 385 (base 11) in base 3?\nAnswer: 121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1257 + -1301. What is the second biggest value in j, -3, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8288*j**3 - 16646*j**3 + 8300*j**3.\nAnswer: -58*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 16, -3521, 5 in decreasing order.\nAnswer: 16, 6, 5, -3521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the second derivative of l**3\/3 + 8*l**2 - l. Suppose 28 = -11*q - 38. Calculate the remainder when 5 is divided by s(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -3334270, -13337053, -30008346, -53348149?\n\"Answer: -3334255*p**2 - 18*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 13) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-13)*w**(-2\/7)\/w assuming w is positive.\nAnswer: w**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 42017 is divided by 58.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(4*(-1*-1*sqrt(567) - sqrt(567)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 817*l. Let b(t) = 4074*t. Give -2*b(y) + 11*m(y).\nAnswer: 839*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzuzqeclcee.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/115264 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -12712469 - -4?\nAnswer: -12712465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -162159*l - 425 = -162134*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 12954174? (a) -1\/5 (b) 0.5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -8 + 14 - 3*z**3 + 2*z**3 + 5*z**2 - 6*z. What is v(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 11a8 (base 12) to base 8.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -5*s**2 + 3*s - 3. Let k(l) = 6*l**2 - 4*l + 3. Calculate -4*a(u) - 3*k(u).\nAnswer: 2*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*d**4*g**2 + 9*d**3*g**2 + 5*d**3*g - 28*d**2*g**2 + 2 wrt d?\nAnswer: -48*d*g**2 + 54*g**2 + 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101000 + -1100010?\nAnswer: -10001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = x + 4. Let a(w) = -1. Give a(b) - c(b).\nAnswer: -b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -51\/466298, 0, -4.\nAnswer: -4, -51\/466298, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + g)*(5 + 0 - 3 + (-3 + 7 + 1)*(-5 + 3 + 1)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5, 0.2, 111860, 0, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 130*c**2 - 198. Let v(n) = 393*n**2 - 596. Suppose -270 = 24*y + 21*y. Let u(m) = y*v(m) + 17*o(m). Differentiate u(z) wrt z.\nAnswer: -296*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*f**4 + 3*f**3 - 3*f**3 - f**3)*(74 - 162 - 161).\nAnswer: -498*f**4 + 249*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*i - 3*a - 14, 4*a + 24 = 4*i - 0*a. Suppose u - 5*q - 6 = 1, 6 = i*u + 2*q. Find the first derivative of u + 5*l - 5*l + l**2 wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9544 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 18.97 + -19.5. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 338*v + 3*v**2 - 3*v**2 + 19*v - 2*v**2.\nAnswer: -2*v**2 + 357*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*a**3 + 323212*a**2 + 6528639964*a - 19588828908.\nAnswer: 4*(a - 3)*(a + 40403)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 13 - (-153 - -172)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (536*w - 1034*w + 518*w - 4)*(-2 + 4 - 1).\nAnswer: 20*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 106664 or 106663?\nAnswer: 106663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 641*u - 8165. Give y(12).\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 43.9 + -35.9. What is the second smallest value in -0.027, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the third derivative of x**6\/120 - x**5\/6 - 4*x**3\/3 - 872*x**2. Calculate a(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 257256273*s - 257256273*s - 16*s**3.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes before 10:04 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -136*r**2 + 417*r**2 - 229*r**2 - 52*r**2 + 129*r**3.\nAnswer: 129*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g + 2. Let n be r(0). Let a be n\/1*10\/(-4). Let k = a + 13. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*r**2 + 2*r**2 + 2*r**2 + (8*r**2 - 7*r**2 - 7*r**2)*(3 + 4 + 2) - r**2 + 3*r**2 + 0*r**2 in the form k + f*r + y*r**2 and give y.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3 - -3. Let f be (3 + -1)\/((-1)\/(-2)). Suppose -f*c - c + 265 = j. Does 22 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 12, r: 1}?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 270*t**2 + 4*t + 2. Let u(a) = -a**2 - 2*a - 1. Determine -p(o) - 2*u(o).\nAnswer: -268*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 60 + -55?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s - 11 = 4*g + 1, -s = -5*g - 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -11805 divided by -2?\nAnswer: 11805\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = -260 - -260.16. What is the fourth smallest value in -1, c, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 times -26231.09?\nAnswer: 10492.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k**2 - k**2 + 4*k**2)*(9 - 8*k**2 - 9) - 2*k**4 + k**4 + 3*k**4.\nAnswer: -14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 31*o + 176. What is f(-32)?\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = -g - 3*k, 3*g - 3*k = 15. Suppose 48300 = g*b - 0*b. Round b to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*c**(-3)*c*c)\/c**(2\/3))**(-1\/30))**(2\/43) assuming c is positive.\nAnswer: c**(2\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by -502.\nAnswer: -3\/502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4911601ml to litres.\nAnswer: 0.0004911601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qxnunqnnnuznxnzznnx. Give prob of sequence zzx.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1417\/1124 + -3\/281. Let r = 0.24 + 0.06. Suppose 3*n = a + n - 11, 0 = 5*a + n. What is the closest to 0.2 in q, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/((-5)\/(-25)*(4 + -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*x - 4*h = -2*x, -5*h - 41 = -4*x. Differentiate -3*z**4 - 2*z**4 + 7*z**x - 3 + 6 wrt z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43666 - 2086 = 21*q. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 936? (a) -0.2 (b) 7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 107 + -137.6. Let q = y - -31. Let n be 2\/(-4) + (11\/10)\/1. What is the nearest to 0 in n, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 57426 is divided by 8122.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r be 39719842\/(-2788) + 72\/612. Suppose 5*t - 108193 = -36963. Let s = t + r. Calculate the common denominator of s and -59\/8.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve h = w + 7, -4*h = -w - 0 - 19 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 2*g**2 + 2*g - 2*g. Let v(k) = -51*k**2 + 24*k**2 + 20*k**2. What is p(v(b))?\nAnswer: 98*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*b = 10*b + 284 - 18 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.117 - -0.111. Let i = d - -0.006093. Round i to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 109119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/25 of a milligram in micrograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000008186863 to seven decimal places.\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 10831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/10 of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -o**3 + 731474*o**2 - 133759895724*o - 1337672105640 = 0. What is o?\nAnswer: -10, 365742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 51709133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u. Let n(q) = -6*q + 2. Let f(x) = n(x) - 8*r(x). Let k(c) = -c**2 - 11*c - 11. Let z(m) = 11*f(m) + 2*k(m). Factor z(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3, 1, -0.1, 89, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1572 - -1574. Let p(d) = 4*d**2 - 5*d - 4. Calculate p(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from foototoot. Give prob of picking 1 o and 1 f.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3\/1*((-200)\/12 + 2). Let c = a - -9. Let o = 116 + c. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 21 - -4342?\nAnswer: 4363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -88 + 91. Suppose 2*d - 3 = -3*b, -i*d + 11 = -d - 5*b. Solve -22 = -5*t + d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**2\/9 - 1448*k\/9 + 1450\/9.\nAnswer: -2*(k - 1)*(k + 725)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*x + 4*x = -12. Suppose -3*k = 2*k + 3*d + 30, x*d + 29 = -3*k. Suppose j - 3*c + 10 = 0, -2*c + 4*c - 1 = -5*j. Sort k, 1, j in decreasing order.\nAnswer: 1, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 726.2131nm in micrometers?\nAnswer: 0.7262131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 8032739303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 294353069, 588706143, 883059227, 1177412327, 1471765449, 1766118599, 2060471783, 2354825007?\n\"Answer: p**3 - p**2 + 294353070*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be (9\/2)\/((-1)\/2). Let j = -7271 - -7270. What is the closest to j in g, -5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 153 - 185. Let o = b - -120. Suppose 3*p + 97 = -5*y + 327, 2*p - o = -2*y. Which is smaller: 48 or y?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1557 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 511 is divided by 270?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 54528\/42 - (-4)\/(-14).\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 92 a factor of 189795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2.699 - 3.699. Which is the biggest value? (a) 5.21 (b) -0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 32? (a) -0.2 (b) 4 (c) 54\/5 (d) -23 (e) 9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {g: 3, h: 1, v: 2, f: 4, d: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 1408*r + 4220. Determine a(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d + 7 = -5*u + d, -10*d - 10*d = 4*u - 15*d + 56 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*z + 27 - 27)*(45*z - 13*z + 30*z) - z**2 + 0*z**2 + 2*z**2.\nAnswer: -309*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 213 + -109. Let m = -48 + o. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide (3 + (224\/(-6))\/16)\/((-2)\/(-9654))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 256246.4ug in milligrams?\nAnswer: 256.2464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3898*((-9)\/(-21))\/((-120)\/(-140)) is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, 252\/13, -28.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -175 = -5*o + 135. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 447356 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 89865 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:23 PM and 8:50 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/z**1*z\/(z\/(z*z*z**(-10\/3)*z)))**(-6) assuming z is positive.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that 25*b**3\/2 - 190*b**2 + 429*b\/2 - 63 = 0.\nAnswer: 3\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 4*n + 8, -n - 2 = -3*v - 0. Suppose -16190 = 10*r - 11*r + 2*o, 0 = 5*r + 3*o - 80989. Suppose v = 5*l - l - r. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i such that -i**5\/10 + 103*i**4\/10 - 323*i**3 + 14713*i**2\/5 - 13293*i\/2 - 19845\/2 = 0.\nAnswer: -1, 7, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00056309 to 5 decimal places.\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 3201*v**2 - 7*v - 10. Let l(g) = 3201*g**2 - 8*g - 10. Let s(p) = 4*l(p) - 5*q(p). Let t = -72 - -77. Let x be s(t). Round x to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 80 divide 351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 8 (base 15) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from {p: 1, b: 1, l: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13454889*j - 4*j**3 - 13454889*j + 0*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.1 (b) 19\/176 (c) -1\/2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 49205866 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 53572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 360260 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - -35 - (35 + -16).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the third derivative of 0*c + 28*c**2 - 1\/6*c**4 + 0*c**3 + 0. Let r(z) be the second derivative of -z**3\/3 - 2*z. Give l(r(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*a + 14*a = -297 + 457 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -9*b - 1. Let r(j) = -4*j - 1. Determine 2*o(a) - 5*r(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1.6448 + -12.0812. Round d to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 8 (base 11) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-1)\/12 + (-5261)\/(-780) + -36 + 29 and 39\/25?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12\/7789 + 36569307\/31156. Let c = 1137 - s. Is -37 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 10, -62 in decreasing order.\nAnswer: 10, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.172 - 1.158. Let c = 16 + -16.13. Let r = c - b. What is r rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -2*p**2 - 161*p - 2145. Calculate n(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**3 - 47*f**2 - 48*f - 22. Let k be o(-46). Suppose 4*s + 58 = k. Solve -5*l + 35 = -5*x, -2*l = -x + s*l - 23 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = h + 2. Suppose 4 = 2*o + 2*k, 2*o = -0*o - 4*k - 6. Calculate the smallest common multiple of o and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 400 and 247600.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -14990*n + 4980 = -15073*n for n.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 125 times 139.23?\nAnswer: 17403.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 421040 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -31\/924 and -155\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 900273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) be the second derivative of z**4\/12 + 2*z. Let p = 147 - 142. Let l(f) = -13*f + p*f - 4*f - 13*f. What is l(h(k))?\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0 - -177*(-2)\/(-3). Let s be (18\/(-3))\/((-3)\/p). Let q = -2598\/11 + s. Sort -0.5, q, 1\/6.\nAnswer: -0.5, q, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/((-1)\/(-1))*-1*(-18)\/9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 33 = y. Let t = y + -39. Is 15 a factor of (-1)\/((-3)\/(-70))*27\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 564124 is divided by 16117?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 34778?\nAnswer: 2, 17389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = -5*f + 55, 0 = -4*f + 9*f - a - 51. Let j be ((-5)\/((-75)\/f))\/((-1)\/(-3)). Factor 2\/5*w**3 - 4\/5 - 8\/5*w**j + 2*w.\nAnswer: 2*(w - 2)*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 165151689?\nAnswer: 3, 127, 433469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 5*l + 48. Let b be (l*6\/9)\/(1 + 1). Put 2\/5, -3, -24, b in descending order.\nAnswer: 2\/5, -3, b, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the third derivative of -4*m**7\/35 + m**6\/3 + 23*m**5\/90 + m**4\/18 - 707*m**2. What is h in b(h) = 0?\nAnswer: -1\/6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j**2 - j - 8. Calculate z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 374 minutes after 12:16 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(40)\/sqrt(2)*2 - sqrt(20))\/(sqrt(256)*1).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(98) - (-2 + 2*sqrt(98)) - -5*sqrt(98)*2) + -6*(sqrt(98) + (sqrt(98) - sqrt(98)*-2))*3)**2.\nAnswer: -1764*sqrt(2) + 388966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 2*o + 15*o - o + (123 - 34 - 47)*(-2*o - o + 4*o) in the form r*o + l and give r.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y. Let m(b) = -2 + 1187*b**2 + 1571*b**2 - 2429*b**2. What is l(m(t))?\nAnswer: 329*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 13, 8, -17 in increasing order.\nAnswer: -17, -3, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 88*d - 78 = -342 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:38 PM and 6:25 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Product of 1784.074 and -0.1.\nAnswer: -178.4074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 48*y - 4. Let g be f(1). Let w(s) = s**2 + 3*s - 7. Let q be w(-5). Suppose -q*l + 22 = -g. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(2\/7)*m)\/((m**(2\/13)\/m)\/m))\/(m**(-5)\/(m*m*m\/m**1)) assuming m is positive.\nAnswer: m**(922\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 94 - 104 = -5*d. Solve 0 = -k + 5*k - 4*w + 12, 4*k = d*w - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 433527454 to the power of 1\/2, to the nearest integer?\nAnswer: 20821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -2765*n - 24448. What is a(-10)?\nAnswer: 3202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2067, -8275, -18627, -33123, -51763, -74547?\nAnswer: -101475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -152\/5 at least as big as -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -194 + 35 = -3*m. List the prime factors of m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h**3 + 8*h**2 + 5*h - 9. What is the units digit of i(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -45*w - 27*w - 137059 + 135187 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 22347480 or 22347491?\nAnswer: 22347480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*o - 2*o + 83*o. Solve o = -5*m - 4*d + 16, -5*m - d = -3 - 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 26 - 16. What is the highest common factor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*b - 17597 = -5821. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -125*k**4\/2 - 14225*k**3\/2 + 8595*k**2 - 3446*k + 460.\nAnswer: -(k + 115)*(5*k - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -t**2 - 4*t + 5. Let u = 11 + -15. Let x be d(u). Suppose -x*b + 22 = -23. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.14+-2669398542922\nAnswer: -2669398542921.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*j + 20, 0 = 5*n - 2*j + j + 4. Suppose n = -x - 4*x. Suppose 4*g + x*g = 304. Calculate the remainder when g is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2472*f*m*u**4 - f*m*u**2 + 4*f*m - f*u**4 - 2*f*u**3 - 490*m*u**2 wrt u?\nAnswer: 59328*f*m*u - 24*f*u - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 36 = 9*w. Solve w*h + 5 = 8*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -2\/5, 0.14, -0.32, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that -44*a**4 + 260*a**3 - 280*a**2 - 320*a + 384 = 0.\nAnswer: -12\/11, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m be (270\/4 - 1)*-2 + 2. What is the units digit of (m\/3)\/(5\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-1\/4))**(-1\/5)*(w\/w**(2\/17))\/(w**(-1\/7)*w)*w**(2\/5)*w**6*w**4*w*w*w**(-6\/5)*w assuming w is positive.\nAnswer: w**(5843\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4 - -30856a?\nAnswer: 308566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -111 - -105. Let n be 106 + v\/(8 + -2). Calculate the greatest common divisor of 21 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 81527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 289 minutes before 2:05 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -25401999*m - 2. Let b be j(1). Let d = 17902001 + b. What is d rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 8.96955*0.26\nAnswer: 2.332083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 19*y**2. Let f(v) = -4*v**2 - 5*v + 5. Let b be 11 - (30\/6 + -1). Let s(h) = -5*h**2 - 7*h + 7. Let i(r) = b*f(r) - 5*s(r). Calculate m(i(t)).\nAnswer: 171*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.014 and 7062482.\nAnswer: 98874.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbmbbmmbbbmbbb. What is prob of sequence mb?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -759 + 758.6. Put w, -13, 0.05, 3 in ascending order.\nAnswer: -13, w, 0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((6\/(-15))\/((-4)\/30))\/15. Let z(d) be the third derivative of -1\/100*d**5 + f*d**3 + 8*d**2 + 0*d + 0 - 7\/120*d**4. Solve z(w) = 0 for w.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 + -23. Let v be (3 + 0)\/(15\/n). What is the second smallest value in v, 0.2, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 1, -1991, 67, -3, -5 in increasing order.\nAnswer: -1991, -5, -3, 1, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 16239 = 4*a + a, 2*a - 6486 = 4*p. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-17 + 14 + 19)*(5*v - 2*v - 2*v)*(v + 8*v**2 - 8*v**2 - 3*v**3).\nAnswer: -48*v**4 + 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be 14\/2*(-44)\/(-77). Suppose z + j + 18 = 0, 3*j - 5*j - g = 0. Let h = z + 45. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4491\/15743 - 1\/2249. What is the nearest to 2\/7 in 15, 0.1, v, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -57, -56, -55, -54?\n\"Answer: o - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 2 - 2)*(-p + 4*p + 3*p)*(-9*p - 2*p + 8*p)*(-3*p + 4*p + 2*p) as c*p**2 + x*p + b + q*p**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -155958, -155954, -155950, -155946?\nAnswer: -155942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -211, -385, -523, -607, -619?\n\"Answer: 3*i**3 - 195*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(175)*-2)**2 - (sqrt(112) - (3 + sqrt(7) + sqrt(112))).\nAnswer: sqrt(7) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, 9\/2, -4 in decreasing order.\nAnswer: 9\/2, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l + 2. Let g be i(-2). Suppose -3 = -3*v - g*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8858, -34777, -77976, -138455, -216214, -311253?\nAnswer: -423572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(240) - (sqrt(240) - -1*sqrt(240))*4)\/(-3*(sqrt(10) + 1*sqrt(10)) - sqrt(10) - sqrt(10)))\/(sqrt(32)\/(sqrt(4)*-2) - (-3*sqrt(392) + sqrt(392))).\nAnswer: 7*sqrt(3)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand 25*j**3 - j**4 + 2*j - 25*j**3 + (-2*j - 2 + 2)*(-2*j**3 + j**3 + 3*j**3).\nAnswer: -5*j**4 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 58*t + 20. Let k be g(-4). Let j = 3 - k. What are the prime factors of j?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -111*h + 246*h + 4832 = 64*h + 222*h for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -7*n + 149. What is the remainder when j(-45) is divided by 81?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l and 1 u when three letters picked without replacement from {q: 6, l: 2, i: 3, u: 4, e: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:10 PM and 4:57 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**2 - 9*d + 6. Let q be a(-6). Let o = 9.65 + -10.6. Let l = -0.85 - o. Which is bigger: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e, 1 g, and 1 a when three letters picked without replacement from {e: 2, g: 5, a: 6}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 328961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the first derivative of -j**3\/3 + 6*j**2 + 2*j - 34. Let f be z(12). Solve -3*d - 2*d - 2 = 2*l, 0 = -3*l + f*d + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 589638878?\nAnswer: 2, 294819439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = 2*p + 8, -p + 0*i = -3*i + 14. Let x = 0.2 - 0.4. What is the closest to 0.2 in 2, p, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6542133 and 4537.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -18 - -24. Suppose -82 = -4*m - 2*c, 3*m - 75 = -3*c + t*c. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:34 AM and 4:07 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 x and 1 w when four letters picked without replacement from {x: 7, w: 12}.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 56 a factor of 275152248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 3*v = 0, -20 = 5*x - 3*v. Let i = 1\/9 + -25\/63. Let j = -0.3 + 0.4. Which is the closest to j? (a) x (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g**5 + 158*g**4\/3 - 52*g**3\/3 = 0. Calculate g.\nAnswer: 0, 1\/3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -0.21, -1\/4, 0.2, -4.\nAnswer: -4, -1\/4, -0.21, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 43 + (18 - 65) + -18?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 15*b*d**2*l - 1848*b*l + 8784356*d**2*l + 51226*l with respect to d.\nAnswer: 30*b*d*l + 17568712*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/8 + 159\/12. Let a be m\/4 - 1\/4. Let n(b) = -1 + 3*b**2 - b - a*b**2 + b**2 - b**3. Determine n(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 76c71 (base 13) to base 14\nAnswer: 58617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = 3*q. Let x(k) = -k**2 + 2. Let o be x(q). Solve 2*z = 2*a, 4*a + 24 = -4*z + o*z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -2, -1011, -13, 5 in ascending order.\nAnswer: -1011, -13, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) + 0)*-3 + 1.\nAnswer: -3*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1785 and 840?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1110000101010101001011000001 - 10?\nAnswer: -1110000101010101001011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -5*z + 21, -z - 8 = h - 3*z. Let y be (-30)\/((-26)\/6 - -4). Suppose -5*k + y = k. Solve -h*o + 5*o = k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1414*w**2 + 1683*w**3 - 4297*w**3 + 2050*w**3 wrt w?\nAnswer: -3384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the first derivative of -595*d**2\/2 - 45*d + 1445. Let s(i) = -27*i - 2. Determine -2*j(x) + 45*s(x).\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 4*j**2 + 492*j + 3680. Let s be x(-8). Factor 1\/3*p**5 + s*p + 0*p**2 + 2\/3*p**4 + 1\/3*p**3 + 0.\nAnswer: p**3*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 166*q + 174*q - 388*q + 140*q.\nAnswer: 92*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - (-2 + (-3 - -4))) + 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l + 4 + 8 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*524\/16 + (3003\/(-1430) - (-65)\/25)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 5*f = 383, -5*c + c = 4*f - 380. What is the smallest common multiple of c and 18?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the third derivative of 11*u**9\/504 - 2*u**7\/105 + u**5\/30 - 17*u**4\/6 + 45*u**2 + 2. What is the third derivative of t(p) wrt p?\nAnswer: 1320*p**3 - 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 2*v - 14. Let o be b(8). Differentiate -1 - 3*g**2 + 8 + 7*g**o - 9 wrt g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -30946, -30943, -30940?\n\"Answer: 3*i - 30949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 - (-69 - -65) - (37 - 1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 421858967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76*g - 5 = 71*g. Let v(c) = -2*c + 1 + 0 + c**2 + c. Calculate v(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 114279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*(sqrt(117) - ((sqrt(117) - 4*sqrt(117)*-1) + sqrt(117)))\/sqrt(9) - (-4*(-1*sqrt(91) + sqrt(91)) + sqrt(91))\/(-5*sqrt(175) - sqrt(7)))*2)**2.\nAnswer: 269361\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 18.299 or -0.115?\nAnswer: 18.299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -g + 6. Suppose -18 = -g*h - 10. Solve -11 + 3 = h*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = v - 1. Let n(g) = -g**2 - 3*g + 7. Let a(d) = -n(d) - 5*p(d). Let s be a(4). Solve -s*m - 4*x + 4 = -3*m, 4*m - 2*x = -24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes before 2:04 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be -4 - (-5 + 1)\/4. Let u be 1\/z*(-6 + 6). Solve 2*j + u + 10 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25236760 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 j = -0.44 - -0.84. Which is the third biggest value? (a) j (b) -16\/3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/6? (a) -0.3 (b) 2\/11 (c) -1 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 4*s - 5 = 0. Suppose 30*a = 13*a - 34. Put a, s, 4 in ascending order.\nAnswer: a, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p + 5. Let v be u(5). Suppose -l = 2*y - 31, 3*y + v*l - 29 = 2*l. Find the second derivative of 14 - 14 + y*g - 17*g**3 wrt g.\nAnswer: -102*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*d**5\/3 + 216*d**4 - 16838*d**3 - 318796*d**2\/3 - 216040*d - 145200.\nAnswer: -2*(d - 165)**2*(d + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.8 + 0. Let g = u - 0.2. Let f = g - -0.5. What is the third smallest value in f, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(66)\/(sqrt(18)\/sqrt(3)) - (5 + (sqrt(44))**2).\nAnswer: -49 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 490 divide 261660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from llpcaccolllalalolv.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 707.86 + -659. Let u = l + 1.14. Let m = u - 50.0023. What is m rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18265 divided by -13?\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the second derivative of -d**5\/20 - d**4\/12 - 7*d. Factor n(g).\nAnswer: -g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 37461 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 562 (base 8) in base 5?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -62, -2, -138 in ascending order.\nAnswer: -138, -62, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**3 - 2*m**2 + 2*m + 7. Let u(f) = 2*f**3 + 3*f**2 - 5*f - 15. Let i(c) = -5*b(c) - 2*u(c). Let o be i(-3). Suppose -7*y = -o*y + 3. Is 2\/69 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -49, -43 in decreasing order.\nAnswer: -1, -43, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -112\/5*t + 372\/5 - 4\/5*t**2.\nAnswer: -4*(t - 3)*(t + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 504 divided by -84?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand 502*o**4 + 346*o**4 - 202*o**4 + (o - o + 2*o)*(0*o + 0*o + 2*o**3).\nAnswer: 650*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1 + -5 - 6\/(-1). Suppose 4*y = 2*y + 20. Suppose -3*d = 2*d - y. What is the highest common divisor of d and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 16 + 252 = 0. Let r = -4361152\/16289 - 138\/1253. Let v = h - r. Which is the smallest value? (a) 0 (b) v (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2650205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 5*a + 11. What is the tens digit of h(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 66 and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -75, -3, -344, 82 in descending order.\nAnswer: 82, -3, -75, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 23 + -16. Let l(m) = -8*m + 0*m + i*m. Let s(r) = 8*r**2. Determine s(l(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = 3*s + 12, 3*s + 2*f + 4 = 2*s. What is the smallest common multiple of 968\/99 + s\/(-18) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (22\/16 - 1)\/((-25245)\/78540)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = p**3 + 8*p**2 + 3*p - 9. Give r(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 331 minutes after 5:40 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 428 minutes before 10:48 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 2*l**2. Let r(f) = 9*f**2 + 5*f + 5. Let k(n) = -4*n**2 - 2*n - 2. Let b(c) = 10*k(c) + 4*r(c). Determine u(b(p)).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 3098295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-1\/9)*f**15 assuming f is positive.\nAnswer: f**(134\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ozzzoo. Give prob of picking 2 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 5397.42 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 33 + -3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 306275 less than 139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4852499997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/(-2) - 0\/1. Suppose 15 = 5*s + 3*r, -s - 3*r + 1 = -2. Let n be (s\/(-15))\/(4\/(-5)). Which is the nearest to -1\/3? (a) n (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a + 2*y - 13 = a, 5*a - 4*y + 25 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1205, 2501, 3807, 5129, 6473?\nAnswer: 7845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be 75\/7 + 4\/14. Suppose -92*f + 95*f - 17 = 5*r, 0 = -2*f - 4*r + 4. Solve 3*x - 5*w = -6*w - u, -4*w = f*x + 20 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z**2 - 4*z + 4. Let w(f) = -f**2 + f - 1. Let b(s) = -u(s) - 2*w(s). Determine b(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence frx when three letters picked without replacement from xferu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -353075 (base 13) to base 12\nAnswer: -50b14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -20, -17, -10, 1?\n\"Answer: 2*v**2 - 3*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = -3*h - h - 20, 2*h + 8 = y. Let i = 1 - -3. Suppose 9 = -5*u - 16. Put u, h, i in descending order.\nAnswer: i, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*n = 1360 - 10040. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 65702.\nAnswer: 2, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1100352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5, -2.2, 0.1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 507*x - 258*x = -8*d + 254*x - 161 - 61, 5*d + 153 = -4*x for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*j = 16972 - 4309. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 1 e, and 1 i when three letters picked without replacement from {w: 6, e: 1, i: 2, a: 2, b: 5, h: 1}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1682 is divided by 556.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1 - (-4)\/6*-3. Let l be (0 - -7) + (-1 - p). Let h = 0 - -16. Solve 3*n + l = h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-16)\/28 - (-4 + (-2448)\/(-567)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(192) - (sqrt(192) - (sqrt(192)*2 + sqrt(192))*4) - sqrt(192) - (sqrt(192) + (sqrt(192) + 1)*-5))**2*4.\nAnswer: 4800*sqrt(3) + 172900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/(-6)*-38*18. Suppose 0 = 251*a - 2241 - 771. What is the highest common factor of a and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the first derivative of -3*o**2\/2 - 6. Let h(u) = u. Let j(t) = -5*h(t) - k(t). Let a(v) be the first derivative of 7*v**2\/2 - 3. Determine a(j(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 468 minutes before 11:20 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Product of -1996 and -9.\nAnswer: 17964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -984*d - 69938 + 69938 in the form v*d + z and give v.\nAnswer: -984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -44 * -5.567.\nAnswer: 244.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3 + 0 + -3 + 1. Suppose -26 + g = 5*l. Let j = -73\/4 - -18. Sort 4, j, l.\nAnswer: l, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -10134.6 != 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by -9169\nAnswer: -5\/9169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -5\/342 and -155\/4854348?\nAnswer: 4854348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -10651 - -10497. Which is greater: h or -461\/3?\nAnswer: -461\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z**2 + 7*z + 16. Let s be m(-5). Suppose -7 = s*f - 55. Suppose -4*v - c - c = -16, -4*v + 2*c + f = 0. Solve x - v = -1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (16 - 16 + 8*x)*((-3 + 0 + 1)*(2 - 3 + 0) - 9 - 2 - 13).\nAnswer: -176*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -6*a**2 + a + 8. Let h be s(-2). Let z = h + 22. Solve z = 9*i - 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 105 - 131135?\nAnswer: -131030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u**3 - 5*u**2 - 4*u + 9. What is g(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*x - 5*x - 3*x**2)*(518 - 4*x + 6*x - 738) to m*x**2 + q*x**3 + g*x + p and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 102200 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: How many minutes are there between 10:18 AM and 7:27 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2946096?\nAnswer: 2, 3, 41, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 14 = -2*c, -1600*c - 5*v = -1601*c + 35. Solve -25*t - 163 + 238 = c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 306\/4 - 1\/3. Let n = -76 + a. Let t be 3 + 1*105\/(-25) - -2. Put -2\/11, n, t in increasing order.\nAnswer: -2\/11, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 164427862.\nAnswer: 2, 19, 4327049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from {a: 3, w: 1, t: 2, s: 2, c: 3, d: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8 - -5) + -29 + 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1373781470*x**2 - 1633356253 wrt x?\nAnswer: 2747562940*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q and 2 m when four letters picked without replacement from xqiqqimuiqiiimq.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*s = 25*s. Let j(q) = 70*q**2 - 3 + 0 - 71*q**2. Give j(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 85 and 2098820.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14)\/(-52)*216\/(-189)*40\/(-20).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 19820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28054791 - 3440.09.\nAnswer: 28051350.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 151734474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 704*-0.01.\nAnswer: -7.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*q + 0*q + 2*q**3 + (-9*q - 23*q**3 + 9*q)*(-1 + 4 - 2).\nAnswer: -21*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1599?\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-17) - 18615\/(-1445)) + 28\/7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 345\/2 > -34929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**3 - 6*n**2 - 4*n + 5. Let s(p) = p**2 - 8*p - 5. Let i be s(8). Let z be g(i). Solve z = -2*y - 5*o + 10, -2*y + 4*o = 2*o + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 336 + 13247655?\nAnswer: 13250213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11100110110010 + 0?\nAnswer: -11100110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -117 by -92.\nAnswer: 117\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -156, -305, -450, -591, -728?\n\"Answer: 2*u**2 - 155*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 14316, 28602, 42888, 57174?\nAnswer: 71460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:33 PM and 4:14 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.004334725 to five dps.\nAnswer: 0.00433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 109 - 116 - ((0 - 1) + 62)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be (1 + -21)\/((-22)\/(-33)). Let g be a\/12*44\/(-1). What is the greatest common divisor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1 - (2 - 5) - -15. Calculate the greatest common factor of z and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 113, 221, 325, 419, 497, 553, 581, 575?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2600?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -3085 (base 10) to base 11\nAnswer: -2355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b - 7 - 12 = -5*i, 17 = -2*b + 5*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -22, 5, -1, 4500, 16 in decreasing order.\nAnswer: 4500, 16, 5, 0, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 67583 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1299, 1321, 1353, 1389, 1423?\n\"Answer: -h**3 + 11*h**2 - 4*h + 1293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 120 minutes after 7:10 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 + -1. Let p = -0.044 + -0.156. What is the closest to m in 3, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 w when three letters picked without replacement from owooooooooooooooooow?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*o - 12*o = 0. What is the units digit of (-97 - -99)*(-332)\/(-1 + o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from vzvvvivvvzwvzzwi.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 20 = -5*o - 0*a, -4 = o - 4*a. What are the prime factors of 18*(2\/o)\/((-21)\/154)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(171) - (1 + sqrt(171) + -1))*-3 + 3*(-2 + sqrt(171)) + -5.\nAnswer: -11 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 158228 + -158123. Let t = 70 + -28. Calculate the greatest common divisor of i and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 49 + 75 + 127*m - 122 as c*m + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -93202*a + 466168. Calculate o(5).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1972?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*n - 327 + 40 = 49 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = l + 1, 4*l - 43 = 5*n. Let m = 49 - n. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 92 and 26112.\nAnswer: 600576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 - 3)*((3*h - 3 + 3)*(3 - 6 + 1) + (-h - 3*h + 3*h)*(39 - 21 + 16)*(3 - 1 + 2)).\nAnswer: 284*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*b + 5304330 = 70*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**3 - v**2 - 7*v - 5. Let n be z(-5). Let k be (-10)\/(0 - 5 - -3). Calculate the lowest common multiple of 9 and ((-3)\/6)\/(k\/n).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 36 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 101*s - 84*s - 204. Calculate the smallest common multiple of 102 and s.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 16) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**3 - 19*n**2 + n - 15. Let t be i(19). Let j(c) be the first derivative of 3 + 1\/22*c**t + 4\/33*c**3 + 1\/11*c**2 + 0*c. Factor j(l).\nAnswer: 2*l*(l + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 8 + 12)*(1 - 3*n - 2 + n).\nAnswer: -26*n - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -52 divided by -17541?\nAnswer: 52\/17541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*o - 2*o**2 - 6*o)*(-9*o**3 + 15*o**3 + 40*o**3) + o**2 + 3*o**5 - o**2.\nAnswer: -89*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ipci when four letters picked without replacement from cccpppcpppiii?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d**2 + 1. Let r(p) = 8009 - 8009 + 10*p. Let w(m) = 3*m. Let u(a) = r(a) - 4*w(a). What is o(u(f))?\nAnswer: 4*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01464958 rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-1\/5)\/((q**(-3)\/q)\/q))**2\/((q*q**(-1)*q*q)**(6\/25)*q*q**(2\/5)\/q*q*q**1) assuming q is positive.\nAnswer: q**(168\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -2\/57, 3, -0.2, 0.8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -2, -9, -18, -29?\n\"Answer: -d**2 - 4*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 58 divide 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-13)*((r**(-6\/5)\/r)\/r)\/r)\/(r**(-2\/11))**(2\/51) assuming r is positive.\nAnswer: r**(-48226\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 1169*k + k**2 - 1 - 2 - 1171*k. Give r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -322 + 179. Let q = -143.2 - m. Which is the fourth smallest value? (a) q (b) 1 (c) -6 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -2058 divided by -6\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4 - ((9 - 10) + -167 + 5). What is the greatest common factor of a and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 265 + -264.659. Round o to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -8377, -8370, -7977, -7006, -5265, -2562, 1295, 6498?\n\"Answer: 32*x**3 + x**2 - 220*x - 8190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the first derivative of 2*a**3\/3 + 16*a**2 + 30*a - 30. Factor y(d).\nAnswer: 2*(d + 1)*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*y**5 + 637*y**3 - 609*y wrt y?\nAnswer: -40*y**3 + 3822*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76 = c - 4*s, 4*c + 157 = -5*s + 503. Calculate the greatest common divisor of 714 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 5 - 3)*((-t**2 - t**3 + t**2)*(-4*t + 6*t - t) + 1 - 1 - 3*t**4 - 3*t**4 + 3*t**4 + 3*t**4).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x be (6\/15)\/(3\/(-15)). Put 4, x, -5 in decreasing order.\nAnswer: 4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 5*l**2 - 8. Let c(s) = 11*s**2 - s - 18. Let p(m) = 4*c(m) - 9*n(m). Let r(x) = x**2 + 5*x. Give 7*p(h) + 6*r(h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 19\/4 of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:01 PM and 4:39 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a + 25 - 10 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3 - 1. Let j = r - 3. Are 2\/7 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 times -24298\nAnswer: -24298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.51 (c) 11\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 2908800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = -21499\/30 + 719. Calculate the common denominator of a and -181\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17 - 27 = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 9b1 (base 12) in base 7?\nAnswer: 4111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 10248 + -25528. Let w = -134229\/40 + -4294999\/360. Let m = c - w. What is the common denominator of 17\/3 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.5935 + -2.3984. Let c = x + 0.81. What is c rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in 0.5, -0.4, -4, -4\/35, -11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -63 + 7 = -8*g. Suppose g*s + 108 = 1837. Calculate the highest common factor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(2\/7)\/k*k**(-3\/4))\/((k*k**(1\/5))\/(k**(2\/3)\/k)) assuming k is positive.\nAnswer: k**(-1259\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3.4 + -0.6. Put -16, c, -2\/17 in decreasing order.\nAnswer: -2\/17, c, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -41*f + 16*f + 20*f + 11. Is h(-6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**3 + 3*r**2 - 2*r + 1. Let u(g) = g**2 + 16*g + 30. Let a be u(-15). Suppose -a*s + 3*s = -36. Let j be s + (0 - -2)\/(1 - 2). Determine c(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-255)\/(-1275))\/((-8)\/(-10)*3\/(-132))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 38 divide 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3 + 3)*(-1)\/(-2). Suppose -6 = -3*n - 0*n. Suppose j*p = -n*p + 370. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 275 + 291 + 285 + 3464*j**3 - 851.\nAnswer: 3464*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -62 + 71. Let i be (4\/4)\/((-2)\/42). Let b = -10 - i. What is the smallest common multiple of q and b?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 1423288728611 and 0.19.\nAnswer: 1423288728611.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 41289121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - z = -8. Let f = -1 - z. List the prime factors of (6*1)\/f - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(14)\/(-5*sqrt(18))*5.\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1230.2030834 - 0.4?\nAnswer: 1229.8030834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -282, 291, 850, 1383, 1878, 2323, 2706?\nAnswer: 3015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 4, x: 6}. What is prob of sequence xxx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 14 - 16 = 0. Let i(m) = -7*m. Let y be i(-4). Let c = y - b. What is the greatest common divisor of 26 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**13)\/(y\/y**(-3\/10)) assuming y is positive.\nAnswer: y**(127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g + 11 = d - 0, -d + 6 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 4729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -6*m + 4*m**3 + 2 + 6*m**2 - 5*m**3 + m**2 + 0*m**3. Let k be a(6). What is the units digit of k - (-9 - (1 + 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.5856 - -0.9436. Round f to 2 dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1257577859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*y + 2 = -12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes after 4:57 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 2, h: 4}. Give prob of sequence hg.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find s such that 6354\/19*s - 3180\/19*s**2 + 2\/19*s**3 - 3176\/19 = 0.\nAnswer: 1, 1588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32*j + 32*j + 7*j**3.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*s**3 + 40*s**2 + 36*s.\nAnswer: 4*s*(s + 1)*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/3)\/(44\/(-110))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 158744619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -576*b**2 + 624*b**2 + b - b + 398*b**2 as q*b**2 + h*b + r and give q.\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 30*p**3 + 11. Let i(g) be the first derivative of 5*g**4\/2 + 4*g + 327. Calculate 11*i(r) - 4*y(r).\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - (18 + -9 + (-4 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (8\/96 + (-841)\/(-348))*96\/(-10)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/(-10)*((-31030)\/963)\/((-2)\/6)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 5*f**3 - 42*f**2 + 56*f - 38. Let v(q) = -q**3 + 9*q**2 - 11*q + 8. What is 19*v(o) + 4*z(o)?\nAnswer: o**3 + 3*o**2 + 15*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 20289150 greater than 20289152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 241*k + 48 = 225*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (949 - 991) + (-3 - -20).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 2054788660 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -13432 divided by -721?\nAnswer: 13432\/721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(8\/11)\/(k**(-8\/5)*k))\/(k**(4\/7))**(11\/2))**(-44) assuming k is positive.\nAnswer: k**(2796\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**3 + 32*l**2 + 25*l + 64. Is q(-18) a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 5399 = -521. Let d = 117 + x. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -2518095\/334 = -7538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 3, y: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -4*2*sqrt(3).\nAnswer: -8*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w**2 - 7*w + 9. Let g be h(-8). Let s(r) = -r - r - r + g. What is the remainder when 12 is divided by s(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 70*(-8)\/48*3276\/390\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 94833273 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is fb023 + -1de?\nAnswer: fae45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i**2 + 21*i - 85. Let w be s(5). Let h(a) = -13*a - 11. Let v(n) = -20*n - 17. Let u(l) = w*v(l) + 8*h(l). Calculate u(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 128 + -123. Suppose 49 = 5*c + 2*f, k*c - 70 = -3*f - 19. Calculate the greatest common divisor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -82*k - 16*k = -207172. Round k to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-15)\/(-18)*(-8)\/10. What is the closest to -0.09 in 3, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 589 = -5*o, -y + 3*o - 544 = -o. Which is smaller: -563 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -357 - s**5 + 4*s**5 + 350 + (s**4 + 0 + 0)*(-s + 2 - 2) + 7*s**5 - 116 + 116 + 0*s**2 + 0*s**2 - 2*s**5.\nAnswer: 7*s**5 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4 + 24454?\nAnswer: 24450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -96*j + 1441. Let s be p(15). Let b be 3*(8\/(-6) - -3). Sort 0, s, -2, b in decreasing order.\nAnswer: b, s, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -165 - 49. Let f = 1095889 - 1096103.0107. Let z = g - f. What is z rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 4*f - 3*f - 19 = 0, 18 = -2*b - 2*f. Let z(c) = c**2 + c - 5. What is the remainder when z(b) is divided by 12 + 2\/(-3 - -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 44*f**3 + 0 + 111*f**3 - f - 41*f**3.\nAnswer: 26*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 20 = w. Let d(y) = 14*y**2 - 8. Let p(q) = 9*q**2 - 5. Let a(i) = w*d(i) + 8*p(i). Let s(x) = -x. Determine s(a(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1\/15 + 4\/15. Let a = -165.3 + 163.3. What is the nearest to a in 3\/5, -26, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(2) + 3)**2 - ((sqrt(2) + -1 + 5)**2 + sqrt(2))) + 0.\nAnswer: -3*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -544 in -4, -1\/281, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 62 a factor of 2901805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1131.412 tonnes in nanograms?\nAnswer: 1131412000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/(-8) + (-429)\/728*2\/(-3). What is the nearest to b in 0.2, -2, -4, -15\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 206*v**3 + 8*v - 120*v**3 - 94*v**3 - 8*v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 11*i**2 - 3*i + 7. Let l be u(2). Calculate the highest common factor of l and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -39 - -67. What is the lowest common multiple of -44*(36\/24 + -1 + -1) and t?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - 6 - 6. Suppose -15 = -p - 4*p. Let c(a) = -4 + a**p - 3*a**2 - 3*a**2 + 5*a + 9 - a**2. Determine c(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -508? (a) -2\/3 (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (56\/(-5)*32\/112)\/((44\/(-20))\/(-11))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*l**2*z**3 + 13858*l**2*z**2 + 2629002*l*z**3 - 126*z**2 wrt z.\nAnswer: -12*l**2 + 15774012*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 24*s - 10*s + 2*s.\nAnswer: -32*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, x: 1, z: 1, e: 3, t: 1}. Give prob of picking 1 z and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 93*(-6)\/(-36)*68\/2.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 8504\/34 + 2\/(-17). Suppose s = d + 4*d. Let o = d - 28. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*c*h*i**2 - 4*c*h*i - 1242*c*i**2 - 4*c + 3*h*i**4 + 84*i wrt i.\nAnswer: -4*c*h - 2484*c + 36*h*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -21 + 58. Suppose 5602 = k*z + 1199. What is the remainder when z is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 4658, 4660, 4662, 4664?\n\"Answer: 2*s + 4656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/(-14) + (-1)\/(203\/(-3538)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -19116000.2 rounded to the nearest 10000?\nAnswer: -19120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*v - v. Let x(k) = -2*k - 6. Suppose 3*z + 3 + 9 = 0. Let u be x(z). Solve y + v = -u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*o**2 + o - o)*(-6 - 3 + 4).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 63\/1976 and 1\/536484.\nAnswer: 1072968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 31 = -40. Factor 6*y**2 - 6*y**v - y**2 + 2 + 4*y**2 - 5.\nAnswer: -3*(y - 1)**2*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8*5\/(-30)*(-3)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**3 - 37*m**2 + 39*m + 70. Let p(b) = -3*b**3 - 113*b**2 + 116*b + 210. Let j(a) = 7*f(a) - 2*p(a). What is the hundreds digit of j(-35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -3*v**3 - 288*v**2 - 842*v - 476. Calculate o(-93).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -4*l**3 - 113*l**2 + 37*l + 228. What are the prime factors of b(-34)?\nAnswer: 2, 13, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51*j + 54 = -50*j. Suppose 0 = -4*z + 7*z + j. Is ((-2338)\/(-6))\/(5 + 84\/z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g\/((g*g*g**(-1\/4))\/g)*g\/g**(-7\/8)*(g*(g*g**(-20)*g)\/g)**(-9) assuming g is positive.\nAnswer: g**(1313\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/((-4)\/(-2008) + (0 - 0)). Let o = g + 773. What are the prime factors of o?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qwqe when four letters picked without replacement from eqiqiqweigieqhi?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = 2*j - 120. Suppose -2*z = -v - j, 0 = -5*v - 12 - 8. What is the greatest common factor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 41 + 6541*i**2 - 42 - 3601*i**2 + (3*i**2 - 2*i**2 - 3*i**2)*(0 - 3 + 9).\nAnswer: 2928*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor v**2\/6 - 2299729*v\/2.\nAnswer: v*(v - 6899187)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 525*h - 1810*h = 46260 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**2 - 6*o + 9. Let k be p(-7). Suppose 8 = -k*q, -5*j = -3*q - 26 - 16. Let a = 28 + -28. Solve -2*w + 4 + j = a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -54, -5, 16\/9?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -8 (b) 3\/95 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = 2*k - 177, 0*k = 3*k - 5*a - 313. Let r be ((-87)\/4)\/(27\/72). Let g = r + k. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - c = 28575, 0 = -5*c + 9 + 16. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - 185*g + 1\/2*g**3 - 369\/2*g**2.\nAnswer: g*(g - 370)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 41 - 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 6132*-3613\nAnswer: -22154916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 85652899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0\/(-87))\/((-35)\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - 1)*(0*q**2 + 2*q**2 - q**2) + 0*q**2 + q**2 - 3*q**2 + 3*q**2 + 2 - 2 + (-2*q - 3*q + 3*q)*(0*q + 0*q - 2*q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 37 + -14. Let t = -22.7 + f. Let v be 2\/5 - (-38)\/(-20). What is the biggest value in t, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 259*d + 2*d = -203*d - 6496 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4028952?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6*n - 5*a - 22, 10840 = 5*n + 5*a + 10840 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 30212728373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 1192*z + 902343. Determine c(-757).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 149\/85560 and -7\/1380?\nAnswer: 85560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**8\/(b*b\/b**6)*(b*b**(-13))\/b**(-8))**(1\/75) assuming b is positive.\nAnswer: b**(8\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y be (13\/(-4))\/((-5)\/60). Suppose 7*x + 18 = y. Factor 26\/5*q**2 + 6\/5 + 6\/5*q**x + 26\/5*q.\nAnswer: 2*(q + 1)*(q + 3)*(3*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 149816678339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 14107368 and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -52 (base 14) to base 4\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*j**2 - j**2 - 3*j**2)*(-j - 1 + 1) - 2*j**3 - 3 + 3 + 2*j + 1797*j**3 - 1800*j**3 + 3*j to the form x*j**2 + w + c*j**3 + t*j and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-22)\/(-6))\/(60\/(-180))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hv when two letters picked without replacement from {h: 2, v: 2, d: 3, u: 6}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {i: 10, k: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -7*o + 2*o. Let h(q) = -q**3 + 5*q**2 + 6*q + 2. Let w be h(6). Let l(t) = 4*t - 4*t - t**w + t. Determine l(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1125\/6 - 2\/4. Suppose 3*d = -5*p + 2*d + 169, 5*d = 3*p - 107. Suppose -w - p = -3*w. Calculate the greatest common divisor of w and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3616*p**2 - 538*p - 46245077?\nAnswer: -7232*p - 538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((2 - -2)\/(-4))\/(3 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*((sqrt(171) + sqrt(171)*-1 - sqrt(171))*-3 + -1*(2*sqrt(171) - sqrt(171)))\/(-1*(sqrt(324) + -1*sqrt(324) + sqrt(324) + sqrt(324))))**2 + -1.\nAnswer: 67\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g*g*g**(1\/44)*g*g)\/(g\/((g\/g**(2\/31)*g)\/g)*g*g))**(10\/7) assuming g is positive.\nAnswer: g**(20175\/4774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 9\/10 of a second?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 2*h + 930 = 0. Let n = 3063 - 3256. Let t = n - h. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f**3 + 5*f**2 + 7*f + 1. Let l be h(6). Which is bigger: 3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 26 by -391396.\nAnswer: -13\/195698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-5)\/(-2)*16\/20. Let u = -4 + p. Does 23 divide u - 7*3*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5248 and 11758144?\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -16d37 (base 16) to base 12\nAnswer: -46133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-114)\/(-19)*(-139)\/(-8062)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -56 (b) -0.1 (c) 0.5 (d) -253\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s**2 + 32*s - 118. Is d(-41) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2626 - 2574. What is the greatest common divisor of 52 and l?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -14 - -23. Suppose -53 = -4*z - 0*p + 5*p, -z - 4*p + 8 = 0. Suppose 6 = z*n - r*n. Is n less than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*r**3 - 15*r**4 + 12*r**4 - r**3 + (-3*r**4 - 3*r**3 + 0*r**4 + 5*r**3)*(2 + 0 + 0).\nAnswer: -9*r**4 + 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 * 1988.\nAnswer: -1988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 649412 is divided by 359?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 4 + (-3 - (-5 - 0 - -3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*i + i + 4*i)*(0*i + 0*i + i)*(i - 3*i + 0*i).\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -111 - -46. Let g = -46288.64059 - -46353.64. Let m = c + g. Round m to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 8 = 2*k. Suppose -3*o + 10 = -o - 5*x, 4*x = -k*o + 20. Suppose -4 - 1 = -o*m. Let l(t) = 10*t. Determine l(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-1)\/(-3))\/((-2)\/8). Let r = -123 + 859\/7. Put r, 2, x in ascending order.\nAnswer: x, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1039 in 0.21, 5, 1, -4, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -3*m**2. Let v(r) = -31 + 7*r + 31. Give n(v(b)).\nAnswer: -147*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -230 - -182. List the prime factors of 6*(3\/(-24) - 4454\/m).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 280365709, 280365713, 280365717, 280365721?\n\"Answer: 4*p + 280365705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -v - 22*v**3 + 3*v - 4*v + 87*v**3.\nAnswer: 65*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 1, e: 1, z: 5, p: 3, j: 2}. What is prob of sequence jejz?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 274*-31.\nAnswer: -8494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 + -12 - (-1300 + 1238)) + 37.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be 20\/(-24) + 8\/12. Is 1 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 36\/(-432)*388*3.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t = h - 27 + 223, -3*h + 162 = -3*t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/9 + (-1302)\/(-27). List the prime factors of ((-5)\/(-4))\/(4\/t).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 3*u = a - 426, 3*a + 4*u - 244 = 0. What is the highest common divisor of 308 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 384519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 42 and 136282804.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 21, -2\/65, -1.1, 0.2?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = 3*j + 3*z - 101, -3*j + 324 = 2*z. Calculate the highest common factor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1377)*1 + 2 + -2 + -1 - ((((sqrt(1377) + 0)*-3)**2 - sqrt(1377)) + sqrt(1377) + -4*(-1 + sqrt(1377))**2 + -5))*5.\nAnswer: -34385 - 315*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 17 - 11. What is the smallest common multiple of z and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 215456 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 14 - 24. Let f(v) = -11*v - 22. Calculate the remainder when f(b) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -0.2, -13, 2, -4\/19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -34 - (-8 + 3 - -8 - 13).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:00 PM and 3:25 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (2*(1 + sqrt(468))**2 - ((sqrt(468) + 1)**2 + 3)).\nAnswer: 12*sqrt(13) + 462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) -6 (c) -0.2 (d) -641891 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that -4*a**3 + 8709372*a**2 - 4740870440832*a + 52148521020464 = 0.\nAnswer: 11, 1088666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 895648 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y be 10 + -8 + -1 + -1. Suppose y*w = 3*w - 15. Factor -2*n**4 - w*n**2 - n**2 + 0*n + 6*n**3 + n + n.\nAnswer: -2*n*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1648 or -1593?\nAnswer: -1593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.071 + -364?\nAnswer: -363.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhwbwx. What is prob of picking 1 x, 2 h, and 1 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 84.302 rounded to 0 dps?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 13395419 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -17 - -36. Suppose -2*i + r + 19 = 0, i = 3*r - 2 + s. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:10 AM and 10:54 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -v**3 + 6*v**2 + v. Let f(w) = w**2. Let m(j) = b(j) - 6*f(j). Factor m(l).\nAnswer: -l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ap when two letters picked without replacement from {s: 5, p: 2, a: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 3, -19, -1, -31, 191 in decreasing order.\nAnswer: 191, 3, -1, -5, -19, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 7085642646?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 18473 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.08514 + 2.08514. Let h = -26 - -22. What is the nearest to y in 3.3, h, 0.3?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2.87 and -1?\nAnswer: 2.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 223430261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1046, 1050, 1056, 1064?\nAnswer: 1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 6 (base 14) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = h - 3*u, 54 = 4*h + h + 4*u. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 193733 is divided by 687?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -18410 - -14285. Which is bigger: x or -4123?\nAnswer: -4123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -2*v + 38. Let m(k) = k - 19. Let r(h) = 5*m(h) + 3*w(h). Let c be r(10). Let x(i) = 26*i**2 - c - 16 + 25. Let n(t) = 2*t**2. Calculate x(n(z)).\nAnswer: 104*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 18, 4, 2, -0.13 in decreasing order.\nAnswer: 18, 4, 2, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/15 + 0)\/((-17)\/(-51))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 8.278 and 0.1742.\nAnswer: 1.4420276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 136656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = 2*d - 4, 34*d = -5*i + 30*d + 35. Suppose 3*k + 2*r = -0*k + 96, -i*k = r - 93. What is the remainder when k is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k = 8, 4*k = -8*q + 12*q - 40 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**3 - 2*f**2 + f - 3. Let n be v(-3). Let d be -1*((-8)\/n + 3). Let x = 4\/21 + -1\/3. Is d at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-260)\/39)\/(20\/(-15)). Let a = 8 + -5. Suppose -3*g = -a*j + 6, -g - 12 = -d*j + 6. Solve b - 5*b + j = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:49 PM and 6:41 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -7 - -21. What is the lowest common multiple of h and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-2)\/(-2) - 1)*(-10)\/(-20). Suppose n = -4*i - 151 + 163. Calculate the least common multiple of (-378)\/35*(-10)\/4 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5 + v**2 - 8 - v**3 - 4*v**2 + 2*v**3 to f*v**2 + n + j*v**3 + y*v and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/4785 and -107\/18270.\nAnswer: 200970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 27 = -3. Suppose -y*a + 4*a + 68 = 0. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 102 or 137597\/1332?\nAnswer: 137597\/1332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -265 = 7*j - 2*j - 5*d, 4*d = 0. Let m = j - -56. Solve m*h - 3*r = -18, 0 = -h - r - r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 826 is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 13*w**2 - 68*w + 10. What is o(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1\/14864 + 3711\/74320. Find the common denominator of l and (3\/(-105))\/(2\/(-205)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -69842, -279873, -629916, -1119971, -1750038, -2520117, -3430208?\nAnswer: -4480311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 8525.427 millimeters in kilometers?\nAnswer: 0.008525427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0193035664 + 0.12?\nAnswer: 0.1006964336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -80*l + 82*l + 12 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in sixty-seven fifths of a microgram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 4498705 * -0.1\nAnswer: -449870.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 42125 and 875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 658046 or 658041?\nAnswer: 658046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -46*t + 50. Let y = -179 + 183. Let w(o) = -44*o + 49. Let d(s) = y*w(s) - 3*p(s). Differentiate d(m) with respect to m.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -31463\/35 - -899. Is g <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, t: 1, f: 5, a: 2, v: 1, m: 3}. What is prob of sequence ff?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.017 - -350430147652.\nAnswer: 350430147651.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -543 greater than or equal to -544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-2)\/(-3) - 480\/(-90)) + 1 + -12. Which is the third smallest value? (a) 4\/3 (b) 4 (c) -0.4 (d) p (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2262 - 2242. Solve -n = 20*x - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 194 + -190. Solve -24 - 21*g**3 + 3*g**5 + 6*g - 8*g**4 - g**j + 33*g**2 + 0*g**2 + 12*g = 0 for g.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 59537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -2*z**3 + 37*z**2 - 17*z - 16. Let x be d(18). Let c(a) be the first derivative of -1 - 4\/9*a**x + 8\/9*a + 1\/18*a**4 - 2\/27*a**3. Factor c(t).\nAnswer: 2*(t - 2)*(t - 1)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 406543 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -877417*r. Let l(b) = -34*b. Calculate w(l(q)).\nAnswer: 29832178*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -44352590 divided by -8870518.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10348 is divided by 109.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the second derivative of a**7\/840 - a**6\/20 + 17*a**5\/120 - a**4\/3 + 61*a**3\/3 + 26*a. Let p(y) be the second derivative of c(y). Determine p(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u, 2 h, and 1 r when four letters picked without replacement from huhuhlhhrulhlhrh?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 110783.\nAnswer: 139, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10\/3784457 or 1?\nAnswer: 10\/3784457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -148? (a) -0.136 (b) 0 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*h - 41*h + 601 = 19*s, 4*h - 109 = -3*s for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 13 + -12.9. Let b = 4.4961 + -3.9961. What is the nearest to t in b, -4, 12.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -4, -3\/11, 0.333, 2\/11?\nAnswer: 0.333","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 0, 8 in ascending order.\nAnswer: 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -19758545 divided by 1?\nAnswer: -19758545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*c = 5*c - 10. Let u(i) = -16*i**3 - i**2 + 2*i. Let a be u(c). Suppose t - 4*t = -a. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 863 is divided by ((-846)\/(-54) - 6) + 2\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14333747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 4107856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -25 - (28 + -32 + 8).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -2*n**2 - 9*n - 3. Give c(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x - 58 - 29. Calculate the highest common factor of x and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 191895, 190226, 188557, 186888, 185219?\nAnswer: 183550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 2*r = -42. Which is smaller: r or 43\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand y**2 - y + y + (-5*y + 2*y + 2*y)*(-6*y + 2*y + 3*y) - 53*y**2 + 160*y**2 - 9*y**2 + (-2*y + 0*y + y)*(3 - 3 - 2*y) + y**2 + 0*y**2 - 2*y**2.\nAnswer: 101*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 90 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(133) - -2*sqrt(133))*4)\/(sqrt(7) + sqrt(7) + (2*sqrt(56))\/sqrt(8)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.05 and 48.75?\nAnswer: 2.4375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 33 - 7 = -2*v, 2*v + 3*b = 36. What is the smallest common multiple of -5 - (-112 - -4)\/4 and v?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 777880 divided by -3\nAnswer: -777880\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.08 less than -0.1194?\nAnswer: -0.1994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a + 4*a - 4*a)*(0*a + 0*a - a**2 - a**2 - a + a + (-2 + 2 - 2)*(-2*a + 2*a**2 + 2*a)) + a**3 - 4*a**3 - 4*a**3.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 7853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 40459.329ms in hours?\nAnswer: 0.0112387025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 570412025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -1111 (base 2) to base 12\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 32425473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 148? (a) 150 (b) 0.2 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cttxctcttcxx. What is prob of sequence ttcx?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26\/(-3)*-19*2205\/12103.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 145 divide 3966819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 375 and 1725.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a microsecond in nanoseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = -115*j + 117*j + 31000, -5*j = 0. Calculate the remainder when o is divided by 228.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 18 + -15. Suppose m = -5*i + 20, -9 = -m - u*i + 11. Suppose 4 = 3*j - 2, -q + m = -j. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**2 + 1. Let b(u) = -3*u**2 + u + 4. Let n(z) = -4*b(z) + 11*j(z). Let s = 121887 + -121863. What is the smallest common multiple of n(-4) and s?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1*-10)\/(2\/7). Let g = 40 + q. List the prime factors of (-2)\/g - (-9408)\/70.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -50.351 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 3*c**2 + 2189*c - 26277. What is k(12)?\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/15 in -2, 3, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 51, -8, -12442, 0 in decreasing order.\nAnswer: 51, 0, -8, -12442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 2, 1932, -5 in increasing order.\nAnswer: -5, 0, 2, 1932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 32988\/19243 + 125*(-2)\/7?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) - (-2 + sqrt(28))) + sqrt(700) + -3 + sqrt(700) + sqrt(7))**2 + (sqrt(112)\/sqrt(4) + 5)*6.\nAnswer: -28*sqrt(7) + 2831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + -5 - (-9 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 2, o: 14, m: 1}. What is prob of picking 2 n and 2 o?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 370*x + 752*x + 8877 + 179638 = 6217*x for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -2 + x + 2*x + 0 - 5. Let b be k(9). Suppose -4*l + 1 = -5*q - 1, 0 = 4*l + 4*q - b. Solve 4*t + z = -29 + 10, 0 = l*z + 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 281085030?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/((l**(1\/3)\/l)\/l))**(2\/87)\/(l**(3\/2)\/((l**2*l)\/l)))**(-27\/4) assuming l is positive.\nAnswer: l**(-879\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -q**2 + 4 - 5 + q + 1.\nAnswer: -q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from noyaaraary. What is prob of sequence ao?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37 and 52\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 86802.06 tonnes in milligrams?\nAnswer: 86802060000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -2*u - 389. Let m(o) = 2*o. Determine m(y(c)).\nAnswer: -4*c - 778","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -206*z + 1485. Let p be d(7). What is the fourth biggest value in -0.4, p, 2\/3, 0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -h**4*i - 3344*h**4 - h**3 - 3*h*i - 2*h - 6*i - 10 wrt h.\nAnswer: -12*h**2*i - 40128*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -213*d**2 + 213*d**2 - 13*d**4 + (d + d - 4*d)*(4*d**3 - 2*d**3 + 0*d**3) - 3*d**4 + 3*d**4 - 2*d**4 as i*d**3 + p*d + h*d**4 + r*d**2 + j and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 2\/3 (b) 2\/239 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 14) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is q in 5*q**2 + 70*q - 735 = 0?\nAnswer: -21, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b be -53 - ((-1 - -1) + -3). Is 23 a factor of ((-276)\/(-10))\/((-15)\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 666221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*s = -5*s + 172. Suppose 5*m - 4*c = -7*c - 33, 4*m = 5*c - 19. Put -1, s, m, 2 in decreasing order.\nAnswer: s, 2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 3 - m)*(-22510*m + 34042*m + 1 - 1) in the form x*m**2 + j*m + d and give x.\nAnswer: -11532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = 54 - 47. Let v(l) = 0*l**3 - 9*l - 4 + 7*l - 5*l**3 - 6*l**2. Let u(c) = -9*c**3 - 11*c**2 - 4*c - 7. Give q*v(y) - 4*u(y).\nAnswer: y**3 + 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -10, 2, -1\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10171001*x**2 + 2*x**3 - 10171001*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1660.7 rounded to the nearest ten?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 0*n = -2. Let v be (n\/2)\/((-3)\/96). Let h be 2*3*v\/12. Which is greater: h or 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -796*w - 8*g = -795*w - 109, 5*w - 6*g = w - 7*g + 312 for w.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 297 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 3*o + 5 = 0, 0 = 3*i - 3*o - 0 - 75. Solve 0 = -5*t + 5 + i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 5*n - 5915 = 0, -4*n + 2178 + 206 = -2*c. Let m be (-1)\/9 + c\/18. Let l = m + 68. Calculate the highest common factor of l and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 426 - 2f?\nAnswer: 3f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -8514 = -398*f - 3*f - 72*f for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) be the second derivative of r**4\/6 - 4*r**3 + 36*r**2 - 2*r. Let w(s) = 0. Calculate s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -243*l*q**2 + 134*l*q - 4417*l - q - 137 wrt q?\nAnswer: -486*l*q + 134*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 824 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -1609*l**2 + 120*l + 2772. Let b(m) = m**2 - 24*m - 1. Let j(z) = 5*b(z) + d(z). Find the first derivative of j(i) wrt i.\nAnswer: -3208*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ll when two letters picked without replacement from {v: 1, y: 1, u: 3, c: 1, x: 3, l: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -183 * 1.35221\nAnswer: -247.45443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k - 3*l = -5, 110*l + 17 = -4*k + 115*l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3361.86353 - -127569.86273. Let k = h + -124254. Let d = -46 - k. Round d to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*x - 3*x + 2*x)*(-7 + 2 + 4) to r*x + q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -3421.2 rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 12394*c - 255059 + 81543 = 0 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 3 + 10 + -2 + (250 - 273)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36030107 is divided by 6005017.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the first derivative of -1\/2*x**2 - 7 + 1\/5*x**5 - 2\/7*x - 5\/21*x**3 + 1\/21*x**6 + 5\/28*x**4. What is d in p(d) = 0?\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1622393 - 0.20422?\nAnswer: -0.3664593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1234 less than or equal to 1232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5 + (-15)\/5)\/(5 + 2 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*q - 12*q**3 - 7*q + 2*q - 2.\nAnswer: -12*q**3 + q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -39882.54 rounded to the nearest 1000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = -6*n + 300. Suppose 135*a**3 - 15518*a**4 - 85*a**2 + 15498*a**4 + 3 - n*a - 3 = 0. What is a?\nAnswer: -1\/4, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13 - 168917*i + 18 - 8 + 3.\nAnswer: -168917*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o - 40 = o. Suppose 5*z + 2 = -o. Let r be 0 + ((-9)\/3 - z). Put r, -3, 4 in ascending order.\nAnswer: -3, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -1\/31?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from opiovrp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g + 2*z + 40 + 16, g - 18 = -3*z. Solve 4*y + 4*b - g = 0, -5*b = -2*y + 6*y - 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 323, 647, 971, 1295?\n\"Answer: 324*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5 - 5.4. Let l = 2 - 1. Which is the closest to l? (a) z (b) -4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -618*d + 610. What is the hundreds digit of j(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-35)*30037\/51492?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h - h - 22 = 5*o, 2*o - 2 = 5*h. Let u be (h\/(-5))\/((96\/(-20))\/4). Which is the third biggest value? (a) 1\/3 (b) 5 (c) u (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 7\/2 of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -4*((-112)\/(-28))\/40*-1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(2\/37)*v\/v**6)**47*(v\/v**(-1))**44\/(((v\/v**(-3\/7))\/v)\/(v*v*v*v**(-6)*v)) assuming v is positive.\nAnswer: v**(-38044\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/5 - 324\/30. Let t(b) = -2*b - 11. Let u be t(l). Let h(r) = 3*r. Let a(w) = -16*w. Determine u*h(y) + 2*a(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -35*p**3 + 13*p**2 - 3*p + 14. Let w(k) = 23*k**3 - 9*k**2 + 2*k - 9. Let n(d) = -7*w(d) - 5*y(d). Find the second derivative of n(r) wrt r.\nAnswer: 84*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20.99 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14056?\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2628 and 21564.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 1.3 * -18\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (421 - 1323 - 544)*(2 - f**2 - 2) in the form b*f**2 + d + l*f and give b.\nAnswer: 1446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/y**(3\/11))\/y*y\/(y**2\/y)*y assuming y is positive.\nAnswer: y**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 341 minutes before 3:24 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 133*g**3 + 56*g**2 - 56*g. Let k(f) = 12*f**3 + 5*f**2 - 5*f. Determine -5*b(t) + 56*k(t).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 21 and 10087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = -5*c. Solve c*v = 2*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 61 a factor of 48189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 149\/54 and -52\/33.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 108.12 + -108. Let o = 1.11 - -0.01. Let m = z - o. What is the second smallest value in 3, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*a - 54*a + 81 = 23. What is the nearest to -1\/4 in 1\/4, 0.1, -10, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 296, 5, 1, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -5*n**3 - 385*n**2 - 100*n + 112. Let i(l) = 2*l**3 + 172*l**2 + 50*l - 56. Let w(t) = 4*h(t) + 9*i(t). Solve w(k) = 0 for k.\nAnswer: -4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/36*39\/(-195)*4380\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10 + 15. Suppose -3*y = -2*i - 10, -4*y - 2 = -0*y + u*i. Let h be -9 + 10 - (-1)\/1. Solve 0 = 2*j - 2*l - 6, h*j + y*l + 5 = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xaaaxaaa. Give prob of picking 2 a and 1 x.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 45.9 plus 874976331?\nAnswer: 874976376.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*u = -4*u - 27. Suppose 10906 = u*o + 4*v + 127, v = -o + 3593. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 19\/22448 and 109\/49776.\nAnswer: 1144848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -h - 14. Let o be (13 - -1)\/(-1) - -2. Let z be f(o). Suppose -l - 4*l = -3*p - 13, 5*l = 4*p + 9. Sort z, -4, l in increasing order.\nAnswer: -4, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**2 + 23*n - 28. Let d be j(16). Does 9 divide (48\/42 + -2)\/((-1)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 15\/(-1) - (26 - 2)\/6. Suppose 2*k + 3*k = -130. Let d = r - k. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-180)\/(-120)*((-1012)\/231 - 2\/7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -16*s + 7*s + 36. Suppose -5*c + 9*c - 149 = -5*u, s*c = -4*u + 120. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*h**3 - 23 - 19 + 58 - 16.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 79 * 2.951.\nAnswer: 233.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7*(7\/(1750\/5))\/((-77)\/22).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -8524\/1505 - -160\/43. What is the common denominator of b and -6\/385?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**2 - 9*a + 32. Let t be d(13). Suppose -2*v - 10 = -t. Solve -4*z + 5*h = v, 0*z = z + 4*h - 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 80 = -2*t. Suppose -835*x + 22723 = -6502. What is the remainder when t is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20.15 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 5272168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-74) - (-5880)\/(-34965)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y\/(y*y\/(((y*y**(2\/15)*y)\/y)\/y))*y**(-2\/15)*(y\/(y\/(y*y**(1\/6))*y)*y)**(-2\/5))**(-42) assuming y is positive.\nAnswer: y**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ouhohoohjohju. Give prob of sequence jh.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 5*r. Let o(j) = 39422*j + 1. What is c(o(f))?\nAnswer: 197110*f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -4*z - 1. Let i(x) = 11*x - 51. Give i(u) + 3*q(u).\nAnswer: -u - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 31 divided by -2?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 51\/13107760 and -1\/18350864.\nAnswer: 91754320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 120*q + 0 + 237*q - 118*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 162b28 (base 14) in base 12?\nAnswer: 3150a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4169 and 5753.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35*q**3 - 27*q**3 + 44*q**3 - 6*q**3.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 942041, 942080, 942125, 942176?\nAnswer: 942233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (2 + 3 + 0 + (1 + 2 - 5)*(10 - 1 - 2))*(4*y - 4*y + 6*y) in the form u + p*y and give p.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 0.4727671m?\nAnswer: 0.0004727671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*l + 2*l - 5*l)*(3 - 1 - 7) + 0*l + 0*l + l + (0*l - l - l)*(-1 - 1 + 1) - 2 - 2 + 3 - 2*l to the form z*l + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vffoxfokfffffex. What is prob of sequence exkv?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 0 bigger than 12\/27599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 409*f**2 - 14*f - 354. Let g(y) = 204*y**2 - 6*y - 177. Let k(j) = 7*g(j) - 3*h(j). Differentiate k(s) wrt s.\nAnswer: 402*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-1*(-4*sqrt(425)*-2 + (1 + sqrt(425))*5 + 1))**2.\nAnswer: 780*sqrt(17) + 71861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -2*x + 10. Suppose -2 + 8 = -k. Let c be d(k). Solve -4*o + c - 2 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z + 3*u + 2 = 20 + 3, 0*u - 2*u = -5*z + 8973 - 8959 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11, 163, 461, 941, 1639?\nAnswer: 2591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -34847 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1\/7 (b) 4 (c) 38 (d) -2\/3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, c: 19}. What is prob of sequence jc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 30*l**4 - l**3 - 76*l**2 + 42456*l.\nAnswer: 360*l**2 - 6*l - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 842.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 552 minutes after 4:58 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:11 AM and 4:11 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 4*a - 11*k + 6*k, -18 = 3*a + 3*k. Calculate the least common multiple of 140\/21 - (-2)\/a and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 - -3215?\nAnswer: 3221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let -4*f**5\/7 + 12*f**4 + 2204*f**3\/7 - 15252*f**2\/7 + 13640*f\/7 + 31008\/7 = 0. What is f?\nAnswer: -19, -1, 3, 4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -54*k + 51*k - 4*h + 26, 2*k = -5*h + 22 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 8251337443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 129*b + 243*b = 38*b - 45*b + 32215 for b.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2997057725?\nAnswer: 5, 119882309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 26 = -4*w + 1, -p + 36 = -5*w. What is the common denominator of 1\/w - 6559\/(-294) and 13\/19?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 6}. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*g + g = -492. Let q = 409 + g. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1183 and 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - -1231837.\nAnswer: 1231840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p + 14. Let z(d) = -d**2 + 2*d + 24. Let m be z(0). Suppose 5*i + 36 = -m. Let c be v(i). Solve l + 5 = -4*t, -t - c*t - 2*l - 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -78 + 81. Solve -2*g - 3*g + 17 = -2*v, -v + 19 = f*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4c - 97?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 122 + -511. Let a = n - -386. Let w = 0.2 + 0.1. What is the third biggest value in a, 5, w, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Divide -6824910 by 1364982.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1196, 1247, 1340, 1475?\n\"Answer: 21*w**2 - 12*w + 1187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.2 (b) -12\/43 (c) 22 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 3, -63, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 7*x - 3. Let m = 4 - 2. Let l be m\/(-1*2)*7. Let a(c) = 11*c - 4. Let p(t) = l*i(t) + 5*a(t). Give p(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6485813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 307, 309, 313, 319, 327, 337, 349?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = -4*s - 6*v - 672, 2*v = 8. What are the prime factors of s\/(-2)*34\/10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -48*f**2 - 19*f - 33. Let x be q(-2). Let g = 200 + x. Sort 18, g, 4 in increasing order.\nAnswer: 4, g, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.5 * 5860\nAnswer: 2930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 8.4666 rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4925\/9 - -547. Which is the nearest to z? (a) -3 (b) -0.019 (c) 2\/17 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z**3\/7 + 15*z**2\/7 + 369*z\/7 - 1215\/7 = 0. What is z?\nAnswer: -15, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -45914, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 276*h = 262*h + 1890. Calculate the remainder when 149 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = 49 + 16. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 2 (b) -3\/22 (c) 3\/4 (d) -511\/3 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -31*l - 1. Let w be r(-1). Let f be -3*(-22)\/w + -3. What is the biggest value in f, -3\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 347 >= 33747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 507 (base 16) to base 11.\nAnswer: a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -103*q - 143*q + 4571910. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -34 = 2*v + 2*g, 5*v - 2215*g + 2216*g = -65 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -90*u = -82*u + 40 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*u**3 - 19290*u**2 + 14032*u - 1097801182 wrt u?\nAnswer: 6*u**2 - 38580*u + 14032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2422668621?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8656965.\nAnswer: 3, 5, 192377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (32\/144 - (-1070)\/(-36))*(611\/39 + -15)?\nAnswer: -59\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -10 + 14. Suppose -3*x - 10 = -j*x. Suppose 0 = 5*g - 20, -4*k + 11*g + 28 = 10*g. What is the lowest common multiple of k and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 626265 is divided by 125229.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l and 1 j when three letters picked without replacement from hhobhlhhjbljbbljjbj?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l = -4*k - 4*l, 16 = 2*k - 2*l. Suppose -2*n = -k*d - 2, -n - 2*n + 7 = -2*d. Solve -3*u + 14 = -d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6419.891 litres in millilitres?\nAnswer: 6419891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 4 + 3113*m.\nAnswer: 3113*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1135553?\nAnswer: 29, 39157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 times 417?\nAnswer: 83.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/576 and -101\/4308768.\nAnswer: 8617536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -0.5293 to two dps.\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((q\/q**(2\/5))\/q)\/q)\/q)**3)**(-2\/81)*((q**(-2\/13))**(-4\/7))**(47\/3) assuming q is positive.\nAnswer: q**(6368\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1083.29 - -1088. Let u = 0.21 - i. Let m = u + 4.2. Which is the closest to 0? (a) m (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -18*k**2 + 10*k**3 + 301*k + 58*k**2 + 265*k - 644*k wrt k?\nAnswer: 60*k + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(440)\/sqrt(90)*-5*2)**2 + -1.\nAnswer: 4391\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = k + f + 5, -4*f - 13 = k. Let c be (-1 + (-2)\/1)\/k. Solve p + c = q, -5*p - 3*q + 5*q = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3027936.\nAnswer: 2, 3, 31541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 850 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 36 and (-769)\/(-8) + 31\/(-248).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:11 PM and 11:43 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -155, -1703, -4275, -7865, -12467?\nAnswer: -18075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -502, -521, -540, -559?\n\"Answer: -19*i - 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6.8 + -6.4. What is the second biggest value in d, -4\/5, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 26 in -1\/4, -3, -38, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2 + -25445?\nAnswer: -25447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(22)\/(sqrt(22)\/sqrt(2)) + -2.\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 3*v - 39 = 0, n + 4*v - 16 = -0*n. Let s be ((-4)\/28)\/(4\/(-308)). Is s at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -351, -713, -1089, -1485, -1907, -2361?\nAnswer: -2853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10)\/((-450)\/27)*1810\/54843?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (2 + 1 - 4)*(-1 - 6 + 1)*(-43*z**4 + 16*z**3 - 16*z**3) in the form s*z**2 + i*z**4 + f*z + b*z**3 + q and give i.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 19*p**2 - 19*p**2 + 0*p + 5*p**4 + 39*p**2 - 2*p**3 + 5*p**4 - 5*p to the form k*p**2 + q*p**3 + j + a*p**4 + h*p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 4*p + 11 = 0, -2*i + 6*p - p = -17. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 54867 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 525657901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -4\/847 and -71\/462.\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:37 PM and 9:36 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.17 and -7.5.\nAnswer: -7.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 13*v + 123. Let c(i) = i**3 + 8*i**2 - 11*i - 10. Determine c(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 1, m: 1, c: 4, v: 1, p: 3, x: 2}. What is prob of picking 2 x, 1 m, and 1 c?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*y - 3*y**3 + 134 + 10224*y**2 + 659*y**2 - 10*y.\nAnswer: -3*y**3 + 10883*y**2 + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1740, 1920, 2220, 2640?\nAnswer: 3180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -u - 5*b - 5, 5*u = -b - 3*b + 38. Suppose 112 + 798 = u*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that -2*l**4\/9 - 12700*l**3\/9 + 7731032*l**2\/9 + 46779580*l\/9 + 13011950\/3 = 0.\nAnswer: -6909, -5, -1, 565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 divided by -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the second derivative of r**4\/6 - 17*r. Let h(g) = -6*g - g - 2*g. What is h(i(a))?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 89 + 2f?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2275*f - 2281*f = -5616. Is f a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 8 - 36. Let f = c + 32. What is the fourth smallest value in -0.3, 0.2, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1 + 9\/3 - (7 + -3). Let l(g) be the second derivative of 1\/165*g**6 + 0*g**2 + 0*g**5 + 2*g - 1\/66*g**4 + w + 0*g**3. Suppose l(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pvvv when four letters picked without replacement from {v: 6, p: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in -5, 3\/4, 2, 176?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put together -1 and -1.290267.\nAnswer: -2.290267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 190.9999903 - 191. What is r rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -170 - (-297 + 121) - (4 - 6 - (0 + -23)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2959 is divided by 88?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 28762011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1987 at least as big as 41710\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8111 = -4*z + 3*w, 0 = -0*w - w - 1. Let o = -1053 + z. List the prime factors of o.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.03? (a) 0.204 (b) 1 (c) -1\/5 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*n**5*u + 9*n**2*r - 26318*n**2*u**3 + 522*n*r*u**3 - 3344*n*r*u**2 + n*r wrt n.\nAnswer: 60*n**3*u + 18*r - 52636*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -24*d**2 - 3*d + 28. Let t(j) = j**2 - j + 1. Let i(m) = -g(m) + 3*t(m). Differentiate i(w) with respect to w.\nAnswer: 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 255 or -3\/2?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 19\/80 and 39\/50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 3 = d, 5*d - 2*d = 2*o + 9. Let p = -1 - o. Let g be (-135)\/(-7) - (p + (-27)\/(-21)). Solve 4*c = 3*x - g, -3*c - 5*x - 7 = -0*x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -442*f**4 - 372*f**3 + 194*f - 81517221.\nAnswer: -1768*f**3 - 1116*f**2 + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 73 less than 385548\/5231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*c**2 + c - 218 with respect to c.\nAnswer: -4*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 5*v = 6, -9 = -f + 2*f + 4*v. Let c(u) = 2 + 5*u - u - 2*u**2 - u**f + 3*u**2. Let o be c(-3). Calculate the highest common factor of o and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -c7 - 63?\nAnswer: -15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-4)\/6 - (-6)\/9)\/2. Solve -4*y - y = j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -38*u + 943. Let q(z) = -z. Give q(k(a)).\nAnswer: 38*a - 943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 883.6177 millennia in decades?\nAnswer: 88361.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (9 - 0) + 64 + -72.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -782940317\/1128 + 2082302\/3. Let o = y + -36\/47. Let t = 11055\/14 - 782. What is the common denominator of t and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2636 + -1719243.1.\nAnswer: -1716607.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 2*p**2 - 2*p + 4. Let l be k(-6). Suppose 0 = -2*u - u + 33. Calculate the greatest common divisor of l and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.02113 - 0.0215032. What is i rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 391 is divided by (160 - -107) + 2*(52\/8 - 3)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 31 = -3*v + 37, -5*v - 60 = -2*p. Let g be 6\/(-10)*(-5100)\/p. Let q = g + -74. Is q a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5.71, 5, -0.4?\nAnswer: 5.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1010960774 to the nearest integer?\nAnswer: 31796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -969*a + 2*i = -1940*a + 970*a + 28, -4*i = -3*a - 46 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1269985097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1593206?\nAnswer: 2, 17, 47, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2\/31, 2\/181, -5, -2\/5, -0.2, -1\/11, 0?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 0*z + 3*z + 135 = 0, 0 = 2*a - 3*z - 63. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1 + -4 + 70\/28. Suppose x - 4*b = -1, -2 = -4*x - 5*b + 15. What is the nearest to -0.08 in x, -2\/17, p?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 194, 196, 198, 200, 202, 204?\n\"Answer: 2*y + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 62 and 540919?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 5\/3 (b) 3\/4 (c) -3 (d) 1\/13 (e) 5 (f) -74 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from forokfroo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 89384041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is (4*-1)\/(460\/(-1596085)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that 18*x**2 + 212*x - 48 = 0.\nAnswer: -12, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21097.\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*z = 9041 - 9041 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 277 - -346?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 24634 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: Simplify -5 + -5 + (sqrt(12)\/(-2*sqrt(8)\/sqrt(4) - sqrt(2)))\/((sqrt(3) + (1*sqrt(6))\/sqrt(2))*1).\nAnswer: -10 - sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -993, 3 in increasing order.\nAnswer: -993, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = 9811 + -6409. Is a a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-10)\/(-6))\/(((-177)\/118)\/((-9)\/2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 465864?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor k**3 + 56*k**2\/5 + 11*k\/5.\nAnswer: k*(k + 11)*(5*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 22 - 9 + 10 + 13*y + 5 - 12*y. Give g(17).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -40 + 40. Suppose 3*o = -0*o + 2*j, q = 5*o - j - 7. Suppose 0*l + o*l - 170 = -3*z, z = 3*l - 233. List the prime factors of l.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the first derivative of -2*d**7\/21 + d**3\/3 - 2*d - 5. Let q(o) be the first derivative of u(o). Find the second derivative of q(k) wrt k.\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.3702295 millennia to years.\nAnswer: 370.2295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20\/(-8)*((-54)\/12)\/(30\/(-56))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -10 (b) -1\/2 (c) 1\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.3423 + -0.3723. Which is the fourth smallest value? (a) -1\/50 (b) s (c) -5\/6 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 2 - 210*j + 200*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1\/4 (b) -5 (c) -7 (d) -1\/2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + ((-1 + sqrt(1100))*-6 - (sqrt(1100) + 3 + sqrt(1100)*-2)))**2.\nAnswer: -200*sqrt(11) + 27504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 8 + 14. Suppose -b + s + 9 = 3*m, -12 = -3*b. Solve -m*y + 10 = -4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 3*c - 18. Let i = 369 + -369. Let g be (2\/6)\/((-1)\/(-9)). Solve i*q - g = c*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 33.37295 litres to millilitres.\nAnswer: 33372.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1624 or -4\/7?\nAnswer: -1624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3775*v + 3753*v = 63 - 217 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4763*p - 28599 - 10843 = 112974 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 20046, 80187, 180422, 320751?\nAnswer: 501174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = -2*q. Suppose q = -4*b + 4*s - 34 - 2, 5*b = -4*s. Let l be 2 + b*9\/(-12). Solve -5*v - 2*p = -4*p, l*v = -4*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -8*u - 33. Let a be x(11). Let y = -28 - a. List the prime factors of y.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -42 + -152?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**3 - 7*y**2 - 21*y + 11. Let k be z(-10). Let i be ((-1)\/2)\/(-3 + (-1061)\/(-354)). Suppose i = -2*p - 4*n + k, 0 = -5*n - 25. Is 26 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2 + 1)*(-2)\/(-3). Suppose 0 = -l + k + 3, 0 = 2*u + 3*l - 155. Find the common denominator of -5\/9 and (4\/u)\/((-1)\/20).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -140 times 0.23\nAnswer: -32.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1733368 (b) -4\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3 and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*s - 8*s = -16*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/6)\/(15\/9).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -4*u**3 - 10*u - 433. Let j(m) = 3*m**3 + 5*m + 438. Calculate 3*j(h) + 2*k(h).\nAnswer: h**3 - 5*h + 448","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 35*d**4 - 2*d**3 - 9*d**2 + 211467*d.\nAnswer: 420*d**2 - 12*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -454434*r**3 + 445*r**2 - 890*r. Let d(g) = -2047*g**3 + 2*g**2 - 4*g. What is 445*d(x) - 2*i(x)?\nAnswer: -2047*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 7*y**2. Let o(q) be the second derivative of -q**4\/4 - q**3\/3 + q**2 - 6*q. Let t(g) = -4*g**2 - 3*g + 3. Let z(l) = 3*o(l) - 2*t(l). Give z(p(j)).\nAnswer: -49*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 265 divide 36781735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u**2 + 5*u + 5. Let k be j(-5). Let q = k - 4. Does 8 divide (q - -18)\/(4 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fqqqfqqqfqff?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4349184364 to the nearest integer?\nAnswer: 65948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -l**3 - 48*l**2 + 102*l + 105. Calculate the least common multiple of 50 and g(-50).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 + 1)*(4*l - 4*l - 2*l) + 4 + 5*l - 4 + (-2 + 2 - 2)*(-2*l + 2*l + l) - 4*l + 2*l + l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -13600*m - 3454392. What is g(-254)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 17540 and 80.\nAnswer: 70160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 722620916.\nAnswer: 2, 180655229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*y - y**2 - 5*y + 2*y**2 + 78.\nAnswer: y**2 + 4*y + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 26 = -6*k + 4*y, -2*k - 4*y = 42. Let o = k - -19. Calculate the highest common factor of 4 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 227*-186295.\nAnswer: -42288965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 16*y**2 + 299*y\/2 - 510.\nAnswer: (y + 12)*(32*y - 85)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**2 + 7*i - 4. Let o be y(6). Find the first derivative of o - 4 + 2*f**4 + 4 wrt f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 5*i**2 + 23*i - 5. Calculate t(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:01 AM and 8:09 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 5661, 8605, 13511, 20379, 29209, 40001, 52755?\n\"Answer: 981*j**2 + j + 4679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2561415\/7 or 365917?\nAnswer: 365917","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let u be (2 - 1 - 1) + 2. Let j(k) = -19*k - 110. Let y be j(-6). Suppose -3*r + b + 27 = -y*b, -2*r = -b - 11. Solve u*v = r - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 16743 + -15633. What is the remainder when z is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 23*c**2 - 88*c - 1163. Let j(u) = -11*u**2 + 43*u + 582. Let v(b) = 7*j(b) + 3*m(b). What is the derivative of v(o) wrt o?\nAnswer: -16*o + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -27\/2656 and 137\/311520?\nAnswer: 25856160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*a**2 + 5*a - 5*a + (-2*a - 1 + 1)*(-5 + 5 - 2*a) + a**2 + 5*a**2 - 4*a**2 + 36*a**2 - 187*a**2 + 63*a**2 - a**2 - 3*a**2 + 2*a**2.\nAnswer: -86*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -218 - -340. What is the second derivative of 4 + 7 - 140*z**5 - o*z + 22*z**5 - 11 wrt z?\nAnswer: -2360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*r**5 + 4*r**5 - r**5)*(-4 - 4 + 4) + r**5 + 2*r**5 + r**5 + (-3 - 2 + 4)*(0*r**4 + 0*r**4 + 2*r**5).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-233)\/(-2) + (52\/8 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 12 - 10. Let a(k) = 3*k**2 - k**2 - 5*k**o. Let d(m) = 0 - 2*m**2 + 0. Calculate a(d(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ssrsrrsssssssssrssss. Give prob of picking 1 s and 1 r.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 291 (base 13) to base 16.\nAnswer: 1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3665 is divided by 77.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(1377) - (sqrt(1377) + (sqrt(1377)*-1)**2))*-4 + 2*sqrt(612) + (sqrt(1088)*-6)**2.\nAnswer: 12*sqrt(17) + 44679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 9917520 by -1720.\nAnswer: -5766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.153288 and -2?\nAnswer: -0.306576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31000 divided by -40.\nAnswer: -775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4)\/(-10)*(5 - 0). Suppose -l*h = -73 - 5. Suppose -4*b - 2*o + 75 + 23 = 0, -2*b + 4*o + 64 = 0. What is the highest common factor of b and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 2*z + 4. Suppose -3 = -t + 2*x, t - 6*t + 5*x + 15 = 0. Calculate o(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3174761 (base 8) to base 12.\nAnswer: -350181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -5, 32451 in ascending order.\nAnswer: -5, -1, 32451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 4087436797 to the power of 1\/2, to the nearest integer?\nAnswer: 63933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 218513568 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ejxbxbx. What is prob of sequence bej?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find o such that -o**4\/6 + 22*o**3 - 968*o**2 + 53240*o\/3 - 117128 = 0.\nAnswer: 22, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0375 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = -77\/47 - 6571\/235. Do l and -30 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3405731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2236 - 1642. Calculate the highest common factor of v and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2000330021 (base 5) to base 15.\nAnswer: -525b26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 86*c - 25 = 81*c. Suppose c*j = -4*b + 8, -5*b + 7 = 3*j - 3. Solve -3*g = x - 0 + 2, b*x = 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 19387, 155096, 523425, 1240684, 2423183, 4187232, 6649141, 9925220?\nAnswer: 14131779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -63*o = -3*x - 60*o + 12, -2*o = -4*x + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-6)*x)**(-2)*(x*x\/((x*x**6)\/x))\/((((x\/(x**(-2\/33)*x*x))\/x*x)\/x)\/x*x))**34 assuming x is positive.\nAnswer: x**(8908\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 89551.62 to the nearest 100.\nAnswer: 89600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*n - n + n)*(-21*n - 1 - 1 + 24*n).\nAnswer: -9*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 32811284 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 10818*z**2 - 5408*z**2 + 16*z + 25 - 5409*z**2 as i*z + o*z**2 + l and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -535 - -535. Suppose s = 4*d - 191 + 183. Solve 3*l + 0*a - 4 = -d*a, -5*a + 25 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-30)\/(-14)*(-2)\/(-5)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -3278965 <= -3278973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -3\/4, -4, 2\/33 in descending order.\nAnswer: 0.4, 2\/33, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be (13 + -1)*(-2)\/4. Let a be 2\/(-3)*r\/2. Let i be a*(-10)\/4*-1. Solve i*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 115, 23, -485, -1607, -3541, -6485, -10637, -16195?\nAnswer: -23357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ggfgvszvxgxgf. What is prob of picking 1 x, 1 s, and 1 v?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 19\/4 and ((-1080)\/(-215) + -5)*(-4 + (-186)\/(-48)).\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 44, 50, 58, 68?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2325\/30 + 1\/2*-1 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -39, 2, -103, 0, -9, -5 in descending order.\nAnswer: 2, 0, -5, -9, -39, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*c**4*p - c + 82*p + 16 wrt c?\nAnswer: -8*c**3*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -1219, -421, -1 in increasing order.\nAnswer: -1219, -421, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -26530405.55999962 + 26530374.56. Let w = 31 + m. Round w to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yff when three letters picked without replacement from fffffyyffyyfyyfffff?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = -345 + 824. Let u = -20662.53589 - -20183.54. Let d = c + u. What is d rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -29*j + 279. Let g(r) = 11*r - 93. Determine 8*g(c) + 3*l(c).\nAnswer: c + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 96770 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 620896661 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) -8 (b) -1348 (c) 1\/6 (d) 0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qhoonyhnonynyxnhxyn. Give prob of sequence no.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 774*g**4*m + 106*g**4 + 9*g**2*m - 11*g**2 - 24*g + m wrt g.\nAnswer: 18576*g*m + 2544*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -124 - -55 - -6 - -49.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 343, -6\/5, -2\/189, 0.08 in ascending order.\nAnswer: -6\/5, -2\/189, 0.08, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 195*f**3 - 159*f**2 wrt f?\nAnswer: 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -46744773800 rounded to the nearest 1000000?\nAnswer: -46745000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12 - -17) + -3 - 17?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the second derivative of 19*s**5\/20 + s**4\/6 - s**3\/6 + 6*s. Let l be n(1). Solve 0 = 2*v - 0*v - 4*q + l, -5*q = -2*v - 23 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -5*r**2 + 27*r - 4. Let o be n(5). Let h(y) = y. Let g(l) = 5*l. Let z(w) = -g(w) + 6*h(w). What is z(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nvdd when four letters picked without replacement from vdvknknvd.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3 + -660083?\nAnswer: -660080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 52724341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = -4*p + 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -21.83 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -8\/9, -0.2, -25 in ascending order.\nAnswer: -25, -8\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -11000000011000110 (base 2) to base 12.\nAnswer: -49006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -5172700720 and 0.1?\nAnswer: 5172700720.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-25 + -1 + 4 - -33) + 1 + 19.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 3, f: 3, m: 1, r: 3, g: 6}. What is prob of picking 2 g, 1 i, and 1 f?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 690 and 1265?\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -b + 193. Suppose -s = -4*z + 191, 2*z + b = 6*z - 4*s. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -111.93+3\nAnswer: -108.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) be the first derivative of 649*g**4\/4 + 423*g + 457. Find the first derivative of x(b) wrt b.\nAnswer: 1947*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:11 AM and 2:45 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/(-2*2\/4). Suppose 2*x + z*x + d = -515997, -4*x - 3*d = 515991. What is x rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1498321871.\nAnswer: 67, 22363013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -5*z**3 - 25*z**2 - 14*z - 57. Let x be f(-5). Solve 20*m + 13 = 23*m - 4*g, 5*m - x = -2*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8481 is divided by 1211?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 5, 51, 0.4, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c - 11*c - 7*c = -98 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 61064 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f be (42\/8)\/3 - (-7)\/28. Suppose -2*q + 2*r - 6 = 0, -1 = -2*q - f*r + 9. What are the prime factors of 46\/3*((-2)\/(-4) + q)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 323 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -8036944, -16073892, -24110842, -32147794, -40184748, -48221704, -56258662?\n\"Answer: -l**2 - 8036945*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -3 times -3026.571?\nAnswer: 9079.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -50656, -101380, -152114, -202864, -253636, -304436?\n\"Answer: -o**3 + o**2 - 50720*o + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 21201120101222 (base 3) in base 9?\nAnswer: 7646358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3865 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 659180293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(153) + 1 + -2.\nAnswer: -1 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3544155 and 20419?\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 3*p**2 - 7*p - 3. Let f(i) = -4*i**2 + 8*i + 3. Let r(z) = 4*f(z) + 5*v(z). Let q(n) = -n - 1. What is -3*q(x) + r(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -459 * 0.15\nAnswer: -68.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 107*o + 2169 = 885 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -r. Let u(n) = 6*n + 2. Let x(d) = -3*u(d) - 21*z(d). Let a be x(3). Factor -6*b**2 - 3*b + 0 - 3\/4*b**4 - 15\/4*b**a.\nAnswer: -3*b*(b + 1)*(b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 82, 79, 68, 43, -2, -73, -176, -317?\n\"Answer: -u**3 + 2*u**2 - 2*u + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are 477225 and 477223 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 7766.852 tonnes in micrograms?\nAnswer: 7766852000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(104)*-1*1)\/(sqrt(512)*2).\nAnswer: -sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*l - 35 - 5. Solve 25 = 3*d + 4*z, -d = l*z - 24 + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -8, -13, -18?\n\"Answer: -5*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, i: 1, k: 2, y: 2, u: 1, f: 2}. What is prob of sequence ff?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 2*r + 9. Let s be i(9). Suppose -4*u + 17 = 4*p - s, -5*p = -5. Which is greater: u or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -37721552489 and -16.5.\nAnswer: -37721552505.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve k - 5*r - 7 = 0, 1176*r + 9 = k + 1172*r for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 32425353739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 8 = 3*j, -2*j + 1 = b - 3. Let o(h) = -11*h**2 + 4*h. Let y(v) = 5*v**2 - 2*v. Suppose -2*z - 7 = -25. Let q(a) = j*o(a) + z*y(a). Factor q(s).\nAnswer: s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 980a7 (base 13) in base 7?\nAnswer: 2223025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -15296?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*s + 54 + 98 = -135. Solve s*n - 20*n - 52 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2003 = -8*k + 164 + 1249. Calculate the greatest common factor of k and 244.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 8*p - 16. Suppose 0 = 2*q + 3*u - 29, -3*q = -6*q + u + 38. Let i be z(q). Suppose b = 3*b - i. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8 - 28\/3. Suppose 16*n - 32 = 8*n. Suppose -5*g - 8 = -c, g + 14 = 3*c + n. Are a and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -372944.2514 - 844?\nAnswer: -373788.2514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 49348265, 98696532, 148044799, 197393066, 246741333, 296089600?\n\"Answer: 49348267*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1264, -2572, -3878, -5182, -6484, -7784, -9082?\n\"Answer: o**2 - 1311*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 418.1348ug to grams.\nAnswer: 0.0004181348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yqyyyyyyqyyqqyyyqyy.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(1584) + sqrt(1584) + 0 + -2*sqrt(1584) + 4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13850 is divided by 51?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 - 2)*(-3 + 2*m + 3)*(-13*m**2 + 4*m**2 - 29*m**2 + 0*m**2 + 4*m**2 - 5*m**2 + (0*m - 3*m + m)*(-2*m + 2*m + m)).\nAnswer: 246*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 2*h = -4, -5*h = 1 + 14. Let x be (5 - 30)\/(-5) + a*1. Solve q + 0*q + 4 = x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 12*i**2 - 165*i + 1283. Calculate a(8).\nAnswer: 731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s = 3*s, o - 94 = -3*s. Calculate the remainder when o is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 847466630 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + 2 - (-3 - -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2 and -68.7.\nAnswer: -137.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 53020*v + 9. Let z(b) = b. Calculate k(z(u)).\nAnswer: 53020*u + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -886848 divided by -149\nAnswer: 5952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1236647, -1236648, -1236649, -1236650, -1236651?\nAnswer: -1236652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 60 (b) -285638 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be (6\/5)\/(4\/10). Suppose -n = -x*n - 8. Let y(z) = -z - 1. Let c be y(n). Solve 9 = c*u - 2*u + 2*l, -5*l - 5 = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 361*x - 356*x - r + 15 = 0, 2*x + r - 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -39620 - 5*o**3 - o**3 + 3*o**3 + 39620.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*b**3 + 5 - 5)*(1091 - 187 + 425 + 1968) to the form c*b**3 + s + d*b**2 + w*b and give c.\nAnswer: -9891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 1.9 (b) 2.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the first derivative of b**6\/30 + 2*b**5\/25 - b**4\/2 - 8*b**3\/15 + 33*b**2\/10 - 18*b\/5 + 62. Determine o so that l(o) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2032?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**2\/19 - 1649262*w\/19 - 6597080\/19.\nAnswer: 2*(w - 824635)*(w + 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58*n = 585*n + 2768 - 6984. Let p(f) = f**3 - 11*f**2 + 9*f - 16. Calculate p(n).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14690.742 months in decades?\nAnswer: 122.42285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hqh when three letters picked without replacement from {q: 2, h: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = 102 - 50. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 43*v + 5. Let k(t) = 57*t + 7. Let s(q) = -3*k(q) + 4*m(q). Let x(i) = 4*i + 1. Give -3*s(n) - x(n).\nAnswer: -7*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:23 PM and 5:45 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 451, 889, 1327, 1771, 2227, 2701?\n\"Answer: x**3 - 6*x**2 + 449*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -48 - -50. Suppose -l = -o*l + 119. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*z - 14 + 6*z - 65.\nAnswer: z - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10606, -10756, -10958, -11212?\nAnswer: -11518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -769884?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 28 - 24. Solve -2*k + 2 = -z, -3*z = z - f*k + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 63*s**3 + 91*s**3 - 152*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 2, h: 3}. Give prob of sequence khhk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 303\/(-101)*-5*(-2)\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3*u**3 + 204966*u**2 + 20*u + 606580568 wrt u?\nAnswer: -9*u**2 + 409932*u + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:18 PM and 8:13 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is (10 + 1 + 0)\/(15\/2100) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2 - 4. Let w = 4 - 10. Let i = -1 - w. What is the second biggest value in a, i, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 31 - 34. Let y = 1.7 - 2. Let a = y - -0.4. What is the biggest value in u, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -3215728.0426843 - -0.5.\nAnswer: -3215727.5426843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-1))**19\/(y*y**(-1\/4))**(-13) assuming y is positive.\nAnswer: y**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 860 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 1\/11, 1, 14.55, -6, -4 in decreasing order.\nAnswer: 14.55, 1, 1\/11, -4, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that 5*v**3 + 7*v**3 + 2*v**4 + 2*v**2 - 3*v - 5*v**3 = 0.\nAnswer: -3, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-9)\/(k*k**(-2\/5)\/k)*k**(1\/4)*k**(-3\/2))**(1\/10) assuming k is positive.\nAnswer: k**(-197\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d - 24 = 2*d. Let i = -2 - -4. Let f(u) = -d*u + i*u + 1 - u. Give f(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 56*v**3 - 3*v**2. Let s(d) = -8122*d**3 + 434*d**2. Calculate 3*s(a) + 434*w(a).\nAnswer: -62*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - (10 - (10 + 7))) + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -9*g**2. Let v(p) = -5*p**2 - 2. What is i(v(m))?\nAnswer: -225*m**4 - 180*m**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4708 + -4701. Suppose 37 = 3*p - 2. What is the remainder when p is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11 - -19. Let t be 2\/(-9) + (-194)\/18. Let p = 25 + t. What is the remainder when p is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/5*h**2 - 2\/5*h - 8.\nAnswer: 2*(h - 5)*(h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 109381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -456*v**5 + 893*v**2 - 4 + 301*v - 760*v**5 - 579*v + 278*v wrt v.\nAnswer: -72960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.01 - -0.49. Let b = 6 - 6.4. What is the second smallest value in -4, m, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42*g - 25*g - 21*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f be 192\/15*(-6 - -46). Let h be (-1)\/((-4)\/f)*1. Let q = -84 + h. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 161430 divided by 6.\nAnswer: 26905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3 + -5. Let s(f) = -3*f**3 - 2*f**2 - 2*f. Suppose -5*j = 2*t - 4*t + 18, 5*t - 62 = 4*j. What is the lowest common multiple of t and s(p)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -237*k = -140*k - 582 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**3 + 19*l**2 + 18*l - 5. Calculate h(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -1849*h = -2382*h - 2918*h - 209347 + 2287 for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 45 and 3285?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1306993243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes before 8:34 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3 + 2. Let s = k - -3. Let b(q) = 2*q**2 - q - 2. Calculate b(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*u - 7 + 15. Suppose u = 5*d - 36. Factor -d*n**2 + n**3 - 5*n**3 - 16*n**3.\nAnswer: -4*n**2*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) be the first derivative of 27\/4*f**2 + 3*f + 7\/2*f**3 + 179. Factor d(b).\nAnswer: 3*(b + 1)*(7*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 160995 is divided by 6994.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 + 0\/(-2))*((-34265)\/39160 - (-670)\/656)?\nAnswer: 12\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor q**5 - 57*q**4 + 1117*q**3 - 8151*q**2 + 12274*q.\nAnswer: q*(q - 19)**2*(q - 17)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 108240 and 2970.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 5*k**2 + 674*k + 510. What is m(-134)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x + 3*j + 69 = 0, -31*x + 54 = -28*x - 3*j for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/6 + 38\/(-6). Let y be (2 + w)*(-1)\/18. Let l = -0.2 + 0.3. Which is the second smallest value? (a) y (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 16*((-1296)\/588 + 2). Which is greater: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.83 + -0.782. Let x = t + -0.073. Let p = -1.975 + x. Sort -0.5, p, -2\/3 in increasing order.\nAnswer: p, -2\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 6\/13 and -13913.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*g + 48*g + 14 = -2*c, 0 = 3*c + 3*g + 27 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 3 + 0*z - 4*z - 1 + 3*z. Let b be i(-1). List the prime factors of 6\/(-10)*(-10)\/b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 571154206 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Subtract -231 from 3017.\nAnswer: 3248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(2\/27)*m*m*((m\/m**(-23))\/m*m)\/m*m)\/(m**(-3\/4)\/m)**(5\/11) assuming m is positive.\nAnswer: m**(31921\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = 270 + -269. Is (q - -2)\/(12 + -15) + 13064 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - s = -6*s + 133, d - s = 55. What is the greatest common divisor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 4 - 4*v**2 + v**3 - 5*v + 8*v - 6*v. Is m(6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-12)\/(-21))\/(5\/7). What is the second biggest value in -1, h, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -110020102 (base 3) to base 12.\nAnswer: -51b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4897672847\/4358 - 1123835. Calculate the common denominator of i and 21\/10.\nAnswer: 21790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 241 and 85523429.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*h**2 + h**2 + 0*h**2)*(-4 + 4 - 2) + (4 - 2 + 0)*(0*h**2 - 2 + 2*h**2 - h**2) to c + z*h + d*h**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) be the third derivative of -1\/160*n**6 + 1\/32*n**4 - 4*n**2 + 0 - 1\/24*n**3 - 1\/240*n**5 + 0*n + 1\/420*n**7. Factor s(t).\nAnswer: (t - 1)**2*(t + 1)*(2*t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(2160)*-2)\/sqrt(2))\/(6*-1*sqrt(250))*-3)**2.\nAnswer: 108\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7750 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (17\/(663\/(-65)))\/((-15)\/126).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 117 - 352 + 1569 = 5*m + 41*m for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, p: 4, z: 1, v: 2}. What is prob of sequence ve?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 4*h**3 - 11*h**2 + 8*h - 4. Let a(m) = -6*m**3 + 17*m**2 - 12*m + 6. Let t(s) = -5*a(s) - 8*i(s). Let p be 2\/(-6) - 42\/(-18). Give t(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.024 and -785.\nAnswer: 18.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 4*t + 0*t - 16 = 0, -5*a - t + 32 = 0. Let k(q) = -q**2 - 14*q - 37. Let b be k(-7). Calculate the greatest common factor of b and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 1 - 2)*(-a + a + 2*a**2) + a - 5*a**2 - a + a**2 - 3*a**2 - a**2 - a**2 + 5*a**2 - 3*a**2 + (6*a**2 + 4*a**2 + 10*a**2)*(3 - 3 - 1).\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -11*w**3 - 4*w**2 - 3*w - 4. Let v be q(-2). Suppose -255 = -2*g - b, -4*b + v = 3*g - 316. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gkkkmkjgk. What is prob of picking 1 j and 3 k?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5720 and 10296.\nAnswer: 51480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -136958867*j**3*s - 470032253*j**3 wrt s.\nAnswer: -136958867*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 919424100 rounded to the nearest 1000000?\nAnswer: 919000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -980ae5 (base 15) to base 3\nAnswer: -111121220221022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -545, -501, -455, -431, -453, -545, -731, -1035?\n\"Answer: -4*x**3 + 25*x**2 - 3*x - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*2*sqrt(208)*2*-4.\nAnswer: 128*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 45\/59 and 27\/62426.\nAnswer: 3683134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -4*k + 1. Let d be 0 + 2 + 4 + -3 - 5. Suppose 0 = n + 9 - 8. Let t(q) = q - 1. Give d*t(w) + n*x(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(405) - -2*2*sqrt(405)) + 5)**2 - (-6*(0 + sqrt(5)) + sqrt(5) + sqrt(5) + ((sqrt(5) + sqrt(5)*3 - sqrt(5)) + sqrt(5) + -1)**2).\nAnswer: 462*sqrt(5) + 10069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-189)\/(-12) + (-21)\/28. Suppose 11*h - n*h = -9928. Let b = -705 + h. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 684519 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f = 3*f - 9. Suppose -5*b + 234 = f*k, -3*b + 4*k = -5*b + 88. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -59553*j**2 - 26*j + 27. Let d be m(9). What is d rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence idei when four letters picked without replacement from idddiiijeidiiiiii.\nAnswer: 11\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -131086*v**3 - 3 - 21 + 131088*v**3.\nAnswer: 2*v**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -3*h**3 - 4*h**2 + 8*h + 2. Let u be k(-4). Let v = u + -101. Is 1*-129*((-8)\/2 - v) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 463.8225 millennia?\nAnswer: 463822.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 10 = -6*y. Let b be (-2)\/(-4) + 33\/22. Suppose 18 = b*z + 2*o, y*z + 4*o - 13 = o. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -3, 1.632, -40?\nAnswer: 1.632","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.48 + 37.52. Let n = -38.0000053 + x. Round n to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*y**3\/2 - 15*y**2 + 741*y\/2 + 4056.\nAnswer: -3*(y - 16)*(y + 13)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -253089683971 + 0.4.\nAnswer: -253089683970.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -91? (a) -0.2 (b) 11\/6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.148345 rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 3*r**2 + 10*r. Let t(j) = -j. Let a(d) = -10*d**2 - 33*d + 1. Let w(f) = -a(f) + 2*t(f). Let q(h) = 7*g(h) - 2*w(h). Is q(6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 31 (base 12) to base 2\nAnswer: 100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q - 206 = 3*c - 233, -4*c = 9*q - 56 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-10)\/(-15) - -5*83\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*o + 50*o = -89*o + 118700442. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 764422, 1528852, 2293282, 3057712, 3822142, 4586572?\n\"Answer: 764430*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*c + 7*c + 9. Calculate the lowest common multiple of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 33.85 - 32.6. What is the biggest value in v, 1\/6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 36 (base 7) to base 15.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -9.4372 - -10.4372. Let t be (1 + 5)\/(0 - -2). Which is the nearest to 0? (a) t (b) 5\/19 (c) 2\/13 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -j**4 + 50*j + 127?\nAnswer: -4*j**3 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -15507 + 15525. Suppose -3*u = -4*t - 0*t + 147, 0 = -2*t - 4*u + 68. Calculate the highest common factor of b and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 3*c**3 + 12*c**2 + 13*c + 45. Let t be a(-10). Let i = t + 3000. Is i 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 6:25 PM and 4:32 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 206*d + 200*d - 409*d + 671190000 = 0. What is d rounded to the nearest 1000000?\nAnswer: 224000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**(17\/6))\/(g\/((g*g**(-29))\/g*g)*g) assuming g is positive.\nAnswer: g**(-191\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1442?\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-120)\/(-3) - -2 - -9. What is the highest common factor of t and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -112 (base 6) to base 16.\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -55*c. Let p(m) = 14111*m**2. What is p(s(x))?\nAnswer: 42685775*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -289, -503, -589, -487, -137, 521, 1547?\nAnswer: 3001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 90, 77, 60, 39, 14, -15, -48?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + u + 1 - 2)*(-1 + 3 + 0)*(4 + 0 - 2) + 102*u - 1811*u - 256*u as s*u + c and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = -112.224 + 0.224. Which is greater: n or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 1. Let b(p) = 31*p**2 - 2*p - 1. Let u(t) = b(t) + 3*l(t). Let z be -5*(-8)\/60*6. Let f be u(z). Round f to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -65 + 2\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4159.\nAnswer: 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 23, -2, -3, 11, -7.\nAnswer: -7, -3, -2, 11, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.023 and 811.\nAnswer: 18.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 117, 120, 123, 126, 129?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3042)\/(-4563)*(-14)\/4?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -15, 64, -2, 36, 3 in descending order.\nAnswer: 64, 36, 3, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1972551, 7890349, 17753353, 31561569, 49315003, 71013661, 96657549?\n\"Answer: b**3 + 1972597*b**2 - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**3 + 7*l**2 + 3*l + 25. Let i be f(-6). Suppose -3*k = 34 - i. Calculate the greatest common factor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/5, -2\/3, 3, -314, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -60.1 + 60. What is the third biggest value in -1, -1\/11, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -5*x. Let n(q) = -6*q**2 - 4. Let b(z) = z**2 + 1. Let v(u) = -12*b(u) - 3*n(u). Calculate w(v(k)).\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = 4*k + 76, -5*h + h = 3*k - 111. Let c = h - 3. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -41*w**4 + 3*w**3 + w**2 - 27*w + 368172?\nAnswer: -164*w**3 + 9*w**2 + 2*w - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4)\/12 + 48464\/6. Suppose 0 = -17*q + r + 3874. List the prime factors of q.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -14 in 5, -3\/47, -122, 10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes after 8:40 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -3 times -0.4\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 plus 0.0102?\nAnswer: 0.3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = -20\/141 - 10253\/282. Let l(d) = d**2 - 14*d - 244. Let k be l(-9). Let o = q - k. Which is the closest to o? (a) 3\/4 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 223285 and 0.07.\nAnswer: 223285.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -57*t + 26 + 60 = 29*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 + 21 = 2*g. Calculate the remainder when 24\/(-30)*430\/(-4) is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 1019*y**3 + y. Let c be v(-1). Round c to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 962921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = n**2 - 6*n - 1. Suppose 2*r = -h + 15, 0 = 3*h - 3*r - 0*r - 9. Give w(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -837 = 11*j - 804 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 48*s + 839 - 83 + 12 = 0 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the second derivative of p**4\/12 - 2*p**3 - p**2\/2 - 57*p. What is h(9)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.61 and 0.17.\nAnswer: 0.1037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.4 + 0.4. Let w = 3 - z. Let j be (-513)\/(-1701) - 4\/9. Which is the nearest to -2? (a) j (b) 0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 21 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-18)\/15)\/(-3)*(-3)\/(-6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11350 and 100.\nAnswer: 22700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 + -54046442?\nAnswer: -54046437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -2721 + 2721 + 429*l - 2 + 2 + 2*l + (-2 - 4 + 4)*(3*l + l - 2*l) in the form f*l + y and give f.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*t + 5*q - 8, 2*q = -5*t - 69 + 49 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be -7 - (5 + -13) - (5 - 4). Sort -2, d, 41.\nAnswer: -2, d, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l + 8. Calculate j(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*o**2 - 5 + 27*o**2 - 3*o - 8*o**2 - 14*o**2 to the form m*o + s*o**2 + r and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -26*v + 187. Let p be b(6). Determine a so that 0*a - 5*a - p - 2*a**2 + 41 - 3*a**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/5 (b) -5 (c) -2\/21 (d) -4\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) be the third derivative of i**6\/360 - i**5\/60 + i**4\/24 + 23*i**3\/6 + 14*i**2. Let o(m) be the first derivative of v(m). Suppose o(b) = 0. Calculate b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v**2 - v + 1. Let c = 69 + -413\/6. Let h(o) be the third derivative of 0 + c*o**4 - 1\/3*o**3 - 3*o**2 + 0*o + 1\/20*o**5. Determine h(d) + 2*n(d).\nAnswer: d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s**3 - 7*s**2 + 1. Is c(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 60505 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10 + -1. What is the remainder when 26 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -58*d**2 + 34*d**2 + 1478*d**3 + 24*d**2 + 1187 + 845 wrt d?\nAnswer: 4434*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 262 - -5?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7 - 1. Let q(f) = 0*f + 3*f - 1 + 9*f**2 + 5*f**2 - 4*f. Calculate the smallest common multiple of d and q(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -84 - -81. Let c be (b\/16*-44)\/((-6)\/(-16)). Solve -n = 3*q + n - c, -2*q = -n - 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -s + 6. Let y be i(3). Suppose 0 = y*g + 2*g - 90. Let t = g - 39\/2. What is the second biggest value in 3\/7, 2\/5, t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1107, -1441, -2001, -2787, -3799?\n\"Answer: -113*w**2 + 5*w - 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2729522 + 36112?\nAnswer: -2693410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 27 and 2673.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*x = 9*x + 3*x - 15*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 311165*v - 2 - 2*v**3 - 311165*v - 500*v**2 to u + t*v**3 + r*v + n*v**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*a + 3 = 5*j + 27*a, -3*j + 21 = -3*a. Solve 19*d + j = -35 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/2562 and -101\/3295604.\nAnswer: 4221668724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 1, r: 7, e: 1}. Give prob of picking 1 r, 1 e, and 1 i.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -78956302 divided by 4\nAnswer: -39478151\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 9 and -0.034?\nAnswer: -0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 440558 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = -17393 + 34252. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1001210023 (base 4) in base 5?\nAnswer: -32043210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -22 - -20. List the prime factors of 2 - -107*(0 + 3 + d).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 65 + -3. Let p = t + -66. What is the nearest to p in -2, -4\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1631 + 207 = -8*l. List the prime factors of l.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -377276*i - 2827. Let h(g) = -267*g - 2. What is -2827*h(r) + 2*t(r)?\nAnswer: 257*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -42aa398 - -1?\nAnswer: -42aa397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 337 (base 8) to base 2.\nAnswer: 11011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 991998, 991996, 991994, 991992?\n\"Answer: -2*k + 992000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 242340001, 484680004, 727020007, 969360010?\n\"Answer: 242340003*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1571?\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 170 less than 2.262489582?\nAnswer: -167.737510418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -2*f. Let r(i) = -i**3 + 9*i**2 + i - 4. Let c be r(9). Let p(b) = c*b + b + 6*b - 2*b. Calculate p(a(n)).\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 57465448 + 6254*u**3 - 57465448.\nAnswer: 6254*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m - m - 5*s = -17, 3*m = 5*s - 19 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 12*r**2 + 3*r - 1. Suppose 9*c + 1734 = -8*c. Let g = c - -104. What is the units digit of w(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 582 and 1261.\nAnswer: 7566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 17*c**2 - 5*c + 1. Let b be k(-1). Calculate the smallest common multiple of ((-6)\/15*-1)\/(b\/20010) and 21.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00436192 to 4 dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11591, 11125, 10607, 10031, 9391, 8681, 7895?\nAnswer: 7027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -40*r**3 - r**2 - r + 1. Let g be w(1). Is g greater than or equal to -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes before 6:58 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6.2 + 1.2. Let p = 43261\/10 + -4326. What is the biggest value in 4\/7, p, l?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 36963267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0 + 56. What is the common denominator of 885\/(-210) + (3 - 0) and (-1170)\/q*(-14)\/(-35)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -313310010 (base 5) to base 7\nAnswer: -14052101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -118, -251, -372, -469, -530, -543, -496, -377?\n\"Answer: 2*b**3 - 6*b**2 - 129*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 4278.66t to milligrams.\nAnswer: 4278660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9 - -15. Suppose -3*n + 7 = -f, -3*n - 2*f + 13 = -0*n. Let r be (n\/z - 0)*3. Is r at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-12*u - 1500 + 1500)*(-4*u + 4*u + u)*(-5 + 4 + 0) in the form n*u**2 + t*u + d and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -16*k**2 - 3*k + 1. Let q(h) = h**2 - 1. Let r be q(2). Let p be l(r). List the prime factors of 3*(p\/(-12) + -3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2 + (-27)\/15 + 0. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72 = 4*c + 5*y, -3 = 2*c + 4*y + 39. Let g = -8 - c. Suppose 2*j - 66 = -0*j - 4*a, 0 = g*a. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3477.1 + -3478. Let y = 0.6 + -0.9. Which is the closest to i? (a) y (b) 2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2757260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 46*a - 152 - 262 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 240 minutes before 3:27 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 20987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-1 - 1) + -2)*10\/4. Let u be (3 + 92\/56)*8\/p. Is u smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -2*d + 2*u + 5, 0 = -2*d + u + 25. Solve 0 = -2*s + d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1738 * -33.2\nAnswer: -57701.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 5*z - 2. Let f be (-4 + 402\/96)\/((-3)\/(-2)). Which is the closest to 2\/7? (a) -4 (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -94 + 277. Let d = n + -183.00000664. What is d rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 2, g: 1, i: 7, l: 2}. Give prob of picking 2 i, 1 l, and 1 e.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (61\/(9760\/64))\/((-6)\/35)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 3881, 3880, 3879, 3878, 3877?\n\"Answer: -t + 3882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence af when two letters picked without replacement from {u: 1, w: 3, n: 5, f: 2, i: 3, a: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 9900715?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven fifths of a meter in centimeters?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*s**3 + 2*s**3 - s**3)*(-13 - 19 - 8) + (6*s - 3*s - 2*s)*(2*s**2 - s**2 + 3*s**2).\nAnswer: 84*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u - 5*o - 44, o + 42 = 4*u - 28. Let l(z) = -19*z - u*z + 27*z - 1. Calculate l(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 3950560 to the nearest ten thousand.\nAnswer: 3950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + sqrt(1088) + -5*(1 + sqrt(1088)) + sqrt(1088) + 1 + -1*sqrt(1088) + -2 + 1*sqrt(1088)*5*-3)*-6)**2.\nAnswer: 109440*sqrt(17) + 14143248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from awljwwwwa. What is prob of picking 1 j and 1 a?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 39965 is divided by 712.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(0 + sqrt(28) - sqrt(7) - sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -74.8 + 115. Round g to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -3*g**3 - 19*g**2 - 8*g - 92. Let j be l(-7). Solve -j*k = -57*k + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 13710 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out -5246437 * -19.\nAnswer: 99682303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 883 is divided by 882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -365*y + 369*y = -92. Suppose 9 + 17 = -4*a + n, 4*n - 27 = 5*a. Let g = a - y. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4734 to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**3 + 19*y**2 - 2*y - 28. Let r be t(-19). Suppose 5*m = p - 64, -5*m = -2*p + 93 + r. Calculate the smallest common multiple of p and 27.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6 - 6. Suppose 4*q - 4 = -t*q. Solve 0 = y - 1 - q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 5*w**2 + 8*w + 7. List the prime factors of v(5).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -49, 164, 375, 584?\n\"Answer: -s**2 + 216*s - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -9*w**3*y**3 - 5*w**2*y**3 - w*y - 176*y**3 wrt w?\nAnswer: -27*w**2*y**3 - 10*w*y**3 - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 3 + 310*g - g**2 - 11 - 309*g. Give c(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (40\/150)\/(12\/9). What is the closest to -13\/3 in p, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-1\/3)\/(((n\/((((n**7\/n)\/n)\/n)\/n))\/n)\/n))\/(n\/n**(-2\/7))**28)\/((n\/n**(2\/15))**48)**(-3\/5) assuming n is positive.\nAnswer: n**(-553\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -2*t**3 + 15*t**2 + 7*t - 7. Let x be c(7). Let r = 48 - x. Let y = -43 - r. Solve -5*f - 22 = -y*k + k, k = 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 2*n + 29. What is s(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49125 = 47*d - 22*d. What is d rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 51.6 * 4.\nAnswer: 206.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2003.\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-63597)\/4988*(-48)\/34?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 174*h + 472621 = 468793 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the first derivative of -p**2 + 23*p - 7. Let w be k(16). Let d = w - -17. What is the lowest common multiple of 16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*-1*sqrt(91)*6)\/(sqrt(42)\/(sqrt(6)*3*-4)))**2*-2.\nAnswer: -3369600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-1\/6)*w**7*(w*w**3*w*w*w*w)**3 assuming w is positive.\nAnswer: w**(185\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = 2*v + 3, 2*v + 3 = -1. Let n be (-2 - a\/3)*3. Suppose -8*i + 8 = -4*i. What is the biggest value in i, 1\/3, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k. Let n(b) = -3*b + 8*b + 4 + 9 + 12 - 27. What is -2*m(q) + n(q)?\nAnswer: 7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -44200 divided by 22100\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 820 or 764?\nAnswer: 820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + -1 - (-3 + -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(24)\/(sqrt(24)\/sqrt(3)) + 5 - ((sqrt(12)\/(sqrt(20)\/sqrt(5)) + sqrt(3))*3)**2) + 4.\nAnswer: -99 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 15*a - 4*a - 2*a**2 + 976 + 975 - 14*a**3 - 1951 to the form c + h*a + o*a**2 + i*a**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.23999779 - 1.24. What is p rounded to 7 decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -40*c = -149*c - 1018 + 3089 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 0.1 times 7528\nAnswer: 752.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2002120 - -11100020?\nAnswer: 2020200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from wzvhghqq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p + 44. Give t(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-21)\/14*6\/9. Does -11\/6 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:29 AM and 8:12 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) be the second derivative of -g**2 - 1\/3*g**3 + 1\/24*g**4 + 0 - g + 1\/60*g**5. Let d(p) be the first derivative of a(p). Factor d(o).\nAnswer: (o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 3101123 (base 4) to base 7\nAnswer: 54035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -31000 to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -2*i**2 - 9*i - 6. Let d be s(-3). What is the derivative of 6 + 6*w**2 + w**2 - 3 - d*w**2 wrt w?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12 - 49 + 18 - 1358*w**2 + 1258*w**2 + 19.\nAnswer: -100*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*d - 2*d**2 + 4*d - 506 - 17*d**2 + 506 + (-2*d + 3*d - 3*d)*(-2 + 2 + 2*d).\nAnswer: -23*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 12593 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 9502547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 14 + (5 - 8) + -12 + 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (1 + sqrt(175) + 1 + -4 - (-1 + sqrt(175)*-1 + sqrt(175))*6)**2*6.\nAnswer: 240*sqrt(7) + 1144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 19 = -8*a + 3*h, -3*h - 17 = -4*a. Let v be (a\/10)\/((-20)\/(-300)). What is the third biggest value in v, -86, 0.1?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from ddwddddddwddwdddww.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 192*b**2 - b. Let v(o) = o - 6. Let m be v(7). Is j(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 3, q: 2, a: 2, y: 5}. Give prob of sequence qq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4\/(-90)*(-4 + -1). Let l = 45775 - 45775.3. Let s be 0\/2 + 1*-5. What is the second smallest value in 11\/3, s, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 6*r**2 + 11*r - 2. Let k be 6\/4*66\/(-9). Let l(w) = 3*w**2 + 6*w - 1. Determine k*l(p) + 6*n(p).\nAnswer: 3*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - (-4 + -1 + 1) - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.2 and 5.572423.\nAnswer: 5.372423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from {n: 3, e: 4, u: 11}.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = 189333 - 119632. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 459, 933, 1407, 1881, 2355, 2829?\n\"Answer: 474*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5 + -2. Suppose y - 3*y - 2*w = 800, -s*w = 0. What is y rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 480275?\nAnswer: 5, 19211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3c4 (base 14) in base 15?\nAnswer: 35a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 5}. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 132381 and 4?\nAnswer: 529524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 14 or -221.075?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -2*m + 1. Let f be a(3). Let i(y) = y + 8. Let t be i(f). Suppose 6*c - 8*c - 6 = 0. Sort t, c, -1 in descending order.\nAnswer: t, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -88 - 27*v**3 + 25*v**3 + 88 - 1799*v + 1799*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/2 + ((-44)\/8 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes before 6:25 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -295*a - 4150. Is 5 a factor of v(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*n - 2*z - 5, -4*n - 4 = -2*n - 5*z. Solve n = -x - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7b545 (base 15) in base 11?\nAnswer: -249041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 49812.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z - 9*q = -48, 47*z = 40*z - 3*q - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 + 2)*(128*j**2 + 123 - 123)*(0*j + 2*j + 0*j).\nAnswer: 256*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1.1, 36, 5, -0.2?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 89447?\nAnswer: 23, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the second derivative of -9*n + 2*n**2 + 0*n**3 - 1\/8*n**4 - 1\/60*n**5 + 0. Let b(r) be the first derivative of t(r). Give b(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**2 - 8*d + 6. Let c be 9\/12*(6 - 2). Suppose 3*g + 47 = 4*k, -36 = 3*g - c*k + 6. Let z be a(g). Let y(h) = -h**2 - 2*h + 4. Give y(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1 + -1)\/(1207\/102 - (-2 - -14)). Let j be 0\/1 + -1 + 5. Which is smaller: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by 204\nAnswer: -5\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 625 minutes before 5:52 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1322*h**2 - 4880*h wrt h?\nAnswer: -2644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6 - -10. Suppose x*d = -4*d + 32. Suppose 242 = -j - 5*u + 1321, j - 1061 = d*u. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) be the third derivative of -k**4\/24 - 4*k**3\/3 + 14*k**2. Let o be p(-11). Let z(f) = 5 + o + 2*f - f. What is z(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -4*y + 11. Suppose 5*r + y = -6, 2*i + 2*r - 52 = 0. Suppose 5*c - i = 126. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.1 - -0.2. Let c = g - 0.2. Let f = c + -0.9. What is the closest to 1 in -5, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 5*a**2 - 3*a + 19. Let v(t) = -5*t**2 + 3*t - 17. What is 5*o(n) + 6*v(n)?\nAnswer: -5*n**2 + 3*n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a + 22 - 53 = -3*b, 0 = -3*b - 4*a - 49 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3167 - 3172. Let f(r) = r**3 + 4*r**2 - 3*r - 4. Determine f(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -2*y**2 - 1. Let d be g(-2). Let s(u) be the third derivative of u**5\/60 + u**4\/2 + u**3\/3 - 9*u**2. Let l be s(-11). Do l and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 32 - 16. Calculate the remainder when n is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*f + 2*f + 2*f - 6*f + 0*f + 306*f**2.\nAnswer: 306*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.3092 to 2 decimal places.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 68025 is divided by 16824?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 296.17 - 279. Let d = a + -17. Let m = -0.03 - d. Put 0.5, -3, m in decreasing order.\nAnswer: 0.5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5107031284?\nAnswer: 2, 103, 12395707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1.52133556 and -34.3?\nAnswer: 32.77866444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -2*z**3 + 18*z**2 - 30*z + 115. Let j be x(8). Solve 2*m - 13 = -j*w, 6*m - w + 7 = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + 4*w = -22, -4*f + 0*w + 4 = -4*w. Let c(y) = -y**2 - 8*y + 4. Let l be c(f). Suppose -12 = h - l. Solve -h = -2*k + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 2*r - 2. Let a be v(2). Solve -2*b + 6*s - a*s - 2 = 0, 0 = -b + 3*s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1052\/9*s**4 - 20\/3 + 752\/9*s + 112\/9*s**5 - 2728\/9*s**2 + 992\/3*s**3 = 0. What is s?\nAnswer: 1\/7, 1\/4, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 4*a - 1. Let n(h) = h - 1. Let u(b) = -n(b) + t(b). Let i(s) = 53*s**2. What is u(i(l))?\nAnswer: 159*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1141 and 51834.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 925 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 79 + -155\/2. Let f be (1*-2)\/((-8)\/(16\/(-5))). Sort k, 0.9, f in increasing order.\nAnswer: f, 0.9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 188229?\nAnswer: 3, 62743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2 + -1453b?\nAnswer: -14539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-9)\/2*4\/(-3) - -26724?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -146139*d + 146172*d - 297 = 0. Let f(m) = -m**2 - m + 92. Determine f(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.7748 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1310 (base 9) in base 6?\nAnswer: 4313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 19 + 522. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2652 to 2 decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5 + 66?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 127\/41328 and 169\/336.\nAnswer: 41328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -31*b**2 + 5069*b + 10138. Calculate j(-2).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -152, -2\/5, -2\/3, -0.0319?\nAnswer: -0.0319","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that -q**4 - 9686970*q**3 - 23459346945225*q**2 = 0.\nAnswer: -4843485, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 30, -1094, -1, 3, 0, -3 in ascending order.\nAnswer: -1094, -3, -2, -1, 0, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1200 - 2021010?\nAnswer: -2012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from vttcbwttcbcwbwdtcb.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-23 - -25) + -2 + -1 + 3. Suppose -t*h - 2*u = -698, 2*u + 258 = 2*h - 440. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = -2*x - 61, 4*x + 130 = 2*u - 0*u. Let p be (0 + x\/(-36))*(-12)\/8. Which is the closest to 29? (a) p (b) 2\/13 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -342.27 + 0.27. Let r = w + 341.999999765. Round r to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5060 - -5019.8. Round n to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rnynnoyqn. Give prob of picking 1 r and 1 o.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18)\/15*540\/216.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.06517? (a) -5 (b) -1\/8 (c) -2\/87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1*39 - (-47886)\/1041) + -28?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -19164 greater than -29050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from yycyiyc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 43, 193, 435, 763, 1171, 1653, 2203?\n\"Answer: -s**3 + 52*s**2 + s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = t + 5*t - 486. Is 27 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 63 + -55. Let d(t) = 2*t**2 - 9*t - 1. Let w be d(p). Suppose -w = -3*r + 8. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 - 3)*(20 + 6*s - 20)*(1 + 0 + 1)*(-2 + 2 - 3).\nAnswer: 72*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r\/(r\/((r*r**(1\/31)*r)\/r)))\/r**(-5))\/((((r*r**27)\/r)\/r)\/r**(3\/7)))**(-36) assuming r is positive.\nAnswer: r**(152640\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -223, -424, -611, -778, -919, -1028, -1099?\nAnswer: -1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r**2 + 4*r + 5. Let d be p(4). Let b be -2 - (-710)\/(2 + 3). Suppose d*y - b = 3*f - f, -2*f = -10. What is the remainder when 59 is divided by y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*b - 15. Suppose b*j = j + 2*x + 22, -2*j = -4*x - 20. What is the greatest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) -3 (b) -14.3 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = -4 + 8. Suppose 5*b + 2*w - 15 = 0, a*b - 12 = -3*w + w. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 + 1)*(-2 + 0 + 1)*(24*r**3 - 1279731*r + 1279731*r - 22*r**4).\nAnswer: 44*r**4 - 48*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 63049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n + 3*n + 40. Let p be 35\/36 + 6\/n. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.04973 and -0.1?\nAnswer: 0.004973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the second derivative of u**3\/6 + 51*u**2 + 108*u. What is the units digit of i(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**5 + 21*a**4 + 153*a**3 + 239*a**2 + 108*a.\nAnswer: -a*(a - 27)*(a + 1)**2*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = -4*u + 30556, 3*u - 22914 = 342*t - 339*t. Calculate the greatest common divisor of 80 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-2)\/(-5))\/((-2)\/240*-4). Suppose 8 = 16*k - t*k. Let v be 1089997 + 4 + (-2)\/k. Round v to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, -172, 5, -1\/45 in ascending order.\nAnswer: -172, -1\/45, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-4)\/16 - -1) + (-656)\/704. What is the nearest to 1\/2 in 0.3, 0.03, -1\/10, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 64259029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 530510.2 millennia?\nAnswer: 6366122400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 302719525\/117978 - 9679\/2809. Let u = r - 2561. Calculate the common denominator of 13\/10 and u.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 3457242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 219 = 4*z - 2*l, -3 = -l. What is the remainder when z is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48*p - 45*p - 33 = 0. Let z(y) = -y + 14. What is the remainder when p is divided by z(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in 23, 1\/7, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*f**4 - 106*f**3 - 88*f**2 + 1126*f - 924 = 0. Calculate f.\nAnswer: -11, -21\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = -32 - 8. Let q be -9 + -6 - -10*(-4)\/w. Let i(p) = -p**2 - 19*p + 23. What is i(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hujujbzuujbaazbaj. Give prob of sequence bahb.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a + 1. Let v be c(-8). Suppose 6*o = -4*o + 630. Suppose -o = -u - v. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -12049, -24096, -36143, -48190, -60237, -72284?\n\"Answer: -12047*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12\/721 + 681\/22351. Sort 3\/5, m, 0.4.\nAnswer: m, 0.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 12624 - o**2 + 4924*o - 12624 + 2068*o**4 - 1306*o wrt o.\nAnswer: 24816*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 18.917357 to three dps.\nAnswer: 18.917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 14 and 2944606.\nAnswer: 2944606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -14? (a) 3\/4 (b) -0.2 (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 348 + -1133176.\nAnswer: -1132828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 4, -0.1, 1272.\nAnswer: -0.1, 3, 4, 1272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most 2\/949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -2 + 3 + 8 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**2 + 3*y + 17. Let q be p(-8). Let x = q - -8. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -19.36935+-21977\nAnswer: -21996.36935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 + -6 - (21 - 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 12353437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -698*a + 810*a - 110*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -5, 5, -4\/5, -84, -0.3, -2, -38?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 78661665 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide -14861 by -2.\nAnswer: 14861\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1962 and 872.\nAnswer: 7848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2\/7 or -66264065?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 154357920.\nAnswer: 2, 3, 5, 35731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -14\/460785 and 13\/415.\nAnswer: 38245155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -121\/11830 and 37\/38.\nAnswer: 224770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 87 or 0.1572?\nAnswer: 0.1572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 2*y - 5. Let p(r) = 26*r - 56. Let g(u) = -p(u) + 10*z(u). Calculate g(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1)\/((-9)\/6)*(7 + -1). Solve -k = -4*d - 21, -3 = y*k - 23 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1090, 2191, 3292, 4393?\n\"Answer: 1101*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: ((-12)\/10)\/(-15*4\/(-1350))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Put 0.09, 7, 17 in decreasing order.\nAnswer: 17, 7, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 691*f**2*k**2 - f**2 + 230*f*k**2 + f*k + 4 wrt f.\nAnswer: 1382*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the second derivative of v**6\/15 - v**5\/10 - 2*v**4\/3 + 4*v**3\/3 - 46*v. Solve y(s) = 0 for s.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6617 - -1717. Let r = -48947\/10 - w. What is the common denominator of -117\/14 and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7961 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -9 (base 11) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(2*sqrt(432)*-5 + -1*sqrt(432) + 2)*-6)**2.\nAnswer: -76032*sqrt(3) + 7527744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7 + -2. Suppose 275 = 5*a - 4*t + 43, a + d*t - 29 = 0. Suppose -m + a - 2 = 0. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2295.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Subtract 25 from -181593.\nAnswer: -181618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 771, 784, 795, 804?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1412 (base 9) in base 7?\nAnswer: 3050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**2 - i + 53. Let g be v(7). Let z(o) = 2*o**2 - 3*o + 3. Let f(a) = -a**2 - a + 1. Determine g*f(y) + z(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*u**3 - 70*u**3 - 27*u**3.\nAnswer: -97*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 133 + 38 - 3*c**2 - 171 + c**2 + 7*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4616144 decades to years.\nAnswer: 4.616144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -26*k**5\/9 - 3188*k**4\/9 + 410*k**3\/3.\nAnswer: -2*k**3*(k + 123)*(13*k - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -50520043.84 rounded to the nearest 100000?\nAnswer: -50500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 0*c = -2. Suppose 0 = -3*g - 2*g - 4*y + 39, -c*y - 8 = 0. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -11349537*c**4*i + 5*c*i - 16611*c + 8*i wrt c?\nAnswer: -136194444*c**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -c - 2. Let l(y) = -25*y - 3. Give -4*g(d) + l(d).\nAnswer: -21*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 506d + 1?\nAnswer: 506e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = 126 + -70. Suppose 2*r + 31 = 3*w - 5, -5*w - 5*r + 85 = 0. Calculate the highest common divisor of b and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -2*(-1)\/(-2)*-5. Let d = 166 - 164. Let b(o) = 53*o - d + 0 - 1 - 46*o. Let f(t) = -t + 1. Calculate z*f(p) + b(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1704 a factor of 69928181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**15\/l)**(2\/69) assuming l is positive.\nAnswer: l**(28\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -2\/23 (b) 0 (c) -0.11 (d) 0.4 (e) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, -1\/2, -161 in descending order.\nAnswer: -1\/2, -13, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2404ac + 5?\nAnswer: -2404a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -70 + (-23)\/(-529)*1219.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(528))\/(sqrt(275) + 3*sqrt(275)) + (sqrt(525)*2 + sqrt(21))\/(sqrt(42)\/sqrt(6)*6).\nAnswer: 31*sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/12*1\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 11164377 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*i - 414 = 15696. What are the prime factors of i?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 0*l - 80 = -4*l, -2*l + 88 = 5*j. What is the highest common divisor of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 253511842*f**5 + 133727422*f wrt f?\nAnswer: 5070236840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 553 minutes before 11:22 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 25 minutes before 4:11 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -99*y**3 + y**2 - y**2.\nAnswer: -99*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**3 - c**2 - 1. Let x(b) = 6*b**3 - 9*b**2 + 2*b - 5. Let y(k) = -5*j(k) + x(k). Let d(u) = -u**2 + 10*u + 2. Let v be d(10). What is y(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1601 + 1715. Calculate the highest common divisor of o and 608.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1016932.\nAnswer: 2, 7, 36319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 60 a factor of 235500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Do 0.056 and -8686 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: ((-44)\/55*1)\/((-10)\/(-250))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 17, 5, -3, 4 in descending order.\nAnswer: 17, 5, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 3, e: 9, x: 5, f: 2}. Give prob of picking 1 f and 1 c.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 52593165*k**5 + 77559696*k**2 wrt k?\nAnswer: 3155589900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/(35\/14)*(-15)\/39. Which is the nearest to -0.1? (a) s (b) 2 (c) -19\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 46*n**2. Let t(f) be the first derivative of -f**2\/2 + 22. Let k(r) = -r. Let u(g) = 5*k(g) - 4*t(g). Determine u(y(h)).\nAnswer: -46*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) be the second derivative of -h**5\/16 + 515*h**4\/16 - 53045*h**3\/8 + 5463635*h**2\/8 + 3*h + 306. Suppose q(x) = 0. Calculate x.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -26 + 29abc?\nAnswer: 29a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 7 = 3. Suppose t*u - 104 - 31 = 0. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -501255, -1002496, -1503725, -2004936, -2506123, -3007280?\nAnswer: -3508401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*z**2 + 228 - 12*z - z**2 - 228 wrt z?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1608 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34*y**2 - 86*y**2 - 121*y**2 - 21*y**2 - 2 + 4.\nAnswer: -194*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 16, y: 4}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -396*t + 405*t - 9 = 0. Let v be (-15)\/(525\/10)*(-7)\/t. Solve -v*q = -2*l - 6*q - 6, -q - 14 = 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 7, d: 1}. Give prob of picking 3 f.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pmvn when four letters picked without replacement from {n: 1, p: 6, i: 3, g: 4, m: 1, v: 1}.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 33 + -27. Suppose 10*o - h = 7*o. Factor -2*s**2 - 197*s - o + 0 + 193*s.\nAnswer: -2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -27*j**2 - 124*j + 2169. Determine n(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 167\/6391440 and -131\/6456.\nAnswer: 6391440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 345*m + 13423. Give q(-39).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify v\/(v\/v**(-3\/23))*v*v*v**(-24\/5)\/v*((v**(2\/11)\/v)\/v)**(2\/39) assuming v is positive.\nAnswer: v**(-198508\/49335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:40 PM and 10:42 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -21*m - 17. Let y(k) = -2*k**3 + 4*k**2 + 3*k + 3. Let l be y(3). Let a(f) = 7*f + 6. What is l*h(b) - 17*a(b)?\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3809307?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 15d - 4?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*p - 3*p = 0. Suppose 0 = 3*o - 8*o + 30. Sort p, o, -1, -2 in descending order.\nAnswer: o, p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -6879\/5 less than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1*(10 - -61 - 1*4). Let n = -83 - f. Calculate the common denominator of 155\/44*n\/(-125) and 51\/130.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 27\/5 of a century?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 929*m = 857*m + 2808. Solve m*u = -43 + 277 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**17)\/(y\/y**(14\/11)) assuming y is positive.\nAnswer: y**(201\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/2*(-980)\/13860*(-4)\/7?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7986736 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:30 PM and 8:24 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 19 + -17 - (-3 + 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**2 + 138*a - 1580.\nAnswer: 2*(a - 10)*(a + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-6)\/(-9))\/((-2)\/(-6)). Suppose 2*q - 3*s - 1 = -p*s, -3*q + 2 = -2*s. Solve 0 = -b - q*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -216 - -350. Let m = -134.3 + y. What is the second smallest value in -5, m, -9, 1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*z + 7*z - 5*z)*(-8*z + z + 39*z)*(-2 + 2 - 4) in the form h*z + a + l*z**2 and give l.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*p - 7*p**2 + 2*p - 2*p**3 + p to d*p**3 + l + x*p**2 + t*p and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 93 is divided by 59.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 15, 4548, -4 in increasing order.\nAnswer: -4, 0, 15, 4548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**3 - 147*s**2 - 947*s - 179. What is i(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -10 + 9 + 3*s + s**2 + s. Determine p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (23 + 6 - 11)*(5*h + 0*h - 3*h)*(h - h - 2*h).\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -21033700 to the nearest 10000.\nAnswer: -21030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Add 498354 and -0.155.\nAnswer: 498353.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 5*d + t - 46 = 0, 130 = 5*d + 5*t. What is the highest common factor of 2085 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-8) - 117\/(-36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -14 - (-16 - -13) - -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 2*f**2 + 6*f + 14 - f**2 + 3 - 9. Let m be i(-6). Suppose 8 = 12*w - m*w. Solve -w = -x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1615 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 77 + (-67 - -65) - 87\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.082 + 3.608. Let i = u + -37.29. Let c = -27 - i. What is c rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*y + 8*r + 70 = 2*y, -8 = 4*r + 28 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -20*w**2 + 26*w - 6. Let l(y) = -4*y**2 + 5*y - 1. Give -11*l(b) + 2*s(b).\nAnswer: 4*b**2 - 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 444 is divided by 127?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*x - x + 0*x)*(-3*x + 2*x + 14*x) + (0*x + x + x)*(-x + 1 - 1).\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1323 - 1322. Let s be 38\/209 - (-19)\/(-44) - 0. What is the nearest to s in o, 2\/5, -26?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 4*z - 100 = 0, 4*d - 4*z + 84 + 32 = 0. Let w = 70 + d. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + -3*sqrt(891) + sqrt(891))*-6)**2*-6.\nAnswer: -775224 + 38880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**2 - 2*s**2 - 4*s**2 - 1 + 4*s**2 + 5*s. Suppose -2*n = -n - 4. What is the units digit of j(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 572, 18, 3, 0, 2, 4 in descending order.\nAnswer: 572, 18, 4, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Total of -17743 and 45545455659.\nAnswer: 45545437916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 2362*t**2 + 301*t - 300. What are the prime factors of z(1)?\nAnswer: 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the first derivative of -10\/3*s**2 + 40\/9*s**3 + 1\/3*s**5 + 0*s - 8 - 25\/12*s**4. Suppose t(m) = 0. What is m?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*t**3 - 154690984*t**2 - 2991162256979040*t + 11964651502972032 = 0. Calculate t.\nAnswer: -38672748, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 1575558 * -21\nAnswer: -33086718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9 and 2028.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -206*t - 5986. What is u(-29)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 321 is divided by 119.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**2 - 718*d - 16304. Calculate a(-22).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9281 is divided by 647.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-11 - (2 - 6)) + (11 - (-18 + 5))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 4*v**3 + 67*v**2 - 5*v - 5. Let n(p) = -2*p**3 - 34*p**2 + 2*p + 2. What is -2*m(z) - 5*n(z)?\nAnswer: 2*z**3 + 36*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2*(1 + (-4)\/6). Let y be 7 + (-21)\/(525\/160). Which is the nearest to 3\/4? (a) 0.3 (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/5599952 or 0?\nAnswer: 1\/5599952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = 5*p + 7 + 8, 2*d - 3 = p. Let g be (p\/(-6))\/((-2)\/(-4)). Let k be (-2 - g*-4)\/2. Solve x - k + 0 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-51)\/12 + 4 - (-23)\/(-4). Let b be (0 - 2) + 34\/z. Suppose 16 - 9 = -n. Which is bigger: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(132)*1 + sqrt(132) - (-6*sqrt(132)*1 + sqrt(132)))\/(sqrt(192) + (sqrt(192) + -3*sqrt(192)*1 - sqrt(192)) + -1*sqrt(192)*-4).\nAnswer: 3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = 4*j - 802, -5*m - 81 - 1251 = -2*j. Let d = -135 - m. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 316*t**2 + 62*t - 62*t - 208*t**2.\nAnswer: 108*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**3\/7 - 72*j**2\/7 + 320*j\/7.\nAnswer: -2*j*(j - 4)*(j + 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 63484721.\nAnswer: 71, 894151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = -5*t - 90, -2*t + 2*k = 2*t + 46. Let i(a) = a**2 + 14*a + 1. Let v be i(t). Put 3, v, 2 in increasing order.\nAnswer: v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**3 - 9*d**2 - 10*d - 9. Let k(m) = m**2 + 3*m + 2 + 3*m**3 + 0*m**3 - 2*m**3. Let l be k(-2). Let o be v(l). Solve -o*p = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -2*x + 1. Let j be b(-1). Suppose 3 = y - j. Suppose -2*z = 6*p - 3*p - 2, -2*z = p + y. Solve -p*d - 11 = -3*l, 0 = 2*d - 0*d + 2*l + 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 23 - 22. Let b = -3 - -2.9. What is the nearest to m in -0.4, b, -2\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 575053743 a multiple of 9566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1135 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 2399*v - 307141. Calculate d(128).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0.580371+-65971722\nAnswer: -65971721.419629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.01 (b) 3\/8 (c) 16418\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x**3 - 2*x**2 - x - 1. Let d be a(2). Let l = -31000\/7 - -4426. Is l smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2961 and 8358.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the first derivative of 399*y**4\/4 - 195*y - 484. What is the derivative of k(v) wrt v?\nAnswer: 1197*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-17 + 3 + 4 + 10 + 16*t)*(775*t**3 + 2049*t**3 + 1312*t**3) to the form g + j*t**3 + v*t**2 + u*t**4 + k*t and give u.\nAnswer: 66176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 6730*m + 13698?\nAnswer: 6730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 199*h**4*l*s - h**3*l*s**3 - 2*h**3*l - h**2*l*s**3 + 50*h**2*l*s + h*l*s wrt h.\nAnswer: 4776*h*l*s - 6*l*s**3 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 4534 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t - 2 - 471*t**2 + 254*t**2 + 239*t**2)*(-t + t - 2*t**2).\nAnswer: -44*t**4 + 6*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1.1, -0.08, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -2.2 times -1658212?\nAnswer: 3648066.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 56748797 is divided by 184.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -0.08 times 20.191\nAnswer: -1.61528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d + 6. Let n(l) = -3*l - 405 + 405. Let b(j) = -2*j. Calculate d*n(o) - 10*b(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dm when two letters picked without replacement from fjddmldmmmmllbl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify u\/u**(-4\/9)*u*u*u*u**18*u assuming u is positive.\nAnswer: u**(211\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -25 (b) 2 (c) 538\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -9 * -55\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) be the second derivative of -a**4\/12 - 5*a**3\/6 + 3*a**2 - a. Let h be j(-5). Suppose -h = -k + 4. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*k - k - k)*(-2*k + 4*k - 3*k) + 6*k - 6*k + 2*k**2 + (k - 2*k + 0*k)*(5*k - 5 + 5).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -29035000 to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be 835 - ((-1 - -3) + 1). Let i be (0 - -2)\/(8\/n). Suppose -14*o - i = -18*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 55 + -52. Let a be (h - -6)\/(-3) - -39. Does 9 divide (9\/6)\/(6\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 61 and -11083122.\nAnswer: -676070442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3.7*-0.5.\nAnswer: 1.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -66.5 - -69.5. Which is the third biggest value? (a) -5\/3 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -245 + 257. Suppose -3*b = -3*p + 987, h = b + 8. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q**3\/5 - 2307*q**2 - 966000*q - 107439900 = 0.\nAnswer: -3385, -230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00368565 rounded to 4 dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.06 and -6134.\nAnswer: -6134.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 561026668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -2*j + 22. Suppose -4*g = -8, -3*c + j = 5*g - 10. Suppose 0*x + c*x = 66. Calculate the remainder when 40 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/761 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:37 AM and 1:33 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 60 - 60. Let y be (25\/5)\/(g + 1). Solve 2*p - 5*i + 33 = -0*p, y*p = 2*i - 30 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 577*a - 244. Determine s(1).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the third derivative of -y**4\/8 + y**3\/6 - 96*y**2 - 2*y. Let z be -1 + 2*-1*-2. Give u(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5 - 13?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 - 2. Let v(n) = -n + 3. Let y be v(4). Let z = 11 - 8. Sort y, s, z in descending order.\nAnswer: z, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -253, 1\/3, -0.3 in descending order.\nAnswer: 1\/3, -0.3, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -2221448.06502 less than -0.1?\nAnswer: 2221447.96502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3 + -1*1\/5*3. Suppose -4\/5*b**4 + 16\/5 - 16\/5*b + 16\/5*b**3 - o*b**2 = 0. What is b?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 314\/2669 + (-2)\/3 + (-9229)\/561\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-68*m - 718*m + 289*m)*(5*m - 4*m + m).\nAnswer: -994*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -3*f - 16. Let a be w(-7). Suppose -2*c + 0*u + 3*u = -609, -3*u = -a*c + 1545. What are the prime factors of c?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1189 + -1186. Let r = -3 + 3.4. Sort -4, r, 4, c in descending order.\nAnswer: 4, c, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7353237*d**3*v + 2*d**2*v - 24*d**2 - 2*d + 2*v - 1878 wrt d.\nAnswer: -44119422*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -254713, -254705, -254693, -254677, -254657?\n\"Answer: 2*i**2 + 2*i - 254717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6 - -5. Let o be r*(-1 + 15 + -2). Let d = o + 20. Solve 5*a = 3*a - d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6\/(-40)*1*-4. Let g = 228 - 234. Let f = -275 - -274. Which is the fourth biggest value? (a) 0.1 (b) s (c) f (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-18)\/32)\/(24\/(-32)). Let r = 2.04 + -0.04. Let p = r - 3. Sort 5, p, x.\nAnswer: p, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 74*m = 77*m - 1653. What are the prime factors of m?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (-24 - (-301984)\/12160 - 9\/60).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 17200757 to the nearest integer?\nAnswer: 4147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = 3*a - 18, z + 3 = 4*a + 4*z. Solve a*o - 26*y = -30*y - 11, 3*y + 6 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 135 and 69043 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m**3 - 12*m**2 + 12*m + 8. Calculate b(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 2.6133933 hours in days?\nAnswer: 0.1088913875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -2*q**3 + 8*q**2 + 15*q + 1. Let m = 25 - 31. Is c(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1000 (base 2) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -62*d - 114. Let s be m(-3). Let j be ((-36)\/(-15))\/4*s\/54. What is the closest to -0.1 in j, 1, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 + (9 + -41 - (-35 + 22)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 75 + -94. Let j(v) = -3*v**3 - 20*v**2 - 2*v**3 - 22*v + 4*v**3 - 15. What are the prime factors of j(n)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = n**2 - 2*n - 2. Let b(y) = y**3 - y - 1. Let i(x) = -b(x) + v(x). Let p(u) = -4*u**3 + 5*u**2 - 2*u - 2. Give 2*i(t) - p(t).\nAnswer: 2*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 503 minutes after 3:16 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 207705549 a multiple of 1891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -35803\/13 - -2754. Which is the nearest to -0.66? (a) o (b) 0.2 (c) 1\/6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (73*h - 69 - 71 + 141)*(-3*h**2 - h**3 + 3*h**2).\nAnswer: -73*h**4 - h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -10*f + 8*f. Suppose 8*m - f*m + 4*k = -139, -3*m = 2*k + 83. Let i = m + 35. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3288 (base 9) to base 8.\nAnswer: -4575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r**4 + 9312*r**3 - 18645*r**2 - 27954*r = 0 for r.\nAnswer: -3106, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express l + 42*l**3 + l - 178*l**2 + 356*l**2 - 178*l**2 in the form r*l**2 + k*l + f*l**3 + u and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2446 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 39, -478, -228, 5 in decreasing order.\nAnswer: 39, 5, -228, -478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -34, 53, 204, 425, 722, 1101, 1568, 2129?\nAnswer: 2790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 10*v**3 - 3*v**2 + v + 3. Let g be p(-3). Let a be (-2)\/8 + g\/12. Let q = -3 - a. Calculate the lowest common multiple of 6 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o**3 + 4*o**2 + 12*o + 2. Let u be h(6). Suppose -3*r = -u*r - 2. Sort -4, -1, r in descending order.\nAnswer: r, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n**3 - 13*n**2 + 12*n. Let m be z(12). Suppose m = -10*d + 7*d + 15. Sort -3, d, -4 in descending order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 22897\/2 - 11432. Factor -n*k + 9 - 9\/2*k**3 - 30*k**2.\nAnswer: -3*(k + 1)*(k + 6)*(3*k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1516.33243 rounded to the nearest 10?\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 341 = -6*t. What is the remainder when t is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -492 divided by -164.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = 7*s - 12. Solve 0 = 5*k + 2 - 7, -s*l + 4*k - 24 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -47029 = 35900*b - 35374*b + 10348 + 10477 for b.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 77 - 44. Find the common denominator of ((-10)\/z)\/(4\/57) and (-2)\/66*(-57)\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 110*w - 746. Let i be p(63). What is the greatest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2808501 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, q: 1, m: 1, g: 2, f: 5, w: 3}. Give prob of picking 1 o and 2 g.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a be 12\/24 - (-2)\/(4\/(-183)). Let l = a + 188. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) 2 (c) -5 (d) 0.91 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = -2*r - 6*n + 3*n, 5*n + 5 = 5*r. Let c be (-2)\/(-15) + (-12)\/90. Sort r, 24, c in descending order.\nAnswer: 24, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*y**3 + 948*y**2 - 8856*y = 0. What is y?\nAnswer: -246, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 179*m - 86*m - 89*m + 117 to i*m + h and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/(a**(-5\/6)\/a*a)*a)**(5\/9) assuming a is positive.\nAnswer: a**(85\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the third derivative of 55*d**2 + 55\/24*d**4 + 0*d + 2*d**3 + 0. What is the derivative of y(g) wrt g?\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 107805 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 185 minutes after 4:42 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 45a3 - 18622?\nAnswer: -1403b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 48560, 97122, 145684?\n\"Answer: 48562*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 31676 * 2711.6\nAnswer: 85892641.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 619402283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -0.1, -0.15, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 8509540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*o = 20*o. Suppose -10*d + 9*d + 1861 = o. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*t**3 + 31832*t**2 - 4378080*t.\nAnswer: -4*t*(t - 7818)*(t - 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 + -3784466599.33658.\nAnswer: -3784466596.33658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2*(2 - (-86)\/4). Calculate the common denominator of (31 + 0)*v\/(-282) and -19\/402.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*-10.29.\nAnswer: 20.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -2324368\/7 > -332052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2840 and 16.\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/4 of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*5*1*sqrt(110)*2)\/((6*(sqrt(120) - (sqrt(120)*-1 - sqrt(120))))\/(sqrt(1452)*-2)))**2.\nAnswer: 2129600\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -205\/8 - -26. What is the biggest value in -0.4, -3\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 12, -223410, 4 in descending order.\nAnswer: 12, 7, 4, -223410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 117847 and 23493.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = -3*v - 3*s + 91, 2*s - 116 = -4*v. Which is the second biggest value? (a) v (b) -5 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*sqrt(48)*1 + sqrt(432) + 0.\nAnswer: 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 133821773.\nAnswer: 17, 2293, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56\/(-644) + 6 + (-6792604)\/(-161)?\nAnswer: 2, 7, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3887.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j**3 + 4*j**2 - 3*j + 3. Let v be f(-5). Let b = 11 + v. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 59.26 - 20.3. Let f = -37 + l. Round f to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:53 PM and 4:33 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 - -1. Let d(r) = r**3 + 4*r**2 + r. Let a be d(i). Suppose m - c - 7 = -2, 3*m = 5*c + 13. Solve -a*l + 2*l + 6 = -2*z, 0 = -l + 3*z - m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) 0.1 (b) 177 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -3*t**2. Let i(j) be the first derivative of 22*j**3\/3 - 23. What is x(i(z))?\nAnswer: -1452*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -2\/13 (b) 0.04 (c) 1\/8 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5 - 6. Let u = p + 0.4. Which is smaller: u or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 = 318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t**4\/15 + 994*t**3\/15 + 9686*t**2\/15 - 1758*t - 11688\/5 = 0. What is t?\nAnswer: -487, -12, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 42 and 3004672.\nAnswer: 63098112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -6125807 divided by 8\nAnswer: -6125807\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:27 AM and 7:20 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -116, -496, -1124, -1994, -3100, -4436, -5996, -7774?\nAnswer: -9764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-14)\/(-63) - 43*1\/(-9). Let b = -10 + 21\/2. What is the nearest to 0.2 in b, j, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 10*d**2. Let r(h) = -h - 37. Give r(n(o)).\nAnswer: -10*o**2 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 940, 7696, 26186, 62326, 122032, 211220, 335806?\n\"Answer: 986*x**3 - 49*x**2 + x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 286 minutes after 8:43 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 84 + -81. Solve 3*u = -0 - w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 60977642*j**3 - 258253*j**2 - 17 wrt j?\nAnswer: 365865852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -337518, -675025, -1012532, -1350039, -1687546, -2025053?\nAnswer: -2362560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -209\/840 and -19\/1296?\nAnswer: 45360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 6 = 51. What is the remainder when d is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 683944967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 + -102001434?\nAnswer: -102001431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 12*h**2 + 2*h - 6. Let c be u(5). Suppose 0 = -5*k + 10, -2*x + c = k + 2*k. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 0 - 4 = 0. Let b(j) = 13*j - 17. Let p(g) = 7*g - 9. Let q(k) = 4*b(k) - 7*p(k). What are the prime factors of q(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4760 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o**2 + 4. Let g be r(0). Suppose -73*m**3 + 5*m**g + 5 + 63*m**3 + 4*m**5 + m**5 - 10*m**2 + 5*m = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - r - 26 = 63, 4*l + 104 = -5*r. Let g = l - -33. Solve -2*m - 2*x - g = 0, 9 = -m + x + 2*x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*w + 10*t - 488, -958 = -4*w - 7*t - 606 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 83 divide 56357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c**3 - 6*c**2 + c - 3. Let k be m(6). What is the second derivative of 42*r + 38*r - 55*r**3 - 57*r + 14*r**k wrt r?\nAnswer: -246*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26710.8 milligrams in grams?\nAnswer: 26.7108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*o - 10 + 26. Let q(s) = -4 + 5 + 7*s + o*s**2 - s**2. What is the lowest common multiple of 6 and q(-9)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*b**4 - 2*b**4 + 0*b**4 + (-2*b + 2*b - 2*b**2)*(-b + 2*b**2 + b) + 47*b**4 - 8957*b**3 + 8957*b**3 + (2*b**2 - b**2 + b**2)*(0 + 0 + 2*b**2).\nAnswer: 42*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 248 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = o**3 + 18*o**2 - 4. Let p be m(-18). Let x be p + 16\/2 - (0 + -1). Solve x*a + 17 = 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**2 - 12*k + 2. Let a be r(12). List the prime factors of (-2)\/(36\/20 - a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1912 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1153 is divided by 114?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/5 + (-9)\/(-15). What is the common denominator of 119\/12 and (-171 + 5)*t\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15233 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -c + y - 4 = 0, 22*y = c + 18*y + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that 5*x**4 - 20*x**3 + 25*x**2 - 10*x = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -4*c - 6. Suppose 0 = -2*g + 3*v - 93 + 36, 4*v + 1 = -g. Let t be g\/6 + 2\/(-4). Does 10 divide a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + 0 - (-2 - -14 - 12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**2. Let c(g) = 2*g. Let w = 8 + -6. Let p(a) be the first derivative of -5*a**2 - 4. Let h(d) = w*p(d) + 11*c(d). What is h(f(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - (34 - 54 - -49)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1898.4999947388 + 1898.5. Round g to 7 decimal places.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -523*y + 8784. Calculate v(17).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.06707 - -1.93293. What is the nearest to -1\/2 in -4, u, 0.004?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -185 - -181.28. Round z to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 546 and 0.0566?\nAnswer: 30.9036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 35 + -4. Suppose -3*s - 2*g + 18 = 0, -4*s - 3*g - 2*g + l = 0. Find the second derivative of -4*t**s + 5*t - 4*t + 2*t**4 wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 3, a: 2, b: 2, o: 2, t: 1, y: 2}. Give prob of picking 2 a and 1 b.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 8436365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -7\/4, -5, 5, -3, -55.5?\nAnswer: -55.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 42 - 26. Let u be (7\/(-21))\/(7\/210)*(-1)\/(-2). Let a be (6\/u)\/(-5*s\/200). Solve -2*n + 1 = a, -5*t = -2*n + 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/(-4)*(4\/27)\/(-1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 46b2 + -1447?\nAnswer: 3268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by -26601.\nAnswer: -5\/26601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f = 4*f + 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 8 = -5*h, -4*h - 8*r = -2*r - 2. Put 1, h, 2, -1, -8 in increasing order.\nAnswer: -8, h, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 16100*r**5 + r**4 - 19746*r**2 wrt r?\nAnswer: 966000*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(1573) - (sqrt(13) - (sqrt(832) - (sqrt(832) + -6*sqrt(832)))**2)) + -5.\nAnswer: 10*sqrt(13) + 29948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 4*j**2 + 570*j + 287. Let b be l(-142). Determine x so that 962*x + 2\/3*x**b - 154\/3*x**2 + 1014 = 0.\nAnswer: -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -y - 4 = 3*a + 4*y, -28*y + 32*y = -146*a + 143*a - 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Do 6 and 51 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1531973 to the power of 1\/2, to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 221968717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17775 is divided by 102.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -1.90643 to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = f**2 - f. Let p(g) = 5*g**2 - 5*g + 1. Give -2*p(n) + 9*x(n).\nAnswer: -n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(27)\/(sqrt(9) + -3*sqrt(36)) - (-3*sqrt(24)\/sqrt(8) - sqrt(3))*-5)**2.\nAnswer: 30603\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*c + 3*c - c)*(-5 + 0 - 2)*(4 + 1 - 4)*(3*c**3 - 2*c**3 + c**3).\nAnswer: 28*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 4*b**2 - 84*b - 8. Let m be o(-6). Which is bigger: m or 641?\nAnswer: 641","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1807847 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) 5\/2 (b) 2.0341 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of -2 and 19412.4.\nAnswer: -38824.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12\/(-1*(-52)\/(-6))*(-384)\/(-576).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 4, i: 2, u: 1, c: 1}. What is prob of sequence ppui?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*j**2 - 112*j - 103*j + 215*j + 5*j**2.\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2582 is divided by 178.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3)\/6*(-61 + -7). Let t = -30 + z. Solve 0 = -5*h + t*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-77 - 26) + -56 + 52.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3232380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i**4)\/i**(1\/12)*(i**7\/i)**34 assuming i is positive.\nAnswer: i**(2507\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -28 - (50 - (12 + 116))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -15*j**3*s - 15241*j**3 + 2*j**2*s + 77*j**2 + 5497*s wrt j.\nAnswer: -90*s - 91446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -9*p**3 + 3*p**2 - 11*p + 237. Let x(r) = -8*r**3 + 3*r**2 - 12*r + 220. Let m(d) = 7*f(d) - 8*x(d). What is m(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1501610.\nAnswer: 2, 5, 11, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 0.3 (c) 8321 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 434\/(-186)*39\/(-2366)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 10*z**2 + 2*z - 3. Let w(y) = -41*y**2 - 9*y + 13. What is -9*i(s) - 2*w(s)?\nAnswer: -8*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -145\/12 and -137\/204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.08 - 6953.160268.\nAnswer: -6953.080268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/12, -0.5, 32, -1.835, -6.\nAnswer: -6, -1.835, -0.5, 1\/12, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 526 minutes before 9:25 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(sqrt(2448) - (sqrt(2448) + -3)) + (sqrt(1377) + sqrt(1377) + -3 - sqrt(1377) - sqrt(1377)) + 0)*-1)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 754 + 74*l - 754 to the form z + p*l and give p.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 532092 and 67554.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -6549, -6544, -6539, -6534, -6529?\n\"Answer: 5*s - 6554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 27685, 27693, 27701, 27709?\n\"Answer: 8*c + 27677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -2.16112 times -34\nAnswer: 73.47808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 21\/8 in 2\/9, 6, 1229?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 125789*-19.\nAnswer: -2389991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 19 = -10. Let d = -2 - -2. Suppose d*i = 3*i. Put c, i, 5 in decreasing order.\nAnswer: 5, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (9\/((-54)\/(-60)))\/(210\/252). Solve -123*v = -127*v + k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1664 is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (5\/((-15)\/6))\/(10\/5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -16 + 14 - (-2 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d\/d**(-3\/4)*d)\/d)\/d**(-1))**5 assuming d is positive.\nAnswer: d**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fmebbebeblbebbfewem. What is prob of picking 1 m, 2 b, and 1 e?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 3 + 12 = 0. Calculate the remainder when 12 is divided by d\/15 - 68\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 81592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -42693 by -14231.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 10*k = -20. What is the second derivative of 10*s**3 - 2*s - 2*s - k*s**3 + 2*s wrt s?\nAnswer: 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -11763*i + 11794*i + 4*d - 578, d = 2*i - 31 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 22 + -11. Suppose 4*j - 5*r = 2*j - 33, 0 = j + 3*r - u. Let i(p) = p**3 + 6*p**2 + 5*p + 3. Calculate the remainder when 29 is divided by i(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the third derivative of x**7\/350 - 3*x**6\/200 + x**5\/50 + 4*x**2. Find s such that r(s) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.28? (a) 0.4 (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 190.823 to one dp.\nAnswer: 190.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3)\/(-5) + 876\/15. Let c = l - 25. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-6 + 6 + 6)*(x + 0*x + x) - 4 + 105*x + 3 - 121*x + (x + 0*x + x)*(0 + 1 + 2) in the form q*x + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1131642 divided by 71.\nAnswer: 1131642\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -26*v**2 + v. Let g(m) be the second derivative of 8*m**3\/3 - 251*m + 14. What is f(g(o))?\nAnswer: -6656*o**2 + 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.07 in 0, -5, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 671215535 divided by -134243107\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 37989, 37927, 37835, 37719, 37585, 37439?\n\"Answer: a**3 - 21*a**2 - 6*a + 38015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*y = -3*y - 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*j**2*k**3 - 74*j*k**3 + 17*k**3 wrt j.\nAnswer: 4*j*k**3 - 74*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 122316 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 8*i - 11. Give q(-14).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pppkk. Give prob of sequence kk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 0, -4\/3, -9, 61\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 127644685?\nAnswer: 5, 7, 41, 88951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w and 1 e when three letters picked without replacement from {w: 2, e: 2, y: 9}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1310 - 904. List the prime factors of h.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00003819683 to 6 dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gqggqgmmkgkkkmg. What is prob of sequence kmmm?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:21 AM and 2:16 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -k. Let b(w) = 1287*w + 24. Let a(c) = 415702*c + 7746. Let n(m) = 4*a(m) - 1291*b(m). Calculate n(v(g)).\nAnswer: -1291*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6946 - 681 = 5*f. List the prime factors of f.\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k - 9, 0 - 11 = -o + 3*k. Let r(i) = -17*i**2 + 36*i - 3. Let x be r(o). Which is the closest to x? (a) -4 (b) -0.2 (c) -4\/7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/260 and 61\/420.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 683291 is divided by 174.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.55, 2\/3, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -58089 + 168089. What is x rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 54897, 109799, 164719, 219663, 274637, 329647, 384699?\n\"Answer: n**3 + 3*n**2 + 54886*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 42\/5 of a kilometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence urrj when four letters picked without replacement from rjrrrurjrrjrrj.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -13122 to the nearest one hundred.\nAnswer: -13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 10.05 - 17.55. Let g = 13 + -16.5. Let m = j - g. Which is smaller: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - 4 = -2*x. Suppose s = x*s - 3. Suppose -2*k = -4*k + 3*w + 5, 3*w - s = 0. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 69, -61, -201, -357, -535?\n\"Answer: -j**3 + j**2 - 126*j + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -z**2 - 428*z + 9837. Determine s(22).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -2021012022012 (base 3) in base 14?\nAnswer: -234d7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12\/(-6))\/(3*1)*(-39)\/845.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -281, -1807, -5865, -13727, -26665, -45951, -72857, -108655?\nAnswer: -154617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-332)\/1162)\/(2\/(-49)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1140910342.\nAnswer: 2, 11, 13, 101, 127, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-40)\/(-64)*-2 - -2. Let 1\/2*g + q*g**2 + 0 - 1\/4*g**4 + 0*g**3 = 0. Calculate g.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 14, 24, 34, 44, 54, 64?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let -2*a**5\/3 + 52*a**4\/3 + 170*a**3\/3 + 116*a**2\/3 = 0. What is a?\nAnswer: -2, -1, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g = -7*g - 3*a + 60, -37*g + 391 = 10*a - 3*a + 99 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -19 by -7295.\nAnswer: 19\/7295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-3\/5))**(1\/9)*(o**21)**(2\/75))**(-16) assuming o is positive.\nAnswer: o**(-592\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be (24\/9)\/((-4)\/(-6)). Suppose -2*f = -o - 0. List the prime factors of (-15)\/(-2)*f\/1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*j + f, -f - 12 = -4*j - 3*f. Suppose 0 = -8*t + 31*t. Which is the nearest to j? (a) 2\/13 (b) -1\/6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/15 of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 5*k**2 + 945432*k + 4727041. Determine u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6 - 3. Put x, 0, -4 in descending order.\nAnswer: x, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -2. Let d(w) = 39*w - 390. Let i(g) = -d(g) + 195*f(g). Let l(h) = -2*h. Give l(i(m)).\nAnswer: 78*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let -h**5 + 603*h**4 - 91803*h**3 + 271801*h**2 - 270600*h + 90000 = 0. What is h?\nAnswer: 1, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3 and -0.012?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 49\/4 of a millimeter in micrometers?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.541522 + -0.5346. Round p to 4 dps.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 61038?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = -3*d + 20. What is the third biggest value in -2\/21, -1, 1\/2, d?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h**3 + h**2 + 2*h. Suppose -4*c + 3*c = 0. Suppose -4*w + 2*w + 4 = c. Let v be k(w). Solve 0 = q + 5 - v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -n**2\/2 + 2741*n\/2 - 1370.\nAnswer: -(n - 2740)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.3 + 0.3. Which is the nearest to 0.1? (a) -5 (b) h (c) -9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 20 = 4*c - d, -5*c + 3*d = -8. Solve -4*v = -w - 7, -c*v + 1 = -3*w + 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -113 (base 4) to base 16.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 66 = -16. Let w be (z - -2)*2\/(-4). Suppose -20 = -5*a + a, -w*a + 14 = -y. What is the least common multiple of 4 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4210 or -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 77110831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 89637124*i**2 - 89637124*i**2 + 5*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 1, -241, 5, 4, -114 in ascending order.\nAnswer: -241, -114, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**3 - 4*o**2 + 2*o - 7. What is j(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -0.3 times 299444.7\nAnswer: -89833.41","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: -1 + 1 - (3 - (4 + -3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 72*z - 3600 = 60*z. Let o = 1035 - z. List the prime factors of o.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3515)\/4218)\/(21\/18)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 80859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = f**3 - 6*f**2 + 3. Let n be y(6). Suppose -2*i = -5*r - 34, -5*i + r = n*r - 143. Does 27 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*j**2 - 440*j**3 + 0*j**2 + 438*j**3.\nAnswer: -2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor m**2\/4 - 87*m\/4 - 2470.\nAnswer: (m - 152)*(m + 65)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -16a920 (base 13) to base 8.\nAnswer: -2121640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (0 + -1 - (13 + -20 - -1)) + 5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7583 less than 7582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 19*m - 1. Let p(a) be the first derivative of 19*a**2 - 2*a - 4. Let q(g) = -2*p(g) + 5*t(g). Is q(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -69014 = -69011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13.5 - 13.406. Let v = -4.906 - p. Which is the nearest to -1? (a) 2 (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1120333023 - -1?\nAnswer: 1120333030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/102393 and 14\/3674771?\nAnswer: 33072939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes after 6:19 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 + 6. Suppose -3*n - h = y, 4*y = -4*n - 0*n. Let u = 7 + n. Calculate the greatest common divisor of u and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -7.367 and -14?\nAnswer: 103.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -18, -41, -66, -93?\n\"Answer: -j**2 - 20*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (sqrt(304) + -2 - sqrt(19) - (sqrt(2736) + 1) - (-1 + sqrt(1216) + sqrt(19) + (0 + sqrt(19) + 3)**2)).\nAnswer: -24*sqrt(19) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18865.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -4*b**3 - 10*b**2 + 257*b - 963. Calculate i(6).\nAnswer: -645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 627*l - 708*l - 1657 = 6362 for l.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -142 + 3100210314?\nAnswer: 3100210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the first derivative of 5*k**4\/4 - 5*k**3 - 2. Factor l(j).\nAnswer: 5*j**2*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 453 minutes after 12:30 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -8*r**4 + 5*r**3 + 5*r**2 - 5*r + 90. Let y(a) = 2*a**4 + a**3 + a**2 - a + 1. Let j(k) = c(k) - 5*y(k). What is the derivative of j(v) wrt v?\nAnswer: -72*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2*(-1 - (-165)\/(-30))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5721866.\nAnswer: 2, 307, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -2 - -2 - ((4 - 5) + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1895911 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2268 + -1016. Calculate the lowest common multiple of 12 and o.\nAnswer: 3756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the third derivative of 0*x + 28*x**3 + 1\/12*x**4 + 0 + 21\/20*x**5 + 28*x**2. Differentiate q(r) with respect to r.\nAnswer: 126*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n\/((n\/(n\/(n*n\/n**0*n)))\/n)*n)**(-20\/11)*(n*n**(1\/4)\/n)**(-1\/3)*(n*n**(-1\/2))**(-7\/5)\/(n**6*(n*n*n**(-2\/9)*n*n)\/n) assuming n is positive.\nAnswer: n**(-22531\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 447 - 3581\/8. Let b = -9179\/5 - -1827. What is the common denominator of b and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 356 and 0.4?\nAnswer: 142.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -166*p + 167*p + n - 4, -5*p + 4*n = -11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 647 - 1041. Let c = g - -398. Solve 4*b + c*d - 32 = 0, 4*b - 28 = 2*b - 5*d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -3*r**2 - 31*r + 25. Let j be d(-11). Solve j*y = y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1223483287.7 - -1223483252.500001509. Let j = 35.2 + q. Round j to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, -0.03, 0, 7, -0.01 in ascending order.\nAnswer: -0.3, -0.03, -0.01, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -t - 16 + 20 + 3*t**2 + 3*t**2 as y*t + l + b*t**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 174, -1\/4, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -100 divided by -2093?\nAnswer: 100\/2093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.04 and -1.7360514.\nAnswer: -1.7760514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.5, 12, -1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 302 and 2567.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -2, -1, 3 in ascending order.\nAnswer: -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 651927 is divided by 381.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -10e - 3a?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 356 + 5?\nAnswer: 35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 85610*y**5 - 113*y**2 - y - 42843752?\nAnswer: 1712200*y**3 - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -12291*g**2 + 19492 wrt g.\nAnswer: -24582*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -818, -1652, -2502, -3368, -4250, -5148, -6062?\nAnswer: -6992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-6)\/(3 - (63\/10 + -3)). Solve -u - 2*u - j = 4*c, u = -c - 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) be the third derivative of -v**5\/60 - 2*v**2 - 72. Let t(f) be the second derivative of -29*f**3\/6 + 10*f. Give c(t(z)).\nAnswer: -841*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -2*l + 20. Let z = 1 - -11. Let k = z + 2. Calculate the lowest common multiple of k and l.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (2*(1 - 0))\/((-2)\/4). What is the tens digit of (-3)\/((-12)\/229) - 3\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s**2\/s)**38\/((s\/(s\/((s\/(s**(-1\/3)\/s))\/s)))\/(s*s*s*s**(-11)*s*s)) assuming s is positive.\nAnswer: s**(206\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 36 + -25 + 42 + -44?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*u**3 + 2 - 2 + u**3 + 0*u**3 + u**3 + (-2*u**3 - u**3 + u**3)*(0 - 3 + 5) - 2 - 5*u**3 + 2 + (-4*u**2 + 3*u**2 + 3*u**2)*(-9*u - 3*u - 5*u).\nAnswer: -39*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q + 86 = 2*p + 78, -3*p + 12 = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 22 = 4*i, -4*n - 16 = 2*i - 4*i. Let y(u) be the first derivative of -u**4\/4 - u**3\/3 - u**2 + 4*u - 7. Let g be y(0). Sort n, -1, g.\nAnswer: n, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -2*s**2 + 34*s + 623. Calculate a(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -57*p**2 + 36*p**2 - 123*p**2 + (-2 + 2*p + 0 - 5*p)*(-1 + 1 + 2*p).\nAnswer: -150*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -1\/34 (b) 0.7 (c) -1 (d) -5 (e) 0.2 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1 + 1121002?\nAnswer: 1121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -18, 3, -3, -2 in decreasing order.\nAnswer: 3, -2, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13*(-6 + (-1092)\/(-169)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -9*a - 56. Let j be d(-7). Suppose x = 3*f + j, -4*f = -4*x - f + 10. Does -2\/585 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -961 (base 10) to base 7\nAnswer: -2542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3 + (4\/(-8) - (-9)\/(-6)). Suppose -3*n + 8*n - 20 = 0. Suppose -11 - z = -n*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -57 - -27. Let m be (38\/6 + -6)\/((-2)\/t). Solve -6 = -m*o + 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 30, 62, 94, 126?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -5 and -3689905.\nAnswer: 18449525","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: What is -0.0000029602 rounded to 7 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 3 = 0, -37*h = -38*h - 2*d + 108. Calculate the remainder when 387 is divided by h.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 234370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 2*d, -3*o - 29*d + 26*d + 15 = 0. Solve -o*r + 85 = 93 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*p + 14455 = 62815. What is the greatest common factor of p and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 20*p - 8. Let z be f(4). Calculate the remainder when 2\/(-16) - (-513)\/z is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4 + 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -263720.9 rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4 - 4 - -4 - -2. Let k = p + -3. Let s(x) = 6*x - 7*x + 6 - 1 - k. Give s(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*s + 8715 = 27*s. What is the highest common factor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 480 = 2*p + 474. Solve 4*i = -6*a + 3*a + 17, 3*a - 3*i = p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3586, 4, 3, 5, 1, 7 in decreasing order.\nAnswer: 3586, 7, 5, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -180632, -361266, -541900, -722534?\nAnswer: -903168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 101*o - 25. Let v(s) = -100*s + 24. Let p(t) = -2*h(t) - 3*v(t). Let g be p(13). Let u = g + -737. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 2*p**2 + 2*p + 2. Let j(h) = -38*h + 151. Let f be j(4). What is u(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = 2*f - 33. Suppose 4*b = 4*p + 8, -b + f = 5*p + 4*b. Suppose n = 4*s + p*n + 168, -2*s - n = 84. Round s to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:03 PM and 1:26 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 111220231 (base 4) to base 6\nAnswer: 1522141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -w**3 - 89125*w**2 - 1247603*w - 4366439 = 0.\nAnswer: -89111, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z**3 - 4*z**2 - 3*z + 2. Let u be g(-3). Suppose 0 = 3*i + 2*f - 48, -80 = 2*i - 7*i + 4*f. Suppose -13*j + 17*j = 24. Solve -j = u*m - i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/5 - 10\/175*7. Suppose -5*i - 4*k + 17009 = v, 0*k + 10201 = 3*i - 2*k. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 11\/((-33)\/(-4))*36\/(-210)*5\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are -7795908\/349 and -22338 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 29.64 + -0.64. Let o = k + -32. Sort -5, -0.05, o, -3\/5 in increasing order.\nAnswer: -5, o, -3\/5, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -2*v - 1. Let y be d(5). Let z = 15 + y. What is the third derivative of 0*f**6 + f**2 - 7*f**6 + z*f**6 wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1.91 - -0.5\nAnswer: -1.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 8570*w**3 - 6*w**2 - 22*w - 9. Is h(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*q**3*s**3 - 12*q**3*s - 5*q**2*s**3 + 3*q**2*s**2 + 39*q*s - 290*s**3 + s**2 wrt s?\nAnswer: -12*q**3 - 30*q**2 - 1740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from zzzjeqweeeezaeeaz?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 8511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z**3 + 20*z = 0. What is z?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-180)\/25*40\/(-12). Let u = k - 20. Suppose 3*x = -2*a + 60, -2*a - u*x + 46 + 10 = 0. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + 0 + -3 + (8 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*i**4 + 41165*i**3 + 56492100*i**2 + 25854544240*i + 12913154240.\nAnswer: 5*(i + 1372)**3*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h**2\/4 - 3474*h - 4789125\/4 = 0. What is h?\nAnswer: -4257, -375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + z - 27 = 2*z, -2*r + 36 = -4*z. Let u be -1*2*1 - -6. Suppose -s + u*s = r. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 624307*x - 207. Let u be g(1). What is u rounded to the nearest ten thousand?\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z - 172 = -40. Let r(c) = c**3 - 16*c**2 - c + 39. Let j be r(16). Is j greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-10)\/15)\/((-20)\/(-135))*(-19)\/(171\/120)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 543 (base 7) in base 6?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pp when two letters picked without replacement from riidiiddpiidi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 less than -206657894280?\nAnswer: -206657894279.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n + 4 = -11*n, 2*n + 17 = 5*h. Let s = -0.2 + 0.3. Which is the third biggest value? (a) s (b) -1\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18 - 60*r**2 + 11 - 21 + 57*r**2.\nAnswer: -3*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 7*j**2 + 2*j - 2. Let b(g) = 6*g**2 + 2*g - 2. Let d be (((-24)\/(-10))\/3)\/((-26)\/(-585)). Let a be (50\/(-75))\/((-4)\/d + 0). Give a*n(l) - 4*b(l).\nAnswer: -3*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-2\/13))**(-13)\/(s**(1\/4))**(-2\/19) assuming s is positive.\nAnswer: s**(77\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 8240830 to the power of 1\/2, to the nearest integer?\nAnswer: 2871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/71, -2\/7, -18 in decreasing order.\nAnswer: 2\/71, -2\/7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 57, 719, 1397, 2097, 2825, 3587, 4389?\n\"Answer: z**3 + 2*z**2 + 649*z - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 89520*b + 76331 wrt b?\nAnswer: 89520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*((2*sqrt(114) - sqrt(114)) + sqrt(114)) + sqrt(114) - (sqrt(114) + -5*1*sqrt(114)))\/(2*(sqrt(150) - (sqrt(150) - 2*sqrt(150)))))**2*-6.\nAnswer: -57\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 27044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 48 and 8704?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2256.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h**3 + 7*h**2 + 6*h - 6. Let s be f(-6). Let v be -3*22\/s - -3. Solve -p = -3*y - 18, y - 2*p - v = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2 + 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n - 17 = 434658*h - 434661*h, n - 2 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 9343885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 788 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10085*y + 986*y + 9796*y**3 - 9795*y**3 to the form b*y + q*y**3 + v*y**2 + o and give b.\nAnswer: 11071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 2*z = -4*k - 5, -2*k - 35 = -5*z. Let m be (-145)\/(-4) + k\/20. Let q be m\/(-77) + 4\/22. Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 5*p. Let w(l) = -6*l. Let t(c) = c**3 - c**2 - 3*c - 4. Let x be t(3). Suppose x*n = 4*n + 8. Let s = 14 - n. Calculate s*w(v) + 7*f(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -2*h - 1036. Let a(w) = 2*w. Give a(j(i)).\nAnswer: -4*i - 2072","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xfxxfxxfxxxfxx. What is prob of sequence xxff?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Are 35 and 1744 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 1192*z + 1844*z + 220807 = 47755 for z.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 0.625 times -0.3\nAnswer: -0.1875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 2 m when three letters picked without replacement from nmnymmmnyvv?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = 819 - 446. Suppose -y = 2*y - 4*n - 389, -4*n = 3*y - z. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5069 - 4785.63. Let x = u - 129.7. Let z = x + -153. Round z to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**3 + 23*c**2 + 36*c - 264. Calculate s(24).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -12, -47, 3, -3.\nAnswer: -47, -12, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(1900))**2 - 4*sqrt(171).\nAnswer: -12*sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -51 * -20.4\nAnswer: 1040.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 376\/234 + 398\/(-7761)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 10*u**5 - 710*u**3 - 7*u**2 - 159620*u wrt u.\nAnswer: 200*u**3 - 4260*u - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - (2 - 62)) + -129*(-27)\/1161.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(176)\/sqrt(4)*3 - sqrt(44)))\/(-5*(3*sqrt(324) + sqrt(324))).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 42023164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*o - 1832*a + 1834*a + 22, -a = 3*o - 13 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6546019 millilitres to litres.\nAnswer: 0.0006546019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**0\/u*u**(-7))**(-4\/13))**(1\/31) assuming u is positive.\nAnswer: u**(32\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 36 - (9 + -2) - (8 - (-2 - -15))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 4*v**2 + 6*v + 14. Let h be n(-1). Let z(r) be the first derivative of 3*r**3 + h + 0*r - 3\/2*r**2. Find the second derivative of z(p) wrt p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/b**(-6))\/(b*b**(-7\/2)))\/(b**3)**32 assuming b is positive.\nAnswer: b**(-173\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 35*l - 13 - 687*l + 210*l + 164*l to k + a*l and give a.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -1510 = -22*m + 108*m + 5392 + 2472 for m.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -3864434 by 82222.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-16)*4*(-14)\/441*-9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (504\/112)\/(3\/192*42\/(-7)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 * -71.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 88*t - 269. Give q(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*u**3 + 3*u**3 - u**3.\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2363745.\nAnswer: 3, 5, 37, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t be 9\/(-4) + 13 + (-893)\/76. Let c = 3.8 - 4. Sort c, 2\/13, 0, t in descending order.\nAnswer: 2\/13, 0, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve u + 11 = 3*f, -4*f + 691*u - 692*u + 24 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 0.412 (b) -3 (c) 0 (d) -1.561 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v**2 + 231277614*v + 4457444561461083 = 0 for v.\nAnswer: -38546269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 - 8. Let z be 3 - (d - (-1 + -2)). Let u(i) be the first derivative of -i**2 - 2*i + 17. What is u(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 8, k: 3}. What is prob of sequence ykyk?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be 200\/16 - 12 - (-35)\/(-170)*3. Put 157, 4, 1, m in increasing order.\nAnswer: m, 1, 4, 157","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4 - 2. Let s be 1\/2 - 21\/(-6). Suppose s*k + 16 = 0, -2*b + 8 - 4 = 3*k. Solve -9*i = -5*i - t*r - b, 0 = -2*r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z**5\/7 - 592*z**4\/7 - 30228*z**3\/7 - 574472*z**2\/7 - 1356608*z\/7 + 5164032 = 0.\nAnswer: -56, -41, -16, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o and 1 s when three letters picked without replacement from {o: 3, s: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10673*d**2 - 21347*d**2 - 24*d - 15*d + 10677*d**2 - d.\nAnswer: 3*d**2 - 40*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -47*t - 9. Let n be v(-3). Let p = 164 - n. What is the remainder when p is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 1 (b) -1\/31 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: c1c9 (base 15) to base 2\nAnswer: 1001111111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y + 1. Let r(s) = s + 3. Let j(f) = -6*h(f) + r(f). Find the first derivative of j(o) wrt o.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d + 25 = 30*i + 83, 2*d + 19 = -5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 0.3055692 centuries?\nAnswer: 3.055692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 5057048 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 9*f**2 + 9*f - 101. What are the prime factors of i(-15)?\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2062 divide 118818626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.9 and 1053.1?\nAnswer: -947.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 3 - 5 + 2*u**2 - 5*u - 9*u**2 - 3. Let s(z) be the second derivative of 1\/2*z**4 + z + 2\/3*z**3 + 2*z**2 + 0. What is -4*h(q) - 5*s(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3 + 8. Calculate the highest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 (base 9) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 22645?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2 - -8. Let z = c - -23. List the prime factors of z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 4, y: 8, w: 4}. Give prob of picking 1 j and 1 w.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + (3 - 3) + (4 + -1 - (64 + -58)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3.01 + -0.01. Let s = -4582 + 4580. Which is the nearest to -2\/17? (a) s (b) o (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 6) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -88 + 80 = -2*g. Solve 134*y - 65*y**3 + 7*y**4 - 7*y**5 + 10 - 52*y**g - 3*y**5 - 119*y - 25*y**2 = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 22.42 - 23. Let p = b + 13.98. Round p to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = m**2 + 7*m - 8. Let u be q(-8). Suppose 5*w = a + 8, u = -4*a + 3*a + 2*w - 2. Let l be (a - 4) + 7\/1. Solve 0 = -5*k + 6*k + l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -53 + 42. Which is greater: -10 or j?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2962*g**4 + 1735*g**3 - 13877874 wrt g?\nAnswer: 11848*g**3 + 5205*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -28*u**2 - 82*u - 370. What is w(-5)?\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 26 + -20. Solve -4*m - 22 = 2*b, j - 15 = 3*b - 2*m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -100*s + 72 = -92*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, -201, 3\/8 in decreasing order.\nAnswer: 3\/8, -14, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4352 and 15840.\nAnswer: 2154240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 22\/285, -1, -2\/11, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a = -5*v + 34, 2*v + 3*a + 270 = 280 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*n + 223999 - 1011141 = 166392. List the prime factors of n.\nAnswer: 23, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/(-14) + 235\/35. Suppose x + 2 - w = 0. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:27 AM and 11:49 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-756190)\/(-60) + (-2)\/12. Suppose -12932 = -5*f + l. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1528295 and 114243.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p**3 - 15*p**2 - 16*p + 2. Let w be a(-14). Suppose w*n = 26*n + 8. Find d, given that 0*d**n + 0 + 2\/9*d - 2\/9*d**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(1*sqrt(2000)*-1 - ((3*sqrt(140))\/sqrt(7) + -2)) + -1)**2.\nAnswer: -2860*sqrt(5) + 84621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -90899 - -45904093\/505. Is -1 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 654*s = -248*s + 114*s - 987 - 589 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 74?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*o - 8 + 8)*(40 + 74102*o - 148142*o + 74110*o) in the form n*o + t + b*o**2 and give n.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 950 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15136, 15174, 15248, 15364, 15528, 15746, 16024, 16368?\nAnswer: 16784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 540596 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -31\/20484 and -23\/7464142?\nAnswer: 134354556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*c**3 - c**3 - c**3 + (-1409 + 3121 - 1566)*(-c**3 + 0*c**3 - c**3).\nAnswer: -289*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 2, -4, -14, -28, -46, -68?\n\"Answer: -2*m**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {q: 8, i: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17548?\nAnswer: 2, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*-1*sqrt(112) - (sqrt(112)*-1*3)**2) + -5.\nAnswer: -1013 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 876399, 876259, 876119, 875979, 875839?\nAnswer: 875699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 10021 (base 3) in base 5?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*b**3 + 14*b**5 + b**3 - b**2 - 4 + b**4 + 8*b - 13*b**5.\nAnswer: (b - 1)**3*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -11*n - 15*n - n**2 + 17 - 4. Let d be b(-24). Let h = d + -45. What is the smallest common multiple of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 129892432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -679, -2856, -6439, -11326, -17415, -24604, -32791?\nAnswer: -41874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58 = -188*w + 58. Let i = -0.2 + 0.1. Which is the closest to w? (a) 1\/3 (b) -0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2 + (-1 - 0))*-1. Let w(g) = g. Let b be w(j). Let m(r) = r - 7. Let z(t) = t - 7. Let n(c) = 3*m(c) - 2*z(c). Calculate n(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 2*p - 32. Let u be t(17). Solve -m + 3 = u*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19191 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/(-12))\/((-2)\/10)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2269*a + 2272*a - 44127 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p*p\/(p*p**(-3)*p*p)*p*p\/((p*(p*p**3)\/p)\/p))**(-3\/8)*(p\/p**(-5)*p*p)\/p*p**(2\/5)*(p**(-1\/4))**(-48) assuming p is positive.\nAnswer: p**(373\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -601, -574, -535, -478, -397, -286, -139, 50?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4188*v = -4183*v - 234405. What are the prime factors of v?\nAnswer: 3, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4197\/500 - -268\/125. Suppose 2*u = 5*u + 54. Calculate the common denominator of b and 4\/18 + (-215)\/u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 6, m: 8, w: 1}. Give prob of picking 1 w and 2 z.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 64450, 258005, 580588, 1032193, 1612814, 2322445, 3161080, 4128713?\n\"Answer: -t**3 + 64520*t**2 + 2*t - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*j - 43*j - 15*j + 68*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(66)*-1 + sqrt(66)))\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 220 divide 42233180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1505, -1398, -1293, -1190, -1089, -990, -893?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence et when two letters picked without replacement from {k: 1, f: 2, y: 5, m: 7, t: 3, e: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/(240\/96)*20\/(-48)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10\/(-66))\/(204\/(1346400\/(-120)))?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 768 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = 488 - 490. Let w = 12.22 + -0.22. What is the second biggest value in 0.3, b, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x**2 - 128*x = 0.\nAnswer: 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**3 + 3*w**2 - 1. Determine a(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(720)\/sqrt(9) - (4*sqrt(5) + sqrt(5) + -3) - (5 + sqrt(245)*2 + 3*(1*sqrt(245) + sqrt(245) + sqrt(245))))**2.\nAnswer: 312*sqrt(5) + 30424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**3 - 12*y**2 + 7*y + 14. What are the prime factors of u(-13)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2392 divided by -8.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-9)\/2 - (-3)\/6. Let a = 3 - t. Let d = -0.06 + -0.14. Put a, -1, d in decreasing order.\nAnswer: a, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3424235 a multiple of 515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 59*t + 273*t = -50*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -4 (b) 1.97 (c) -14\/9 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 52\/4940*(-100)\/10.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let z be (-10)\/4 + (-21)\/(-14). Calculate the remainder when 73 is divided by (z\/3)\/((-5)\/285).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:29 AM and 6:56 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 767, 1537, 2307, 3077, 3847?\nAnswer: 4617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.051, 20\/39, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sssssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1 and 432245.\nAnswer: -432245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 2*g**2 + 8*g + 7. Let n be f(-5). Suppose n = 4*k - 3. Suppose -7*d = -z - 2*d + 18, 42 = k*z - d. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 2*l. Let a be c(2). Suppose -a*k = k. Suppose 5*v = 4*p - 29, -4*p - v - v - 6 = k. Solve -3 = h + p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26891209999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 18 - 189?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z**3 + 20*z**2 + 21*z + 24. Determine o(-19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the first derivative of -5*n**8\/672 + n**6\/48 + n**2 + 2*n - 180. Let r(t) be the second derivative of b(t). Find c, given that r(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3868 + 1030. Let s = c - -5267. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by -22967.\nAnswer: 5\/22967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v**5 + 9074*v**4 + 11093318*v**3 + 1723303510*v**2 - 123399396848*v + 1854980833888 = 0.\nAnswer: -2171, -251, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x**2 - 13*x + 18. Let j be i(12). Let b(h) = h**3 + 4*h**2 + 6*h + 5. Let s be b(-3). Sort 2, s, j in decreasing order.\nAnswer: j, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*y**4 - 6735*y**3 - 5021937*y**2 - 1230086181*y + 10165554024.\nAnswer: -3*(y - 8)*(y + 751)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -223 - -424. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 945 and 35490.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 2*z**3 + 9*z**2 - 8*z - 11. Let i = -3399 + 3394. Determine p(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0\/((-10)\/(-7 - -2)). Let k = 1 + -2. What are the prime factors of k - (l - -1) - -30?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + 1104 = 8*r. Suppose -r = -2*l - 4*f, 0 = 5*l + 3*f + 537 - 1429. Is l greater than 175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 938034?\nAnswer: 2, 3, 29, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**2 + 6*a - 5. Let m be b(4). Suppose -m*u - 3 = -4*u. Suppose 21 + 51 = u*y. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14191231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n be 7\/28 + (-21)\/4. Let g = n - -6. Which is the smallest value? (a) g (b) 4 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 913847253 and 1749.\nAnswer: 1749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -29, -19, 3, 43, 107, 201, 331, 503?\n\"Answer: c**3 + 3*c - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1501 = 3*f + c - 995, f - 827 = -2*c. Let t = f + -366. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by 14196517.\nAnswer: 4\/14196517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 125178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -111 - -195. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2495106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 105619322 + -105619306.60000241. Let b = -15.4 + l. What is b rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(-4) - (-5)\/(-2). Let g = -16 - -34. Let q(y) = -4 - g*y**2 + 0*y + 15*y**2 - 4*y. Let b(i) = -i**2 - i - 1. Give k*q(f) + 7*b(f).\nAnswer: -f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c - 39 + 17 = 3*q, -5*q - 25 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -h + 3. Let v(k) = k - 11. Let o be v(17). Let b(m) = -m + 3. Let g(s) = o*b(s) - 7*p(s). Determine g(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4 + 5. Suppose -5*i = -0*i - 3*m - 19, -3*i + 5 = -5*m. Suppose -i*o - 3*j + 40 = 0, -2*j = -3*j. Solve -4*g = s + o, -4*g - 11 - k = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -7*x. Suppose -4*p - 2*c = -26, 3 = 3*p - 4*c - x. Solve 5*a + p + 1 = r, -2*r - a + 1 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1 - ((-6)\/5)\/((-3)\/(-5)). Solve 12*z - j = 9*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -6658 and 0.43?\nAnswer: 6658.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 297 divide 300089988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*m - 16*m = -4*i - 84, 4*m = i + 112. What is the lowest common multiple of 140 and m?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**3 - 2*w - 3. Let d = 191 - 184. List the prime factors of x(d).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.1 - 0.3. Let q = z - 0.8. Suppose -2*w - 10 = -0*w, -4*s = -5*w - 25. Which is the biggest value? (a) 4 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2248.5296 to the nearest ten.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j be (9\/6)\/1*4. What is the third derivative of 0*z**2 - z**2 - z**6 + 4*z**6 + 0*z**j wrt z?\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 12) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -3*q - 10. What is j(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 12*h + 4. Let l be d(-5). Let s(o) = -14*o + 58. Let i be s(5). Find the common denominator of l\/i*(-42)\/(-40) and 35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/45 of a week in minutes?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000188513 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5699 + -5721. Which is bigger: v or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 24\/385 + -1\/11. Do -1 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*p**3 + 2*p**2 - 3*p**2 + 4*p**3 + 5*p**2 wrt p?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 207*r - 1400. Let s be o(7). Sort -22, s, 5 in decreasing order.\nAnswer: s, 5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24953856 divided by 6?\nAnswer: -4158976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -503*p**3 + p - 6*p + 5*p.\nAnswer: -503*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -337 times -0.09\nAnswer: 30.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.468998 rounded to two dps?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.7 in -2, 0, -0.1, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 238 or 205?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -v**3 - 24*v**2 - 208*v - 903. Determine x(-15).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 106 + -105.9914. What is w rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3 (b) -2\/17 (c) -143\/6 (d) 0.5 (e) -5 (f) 4\/65\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-5)\/30 - (-5 + 4). Which is smaller: p or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2, 3\/4, -9, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -375 - d + 3*d**3 + 4*d**3 + 1028 - 6*d**3.\nAnswer: d**3 - d + 653","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 2*n = -1, 0 = h + 3*h + 4*n + 8. Let b be 152\/h - (-4)\/6. What are the prime factors of b\/(-3) - 7\/(-21)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(6)\/sqrt(3))**2 + 2*sqrt(162).\nAnswer: 18*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the third derivative of d**4\/24 - 2*d**2. Let f(u) = 2*u**2. Give j(f(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -27168740, -54337481, -81506222, -108674963, -135843704, -163012445?\nAnswer: -190181186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 29\/1062 and -23\/590.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 732?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be 6*(-6)\/24*296\/18. Which is smaller: -26 or f?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 131 + -521\/4. Let o be 2*(-3)\/(-15)*-1. Which is the smallest value? (a) o (b) -0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9187363 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) be the second derivative of i**5\/60 - i**4\/6 - i**3\/6 + 5*i**2\/2 + 2*i. Let k(y) be the first derivative of o(y). What is the units digit of k(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (397 - (2 + -1)) + 26 + -26. What is the greatest common divisor of 36 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*z + 3*z + 12, 2*i + 9755 = 3*z. Let f = -87673\/18 - i. Let g = f - -2\/9. Which is greater: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b = -4*y - 16, 200*y - 16 = -3*b + 205*y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 2*v**2 + 70*v - 5399. What is g(37)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 63490, 63488, 63486, 63484, 63482, 63480?\n\"Answer: -2*n + 63492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 2217, 2219, 2223, 2229, 2237, 2247, 2259?\n\"Answer: a**2 - a + 2217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 20029454, 20029458, 20029464, 20029472, 20029482?\n\"Answer: j**2 + j + 20029452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 920.954475 milliseconds in weeks?\nAnswer: 0.0000015227421875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/60)\/(18\/(-45))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**4*o)\/o*(o**(-18\/5)\/o)\/o)\/(o**(-3\/2)*o*o)**(-3) assuming o is positive.\nAnswer: o**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 4, i: 2, y: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -530*g + 12*g**2 + 1053*g + 12 + 2*g**2 - 523*g as v + r*g**2 + l*g and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence buu when three letters picked without replacement from uuttbttuutu?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 2*k**2 - 4*k. Let t(s) = -4*s**2 + 9*s. Let x(c) = 4*t(c) + 9*w(c). Let j(o) = -2*o**2 - 5*o**2 + 7*o**2 + 5*o**2 - 4. Give j(x(a)).\nAnswer: 20*a**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -2993, -11657, -25987, -45983?\n\"Answer: -2833*r**2 - 165*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 227838*b**3*j**2 - b**3*j - 5*b*j**2 - 60*b + j**2 + 1156*j wrt b.\nAnswer: 1367028*b*j**2 - 6*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 700789, 1401583, 2102377, 2803171, 3503965, 4204759?\nAnswer: 4905553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find z such that -z**4\/7 + 72*z**3\/7 - 78*z**2 - 224*z + 2205 = 0.\nAnswer: -5, 7, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 644808761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-7392)\/(-2772)*9\/4*4\/24*-62?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + 2*y - b = -61, 0 = y + b + 35. Let k be ((-8)\/y)\/((-3)\/(-36)). Suppose k*v = -2*v - 10. Let h(w) = w**3 + w**2 + 4*w + 3. Give h(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -105454 - -5?\nAnswer: -105445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -3025.1 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = 403 + -1639\/4. Let s = 2793 + -8086\/3. Let k = s + -78. Calculate the common denominator of c and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2 - -1)*(-12 + 10). Let v(z) = 6*z**3 - z**2 - 2*z - 1. Let n be v(j). Let q = n + -10. What are the prime factors of q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 7\/269? (a) -5 (b) -0.1 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the second derivative of v**4\/6 - 4*v**3\/3 + v**2\/2 + v. Let s(g) be the first derivative of u(g). Is s(6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 165075324*s**4 + 383056864 wrt s?\nAnswer: 660301296*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that -5*q**4\/2 + 25*q**3\/2 + 15*q**2\/2 - 85*q\/2 + 25 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 12420 and 3528.\nAnswer: 1217160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1180743.\nAnswer: 3, 393581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -18 + 13. Let z(y) be the third derivative of -y**6\/120 + y**5\/60 - y**4\/12 + y**2. Let s(r) = r**3 - r**2 + 2*r. Determine a*z(c) - 6*s(c).\nAnswer: -c**3 + c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = n**2 - 3*n - 1. Let o be w(-1). Suppose -o*v = -6, 50 = -4*x - 22*v + 23*v. Is x less than or equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 + 0 - (23 - 6 - 0).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 164*k - 169*k + 3*h = 17369988, -k = h + 3474004. Round k to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 23715 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(112)*-5 + sqrt(112))**2 - 3*2*sqrt(112) - (-2 + sqrt(112) + 0 + (sqrt(112) + -1 + 2)**2).\nAnswer: -36*sqrt(7) + 1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -9135*p**5 + 4 + 7832*p**5 - 2 + (-2 + 2 - 3*p**2)*(p - p - p)*(2*p**2 - 2*p**2 + p**2).\nAnswer: -1300*p**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3680064*q**2 - q**3 - 3680064*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the first derivative of -5*v**4\/12 + 2*v**3\/9 + 6. Factor j(h).\nAnswer: -h**2*(5*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -8922 + 8917. Let n = -126 - -632\/5. Which is the nearest to -3\/2? (a) 5 (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 25*d*i*l*n - 2*d*i*l + 938*d*i*n**2 + 2062*d*n**3 - 2*d - 554*i*l*n**3 + i*n**2 - l*n**3 + 2*l*n - n**2 - 33*n wrt n?\nAnswer: 12372*d - 3324*i*l - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 289356.\nAnswer: 2, 3, 24113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 155830 to the power of 1\/2, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 32125641 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -14209*v**3 - 4*v**2 + 2*v - 6. Let d be y(-4). Let u = -119298 + d. Round u to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.3 - -0.1. Let h = 0.08 + 0.12. Let u = -4.93 - 0.07. What is the second biggest value in h, t, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 577532.9 + 7238.295.\nAnswer: 584771.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q**2 + 8*q + 4. Let r(h) = 0*h**2 + h**2 - h**3 + 1 + 7 - 8*h + 5*h**2. Let o be r(5). Determine b(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 2*h**3 - 2*h**2 + 2*h - 1. Suppose 0 = -42*v + 45*v - 3. Determine y(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -405*w + 100*w + 174*w to b*w + y and give b.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-198)\/27)\/(-22))\/((-2)\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 8750800829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1*1272)\/(-3) - (-4 + 9). Let h = -172 - u. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the first derivative of -2*a**5\/5 + 7*a**4 + 11*a**3\/3 + 2457*a**2 - 14183. Find the second derivative of w(z) wrt z.\nAnswer: -24*z**2 + 168*z + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 68704625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51 = 5*x - 274. Differentiate -63 - w - 42*w**2 + w + x*w**2 wrt w.\nAnswer: 46*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9603*s**3 + 2*s - 17746*s**3 + 8022*s**3.\nAnswer: -121*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -361, -17, 120 in ascending order.\nAnswer: -361, -17, 4, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -46 + -3 - (-121 - -93).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in -2, 0.4, 3, -86, 5, 4, 9209?\nAnswer: 9209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 1423638 by 711819.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = t + 2*c - 6, 2*t - 6*c = -2*c - 28. Let v = t - -3. Let m = v + 13. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 318381334?\nAnswer: 2, 2153, 73939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = 33 + -29. Suppose -4*d - d = -60. Let x(t) = -15*t - 40. Let l be x(-3). Solve -n*j + 4*w = -d, j + j - l*w - 3 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6\/(0 - 2 - (-7)\/2). Suppose -204 = -c*f - 0*f. Factor 51 - 4*g + 4*g**3 - f.\nAnswer: 4*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (264\/60)\/(2\/5). Does 5 divide (o - -1)\/(4\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -28, -23, -1, 0 in decreasing order.\nAnswer: 5, 0, -1, -23, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -3*q + 2*q. Let w be (-20)\/40 - ((-13)\/2 + 2). Put q, 0, w in decreasing order.\nAnswer: w, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 283 = 10*q + 5*o + 223, 3*o - 11 = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 11 = -13. Suppose -2*r + 4*r = -a*t + 224, 2*t - 442 = -4*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.3427523631 and 33562?\nAnswer: 33562.3427523631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11451*v**2 + 23047*v**2 + 4*v**3 - 10973*v**2.\nAnswer: 4*v**3 + 623*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 121063511?\nAnswer: 17, 281, 25343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 364\/3 - 121. Sort 0, 3, w in decreasing order.\nAnswer: 3, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 49*z - 363 - 273 = 1 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 - (6 + -5 + 1 - 19).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -404*p**2 - 35*p**3 + 70*p**3 - 39*p**3 - 1.\nAnswer: -4*p**3 - 404*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 897*b + 161. Let c(h) = -28*h - 5. Suppose p + 35 = a + 31, -4*p = 3*a + 23. Give p*f(t) - 161*c(t).\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the first derivative of d**4\/16 - d**3\/12 - d**2\/8 + d\/4 + 8. Determine n, given that v(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 + -3. Let n be 1*(-2 - (-80)\/45). Let t = 0.29 + 0.11. What is the third biggest value in t, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 5*o - 14 = d, -3*d + 2*o = -2. Suppose r = -d*r + 15. Suppose 0 = -c + s + 69, -3*c - 140 = -r*c + 3*s. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (((-130)\/225)\/(-13))\/((-144)\/(-950)) and -63\/20.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -113*l - 54. Let h(f) = 3*f**2. Calculate h(q(m)).\nAnswer: 38307*m**2 + 36612*m + 8748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 16816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 3.538412 meters?\nAnswer: 3538.412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 163 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -27*p + 12. Let c(i) = 11*i - 5. Suppose 0 = 2*l - 3*a + 18, 2*l - l + a = -14. Let s(u) = l*c(u) - 5*q(u). Let m(n) = n**2. What is s(m(v))?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2174 - 1008. What is the greatest common factor of 212 and y?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 0*j + 9*j**3 + 12493 - j - 19*j**2 - 11807 wrt j.\nAnswer: 54*j - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.1, 10\/41, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-8)\/(-2 - 2)*2. Let i(w) = 10*w. Let r be i(o). Suppose 2*l + 2*l = r. What is the remainder when 18 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q\/(q*q**1\/q*q)*q*q**1*(q*q**(-1\/6)*q)\/q**4*(q*q**1\/q)**37\/((q\/(q*(((q\/q**0*q)\/q)\/q)\/q))\/q*q*q*q\/(q\/(q*q**(-2)))) assuming q is positive.\nAnswer: q**(209\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 38 + 31 + -166 + 114\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, g: 2, r: 1, o: 1, n: 1, c: 1}. Give prob of picking 1 i and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 5, 46, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 4*t + 4 = 0, 3*x + t - 6 = 2. Suppose -i + r + 1 = -9, -i = x*r - 7. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = v**2 + v - 2. Let z be g(2). Let k(d) be the first derivative of 2 + 0*d**2 + 3\/10*d**5 + 0*d + 1\/6*d**3 - 3\/8*d**z - 1\/12*d**6. Factor k(s).\nAnswer: -s**2*(s - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and 2883.3?\nAnswer: -11533.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(-2)*(-2 + 65). Let q = -45 - p. Solve 2 + 21 = -3*n - 2*s, 0 = 2*n + 2*s + q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/53 in -0.057, 5, -2\/17?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-5)\/(20\/(-6)))\/6. Let w be ((-1)\/(-10))\/(12\/50). Let b = l + w. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -31*h - 17. Let l be x(-4). Suppose -b + l = -372. Suppose -j + c = -0*c - 471, -j = -5*c - b. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -33\/164 + -2\/41. What is the second biggest value in -0.05, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -6, -0.1698, 0.5, -1\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(76) + (sqrt(76) + sqrt(76) + (sqrt(76) - (1*sqrt(76)*-6 - sqrt(76))) + sqrt(76) - sqrt(76)))\/(sqrt(16)\/(sqrt(4)*1)) + 0 + 2 + -3)**2.\nAnswer: -22*sqrt(19) + 2300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 3 = 4*y. Suppose -7*k = -3*k - 8. Is k bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = -4*a + a - 20, -2*a = 8. Suppose -5*k = -6 - 44. Calculate the highest common divisor of o and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.357 + -1.29. Let g = 224.833 + -225. Let o = v + g. Sort 0.5, -1\/3, o in decreasing order.\nAnswer: 0.5, o, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -10*v - 4. Let m(p) = 10*p + 3. What is -5*m(f) - 4*w(f)?\nAnswer: -10*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tmmlmlj. What is prob of picking 2 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k**2. Let t(l) = -161124366*l. What is t(f(b))?\nAnswer: -161124366*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 551858*f**2 - 3 - 555303*f**2 - 3454*f**3 + 3 wrt f?\nAnswer: -20724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l + 10 + 10. Sort 0, -93, l, 1 in descending order.\nAnswer: l, 1, 0, -93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3843)\/732*(-32)\/(-1904)\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (42 + 197*n - 104 + 62)*(3*n - 21 + 25 + 36) to the form a*n + r + y*n**2 and give y.\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4.2093 + 0.2093. Which is smaller: -101 or m?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -67\/30 and 103\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 38, 20, -24, -106, -238, -432, -700?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13.68 - -0.32. Let j = h - -68. Which is the second biggest value? (a) 0 (b) -2 (c) j (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 2 - 1)*(-6*u + 6*u + 7*u)*(3 - 84 - 61 - 161) as t + l*u and give l.\nAnswer: -4242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 67 divide 1493908727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 4*(-4 + ((sqrt(10)\/sqrt(2))**2*-3 + sqrt(5) + (sqrt(45)*-1)\/sqrt(9) - (sqrt(15)\/sqrt(3)*-5 + sqrt(5) + -3*sqrt(5)*2))*-1).\nAnswer: -40*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 855 = 61*n + 224*n. Suppose -5*b - 2 + 37 = 0. Solve 2*x = n*z + b, -4*x + 2 = -z - z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fo when two letters picked without replacement from oumxlmf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1006404 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -7052, 6, -12, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 94871626*s**3 - 218397921*s**2 wrt s?\nAnswer: 569229756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1396, 1, -4, -59, 2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-11)\/55)\/(-8 + (-9 - -9) + 9)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3)\/1*26\/6. Let z(y) = 2*y**2 - 15*y - 16. Let j(h) = -h**2 - 3. Let q(r) = -3*j(r) - z(r). What is q(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -a**4 + 0*a**2 + 2*a**2 + 0*a**3 + 4*a**3 - 2*a as k*a**3 + i + h*a + m*a**2 + r*a**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -293595*o**2 + 2*o + 58976 wrt o?\nAnswer: -587190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-39)\/(-8) + 8\/(-24 + 88).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 136 and 43112.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9009 is divided by 561?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 311003112 + 5?\nAnswer: 311003121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xg when two letters picked without replacement from {w: 1, n: 3, a: 3, x: 2, g: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1908 - 984. Let o(l) = -189*l - 1. Let v be o(-3). Suppose -10*s + u = -v. List the prime factors of s.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -17*f - 44. What is i(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/((o*(o*o*(o**(-1)\/o)\/o)\/o)\/o)*o*o\/o**(-1\/5)*o)\/(o**0)**(-11\/4) assuming o is positive.\nAnswer: o**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 7 = 2*j, b - 171*j + 175*j = 43. Calculate the remainder when 687 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = 4*d + d. Let j(g) = g - 14. Let a be j(19). Let w(x) = -a*x**2 - 4 + 2*x**2 + 0*x**2 - 3*x**2 - x**3. Determine w(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33292812 divided by 191338?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 3817247983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.05 in -6, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -1000110011011111001 (base 2) in base 16?\nAnswer: -466f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -4\/9 > 216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-204)\/(-176) - 9\/36. Which is the closest to z? (a) 0 (b) 0.06 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 16 + -3*(-4)\/3. Suppose -6 - d = -13*m. Put -3, -4, m, -1 in descending order.\nAnswer: m, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t**2 + 42*t = 0. What is t?\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**4\/13 - 22*u**3\/13 - 48*u**2\/13 + 72*u\/13.\nAnswer: -2*u*(u - 1)*(u + 6)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1090095217.\nAnswer: 467, 2334251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*z**3 - 7515*z**2 - 45270*z.\nAnswer: 5*z*(z - 1509)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (112*m - 11*m - 14*m)*(-3 + 3 + 1) + 2*m + 3*m - 3*m + (1 - 1 + 2)*(-5*m + 4*m - m) - 3*m + 2*m + 0*m to the form s*m + z and give s.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 195 minutes before 7:55 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 3622*a - 14480. Give x(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 5, h: 5}. Give prob of sequence hh.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -3*b**2 - b + 1. Suppose 4*c = -0*c - 20, 5 = 5*a + 3*c. Let l(s) = 2*s**2 + s - 1. Calculate a*q(z) + 5*l(z).\nAnswer: -2*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = -80 - 160. Suppose -3*b - v = 5*c, -7*c + 2*c - 5*b = 40. Let i = 18 + c. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 127588 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:50 PM and 7:31 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 0 + 0)*(30*o**2 - 10*o**2 + 26*o**2) + (-3*o - 3*o + 5*o)*(3*o - 5*o + 0*o) as f + m*o**2 + q*o and give m.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = 482 - 480. What is the derivative of -135 - 67*n**j - 4 + 3*n**3 - 14*n - 13*n**3 + 67*n**2 wrt n?\nAnswer: -30*n**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (16\/8)\/(-56*(-7)\/(-7644))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 139411457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -56*n - 2. Let r(h) = h**2 + 9. Calculate r(m(d)).\nAnswer: 3136*d**2 + 224*d + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k - 10 = k. Let r(p) = 6 - 1 + 8*p**k - 7*p**2. What is the remainder when r(5) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -h*n**4 - 63*h*n**3 - 33*h*n**2 - 2*h*n + 3*h + 45*n**4 + n**3 + 286*n**2 - n wrt n.\nAnswer: -24*h*n - 378*h + 1080*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8865 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1, -4, 0.1, 9, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w + 0*k = 2*k - 22, 4*k = -4*w + 24 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 + 13 - (3 + 1 - (1 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x**2 - 6*x - 5. Let u(y) = 18*y - 174. Let b be u(11). Suppose -3*g + 6*q = q - 18, -5*q + b = 4*g. Calculate f(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 386 minutes before 7:12 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-24)*6)\/(600\/64).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 152150907 divided by 3?\nAnswer: 50716969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2042.\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 141 + -5552?\nAnswer: -5411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6513\/668)\/(((-16)\/(-4))\/(-16)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 9 = 26. Suppose -2*p = -8 - 0. Calculate the remainder when r is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x = 6395 - 6380 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 10357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -506468 greater than -506469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -7446*o**2 - 44400*o + 1651. Calculate h(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 2094233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 52 + -38. Let k be 2\/(-3 - 14\/(-6)) + g. Suppose -k*y + 3*y = -264. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 51\/110572 and -97\/8616.\nAnswer: 663432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the third derivative of h**8\/2240 + h**6\/144 - 3*h**5\/20 + 3*h**2. Let x(m) be the third derivative of s(m). Differentiate x(i) wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -d**3 + 8*d. Let c be x(4). Let k = c - -29. Let n = 2.05 - 0.05. Put k, 5, n in ascending order.\nAnswer: k, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10827350.\nAnswer: 2, 5, 83, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -a**2 - 5*a + 4. What is the lowest common multiple of x(-4) and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uvu when three letters picked without replacement from {i: 2, v: 8, u: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve b = 2*b + 5*u + 23, u + 10 = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 488 minutes after 9:11 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 112 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -122, -474, -1058, -1874, -2922, -4202, -5714?\n\"Answer: -116*u**2 - 4*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -24*r. Let o(t) = -66 + 3*t**2 + 17 + 47. Determine c(o(y)).\nAnswer: -72*y**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-787 - -707 - (1 - 45)) + -48\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that -242*u**5\/9 - 257620*u**4\/9 - 68632274*u**3\/9 - 12459440*u**2\/3 - 566048*u = 0.\nAnswer: -532, -3\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 14961 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (i - 4*i + 2*i)*(-3*i - 3*i + 2*i)*(4 - 5 + 2)*(1 - 2 + 2) as h*i + y*i**2 + z and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 524*u - 520*u - o = 14, 0 = 3*u + o - 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 291409 is divided by 193.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 350213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(17) + (sqrt(102) - (sqrt(102)*-1 + sqrt(102)) - sqrt(102))\/sqrt(6) + sqrt(1088) + 0)**2 + sqrt(136)\/sqrt(72) + sqrt(170)\/(sqrt(10)*1).\nAnswer: 4*sqrt(17)\/3 + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 3, m: 1, w: 5}. What is prob of picking 1 w, 1 m, and 1 h?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 1\/10 (b) 0.03 (c) 5 (d) -0.09261\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 98.63672 grams to tonnes.\nAnswer: 0.00009863672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kzzzzzzkkkzkz. Give prob of sequence kk.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 19 minutes before 5:01 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 235928860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the third derivative of -5\/6*m**3 + 0*m - m**2 + 0 - 1\/24*m**4. What are the prime factors of u(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*g + 5*g - 90 = 11*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) be the first derivative of c**2 + 2068. Let x(r) = -548*r + 2. What is x(z(d))?\nAnswer: -1096*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 234 divide 94020966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 81, 216 in descending order.\nAnswer: 216, 81, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 11044*b - 11048*b = -23 - 21, 3*q = -3*b - 0*b + 45 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 13 = -3*l - 38, -39 = -3*a - 3*l. List the prime factors of a\/12*3 - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -5*p + 1. Let n be d(-1). Let t(c) = c**2 + 44*c - 480. Let v be t(9). Put 2, v, n, -5 in increasing order.\nAnswer: -5, v, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dlldlldddddldldl. What is prob of picking 1 l and 3 d?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n + n = -2*u + 42, 0 = 2*n - 2*u + 12. Let w(b) = 2*b**2 - 15*b + 9. Let q be w(6). Which is bigger: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 0*v + 44383 = -4*v, 3*v = -5*b + 73933. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*j + 3*j = -12. Find the third derivative of -3*w**4 - 3*w**4 - 14*w**2 + 47*w**2 + 46*w**2 - 5*w**3 + 53*w**j wrt w.\nAnswer: -144*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1835, 5576, 11807, 20534, 31763?\nAnswer: 45500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (1048\/(-32) + -6)*-40.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**3 - v**2 - 3*v - 6. Calculate the smallest common multiple of p(-3) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h**3 + 7*h**2 - h + 10. Let q be m(7). Suppose 14 = q*f - 1, 2*f - 60 = 5*g. What is the tens digit of 10 + g + 46 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3454, 6906, 10358, 13810, 17262?\nAnswer: 20714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 5*l, 4*f - l = -752 + 3696. Let w = f - 417. Does 32 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -22.9 (b) -0.5 (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(126)\/(sqrt(2)*1))\/sqrt(9) - (-1 + sqrt(28)\/sqrt(4) + -2 + sqrt(1008)).\nAnswer: -12*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 31 (base 9) in base 3?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -z**2 - 19*z - 45. Determine o(-12).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -m + 21, 3*b + 4*m = 68. Suppose 0 = 9*w + b*w - 2375. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 18*z**2 - 13*z - 13. Let w(t) = -3*t**2 + 2*t + 2. Calculate -6*d(g) - 39*w(g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 14 = 5*x + 4*l, -3*x + 10 = 2*l. Solve -3*g - x - 4 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.02818 to 3 decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32214 + 36*p**3 + 32397 - 97002 + 32391.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 2, c: 1, l: 1, b: 2, k: 4}. What is prob of picking 1 l and 1 k?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -1233 (base 8) to base 7.\nAnswer: -1642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 82*v = 89*v - 45*v - 114 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*j + 4*u + 2, -202*j + 5*u + 10 = -197*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -8 times -12.4?\nAnswer: 99.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 4 and -1120?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = -337.688 - -337. Let l = f - -0.388. Which is the closest to -0.1? (a) -5\/2 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f and 2 m when four letters picked without replacement from {m: 6, f: 7, q: 1, a: 3, n: 2}.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4 - 2. Suppose -3*n + 7*n + 352 = -k*t, n + 70 = 4*t. What is the units digit of n\/(-12) - 1\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4 + 3.8. Which is smaller: -17 or q?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/33, -2.1, 0.1 in descending order.\nAnswer: 0.1, 2\/33, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 43603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -31 + 18. Let z = 150 + f. Let q = z - 84. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1127 + 1757. Is (-6)\/12 - g\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = 0, 0 = 4*p - 2*l - 26 - 386. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.1 and -3772744.\nAnswer: 377274.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(136) - (sqrt(136) - (5*sqrt(136) - sqrt(136))))\/(sqrt(22)\/sqrt(396))*-1*-6)**2.\nAnswer: 1410048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 170*x - 31280. Let r be f(184). Suppose -4 = -k - 1. Solve k*z - z = r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -21\/2816 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -4*y**2 - 2*y + 1. Suppose 0*m = 5*b - m - 7, 4*b - 5 = m. Let g(x) = -3*x + 133 - 131 - 9*x**2 - b*x. Give -6*g(s) + 14*i(s).\nAnswer: -2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -12*u**2 + 8*u + 12. Let o be p(-2). Let s = o + 36. Let k = s + 24. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 4127 = 2*z, v = 4*z - 8281 - 8. Calculate the remainder when z is divided by 680.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*h + h**4 + 5228720 + 3*h + 34*h**3 - 5228713 as s + n*h**3 + a*h**2 + b*h + c*h**4 and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -2*h**3 + 26*h**2 + 4*h - 30. Let t be f(13). What is the second derivative of -3*q - 46*q**2 - 11*q + 41*q + t*q wrt q?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1290 + -1265. Suppose 0 = -5*k + 26 + 39. What is the remainder when l is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 658 - 550. Suppose 35*k + z = 38*k. Calculate the remainder when k is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/(-2) + 300\/(-168). What is the second smallest value in a, -1, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -k*q*v**2 + 175423*k*q*v + 99*k*v**2 + 10*q*v**2 + 17*v**2 + 102*v wrt v?\nAnswer: -2*k*q + 198*k + 20*q + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes after 5:30 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2126518679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 9, -5, -23, -51, -95, -161?\n\"Answer: -g**3 + 4*g**2 - 19*g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 0*q**4 + 21 + 4*q**2 + 3*q**3 - 2*q**3 - 37 + q**4 in the form s*q + x + o*q**4 + k*q**2 + j*q**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 706 = 4*b, 21 = 2*b + 3*c - 352. What are the prime factors of b?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that -i**2\/5 + 23344*i\/5 - 136235584\/5 = 0.\nAnswer: 11672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 15*b**2 - 18*b - 75. Let x(w) = -6*w**2 + 7*w + 30. Let l(h) = 5*r(h) + 12*x(h). Let z(p) = 1. Let n(o) = l(o) + 15*z(o). Find t such that n(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 36 + -106?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 44, 91, 138, 185?\n\"Answer: 47*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.2*0.95.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1112227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 4*c = -t - 28, 4*t + 3*c + 7 = 0. Let v be (4 + -1)\/((-3)\/t). Solve 3*r + 3*b = -3, -9 = -r - 0*b + v*b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 98 and 504?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + (89 - -4) - (16 + -14 - (-31 + 29)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9831\/(-2486) + 3\/(-6) + 4?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -425354*y**2 - 158276*y**2 + 20932*y**2 + 36664*y**2.\nAnswer: -526034*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -26*(-3)\/2*(-3128)\/2346*(-1)\/16?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 4*s + 62 = -168, 0 = -o - s + 113. Calculate the remainder when o is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 265611 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-7) - (-9231)\/1267?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -42633, -84922, -126869, -168474, -209737, -250658, -291237?\nAnswer: -331474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-71*k + 20*k + 23*k)*(2*k + 2*k - 6*k).\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 6*v = -5*g + 3345, -3*v = 2*g - 1361. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -1811*f - 27165. Let d be m(-15). Factor 4\/5*r**4 - 2\/5*r**5 + 0 + 6\/5*r**3 + 0*r + d*r**2.\nAnswer: -2*r**3*(r - 3)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 0*b**3 - b**3 + 7*b**2 - 2*b + 5*b + 5*b. Let z be j(8). Solve -6 = -2*r - z*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 18119139 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 1047 (base 15) to base 16\nAnswer: d72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.073 + -105.073. Let b = q - -93. Put b, 3, 1 in decreasing order.\nAnswer: 3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mme when three letters picked without replacement from eemnqememeemkme.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(45) + -2)**2 + 3 + (((sqrt(125) + 0 + sqrt(125) + sqrt(125))*-2)**2 - (sqrt(125) - -1*(sqrt(125)*-2)**2)).\nAnswer: -35*sqrt(5) + 4073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = r**3 + 5*r**2 - 24*r - 6. Determine z(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 410525 or 410530?\nAnswer: 410525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z**3 - 12*z**2 - 11*z - 27. Let o be b(13). Suppose -y - 5 + 3 = 0. Which is greater: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b**2 - b**2 + b**2)*(-5*b - 2*b + 6*b)*(-428 - 1351 - 398 - 882)*(3*b + 4*b - 4*b).\nAnswer: 18354*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1120 and 560?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -1 less than 76117904066132?\nAnswer: 76117904066133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6\/21 - (4 - (-466)\/14). Let b = i - -89. Suppose -36 = 2*a - b. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*f**2 + 12*f**2 - 362*f + 373*f - 2*f**2 to j + q*f**2 + i*f and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**2 + f + 8. Let d be w(0). Let n = 213 + -186. Let c be (-3)\/n + (-2)\/(-18). Put c, 5, d in increasing order.\nAnswer: c, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.05*0.2.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -56.35 rounded to the nearest integer?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 37.22 - 37.62. Let p = -22 + 21.8. Which is the nearest to -1.8? (a) p (b) o (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -217*q**2 + 594*q?\nAnswer: -434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3841 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 76\/18 - (-1 + 5)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1 + -29 + (23 - 11). Let r(t) = t**3 + 14*t**2 - 35*t - 41. Calculate r(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -5504*f + 319228. What is t(58)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -8, -3\/5 in descending order.\nAnswer: -3\/5, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes after 10:18 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 510 and 935.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**2 + 9*l - 23. Let o be x(-11). Is 6 a factor of (-91)\/(-13)*(o + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 2\/41, -13\/5, -0.1, 20.8, -0.07?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = -5*f + 75, -2*f + 5*c = 3*c - 34. Let n be 16\/3*(19 - f). What is the highest common divisor of 48 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 18 and 684?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 74574 + 12?\nAnswer: 74606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 318096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -2*p + 13. Let c = p + -6. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**3 + 9*u**2 + 2*u - 11. Let i(f) = 13*f**2 - 5*f + 7. Let r be i(5). Suppose -13*y + r = 60. What is the remainder when t(-8) is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - (4 - (-8 - -21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(4356)*3)\/(sqrt(72)\/sqrt(6)*-4*5)*-3)**2.\nAnswer: 29403\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l + 33. What is o(10)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*t**4 - t**4 - 3*t**4 + (-3*t**4 + t**4 + 0*t**4)*(-2 + 0 + 0).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 338102 and 1704.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 + 2. Let n be 4 - ((-2)\/(-1) - 0). Find the third derivative of -z**n + 2*z**2 - t*z**2 + z**4 wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.529 - -0.865. Let q = g + -0.3360278. Round q to six dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the second derivative of 0 + 21*w + 7\/2*w**2 + 1\/6*w**3. Let j be m(-12). Let p(l) = l**2 + l + 2. Give p(j).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6 or 45?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -5*r - s - 2*s, -3 = 3*s. Suppose r*a + 4*t = 76, -2*t + 2 = 6. Solve 2*j - d - 5 = -0*d, 4*d - a = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 168*k**2 + k - 1. Let x be o(1). Let b be (1 - 33\/12)*-12. Calculate the highest common factor of x and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 13 in 17, 2, 0, 1\/1285?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**3 + 5*o**2 - 5*o - 3. Determine l(6).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i*i*i**8)**(-10\/11)*i**(-23)\/i**32)**(-50) assuming i is positive.\nAnswer: i**3250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 2213, 1965, 1719, 1475, 1233?\n\"Answer: k**2 - 251*k + 2463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -7, -1\/20, -37, 2, -1\/12, -0.3 in decreasing order.\nAnswer: 2, -1\/20, -1\/12, -0.3, -7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 8 - 4\/3*u**2 - 20\/3*u.\nAnswer: -4*(u - 1)*(u + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 36640, 36624, 36598, 36562, 36516, 36460, 36394?\nAnswer: 36318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4 + -4. Let w be -3 - (-5 + n) - -2. Solve 4*q - 5*y + 9 = -0*y, 4*q + w*y = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 146*h - 51. What is q(-2)?\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2 - -1. Let y be (2\/4)\/(g\/6). Put y, 2, 4 in increasing order.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 26.8 + -31.8. Let d be (-4 - 36\/(-10))\/1. What is the third smallest value in d, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 1, e: 7, q: 1, k: 2, j: 2, l: 6}. Give prob of picking 1 k, 1 q, and 2 j.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 25728 and 51507456?\nAnswer: 51507456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6 - -11. Let q = 13 - j. Calculate the least common multiple of q and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 93\/46620950 and -29\/46620950?\nAnswer: 46620950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(228) + -2*sqrt(228)*1)\/sqrt(12).\nAnswer: -sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the first derivative of -2*h**5\/15 - 23*h**4\/6 - 22*h**3\/3 - h**2 - 58*h - 299. Let k(z) be the second derivative of f(z). Factor k(o).\nAnswer: -4*(o + 11)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j**3 + 16*j**2 - j - 13. Let q be (3 + 56\/(-24))\/((-2)\/48). Let r be z(q). Let s(d) = -d**3 + 3*d**2 - 3*d + 2. What is s(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 59.4*-0.0757.\nAnswer: -4.49658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 10553 + -10549. What is the nearest to -2 in 5, -12.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -152.6 - 19.4. Let p = j - -122. Let f = 50.000000296 + p. Round f to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 70 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w**3 - w**3 + w**3)*(19*w + 16*w - 38*w).\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**3 + 8*c**2 + 50*c - 22. Let p be f(12). Let i(w) = -28*w + 3*w - w**p + 1 + 17*w - 2. Give i(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 470 divided by 1?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 14 + 12 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -32.19 + 1685.\nAnswer: 1652.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q be 99\/(25750\/3000 - (4\/3 - -2)). What is f in 0 - q*f**2 - 4\/7*f**3 - 128\/7*f = 0?\nAnswer: -32, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -708, -729, -730, -711, -672, -613?\n\"Answer: 10*v**2 - 51*v - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.11269 + -0.01269. Which is the closest to 19? (a) 5\/4 (b) h (c) 2\/7 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -36.942 - -37. Let v = p - 0. Let x = -0.05745 + v. What is x rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 245 and 70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 43 divided by 43\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 296 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, 63, -9.7, -5\/6 in increasing order.\nAnswer: -9.7, -5\/6, -0.4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 925 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 84 + -55. Let z = d - 16. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*v - 20, 4*a - 227 + 211 = -3*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -2301541 (base 6) to base 5\nAnswer: -12221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 27 or 0.6792?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence te when two letters picked without replacement from {t: 4, e: 3, g: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 5412581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -37.17 - -0.17. Let b = s - -52. Let c = b - 3. What is the biggest value in 0.1, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 461 - 16896*y + 8443*y + 6135 + 8454*y to g*y + h and give h.\nAnswer: 6596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 20419 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -12 - -36. Let z be 1\/3 - 1\/3. Suppose 5*k - 11 + 1 = 0, 3*j + 2*k - 364 = z. Calculate the highest common factor of j and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 121*i - 1281 - 828 - 11 = -91*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4223392607 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = -54 - -42. Let w = 30 + r. Differentiate w + 5*m**3 - 17 - 37*m**3 with respect to m.\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -730*z + 700 - 23464 = 2786 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 23*w**3 - 34*w**2 - 21*w + 2667. Let a(v) = 5*v**3 + v**2 - v. Let h(g) = -4*a(g) + o(g). Differentiate h(i) with respect to i.\nAnswer: 9*i**2 - 76*i - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -56557, -112992, -169427?\n\"Answer: -56435*q - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 20 + 18. Suppose -5*d + 25 = 4*j + 2, -4*j - 2*d + w = 0. What is the greatest common divisor of 108 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 69*n**2 - 76*n**2 + 1319*n**3 + 161*n**2 - 1117*n**3 + 149*n**2 wrt n.\nAnswer: 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w = -0*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 15*q**2 + 671*q + 2839. Determine j(-40).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -75, 1495, 3063, 4629, 6193, 7755, 9315?\nAnswer: 10873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) be the first derivative of -5233*m**6\/6 - 2688*m**3 + 5149. Find the third derivative of z(d) wrt d.\nAnswer: -313980*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3674 and 762?\nAnswer: 1399794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -24*u**3 - 4*u**2 - 1. Let r = 39 - 45. Let a be 1\/((10\/r)\/5). Is l(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 62 divide 216378213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -10 - -3. Let c = w + 14. Let z = -3.74 - 0.26. Put c, 5, z in increasing order.\nAnswer: z, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -285, -299, -313, -321, -317, -295, -249, -173?\n\"Answer: h**3 - 6*h**2 - 3*h - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 51 + 35. List the prime factors of d.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 19438, 38886, 58334, 77782, 97230?\n\"Answer: 19448*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-67)\/(-63) + (-8)\/(-36). Let r = 41\/21 - k. Factor r*c**2 - 2\/3*c + 0.\nAnswer: 2*c*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*y + 14*y**2 + 19*y**2 + 19*y**2 + 11*y**2 - 62*y**2.\nAnswer: y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -132 - 118 = 10*r. Suppose -3*b - 2*b + 153 = -4*p, 4*b = -2*p - 96. Let m = r - p. Calculate the greatest common divisor of m and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t - 2. Let c be u(2). Suppose c = y + 3*y - 12. Let p be ((-4)\/6)\/(y\/9). Are p and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*w - 5*q + 760 + 799, -2364 = -3*w + q. Let g be (2 - 4) + w - 1. Let s = g - 5529\/7. What is the common denominator of s and -45\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 319*z - 40543 = 115981 + 146526. Which is bigger: z or 4753\/5?\nAnswer: 4753\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, x: 1, r: 4, n: 5, k: 4, j: 3}. What is prob of sequence nox?\nAnswer: 5\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2.7 - 1.7. Let k = -125 + 121. What is the fourth biggest value in s, k, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 631800 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 0.3421088m?\nAnswer: 0.0003421088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.232 + -10.768. Put d, 0.1, -3\/13 in decreasing order.\nAnswer: 0.1, -3\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.09 from 196.6082.\nAnswer: 196.5182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + i = 158, 14 = 5*i - 11. Calculate the remainder when o is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/2*7*-94. Let o(n) = -206*n + 4. Let x be o(1). Let d = x + w. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) 1\/8 (c) -3215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 43 = -0*v + 2*v, 5*k - 2*v = -45. Is k bigger than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rwmy when four letters picked without replacement from mmyrpmppyprpwyyypyyp.\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 2 n when three letters picked without replacement from {t: 2, o: 6, n: 3, a: 1, l: 4}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*l - l + 2*l)*(993*l + 1712*l - 773*l - 4*l + 2*l + l + (1 - 1 - 1)*(-4*l + 4*l - l) + 4 + 2*l - 4 - 3*l + l + 4*l).\nAnswer: -3872*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (4\/(-14))\/((-1432)\/(-343) - 4) and -47\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ppibp. Give prob of picking 1 b and 1 p.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -12 - (-14 - (43 + -31))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 38.11063 micrometers in centimeters?\nAnswer: 0.003811063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-333)\/(-3)*(-13502)\/(-258)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*g**3 - 3 + 3)*(5 - 4 - 3) - 20*g**3 - 22*g**3 + 4 + 35*g**3.\nAnswer: -11*g**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2146769*f*k**2 + 1673*k**2 - 16*k + 48 wrt f.\nAnswer: -2146769*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 5 = 0, 3*c - 315 = 4*t + 2*c. Let m = t - -43. Let o be 10\/(m\/(-8) + -4). What is the greatest common divisor of 180 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**14\/(y**1*y))\/(y*y*y**(2\/3))**(-1) assuming y is positive.\nAnswer: y**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -20*f**4 - f**3 + 13224*f**2 - 2714699*f wrt f?\nAnswer: -240*f**2 - 6*f + 26448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(108)\/sqrt(4) + 2*(-2 + sqrt(3))**2)*-4 - (1 + (((sqrt(324)*-1 - sqrt(324))\/sqrt(9))\/(sqrt(144)\/sqrt(108)))**2).\nAnswer: -165 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -47 - 6 - ((9 - 10) + (0 - -4) + -4).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 80641*m**4 - 6380*m**2 + m - 2 wrt m?\nAnswer: 1935384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 221 = -103. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 5*r - 4*r + 27*r.\nAnswer: 28*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x = -5*w + 33, -11*w = -6*w + x - 23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a**3\/13 + 10*a**2\/13 - 24*a\/13 = 0. Calculate a.\nAnswer: -4, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*c + 21473 + 2*c - 10672 - 10792.\nAnswer: 10*c + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be (226905\/280)\/((-3)\/(-2)). Let c = a + -496. Is 44 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.011 plus -23002680185?\nAnswer: -23002680184.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 120202 (base 3) to base 14.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 32 = 5*t. What is the least common multiple of 7 and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/10? (a) 6\/5 (b) -2 (c) -0.07 (d) -2.36 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -177 = 74*y + 1229 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 12*n**2 + 8*n - 7. Let w(q) = 11*q**2 + 7*q - 6. What is 7*w(p) - 6*z(p)?\nAnswer: 5*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:29 PM and 6:46 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -1060.98 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 15*k - 16*k. Solve k*v - 21 = 3*m - 0*v, 0 = 3*m + 5*v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 56*b**3 + 315*b**2 + 333947 wrt b.\nAnswer: 168*b**2 + 630*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 10*u**3 - u**2 - 2*u - 2. Let l be z(-2). What is l rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/6)\/(90\/(-135)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 342 a factor of 1365264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16929 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8 + -5. Suppose -5*u = b*g + g - 217, 2*u + 4*g = 82. Suppose -5*x + u = -225. What is the greatest common factor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert c626d (base 14) to base 11.\nAnswer: 2a70a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ccsg when four letters picked without replacement from {c: 10, h: 3, v: 1, s: 2, z: 2, g: 1}.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 861 divided by 21\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1196910 and 78975?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 651\/21 - (-3315)\/(-75) - 18\/(-15).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 1064000 = 1064004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be (0 + 0)\/(-3 + 2). Let p be (-2)\/4 + (-12)\/(-8). Let j be (p - t\/(-3))*18. Solve 5*b = -5, -5*g + g = -2*b + j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 p and 1 d when four letters picked without replacement from ddlpdepddplpdd?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -4*p + 9. Let u(x) = 13*x - 17. Let g(n) = -14*n + 17. Let o(c) = -5*g(c) - 6*u(c). Determine -6*o(q) + 11*r(q).\nAnswer: 4*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -13*a - 2*a + 30*a + 6 - 10*a. Let t(g) = -1. Suppose i = 1 - 7. What is i*t(z) - k(z)?\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 3, u: 4, n: 13}. What is prob of sequence njju?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.102 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -0.21839 to three decimal places.\nAnswer: -0.218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -3041, -3042, -3043?\n\"Answer: -j - 3040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:35 PM and 9:51 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 33 = 85. Let c be (-18 + l)*(-12)\/10. Solve 0*t - c*t = -6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n**2 - n - 1. Let s(m) = -m**3 + 6*m**2 + 8*m - 13. Let f(w) = -5*l(w) + s(w). Let v be f(12). Solve 2 - 6 - 4*o**v + 6*o**2 + 2*o**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (4\/(-10))\/((-2)\/20). Factor p*b**2 - 9*b**3 - 6*b**5 - 2*b**4 + 3*b - 4*b**2 + 3*b**2 - 13*b**4.\nAnswer: -3*b*(b + 1)**3*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 20919 divided by -226\nAnswer: -20919\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 78723335.19 - -62.9\nAnswer: 78723398.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -293971 or -4997497\/17?\nAnswer: -293971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, 23, 3, -218 in ascending order.\nAnswer: -218, -5, 0, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 118199 is divided by 59086?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 80 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*u + 10662 = 10734 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 47817 and 21?\nAnswer: 47817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 805 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:34 AM and 5:28 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -2 greater than 3966\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1575523 and 274004?\nAnswer: 6302092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -5 - -11 - (-1 - -11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 12 = -54. Suppose 2*i - 5*i - 357 = 0. Let s = 133 + i. What is the highest common divisor of g and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = i**2 + 10*i - 16. What is n(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 35524333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pdt when three letters picked without replacement from {p: 2, t: 6, l: 6, g: 2, d: 1, j: 1}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Do -6 and 144 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is ((-24)\/(-16))\/((-3)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -229683, -229670, -229645, -229602, -229535, -229438?\nAnswer: -229305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + (-9 + -8 - -7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5475 - -5474. Let u = 7.8 - -0.2. Let l = 6 - u. Which is bigger: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the third derivative of -p**6\/120 + 43*p**5\/60 + 37*p**4\/24 - 5*p**3\/3 - p**2 + 85*p. Is q(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 6*b - 11. Let t be k(2). Solve 3*a + 3*p - 2 + 8 = 0, 0 = -2*a + p - t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 216313 - 1?\nAnswer: 216312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*h + 9*h = 187 - 135 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify g\/g**(-23)*g**6 assuming g is positive.\nAnswer: g**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m be 35*(-102)\/(-390) - 9. What is the nearest to 1 in 5, m, 1, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1\/19 (b) 0 (c) 5 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -520, -879, -1252, -1645, -2064, -2515, -3004, -3537?\n\"Answer: -k**3 - k**2 - 349*k - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (7\/(-2) + 2)*-2. Let l be y*(-3 + 4) - -2. Solve 0 = -q - 1, 0 = -4*i - l*q - 2 - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 1344 (c) -1 (d) 20425\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be 21\/18 - (-2)\/4. Let c(p) = -p**2 - 22*p - 20. Let o be c(-21). Is o <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8? (a) 4 (b) 37\/439 (c) -3 (d) -0.1 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 20*x**2 + 23*x + 11. Let q(z) = 7*z**2 + 8*z + 4. Let s(p) = -6*c(p) + 17*q(p). Let j be s(-3). Is j - -80 - 0\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-87*(-1)\/(-12))\/(3\/12). Let d(l) = 2*l + 65. Give d(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -842, -852, -850, -824, -762?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 187278228 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4201\/6 - 14822\/21. Let f = 3855\/22 + -176. Find the common denominator of d and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ccppccmfcmffc. What is prob of sequence mpfc?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 21190*l**3 + 59*l**2 - 25258189?\nAnswer: 63570*l**2 + 118*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.99 - -3.99. Let v = 66 + -62.3. Let i = v - -1.3. What is the nearest to -0.6 in -0.1, i, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-5)\/1 + 0\/2. Which is the second biggest value? (a) 2 (b) y (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -1, 1770188, -2.\nAnswer: -3, -2, -1, 1770188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**2 - 6*u - 13. Determine t(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19136.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -75*d**3\/4 - 7095*d**2\/2 + 2847*d - 570.\nAnswer: -3*(d + 190)*(5*d - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the second derivative of z**2 + 0 - 3*z - 1\/10*z**6 + 0*z**4 + 0*z**3 + 0*z**5. What is the derivative of o(t) wrt t?\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 370.6 - 373.118. What is o rounded to 1 dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 9 - 6. Suppose w = -b*w. Suppose -a - 3*a + 20 = w. Solve -3*r - 2*k + 3 = -3*k, -a*r + 15 = -5*k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*i - 8 = -20*i - x, 4*i - 5*x - 5 = 0. Solve -6*r + 3*r + 2 = y, 0 = r - 4*y - i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 15.01 + -0.01. Let h = n + -15.0028. Round h to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -77\/2 and (-2)\/8 - (-203)\/68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -2845, -2638, -2431, -2224?\n\"Answer: 207*p - 3052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14956?\nAnswer: 2, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 145016 = -6*m + 558338. Suppose -g + 36415 = 3*o, -3*g - o = -40318 - m. Round g to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}