diff --git "a/data/dm_maths/full_data_2/10757_11255.jsonl" "b/data/dm_maths/full_data_2/10757_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10757_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let d(v) = -52*v + 3. Let z be d(-2). Let k = z + -45. Suppose k = 2*s - 84. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 + -0.39. Suppose 17*y = 16*y + 2. Sort 1, u, y in descending order.\nAnswer: y, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.005 + 10.995. Let z = p - 11.0000066. Round z to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1924417 is divided by 2056.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*v**4 - 138670346*v - 32898578 wrt v?\nAnswer: 8*v**3 - 138670346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 2. Let i = 74\/273 - 268\/3003. Which is the nearest to 1\/19? (a) t (b) -0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*q + 243*q = 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -2*f**3\/27 - 257*f**2\/9 - 340*f\/3 - 1579. Factor m(y).\nAnswer: -2*(y + 2)*(y + 255)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w**2 + 135*w - 3755. Let t be c(30). Calculate the greatest common factor of t and 575.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3153707809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -9, -5.\nAnswer: -9, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2. Let m(s) be the second derivative of s**4\/6 - 543*s**2 - 16*s + 26. Calculate m(v(z)).\nAnswer: 8*z**4 - 1086","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x**3\/2 - 310*x**2 + 923*x\/2 - 176 = 0 for x.\nAnswer: 32\/49, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/35 + 14\/((-84)\/(-15))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004335 rounded to five decimal places?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111 - -105. Let i(m) = 6*m - 20. Let l = -13 + 12. Let d(q) = 1. Let f(t) = 2*t - 10. Let a(y) = l*f(y) - 3*d(y). Give c*i(p) - 17*a(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*r - 4*q, 0 = 2*r + 19*q - 16*q - 13. Solve -u - 5 = r*w, 0 = u - 4*w + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, e: 1}. What is prob of picking 1 e and 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -877621 (base 9) to base 6\nAnswer: -15121331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5003 - -7358. Does 24 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -34. Suppose -3*y = -3*n + 7*n - 427, 4*n - 448 = o*y. What is the remainder when n is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/47610 and -27\/7?\nAnswer: 333270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/219 and -101\/67014?\nAnswer: 67014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + t + 3 + (-t - t + t)*(-3 + 4 + 1) + 1 + 2*t - 1 + 5*t + 0*t - 4*t)*(t + t + 18 + 2) to the form x*t + v + g*t**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/54 + (-259999820)\/(-226195200). Let v = x + 18\/6545. What is the common denominator of v and 63\/8?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2054*t - 1985*t + 552 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.600098 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -87160 divided by -8?\nAnswer: 10895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 26, 25, -28 in ascending order.\nAnswer: -35, -28, 25, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.31, 1 in increasing order.\nAnswer: -0.31, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -212, -219, -218, -203, -168, -107, -14?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 85*z**2 + 61*z**2 + 20 + 23.\nAnswer: 146*z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 1850*b**2 + 417262*b - 2040310.\nAnswer: 2*(b - 547)*(b - 373)*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8247 + 719 = -2*i, 3*j - 7529 = -2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 - 8) + 2 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 20*g**2 - 96*g - 1925. Calculate y(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8595349?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 3)*-1*751. Suppose -9*l + 662 + n = 0. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 = c, -5 = -3*b + 2*c + 3. Let w(n) = -2*n + 21. Let m be w(b). Let h = m - -14. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 4*u**2 - 3*u - 7. Let q be k(-4). Suppose -2*l + 0*l = -q*t + 123, 0 = 4*t - 3*l - 104. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -0.1, -20\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 507*u**2 - 2*u**4 + 4134*u - 22 - 76*u**2 - 4045*u wrt u?\nAnswer: -24*u**2 + 862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 32, -3, 0.\nAnswer: -3, -2, 0, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 7*p - 6. Suppose 36 = 5*n + r, 0*r = 5*n - r - 34. Let s be q(n). Round s to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 11. Let u be p(10). Let k be u - (-3 + 1) - -14. Suppose k = 5*d - 2*d. Solve 2*x + 16 = -3*t, d*x - 1 = 3*t - 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11035, 44256, 99617, 177112, 276735?\nAnswer: 398480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**(20\/9)*r**(1\/11)\/r*r**(1\/5)*r assuming r is positive.\nAnswer: r**(-131\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 399 and 5250?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by -31?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(2\/7))**18)**(31\/3))**(-22) assuming a is positive.\nAnswer: a**(-36828\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/10*20\/16. Let n = 2 + s. Which is the third smallest value? (a) n (b) 0.5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8036, 8045, 8054, 8063, 8072?\n\"Answer: 9*g + 8027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3376 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/24)\/(45\/(-4)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 57408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80554586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efvevefeefevvfmefe. Give prob of sequence vmv.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/1300 - 2759\/206700. Is x not equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*x**2 + 51*x**2 - 210*x**2 + 786*x**2 - 211*x**2 - 209*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 4*u + 3. Let o be 11\/(-3) + 3\/(-9). Let y be g(o). Solve -y*t = 2*x + 7, -2*x - x + 3*t + 27 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**2\/7 + 6752*m\/7 + 6750\/7 = 0.\nAnswer: -3375, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**5\/20 - u**2. Let q be 12\/5*(-15)\/(-4). Let n(d) = -q*d + 3*d + 5 - 5. Calculate h(n(v)).\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 20*j. Let i(k) = 30*k. Calculate 7*d(v) - 5*i(v).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 - 6*w**2. Let b(l) = -2*l**3 + 5*l**2. Suppose p = -m + 6*p, 3*p = m + 2. Let v be (-4)\/18 - (-104)\/(-18). Give m*q(r) + v*b(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 867393982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1213*t + 118 - 550 = 1267*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1428 (base 10) to base 13\nAnswer: 85b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15640, -4, -5.\nAnswer: -5, -4, 15640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 3:12 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32400*d + 32403*d = 5*a + 13, 5*a - 19 - 16 = -5*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(49)*-2*3)\/(sqrt(28)\/sqrt(4)*3) + -3 + -4 + sqrt(252) + sqrt(28))**2.\nAnswer: -84*sqrt(7) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3230)\/57)\/17*18\/10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1293 - 1269. Suppose 4*x + t = 7*x. Suppose 0 = 5*w + 2*b - 46, -4*w = -0*w + 5*b - 47. Is x < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 - -14) + (-4)\/2. Let s(p) = 2*p**d + 4 - 3*p**2 + 1 + 2*p - 3. Give s(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12104528 and 4?\nAnswer: 12104528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.037*0.1047.\nAnswer: -0.0038739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 2, 0.3, 1\/3.\nAnswer: -23, 0.3, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*z + 2*l, -l - 3 + 15 = -z. Let v(r) = 7*r + 49. Calculate v(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/40 + (-242)\/8. What are the prime factors of (105\/a)\/(1\/(-6))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481 = -123*i - 19*i + 87. Let x(r) = 45*r - 188. Determine x(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 526*g*n**3 - 3*g*n**2 + g*n - 2447*g - 54*n**3 + 52*n wrt n?\nAnswer: 3156*g*n - 6*g - 324*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 12:15 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*n**3 + 1608*n**2 + 530*n + 44.\nAnswer: 2*(n + 22)*(6*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.62, 14, -2\/3, -0.2, -1.\nAnswer: -1, -2\/3, -0.62, -0.2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -3 - (0 + 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 - 4*i**2 + 5*i + 13. Let s(v) = v**3 - 3*v**2 + 4*v + 13. Determine -4*a(x) + 5*s(x).\nAnswer: -3*x**3 + x**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 314118 and 9072?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 11770*i. Let k(s) = 4*s**2. Calculate k(f(a)).\nAnswer: 554131600*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 145 + 93. Let t = 505 - l. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1783 - -4444. Suppose -m*z + 2657*z + 1300 = 0. What is the highest common factor of z and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + 7*n - 2*n)*(-1 + 1 + n) + (0*n**2 + 3*n**2 - 5*n**2)*(2 + 1 - 1) + 410 - 410 + 30*n**2 in the form f*n + u*n**2 + y and give u.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 104 = -2*i, 0*i + 20 = j + i. Suppose -u = -3*d - j, -2*u - 2*u + 5 = d. Let p be -1*1*(6 + d). Is 1\/3 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -16.3 (b) -2 (c) -51 (d) -0.1 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-7)\/h**16)**(16\/5))**9 assuming h is positive.\nAnswer: h**(-3312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 o when four letters picked without replacement from {o: 11, n: 1, k: 7}.\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410777588 divided by -334466?\nAnswer: -4218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 140 - 138. Suppose -4*t + 198 = a*t. Is t a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 1599208?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*q - 770 = -119*q. Suppose -1655 = 6*i + q. Let h = -206 - i. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69776957 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 302197\/5 + -60439. Let f = -7 + 7.3. Which is the closest to h? (a) f (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25170*-644.9.\nAnswer: -16232133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 - (18 + -15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 516 and 50439?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19131552 divided by 32208?\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 314 - 224. Suppose 0*x - r = -3*x + 46, 5*x - c = 5*r. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -302, -1060, -2540, -4982, -8626?\nAnswer: -13712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/26? (a) 3 (b) -22 (c) 1\/7 (d) -5\/7 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -85d7b (base 14) to base 9\nAnswer: -543032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8017 + -3661. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021073 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7928 is divided by 50.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58096 or 58098?\nAnswer: 58096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -97*f**3 + f**2 - f - 1. Let h be i(-1). Calculate the smallest common multiple of (-49)\/h + (-937)\/(-2) + -2 and 8.\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9)\/v**(-1\/3))**(-2\/11) assuming v is positive.\nAnswer: v**(-10\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3510\/1080)\/(0 + 0 + -1)*4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6) + (-180)\/(-54). Suppose v = -c + 9. Solve -6 = 2*d - c*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -37. Suppose v + y = 4. Solve -v*f + 3*f = -2*a + 10, 18 = 3*a + 3*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 6*w**2 - 3*w**2)*((2 - 3 + 3)*(-5*w + 3*w + 0*w) - w + w + w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**4\/12 - 3*h**2\/2 + h. Suppose -4*m = 4*q, 4*q + q - 2*m - 21 = 0. What is x(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1088)*1*-5)**2.\nAnswer: 680000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17549719?\nAnswer: 11, 43, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6208387163?\nAnswer: 11, 173, 3262421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37927\/13386*(-1)\/(-17)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.1? (a) 8 (b) -0.4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4)*688\/258?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c**3 + 15*c**2 + 5*c - 25. Let s be g(2). Put 1, s, 11 in decreasing order.\nAnswer: 11, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 29 = 3*q + 3*r, q = -5*r + 42. Is q a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzz when three letters picked without replacement from {z: 3, f: 17}?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(10)*-2)\/(sqrt(5) + (1*sqrt(720) - sqrt(720)) + sqrt(5)))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 210 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/6 + -5)\/(-28*(-2)\/(-12))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -131*g**3 + 2. Let t(l) = 393*l**3 - 7. Let c(h) = 2*t(h) + 7*z(h). Let b be c(1). What is b rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*v + 1, -4 = v + 2*v + 4*s. Round v to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 + -55. Suppose 362 = c*v + 10. Solve w + 3 = -2*d + 7, 4*w - v = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*m + 21 = 0, -4*p + 3*m - 251 = -266. Solve -18*u + 12 = -p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opgpgpkeoeooopkkpe. Give prob of sequence kepp.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 + a + 1. Let n(x) = -19*x**2 + 4*x + 4. Let c(u) = -4*d(u) + n(u). Let y(m) = 3*m. Give c(y(s)).\nAnswer: -243*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1600500 divided by -2?\nAnswer: 800250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*c = 2*j + 103*c + 12, 4*j + 36 = 4*c for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2003, 2001, 1999?\nAnswer: 1997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831081?\nAnswer: 3, 139, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-6) - 6\/(-4). Suppose -f*j = -j - 6. Suppose b + 10 = j*b. Solve 18 = -u + 6*q - 2*q, -12 = -u - b*q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 25*d + 15. Calculate q(-25).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 2. Let j = 553.8 - 553.4. Sort j, y, -3 in decreasing order.\nAnswer: j, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 89490?\nAnswer: 357960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/6 - (-10 + (-936)\/(-91))*(-14)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941057 is divided by 80.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.09281 millilitres in litres?\nAnswer: 0.00409281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 + 6 = w, 0 = 2*x + w - 6. Let u be (-4)\/(-14)*(x - -5). Suppose -u*k - 2*o - o = -16, -2*k + 3*o = -4. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15791970.6us to weeks.\nAnswer: 0.0000261110625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -63*n**2 + 117*n**2 - 53*n**2. Let i(r) = r - 7. What is h(i(b))?\nAnswer: b**2 - 14*b + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 + 152 - 62*g**3 - 51*g**3 - 263.\nAnswer: -113*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5541 + 397 = -319*v + 4107 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4629343 weeks to days.\nAnswer: 3.2405401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100 + 107. Let b = 11 + 12. Calculate the highest common divisor of n and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 363.9 + -364. What is the closest to 0 in -0.4, 0.6, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (412 - 186 - 17)*(-5*x + 6*x + 3*x) to f + h*x and give h.\nAnswer: 836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 6*m**2 - 6*m + 6. Let r(i) = i**3 + i**2 + i - 1. Calculate -6*r(n) - s(n).\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3090159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n + 4*n - 7*n)*(6 - 1 - 2) + (5 - 1 - 3)*(11 + 4*n - 11 + (0 - 4 + 3)*(2 - 2 + 2*n) + 4*n - 6*n + n) as s + j*n and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 55*q + 1. Let t(w) = -109*w - 2. Determine -3*t(n) - 5*x(n).\nAnswer: 52*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40958 (base 12) to base 9.\nAnswer: -137575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 16. Let l(h) = -h - 2. Give -2*l(y) + 2*p(y).\nAnswer: -2*y - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-35)\/(-10) - (-1)\/(-2). Let n be (-190)\/(-15) - (-1)\/s. Let h = n - 2. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w + 38. Let z(f) = 2*f + 1. Let t(i) = -b(i) - 6*z(i). Let v be t(-8). Suppose 16 - v = q. Solve 0 = 2*c + 6 + q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 72 = 73 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10014 + b3?\nAnswer: 100c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1886.991 - -1889. Let m = g + 15.881. Let c = 0.61 + m. What is c rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.111 times -0.34\nAnswer: 0.03774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f**2. Let w = 14 + -12. Let s(d) = 2*d**2 - w*d**2 + 2*d**2. Give p(s(i)).\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxsw when four letters picked without replacement from {s: 7, w: 7, x: 4}?\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 91 = -4*c, -2*y - 4*c = -y - 41. Calculate the remainder when y is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*k + 184, -3*m + 276 = -k - 4*k. Let q = 104 - m. Calculate the remainder when 35 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k**2 - k + 5. Let l(c) = -13*c**2 - c + 10. Let z(j) = 2*l(j) - 5*o(j). Is z(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 9*g**2 - 8*g - 10. Let m be p(10). What is the greatest common factor of 80 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45914 - 17664*n + 91826 - 45912 + (0 + 1 - 3)*(3*n + 0*n - 4*n).\nAnswer: -17662*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from yppye.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1451431216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 28 = 2*h - 6*s, 3*s + 12 = 0. Suppose 94 = -h*q + 630. Suppose -5*b - 9 = -q. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/4 and 54\/4115?\nAnswer: 16460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-312 - -1)*(-16 + 7 + -18).\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtt when three letters picked without replacement from dttdt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*(-927)\/(-15450).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 275*x - 13. Let r(z) = -z**3 + 3*z**2 + 10*z - 20. Let a be r(4). Is v(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)\/sqrt(4) + (sqrt(27))**2*-2.\nAnswer: -54 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nry when three letters picked without replacement from vyvvylyvvnryv?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 113 = 5*x, 5*h + 7*x - 275 = 2*x. What is the remainder when 213 is divided by h?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u + 109 = -4*m, m = 5. Let x be (-4)\/1 - (-273)\/(-7). Let r = u - x. Solve r = 4*o - 3*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14 (b) -120 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -6, 10, 32?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 378946.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 3*a - 7*a + 3*a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2 - (13 - 14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**3 - 14*w**2 - 23*w + 3. Let i be j(-2). What is the nearest to i in 3\/7, -0.2, 0.4, -1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3337a (base 15) in base 8?\nAnswer: 475746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*((1 + sqrt(1100))*-2 + -2))**2 + -3*(-1 + sqrt(1100) + 1 - 2*(1 + sqrt(1100)))**2.\nAnswer: 1320*sqrt(11) + 36433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-504)\/60 - (-14)\/10)*2. Which is smaller: 504 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from ngs?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**6*m)\/m**(2\/7))\/(m*m**(-2\/13))**(-13))**(-2) assuming m is positive.\nAnswer: m**(-248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a - 44. Let g(o) = -o**3 - 3*o**2 - 2*o - 6. Let m be g(-3). Suppose 5*d + x = 84, m*d + 5*x = d - a. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -112c - -56?\nAnswer: -10a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/8)\/((-115)\/(-368)))\/((-12)\/(-10))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 21\/11 (b) 2\/11 (c) 0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2\/5, 66, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-15)*(-29 + 19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318a (base 13) in base 6?\nAnswer: 51454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -9*q + 53. Let l(k) = 3*k**2 - 6*k - 4. Let p be l(3). Calculate the lowest common multiple of s(p) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5517, 10945, 16159, 21051, 25513, 29437?\n\"Answer: -18*a**3 + a**2 + 5551*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(20\/(-4)))\/(8653\/(-2036))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 29 = -17*q + 7*l, -7*q - 2*l = -24 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 530 - 528. Suppose -3*c - j*d + 4 = -c, -3*c - 8 = -4*d. Solve -7*f + 11*f + 12 = c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y + 0*y)*(-11 + 11 + 11*y)*(-3*y**2 + y**2 + 3*y**2).\nAnswer: 11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -406828\/31 or -13124?\nAnswer: -13124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 101 = m + 25, -2*m - 5*f = -151. Is m <= 384\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -135*h + 51. Let c be y(-3). Let a = c + -454. Solve 2*z = -2*x, a*z - 2 = 4*z + 3*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 4*k - 9. Let a be x(-6). Suppose -5*y + 147 = 3*i + 30, -a*y - 4*i = -79. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - 7*f + 7. Let m(q) = q - 1. Let h(t) = -2*b(t) - 14*m(t). Let p(a) = 27*a**2. Determine p(h(o)).\nAnswer: 432*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -196*w**3 + 10*w**2 - 5*w + 13. Let g(b) = 293*b**3 - 16*b**2 + 8*b - 20. Determine 5*g(z) + 8*s(z).\nAnswer: -103*z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 2*x**2 + x**2)*((-2 + 0 + 0)*(6 - 9 + 2) + 135 - 65 - 256).\nAnswer: 184*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 9*i - 2. Let z be t(-7). Suppose 2*r = -2*r + z. Suppose 0 = 4*j - 3*j - r*v, 3*j + 5*v = 56. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 48*r**2 + 8*r - 6. Let m(k) = 12*k**3 + k**2 - k - 1. Let p be m(-1). Let y be h(p). Suppose 4*x = 6*x - y. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2. Let a(i) = 13872*i**2 - 4*i - 2. Calculate a(c(t)).\nAnswer: 55488*t**4 + 8*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gugqqgqqqqgqq?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(12) - 1*sqrt(12))\/sqrt(4) - (sqrt(24) - sqrt(48)\/sqrt(2))\/sqrt(8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 634 + -636. Is x > 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Suppose s = b*v, v = -4*s + 5*s + 1. What is the tens digit of (-9 + 10)\/(s\/(-112))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57184608, -57184611, -57184614, -57184617, -57184620, -57184623?\nAnswer: -57184626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69299 is divided by 350.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -197*u**6\/6 - u**5\/5 + u**4\/4 + 119*u**2 - u + 5595. What is the second derivative of d(l) wrt l?\nAnswer: -3940*l**3 - 12*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 184*o**2 - 2497*o + 4993. Calculate x(2).\nAnswer: 735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 17 = 5*r, -2*u + u + 3*r = -13. Suppose 6 = -h - 2*w, -h + 22 = 4*h - 3*w. Let d(y) = 4*y**h + y**2 - y - 7*y**2. Determine d(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -13*m - 153. Calculate the remainder when 634 is divided by h(-22).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15706 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-343 + 328 - (19 - 2)) + 30?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 434, 866, 1298, 1730?\n\"Answer: 432*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/13 (b) 2 (c) -3\/385\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -414\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4))**(-3\/5)\/((k\/k**0)\/k**(-3)))\/(k\/(k\/((k\/k**4)\/k)*k)*k*k**(-7\/5)*k)**(-7) assuming k is positive.\nAnswer: k**(-699\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 - 1.7. Which is the biggest value? (a) 0.1 (b) f (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16785825*u**3*v**3 + 2*u**2*v**3 + 9*u**2 - 6*u*v**2 - 158*v**3 wrt u.\nAnswer: -100714950*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**7*k)\/k*k)**(1\/43) assuming k is positive.\nAnswer: k**(10\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 8. Let d(q) = q**2 + 6*q - 25. Let b be d(3). Suppose -28062 = -h*i + b*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 5\/2*o**2 - 3 + 0*o. Let t(i) = -i**3 - 8*i**2 - i - 7. Let k be t(-8). Calculate h(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 530976704?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -38. Let b = 3.99999993 - d. What is b rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqvxqxxqxqxnqnxxxqx. Give prob of picking 1 v and 2 q.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k**2 - 2*k**2 - 3*k)*(-2 - 3 + 1).\nAnswer: 4*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = 24*r + 22*r - 1504. What is the highest common divisor of r and 328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-three halves of a meter?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3696.3 + 2249486\nAnswer: 2245789.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 + -79. Which is the nearest to 1? (a) 2\/7 (b) k (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9467463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -31*g - 3. Suppose 0 = -5*u + 5*k, 4*k = 3*u + 2*k + 4. Is d(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imdmddm. What is prob of sequence iddm?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*s**2 - 1\/5*s + 0 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1832 + -654. What is the highest common factor of 62 and b?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1809*u - 12382. Give r(-7).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 126733356 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 2:57 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p**2 + p - 2. Let f(r) = -6*r**2 - r + 1. Give -2*a(b) - 3*f(b).\nAnswer: 4*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 2*l**2 - 19*l**4 - 22 + 11 + 17 to the form f + d*l**3 + m*l + c*l**4 + b*l**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q. Let f = 24 - 12. Let s(t) be the second derivative of -7*t**4\/6 + 5*t**3 - 2*t**2 - 3*t. Let u(x) = f*w(x) + s(x). Let u(n) = 0. What is n?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -7*z**6\/40 - z**5\/12 - z**4\/12 - z**3\/2 - 24*z**2. Is h(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 254 (base 6) to base 8\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (5 + -1 - 5) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -120322 (base 4) in base 15?\nAnswer: -714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802818788?\nAnswer: 2, 8999, 22303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760*b + 306 = -778*b for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*t - 3 + 62*t + 3 to f + i*t and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 964201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.6 + 2.6. Sort 2\/3, c, 0.2 in descending order.\nAnswer: c, 2\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5 - (-10)\/25)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18694 - -24409. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112651 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3 + 1\/6*u - 1\/6*u**2.\nAnswer: -(u - 2)*(u + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07704 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -4. Suppose -z + 15 = -4*i, -z + u*i + 7 = -5. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q + 13 + 11*q**2 - q**3 - 10 + 6. Let u be w(12). Which is the smallest value? (a) 1\/5 (b) 2\/9 (c) -2\/7 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 416 - 1165. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39439 is divided by 290.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*s - 523 = 442 - 250 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y + 74495 - 237161 = 0. Let w = y - 197601\/17. Which is smaller: -6 or w?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1134 = 2*j - 122, -1240 = -2*j - 4*p. List the prime factors of j.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -566985, -1133962, -1700939, -2267916, -2834893, -3401870?\n\"Answer: -566977*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1641, 1646, 1663, 1698, 1757, 1846, 1971?\n\"Answer: u**3 - 2*u + 1642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (6 - 9) - -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 273527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 91*c + 353. Does 3 divide y(47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102 - 12222101112?\nAnswer: -12222110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 10 (b) -0.2 (c) 3\/2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-189)\/(-35)*55\/33?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -184507, -183933, -183359, -182785, -182211?\n\"Answer: 574*w - 185081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 32 + 5*s)*(-s**3 + 4*s**3 - 2*s**3).\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -0.244\nAnswer: 4.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19757 - 19757. Factor 2\/3*j**2 + 0*j - 4\/9*j**3 + i - 2\/9*j**4.\nAnswer: -2*j**2*(j - 1)*(j + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 6) + 7242\/272 + -24.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91884833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 + 63997.26.\nAnswer: 64001.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 6 = 5*v - 5, 0 = -m - 3*v + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2392\/3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*g**3 - 2*g**5 - 11*g**3 + (3*g - 5*g + 4*g)*(-2*g**4 + 4*g**4 + 0*g**4) + 0 + 0 - g**5 - 7*g**5 + 0*g**5 + 5*g**5.\nAnswer: -g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6993.3 - -6992. Is r greater than 188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, w: 1, q: 1, r: 3, z: 1, d: 2}. What is prob of picking 1 z and 1 w?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000466707 to 6 dps.\nAnswer: 0.000467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 4*z**4 + 4 - 5*z**4 - 2*z**4 - 2*z**2 + 2*z**2 + (2*z**2 - z**2 - 2*z**2)*(z - z + z**2) to i*z**4 + v + s*z + x*z**3 + r*z**2 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m + 16, -2*a + 3*m - 6 = 0. Suppose -12 = 6*l - 10*l. Suppose h - f + 3 = l*h, f = -a*h + 6. Solve y - 4 + 14 = 3*x, 4*y + 10 = -h*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -1\/3*x**3 + 0 - 107\/30*x**5 - 1\/6*x**4 - x**2 + 0*x. Let v be t(-2). What is v rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 1\/2*l**2 - 1 - 1\/6*l**3 + 14*l + 9\/20*l**5 - 1\/12*l**4. Calculate u(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3882 = -457*s - 325*s + 45090 + 13532 for s.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37119 is divided by 125?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qooorbbrgjgoo. What is prob of picking 1 g, 2 b, and 1 j?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23139*q**6 - 22*q**5 - 8*q**2 - 7668*q - 1 wrt q?\nAnswer: 2776680*q**3 - 1320*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + g - 6. Let l = 2857 + -2852. Determine f(l).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-1))\/(3\/21). Let t = 1 + x. What is the units digit of (-22)\/t + (-6)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*a - 27*a - 34*a - 25*a - 29*a - 4.\nAnswer: -a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1076547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/16 and 53\/52800?\nAnswer: 52800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 20 = -12*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25996847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times -33?\nAnswer: -49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 1161*w**3 + 1162*w**3 + 0*w**2.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-515)\/75 - (-6 + -1).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -421 - -122?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1705 or 1716?\nAnswer: 1716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(950)*-2)\/(sqrt(128) - sqrt(2)))*-4.\nAnswer: -16 + 40*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 6*n**2 - 15)*(-4*n + n + 0*n).\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1375316.\nAnswer: 2, 343829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 1\/7, -1.692, 13, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 912 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(2\/9))**(1\/18)\/(((((p*p\/p**(-2\/21))\/p)\/p)\/p*p*p)\/p*(p\/(p\/p**2))\/p))**(12\/7))**(-1\/20) assuming p is positive.\nAnswer: p**(1193\/13230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 25*a + 175. Let m be y(-7). Let g(z) be the second derivative of z + 0 - 1\/4*z**5 + m*z**4 + 0*z**3 - 5\/2*z**2. What is the derivative of g(x) wrt x?\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c + 16. Let d(v) = v. Give 4*d(h) + r(h).\nAnswer: h + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v**3 + 73*v**2 + 9*v - 10. What is the remainder when 2823 is divided by f(-12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9600212745 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23904, -23906, -23908, -23910, -23912, -23914?\n\"Answer: -2*h - 23902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -84689914 = -84689904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -15*f**2 - 11*f + 27. What is h(4)?\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 72, 1298, 4638, 11148, 21884, 37902, 60258?\n\"Answer: 176*b**3 + b**2 - 9*b - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/6 + 7*t**3\/2 + 2*t**2 - 86*t\/3 - 40 = 0. Calculate t.\nAnswer: -20, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*l**2 + 6*l**2 + 8 - 74*l**2 - 13*l + 11*l.\nAnswer: -128*l**2 - 2*l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 290809331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -457\/70 + 45\/7. Which is the nearest to -0.1? (a) h (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -52. Let y = m + 7. Calculate the remainder when y is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 2*u**3 - 2*u**5 + (0*u**3 - u**3 - u**3)*(u**2 - u**2 + 4*u**2) + 2*u**5 - 2*u**5 - u**5.\nAnswer: -11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472464\/(-16405) - (36\/(-20) + 3).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-7))\/(6\/252). Suppose 3*o = -o + r. Calculate the remainder when 19 is divided by (o - -1)\/(12 + -11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 82388033 + 1?\nAnswer: 82388034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -238.41, 2, -5?\nAnswer: -238.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(3\/2))**(-24)\/((l*l\/l**(1\/3)*l)**6\/((l**(2\/25)*l)\/((l\/(l**(3\/4)\/l))\/l))) assuming l is positive.\nAnswer: l**(-5117\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (8 + (-13 + 3 - 4)) - (-11 + 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 69216*i + 138416.\nAnswer: 4*(i + 2)*(i + 17302)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -47*x**4\/24 + 35*x**3\/6 + 62*x**2. Differentiate k(f) with respect to f.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s - 10. Calculate the lowest common multiple of 6*7\/147 + (-248)\/(-14) and x(8).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16102 smaller than -420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8\/(-20)*(-21 + 1) is divided by (-3)\/(1\/(1\/(-1))).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (72\/3)\/((-12)\/(-8)). Sort -1, -3, -5, w in descending order.\nAnswer: w, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94\/9 at least 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + 2)\/5 - 6*1. Let w(d) = d**2 + 3*d - 29. Let s be w(y). Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from {s: 1, u: 1, j: 1, m: 1, q: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(0 + -29) - 1. Let q(i) = 42*i**2 - 331*i - 36. Let k be q(8). What is the greatest common factor of b and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294, -322, -368, -432, -514, -614?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v + 2*v**3 - 9*v**2 - 4*v**2 - 3 - v**3. Calculate the remainder when d(13) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1737008 and 33404.\nAnswer: 1737008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 9*b**3 + 260*b**2 + 251*b. Let p(k) = -125*k**3 - 3640*k**2 - 3515*k. Let j(f) = 55*h(f) + 4*p(f). Determine y so that j(y) = 0.\nAnswer: -51, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*v**5 - v**5 + 8*v - v - 3*v**5 wrt v.\nAnswer: -80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*z + 101*z + 0 - 391*z**2 - 3.\nAnswer: -391*z**2 + 149*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 5*g**2 + g**3 - 4*g**2 + 5*g. Let j(d) = d**3 + 2*d**2 + 6*d. Let k be -5 - 10\/(10\/(-10)). What is k*j(w) - 6*h(w)?\nAnswer: -w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449083309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-2) + (-1872)\/186. Which is greater: i or -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*t + 470 = 5*t, -5*v + 480 = 5*t. Suppose -v + 33 = -2*q. Suppose q - 3 = 2*y. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2829 and 265121?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*z - 445 = 0, 852 - 162 = 3*b - 5*z. What is the remainder when 17881 is divided by b?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/6, 1\/3, 0.01, -71571.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 19789?\nAnswer: 2\/1799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58 - -12 - 49) + 6.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/3)*j)**(-1\/14)*(j**(2\/9)*j)\/j**(4\/3) assuming j is positive.\nAnswer: j**(-5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -142\/15*b**6 + 0*b**3 + 3 + 0*b**5 - 52\/3*b**4 - 7*b + 0*b**2. Find the third derivative of w(x) wrt x.\nAnswer: -6816*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170901 and 5559.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 25 - 65. Let a(x) = 3*x**2 - x + 5. Let y be a(5). What is the highest common factor of y and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 0. Let d = 412\/2961 + 62\/423. Which is the smallest value? (a) d (b) v (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6522 - -6516.1. Let q = -0.045 + -5.755. Let l = q - j. Sort -4, -5, l, 4 in decreasing order.\nAnswer: 4, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p = -155 + 13 - 166 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 0*q**3 - 134*q - 5*q**3 + 1576 - 1571 - 5*q**4. Let o(g) = -g**5 - g**3 + 1. Let i(a) = -5*o(a) + s(a). What is the second derivative of i(h) wrt h?\nAnswer: 100*h**3 - 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlq when three letters picked without replacement from dltqluttlqdqtl.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2)*(-8)\/6. Let t(u) = -u**3 - 9*u**2 + 5*u - 4. Let x be t(-10). Suppose 14 = v*g - x. Calculate the least common multiple of 30 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 15*o - 5. Let p(r) = 9 + 14 - 31 + 10 - 7*r. Give -9*p(z) - 4*t(z).\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -4*p + 23, 3*p - 2*f - 8 = 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 2:18 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 9) + -3 - 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3784 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnnc when four letters picked without replacement from nnncncvnmmcmv?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/35 - 513\/(-45). Put 5, -1, z in descending order.\nAnswer: z, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14371064 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3985, -7933, -11879, -15823?\nAnswer: -19765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11123 (base 9) to base 11\nAnswer: -5610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2443ac2 (base 14) in base 12?\nAnswer: 599a762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 11183 = -7902. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/6 - 3\/9. Suppose 2*o - 22 = -2*n, -r*n + 0*n + 44 = o. Let l(i) = -3*i + n*i**2 - 4*i**2 + 3*i. Let j(k) = 2*k**2. What is j(l(b))?\nAnswer: 98*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -58120*v - 1. Let t(j) = 12036*j. What is t(h(z))?\nAnswer: -699532320*z - 12036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1687, 3828, 6393, 9376, 12771?\n\"Answer: -p**3 + 218*p**2 + 1494*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20076063 to three dps.\nAnswer: 0.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**5 - 27*w**4 - 60*w**3.\nAnswer: -3*w**3*(w + 4)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 101*f**2 + f + 1. Let n be h(-1). Let x = -54197 - -54298. Is n <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**5 - 115*f**4 - 635*f**3 - 1245*f**2 - 720*f = 0.\nAnswer: -16, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*g**2 + 10*g**2 + 192*g + 2*g**2)*(0*g - 2*g + 0*g) to r*g**3 + q + i*g + n*g**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5978317 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16346*g - 3305*g - 10717*g - 14840*g.\nAnswer: -45208*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o - 11. Calculate d(-14).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -755, -3036, -6847, -12188, -19059?\n\"Answer: -765*d**2 + 14*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2151, 4299, 6447?\n\"Answer: 2148*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.367 - 3.367. Let d = 11 - 12. What is the third smallest value in -3, f, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 9:03 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/96 and 143\/30?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 1573*c**8\/336 - 289*c**4\/4 - 564*c**2. Find the second derivative of n(z) wrt z.\nAnswer: 31460*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -132, -130, -124, -114, -100, -82, -60?\n\"Answer: 2*j**2 - 4*j - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2990 + 12264. Is 45 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-42))\/(252\/(-147))*-6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**4\/24 - 10*k**2. Let n be (-2)\/3 + (-56)\/(-12). Let t(p) = -2*p + 0*p - n*p. What is t(l(i))?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggmgagmg. What is prob of picking 1 a, 1 m, and 1 g?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + w + 2. Let h(y) = 3*y**2 + 2*y + 5. Suppose 0 = -2*b + 6 - 2. Let v(l) = b*h(l) - 5*f(l). Find the second derivative of v(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -91102830*a*p + 259*a - 77641 wrt p?\nAnswer: -91102830*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -155844.75 and -270.\nAnswer: -156114.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 3795.6076995538\nAnswer: -3801.6076995538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 110, 222, 318, 392?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -236 - -402. Let d = -167.42 + h. Round d to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 19*f**2 - 17*f - 1. Let i be v(7). Let y = i + -141. Suppose -5*m = d - 670, m + d + y = 6*m. Is m 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 vrdvlvvmkvvldlrrd. What is prob of sequence lvkl?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 127 = 2*l + l, -4*m + 102 = -2*l. Does 28 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -755555*m**2 - 2*m + 1. Let v be p(3). Round v to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 143, 160, 177?\n\"Answer: 17*r + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1382030389?\nAnswer: 1382030389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0298534 times -199?\nAnswer: -5.9408266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 24504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 66, 82, 100, 120, 142, 166, 192?\n\"Answer: k**2 + 13*k + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 61*z**2 - 166*z + 1776. Is 34 a factor of h(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 2)*(10*r - 5*r + 25*r)*(5*r + 0*r - 3*r) + 4*r**2 - 4*r**2 - 3*r**2 as n*r + o + b*r**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 + 4*t**2 + 3*t + 2. Let z be n(-2). Let w be (2 - (-11)\/(-5))*2. Which is the fourth smallest value? (a) z (b) 5 (c) w (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*z - 620*z - 5*z.\nAnswer: -879*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/10)\/((37 + -19)\/540).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 2:49 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - h**2 - 13*h + 9. Let p be i(4). Solve 4*g + 5*u + 10 = 0, 0 = -4*u + p + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 433 or 435?\nAnswer: 435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7933503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -315510, -1261956, -2839366, -5047740?\n\"Answer: -315482*n**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3769*c**2. Let d(k) = 27*k. Determine d(h(s)).\nAnswer: 101763*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/24 and -121\/2920.\nAnswer: 8760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.129132 + 0.1294. Round i to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from cccccclclcc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -3641873 in descending order.\nAnswer: 5, 4, -3641873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n - 13. Give r(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*x + 5 - 1, -p - 3 = -x. Let d(t) = -t**3 - 2*t**2 + t + 3. Let q be d(x). Is 1*(q + -2) - -88 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52126882.\nAnswer: 2, 26063441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011100 (base 2) in base 4?\nAnswer: -10130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 2779361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**3\/5 - 6456*h**2 + 226287*h\/5 + 387612 = 0. Calculate h.\nAnswer: -10767, -5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 7:16 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddy when three letters picked without replacement from jmyjjyemydyeyymydey.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u - 14*u - 4*u)*(-1 - 4 + 4) in the form l*u + d and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14364 and 8968?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 10 + 5 = 0. Suppose 3*g + 6 = -u + 37, -90 = -4*u + f*g. Solve p = -4*p - u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113830806091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 243\nAnswer: 10\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3 - 0. Let m(n) = 3*n**3 + 6*n**3 - 8*n**3 - n + 6*n**2 + f. Let x(d) = -6*d**3 + d**2 - 1. Let s be x(1). Determine m(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**3\/9 - 281*u**2\/3 - 1018*u - 8320\/9 = 0.\nAnswer: -832, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = i - 6296, 2659 + 1537 = 2*g + i. Calculate the highest common factor of g and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1670*h - 11691. Calculate o(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 130, 101, 88, 97?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z - 18*z = 32*z - 1297099. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129 + 390. Let l = z - 240. Solve -16 = -0*o + 3*o + b, 4*o + b = -l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**3\/3 + 4*u - 21. Let s(h) = 203*h**2. What is v(s(q))?\nAnswer: 406*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6156 = -9*z. Let a = 912 - z. What are the prime factors of a?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + b - 66, 126 = 4*x + 5*b - 0*b. Calculate the highest common factor of x and 1241.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i - 2795*i**2 + 2806*i**2 + 4*i - 6*i**3 - 2*i in the form w*i + z*i**3 + d + p*i**2 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*b - 2*v + 12 = -46*b, 2 = 2*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-6)*(-4608)\/(-10240)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -179*i + 39*i**2 - 180*i + 357*i + 1 to the form h*i**2 + l + m*i and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 15*s**2 + 2*s + 41. Calculate g(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 14 = -3*b, 5*b - 448*t - 54 = -456*t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*d = 396*d - 45 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(9) - -2*sqrt(900) - sqrt(9)) + 5.\nAnswer: sqrt(11)\/20 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 127*f**2 + 1886*f + 194480. Determine q(-130).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.5 - 6.5. What is the nearest to f in 2, -5\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 - 1039667?\nAnswer: -1039666.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gybb when four letters picked without replacement from gyypb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 5*u + 2 + 3*u)*(-5 + 1 - 1).\nAnswer: -5*u - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (62\/(-8))\/((-5 + (-117)\/(-18))\/(-96042)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -4 - 1\/(-1). Let g be (7\/14)\/(4\/(-16)). Put o, g, -3 in ascending order.\nAnswer: o, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3915908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 5 = 44. Let g = 25 - 1. Suppose 0*p - 2*p - 6 = 0, 3*n - 4*p - g = 0. Calculate the smallest common multiple of n and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/6)\/(32 - 12).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1197926 and 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccg when three letters picked without replacement from {c: 4, g: 2, v: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143)*3)*-2 + (sqrt(143)*2*6 - sqrt(143) - sqrt(143)))\/((-1*sqrt(88)*-1 + sqrt(88))\/(sqrt(32)*-1)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(468) + sqrt(468))*-6 - (sqrt(468) + 1)*-4)**2 + -4.\nAnswer: 192*sqrt(13) + 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.34472 - -0.19872. Let x be 9\/(-6)*20\/(-135). Which is the second biggest value? (a) x (b) z (c) -2\/7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -140 + 138, -6297 = -t + 2*p. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**6 + 2*j**5 - 42*j**3 + 46*j**2 - 328 wrt j?\nAnswer: 360*j**3 + 120*j**2 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 22600355\nAnswer: -22600356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 4*h - 1 - 3 + (0 + 0 - 2*h)*(-1 - 2 + 1).\nAnswer: 8*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 122500 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -75512.422 and -525.\nAnswer: -76037.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6018 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*g + 220*g - 82*g**3.\nAnswer: -82*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (9 - (9 + -10 + 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*t = -4*v + 5890, 2*v = -5*t + 5886. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1847601 is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 - (6 - 2))*(-8)\/48*1. Solve -3*z + 6 = -r, 4*r = 52*z - 53*z + t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17239 is divided by 16308.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 65.7328?\nAnswer: 32.8664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 6*j - 4. Let k be x(-6). Is 5*11 - (4 + k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13778*j + 13781*j - 3*c - 2*c = -89, -5*c = -j - 3*c - 35 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*i - 74 = -444 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -617, -601, -559, -479, -349, -157, 109, 461?\n\"Answer: 2*m**3 + m**2 - m - 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6639, -2\/7, 2, -0.1, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10220809*f**2 - 12788*f + 4.\nAnswer: (3197*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -70*i + 574. Calculate q(9).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 19*g**5\/5 + 23*g**3\/3 + 6. What is the third derivative of b(y) wrt y?\nAnswer: 456*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**3\/3 + 5*m**2 - 8*m - 10. Let n be h(9). Let c = 6 - n. Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**6\/720 + t**5\/120 - t**4\/12 + 3*t. Let c(y) be the third derivative of k(y). Calculate c(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3291502 divided by 383\nAnswer: -8594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16506526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/15 + 148*d\/15 + 938\/15.\nAnswer: 2*(d + 7)*(d + 67)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 3*p + b, -67566*p + 4*b - 85 = -67559*p - b for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/2040)\/(2\/6).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 509*a - 1013*a + 179 + 523*a - 22. Determine q(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + w - 527, 2*o + 2*o - 3*w = 1069. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 12 + 2 = 0. Suppose -5*g + 28 = 4*k - 58, 0 = -5*g - v*k + 90. Suppose 2*h - 2 = 3*y - 30, -y - 2*h = -12. Solve g*f - 16*f = -y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -16. Suppose -4*y + y + 3 = w. List the prime factors of (y + 9)\/(2\/4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -12*l**5 + 13580*l**4 + 100024*l**3 + 236744*l**2 + 191316*l + 41004 = 0.\nAnswer: -3, -1, -1\/3, 1139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4194 = -2*t, -7*n = -5*t - 8*n + 10502. Does 84 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*h = 85. Suppose 0 = p - 5, -5*a = -2*a - p - 10. Calculate the remainder when h is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 4*x - 46, 41*y - 24*x + 119*x + 1138 = 40*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1081 and -3473.9.\nAnswer: 3755285.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1424*n + 15649. What is r(11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*c - 547945 = 888395. What is the thousands digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*n, 0 = 3*p - 136*n + 138*n - 7610. List the prime factors of p.\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 75786?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -12. What are the prime factors of a\/(-1 - (-16)\/20)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwwdwddw. What is prob of sequence wd?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 = 7. Suppose 4 = 2*c - 4*c. Is c less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -17*w - 26. What is the closest to -2\/13 in 0.5, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, a: 4, d: 1, v: 2}. What is prob of sequence uau?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -791 + 4*r**2 - 789 + 1580 + 55*r**3 - 81*r**3 - 1499*r wrt r?\nAnswer: -156*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1266 by -6.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218451901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 136643.22 minutes?\nAnswer: 94.891125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -288 + 344. Suppose 6*s + v = 14*s. Solve c + 2 = s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -99, 14, 21, 4, -1 in ascending order.\nAnswer: -99, -1, 4, 14, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 3*m**5\/5 - 2. Solve q(u) = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 - 4*t**3 + 2*t**3)*(2*t - t + t) - 668*t**3 + 334*t**3 + 335*t**3 + 540*t**4 - 32*t**4 + 4*t - 4*t.\nAnswer: 504*t**4 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, 0, 92, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 0) + -2 + 7. What is the third derivative of -15*z**6 - 9*z**2 + 3 - z**2 - 316*z**3 + 316*z**x wrt z?\nAnswer: -1800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1305936747 + 0.130586. Round v to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 15 = -4*u - 13, 4 = c. What is the common denominator of (33\/36)\/(2\/4) and (2\/(-8))\/(u\/22)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 17 = -7. Suppose -x + 2*x - 12 = -3*n, -2*x + 9 = n. Suppose w + x*w = 20. Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 320*d - 33613. What is i(105)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/6)\/(3\/(-9)). Suppose 0 = z - l - 2. What is the units digit of (2 - 0 - z)*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 14*o - 40. Give j(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1349 divided by -5\nAnswer: 1349\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26474 or -26485?\nAnswer: -26474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 362207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 19*h**2 - 4*h - 5. Let s(r) = -20*r**2 + 5*r + 6. Let t(c) = 6*d(c) + 5*s(c). Suppose 5*b = 2*q + 7, 3*b + 2*q - 174 = -173. Determine t(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 - 2*u + 3. Suppose -o + 3*o + 4 = 0. Let k = -13 - -6. Let n(b) = 2*b + 5*b**2 - 10 + 5*b**2 + 5*b. What is k*v(g) + o*n(g)?\nAnswer: g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9873789 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d - 12 + 60. Solve -2*g = -d, p + 2*g - 11 = -0*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -802 or -801?\nAnswer: -801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u = 44. Let j(h) = 2 + 1267*h - 17*h**2 - 1278*h - 2. Let f(t) = -9*t**2 - 6*t. Calculate u*f(k) + 6*j(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.353619 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 339 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 10:48 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 4*o**2 + 2. Let t be z(4). Suppose 2*b - 30 = -4*a, 29 = 4*a + 223*b - 220*b. Calculate the greatest common factor of a and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 4:58 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v**3 - 12*v**2 - v + 15. Let w(u) = -7*u**3 - 8*u**2 - u + 10. Let k(r) = -5*a(r) + 7*w(r). What are the prime factors of k(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/(-170))\/((-8)\/180*(-12)\/(-16)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.123754 rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 11*x - 14. What is r(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 303300222 (base 4) in base 14?\nAnswer: 57398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88823.\nAnswer: 7, 12689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from ggllggl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 17*v**2 - 31*v + 28. Calculate t(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:38 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 + 1011000?\nAnswer: 111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 42 = -0*x. Let k(g) = 41*g - 283. Let m be k(7). What is the first derivative of 16*d**4 - 17 + 38*d**m - 14 - x*d**4 wrt d?\nAnswer: 160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942 < 1942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -26. Does h = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from {i: 10, y: 4}?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -9*(5 - (-141)\/(-27)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*i**3\/5 + 117*i**2\/5 + 386*i\/5 - 24.\nAnswer: (i + 5)*(i + 12)*(7*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13661.7 rounded to the nearest one hundred?\nAnswer: 13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73330211?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((106 - 71 - (18 + -2)) + 108)\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 10:53 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 35 = -s - 4*k, 3*s - 5*k = -16. Solve g - 3*y = 2*y + 5, 5*g = -3*y - s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(325)*-3))**2.\nAnswer: 2160*sqrt(13) + 105444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**7\/360 - a**4\/12 + a. Let y(t) be the third derivative of u(t). Let w(n) = 290*n + 294*n - n**2 - 584*n. Give y(w(c)).\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjxj when four letters picked without replacement from {j: 2, x: 2, c: 8, h: 5}.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20671 + 20674.9998. Let j = 102 - 106. Let g = h + j. What is g rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than -850.81?\nAnswer: -843.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -65 (b) 3\/2 (c) -5 (d) -0.052\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1335784, -2671563, -4007342, -5343121, -6678900?\nAnswer: -8014679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 89. Find the common denominator of (-1746)\/t*1\/(-18) and 9\/(-48)*206\/(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 h, and 1 p when four letters picked without replacement from knhcqhnkp?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1120 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*b - 32*b + m + 33, -b - 5*m + 17 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*b**4 - 43*b**3 + b**2 - 2*b + 3729 wrt b.\nAnswer: -120*b**2 - 258*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**2 + a - 4. Let r be 0 + (4 - 10) + 10 + -1. Determine s(r).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 19, 54, 125, 244, 423?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38939a + 80?\nAnswer: -38931a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + 1*sqrt(245) + sqrt(245)*-1*-6 + 2 + -1)**2.\nAnswer: 98*sqrt(5) + 12007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 32 = -3*o + 19, 5*o + 2*b + 1 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - 1 - (-70 + 72 + 86).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 91 (b) -886 (c) 109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + -3*sqrt(539) + 2 + -3*(-1 + sqrt(539) + sqrt(539)))*-1 + -1)**2.\nAnswer: -5292*sqrt(11) + 393127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 8*z**2 + 5*z - 4. Let o be y(-7). Let v = 11 - o. Let l be (5 - (4 - v)) + 1. Solve -l*q - 20 = 2*r, 5*r - q + 12 = q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 + r**2 - 2*r**2 - 2*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -161233464*x**2 - 316*x - 481381 wrt x.\nAnswer: -322466928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -785252, -785270, -785284, -785294?\nAnswer: -785300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -3\/16, 1\/2, -2\/5?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -f - 16, 28 + 4 = 5*c + 3*f. Suppose 0 = -c*q + 3*q. Suppose -4*n - 108 + 592 = q. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*q + 313*q + 516*q = 221*q + 58912 for q.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11*1*-8 - 1. Let u = 3148 + -3072. Let h = i - u. What is the smallest common multiple of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 8\/37, 1, -1478?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 9. Let i be u(-9). What is the nearest to -2\/3 in i, 4\/3, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 98271593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 225165 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 remainder when 4293563 is divided by 204455?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163092 by -2.\nAnswer: -81546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 9 = 0, x + 3*y + 3 = 14. Suppose 3*n - 51 = -36. Solve -n*z = -x*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -433 - -203?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2 + 2*d**2 + 4 - 12 + d - d**3 + 5. Give k(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 377087.1 - 15.86503.\nAnswer: 377071.23497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 20 (c) 0.11 (d) -0.3 (e) 1\/4 (f) -0.1055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.269794 centimeters to micrometers.\nAnswer: 22697.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.99 - 0.09. Let n = h + -1. Let k = 5.1 + n. What is the nearest to 0 in 0.2, k, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 303 + -309. List the prime factors of 4 + (o - -7) + 744.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 12*s - 6. Suppose 2*q - 26 = -0*q - 4*i, 0 = 2*i - 8. Suppose -2*v + 0*y = -4*y - 20, 0 = -q*v + 5*y + 45. Determine o(v).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.07139552 - -1.62\nAnswer: 2.69139552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3 - 22*m**2 - 112*m - 120 = 0. Calculate m.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -101121 or -101122?\nAnswer: -101121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*q. Suppose -2*a + q*a = -4. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 1 - 1)*((-1 + 3 - 1)*(5*p**2 - 5*p**2 + 4*p**4) + 3*p**4 - 3*p**4 - 3*p**4) - 2*p**5 + 6*p**5 - 3*p**5.\nAnswer: 5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-9) - (-7)\/((-315)\/(-1025)). Let t(b) = -b**3 + 23*b**2 + 9*b + 28. What is the units digit of t(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -264\/3368027?\nAnswer: -264\/3368027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 7 (b) 2\/3 (c) -211 (d) -3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1562213?\nAnswer: 71, 22003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4195.248 kilograms?\nAnswer: 4195248000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + sqrt(200))**2.\nAnswer: 20*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*l**3 + 174\/11*l - 270\/11 - 34\/11*l**2.\nAnswer: 2*(l - 9)*(l - 5)*(l - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 5*x - 27, -z + 5*x = 30 - 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*d - 45*d = -155*d - 1692 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36993769.\nAnswer: 71, 521039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/11*4\/(-2)*(-47)\/47?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 11:54 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1826, 4611, 7398, 10187, 12978, 15771, 18566?\nAnswer: 21363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4175418 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/62))\/n*n**(-39) assuming n is positive.\nAnswer: n**(-2419\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -100*m + 739. What is z(8)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0791277 grams to milligrams.\nAnswer: 79.1277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/(-208))\/7)\/((-320)\/(-512)).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 316201\/15 or 21080?\nAnswer: 316201\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6299 + 214215\/34. Which is greater: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f - 374*f - 1078*f + 33*f - 32*f**2 + 42*f**2.\nAnswer: 10*f**2 - 1430*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -206.738694 - -206.75. Round t to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9915435 is divided by 2478848.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -8*l - 1. Let v be r(-1). Let q(j) = -j**2 + 6*j + 9. Let o be q(v). Solve -a = -0*a + o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 22693055 and 5712.\nAnswer: 22698767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 35*y - 54*y + 153, h + y + y = 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20060 - 23566. What is the fifth smallest value in -0.4, -3, 2\/5, u, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(5) - sqrt(5)))**2 + sqrt(15)\/(sqrt(3)*-1).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*u**2 - 5*u**4 - 6*u**2 - 6*u**2 + (-u**2 - 2*u**3 + u**2)*(-2*u + u + 0*u) as i*u**4 + d + q*u**3 + n*u + a*u**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23552543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 621, 11\/5790?\nAnswer: 11\/5790","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 j, 1 h, and 1 u when four letters picked without replacement from {j: 2, u: 1, h: 7, o: 2, r: 4}?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/5))**(-15) assuming l is positive.\nAnswer: l**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 3*k - 7*k - 18, 511*u - 54 = 513*u + 8*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 8:42 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19144 + -1643. Does 37 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2043 = 13*n - 78791. List the prime factors of n.\nAnswer: 2, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108 by 6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-20))\/((21\/(-12))\/1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 9:43 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**5\/5 + 145*i**4\/6 + 196*i**3\/3 + 3*i**2 - 546. Suppose a(r) = 0. Calculate r.\nAnswer: -2\/3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - -2)\/(1 - 0). Let z = m + -4. What is the remainder when 3 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + 22 + 137 = -17 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (86*l + 3600 - 3600)*(-9 - 8*l + 9) to t + o*l**2 + m*l and give o.\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 3355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 7:23 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -123, -8, 1614 in increasing order.\nAnswer: -123, -8, 3, 5, 1614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 712628545?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s**2 - 6 + 1 + 2)*(-8 - 2 + 4) + (3 + 3 - 4)*(2*s + 1 - 1)*(12*s - 24*s + 9*s - 1) to the form w*s + j + f*s**2 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/6 or 5?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 193, 786, 1767, 3130, 4869, 6978, 9451, 12282?\n\"Answer: -u**3 + 200*u**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -337*q - 250*q**3 - 166*q + 124*q - 41*q wrt q?\nAnswer: -1500*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 - 2. Let z(x) = -2*x**2 + 4*x - 2898. What is z(p(s))?\nAnswer: -18*s**4 - 36*s**2 - 2914","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/4*(-4)\/(-6). Suppose -2*z - q = 3*v - 6, -z - v + 4 = 0. Let l = 19\/2 - z. Which is smaller: l or 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2929 + 1 = x, f = 4*x + 1478. What is the greatest common divisor of f and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -228, -510, -904?\nAnswer: -1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/35*1365\/(-42).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2. Let v(n) be the third derivative of 11*n**8\/6720 + 11*n**5\/60 + n**2 + 7. Let b(q) be the third derivative of v(q). Determine i(b(z)).\nAnswer: -1089*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1325 in -3\/16, -1\/4, 229, 1, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 24 = -29 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 50. What is the units digit of c(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:21 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/1986899 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i**2 + 16*i - 352. Determine z(13).\nAnswer: -1158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/13, 473\/1326, 0.03?\nAnswer: 473\/1326","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -436*t. Let l(k) = 1248*k + 3*k**2 - 4*k**2 - 1248*k + 3*k**2. Calculate o(l(j)).\nAnswer: -872*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/9 + 8215*t\/9 - 41050\/9 = 0. Calculate t.\nAnswer: 5, 8210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxk when three letters picked without replacement from mqcwkx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3847*g - 86060 - 6268 = 0 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8750813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**3. Let x be d(1). Suppose k - 20 = -x*k. Let a(b) be the third derivative of -b**4\/24 + 2*b**3\/3 - 7*b**2. Give a(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + 214?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + f + 2*f = 209, -t + 43 = f. Suppose -4*a + 7 = -13. Suppose -a*d = -t - 15. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5*u + 146 = -99, b + 5*b + u = -83 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 678.6676859 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 668.0972608 plus -4?\nAnswer: 664.0972608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17016 is divided by 193?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1118 - 1123. Which is the nearest to -0.4? (a) l (b) 0 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -458611*b**4 - 6*b**2 - 31672 wrt b.\nAnswer: -11006664*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + -1*sqrt(228) + sqrt(228))*-4)\/(sqrt(36)\/(sqrt(12)\/sqrt(4))).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554 = 2*h - 2*i - 556, -5*h - 2*i + 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -103464 to the nearest 1000.\nAnswer: -103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133937?\nAnswer: 3, 7, 41, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2289 divided by 979.\nAnswer: -2289\/979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (947*a + 1020*a + 3 - 2096*a)*(5 - 7 - 4).\nAnswer: 774*a - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:50 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/75*(-6)\/(-4))\/(5255\/(-1024725)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015127 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 19*b**2 - 677*b - 4207. What is o(-7)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*c + 64 = 3*r, -2*r - 4*c = -32. Suppose r = q - 14. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**40\/t*t*t**(-34) assuming t is positive.\nAnswer: t**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8677.78 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1295 (base 12) to base 16\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, w: 1, r: 1, h: 1, q: 3, x: 5}. What is prob of sequence wrhq?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -20*(-32)\/40 + -4. Solve 4*q - 3*m - v = 0, 5*m = 2*q - 0*m - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 3:13 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 4205.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268*m - 320818538 = 241772594 + 511660068. What is m rounded to the nearest 10000?\nAnswer: 4010000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 65 + 41)*(j**3 - j**3 - j**3).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8101 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*f = -4*u + 170, 4*u - f + 0*f - 14 + 25 = -0*f - 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000126972 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1857842 and 7336?\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 143.2 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w + 21. Let b be v(5). Solve j + b = -4*d + 18, 0 = -2*d + j + 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1184*f**3 - 3*f**2 - 12*f - 3. Let x(z) = 13024*z**3 - 32*z**2 - 128*z - 32. Determine 32*h(d) - 3*x(d).\nAnswer: -1184*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and 6832.\nAnswer: 116144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 5. Let l = -3.79 + 0.49. Let h = -3 - l. What is the closest to 1 in h, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -1602417255?\nAnswer: 1602417255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x + 32*x - 24 = 0. Suppose -4*g = -x*v, -4*g = v - 12 + 2. Suppose -4961 = -9*p - v*p. Calculate the highest common divisor of 41 and p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 3, l: 1}. Give prob of picking 1 l and 1 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1629*1\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 2. Suppose n + 6 = 3. Calculate the remainder when (-1)\/n - 4\/(-6) is divided by y(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105562 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: Calculate prob of sequence ermo when four letters picked without replacement from moorteoto.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -11*s - 23158. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841271.9 months in millennia?\nAnswer: 153.439325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12127 is divided by 631.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -36.2. Let r be (51 - 45)*3\/(-279). What is the nearest to z in 2, 0.5, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, 0.17 in ascending order.\nAnswer: -9, 0.17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s - 44. Let z(o) = -2*o**2. Give z(n(y)).\nAnswer: -8*y**2 + 352*y - 3872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 8913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 25 = 3. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 13*v - 15*v. Let t(r) = 89*r + 2. Let s be t(v). Suppose 0 = -4*x + s + 95. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17126160.\nAnswer: 2, 3, 5, 71359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 48. Let c = q + 2. What is the derivative of -l**3 + 20 + c*l**3 - 4*l**3 wrt l?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*c**2 - 75*c**2 + 36*c**2.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -5, -11 in increasing order.\nAnswer: -11, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46\/171 - -3\/19. Let l(h) = 11*h - 1. Let s be l(1). Let i = 6 - s. Which is the closest to -2? (a) i (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oadekoeee. What is prob of sequence ek?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(252)*-4*-1 + -5 + -1)**2.\nAnswer: 288*sqrt(7) + 4066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -901 in -2\/3, -0.5, -3, 29\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 3*t - 15 - 5, 0 = 4*t. Solve -4*y = 3*d - 3, 0 = w*d - 2*y + 3*y - 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-50)\/5)\/(4 - 1 - 5). Suppose -75 = -3*y + f + 2*f, q*y + 3*f = 85. What is the lowest common multiple of y and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*n + 211, -3*g + n - 4*n + 141 = 0. Suppose -4*q - g = -4*f, 2*f - 5*q - 17 = -4*q. Solve 0 = -4*m + f*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen quarters of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -23178*x + 220. Let m(q) = 3*q. Calculate b(m(c)).\nAnswer: -69534*c + 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**3 - 875*c**2 + 8195*c + 9075 = 0.\nAnswer: -1, 11, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -8 + -9 - 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.93 + -15. Let k = f + 2.07. Let g = -10.9 + 11. What is the closest to g in -0.1, k, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (-1 - -20) + -24?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 50*g**3 - 36*g**2 - 11*g + 15. Let w(r) = -10*r**3 + 7*r**2 + 2*r - 3. Calculate -2*n(q) - 11*w(q).\nAnswer: 10*q**3 - 5*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10 + 3 - 370*u**2 + 44*u + 311*u + 5 - 644*u**2 wrt u.\nAnswer: -2028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 - 57. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/((-2200)\/55))\/(2\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3203 is divided by 104?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8*((-544561)\/(-13287) + -41).\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/22)\/(761299\/26257 + -29).\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105 + -89. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 + -103. Let z = -14 - o. What is the units digit of z\/(-42)*3\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 + 14*z\/3 + 4.\nAnswer: 2*(z + 1)*(z + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-2)*(-3)\/(-6). Let g(n) be the second derivative of 9*n**5\/20 + n**3\/6 - n**2\/2 - 5*n. Calculate the remainder when 16 is divided by g(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/102 - (-20)\/(-24)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 4*y - 2727 + 2751, -3*y - 22 = -4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let f(v) = 70*v. Let t(y) = -10*y. Let h be (-2)\/(-1 + 27\/30). Let g(w) = h*t(w) + 3*f(w). Calculate g(c(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (8 - -1 - -4). Suppose 7*h - r - 1 = 0. Solve -8 = -2*i - h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 239154.3um?\nAnswer: 0.2391543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*q - 3 - 164*q - 3.\nAnswer: -242*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 4)*(2*b - 2*b - 2*b) - 5*b + 38*b + 15*b)*(6*b**3 - 3*b**3 - 2*b**3 - 2 - 2*b**3 + 2 + (0*b + 3*b - 4*b)*(0*b**2 - 2*b**2 + 4*b**2)).\nAnswer: -132*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 + 4*n**2 - 2*n - 1. Suppose 2*a - 2 = -4*v - 0, 7 = 2*v - a. Let i be c(v). What is the smallest value in -3\/2, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - m**2 - m + 1. Let n(s) = 5*s**3 - 8*s**2 - 3*s + 3. Calculate -n(o) + 3*v(o).\nAnswer: -2*o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/41 + -187\/246. Let z = 0.1 - 1.1. What is the smallest value in z, -2\/9, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2426077*z**3 - 1087*z**2 + 24*z - 13?\nAnswer: -14556462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27191780\/117 - 232407. Let r = h - 11\/9. Let n = 3.012 + -0.012. Which is the nearest to -3? (a) r (b) n (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 + 231485.53.\nAnswer: 231476.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + 3 + 20 + -11 - 11) + 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8885*o - 1373. Is x(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10888, -86223, -290474, -688099, -1343556, -2321303, -3685798, -5501499?\nAnswer: -7832864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 577 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -323, -1476, -3405, -6110?\n\"Answer: -388*n**2 + 11*n + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 5*m - 3*m + (m - m + 2*m)*(-6 - 6 + 4))*(-m - 2 + 2) in the form l*m**2 + d*m + t and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*q**3 - 524*q**2 + 964*q**2 + 59*q**3 - 440*q**2.\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -430 + 201. Let f = -52 - k. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/48 - 13 - (-15 + 3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/18 and 41\/505?\nAnswer: 9090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -v + 3*k, -14 + 2 = -2*v - k. Let q(t) = 15*t + 4. Let x(w) = 14*w + 5. What is v*q(z) - 2*x(z)?\nAnswer: 17*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 8*l + 15. Calculate the least common multiple of m(6) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -63*v + 314. What is p(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79520?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.58 and -1285550?\nAnswer: 1285551.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -5)*(3 - (-124)\/(-48)). Suppose 3*w - 1 = -7. Is w greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9\/11 (b) -0.3 (c) 6 (d) -1\/2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*x = -60*x - 13*x + 975 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n = -6*n - 26*n, -n - 26 = -q for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/4 + (-2)\/4. Suppose -n*z + 6 = 3*p - 3, -3 = -p + 2*z. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3868 and -0.44.\nAnswer: -0.8268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**5\/20 + 11*j**4\/6 - 7*j**3\/2 - 7*j**2 + 5*j. Let n be r(21). Let l(f) = -2*f - 14. Is 6 a factor of l(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431243 (base 5) to base 2.\nAnswer: -11100011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z. Let n be (2\/4)\/(1\/6). Let q be (-2 - -1) + n + 0. Let d(g) = 243 + 13*g**q - 243. Give a(d(l)).\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 13 + 5 = 3*x, 5*x - 13 = 4*o. Suppose -5*g = -3*g. Suppose o*d + 0*d - 51 = g. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 19431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 divided by 15?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 35787597257932\nAnswer: -35787597257931.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**6\/360 + k**5\/30 - k**4\/6 + 4*k**3\/9 + 2*k**2. Factor p(v).\nAnswer: -(v - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 35. What is the nearest to 2\/7 in -0.4, 9, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 - 3*b**2 + 19904 - 19904.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 342 = 5*o, 5*y + 154 - 23 = 2*o. Suppose -2*w - 5*k + 55 + o = 0, -w = -3*k - 78. What is w rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-20) - 59\/5. Let k be (-84)\/(-2) - (8 + t). Suppose 15 - k = -d. List the prime factors of d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000261293489 to six dps.\nAnswer: -0.000261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 5*a**2 + 10*a - 58. Calculate b(6).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -9*n - 3. Let z = 68 - 63. Let x(p) be the second derivative of -2*p**3\/3 - p**2\/2 + 124*p. Determine z*x(u) - 2*j(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9364008s to microseconds.\nAnswer: 936400.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/2)\/g)\/(g\/g**(-2\/33)))\/(g**(1\/4)*g*g*g\/(g*g*g**2*g)))**(-14\/9) assuming g is positive.\nAnswer: g**(749\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**2 - 10920*f - 7452900 = 0?\nAnswer: -1365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*m**2 - 2*m**3 - 8 + 18*m**2)*(6*m - 4 + 4).\nAnswer: -12*m**4 - 48*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 137*q - 335. Let t be z(-71). Suppose -4*f - 1\/5*f**2 - t = 0. Calculate f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 + -120. Is 0.2 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*p**4 - 2138*p**3 + 39612*p**2 + 19242*p - 358776 = 0. What is p?\nAnswer: -3, 3, 453\/14, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o - 3*h - 491, -2*o - 4*h = -540. Put 1, 4, o in decreasing order.\nAnswer: o, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2951 + 2950.8. Let r = -312 + 2179\/7. Which is the third smallest value? (a) r (b) -2\/17 (c) 0.5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10081626 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - (-1 - 19)) + 15 + (0 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -2 + (-3 - 0) + -1 + 8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 558.1 to the nearest ten.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 9. Let i be d(6). Suppose -i*q + 395 = 2*q - 3*s, 0 = -q + 3*s + 79. Let k = -74 + q. Solve 3*z - 2*r + k = 0, -2 = -5*r + 3*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 4*h**2 + 0 - h - 1 + 0*h. What are the prime factors of s(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.4 - -4. Let x = -359.4 + 357. Let g = v - x. Put -1\/4, g, 8 in increasing order.\nAnswer: g, -1\/4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 19*q**2 + q - 24. Give z(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 43, 3, -2, 2\/19, -4\/7?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 594*v - 596*v - 5*u, 4*v - 5*u = 21 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5961, -12028, -18131, -24270, -30445?\nAnswer: -36656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m**2 + 18*m + 58. Let u be h(-5). Let c = -206 - u. Which is smaller: c or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69 in 342\/139, 3\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h - 0*h. Suppose 3*p - 3*o + 6 = 0, -2*p + h = o + 4. What is the biggest value in 2\/9, -6, -1\/2, p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*m**2 - 14*m**3 - 50*m**2.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54172*p**3 - 27081*p**3 - 27090*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 - 4*l - 4. Let a(u) = -12*u**2 + 9*u + 9. Let d(n) = -4*a(n) - 9*h(n). Let g be d(1). Let j = g + 11. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-230)*(5\/5)\/1.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u**3 - u**2 - 30*u - 164. What is d(-5)?\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 0*f**3 + 0*f**4 - 2*f**2 - 1\/42*f**7 - 1\/60*f**5 + 0 + 0*f + 0*f**6. Find the third derivative of t(l) wrt l.\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 38.3?\nAnswer: 0.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {e: 1, d: 2, f: 2, c: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-20) + (-84)\/(-48). Solve -2*s = x + 4*x - 11, 0 = 4*x - s - n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -8 - (-5 - -1). Let u be -1 - 9\/(x + -4). Solve 10 = -u*y + 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((-23 - -23) + (-3 - -11))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 131391.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 4 + 3 + 6*r + 7*r**4 wrt r?\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(-9)*s)\/s)*s*s**(-3\/5)\/s)\/(s*s\/(s*s\/(s*s**2*s*s)))**(-2) assuming s is positive.\nAnswer: s**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445 = 43*s - 1950 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -6*y**4 - 3753*y**3 - 24156*y**2 - 9267*y + 11142 = 0.\nAnswer: -619, -6, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1443 and 5069.\nAnswer: 197691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 divided by 22?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 + -2. Let y = -2.04 + 2. Let k = y - 0.16. Which is the second biggest value? (a) -1\/4 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h*((h\/(h\/(h\/(h\/h**(-19\/2)))))\/h*h)\/h*h))**(-46))**(-35) assuming h is positive.\nAnswer: h**12075","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 11*r**2 - 110*r + 27. Let x(k) = 9*k**2 - 109*k + 22. Determine -5*f(i) + 6*x(i).\nAnswer: -i**2 - 104*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3*o - 58*f**3 + 88288700*f**2*o**2 - f**2 + 36812*f wrt o.\nAnswer: f**3 + 176577400*f**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -727*v + 728*v + 4. Sort 1\/7, 1, 0.2, v, 4\/5 in ascending order.\nAnswer: v, 1\/7, 0.2, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88973085, 5, 2 in decreasing order.\nAnswer: 5, 2, -88973085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/24 and 5\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12790, 25581, 38372, 51163, 63954?\nAnswer: 76745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -25 (c) -0.2347\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, 38, -4 in increasing order.\nAnswer: -4, 0, 12, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 3:57 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 390\/(-234)*(-6)\/35.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -602757 (base 14) to base 7.\nAnswer: -36326140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k - 40*k + y = -45, 5*k - 2*y - 45 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agyp when four letters picked without replacement from {i: 3, a: 1, y: 4, p: 4, g: 1}.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 16. Let l = -403 - -421. What is the remainder when l is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 != -36.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (-3 + 0 - 1) - (238 + -230)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 117896 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**3\/6 + 29*x - 1. Let z(n) = -n + n - 7*n. Determine z(y(g)).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24707.51 - -24826. What is y rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 26*j**7 - 76*j**3\/3 - j - 200. What is the third derivative of l(h) wrt h?\nAnswer: 21840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4286 + 15555. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 5*t - 2. Let p = -6 - -14. Is x(p) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2673571*c**3 - 2*c**2 + 800561*c wrt c?\nAnswer: -16041426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -596 + 2348 = 2*i + 4*j, j = 5*i - 4413. Calculate the greatest common factor of i and 252.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4\/n**(-1\/4))\/(n**1)**(-7))**7 assuming n is positive.\nAnswer: n**(315\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 209\/10290 and -97\/40110.\nAnswer: 1965390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 237040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010001101010100100 (base 2) in base 14?\nAnswer: -89c8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p - 20 = 0. Let w(g) = g**2 - 3*g - 3. Let x(z) = -z**2 + 2*z + 2. Let m be (-4)\/(-24) + 19\/(-6). Determine m*w(u) + p*x(u).\nAnswer: 2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/3)\/(4\/(-30)). Let y = -0.35 + 0.05. Which is the third smallest value? (a) y (b) r (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1 + (38 - 31)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*p - 4\/7*p**5 - 4\/7*p**2 + 4\/7*p**4 + 4\/7*p**3 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2277*u**2 + 19 - 25*u + 28*u - 2252*u**2 to f*u + y + o*u**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, j: 3, x: 1, w: 3, l: 9, c: 1}. Give prob of sequence xsj.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 360023844 to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 2:43 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -15\/13 (b) 1 (c) -2 (d) 0 (e) -1 (f) 424\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + (-9 - (64 - 16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20 or 4\/102321?\nAnswer: 4\/102321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8) - 5\/12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (6*(1*sqrt(320) + sqrt(320)) + sqrt(320))\/sqrt(10))*6)**2.\nAnswer: 11232*sqrt(2) + 195012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**5\/12 + 11*g**4\/24 + g**3 - 42*g**2. What is the remainder when z(-4) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3911 is divided by 1385?\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*p - 4*p. Let w(m) be the third derivative of p + 0*m**3 - 1\/480*m**6 + 3*m**2 - 1\/120*m**5 + 0*m - 1\/96*m**4. Suppose w(z) = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78810316.\nAnswer: 2, 13, 1515583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1491 and 41\/4483650.\nAnswer: 31385550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 125*t**4 + 84*t + 513. Differentiate p(o) with respect to o.\nAnswer: 1500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(7\/(-3) + 3). Let z be ((-8)\/x)\/((-2)\/(-90)). Suppose 0 = -6*q + q + z. Calculate the highest common factor of q and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5105411636 take away -2.6?\nAnswer: 5105411638.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/46)\/(w\/((w*(w**(-4)*w)\/w)\/w))*(w**(16\/5))**(-9) assuming w is positive.\nAnswer: w**(-7779\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 407\/24*567\/14. Let m = 688 - h. Calculate the common denominator of 142\/12 + (-18)\/(-6) + -1 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -192.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -22*b**3 - 6*b**2 - 4*b + 6. Let d be s(-3). Suppose 3*r + 3*l = d, r = -2*r - 2*l + 557. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + (29\/((-5220)\/(-400)) - 3\/(-1)). Let j = 28.47 + -0.47. Which is smaller: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/43)\/b**(-5) assuming b is positive.\nAnswer: b**(214\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144982 + 144982. Suppose 6*h - 3*h = 27. Solve 3*s - h = -2*m, 0 = -u*s - 4*s - m + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 15793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -27\/2 (b) 221 (c) -0.5 (d) -404 (e) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(1020\/48)*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 12*b + 11. Let s be u(10). Let m = s - -39. Suppose 4*l - 62 = m. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 2*n**3\/33 + 2*n**2\/11 - 6*n\/11 - 9. Factor i(j).\nAnswer: 2*(j - 1)*(j + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -27826017.113 and 130.7?\nAnswer: 27826147.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -42911360\nAnswer: 3\/42911360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 102\/765 + 0 + (-58)\/(-15). Suppose 0 = 2*f - 6 + 2. Suppose -l = -f*l. Solve -4*o = w*y - 2*o + 18, 5*o - 5 = l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (3 - (3 + 0)) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m + 42. Let u be g(13). Let q(d) = d**3 + 14*d**2 + 11*d - 27. What is the tens digit of q(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, 1, -4 in increasing order.\nAnswer: -13, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -37*b**3 + b**2 + 2*b + 1. Let h be f(-1). Let i = -16 + 26. Suppose 4*q = 2*q - i, h = 2*l - 5*q. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/7 and 19\/253969.\nAnswer: 1777783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - -9 - (15 - (24 - 9)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 497820*j - 2 - 794553*j + 0.\nAnswer: -296733*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/12439?\nAnswer: 1\/12439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 169333323?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 17\/6)*552\/486. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14 and -129.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 5*y - 2*y)*(-4 - 2*y**2 + 6 - 12).\nAnswer: 4*y**3 + 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000362 to 6 decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 10*j**2 - 3*j + 103. Let a be l(9). What is the nearest to 1 in -3\/7, a, -224?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/4 - -11\/5. Calculate the common denominator of 143\/12 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84439966.\nAnswer: 2, 13, 67, 48473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 741780 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(3 - 0) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, 12, 28, 44?\n\"Answer: 16*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 275027603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45352?\nAnswer: 2, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*-2*1\/5. Let j = -246 - -2690\/11. Which is greater: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 59\/6 - (-7)\/(45 + -3). Let h = 74 + j. Suppose -8*m = -6*m - h. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by 2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 h, and 1 f when three letters picked without replacement from mmhhhhf.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6405 = i + 3118, 0 = -2*o - 4*i + 3796. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.3, 870, 3\/4, 0.09, -73?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = k + 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 3*i - 6*i = -45, -k + 0*k = 18*i - 308 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -16.0622 >= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 4. Let a be x(-4). Let r be (32\/a)\/(2\/(-55)). Let m be (r\/(-6))\/(-2)*3. Solve -d + 4*k = -0*k - 15, 2*k + m = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -41*d**7\/21 - d**5\/10 + d**3\/2 - 3*d**2 + 162*d. Find the second derivative of c(k) wrt k.\nAnswer: -1640*k**3 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1363, -1\/8, 120 in decreasing order.\nAnswer: 1363, 120, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/5691 + -5695\/11382. Which is the fourth smallest value? (a) -0.072 (b) 0 (c) 4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 0)\/((-33)\/22). Suppose y*b + 16 = 4*b. What is the remainder when 21 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.66 + -0.1\nAnswer: -5.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35 - -244?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + i = -13, 6*z + 1 = 7*z + 3*i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/49 or 131162?\nAnswer: 131162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 680 and 9605.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36\/95 - -537\/665. Which is the closest to -4.4? (a) -5 (b) 6 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3165795, -3165822, -3165865, -3165930, -3166023, -3166150?\nAnswer: -3166317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 425 + -102. Suppose -4*z - 5*s - y = 0, 248 = -3*z + 6*s - 4*s. Let b = z + 106. What is the remainder when b is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1729*m + 4509. Let b be z(5). What is b rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 1410?\nAnswer: 16920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1.3 (c) -4\/11 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 158 + 142?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 10*h**2 - 5*h - 58. Let k be p(11). Suppose -k = -4*v + 4*b, 3*v - 5*b - 6 + 0 = 0. Solve z = -v*z + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 32, -2*l + 6*l + 3*u = -20 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 185*f + 700*f + 1974*f as t*f + g and give t.\nAnswer: 2859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 9, 3, 1.5359, 2, -0.2?\nAnswer: 1.5359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*i + 10 = -2*c, 0 = 5*c - 5*i - 20. Solve c*u - 20 + 8 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from {a: 1, d: 1, e: 1, j: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.14 + -246.86. Let k = 369.2 + f. Let r = k - 130. Round r to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 8*l + 12. Let k(s) = -10*s + 8. What is the units digit of k(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21751*v**3 - 7*v**2 + 7*v**2 + 21762*v**3.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 11, g: 1, b: 1, o: 2, v: 3, t: 1}. What is prob of sequence ogtv?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 138*c - 420. Let q be y(-3). Let f(j) = 1. Let k(i) = -i + 3. Let b(s) = 4*f(s) - k(s). What is b(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + (sqrt(2448) - (sqrt(2448) + -2 + sqrt(2448)*-1 + sqrt(2448)) - sqrt(2448) - (3 + -1 + sqrt(2448))) + 2)**2.\nAnswer: -192*sqrt(17) + 9811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -21 (c) 3 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47942, 96543, 145132, 193703, 242250, 290767?\nAnswer: 339248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/33 - (2 - 6869\/33). Let s = l + -1841\/9. Let -10\/9*w**5 - 100\/9*w**3 + 0 + 8*w**2 + 6*w**4 - s*w = 0. What is w?\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzztzzzzzaazztzaz. Give prob of sequence zz.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*w + 3 + (0 + 2 + 0)*(0*w + w - 2*w))*(3*w**4 + 0*w**4 - 2*w**4).\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2873547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*j**2 - 25 + 46 - 21.\nAnswer: -26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*l + 276 = 3*l, y - 2*l = -57. Let j = y + 221\/4. Let i + 1 + j*i**2 = 0. Calculate i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 7*r**5\/2 - r**4\/6 - 27*r**2\/2 + 10*r - 1. Is d(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 977 + 3?\nAnswer: 97a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478471 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 16?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 281 - 37. Let g = i + -44. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7223843, 14447685, 21671527, 28895369, 36119211, 43343053?\nAnswer: 50566895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 2*q**3\/15 - 2*q\/5 + 6. Factor k(y).\nAnswer: 2*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 264 = 46. Round z to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n = -9 - 19 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 210440 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rje when three letters picked without replacement from rreerjrjjee.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 1335.\nAnswer: -1335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 3*m + 30, -2*t = 3*m + 26 - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*t**6 + 5*t**5 + 1216*t**2 - 3 wrt t.\nAnswer: -1080*t**3 + 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 10. Suppose 5*v + g - 69 = 0. Suppose 0 = -2*n + 13 + 19. What is the greatest common divisor of n and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 341 - 2123?\nAnswer: -1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 1, -1\/509, -2\/7, 0.2 in descending order.\nAnswer: 1, 0.2, -1\/509, -1\/6, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3\/3 + 376*r**2\/3 - 6830*r\/3 + 28700\/3 = 0.\nAnswer: -205, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -i - 3*i. Let u(j) = -2*j**3 + 30*j**2 - 6 + 71*j - 37*j - 45*j + j**3 - 20*j**2. Give u(i).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 136 - 92. Calculate the highest common factor of 198 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(19) - sqrt(114)\/(sqrt(24)\/sqrt(4)) - sqrt(133)\/sqrt(112) - (sqrt(38)\/(sqrt(2)*1) + -4)) + -4 + 4)*1.\nAnswer: -15*sqrt(19)\/2 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.1 - 19.9. Let h(k) = 2*k**2 - 57*k - 2300. Let u be h(51). Let g = 5 - 4.6. Which is the second smallest value? (a) u (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 222413915 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/516 and -9\/8.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5*q = 8*c - 5, -c + q = -8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 2:39 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -123*m + 6007. Is v(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 13. Let d be i(0). Let c = 51 + 92. What is the highest common divisor of d and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364.6701 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -2\/5, 4.8, -15, 0.06?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 0*p - 1\/12*p**4 + 3*p**2 + 0 - 1\/6*p**3 - 1\/60*p**5. What is l in c(l) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5857621 a multiple of 599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l + 890332546 = -857467454. What is l rounded to the nearest 1000000?\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2347620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(900))\/(-3*sqrt(180)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10) - 2\/5. Let s(b) be the second derivative of 4*b + 0 - 1\/12*b**4 - 1\/6*b**3 + 0*b**2. Give s(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 10. Calculate the remainder when 21 is divided by c(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 12. Calculate y(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2904, -2902, -2900, -2898, -2896?\n\"Answer: 2*x - 2906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -19*i**3 - 11*i**2 + 557*i + 568. Calculate l(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-5743)\/713 + (-20 - -28) + 40\/460).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/3)*x\/(x\/((x\/(x**4\/x*x))\/x))*x**(1\/6)\/x**(1\/4) assuming x is positive.\nAnswer: x**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*1 + (-45)\/5. Let m(r) = -16*r - 2. Calculate the remainder when m(p) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -718*r + 524*r = -2716. Solve 0 = -r*y - 0*y + 28 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6723032*v**3 - 427577.\nAnswer: -20169096*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 127357 less than 254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303 (base 4) to base 2.\nAnswer: -110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from affu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 80, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 + 3*k + 1. Is p(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2 - 2)*(3*o - 4*o - o) - 2 - o**2 + 8531*o - 14177*o + 7172*o.\nAnswer: -3*o**2 + 1526*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9036*m**6 - 922*m**2 - 7 wrt m?\nAnswer: 1084320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144833 by 2088.\nAnswer: 144833\/2088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*s - 14, -6*t + 68 = -t + s. Let i = -168 + 187. Suppose i = 5*l - 2*j, 3*l - 7*j + 5*j = 13. Solve -2*a + t - l = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Let h be o(-1). Let f = 1 - h. Solve f*b = -2*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-3)\/21)\/((-24)\/(-14))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 2*f + 1. Let x(j) = 2*j**2 + 10*j - 26. Let r = 271 - 268. Calculate the remainder when x(r) is divided by g(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 7) in base 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00065681 to five dps.\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000100111101 + -1111001101?\nAnswer: -1001010100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**3*z**3 + 9370547*g**2*z**3 - 108981152*z**3 wrt g.\nAnswer: -9*g**2*z**3 + 18741094*g*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12914 and 82180?\nAnswer: 903980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13384 = 3*c + 5*c. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4036, -8503, -12984, -17485, -22012, -26571?\n\"Answer: -r**3 - r**2 - 4457*r + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-18)\/5) - (-17)\/(-34). Sort 2.3, b, -1\/10, 0.2 in descending order.\nAnswer: 2.3, 0.2, -1\/10, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 7 = -13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a0396a - -1?\nAnswer: -a03969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 145 - 3?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5241166 is divided by 34941.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 10900, -5.\nAnswer: -5, 18, 10900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2510 + 5263. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*135\/162*2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0257789mg in kilograms?\nAnswer: 0.0000000257789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by 4.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582*y**2 - 2321*y**2 + 585*y**2 + 580*y**2 - 78*y + 576*y**2.\nAnswer: 2*y**2 - 78*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45213319 + 13057054 = -285*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -12*x**2 - 220*x + 1217. Let y(m) = -2*m. Determine y(a(z)).\nAnswer: 24*z**2 + 440*z - 2434","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 10001010001001100001000?\nAnswer: -10001010001001100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 74773206 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: What is 0 - -406665681.5745?\nAnswer: 406665681.5745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38399895?\nAnswer: 3, 5, 37, 23063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = 25*x - 33 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.134 * 10142\nAnswer: 1359.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**3 + 19*g**2 + 9. Let v(c) = -3*c**3 - 10*c**2 - 4. Let q(z) = 4*p(z) + 7*v(z). Let r be 116\/20 - 2\/(-10). Determine q(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(20\/4)*-5. Solve s*f - 1 = 4*t, -3*f + 8*f = -3*t - 27 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7299, 29331, 66009, 117333, 183303, 263919, 359181?\n\"Answer: 7323*z**2 + 63*z - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + -1*sqrt(13) - sqrt(13))**2.\nAnswer: -20*sqrt(13) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 i, and 1 m when four letters picked without replacement from {a: 1, m: 2, s: 8, i: 2, g: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/3 + (-34)\/(-102). Put -4, 8, r, -14 in decreasing order.\nAnswer: 8, r, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4232 and 1104.\nAnswer: 25392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525*c + 154*c + 157*c + 171*c.\nAnswer: -43*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 546.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(2\/(-3))*(-18)\/(-3)*26\/(-12)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 469081?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 5 (b) -3 (c) 18 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 11184399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36*(188\/(-329))\/(36\/14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 945 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2.05. Which is the third smallest value? (a) -2 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/7)*t*t\/(t*t*t**(2\/5)*t)*t*(t*(t*t**5)\/t)\/t**7 assuming t is positive.\nAnswer: t**(-64\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/56 of a week?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, r: 2, s: 1, x: 1, n: 2}. What is prob of picking 1 x, 1 n, 1 p, and 1 r?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/3*s**5 - 2\/3*s**2 + 0 - 16\/3*s**4 + 0*s + 14\/3*s**3.\nAnswer: -2*s**2*(s + 1)*(4*s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -340, -5 in decreasing order.\nAnswer: 5, -5, -340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 996?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175297904 divided by 82844.\nAnswer: -2116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*n + 9240 = 236*n + 38*n for n.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + s + 4*s + (1 - 1 + 2*s)*(4 - 1 - 2))*((-1 + 2 - 4)*(2*s - 2*s**2 - 2*s) - 3*s**2 + s**2 - 2*s**2).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3\/4 + 225*w**2\/4 - 459*w\/4 + 231\/4 = 0. What is w?\nAnswer: -77, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 157375910 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -179 and -1.23357?\nAnswer: 220.80903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -7*z + 85. Let l be (-11)\/33 + z\/6. Let v(o) = -o**2 + 4*o. Calculate v(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-39)\/(-12)*4. Calculate the common denominator of (o\/156)\/(2\/(-212)) and 2\/7 - 1382\/280.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 9*v - 7*v, -6185 = -5*g + 5*v. What are the prime factors of g?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**3 - 5*g**2 - 6*g - 1. Calculate p(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 595, 2328, 5219, 9280, 14523, 20960, 28603, 37464?\n\"Answer: 2*g**3 + 567*g**2 + 18*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6*(0 + 0). Suppose x = -0*b - b - 21. Let n = b + 43\/2. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + r**3 + 4 + (-1 + 2*r**2 + 1)*(0*r - 5*r + 3*r) + (r**2 + 0*r**2 + 0*r**2)*(-3*r - 2*r + r) + 9926*r - 9926*r + 4*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*j - 339, 6*j - j - 5*w - 330 = 0. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430268230 a multiple of 1306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 760 = -150. Find the common denominator of u\/20 - (3 + 0)*1 and 51\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**3 + 2*f**2 - 5*f + 4. Let p(j) = -j**3 - j**2 - 37*j - 77. Let a be p(-2). Determine w(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(-660)\/(-5) - 1.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2871 - 3?\nAnswer: -2874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 15646100*s - 93876420.\nAnswer: -5*(s + 6)*(s + 3129214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -3287553\nAnswer: -2\/3287553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13668 + 13657. Let c(k) = 2*k**2 + 27*k + 45. Give c(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3128 and 31688?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 262205356 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m**2 - 1. Let t be y(1). Let o(i) = -i - 3. Let q be o(t). Suppose 0 = -0*w - 3*w. Solve -q*l + w*l = -15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 319, 5 in increasing order.\nAnswer: 1, 5, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6037, -6042, -6043, -6040, -6033?\nAnswer: -6022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155.374 - -0.126. What is i rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 = -3*w - 6, -2*o + 20 = 4*w. Let b(m) = 3*m. Let j be b(1). Suppose -3*q - j*f = -48, -q + o*f - 7 = -3. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 7*j + 1428. What is the remainder when j is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/16*4\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 75. Let s(m) = 3*m**2 - 1. Let b be s(-3). Suppose 13*v = 11*v + b. Calculate the remainder when u is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1509408 by -32.\nAnswer: -47169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 4. Suppose -8 = t - s, 3*t + 4*s + 3 = 7. Suppose 2 - 6 = -4*u. Let a(o) be the first derivative of o + 5. What is t*a(n) + u*z(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 11 = -k, -12 = 5*j - 3*k - 65. Let d be (-15)\/24*2\/j. Let y be 8\/6 + (-2)\/6. Which is the nearest to y? (a) d (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -2\/15*h**5 + 0*h + 0 - 7\/24*h**4 - 1\/120*h**6 - 8*h**2 + 5\/6*h**3. Let j be x(-7). Solve -j*i = -7*i + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/10*-38*1. Solve 5*t = -15, 5*w + t + c = 3*t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgbhlgc. What is prob of picking 2 g and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven tenths of a meter?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 2:11 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124 and 301722566.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 11.95. Let m(w) = w**2 + 2*w + 3. Let p be m(-2). Let r = -0.36 - 1.64. What is the second biggest value in x, p, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, v: 4}. Give prob of picking 1 y and 2 v.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -8?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 96376263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10471078 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**6\/60 + 103*o**5\/60 + o**4\/24 - 1361*o**3\/2 - 1057*o**2. Differentiate j(z) with respect to z.\nAnswer: -6*z**2 + 206*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75*z**5 - 73*z**5 - 2*z**4 + 3 + 150*z**5 + 4*z**5 - z**5 - 2*z**5 + (4 - 3 + 0)*(z**5 + 0*z**5 - 3*z**5).\nAnswer: z**5 - 2*z**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -108457\nAnswer: -7\/108457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 388, 387, 386, 385?\n\"Answer: -w + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 0*s + 0*s**4 - 1\/120*s**6 + 1\/2*s**3 - 7 - 3\/2*s**2 + 1\/15*s**5. Let h(z) be the second derivative of o(z). Calculate h(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82871200 to the nearest 100000.\nAnswer: -82900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 3. Let b = 3 + -7. Let k be z(b). Let u be (10 - -4) + -1 + k. What is the greatest common factor of u and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - 1)*66\/55. Suppose -9*k = -v*k + 18. Put k, -2, 0 in increasing order.\nAnswer: k, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1816460?\nAnswer: 2, 5, 90823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**5*q + k**3*q**2 + 47*k**3*q + 17*k**2*q**2 - 2*k*q**2 wrt k.\nAnswer: 120*k**2*q + 6*q**2 + 282*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -77\/46, -2, 0.4 in ascending order.\nAnswer: -2, -77\/46, -2\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3342 and 1062.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*g + 174. Let x = -10582 - -10756. Calculate the highest common factor of g and x.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -229\/7 - -33. Let g(d) = d**3 - 21*d**2 + 34*d + 78. Let o be g(19). Factor 6\/7*t**o + w*t**3 + 0 + 4\/7*t.\nAnswer: 2*t*(t + 1)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4745550.6 minutes in weeks?\nAnswer: 470.78875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -25, 2, -1689, 3, -2 in increasing order.\nAnswer: -1689, -25, -2, -0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25507 divided by -1109?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3\/2 + o**2\/6 + o\/3 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 2. Let b be v(-7). Suppose -12 - 15 = -w. What is the highest common divisor of b and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -11*r**4\/6 - 85*r**3\/6 + 8*r**2 - 4. What is the first derivative of d(s) wrt s?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*c = 103*c + 658. Solve 11*q + c - 116 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 13*k**3 + 3*k + 2. Let h be v(-1). Let b be 36\/28 + 4\/h. Let i be 17\/(-34) + (b\/(-6))\/1. Is -1 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.03 (c) 171.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 - 5*k**2 + 3*k**2)*(3*k**2 + 0*k**2 - k**2 + (-4*k**2 + 2*k**2 + 3*k**2)*(11 + 0 - 80)*(1 - 4 + 5)).\nAnswer: 1088*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417809017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + 0*o**3 - o**3 + (-438*o**2 + 823*o - 823*o)*(-4*o - 3*o + 5*o).\nAnswer: 874*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8.6836*0.0303\nAnswer: -0.26311308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d - 14. What is the remainder when 46 is divided by v(15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0621 - -3.9379. Which is the second biggest value? (a) -0.3 (b) i (c) -0.033\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*m + 4*m + 40, -5*y - m = -36. Suppose -5*u + 4 = -5*t - 6, 3*u + 5*t - 22 = 0. Calculate the remainder when 2\/3*138\/u is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3976713 and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 4. Let p(n) = -i*n + n + 2*n. Let m(h) = 2*h**2 - 357*h + 357*h. What is p(m(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3 + 0)*36\/(-30)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2) + 1))**2 + ((sqrt(16)\/sqrt(2))**2 - sqrt(2) - sqrt(2)).\nAnswer: 48*sqrt(2) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-7 + 2) - (4 + -2 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**3 + 4*k**2 - 9*k - 4. What is b(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3\/7 + 1603604*z**2\/7 + 45920689600*z + 642883240000\/7 = 0.\nAnswer: -400900, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 - -34. Let s = v - 128.7. Let c = -21.54 + -0.46. Is c greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 0.1. Let n = 5.2 + o. Let c = -933\/7 - -2813\/21. Which is bigger: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201 - 213 = 6*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - 1.3. Let a = u + -4.1. Let q = 70055 - 70050. What is the nearest to -2\/3 in -4, a, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-6 - -6 - 9) - (-2 + 22)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.12\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*s - 40 - 13, 0 = -3*p + 2*s + 61. Let a be (-2 - -1)*(0 - 0). Suppose a = o + 7 - p. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 93 = g, 274 + 156 = 5*g + 2*k. Let o = g - 86. Solve -o*l - 4 = -6*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012232 + 12220323?\nAnswer: 13233221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 3 (b) -2\/7 (c) -176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 450 + -428. Calculate the remainder when 233 is divided by 2\/(3596\/16027 + (-4)\/u).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 2*h - 245. What is the remainder when 173 is divided by h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7)*(g*g**(3\/7)\/g)\/g)**(-1\/8)\/(((g*g**(-2\/9)*g)\/g*g)**24)**(7\/12) assuming g is positive.\nAnswer: g**(-6263\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.2 + -10.8. What is the closest to -2\/3 in u, 5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98253.\nAnswer: 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -11512.23 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001011011011101100 (base 2) to base 7.\nAnswer: 10040221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 2) + -5 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 30956.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m + 7. Determine w(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*c + 945*c - 110976 = -288*c + 42*c for c.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwshwswwwwswwwh. What is prob of sequence sh?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (242\/(-16))\/(-1) + (-16)\/128. Suppose -2*y + 8 = 0, 0 = r - 15*y + 11*y + v. Which is smaller: -1\/502 or r?\nAnswer: -1\/502","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -p - 3*p. Suppose -h + 3*h = 0. Suppose 4*z - 5 = -p*q + 9, h = -5*q - 2*z + 12. Solve 3*d - 8 = -q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - -5)*(1 - (66 - -1)). Let o = v + -63. Suppose -o*b = -2*h + 1 + 1, -3*h - 11 = -b. What is the second smallest value in 10, 3, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/6433 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*4*(-15)\/(-20)*-2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 3*f**2 + 2*f - 6*f**2 as k*f**2 + w + u*f and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1129*b**3*u**3 + 139*b**3*u**2 + 2*b**3 - u**2 wrt u?\nAnswer: -6774*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1145 and -161449?\nAnswer: -184859105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**5\/11 + 3054*o**4\/11 - 175782*o**3\/11 - 379094*o**2\/11 + 891192*o\/11 + 1091448\/11 = 0.\nAnswer: -3, -1, 2, 62, 1467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165433 and 266.\nAnswer: 2316062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z**2 - 23191 + 23191.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ztzttzzzztzzttzuzz. Give prob of picking 3 t and 1 z.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-57)\/(-6) + 15\/(-10). Let z be (2\/(-4))\/(2\/x). Let m(y) = 738*y**3 - y + 2. Let q be m(z). What is q rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1669917767?\nAnswer: 7, 4603, 51827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 6. Let y be 5\/1 + -1 + 1. Let m be p(y). Let n be 82\/28 - ((-1746)\/252)\/97. Solve m = n*c - c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y = -12*y - 11*y + 14*y + 575 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -1861 - -7487\/4. Let k = -153 - -91. Calculate the common denominator of v and k\/(-70) - (-4)\/(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2619 - 1426. What are the prime factors of w?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 4*s + 28, -u + 2*u + s + 3 = 0. Factor 2*d**2 - 5*d**2 - d**u - 12*d + 4*d**4 + 8*d + 4*d**3.\nAnswer: 4*d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 + 3*i + 4. Let y be s(4). Let k = 68 + -95. Let x = k + y. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 11 = -4*n, -n - 13 = -2*b - 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -35. Let d = n + -16.99973. Round d to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 919*o - 55. Let i(j) = 459*j - 27. Let r(l) = -7*i(l) + 4*p(l). What are the prime factors of r(4)?\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*l**3*w + 138*j**2*q - 226*j**2*w + 2*j*l**3*w + 2*j*l*q*w + 2*j*l - 78*j*w - 234*l**3 wrt j?\nAnswer: 4*l**3*w + 276*q - 452*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3\/3 - 3265*l**2 + 13080*l - 39260\/3.\nAnswer: -5*(l - 2)**2*(l + 1963)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-82))\/1*337\/((-288135)\/190)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 6*f + 7. What is c(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r - 11. Determine m(-22).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3 = -3*o + 24, 4*o = 3*s + 11. Suppose 0 = -9*r + o*r + 32. What is the greatest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2590778479?\nAnswer: 41, 5147, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -667 + 668. Suppose 0 = 3*p + p + 8. Does 4 divide ((-87)\/6 - o)*p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -21, 4, 60761, 3 in decreasing order.\nAnswer: 60761, 7, 4, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(112\/(-12) + 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten thirds of a hour?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 4*l**2 + 10*l - 32. Let v be 73\/(-584) - 6*(-22)\/32. Determine a(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 587, 1083, 1601, 2147, 2727?\nAnswer: 3347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, 433, 980, 1527?\nAnswer: 2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1008?\nAnswer: -1\/1008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -477.57 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40440 divided by 6.\nAnswer: 6740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6578\/3 + 657443\/300. What is the common denominator of r and 19\/200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) -0.05 (c) 5 (d) -4.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 5*d - 4*d - 23, 6*a - 5*d + 45 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {s: 1, z: 17}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 26 + 2. Let r be 4 - 4\/v - 4. Which is the biggest value? (a) -4 (b) r (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80018\/17507 - -2\/2501. Factor -h - 16\/7*t - 2\/7*t**2.\nAnswer: -2*(t + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 824118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 + 17*w. Let u(b) = -9*b**2 - 17*b + 5. Let i(z) = -5*z**2 - 8*z + 3. Let h(g) = 5*i(g) - 3*u(g). Let p be 31\/4 + 2\/8. Give p*h(x) - 5*f(x).\nAnswer: x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 - 80. Suppose y + p - 48 = 0. Let m = 55 - y. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31015, -61979, -92827, -123559?\nAnswer: -154175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -241805*a**3*c + 537*a**2*c**3 + 174*a*c**3 - 329259*a*c**2 wrt a.\nAnswer: -1450830*a*c + 1074*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/18)\/((-1)\/12). Let j(k) = -3*k - 47. Let v be j(u). Let a be (-92)\/(-448) - (-1)\/((-7)\/1). Put 0.3, a, v, -4 in descending order.\nAnswer: v, 0.3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i**2 + 6*i**2 + 5*i**2 + 26*i**3.\nAnswer: 26*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 500*y + 5 - 10.\nAnswer: -500*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 10550258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. What is the remainder when 26 is divided by s(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1.2. Let x = 0 + o. Let s = -13 - -13. What is the closest to -1 in 0.4, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 19. Let k be f(9). Suppose 0 = -3*u + 17 - 2, -3*j = -5*u - 26. Let o = k + j. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362893249 is divided by 51841892.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 114237267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -140 (base 16) to base 9\nAnswer: -385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7021 - 7021. Put 4, -5, 133, k in increasing order.\nAnswer: -5, k, 4, 133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -304546 divided by 218\nAnswer: -1397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-54)\/8)\/(-3))\/(513\/1368). Solve 0*r + r + q = 3*p, -5*r = -p + 16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 239\/5 - 342\/(-285) and 21.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (180\/(-21))\/30*(0\/1 - 42371)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11647\/61 greater than -192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*s**2 + s**3 + 12*s - 9*s - 4 in the form h*s**2 + x + q*s + f*s**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -4, 1\/6, 3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-148)\/(-52) - (-8)\/52\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**4 - 4659*u**3 + 9282*u**2 + 37224*u = 0?\nAnswer: -2, 0, 4, 1551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -466961 by 215.\nAnswer: -466961\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 20526150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -242*m**2 - 2426*m + 58. Give x(-10).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 - 74 = 11*y. Suppose 95 = 5*z - 4*b, 0*b = -y*z - b + 95. Calculate the remainder when z is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*(q**(2\/5)\/q)\/q))\/q**(-11\/6))\/(q\/(q\/q**(-2\/5)*q*q)*q*q**(2\/13)*q*q) assuming q is positive.\nAnswer: q**(209\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 3 - 3)*(0*m - 3 + 0*m - 2*m**2 + (3*m + 0*m - 5*m)*(0*m + 0*m + m)).\nAnswer: 24*m**3 + 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2. Let a(o) = -210*o**2 - 45*o**2 + 32*o - 32*o. Give q(a(c)).\nAnswer: -130050*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198\/3080*8\/3*((-22)\/(-6) - -1).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7855*w**2 + 2382 wrt w?\nAnswer: 15710*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -79 - 2*p + 3*p + 8*p + 28. Let w be g(6). Suppose -w*b - 68 = -4*b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2799 (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 499939.7 years to centuries.\nAnswer: 4999.397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 5.5. Let o = 9 + -11. Which is the biggest value? (a) 4 (b) o (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 4\/(4\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 7. Suppose -2*m + g*m = 18. Suppose 5*v = 3*t - 155, t + v = 187 - 122. What is the remainder when t is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, 38278, -2 in descending order.\nAnswer: 38278, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:48 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.63 - -9.36. Let k = j + -12. Sort 1, k, 1\/2 in decreasing order.\nAnswer: 1, 1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 - 162*y + 1524. Calculate d(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -9*g + 7*g. Suppose -g*d = 5*i - 2*d - 30, -4*i - d = -27. Factor 13*n**3 + 0*n**4 + i*n - 4*n**4 - 17*n**2 - 1 + 2*n**2 + 0*n.\nAnswer: -(n - 1)**3*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*p + 2*a**2 + 2*a*p - 215*p with respect to a.\nAnswer: -2*a*p + 4*a + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1065?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40374, -161481, -363326, -645909, -1009230, -1453289?\n\"Answer: -40369*r**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 355, 352, 359, 382, 427, 500, 607?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238171671.\nAnswer: 3, 2940391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 4:25 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 36 = -12*h. Let v(i) = 11*i**2 + 19*i - 32. Let p(b) = 7*b**2 + 13*b - 21. Let g(q) = -8*p(q) + 5*v(q). List the prime factors of g(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -11*f**4\/24 + 2*f**2. Let y(t) = t**3 + t + 5. Let w be y(0). Let d(r) = -w*r + 2*r + 2*r. Give d(p(v)).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 18 = 10*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = u + 21, -6*q = -3*q - u + 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 3*q + 6. Let h be f(-5). Suppose o = -2*l + 15, -2*o - 4*l + 35 = l. Let m(p) = 2*p + o + p**2 - 4 + 2*p. Calculate m(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 5*p**4\/12 - 197*p**3\/6 - 34*p**2. Let k be n(20). Solve -14*l + 13*l = k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2108087866?\nAnswer: 2, 67, 15731999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 339*z + 4687. Determine b(-14).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93\/329 - -1\/329. Let y = -2.8 - -13.8. Let z = y + -10.8. Which is the smallest value? (a) z (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*d - 58, 3*r + 2*d - 76 = -3*d. Let v = r - 11. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/1528048104 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 + 98 - 30 + 429*c**2 - 36 to h*c + q + x*c**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {g: 8, h: 1, k: 1, f: 6, x: 3}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21287701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 949 and 27375?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1\/1*(10 + 155) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 171196, 342567, 513936, 685303?\n\"Answer: -l**2 + 171374*l - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171 - 183 - (-11 - (-3 + 5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-7) + (-1 - 1). Let t = 0 + 2. What are the prime factors of 2 + 1*v\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15089 is divided by 7291.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1102110100121020?\nAnswer: -1102110100121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1724*b*w + 11964*b + 571223932*w wrt b?\nAnswer: 1724*w + 11964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2357*l - 2550*l - 1544 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 252 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsns when four letters picked without replacement from sossonnzsoo?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-93)\/((-8928)\/64))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 3*s - 6 = 0, -2*s - 208 + 212 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 8*u**2 - 44*u + 5. Let i(a) = -26*a**2 + 132*a - 16. Calculate -3*i(t) - 10*k(t).\nAnswer: -2*t**2 + 44*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7*x - 112*x**2 + 60*x**2 + 50*x**2 + x. Let q(d) = 4*d**2. What is q(l(z))?\nAnswer: 16*z**4 + 96*z**3 + 144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 222 + -219.9. Which is the nearest to 2? (a) 5 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1185 divided by -26752?\nAnswer: 1185\/26752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 1066.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 12083625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405\/135 - (-5741 + 0).\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -52838, -52802, -52766?\n\"Answer: 36*d - 52874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in months?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 19*y**4\/12 + y**3\/2 + 2*y**2 - 45*y. Let m be s(-1). What is the greatest common divisor of 15 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - q - 18, -3*d - 3*q = -0*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + q = 1, -5*q = -3*o - q - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 + 57. Let w(z) = z**2 - 9*z + 3. Let o(k) = -4*k**2 + 28*k - 8. Let j(y) = -2*o(y) - 7*w(y). List the prime factors of j(b).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5368 and 17813464?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2981 divided by 271.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18156, -18149, -18148, -18153?\nAnswer: -18164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtj when three letters picked without replacement from jvtjjvvjt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 854 = 25*y - 27*y. Let v = -1813 - -25393\/14. Calculate the common denominator of 302\/(-126) - 122\/y and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 3*m - 66 = 0, 5*q + 24*m = 23*m + 44 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 106\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -3)*(2 - 4). Let f(q) = q**3 + 4*q**2 - 3*q - 9. Let a be f(m). Let s be a + -1 - (-1 - 0). Solve s = 2*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/(-270))\/((-1)\/2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o - 1. Let y be w(-1). Let l(i) = i**2 + 7*i - 7. Let n be l(y). Let t = -11 + n. Solve 5*g - j = -23, t*g - 16 = g - 4*j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 - -485. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1092.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 + -36 + 45.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 795 + 606. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.2 + -7.\nAnswer: -29.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x + 4 = 0. Let w = 5 - x. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38a + 5?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 13*m - 15*m + 30, -m = -2*z - 3. Let g(u) = 3*u**2 + 7*u - 7. Let j(k) = k**2 + 4*k - 4. Let p(r) = -2*g(r) + 5*j(r). Give p(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5027 = 238*v + 342*v - 16047 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -3*y - 24, 2*g + 0*g + y = 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.94 and -68?\nAnswer: 267.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 678800 and 120487000.\nAnswer: 240974000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s - 3*s + 2 + s. Let b be u(-4). Is (b - 15\/(-6))*254 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and 27023.264?\nAnswer: -2972.55904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 173 - 169. Solve 3 = -a + u - 4*u, -a = 4*u + d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 14 + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1646926630 to the nearest integer?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9435 - -14815. Suppose 0 = j + 5*w - 2700, 0 = 4*j - 2*j + 5*w - b. What is j rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3 + j**3 - j**3 + 9*j**2 + 0 - j**3. Calculate c(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*o + 5*o + 2, -p - 4*o = -11. Let v be p - (-230 + -2) - 5. What is the greatest common divisor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13831, -13846, -13861, -13870, -13867?\n\"Answer: i**3 - 6*i**2 - 4*i - 13822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 10*l - 15 = 0. Let r(p) = -p**3 - 5*p**2 + 5. Let n be r(-5). Solve 0 = -i + 3*h - n, -12 = -3*i + i - l*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 15 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 633396671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from {r: 1, i: 2, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131975 - -431155. What is f rounded to the nearest 1000?\nAnswer: 299000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 3164066720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9862 and 4.\nAnswer: 19724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86)\/(-7) - 5 - 7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 0*s**2 + s**2 - 36*s - 25*s + 61*s. Let a(w) = -39*w. Give o(a(x)).\nAnswer: 1521*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2))**(2\/19)*(h*h**7)\/((h*h*h**(3\/7))\/h*h)*(h**(-5\/6)*h\/h**(-5\/6))\/((h\/h**6*h)\/(h**(-3\/5)*h)) assuming h is positive.\nAnswer: h**(7331\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.488631 + -2741.478631. Let s = v - -2754. Let q = -13 + s. Sort -0.3, 0.1, q.\nAnswer: -0.3, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293027 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/1044*(42\/(-8))\/(4\/16). Which is the smallest value? (a) w (b) 0.4 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p\/p**(-1\/6))\/p*p)*(p\/(p\/((p\/(p**1*p))\/p)))\/p)**(-27))**(-1\/52) assuming p is positive.\nAnswer: p**(-225\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*j - 25*j + 16211200. Round j to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 17 = -3*w, 2*n + 2*w + 0*w - 10 = 0. Let q = n - -96. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5606\/3 - 3737\/2. Which is the nearest to 1\/4? (a) -2 (b) i (c) 66 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5091 = 4064. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 2213*r - 67283. What is k(30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + (-4 - -16 - 14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 5*i = 0. Suppose 5*t - 5*c + 5 = 4*t, 0 = -3*c. Let k = t + 4. Put i, -6, k in decreasing order.\nAnswer: i, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001624 rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169 or -145?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 3*s - 10, -2295*s = -3*p - 2298*s + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-61 - -55 - (-5 + 0))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22*(-18)\/24*440\/(-15)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 846, 6089, 20296, 47949, 93530, 161521, 256404?\n\"Answer: 747*g**3 + 14*g + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3021 = 211. Suppose 798 = 16*o - q. What is the remainder when o is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 325 + 10365?\nAnswer: 10712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjttjitjjitt. Give prob of picking 1 i and 1 t.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -27, 3, -59085 in descending order.\nAnswer: 3, 1, -27, -59085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + u**2 - u + 2. Let q be s(0). Suppose -6*p + 42 = -4*p - q*x, 0 = 4*p + 2*x - 66. Which is the third biggest value? (a) p (b) -1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94905.47 meters to centimeters.\nAnswer: 9490547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.6 + 5. Let y = 24652\/41495 - -49\/8299. Sort z, y, -0.1 in ascending order.\nAnswer: z, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**4 - 1254*j**3 + 5127*j**2 + 26586*j = 0?\nAnswer: -422, -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -9. Sort -3, -4, f in decreasing order.\nAnswer: f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2499*p - 31617 = -226539 for p.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10*x**3 - 1741*x**2 + 29*x - 10. Let i(a) = 2*a**3 - 348*a**2 + 6*a - 2. Let q(v) = 11*i(v) - 2*m(v). Find the second derivative of q(c) wrt c.\nAnswer: 12*c - 692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 10*h + 96 = 0. Suppose 0 = 7*o - 47 + h. Suppose o*v - 10 = 2*u - u, -3*u + 2*v - 4 = 0. Solve 5*g + 5*r + 3 + 37 = u, 0 = 4*g + r + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 100022000?\nAnswer: 100021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*p = -5, 52*z - 5*p - 5 = 53*z. Solve 23 - z = -6*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 312280993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 12*w**2 + 13*w + 24. Let m be i(-11). Suppose 3*v - 87 = 2*t + 35, 16 = -4*t. Let d = -35 + v. Solve m*p = -d - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -3\/7, -6\/97, 12\/11, -0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/2 - -1) + 2 - 131. Let l = 326 + q. Is 24 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 0 + 0*s - 3\/8*s**4 + 7\/6*s**3 - 4*s**2. Let q(r) = -8*r + 6. Let z(x) = 3*b(x) - 4*q(x). Differentiate z(h) wrt h.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = -4*d. Let q(r) be the third derivative of -r**6\/40 - r**5\/30 + r**4\/12 - r**3\/6 - 16*r**2. Determine q(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/24*1*(-96)\/9. Let z(l) = l**3 - 7*l**2 - 8*l + 8. Give z(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 10:00 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.48 * -2.15\nAnswer: 3.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -1 (c) -12 (d) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 4680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -15. What is the lowest common multiple of 18 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38239471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 4*v + 12. Let q(l) = 4*l + 12. Let z(a) = 5*q(a) - 4*x(a). Let n be z(-6). Is (n + 1)\/(3 + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(4 - 7)*-19. What is the greatest common divisor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236371 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**2 - a + a)*(-5715 - 112*a + 5715)*(-4*a - 3*a + 3*a) as p*a + i*a**3 + h*a**4 + w + u*a**2 and give h.\nAnswer: -896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10101 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635719 is divided by 74.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 180*d + 369. Give a(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 66\/5 and 9419 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozc when three letters picked without replacement from zgozcop.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**4 - 26*k**3 - 13*k + 216*k**2 - 216*k**2 wrt k.\nAnswer: -24*k**2 - 156*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000048392 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 17 + 2)\/1. Suppose -o = -0*w + 5*w. Let z = w - -12. Calculate the smallest common multiple of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -10. Suppose -3*r + w + 0 = -4*y, 5*r = -5*y + 60. Factor -r*j**3 + 2*j + 8*j**3 - 2*j**5 + 4*j**4 - 4*j**2.\nAnswer: -2*j*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-9) - (-1644)\/18. Suppose 328 + v = 4*m. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25112 is divided by 887?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141412 + 341104?\nAnswer: 1033021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.61 * 0.2.\nAnswer: -0.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -64, -28, 42, 158, 332?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-9) - 575\/(-69). Let d(s) be the second derivative of 0*s**2 + 2\/105*s**w + 2\/15*s**3 + 0*s**6 + 0*s**4 + 0 - 2\/25*s**5 + 5*s. Factor d(o).\nAnswer: 4*o*(o - 1)**2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 13*g**2 - 5*g + 59. Let j be d(14). What is the greatest common factor of 222 and j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4583\/3652 - 26\/83. What is the common denominator of c and -9\/28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51 + 260?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -776*v**4 - 9808*v**2 - 1240*v**4 - 1994*v**4 wrt v.\nAnswer: -96240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + -29. What is the lowest common multiple of y and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -189*s. Suppose 4*v = 2*o - 28, 12*o = 7*o + 10. Let r(u) = -11*u - 6. Let l(t) = 13*t + 7. Let k(z) = v*l(z) - 7*r(z). Give y(k(g)).\nAnswer: 189*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203178428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.9242 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57114 - -83471. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h - 22. Let i(c) = 10*c - 21. What is -3*i(g) + 4*w(g)?\nAnswer: 6*g - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 60*o - 533. Calculate i(7).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 1377?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/14*4\/(-6). Let x = -66.79 - -67. Let q = 0.21 - x. Which is the closest to 2? (a) 3 (b) q (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14764, -29380, -43864, -58222, -72460, -86584, -100600?\nAnswer: -114514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479 + 489 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-34)\/d*d*d**22)\/(d**23\/((d\/(d*d**37*d))\/d)) assuming d is positive.\nAnswer: d**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a hour in seconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**5\/20 - p**4\/3 - p**3\/3 - 9*p**2\/2 - 20*p. Let x be l(5). Solve -2*m - x = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11514 + -611\nAnswer: -12125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**3 + 8*r**2 + 11*r + 20. Let t(j) = 2*j**3 - 3*j**2 - 4*j - 7. What is 4*p(q) + 11*t(q)?\nAnswer: 2*q**3 - q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/s)\/(s\/(s\/(s*s*s*s**(2\/9))))*((s*s\/(s**(-5\/4)\/s))\/s)\/((s*s**(1\/7))\/s) assuming s is positive.\nAnswer: s**(-1541\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-40)\/12 + 4)*30. Does 3 divide (-10)\/(p\/80*8\/(-34))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285335 * 1791\nAnswer: 511034985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 - 2*l + 5*l + 5*l**2 - 3*l**3 - 2*l**3 + 2*l.\nAnswer: -5*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*k - 6*k**4 - 1 - 25*k - 30*k + 3*k**4 - 4*k**2 as a*k**4 + s*k + d*k**3 + q*k**2 + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*u - 26 = 0, -3*g - 4*u = 1 - 3. Let j = g - 3. What is the second derivative of 2*a + 2*a + j*a + a**4 - 4*a wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 - 71*a - 24. Let o be j(24). Solve 2*i - p + o*p - 3 = 0, -4*i = 4*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, 1, -676\/3, -605?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1058593, 1061567, 1064551, 1067551, 1070573, 1073623, 1076707, 1079831?\n\"Answer: o**3 - o**2 + 2970*o + 1055623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o + 23 - 47 + 24.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, x: 1, a: 2, q: 1, v: 2, w: 3}. Give prob of sequence wq.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 0 - 6. Let t = 5 - r. Differentiate -1 + s + t + s wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350 and 46690.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kss when three letters picked without replacement from {s: 8, k: 5}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13\/((-130)\/4)*5)\/(-872). Is -1 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Let d(c) = 1. Let w(l) = -4*d(l) - 3*y(l). Let o(v) be the second derivative of v**3\/3 - v**2 + 5*v. Determine 5*o(b) - 3*w(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1172)\/(-4) + (5 - 6)*-4. What is the greatest common divisor of i and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -18, -71, -176, -351, -614, -983, -1476?\nAnswer: -2111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -304, -444, -568, -670, -744?\nAnswer: -784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -802939564333400 + -0.2\nAnswer: -802939564333400.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 18*s = -452. Let a = 202 + s. Calculate the remainder when a is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19728 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, -3, -10, -21, -36, -55, -78?\n\"Answer: -2*u**2 + 3*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/13)\/(a*a\/(a\/(a\/(a*a**(-11)\/a)))))\/(a*a**(9\/5)*a**(-2\/27)) assuming a is positive.\nAnswer: a**(-27869\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -7220521\nAnswer: 5\/7220521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3362 = 2*f - 3350, 4*f = 19*i - 24 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-22))**(-39) assuming q is positive.\nAnswer: q**858","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 153?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**2 + 9*z - 144. Let d(w) = -5*w**2 + 8*w - 128. Let f(v) = -8*a(v) + 9*d(v). Let l(r) = 182*r. What is l(f(i))?\nAnswer: -910*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4 = -3*j - j, -3*b + 2*j - 2 = 0. Suppose 3*r = -b*r + 6. Solve -r*o - 3*o = 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492405 to the power of 1\/2, to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*z = -3*s - 2, 4*z = 4*s + 24. Let i(u) = 2*u**2 + u + 1. Let r be i(s). Let n = -7 + r. Solve 0 = 3*b - 12 - n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1395861 is divided by 127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 19*s + 19 = -20*s, -2*s = -2*f - 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n. Let t(z) = -8*z**2 + 28*z + 28. Let q(y) = -y**2 + 3*y + 3. Let f(s) = 28*q(s) - 3*t(s). Calculate f(o(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -5*o - 5, 4*q = 2*o + 6*q + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 56 = -2*x, 58 + 30 = 3*x + 2*l. Let h be (-3)\/(-10) + 6\/x. Put -0.34, h, 0.4 in ascending order.\nAnswer: -0.34, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1338 - -1412.9. Let g = z + -3.9. Let o = g + -86.4. What is o rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 449, 828, 1207, 1586?\n\"Answer: 379*b + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 + -13.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-68)\/153*729\/(-6) is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/22 and -83\/7780028.\nAnswer: 85580308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 736 = -37*n + 5 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100101011000011110101 + -100?\nAnswer: -1110100101011000011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 315717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 430508 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 2a?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273991 is divided by 982?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1446.0569432152 - 4.\nAnswer: -1450.0569432152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/(-24))\/((-3)\/12). Suppose -3 = p - 2*p, 0 = -z*q + 3*p - 4. Solve -q = -2*f - 3, 3*v - 3 = -3*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -5. Let d = 0.4 + -0.4. Which is the closest to 0? (a) -4 (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*f - 5*u - 5, -2*f - 4*u - 18 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16925 and 6125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8*w**2. Let l(i) = 7*i - 5. Let n(g) = 45*g - 13. Let r(t) = -23*t + 5. Let b(c) = 3*n(c) + 5*r(c). Let y(o) = 5*b(o) - 14*l(o). Give k(y(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*y + 174*y - 57497 = 542*y - 17447 for y.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 71*p - 31. Is 20 a factor of k(-37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 15*j + 10. Let p be c(6). Suppose 3*y = -o + 16, -3*y - 2*y + p = 5*o. Let l(r) = 5*r - 7. Calculate the lowest common multiple of l(5) and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*c**3 - 115*c**2 - 19*c**3 - 17*c**2 wrt c.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 7\/407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 4. Let h(i) = -i + 2. Give 5*h(y) + 3*n(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7548 divided by -6.\nAnswer: -1258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1160 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-308)\/35)\/(4\/(-10)). Calculate the highest common factor of 55 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15010.8 - 15011. Sort -1, t, 1, 0.06, -0.7.\nAnswer: -1, -0.7, t, 0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21375*b + 21374*b - 4*c + 3, -15 = -5*b + c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -41.3. What is the second biggest value in s, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9959975 and 2025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5373 divided by 8.\nAnswer: -5373\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*p + j, -15*p - j - 14 = -18*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -71, -0.5, 65.6, -0.2, 3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69878492*b**2*w - 2*b*w - 5134*w + 2738 wrt b?\nAnswer: -139756984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/15 (b) 2.25 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.3 - -28. Let x = q + -5.7. What is the closest to -2\/7 in x, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -11001010?\nAnswer: -11000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**3 - 14*x**2 + 20*x - 17. Is p(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/6191 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31, -63, -97, -133, -171, -211?\n\"Answer: -w**2 - 29*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.4015.\nAnswer: -0.0803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9171 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2*p = -46, 8*v - 4 - 14 = 13*v + 2*p - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q - 5*n = -6, -q - 3 = -2*n. Suppose -18 = -5*u + 5*w - 23, 7 = -2*u + 7*w. Solve q*i = -3*f - 21, 4*f = -5*i - u*i - 32 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 1.17?\nAnswer: 18.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-31)\/(m*m**(-16)))\/(m*m**(1\/15)*m*m*m**(2\/3)*m) assuming m is positive.\nAnswer: m**(-311\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1))**(-36)\/((g*g*g\/(g\/((g*g\/((g*g**4)\/g))\/g)))\/g*g**0) assuming g is positive.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -812.56 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) 2\/9 (b) -2 (c) -3\/19 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37889648*a**3 + 36246934 wrt a.\nAnswer: 113668944*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -33*w**3 + 9*w**2 - 3*w - 9. Let a(t) = -8*t**3 + 2*t**2 - t - 2. Let m(j) = -9*a(j) + 2*v(j). Find the second derivative of m(s) wrt s.\nAnswer: 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeoffeffooefeoefe. What is prob of sequence ooo?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from polpplp. What is prob of sequence ll?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -789*w**2 - 221 wrt w.\nAnswer: -1578*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 + 80. Let l be (j\/5)\/(2*(-2)\/(-10)). Suppose 5*a - 20 = 0, -5*n + 307 = l*a - a. What is the remainder when n is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0871344 + 10?\nAnswer: 10.0871344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -18. Suppose x*a + 103 = 37. Suppose 0*i + 2*i + m = -39, -m + 49 = -2*i. Are i and a non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -2126.5.\nAnswer: 2126.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5be8 + 156?\nAnswer: -5a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-16)*-9)\/(21\/(-56))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.24896985 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/41))\/q*q*q**(1\/9))**(-42) assuming q is positive.\nAnswer: q**(-5614\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 86217.5 millennia?\nAnswer: 1034610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -100\/99. Let y = -23\/99 + n. Let r = 4 + 0. Which is the closest to y? (a) 1\/5 (b) 3\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 55a36 + -2?\nAnswer: 55a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/1195 and 52\/1195.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o + 82. Calculate the remainder when q(0) is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 + 2826*w**3 - 1251*w**3 - 1278*w**3 + (-w - w + w)*(6*w**3 - w**3 - 4*w**3).\nAnswer: w**4 + 297*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000256494 rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -888195*n*q**2 - 7107395*n + 2*q**3 wrt q?\nAnswer: -1776390*n*q + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5687.438ml to litres.\nAnswer: 5.687438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxeet. What is prob of sequence xeet?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10701477 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p**2 + 237*p - 1915. Determine h(8).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 8*i - 8. Let k(g) = g + 1. Let l(f) = 5*a(f) + 40*k(f). Let r(n) be the second derivative of 7*n**3\/6 + 3*n + 4. What is l(r(x))?\nAnswer: 245*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-9)*c*c**11*c**(1\/8)\/c**8 assuming c is positive.\nAnswer: c**(113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 4*c**2 - 2*c - 2. Let y be i(-4). Let t be -2 - -52 - (-2 + y). Calculate the greatest common divisor of t and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 0.4, -2, 4\/461, -4, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 4*u + 1740, 0 = 2*p + 2*p + 3*u - 1392. What are the prime factors of p?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**8*d))\/d*d)\/((d*d**(-13)*d)\/d))\/(d**(-3)\/d**0) assuming d is positive.\nAnswer: d**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5448490429\/15436499 - -1\/2374846. Let l = 7888 + -8241. Let t = q + l. Find the common denominator of -11\/14 and t.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3*(-1 - 2). Is f >= -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpswbpbssbsbssbwbpb. What is prob of sequence ssp?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 1:47 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83282997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14760334 is divided by 882?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**5 + 4*x**3 + 0*x**4 + 2*x**4 + 2*x**2 + 3*x - x**4. Let m(g) = g**5 + g**3 + g**2 + g. Let n(k) = -f(k) + 3*m(k). Factor n(v).\nAnswer: v**2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218176581 is divided by 160542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 9*y - 6. Determine i(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(648)*2 + sqrt(8)) + ((sqrt(153) - sqrt(153)*-1)*5)\/sqrt(9).\nAnswer: 191*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 + 4 + 6*q**3 + q**4 + 13*q**3 + q**2 as y + c*q**3 + r*q**4 + h*q**2 + b*q and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(f + 3*f - 5*f)*(1 + 0 - 12)*(2*f + 3*f - 4*f + 1 - 1 + 2*f + 3 - 3 + 2*f + (0 + 2*f + 0)*(-2 + 4 - 1) + 0*f - f + 3*f - 3*f + 0*f + f).\nAnswer: 154*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-24) + 418\/12. Suppose x = n + 4*y, 4*n - 5*y - 34 = 3*n. Suppose -35*f = -n*f + 3. Let a(v) = -v**3 - v**2 + v - 4. What is a(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) 8 (c) -261\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a factor of 1138086538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 5:45 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 32*i**2 + 22 - 12 + 52.\nAnswer: 32*i**2 + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -30206?\nAnswer: 30202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 + 7810700*k\/7 - 1115814.\nAnswer: -2*(k - 3905349)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10910 (base 15) in base 14?\nAnswer: -1529b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 745 and 1937.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 76 = -3*z - z, -5*w + 5*z = -120. Solve 4*p - 8 = 4*k - 36, 0 = 5*k - w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 11 = -3*q, q + 24 = -3*q - 4*g. Let w be (-6)\/(-15) - 478\/q. Suppose -5*h = -h - w. Solve 2*v = 2*d, -h = d + 5*v - 0*v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 + 112*y**3 + 1452*y**2 - 3248*y + 1682.\nAnswer: 2*(y - 1)**2*(y + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58383 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.357 times -6\nAnswer: -2.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 862.\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5567 + -0.1433. Let z = 0 - 2. Sort -2\/13, f, z.\nAnswer: z, f, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37067 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m. Let u be q(-1). Let k be 10\/3*(0 + u). Let s = k - 3. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-121)*3*(-16)\/60?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 6*z - 4*z + (3 + 1 - 3)*(0 - z + 0) + 3*z - 6*z + 2*z + 0 + 0 + 2*z)*(z**4 + 0*z**4 + z**4).\nAnswer: -22*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -17*t + 47. Let s(x) = -26*x + 74. Let j(g) = -8*i(g) + 5*s(g). Let q(d) = -d + 1. Let w = 15 + -20. What is w*q(f) - j(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsmkksk. Give prob of picking 1 s, 1 w, and 1 k.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10 - (-74)\/60?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/7839988 and 69\/15679976?\nAnswer: 15679976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - 45*b - 5. Let i(k) = 6*k**2 + 136*k + 16. Calculate 16*h(x) + 5*i(x).\nAnswer: -2*x**2 - 40*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-4 + 0 + 7 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**3 + u - 2. Let o(l) = 5*l**3 - l + 3. Suppose 5*w - 3*w = 10. Let f be (-22 - 176\/(-8))\/6. Let c be 1 + 1 + f\/w. Determine c*o(a) + 3*z(a).\nAnswer: -2*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, -0.2, -0.3, -0.1, 2\/13 in increasing order.\nAnswer: -61, -0.3, -0.2, -0.1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 7*f**2 + 7*f + 6. Let v be p(-6). Let w be v\/(3\/9*3). Differentiate -a**4 + w - 1 + 0*a**4 wrt a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1610*k + 1663*k = -1749 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6274?\nAnswer: 2, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 20*l + 5. Let q be l\/2 - 75\/(-190). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and 1.4?\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 791254733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 6:14 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 - 2*k + 1. Let v be c(1). Let j be v\/(-1) - 63\/(-1). Calculate the greatest common factor of 33 and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0132 + -0.2732. Which is the closest to -1? (a) 1 (b) 3 (c) g (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1650, -1645, -1638, -1629, -1618?\n\"Answer: a**2 + 2*a - 1653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 32*t - 1 + 4 as u*t + q and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/8)\/((-4)\/16*1). Let y(s) be the first derivative of -s**2\/2 - 3*s + 1. Let h be y(j). Which is smaller: h or 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 5*r**3 - 1 - 3*r**3 - r**3. Let w = -145 - -142. Give p(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -373 divided by -3667\nAnswer: 373\/3667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*v + 1471, 0 = 3*l - 5*v - 1343 - 816. Calculate the greatest common factor of 637 and l.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 1\/12, -26?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - ((-23 - -42) + 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 6. What is the second derivative of -3*m - 8*m - m**2 + m**2 + 11*m**j wrt m?\nAnswer: 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23093 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5 + 28*x**4 - 14*x**3 - 208*x**2 - 168*x = 0. Calculate x.\nAnswer: -14, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154)\/(-154) - 3*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 25878*t - 513. Let z(m) = 353*m - 7. Let j(b) = 7*v(b) - 513*z(b). Let g(h) = -h**2 + 2*h**2 - 4*h**2. Determine j(g(c)).\nAnswer: -171*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38532, -77066, -115600?\nAnswer: -154134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 19 - 26. Solve -u + 4 - d = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49017 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -99. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*u + 65482, 22381 + 16907 = 3*t + 2*u. What are the prime factors of t?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*q - 3 = 0, -64*q + 9 = 3*m - 59*q. Let n(y) be the second derivative of 0 + 9*y + 1\/12*y**4 + 5\/2*y**2 - y**m. What is n(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -10. Let h(n) = n**3 + 9*n**2 + 8*n + 1. Let u be h(o). Let z(r) be the first derivative of 2*r**2 + r - 1. Determine z(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -88*n**4 - n + 169 wrt n.\nAnswer: -352*n**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16463301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 + 13 + 2 + 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1744462, -1744461, -1744458, -1744453, -1744446, -1744437, -1744426?\n\"Answer: m**2 - 2*m - 1744461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwiiwwwiwwwwii. What is prob of sequence wwiw?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -72, 21682 in descending order.\nAnswer: 21682, -19, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 535329 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - 589. Let s = -120 - k. Let i = s - 515.802. What is i rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 7*q**2 + 3*q + 10. Calculate a(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 5:05 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 8 = -2*t, 3*t - 10 = -2*z + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*a**2*v**4 + 3*a**2*v**2 + 2*a**2*v - a*v - 46*a wrt v?\nAnswer: 180*a**2*v**2 + 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 178?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*g**3*l**3*n + 2*g**3*l**3 + 2*g**2*l**2*n - 2*g**2 - 2*g*l**3 - l**3 wrt g.\nAnswer: -408*l**3*n + 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 3*w - 3 + 2 - 1. Calculate the remainder when 2 is divided by t(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50285 and 55180.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 149b75?\nAnswer: -149b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-298)\/(-2533) - (-37147818)\/34 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 15*y - 97. Solve -2*l - 6 = 0, -20 = -2*k + y*l - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -128*g + 4. Let b(j) = -383*j + 11. Give -6*b(a) + 17*k(a).\nAnswer: 122*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.82361 minutes in microseconds?\nAnswer: 589416600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 5*r + 49 = 0, 0 = -3*f - 94*r + 99*r - 33 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 114*z**5 + 9*z - 4 wrt z?\nAnswer: 2280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5 - -8) + (-301)\/105)*2\/(-4)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 339767 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 4230224?\nAnswer: 4230234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = -3*q. Let y be 2*q\/4 + 5. Suppose 4*u = h - y, -2*h = 6*u - u - 21. What is the greatest common divisor of 40 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 14*h**3 - 2*h**2 + 2*h - 1. Calculate the remainder when i(1) is divided by (-10)\/(-4)*4 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(-3 + -1 + sqrt(208) + sqrt(208))**2.\nAnswer: -1697 + 128*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 142\/120 - 1 - (1537\/348)\/53?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 618 and 58607.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*z + 138. Suppose 4*m - 39 = 3*y + 2*y, 4*y + 12 = 0. Suppose -m*d + z = -3*d. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 37588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74432451 to the power of 1\/2, to the nearest integer?\nAnswer: 8627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0617281 grams in nanograms?\nAnswer: 61728100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -358767010*0.5\nAnswer: -179383505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -543 - -1364. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 233520*y**4 - 120811 wrt y.\nAnswer: 934080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/(-5))\/(154\/3465) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(4)\/sqrt(2)*4 - (4 + sqrt(20)\/sqrt(90)).\nAnswer: -3 + 11*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 14. Let l be z(6). Suppose 0 = -2*f + 4, 2*u = -3*f + 4*f + l. Let h = 347 + -325. What is the smallest common multiple of u and h?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*t - 94*t = 5*p - 42*t - 15, -5*p = -5*t - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4082*j - 7729. Is c(21) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/7*-4*49\/56?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4330, 4326, 4314, 4288, 4242, 4170, 4066?\nAnswer: 3924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 17. Let k be 15 - -4*6\/(-8). Let d be l(k). Suppose -6 = d*i - 1. Is i > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (3 - 2 - 9). Let b be (18\/4)\/(v\/(-90)). Let g = b + -38. Round g to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*-2.694\nAnswer: -0.02694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 574289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1308*f + 1433*f + 1397*f + 1324*f - 284*f)*(-2 + 3 - 4).\nAnswer: -15534*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (0 + -1))\/(66\/(-9)). Let d be (-116)\/440*-1*1. Let r = d + v. Which is the third biggest value? (a) 5 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18884263111\/20 - 943715343. Let r = 498057 - w. Let s = r - 1213\/5. Find the common denominator of s and 69\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8 - c + 3*c + 5 + 0*c. Let g be r(-8). Let x be (4 + g)*1 - (0 - -1). Is x smaller than 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l - 5. Calculate f(17).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(1\/2))*f*f*((f\/(f**(-1)*f))\/f)\/f*f*(f**1)**(-12))**30 assuming f is positive.\nAnswer: f**(-315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x - 16. Let s be o(-5). Let a = s - -220. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 4.\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3404\/5471?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*-1*(220\/(-132))\/((-5)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 4 - 4)*(-91*h**2 + 35*h**2 - 56*h**2) - 2*h**3 - 2*h + 2*h to p*h**2 + l*h**3 + b*h + a and give l.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -24.9189\nAnswer: 12.45945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.2 + -1.7. Let q = -134.1559 - -0.0559. Let l = q - -134. What is the closest to l in i, 0, 1\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 39*i + 336. Determine j(29).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 + 96.731. Let x = 3340 + -3339.814. Let a = u + x. Round a to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19260463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 + 0 + (72 - -39)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/28)\/((-36)\/(-14)) - (-24257)\/1524\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -0.1, 16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -13*f - 31*f + 5 - 5 + 45*f. Let v be ((-3)\/9)\/(2 - 62\/30). Let b(w) = 2*w - 2. Calculate v*o(d) - b(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 + p**4 - 4*p**2 + (-3*p + 0*p + p)*(-p**3 + 4*p**2 - 4*p**2) + 20820 - 20820 - 2935*p**4 to f*p**4 + u + z*p**3 + v*p**2 + h*p and give f.\nAnswer: -2932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91 - 6*p + 91)*(-p**3 + p**3 + 2*p**4 + (-1 + 1 + 2*p**3)*(2*p + 0 + 0)).\nAnswer: -36*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 8*k + 26. Let t be b(10). What is the greatest common divisor of 34 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, m: 6, b: 5, u: 1}. What is prob of sequence nb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-4))\/(1755\/(-2340)))\/((-1)\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43807939 - 645.\nAnswer: -43808584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdur when four letters picked without replacement from qduwwwdqurwdqq.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13885 (base 11) to base 4\nAnswer: -10303233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/4))**(4\/7)*((o\/o**0)\/o)**(4\/5) assuming o is positive.\nAnswer: o**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, -0.182, 3, -4, -0.5, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 - 17*g**2 - 16*g + 68. Let c be w(9). Suppose 368 + 1526 = 3*y + 4*v, c*v - 1265 = -2*y. Is y a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 2, w: 2, p: 1, i: 1}. Give prob of sequence ip.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 34.05 times 1\nAnswer: 34.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*z + 16. Let r be ((z\/3)\/(-5))\/((-5)\/(-30)). Suppose -r*w - c + 853 = 230, -4*w + 3*c = -1251. Calculate the greatest common factor of w and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**3\/6 - a**2\/2 - a. What are the prime factors of k(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((22\/4)\/((-116)\/(-8) + -15))\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*h - 218, 3*h = 2*g - 168 + 517. Calculate the remainder when h is divided by 44.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 q when three letters picked without replacement from {k: 1, f: 2, z: 6, q: 4, p: 4}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 21*l**2 - 20*l - 38. Calculate the remainder when 17 is divided by n(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*6 + 3 + -6. Suppose 4*h - 11 = v*h. Let l = 7 + h. Solve 3*a = l - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 - 126*l**3 + 537*l**2 - 684*l + 276.\nAnswer: -3*(l - 2)*(l - 1)**2*(l + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 21800 = -5*z, 4*g - 3*z - 87242 = -4*z. Is g\/9 + (6\/(-9))\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + l - 35*l.\nAnswer: -34*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**3 + 2 - 5 - 3*h + h**2 + 3*h**3 + 4. Let b be s(-3). Suppose -2*t + b = -93. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 + 139 = 4*h. Calculate the greatest common factor of h and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:14 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21670493 and 481?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*m + 17*m - 1450 = 0. Suppose -2*y + 23070 = 2*s, -m = -0*y + 5*y. What is s rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s - 2 = -14*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 8:28 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 2744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/4)\/((-70)\/40). What is the second derivative of 28 - 2*f - 5*f - 62*f**2 - 62 - 44*f**m + 31 wrt f?\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 3:51 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b - 4*y = -1396, 1819*y - 1820*y = 2*b - 85 for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(11655\/(-74))*-15?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 72 = -w, -3*z - 3*w = -w - 46. Suppose -83 = -3*d - z. Solve -d = -5*u - 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 289*z + 13. Let y be k(1). Let u = -298 + y. Solve 2*j + 2*q - 3 + 1 = 0, -4*j + u*q = -36 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -511 + 10?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**6\/k)\/k)\/(k**(-3)*k)*k**6*k\/(k*k**(3\/4)))\/((k**(-2\/15)*k)\/(k*k*k**(-5)\/k)*k\/k**(-2\/23)*k**5) assuming k is positive.\nAnswer: k**(409\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**3\/2 + 70*x**2 + 103790*x - 2496720 = 0. What is x?\nAnswer: -202, 24, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7568535 is divided by 3580?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2 - 1 + g + 5. Let s be m(-6). Solve 5*y + c - 6*c + 5 = s, 0 = c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135032, 135035, 135040, 135047, 135056, 135067, 135080?\nAnswer: 135095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -922, -934, -976, -1066, -1222, -1462, -1804, -2266?\nAnswer: -2866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -695.9376 + -0.0624. Does -1\/2 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x + 12*x**2 + 0 - 1\/2*x**3 - 3\/8*x**4. What is the first derivative of h(z) wrt z?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 18. Determine r(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29, 44, 61, 80, 101?\n\"Answer: v**2 + 12*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 132 + -79. Let h = w + -18. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35673743 to the nearest one million.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 14529?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44)\/(-7) + 10\/(-35). Suppose 0 = 4*k + 3*x - 64, 0 = 2*k - 6*k - x + 56. What is the remainder when 16\/j*114\/8 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**2 - d + 36. Let o be u(-16). Suppose -9*b + o = -5*b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.149 - 0.049. Let x = 7 - p. Let z be 4\/(-22) - 30\/(-44). Which is the nearest to -2? (a) -4 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596352451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-4*1)\/((-38)\/(-19))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from piuaiaiajiia. Give prob of sequence pij.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -7) + -8 - (-1 + 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1274\/99 - -144\/11. Let j = 0.54 + -0.04. What is the nearest to 1\/2 in w, j, -19?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.515 - -255.485. Let j = 258.86 - z. Let a = 2.03 - j. What is a rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-72)\/54) + (4 - (-575)\/(-210)).\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17656317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*w + 1520 = -90*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 47343 = -48633. What is y rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 95 = -38. What is the remainder when 74 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -322*z + 17. Let s(y) = -2*y**2 + 6*y - 6. Let u be s(3). Is k(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4139173*n**3 - 4787955 wrt n.\nAnswer: 12417519*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 7*l + 205. Let n = -74 + l. Suppose -18*p + 17*p + n = 0. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) -2 (b) 1\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625995267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + 4 + ((sqrt(891)*1)**2 - -3*-4*sqrt(11)) + 4.\nAnswer: -12*sqrt(11) + 908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -1)*(-183243)\/(-102) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 + 356292232*y**3 + 1068876720*y**2 + 1068876728*y + 356292244.\nAnswer: -4*(y - 89073061)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022221 + -2210?\nAnswer: -2102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 767, 1531, 2295, 3059?\nAnswer: 3823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(13)*-2 + (sqrt(117)*3 - sqrt(117)) + -6*(sqrt(78)\/sqrt(6) + sqrt(13)) + sqrt(1300)*-4 + sqrt(1300)))**2.\nAnswer: 135252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-60)*(-16)\/6*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 2*f - 2882 = -2800, 4*h = -4*f - 164 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/((-5)\/(-2)) - -5. Suppose -n + t - 1 = 2*l, -4*l - n + 6 = 0. Which is the closest to l? (a) -0.5 (b) -0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1815 + 1819. Let r = 5.4 - -0.6. Put r, y, 3\/8 in increasing order.\nAnswer: 3\/8, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(13\/5))**(-5\/16)\/(f*f**10)**(-5\/9))**(2\/23) assuming f is positive.\nAnswer: f**(119\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 24*c**2 - 2*c + 2. Let b(w) = 10*w - 1. Let u(v) = -1441*v**2 + 781*v - 187. Let k(t) = -66*b(t) + u(t). What is -2*k(p) - 121*o(p)?\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -890151 + 3301568. Let d = -4211417 + l. Round d to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 2*h = -23*r + 23, -2*r - 3*h + 18 = 0. Solve 5*j - 14 = k, -2 = -3*j + r*k + 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52\/159 in 5, 3, -24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -11*x**2. Let n = 68 - 73. Let l(z) = 6*z - 6. Let s(u) = -6*u + 5. Let w(g) = n*l(g) - 6*s(g). Give w(o(d)).\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-135)\/(-15) + 119\/(-21))\/(3\/1638) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -117, 4, -12, 3 in increasing order.\nAnswer: -117, -12, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -1 + -1)*0. Suppose -2*g + 10 - 2 = c. What is the lowest common multiple of 14 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 7:08 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580278372.\nAnswer: 2, 3, 4349, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 378.8649 kilograms to tonnes.\nAnswer: 0.3788649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 0 - (-5)\/5. Suppose -c*h - 418 = -438. Solve 2*k - 23 = h*w, -w = -0*w - k + 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 575898685 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and 0.015.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6350 + -6321. What is the remainder when 174 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 + 2 - 2)*(-4 + 3 + 3) + (3 + 2 - 3)*(2*a**3 + 3*a**2 - 3*a**2) - 2*a**3 + 4*a**3 - a**3 + 127468*a + 1 - 196*a**3 - 127468*a.\nAnswer: -197*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 2*x - 21. Let c = -19 - x. Solve -c = 3*i + i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.14246*0.006\nAnswer: 0.02485476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1 - 3 - 3 - 2*z + 1. Let f be c(-4). Solve -12 = f*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - q + 61 = 2*f, -f - 5*q = -17. Suppose 4*o - o = -f. Let l(m) = 79999*m - 4. Let t be l(o). Round t to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + k**2 - k - 1. Let v(d) = -4*d**3 + 4*d**2 - 3*d - 3. Let z be 3\/(1*(-3)\/(-2)). Let u(p) = z*v(p) - 6*r(p). Factor u(o).\nAnswer: -2*o**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4190*-0.4109\nAnswer: 1721.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536*a - 572*a + 33*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820496 to the power of 1\/2, to the nearest integer?\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045836501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 3) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3592.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93\/10 + -13\/15. Find the common denominator of 1\/24*(-596)\/6 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -153 and -198 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**2 + r - 2*r**2 + 4 + 0*r - r**3. Let a be c(5). Calculate the greatest common divisor of 99 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714824605 a multiple of 708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -10, 55, 102, 119, 94?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*b = 1103, -5*k + 1218 = -b - 197. Let z = -59 + 56. What is the common denominator of z + (-1 - k\/(-40)) and 35\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**3 - 29 - 25 - 274 - 2*y**3 - 74 in the form q*y**2 + s*y**3 + m*y + l and give l.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 5\/25*95. What is the tens digit of ((-3802)\/p - (-2)\/(-6))*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71559196*w**3 + 286324*w**2 + 123*w.\nAnswer: -429355176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -25. Suppose m - 2 = u. Let l be m\/(-5) - 14\/(-10). Which is the second smallest value? (a) -2\/13 (b) l (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4)*(270 + -140). What is the nearest to 1 in u, 3, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*h**2 + 2*h**2 + 2*h**2 - 3*h**2 to the form p*h + i + k*h**2 and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, -381, 7, -20, 3\/5 in descending order.\nAnswer: 7, 3, 3\/5, 0.1, -20, -381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68.19 + -67.19. Which is the third biggest value? (a) 2\/25 (b) -8 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 8. Find the third derivative of 221*b**2 + 2*b**4 - p*b**4 - 190*b**2 wrt b.\nAnswer: -312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62949239*h**3 + 19*h**2 - 145256*h - 2 wrt h?\nAnswer: -377695434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.92 - -0.02. Let m = 0.8 + z. Let x = 0.098 + 0.202. Which is the third smallest value? (a) 0.2 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22966262 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 10*z**2 + 0*z + 2\/3*z**4 + 1\/15*z**5 + 2*z**3 + 0. Find x, given that b(x) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1\/9, -5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Suppose -v*s + 2 = -16. Suppose r - s - 4 = 0. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3236765 >= -3236765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -3, 11\/4 in decreasing order.\nAnswer: 11\/4, 2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5}. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 24. Calculate k(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -489, -1011, -1533?\nAnswer: -2055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -16) + (-1 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54984 and 3016.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -497\/8745 + -1\/265. Are 0 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, 6459 in increasing order.\nAnswer: 3, 11, 6459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 40, -33, -3, -6, 2, 0.\nAnswer: -33, -6, -3, 0, 1, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142384*s**2 - 46272*s - 2?\nAnswer: 284768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16571705 and 4709853?\nAnswer: 447436035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/60 + 72*v**2. Let s = 20 - 18. Let j(c) = 5 + s*c + 2*c + 2*c - 4*c. Give i(j(m)).\nAnswer: 4*m**2 + 20*m + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44942\/11 - 4083. Find the common denominator of o and (47\/9)\/(0 + 1).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 80953794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -58 (b) 0 (c) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 2:13 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131987417 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -899, 3\/5, 67, 0.01?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 5*i - 21425 = 18*a, -4*a + 17136 = -2*i. What is the remainder when a is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * 7.91.\nAnswer: 0.0791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*i + 5, 3*i + 5 = -10. Let h(n) = 1. Let q(x) = -x**2 + 8. Calculate f*h(j) + q(j).\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -23*p**2 + 699*p - 252. Give a(30).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2*sqrt(4032) - sqrt(4032) - sqrt(4032))*3)\/(sqrt(81)\/(sqrt(45)\/(sqrt(5)*-3 + sqrt(5)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 14*1\/3*6?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 13\/841?\nAnswer: 13\/841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4213 + -341?\nAnswer: -10104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5765864.\nAnswer: 2, 13, 55441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 25*k - 24*k - 3*k + 12*k**3.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/(-15))\/(8\/6))\/(-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i - 4*i)*(-3 - 2 + 3 - i).\nAnswer: 4*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**3\/6 - 2*s**2 + 10*s + 2. Suppose 9*q - 35 = 10. Give w(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 12306.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6*w - 9. Is w <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 18 + v - 8 in the form l + t*v and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1126 + -1004. What is the remainder when l is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/((((n\/(n\/((n\/((n\/(n*n**1))\/n))\/n)))\/n)\/n)\/n)*n*n)\/n*n))**(-40) assuming n is positive.\nAnswer: n**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 - 4*s + 2. Let j be p(2). Suppose 0 = 2*r - v - 5, -6*v - j = -r - 2*v. Solve 0 = -5*u + 2*n + 21, -4*n + 3 = 7*u - r*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274, -275, -278, -283?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26657.14 decades to years.\nAnswer: 266571.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.2 - -0.2. Let s = -8 - p. Let o = s - -6. What is the nearest to 2 in -2\/17, o, -1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 6*p**3 - 5 + 11595*p - 23194*p + 3 + 11595*p - 6*p**4 as f*p + q*p**4 + g*p**2 + y + l*p**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2 + 626*n + 37960 = 0.\nAnswer: -52, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o**2 + 2*o + 25*o**3 - 24*o**3 - 13*o**2 - 11. Calculate the remainder when f(18) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/11 - 248*s\/11 + 1190\/11.\nAnswer: 2*(s - 119)*(s - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**(-1\/3)\/u))**12\/(u**(-1\/3)\/u**(-14)) assuming u is positive.\nAnswer: u**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -1)\/(1\/5) + -9 + 15. Put 5, 3, -19, b, -1 in ascending order.\nAnswer: -19, -1, b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 559677 and 394.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -293726, -587471, -881216, -1174961, -1468706?\n\"Answer: -293745*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.6 and -7.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 8*l**2 + 9*l - 10. Suppose 43 - 8 = 5*s. Let b be r(s). What is the third derivative of y**2 - b*y**3 - 3*y**2 + y**2 wrt y?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*p - 28 = 0, -3*a - 18 = 5*p + 13. Let l be 5 + -5 + (0 - a). Suppose 0 = l*v - 4*z + 4, -2*v + 3*z - 1 = -0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - g**2 - 2*g**2 + g**2)*(5*g - g - 4 - 3*g).\nAnswer: -2*g**3 + 8*g**2 + 2*g - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -89\/3 at least as big as -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 0 - 5) + 8. Suppose -3*g = -4*s + 4990, -3753 = -3*s + 3*g - t*g. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 3, 1\/229, 1, 43, 0 in descending order.\nAnswer: 43, 3, 1, 2\/3, 1\/229, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3148867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5819*c - 2440 - 3417*c + 2440.\nAnswer: -9236*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w = 12*w - 111 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/m**2)\/m)\/(m*m**(-2)))**24*(m**(1\/2)\/m*m)**(6\/13)*m**(-1\/8)\/m**(2\/23) assuming m is positive.\nAnswer: m**(45\/2392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 12*o - 43. Let h be c(4). Solve h*g + 5*m = m - 2, -3*g + m = 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + 0*p - 3*p)*(-2 + 3 + 0)*(-4*p**2 - 2*p**2 + 1 + 2*p**2) to q + j*p**2 + b*p + m*p**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 0 - 4 - 10699*w**3 - w**4 - 3*w + 10700*w**3 - 9*w to h*w + u*w**2 + y + d*w**4 + q*w**3 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00125876 to five decimal places.\nAnswer: 0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d. Let c(i) be the third derivative of -i**5\/30 - 10*i**3\/3 - 441*i**2. Give n(c(b)).\nAnswer: 16*b**2 + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3263 and -107\/1378?\nAnswer: 345878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -210245 (base 6) in base 3?\nAnswer: -212020202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2343 is divided by 293?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24807459 divided by -152193\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, q: 7}. Give prob of sequence qqq.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 + 3*v**3 - 24*v**3 + 10*v**3 + 2*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 9. Let l be t(-12). Let n(f) = f**2 - 5*f - 1. Let v be n(4). Sort v, l, -4 in descending order.\nAnswer: l, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1\/4, 1\/4, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*m**2 + m**4 + 11*m**2)*(3*m - 5*m - m) - 89*m**5 + 91*m**5 + 0 - 2 - 3*m**4.\nAnswer: -m**5 - 3*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 1\/2*g**3 + 0*g**2 - 1\/4*g**4 + 4*g + 0 - 1\/540*g**6 + 1\/30*g**5. Let l(p) be the second derivative of z(p). Factor l(a).\nAnswer: -2*(a - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 526\/9, -4\/19, -0.2?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758094 less than -0.37?\nAnswer: -1758094.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5703?\nAnswer: 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 59*r - 62*r - 2, 4*r + 2*a = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -246, -250, -264, -294, -346, -426, -540?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -0.074 (c) 25 (d) 16 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775688412?\nAnswer: 2, 3, 4729, 13669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 0.5, 6, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1612*i + 1120 = 1668*i for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*h**4*v**3 - 13*h**2*v**2 + 2*h*v**3 + 2*v**3 - 26*v wrt h?\nAnswer: 60*h**2*v**3 - 26*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m + 11. Let z = -91 + 87. Let a be v(z). Let u be 4\/(-8) + a\/10. Solve -u*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 10\/6)*6*-6. Let l = a - -59. Let q(g) = 122*g**3 - 2*g**2 + g. Let y be q(1). What is the highest common factor of l and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/81 + 334\/405. Is 2 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14008797, -56035221, -126079261, -224140917?\n\"Answer: -14008808*k**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -86*i + 41*i + 42*i. Suppose 0 = j - 2*c + 14 - 6, 0 = -4*c + 20. Let v(u) = -5*u**2 + j*u**2 + 4*u**2. Determine d(v(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**6\/240 + u**5\/120 - 7*u**4\/12 + 11*u. Let o(m) be the third derivative of h(m). What is o(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2 + (-1 + 2 + 0)*(-3 - 3 + 4) + 2 - 6 + 3)*(129 - 343 - 154)*(v - 2*v + 4*v).\nAnswer: 2208*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1. Let w(j) be the third derivative of j**5\/30 - j**3 - 4*j**2. Suppose -26*r - 144 = 10*r. What is r*a(d) + w(d)?\nAnswer: 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 u, and 1 w when four letters picked without replacement from {w: 5, b: 5, u: 2}?\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 21.795\nAnswer: -2.1795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -653, -5, -11, -33 in ascending order.\nAnswer: -653, -33, -11, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -156 - -46. Find the common denominator of -55\/4 and (-12)\/(-3*1 + z\/(-40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -9 + 36 - -3 - 16 - (1 + -30)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -11*o + 1. Let l be y(-7). Find the third derivative of -27*c**4 + l*c**4 + 6*c**2 - 84*c**2 wrt c.\nAnswer: 1224*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1079 (b) -3 (c) -1\/3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -275 + 0?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.048 or -9411?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -284 - -248. Let o be (-60)\/9*-1*(-27)\/u. Suppose 0 = 3*p, -4*p = 2*c + 2 - 32. Solve -2*t = o*i - 3*t + c, 0 = -5*t + 25 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1269 divided by -423?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 17*v + 17. Let k be l(18). What is the first derivative of -k - b**2 + 10*b + 152 - 11 + 94 wrt b?\nAnswer: -2*b + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 185*d**5 - 536510*d**4 + 395376220*d**3 - 9279214120*d**2 + 55587788160*d - 2977695360 = 0.\nAnswer: 2\/37, 12, 1438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 + 272*v**2 - 2854*v + 9675. What is d(-146)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2*c**3 - 5117832071*c - 4 - 2 + 5117832071*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0. Let o(r) = r + c*r + r. Let b(j) = 215*j**2 - 106*j**2 - 110*j**2. Give o(b(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2955 - -2984. What is the remainder when o is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1200 * 10\nAnswer: -12000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 22.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 5*f**4 + 15)*(-168 - 65 + 21) to c*f**2 + n + g*f + r*f**4 + s*f**3 and give r.\nAnswer: 1060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2633, -5161, -7689, -10217?\nAnswer: -12745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383692005?\nAnswer: 3, 5, 257, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-6))\/((-2)\/(-6)))\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l + 27. What is the tens digit of a(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000797555 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 6\/4)\/(3\/(-330)). Let a = 59 - t. Solve 2 = -a*x - 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 23*x. Let w(h) = 461*h - 229*h - 234*h. Calculate q(w(a)).\nAnswer: -46*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 420 + 2214142002?\nAnswer: 2214142422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**2 - 3*v. Let a be (9 - 4)*(1 - 2). Suppose -3*t = -46 + 40. Let q(k) = -2*k**2 + k**t + 23*k - 22*k. What is a*q(y) - m(y)?\nAnswer: -y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 645 + -448. Suppose 0 = 3*j + 2*t - 7, 2*t + 28 = 2*j + 2*j. Suppose -j*k + 38 + s = 0. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0 + 0)*(3*o + o**2 - 3*o) + (0*o - 2*o + 4*o)*(-9*o + 3*o**2 + 9*o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73984871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2063*c*j**2 + 252*c + 32*j**2 - 50*j wrt j?\nAnswer: -4126*c + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18225396 and 249080412?\nAnswer: 747241236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 57\/2. Let x = -2\/331 + 361\/4965. Is j >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 13*o**4\/24 - 7*o**2. Let g(b) = -3*b. Determine -9*g(k) - 2*j(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*q + 14*q - 3*o - 9, 2*o - 8 = 0. What is the lowest common multiple of 10 and q?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15+-4337183\nAnswer: -4337168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 537 and 15931.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/158079 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 15*z**2 + 55*z + 29. Determine x(-11).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1003752 from -0.02.\nAnswer: -1003752.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -18\/7 (b) 4 (c) 0.183 (d) -4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 0*r**2 - 72*r - 2 + 76*r + 4 + 20*r**2. What is the units digit of j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 z when three letters picked without replacement from {z: 4, u: 3, v: 9}.\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 0)*(-68463)\/(-6)*1522. Let x = l - 5566781. Round x to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -3. Let g(l) = -l**3 - 5*l**2 - 4. Let d be g(y). Sort d, -2, 1 in ascending order.\nAnswer: d, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + ((-5 + -3 + sqrt(704) + 5)*1 + 4)*2)**2.\nAnswer: 128*sqrt(11) + 2832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcvczkwszsvssvvzvv. What is prob of sequence cszw?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24187e (base 15) to base 5.\nAnswer: 420222134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 147892324 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2820.0684 months to millennia.\nAnswer: 0.2350057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 100741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/44781 and 76\/44781.\nAnswer: 44781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2. Let i(z) = 217993210*z**2. Give i(o(y)).\nAnswer: 5449830250*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m - 2. Let q(p) = -p + 1. Let b(l) = l**2 + l + 7. Let z(h) = -b(h) + 5*q(h). Let y be z(-3). What is the units digit of v(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = 0, -2*c = 3*b - 625 - 63. What is the highest common factor of b and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1543015744 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 22 = -4*g + 100, 4*g - 73 = 3*s. Calculate the remainder when 90 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*294103\nAnswer: 588206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -117*p + 387*p + 7830 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4269460 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(170) + sqrt(170)*5)*-1)\/(-6*sqrt(70)\/(sqrt(21)\/sqrt(3))).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*t + 3*t. Suppose -3*q + 4*q + t = 5*x, 5*q = 10. What is the smallest common multiple of x and -2 - -2 - (-3 + 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 242434*r**4 - r**2 + r + 512982.\nAnswer: 969736*r**3 - 2*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 3:27 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484 is divided by 89.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 5. Let w be t(6). Let u = -0.6 + -1.4. Let s = u - -2.4. Put w, -0.2, s in descending order.\nAnswer: w, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1019 + -342. Let p = -654 + q. Solve -5*m = -0*v - v - 5, m - 5*v + p = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 302*y**2 + 48*y + 346. Let k be r(-11). What is k rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002120011 (base 3) to base 11.\nAnswer: 28a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25776?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23036431 (base 7) in base 2?\nAnswer: 111101010100110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 7. Let n = d + 13. What is the third biggest value in 0.4, 11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (0 - 207322\/(-9)) + -21*32\/(-3024)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*x**2 + 98*x**3 - 21*x**2 - 1 + 2*x**2 + 42*x**2 to s*x**2 + g*x**3 + t + q*x and give g.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**2 - 279073*l + 1953462 = 0.\nAnswer: 7, 279066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/5 - -28\/15. Which is the biggest value? (a) 1\/6 (b) 0.5 (c) n (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26272 = -124*b + 34704 for b.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17617 and 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let w = -24 + 4. Let z be (-4)\/(-6) - w\/(-24). Do n and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2077, 4161, 6245, 8329?\nAnswer: 10413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {j: 6, y: 13}.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 10 + 22 - 37 - 3*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 219 and 1997499.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 28 = -2*v + 4*r, 18 = 2*v - 3*r. Factor 0*t + 0 - 9\/5*t**4 - 3\/5*t**2 + 3\/5*t**5 + 9\/5*t**v.\nAnswer: 3*t**2*(t - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 211?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 174, -1\/9, 0.5, -1\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55442 is divided by 46?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7923?\nAnswer: 3, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/21 and -37\/5287?\nAnswer: 111027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/350)\/((-216)\/378))\/(348\/(-290))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12678237 to the nearest integer?\nAnswer: 3561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 + 10*n**2 - 3*n + 6. Let y be i(4). Let w = 31 - y. Suppose -w*r + 0 + 25 = 0. Solve -4*x - x = -r*p + 20, 5*p = 3*x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1669 is divided by 159?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/13, -1\/8, 2\/5.\nAnswer: -2\/13, -1\/8, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/94 and 53\/8.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32604 and 37073712.\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 16 = 3*d + 1, 5*d - 3 = 3*q. Let k be 9\/q - 39\/(-24). Which is the second smallest value? (a) 3 (b) 2\/11 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -735, -734, -733?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-66 + 59) - 19?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -115231, -115259, -115301, -115363, -115451, -115571, -115729, -115931?\n\"Answer: -u**3 - u**2 - 18*u - 115211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - -2. Let h = -16.5 + q. Which is the biggest value? (a) 4 (b) h (c) -0.3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25234841 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 + 0.22. Let o = -3.2133 - -3.1133. Which is the closest to o? (a) 0 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**4*u + 105*n**4 - 2*n**3*u - n**3 - n**2*u + n**2 + 7137*n*u wrt n?\nAnswer: -72*n*u + 2520*n - 12*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 172*t**2 + 5077*t + 2169. Determine q(134).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*-1*-4)\/(sqrt(200) + (sqrt(200) - 3*sqrt(200)*-1) + sqrt(200)).\nAnswer: 4*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 34*q + 672*q + 406*q. Let j(w) = -2*w. Give j(v(h)).\nAnswer: -2224*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1439\/14 + -492\/7. Let c = q - 30. Is 2 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jllllljljll.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/89)*r)\/r**(1\/13))**(-3))**27 assuming r is positive.\nAnswer: r**(-84402\/1157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109116, 109119, 109122?\nAnswer: 109125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 28 = m, 2*o - 13 = -m - 3*o. Suppose 5*a - 323 = -m. Calculate the remainder when a is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/99560 and 107\/2628384.\nAnswer: 13141920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i. Let p(t) be the second derivative of -t**5\/30 - t**2 + t. Let k(c) be the first derivative of p(c). Calculate y(k(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**2\/2 + 4*j + 3. Let h be m(3). Let i be 6\/(-99)*3 - 400\/(-5104). Which is smaller: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k + k)*(9*k - 3*k + 2*k**3 - 3*k**3).\nAnswer: -k**4 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 7. Let f(u) = 2*u**2 - 4*u - 35. Let o be f(5). Sort o, 0, l, 8 in descending order.\nAnswer: 8, 0, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2.95. Let u = 0.15 - s. Let i = -0.100008 + u. What is i rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44385670 and 6?\nAnswer: 133157010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3045603 is divided by 217.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 54*b**2 + 23*b - 272. Is 27 a factor of z(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2da85 (base 14) to base 7\nAnswer: -655025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {x: 1, m: 1, v: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.266987987 to 4 decimal places.\nAnswer: 0.267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14145 divided by 2829\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 0, 3*t + 2*u + 9 = -3*u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00205962745 rounded to 6 decimal places?\nAnswer: 0.00206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 40.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4525981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 379943488?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/1380 and 75\/13432.\nAnswer: 201480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 17299*j + 18. Is c(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 9*c**2 - 23*c - 8. Let k be v(-11). Solve t = k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12790.915*-0.08.\nAnswer: -1023.2732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*r - 70, 48 = 3*d + 3*r - 0*r. Let m(f) = -6*f + 94. Let n be m(d). Solve 0 = 3*t - 4*x + 28, -4*x = n*t + x - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-42)\/12 - 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1900, -7736, -17516, -31240, -48908, -70520?\nAnswer: -96076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/408 and 31\/24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a + 15. What are the prime factors of t(-21)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 4*l - 28760, 4*t - l - 14348 = 14407. Let j be 64624\/9 - (-4)\/6. Let z = t - j. Find the common denominator of 74\/21 and z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 2.11647.\nAnswer: 1.11647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439763370.\nAnswer: 2, 3, 5, 2837, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 344*j**2 - 54*j - 1525. Is r(43) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 10:07 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + 2*(sqrt(68) - (sqrt(68) + 3*1*sqrt(68))**2)*1)*-5.\nAnswer: -20*sqrt(17) + 10895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 65*u**2 + 8*u + 3. Let w be v(-3). Let i = w - 173. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 4. Let u be 1\/(-6) - (-45)\/108. Which is the biggest value? (a) u (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 6:26 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 10*h - 14*h. Let u = -118\/33 - -2128\/429. Find the common denominator of (120\/140)\/(h\/(-42)) and u.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -29. Is (14\/(-1))\/(2\/b) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 0 + 1\/3*v**4 + 2*v + 0*v**3 + 0*v**2. Let i(t) be the third derivative of t**5\/30 - 4*t**2. What is p(i(c))?\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + k - 1. Let l(i) = -2*i**4 - 9*i**3 - 10*i**2 + 3*i - 3. Let u(d) = 6*h(d) - 2*l(d). Find b such that u(b) = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 - 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -269 and 36.2?\nAnswer: 305.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + o - 359 = -4*z, 0 = -z + 5*o + 185. Does 20 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.964126 tonnes to micrograms.\nAnswer: 7964126000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 0.3, 767, -1041?\nAnswer: -1041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 12*x + 32. Let j be a(8). Suppose j = 7*d - 48 + 13. Solve -d*n = -n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -4*h - 30. Solve h*i + 0*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 9*w**2 + 10*w + 7. Let p be v(-7). Let d be (p + 0 + -3)\/2. Let x be ((-3)\/6)\/((-4)\/d). Solve 0 = -2*m - x*z - 4, -4*m - 5 = 2*z + z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1581.22582237 take away -0.3?\nAnswer: -1580.92582237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 768, 2\/3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 2*l**2 - l + (0*l - 3*l + 4*l)*(4 - 4 - l) + 0*l**2 + 3*l**2 - l**2 + 2*l**2 + 3*l - 3*l + 0*l**2 - 5*l**2 + 3*l**2 + 3*l - 2*l**2 - 3*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 818191 = -3*p + 2*p, -2*x = 6. Round p to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/5 - 2532267*n**2\/5 - 106872682761*n + 106873189215.\nAnswer: -3*(n - 1)*(n + 422045)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112.176 + 0.176. Let l = 111.882 + w. What is l rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 2*w**2 + 2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**6\/40 + i**5\/30 - 5*i**4\/8 + i**3\/3 - 3*i**2 + 704. Let x(y) = 7*y**3 - 5*y**2 + 31*y - 5. Give 5*l(g) + 2*x(g).\nAnswer: -g**3 - 13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 16*s**3\/3 - 9*s**2\/2 - 5*s. Is i(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 670 = -6*s + 3*s + t, 15 = -3*t. Let g = s + 367. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 0*p**2 + 2*p**2 - p**2. Let w be (-12)\/(-9)*(-18)\/(-4). Let x(m) = 4 - 4 + w*m. Give x(n(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 9:45 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 38 = -g. Let u = g - 42. Let r = u + 15. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 87568*t - 20. Let j be l(3). Let n = 1632684 - j. What is n rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 = 7*k + 51. Let h(x) = x**3 - 26*x**2 + 24*x + 30. Let o be h(k). Suppose 4*r = -5*s - r + 245, -4*s - o*r + 192 = 0. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047801?\nAnswer: 3, 233, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110 + 155. Let v = k + -41. What is the greatest common factor of 36 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p - 34. Let z be a(9). Suppose -3*n + 2*h = -5, -13 = -3*n + z*h - 4*h. Suppose -5*m + 6903 = 4*o, -m - n*m + 4*o = -5508. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 44?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 574142628 - 574143516.999098. Let y = -2205 + 1316. Let q = v - y. What is q rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - 2.0025956873?\nAnswer: -30.0025956873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121*b*o**4 + 526*b*o**3 + 2*b*o**2 + 4254*b + o**2 + 3*o wrt o?\nAnswer: -2904*b*o + 3156*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13 - -12)*8 + 10)\/(14\/231).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from bmzabzd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**4 - 38194*s**3 + 129582601*s**2 + 4489949294376*s + 13819508121411216 = 0.\nAnswer: -4899, 23996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 1 + (63 - 27) + -25.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ummmuuuuuu. What is prob of sequence umm?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -10 + (3620 - (6 + -18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*m + 2*q + 420 = -0*q, -2*m = -5*q + q for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1686665\/6 and 281112 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 2*v**2 + 1. Let b be y(-1). Suppose -4*k + 4 = -3*w + k, 4*w + 5*k = 18. Let i(r) = b - w*r - 1 + 8*r**3 - 3*r**2 - 7*r**3. Calculate i(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - -2) + (45 - -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 30. Let o be i(15). Suppose 0 = -5*f + y + 241, o = -f + 5*y + 26 + 3. What is the remainder when 116 is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21546 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23375\/90804 - 86\/987. What is the common denominator of n and 85\/24?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (67 + -66 - (1 - -3) - 6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1534 and 93\/25912328.\nAnswer: 25912328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 + -61. Solve 2*d + y = -0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13039*q**3 - 105*q - 217?\nAnswer: 78234*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 9*t + 9*t)*(2 + 2 - 1) to q + j*t and give j.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*d*g**3 - 914011*d - 1243*g**3 - 28*g + 41 wrt g.\nAnswer: 81*d*g**2 - 3729*g**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1819 and 23.\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (42*49\/6174)\/(2\/(-174))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4*(-90)\/(-21))\/(12\/462). Suppose 57*l = 24*l + w. What is the remainder when 50 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -8 - (-11 + 8 + 22).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 21 = 3*k, -4*k - 2*b + 37 = -15. Suppose 0 = -2*g + k - 5. Solve -7 = -4*a - g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*z**6 + z**5 + 27*z**3 - 130*z**2 - 3*z - 2.\nAnswer: -1080*z**3 + 60*z**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7052 rounded to 2 dps?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96.4 + 54.4. What is g rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 98, -5, 4, -18 in descending order.\nAnswer: 98, 5, 4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3248 is divided by 923?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(-20)*k**(-2\/5)*k**(2\/15))\/((k*k\/(k\/k**(-1))*k)\/k**(-5))**(2\/7) assuming k is positive.\nAnswer: k**(1892\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3\/4, 2.1, 5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -10*d - 3*b + 11179, -2*b - 4478 = -2*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4765 greater than 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 435576.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9*-3*4\/(1 - 37). Let y(h) be the first derivative of 0*h + 0*h**p + 0*h**4 + 1\/5*h**5 - 1\/2*h**2 - 4. What is the second derivative of y(s) wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1 = 3*t. Let f be (-13 - -6)\/(t\/25). Let w = f - -1573\/9. Is 1 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -213 - -235.6. Let j = 33.6 - f. Let n = 241\/5 - 48. Which is the smallest value? (a) n (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**2*j**4 + 2029*a**2*j**3 + a**2*j - 2*a**2 - 6*a*j + 408 wrt j?\nAnswer: 36*a**2*j**2 + 12174*a**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/(-25))\/(6\/135). Let c = q + 13. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/5 + 8*i**3\/5 - 4*i**2\/5 - 6*i\/5 + 4\/5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose 0 = -2*w - j - 2. Let u(v) be the first derivative of -v**4\/4 - v**3\/3 + v**2 + 3540. What is u(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2266 - -2238.75. What is p rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 10 = -2*j + 3*h, j = 5*h - 8. Let g be 4\/6*-9 + j. What are the prime factors of (94\/8)\/(g\/(-8) + -1)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -293, -278, -247, -194, -113, 2?\n\"Answer: i**3 + 2*i**2 + 2*i - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, t: 1, f: 1, i: 5}. Give prob of sequence tf.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31116 + 7*c + 31116.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.53733 to zero decimal places.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 4*j**3 + 201 + 2*j + j**2 - 202. Let c be o(1). Solve 4*h = 3*z + 16, 3*z - c + 12 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*m**2 - 12*m**2 - 33*m**2 + 21*m**2.\nAnswer: -56*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3257034 + -5?\nAnswer: -3257039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2. Let k(v) = v**2 + 22*v + 59. Let c be k(-19). Let h(g) = 15*g**2 + 4*g**2 - 20*g**c. Give h(s(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27\/17794 - 149461\/1334550. Find the common denominator of a and 17\/49.\nAnswer: 3675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-252)*6*2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from {o: 4, d: 1, w: 1, z: 1, u: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12231 + 4131?\nAnswer: 20402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 465670*j + 10842427445.\nAnswer: 5*(j + 46567)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -0.56 (c) -0.01 (d) -4\/3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 32*s**5 - 48*s**4 + 24*s**3 - 4*s**2 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 332366*o. Let s(f) = -3*f**2. Give s(m(k)).\nAnswer: -331401473868*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = 3*k - 3*r, 5*k - 205 = -24580*r + 24581*r for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 10. Suppose 4*q + 0*q = o - 9, -q + h = -4*o. Let y be 3*(-2)\/(-4) - 0. What is the closest to 0 in q, y, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14030?\nAnswer: 2, 5, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 341*r + 11. Let x(z) = 681*z + 16. Calculate -5*k(o) + 3*x(o).\nAnswer: 338*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4201 + 5885. Suppose 171 = -4*p + 5*y + 3567, -2*p - y = -g. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 y, and 1 k when four letters picked without replacement from rrrykdykdkiik.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/((28\/120)\/(-7)). What is the highest common factor of s and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2007*u + 46*u**5 + 2007*u + (3 - u**3 - 3)*(2*u**2 - 4*u**2 + 0*u**2).\nAnswer: 48*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d**2 - 89*d - 7. Calculate the smallest common multiple of j(9) and 464.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -16. Calculate the remainder when 58 is divided by f\/(-1)*-14 - 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**8*o*o*o*o*o**4*o*o)**(2\/87)\/((o*o\/(o\/o**(-1\/4)))**21)**(3\/4) assuming o is positive.\nAnswer: o**(-15835\/1392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0\/j)**(28\/3)\/(j**0)**0)**48 assuming j is positive.\nAnswer: j**(-448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 887*a**2 - 25*a - 32. Let f(j) = 148*j**2 - 4*j - 5. What is 13*f(l) - 2*g(l)?\nAnswer: 150*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 3 - (-28 - -35) - -13\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005592 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/(-8) + 2233\/22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 34116?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11400*n + 11420*n + 60 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -335 - -708. Suppose -4*m + 959 = -n. What are the prime factors of m?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.50870097 - -15.57.\nAnswer: 15.06129903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 5*q**2 + 3*q + 4. Let r be b(4). Which is smaller: -5 or r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5542007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-6)\/(9\/(-3)). Suppose 5*f - q = 4*f. Is -23*-1*(f - 1) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Let h be 7\/(-14)*(p - 8). Suppose h*v + 3047 = -8553. What is v rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 16*u - 48. Let x be q(12). Suppose x = r + r - 4. Factor -19*f**2 - 6*f + 6*f**r + 6*f**2 + 5*f**2.\nAnswer: -2*f*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1278898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6079 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(-110)\/44*186\/(-155)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 - m**3 + 0*m + 0 - 4*m + 2*m + 3. Let d be z(-3). Calculate the greatest common divisor of 63 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -4. Suppose -2*w = -s - 2 - 4, 9 = 3*s + b*w. Suppose 2*i + s*i = 4. Calculate the least common multiple of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 8*i + 13. Let h be n(-9). Suppose 0 = -h*r - 4*c + 60, 0 = -4*c + 8 + 4. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 60, 157, 344, 651, 1108, 1745, 2592?\nAnswer: 3679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -105, -33 in increasing order.\nAnswer: -105, -33, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irriirriiriririi. What is prob of picking 2 r and 2 i?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 8*u + 17. What is j(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1795*f*l**3 - 3*f - 34543*l**3 with respect to f.\nAnswer: -1795*l**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.5 (b) 14 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 80205 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1183*r. Let p(i) = i**2. Determine z(p(b)).\nAnswer: 1183*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34331?\nAnswer: 11, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9207 - -0.4207. Sort -2, 1\/3, t, -3, 23 in increasing order.\nAnswer: -3, -2, t, 1\/3, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 5*k - 14. Let z be (1 + 0)*3\/k. Is z greater than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5461238, -10922477, -16383718, -21844961?\nAnswer: -27306206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*f - 72 = -43*f - 102 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 191 - 157. What is the remainder when 54 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 911337398 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1969, 1974, 1989, 2020, 2073, 2154, 2269, 2424?\nAnswer: 2625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 - 3924. Let s(o) = -34397*o. What is x(s(b))?\nAnswer: -3549460827*b**2 - 3924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 + 5*o + 23. Let x(q) = 7*q**2 - 11*q - 47. What is -5*k(u) - 3*x(u)?\nAnswer: -u**2 + 8*u + 26","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10177*p**3 - 10183*p**3 + 260 - 404*p**4 + 20360*p**3 wrt p?\nAnswer: -1616*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -290207903.5780958 - -290207947. Let g = 12.5780528 + k. Let v = 56 - g. What is v rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 - s**2 - 78*s + 1685. Is g(28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 28 - -8 - (-4 + 0 + 29)) + -124?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 0, 14, -38, -846, 2 in decreasing order.\nAnswer: 14, 2, 0, -26, -38, -846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((-2 - -1)\/(1 - 0)). Solve w = -k - k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {w: 6, l: 13}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -12*j**2. Let t(f) be the third derivative of -11*f**5\/60 + f**3\/6 + 1529*f**2. Determine 3*t(k) - 2*x(k).\nAnswer: -9*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175778 divided by -179.\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1 + 0 + sqrt(208) - (sqrt(91)\/sqrt(28) + 0)) + 1)**2.\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 16.8\nAnswer: 151.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 6*j = -24, 0 = 24047*f - 24045*f + j - 7 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 22*s - 2. Let h be f(-2). Which is greater: -47 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 - 0.08. Let y = -0.39 - l. What is the closest to -2 in -4, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222427 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/2569700 and 141\/10278800.\nAnswer: 10278800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 39 = -16. Suppose 4*s = 634 + 482. What is the remainder when (s\/252 - (-1)\/(-4))*49 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011000110101100010000 (base 2) to base 15.\nAnswer: -3c77b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - c + 1. Let w be u(-2). Let l = -3 - -5. Suppose 0*x - 6 = 3*x. Sort x, l, w in increasing order.\nAnswer: w, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -15*c - 3. Give j(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 694928167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unnn when four letters picked without replacement from uuunnunnnnnnnn.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a year?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23, -83, -181, -317, -491, -703, -953?\n\"Answer: -19*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -23 + (-4 - -12) - (1 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*d + 53*d + 259 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 109987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-39)\/(-10) - 1\/(-10). Suppose -4*g + i - 15 = 0, 5*g - y*i + 24 + 3 = 0. Let c be (3\/2)\/(3\/(-1)). What is the closest to g in 0, c, 1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23 (b) 0.08 (c) 5 (d) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-261))\/(33\/22)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 8*o**2 - 3*o - 3. Give u(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30354 (base 7) in base 12?\nAnswer: 4339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/2))**(-36))**(-2\/41) assuming z is positive.\nAnswer: z**(36\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 4. Let d = 124 - 131. Determine c(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023 is divided by 443?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 0)*(-19*r**2 + r - r) - 2 + 2 - r**2 + (5*r + 0*r - 4*r)*(3 - 3 + 2*r) - 84*r**2 + 1208 - 1208 to n*r + d*r**2 + f and give d.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*w + 18. Suppose -w = -2*v - 2. Suppose 4*b - 2*b + v*x - 1360 = 0, -5*b + 3392 = -3*x. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**2*r + 149*c**2 - 30*c + 856362*r + 100 wrt r?\nAnswer: -2*c**2 + 856362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 10.2, -1\/2, 465?\nAnswer: 465","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000283150087 to 7 decimal places.\nAnswer: -0.0002832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 211*4 - (-15)\/(-10)*(-80)\/60. Calculate the greatest common factor of 12 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -196.96 + 196.66926. Round m to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/18*(-2)\/2*2. What is the tens digit of 86*(-2)\/(-4)*(0 - v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {k: 1, n: 3, h: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -286 - -290. Suppose 2*f - 2*f = q*f. Sort -3, -1, f, 4.\nAnswer: -3, -1, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 a when three letters picked without replacement from jaaaajj?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1 + 0 + 0 + b + 0*b. Let x be d(5). Solve 0*r + 1 - 15\/4*r**2 + 15\/4*r**x + 5\/4*r**3 - 9\/4*r**5 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*d - 25, -3*h + 0*h = 2*d - 1. Let k be -1 + d - (-8)\/(-2). Suppose f - 17 = -k*f. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 657 - 1726. Let d = -430 - n. What are the prime factors of d?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 19. Let d(o) be the first derivative of o**3\/3 + 5*o**2\/2 + 3*o - 1. Give d(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, l: 1, m: 1, c: 1, y: 1, t: 1}. What is prob of sequence tum?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 957056?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {a: 8, f: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 290 - 286. Calculate the smallest common multiple of r and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*12\/288 - (-958)\/8. What is the greatest common divisor of p and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-7) - ((-80)\/(-35) - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 900720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 517920881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.09657+19061\nAnswer: 19060.90343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -4 - (-7 - -7 - 5)) + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 - 6083245 + 6083245.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 566 divide 710700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 556563 (base 9) to base 6.\nAnswer: 11045050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (2878\/(-18))\/((-57)\/513) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**3\/3 - 5*j**2\/2 - 5*j + 1. What is the units digit of i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1003*h = 1053*h - 300 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010 + 10?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(3 - (-15)\/(-6)). Suppose -18 = -f + 3*s - 1, f = -s - o. Suppose 24 = f*g + g. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127\/95 + 14\/19. Suppose 3*d + 10 + 2 = 0. Let t = 7\/5 - 19\/15. Which is the closest to -0.1? (a) o (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2760.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3 - 27*s = 0. Calculate s.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -48*w**3 + 4*w**2 - 41*w + 1158. Let n(l) = -47*l**3 + 3*l**2 - 34*l + 1158. Let p(r) = 3*b(r) - 4*n(r). Differentiate p(h) wrt h.\nAnswer: 132*h**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14033?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29585, -236579, -798393, -1892429, -3696089, -6386775, -10141889?\n\"Answer: -29567*i**3 - 8*i**2 - i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 12:41 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243297 - 181669 = -113*d - 93989. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 66, 104, 144, 186, 230, 276?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-17)\/(-2) - -2)*2. Let y be 36\/k + (-6)\/(-21). Let m be (9\/(-6))\/((-1)\/y). Solve m*a + 2*a + 25 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-220)\/14 + 6\/(-21). Calculate the common denominator of 3 - (114\/h)\/3 and -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2353 is divided by 391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(5\/7)\/v**0*(v\/(((v**(-1)*v)\/v)\/v))**(-12\/17)*((v**(-1\/5)\/v)\/((v**(-8)\/v)\/v))\/(v*v**(-2\/7)*v)**(-28) assuming v is positive.\nAnswer: v**(32961\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 262\/5, -3316.\nAnswer: -3316, 1, 262\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 o when three letters picked without replacement from kohohoh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5752.562 and 9817909.\nAnswer: 9812156.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 201, 10, 4, -3, 5, -12 in increasing order.\nAnswer: -12, -3, 4, 5, 10, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 83788369, 167576739, 251365109, 335153479, 418941849?\n\"Answer: 83788370*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*j**2 - 2 - 881*j**2 + 3 in the form r*j**2 + z + p*j and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7939075*u**2 - 1 - 4.\nAnswer: 7939075*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*f**2 - 20*f**2 + 11*f**4)*(3*f + 2*f - 3*f) - 221*f**5 + 170*f - 170*f.\nAnswer: -199*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10)*522\/696\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2024 + 5712. List the prime factors of (-2)\/(-11) - o\/(-44).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/6513 and 37\/264361.\nAnswer: 10310079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0, -0.5, -5 in decreasing order.\nAnswer: 0, -1\/3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 9290*d**2 + 46401*d + 222840.\nAnswer: (d - 9285)*(d - 8)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.08, -0.03, 2, 10, -1\/2, 5\/13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/5 (b) -3 (c) 0.06 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -11. Suppose 4*j - k*j = 10. Let b = 4 - j. Let y(s) = -s**2 + 7*s - 7. What is y(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:26 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3*h - 23 + 15, -5*g + 21 = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657*((-3)\/(-3) + 0\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*x - 5732 = -260 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and 110.3161?\nAnswer: 154.44254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 6*c - 4. Suppose 2*t = -3*t. Suppose -s - 2*u + 2 = 0, t = -5*s + u - 0*u + 32. Let r be p(s). Let o(v) = v + 2. Calculate o(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/75*(-5)\/(-3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 4)*(-11*m - 9*m + 19*m - 2)*(-33246 - 15*m - 7*m + 33252) to the form o*m + v*m**2 + i and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(160)\/(2*sqrt(8)))\/(sqrt(40) + sqrt(160)))**2 - (sqrt(10)\/sqrt(5) + 2 - (4 + sqrt(2)*2))**2).\nAnswer: -4*sqrt(2) - 71\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190977 - 2*p + 190977.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2997859.414 to the nearest one thousand.\nAnswer: -2998000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 + 58*x - 18. Let k be i(18). What are the prime factors of (409\/2*1)\/(k\/108)?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**2\/2 + a - 3. Let f be y(2). Suppose 0*u = -f*u + 114. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 284, 446, 608, 770, 932?\n\"Answer: 162*i + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4590.6 - -1749\nAnswer: -2841.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 112 = 3*v. Let a = v + -38. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 11*l - 2. Calculate c(-8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/((-45)\/(-3))*(-1 - 5). Let a = 177 + c. What are the prime factors of a?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.19 + 32.41. Let g = i - 19. What is g rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-9)*-3 - 11. Let h = j + 17. Let m = -0.1 + -3.9. What is the third smallest value in m, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 19*s**3 + s**2 - 3*s - 5. What is n(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**2 + z**3 + 0*z**3 + 7 - 28*z + 19*z**2. Is g(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 16.202.\nAnswer: 178.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 8*g**2 - 6*g + 8. Let h be z(-7). Calculate the remainder when 1 is divided by 0 + h*(1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen quarters of a millennium?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 1955*m + 15960.\nAnswer: -5*(m - 399)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 + (-2)\/(3 + -5). Let g(s) = s**3 + 7*s**2 - 8*s + 4. Let t be g(p). Solve -t*o = o + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = i - 3*i + 8, 0 = -s - i + 5. Let c = 3 - -3. Calculate the lowest common multiple of c and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-2)\/9) - (1\/(-7))\/((-1960)\/126910).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = 527 - 478 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 457096?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 562, 3193, 7602, 13807, 21826, 31677, 43378?\n\"Answer: 3*u**3 + 871*u**2 - 3*u - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4 - 362*r + 361*r + 2. Let h be 0 + -2 + 3 - 7. Calculate d(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -103*x. Let n(i) = -2*i**2 - 825. Determine j(n(y)).\nAnswer: 206*y**2 + 84975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*d - 14, -5*c + 9 + 4 = -4*d. Let p be (0 + (0 - c))*-4003. Suppose -5*f = 2*j + 2*j + 4988, -j + p = -4*f. Round f to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/7)*t*t**(-3) assuming t is positive.\nAnswer: t**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.54 and -2807?\nAnswer: -15550.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 - 3*q**4 + 4*q**3 + q**2 + 0*q**4 - 2*q**4 + q**4 - 1 as f + p*q + c*q**2 + l*q**3 + h*q**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 1\/5, -4, 3, -2\/11, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in -2, 35, 1.53?\nAnswer: 1.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 11*i + 4. Let b be w(0). Solve -b*q + 6*q - 8 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 5*c**6\/6 - 19*c**5 - 205*c**4\/4 - 35*c**3 - 628. Find w such that i(w) = 0.\nAnswer: -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from ailfaaaiaxgia.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 677002 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(o*o**(-3\/4)\/o)*o*o)\/o)**(4\/7)*(o\/((o*o\/(o*(o*o**28*o)\/o)*o)\/o))\/(o*o**(-22)))**19 assuming o is positive.\nAnswer: o**(6935\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -742, -625, -508, -391, -274, -157?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**6))\/(r*r\/r**0))**7*(r**(3\/5)*r**(-2\/13))\/(r\/(r\/r**(-2))*r\/(r**(-6)\/r)) assuming r is positive.\nAnswer: r**(-4001\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52673*-0.6132.\nAnswer: 32299.0836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 b when four letters picked without replacement from {b: 2, z: 2, a: 6, i: 1, w: 4}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1\/6, 19 in descending order.\nAnswer: 19, -1\/6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57337.\nAnswer: 7, 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12584881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 100001 (base 2) to base 14\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5790 + 5772 - 11571 - 2*i.\nAnswer: -2*i - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3417\/17035 - -2\/3407. Which is the nearest to 0.2? (a) k (b) -4\/3 (c) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 1\/45*o**6 - 27*o**2 + 0*o + 0*o**3 - 1\/180*o**5 - 19\/630*o**7 + 0 + 1\/84*o**8 + 0*o**4. Determine w so that n(w) = 0.\nAnswer: 0, 1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165.775971 rounded to two dps?\nAnswer: -165.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76108 + -43017. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1841?\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 33 - 21 = 0, d = v + 8. Does 58 divide v\/40 - 67887\/(-90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 611.91 + -13.91. Let u = -600.047 + z. What is u rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (3 - 7 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**3 + 1. Suppose -90 = -23*j + 17*j. Let m(v) = 3*v - 48. Let a be m(j). Let g be 3\/(-2)*(-12)\/9. Let h(y) = -3*y**3. Calculate a*h(p) + g*u(p).\nAnswer: p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 232310914.\nAnswer: 232310914.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5434 is divided by 597.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-32)*h)**(-2\/125))**(-44) assuming h is positive.\nAnswer: h**(-2728\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -1\/6*b**4 + 1\/2*b**2 + 2\/3*b**3 - b + 0. Let r(f) be the first derivative of h(f). Differentiate r(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -2\/3, 135, 25?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u**2 + 13*u + 31. Let y be c(-7). Suppose y + 269 = 5*b. Does 44 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = y + 3, 4*q = -5*y + 53 - 68 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - 62. Let u = -83 - z. What is the highest common divisor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7533.421 litres to millilitres.\nAnswer: 7533421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/20 and 6\/14 + 4455\/(-5250).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -58501*r**2. Let l(o) = 6*o. Determine l(w(u)).\nAnswer: -351006*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 201729983 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -9*b + 14*b. Solve 0*a + 3*a - b*z = -4, -2*a - 21 = -5*z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c + 9. Suppose 0 = -2*t + 3*y + 25, 10*y + 25 = 5*y. Let f(m) = 6*m + 13. Let z = -16 + 9. Calculate t*f(p) + z*d(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29455 from -0.024.\nAnswer: 29454.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 6 - 6)*(-b**3 + b**3 - 4*b**3).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.226 + -0.126. What is the closest to 2 in d, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - l**3 + (-4*l + 4*l + l)*(-4*l + 11 - 11)*(3*l + l - 2*l).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p + 652 = 79*p - 128 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1368 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -4*u - 1 - 3\/2*u**2. Let q = 7 - 11. Calculate v(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 9*t**2 + 12*t - 6. Let j = 122 - 112. Calculate the remainder when 47 is divided by m(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -41226.1.\nAnswer: 164904.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 351*u - 683 wrt u?\nAnswer: 351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**5\/30 + 37*m**4\/24 - 50*m**2 + 1. Let s(o) = -o**2. What is s(t(d))?\nAnswer: -4*d**4 - 148*d**3 - 1369*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**3 - 2*o**2 + 4*o - 3. Determine h(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 222*c + 1. Let p be l(-2). Let n = 3525\/8 + p. Calculate the common denominator of n and -1\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107\/3 - -35. Let g be (-16)\/18*(-2)\/(-8). Which is the nearest to p? (a) 0.4 (b) g (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -59\/881 (c) -3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 16623766 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10870557 (base 9) in base 12?\nAnswer: 1938181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17580763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2602 - 2594 = -2*d, -42 = -3*g + 3*d for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 102 = 5*i, 3*o = -3*i - 2*i + 103. Let m(v) = -v**3 + 3*v**2 - 3. Let l(x) = 8*x**3 - 20*x**2 + 20. Give i*m(z) + 3*l(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10688\/29 or 369?\nAnswer: 369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -50a (base 13) to base 4\nAnswer: -31113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a - 33522. Let p(k) = -9*k. Determine c(p(d)).\nAnswer: -36*d - 33522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l = -5*l + 11552. Are -361 and l nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Expand (3 - 3 + m)*(-4*m**4 + m**4 + 2*m**4) + 2*m**5 + 0*m**4 + 0*m**4 + 331*m + 91*m**5 - 331*m.\nAnswer: 92*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -28. Let z = q - -4.5. Sort 0.4, -3\/2, z in decreasing order.\nAnswer: z, 0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113743513 and 481.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1995\/(-28))\/19)\/((-2)\/8). Solve k = 66*y - 71*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 14390*b - 21594.\nAnswer: 2*(b + 3599)*(2*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7.67 (b) 3\/4 (c) 1 (d) -0.3 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/366 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 1011*v + 48350. Determine c(-44).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/36 and -5\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 6*o - 105 - 41 = 0, -6*o + 61 = -89 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (328 + (-65354)\/164)\/(-2 - 10\/(-4)).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 106*h + 1164. Let m be l(-11). Sort m, 1, -4, -5.\nAnswer: -5, -4, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.08, -2, -2\/5, -0.2, -5\/2, -0.37?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*y + 4*y + 1158, 2*x - 1128 = -4*y. Suppose 166 + x = 5*q - 5*n, -2*n + 10 = 0. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277967416 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: Express ((3 - 4 - 3)*(4 - 3 + 0) - 3 - 1 + 5)*(-96*c**3 + 86*c**3 + 68*c**3) in the form a*c**3 + j + n*c**2 + d*c and give a.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 3*f**2 - 3*f + 3. Let c(u) = u**3 + 2*u**2 - 2*u + 2. Let a = -428 + 425. Determine a*c(x) + 2*w(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = o - 19, -3 = 2*o + o. Suppose 2*d - 15 = 4*m - 7*m, -2*m = y*d - 10. Solve -12 = -d*n + 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-2 - -7) - -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 0 + 1\/3*q**3 - 1\/12*q**4 - 1\/2*q**2 + 3*q. Calculate w(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6196 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 17*j**2 + 18*j + 18. What is b(-16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 9 = -3*i. Suppose -u = 2*k - 7*k + 19, -3*k + 5 = u. Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/(p\/(p\/p**7))))\/(p*p*(p*p*p*p**(4\/7))\/p*p))**(-40) assuming p is positive.\nAnswer: p**(-680\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r. Let c be u(6). Let n be (5\/15)\/(4\/c). Factor n + 1\/2*o**2 - o.\nAnswer: (o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1.4, -2, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 633102 by 6.\nAnswer: 105517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0558 + 3590.9442. Let q = w - 3593.881. Let y = 2.9 + q. What is y rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 169*k**3 - 3*k**2 - 5*k + 5. Calculate p(1).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/((-6)\/12). Let 6\/7*v + 0 + 9\/7*v**2 - j*v**4 - 9\/7*v**5 - 9\/7*v**3 = 0. What is v?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-3\/5)*f**5*f\/(f*f**0)*((f\/(f**(-6)\/f))\/((((f\/(f\/(f**(1\/10)*f)))\/f)\/f)\/f))**(-37) assuming f is positive.\nAnswer: f**(-3619\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*w = 3*y - 34, -4*w - 32 = -3*y. Suppose 3*g = 34*g - 18104. What is the smallest common multiple of y and g?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.3, 0.2, 2\/107, 5 in increasing order.\nAnswer: -4, 2\/107, 0.2, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -224\/27 - -2963\/432. Let d = 466570195\/794 + -587620. Calculate the common denominator of d and o.\nAnswer: 6352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4972442 by -5.\nAnswer: -4972442\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q + 16. Let x be y(-10). Let s be (-20)\/8*x\/5. Let b(r) = r**3 - 16*r**2 - 16*r + 15. Is 23 a factor of b(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -19, 27, -1 in descending order.\nAnswer: 27, -1, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 34) + ((-36)\/(-16))\/((-6)\/16)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + 16 + 27 + -34?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 5:30 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13720 + -13722. Sort c, -4, -0.5, 3, -39.\nAnswer: -39, -4, c, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2834 - 33.2834. Which is the second biggest value? (a) 0 (b) -5 (c) 6 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.5 from 0.049575.\nAnswer: -2.450425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**3 - 8*t**2*y**2 - 997*t*y**2 - 3*y**2 - 2*y - 194 wrt t.\nAnswer: -3*t**2 - 16*t*y**2 - 997*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 26 = -3*w + x, 4*w - 15 = -5*x. Let b = -12 - -22. Suppose -w*f - b = -10. Which is greater: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3 + 4254*c**2 + 384896*c + 752760 = 0. Calculate c.\nAnswer: -85, -2, 2214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 202316 and 296?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2. Let o be s(-4). Let v be (o\/(-24))\/(2\/(-6)). Solve -4 = -4*p + v*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4*(-3*-3*sqrt(17) - sqrt(17)))**2.\nAnswer: -256*sqrt(17) + 17424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 18*u**2. Let z(p) = 1106*p - 68. Determine z(n(i)).\nAnswer: 19908*i**2 - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4456, -4857, -5258, -5659, -6060?\n\"Answer: -401*w - 4055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlllt. Give prob of sequence tlt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 3*v**3 - v**2 + v - 9 to the form c*v**3 + b + z*v**2 + d*v and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 0*z - 2*z + 3*z. Let t(u) = 2*u - 1. Let j(y) = 6*i(y) - t(y). Is 8 a factor of j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -57*l + 332. Let d be f(6). Let z be 6 + 0 + d + -9559996. Round z to the nearest 100000.\nAnswer: -9600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - -17. Suppose 5*r - 5 + n = 0. Let q be 3\/r*-12*2. Solve 0 = -0*f - 4*f + 4*x, 2*x = -4*f - q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008244212 to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4763053, 19052209, 42867467, 76208827?\n\"Answer: 4763051*l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(160)\/sqrt(4) - sqrt(40))\/sqrt(8) - (sqrt(320) + 0)).\nAnswer: -8*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21190*d = 21275*d + 680 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27666?\nAnswer: 2, 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 11*k**6\/6 + 71*k**5\/2 + 1085*k**4\/12 - 445*k**3\/3 - 660*k**2 - 4022*k + 2. Solve h(t) = 0.\nAnswer: -11, -2, -1, 12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 4*n**3 + 0*n**3)*(6 - 3 - 2) + (8*n**2 - 2*n**2 + 3*n**2)*(2 - 2*n - 2).\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 7*n - 5*u + 23, 0 = 3*n - 2*u - 16. Suppose 16 = -463*o + 464*o. Calculate the remainder when o is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i + 2. Let w be g(-3). Let j(q) = q**3 + 8*q**2 + 6*q + 1. What is j(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)*5*-6 - 6*sqrt(26)*2)\/(-6*3*sqrt(2) - (sqrt(18)\/sqrt(9)*3 + sqrt(2))).\nAnswer: 21*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 298025 and 2883790.\nAnswer: 1888882450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -1 + (-2)\/(-7). Let k = 1 + -1. Suppose 2*i + k*i + 18 = 5*r, -5*r = 4*i - 24. Which is the closest to j? (a) r (b) -4\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 598 + -595. Let p = -2.1 + 1.4. Which is the biggest value? (a) t (b) -3\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 2*x**2 + 0*x**4 + 0*x**5 + 0 + 0*x + 0*x**3 + 1\/360*x**6 - 1\/630*x**7. Factor o(a).\nAnswer: -a**3*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 + 68. Suppose f*k - 2*n + 6 = 32, k + n - 3 = 0. Suppose 1 = 3*v - 14. Sort k, v, -2 in descending order.\nAnswer: k, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10835*x**4 + 2*x**3 + 27284*x**2 wrt x?\nAnswer: 260040*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27703524?\nAnswer: 2, 3, 43, 53, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 365 = w, 4*d + 7*w - 292 = 4*w. Let n = -71 + d. Find the first derivative of -1081*f + 3 - 12*f**n + 1081*f wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 55 = -z - 378, 0 = -2*j + 2*z + 224. Let r = j - 20. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.4346582ms?\nAnswer: 0.0004346582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 35 + 30 - 119 - 34*g**2 + g**3 - 69*g. Is h(36) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20966022 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, t: 4, f: 3, h: 1, a: 6, w: 4}. Give prob of picking 1 h, 2 t, and 1 a.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 6*l - 9 - 28, 74 = -2*h + 7136*l - 7141*l for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, -89, -13, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1437*u + 224164. Give o(-156).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-39867)\/15 - (-1)\/(-5). Let v = -375884 - -1514245\/4. Let o = v + q. What is the common denominator of o and -55\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101 - 1220101001?\nAnswer: -1220102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/3)*m*m)\/(m*m**(-3)\/m)*(m**(-1))**(-1\/47))\/(m\/(m\/(m**(-6)*m))*(m\/m**(-4)*m)\/m*m**(2\/13)\/m**3) assuming m is positive.\nAnswer: m**(15032\/1833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2962*x + 110394. What is h(-38)?\nAnswer: -2162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u**5 - u**3 - 9*u**5 + 2*u**3)*(-7 - 18 + 16 + (3 + 2 - 7)*(1 - 4 + 5) - 1 - 3 + 3 - 3 + 2 + 0 + 0 + 1 - 2).\nAnswer: 32*u**5 - 16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 128478 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.27 in -1, -5, -9\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -33022131 (base 4) to base 3\nAnswer: -10011012100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 2.46422?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 5 = 7003*u - 7006*u, 32 = 4*u + 2*b for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37887.937 - -4.\nAnswer: -37883.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28710872 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -15. Suppose 3*j - w = 2*j. Is 15\/(1*j\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.4, -5, 2.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7035*z**3 + 883*z**2 - 21031243*z wrt z.\nAnswer: 42210*z + 1766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/205 and -27\/451.\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1929.494 - -1103316.506. Let x = -1105290.9963 + b. Let v = x + 45. Round v to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2779*k - 6*k**2 + 2779*k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1002 + -10a50?\nAnswer: -11a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 110*q**2 - 47*q - 5. Let y(r) = 109*r**2 - 49*r - 6. Determine -7*u(v) + 6*y(v).\nAnswer: -116*v**2 + 35*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1\/6 (c) 7\/3 (d) -3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from {o: 8, g: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/33*10 + (-2)\/(-11). Let z be 3\/21*-2 + q\/(-189). Let b = 0 + -1\/8. What is the biggest value in z, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**2 - c + 1. Let h = -117 + 117. Let d be a(h). Solve 0*r - r - d = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4830*b**4 - 3*b**2 + 3*b - 35?\nAnswer: 115920*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.8535 + 0.2?\nAnswer: -20.6535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9*u**2 + 6*u. Let t(z) = 8*z**2 - 4*z. Let a(x) = 2*h(x) + 3*t(x). Let b(q) = -150*q. What is b(a(m))?\nAnswer: -900*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45830? (a) -3\/7 (b) 0.07 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -44. Suppose -2*o + h = -0*o. Suppose -4*t + 2069 = -o*l - 10826, 5*t - 16111 = -4*l. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 15843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 36 = 164. Let o be 3\/(-2)*(204 - (-7 + 9)). Let t = 383 + o. Calculate the highest common divisor of t and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(3)*-2 + -3.\nAnswer: -10*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*z + 7589 - 851 + 50890*z**2 - 50904*z**2 wrt z?\nAnswer: -28*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 + 59. Suppose -36 = -d*j + j. Suppose 4*o = 5*q + 21, 0*o = -3*o - 5*q + 7. Solve a + j = s, -2*a - o = -0*s + 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6*(-18)\/((-342)\/19).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/917 and 55\/469.\nAnswer: 61439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 18 + 14. Let x(q) be the first derivative of -4*q - q + 3*q**4 + 9 - 2*q**v. Differentiate x(z) with respect to z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3511, -8885, -14247, -19591, -24911?\nAnswer: -30201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000145779 rounded to seven decimal places?\nAnswer: 0.0000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(7\/30)*-14. Let n be 2\/12 + (-19800010)\/b. What is n rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + -3*(sqrt(15) + 2*sqrt(15)))\/sqrt(3)*1.\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06694706 rounded to three dps?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 553 + -566. Which is bigger: u or -14?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4480232021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/57268 not equal to 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5919 + 1.5919. Put -1, c, 0.0146, 0.4 in ascending order.\nAnswer: -1, 0.0146, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -285464411 from 43.2.\nAnswer: 285464454.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/19 + 4185\/(-589). Let o be (972\/126 - 2\/c)*2. Solve -5*u - 22 = 3*a, u - o = 5*a - u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -233*s + 2317. Give w(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + a + 1. Let r(v) = -2*v**2 - 3*v + 5. Let l(p) = -r(p) - 4*w(p). Let z be l(5). What is z rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guguxgggggggx. What is prob of sequence gx?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 5*h + 1. Let u be s(4). Let v = -2 - u. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q = -37*q + 26. Put 3, 9, q, 0 in descending order.\nAnswer: 9, 3, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66.9*-0.103\nAnswer: 6.8907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 39. Which is bigger: b or -12?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjwwwwjgcgcwwqcjwww. What is prob of sequence jwqj?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1606 + 830. Let c = l + 1796. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3, -5*r + 11 + 9 = 5*q. Suppose -a + 5*k - 10 = k, r*a = -4*k + 2. Sort a, 2, 53 in descending order.\nAnswer: 53, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 280.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -421426 (base 7) in base 9?\nAnswer: -120514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 22 - 14 - (-2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -19 + 9, -a = 3*m + 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 4*t = 0, -792*d - 15 = -791*d + 2*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = w + 2*w - 4*t, -w - 5*t = -5. Let s be 0 + (-4 - (-2 - -1)). Let q = 41\/3 + -13. What is the nearest to 1 in w, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1128 - 9.9.\nAnswer: -10.0128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48c372 (base 16) in base 15?\nAnswer: 642dd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a. Suppose p - 9 - 83 = a. What is the highest common divisor of p and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -30, 0.3, -0.4, 2, 1\/4, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -725, -2543, -6077, -11897, -20573, -32675, -48773?\nAnswer: -69437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21018513493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -12 - (-3 - 16) - 24?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2200*s**2 + 899*s - 5697537?\nAnswer: -4400*s + 899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/9 - 6\/27. Suppose u - 6 + 1 = s. Suppose -25 = -4*a - 3*b - 5, 15 = 3*a - b. Solve 0 = -u*q - a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + j**2 + 2*j + 3. Let g(s) = -s**3 - s**2 - 3*s - 2. What is -3*g(d) - 2*l(d)?\nAnswer: d**3 + d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*k**5 - 42*k**2 - 6\/5*k**4 + 82\/5*k**3 + 208\/5*k - 72\/5 = 0.\nAnswer: -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 12*v + 5. Let t be n(4). Suppose t = 4*r - 27. Suppose 2 = k - 5. What is the remainder when r is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, g: 1, u: 4, d: 3, w: 1}. What is prob of picking 2 u, 1 d, and 1 g?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 3*c + 3. Let o be s(-2). Let r(x) = -x**3 - 11*x**2 + 13*x + 20. Let a be r(-12). Let y = o + a. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 14 - -14 - 19.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l - 208 = -21*l. Calculate the remainder when l is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 + (-70 + 94 - 66)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 3*z - 4. Let j be q(-3). Let s be (-2)\/j - 13404\/(-42). Calculate the greatest common factor of s and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481445 is divided by 96287.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.6 + -4.577. Suppose -5 = f - 3*g, 5*f + 15 = g + 4*g. Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4776 + -62080\/13. Let l be 12\/72 - (-46)\/156. Factor -l*v**2 + 0 - a*v**3 + 0*v - 2\/13*v**4.\nAnswer: -2*v**2*(v + 1)*(v + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**5 - 15556*m**4 + 11045244*m**3 - 1827777420*m**2 + 5384345400*m = 0.\nAnswer: -4522, 0, 3, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 374 and 9.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -13. Suppose 0 = -5*w + 31 - 1. Suppose 0 = -5*i - m - 3, -4*i - 3*m + w*m = -9. Solve -14 = -s*x + 5*n, -4*x + i*n = n - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 3*n**2 - 1. What is z(-5)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*3)\/(15\/2). Let z(y) = y**3 - 28*y**2 + 95*y + 1167. Let l be z(12). Which is the nearest to 0.2? (a) p (b) -0.4 (c) l (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1206403 is divided by 301595?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2201*z + 2888*z + 96501 = 482*z - 244417 for z.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eyzz when four letters picked without replacement from {z: 5, w: 3, y: 4, e: 3, x: 3}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2487, -3769, -5051, -6333?\nAnswer: -7615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, 5, 0, -1.09, 157?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28635 - -28679. What is the highest common divisor of m and 16247?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*p - 9*p + 12*p as y*p + s and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = u + 10, -y - 2*y + 12 = 0. Let p = 847\/5 - 170. What is the third smallest value in -0.06, p, u?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3690 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*v - 13*v + 1128 + 852 = 88*v for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 1281642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 30*l - 738. What is the hundreds digit of x(42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**2 + 5. Let w(i) = -2*i**2 - 2. Let y be 126\/(-33) - (-2)\/(-11). Let k be 6\/y*12\/9. Give k*j(s) - 5*w(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3. Suppose -5*s = -4*m + 18, 6*m - 5*m - s - 5 = g. Let v = m + -4. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62311 is divided by 31153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 3443 - 1933. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Let f be (111 + 2)\/(g\/4). Suppose 304 = 2*c - f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21833508 and 380.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.2 in 3\/13, 2\/11, -11, -2, -0.1?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 419 and 361656917.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.395 + 70.495. Let l = 70 - v. What is the third biggest value in -1\/3, -2.5, l?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 314 from 63396.648.\nAnswer: 63082.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20961070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 839*a + 32978 - 6130 = 0 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 + (-32 + 24 - 19) + -1.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, -17, 123, -19, 2, 3 in ascending order.\nAnswer: -19, -17, 2, 3, 123, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13295958 and 6647979.\nAnswer: 13295958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 664038 and 486?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l = 6. Let i = -15 - -32. Let d = i + l. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1335075 is divided by 798?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263003.\nAnswer: 13, 20231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2329474 to the nearest integer?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1377) - (-2*sqrt(1377) + -2)) + -3*2*sqrt(1377))**2 - ((-1 + 1*sqrt(833))**2 - (sqrt(833) + (-6*sqrt(833)*-3)**2)).\nAnswer: -87*sqrt(17) + 281457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9943, 9942, 9941?\n\"Answer: -r + 9944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 296 + 802. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -97 - (37324 + -37531).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -267 - -268.43. Let y = m - 0.43. Which is the second smallest value? (a) 1.2 (b) 0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3660336710?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 129 (b) -0.07 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1500 (base 12) to base 15.\nAnswer: -ad3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/32 (b) 0.2 (c) -30 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 818273 divided by -34.\nAnswer: -818273\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1204873 rounded to 3 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*m - 65 = 259. Let i = 5.04 - 0.04. Which is the third biggest value? (a) m (b) i (c) 2\/5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 1696476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**5\/5 + 461378*l**4\/5 - 26608476668*l**3\/5 - 26609399428*l**2\/5 + 5321695334*l + 5321787610 = 0.\nAnswer: -1, 1, 115345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 2*q - 26. Let u be w(-4). What are the prime factors of 2\/((1501\/(-501) - u) + 1)?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, s: 1}. What is prob of sequence fs?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2)*(-9 - -8)*(-6)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 k, and 1 r when four letters picked without replacement from {e: 1, k: 1, f: 2, g: 3, d: 3, r: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4031924857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.04 times 680?\nAnswer: -5467.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v + 6*v - 202*v**4 + 199*v**4 + v**2 in the form b + u*v**3 + s*v**4 + l*v**2 + k*v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b - 125 + 47 = 33*c - 29*c, 3*c - 27 = -9*b + 6*c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*z - 2603*z - 6 - 1262*z.\nAnswer: -4033*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.3 - 26.3. Let v = p + 28.6. Let k = v - 8. Sort -5, -1, k.\nAnswer: -5, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k = 4*j - 98, 210 = 5*k + 3*j. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 4824*h - 43659.\nAnswer: 3*(h - 1617)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 4:24 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -31*l**4\/12 + 13*l. Let c(b) = -2*b**2. Determine p(c(g)).\nAnswer: -124*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 less than 374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from ppokkapokakakoappt.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/84 and 83\/354018?\nAnswer: 708036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 26*h + 47. Let x be m(-24). Suppose 0 = -q - 4*t - 15, 2*q - 9 = 4*q + t. What is the units digit of (96\/q + 3)\/x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6943 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 14) to base 8\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2366, -3, 2 in ascending order.\nAnswer: -2366, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -57.01 and 33156986?\nAnswer: 33157043.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 4*h**2 + h - 3. Let y(t) be the second derivative of -t**5\/20 + t**4\/12 - t**3\/6 - 2*t**2 + 3*t. Let d be y(0). Determine z(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 13 + 2 = -n, -5*u - 27 = -2*n. Let w be (1*4)\/(n\/8). Solve w*t = -t + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101110100 (base 2) to base 14\nAnswer: 1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 13 = n, -x - 4*n - 8 = -2*n. Suppose -3*h + 5 = j, -2*j - 3*h = 3*j - 13. What is the third derivative of -3*g + g + 2*g + j*g**3 + x*g**2 wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 43*y**2 - 64*y + 739. What is g(-41)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 680 = -3*q + 630, -5*q - 3*h - 58 = 0 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 5*z + 1. Let x(u) = 3*u**2 + 14*u + 3. Let v(b) = -11*p(b) + 4*x(b). Let i be 3\/(-2)*8\/6. Let f be v(i). Solve 2*j - f*j = -5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*j - 14. Is 5 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*p + 40*p - 1529. Let j = -139 + p. Factor -1\/3*b - b**2 + j - b**3 - 1\/3*b**4.\nAnswer: -b*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 - -2. Let s(y) = -122*y + 944. Let h be s(8). Which is the nearest to g? (a) 2 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 3*r. Calculate the common denominator of l(-3) and ((-291)\/2 + 0)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttt. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2326*m + 563. Let j(c) = 2292*c - 564. Let b(o) = -5*j(o) - 6*p(o). Differentiate b(g) wrt g.\nAnswer: 2496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + 0*q - 2*q - 3*q + 3*q - q + (-3*q + q + 0*q)*(-3 - 2 + 4) - 2 + 2 + q + 0*q + q + q + 2*q - 6*q + 2*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/3667968 and 139\/205253376.\nAnswer: 4926081024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*s - 740609 = 1397738 - 711367. List the prime factors of s.\nAnswer: 2, 3, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*s**3 - 30*s**2 - s + 123?\nAnswer: -42*s - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, -34, -115, -262, -493, -826, -1279?\n\"Answer: -3*r**3 - 6*r**2 + 6*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 337.88 - -0.2.\nAnswer: 338.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 12:25 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -24*y**3 + 2*y**2 + 2*y + 1. Let k be a(-1). Suppose h + k = 6*h. Suppose 3 = -h*v + w + w, 0 = -v - 3*w + 13. Solve 6 = -t + v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + (-2)\/2 + -2. Suppose -6*s = -x*s - 15. What is the second smallest value in s, -6\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.097\nAnswer: 0.0291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2671874 is divided by 667961.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 4*l + 52, 262*b - 24 = 266*b + 5*l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 2:31 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/10 and 26\/7093?\nAnswer: 70930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*o**5 - 56*o**4\/3 - 19*o**3\/6 - o**2\/6 = 0. What is o?\nAnswer: -1\/3, -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -433*l. Let a(q) = 5*q + 33. Determine a(v(y)).\nAnswer: -2165*y + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 - 190*s + 1. Determine a(8).\nAnswer: -1327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.925 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1045\nAnswer: 1\/1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 436 + -461 + (7\/7 - -90)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.85 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 3 (c) -33 (d) 4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 54*g - 5. Calculate the remainder when r(1) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5268 + 6.9408. Round k to 1 dp.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5770 - 34535\/6. What is the common denominator of q and ((-183)\/9)\/(12\/(-9))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2197, -4318, -6357, -8290, -10093, -11742, -13213, -14482?\n\"Answer: 4*v**3 + 17*v**2 - 2200*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 3, n: 6, f: 8}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 77*z**4 - 21407*z**3 + 42936833?\nAnswer: 308*z**3 - 64221*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80858 - -180989. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**2 - 5*h + 7. Let r = -1 - -5. Let u(b) = b - 2 + 2 + r. Determine -3*u(z) - 2*x(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 1\/12*f**4 - 1\/60*f**6 + 0*f + 0*f**3 + 2*f**2 + 0 - 1\/105*f**7 + 1\/30*f**5. Determine l, given that m(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -314*b**2*f**4 - 2*b**2*f + 209*b**2 + 2 wrt f.\nAnswer: -1256*b**2*f**3 - 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8514131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + o + 166 + 2*o**2 + o**2 + 3*o**2.\nAnswer: 6*o**2 + o + 213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 116 (c) -3\/5 (d) 0.1 (e) 0.6 (f) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m - 1. Let x(r) = r. Suppose 19 = -l - 4*y, -19 = -4*l + 3*y - 0*y. Let g be (2\/(-2) - 0) + -4. What is g*x(a) + l*v(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37124 and 2.\nAnswer: 37124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from lltqmmqqlwbll?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 119764 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6475.0405 + 6479. Let y = 0.0405 + b. Put 9, y, 5, 1\/4 in increasing order.\nAnswer: 1\/4, y, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 - 435\/7. Which is the biggest value? (a) 3 (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -82\/13 = -246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 25*d**2. Let x(v) = 47*v. Give x(t(r)).\nAnswer: 1175*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/52)\/((-5)\/(-2)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 10. Let n be r(-7). Let m = 20 + n. Solve 2*t - 2 = -4*d, m*t = -3*d - 4 + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 211 - 3?\nAnswer: 20c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2862 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**6\/360 - b**5\/120 + b**4\/12 + 149*b**3\/3 - 109*b. Let f(j) be the second derivative of p(j). Factor f(s).\nAnswer: -(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 1 + -14 - (-3 - (60 + 18))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g + 8 = 2*p, 0 = -3*g - 3. What is the highest common divisor of p and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2)*((q**(1\/3)*q*q)\/q)\/q)\/(q*q*(q\/(q\/q**8))\/q*q**(5\/3)) assuming q is positive.\nAnswer: q**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19203 and 8769?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1091 - -1770. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6898311, -6898303, -6898283, -6898245, -6898183, -6898091, -6897963?\n\"Answer: i**3 + i - 6898313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(968) - (-1 + sqrt(968)))*-3)*3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 + 8*b**2 + 5*b. Let o(k) = -k**3 - 5*k**2 - 3*k. What is 5*l(f) + 8*o(f)?\nAnswer: 2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 12 = -3*d, 5*p = -4*d + 2*p + 33. What is the hundreds digit of d\/(-9)*6 + 247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 8. Let c be i(5). Let x be (9\/3 - 2) + 1. Suppose -x*b - 10 = 0, -b - c - 2 = 5*q. Put 2, 4, q in ascending order.\nAnswer: q, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141 - 519 - 1436 + 4167)*((-2*k**2 + 4*k**2 - 3*k**2)*(-k + 0 + 0) + 0*k + 0*k + k**3 + k**3 + k**3 + 0*k**3).\nAnswer: 9412*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/9 and (-3)\/1 + (-43)\/84*2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 + -83. Let s be 2 + (-25)\/5 + (l - -2). Let k(h) = h**2 - 3*h. Determine k(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)\/sqrt(5))\/sqrt(4) - (sqrt(13) - (1 + sqrt(117) + sqrt(117) + sqrt(117))))**2.\nAnswer: 18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 11) in base 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -279, -274, -189, 6, 341?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1)*(-9)\/18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-15)*r*r\/(r\/r**(-8\/7))*r**13\/(r**(4\/11)\/r) assuming r is positive.\nAnswer: r**(-39\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 1:01 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = 2. Let w(c) be the second derivative of -c**3\/6 - 3*c**2\/2 + c. Calculate the remainder when r is divided by w(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14040 (base 13) in base 14?\nAnswer: d8b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**5\/3 - 44272*o**4 + 265600*o**3\/3 + 177088*o**2 - 1062464*o\/3 = 0.\nAnswer: -2, 0, 2, 33202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuuj when four letters picked without replacement from tioiyoiooouujiioo.\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57\/140 + -12\/35. Let x = 3 + 1. Let l be (2\/x)\/((-6)\/(-4)). Which is the nearest to -1? (a) z (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1674, -3358, -5042, -6726, -8410, -10094?\nAnswer: -11778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2563340505?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 5*t**8\/336 + 9*t**4\/8 + 15*t**2. Find the second derivative of p(i) wrt i.\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(7)*2) - (1*sqrt(17) + 3) - -2*sqrt(34)\/sqrt(2)*3.\nAnswer: -3 + 11*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(18)\/sqrt(3)*-2) - (-3 + (-1 + sqrt(2) + 2 - sqrt(2))).\nAnswer: -sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962879371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/136 and -11\/119.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2*o - 24 = 0, 2*x + 0*o - 21 = -7*o for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 161500596431370.\nAnswer: 161500596431370.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2 - 3*a + 3*a**2 - 2*a**2)*(a + 2 - 2).\nAnswer: a**3 - 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + z - 1. Let h(c) = -2*c**2 + c + 1. Let v(b) = 8*b**2 - 5*b - 4. Let y(l) = -9*h(l) - 2*v(l). Calculate -a(w) + y(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*j - 14 = u, 2*u - 4*j = 0. Suppose 0 = u*s - 5 - 35. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*f - 5. Suppose f*b - 20 + 2 = -2*c, 2*b + 3*c - 15 = 0. Suppose -b*s + 213 = -0*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/40 and ((-5)\/8)\/(24\/54).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3996 + -20.1696. Let b = 20 + f. Let n = -0.53 + b. What is the closest to 2 in 2\/3, n, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88152, -175601, -263050, -350499, -437948, -525397?\nAnswer: -612846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105554 is divided by 2453.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1052 and 185678.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - -1 - 0\/(-6). What is the second derivative of 7*u**2 - 7*u**z + 3*u**5 + 0*u**5 - u wrt u?\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 a when three letters picked without replacement from {a: 5, f: 11, w: 1}?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3936379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/6, -4, 3, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 14*n - 24. Let f be w(12). Suppose -2*s + 5*s + 6 = f. Suppose 5*k - t - 3 = -4*t, -4*t = -5*k + 31. Sort k, s, 0 in descending order.\nAnswer: k, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 4:45 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) - (-10)\/(-8). Let h = 6 - r. Suppose 2 = 2*o - 0*o. What is the greatest common divisor of h and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 1120133132132?\nAnswer: 1120133132200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5793 is divided by 1928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/1 - (-2 - 2). Let c = r + -23. What are the prime factors of (c\/8)\/((-1)\/8)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 0 - (-9)\/6. Suppose 0*i - 3*i - 5*v = 14, -26 = -3*i + 5*v. Which is the third smallest value? (a) i (b) 2\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -40*c**2 - 156*c + 22. Let a be r(-4). Solve 0 = 1209*i - 1207*i + a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (17 + -15)\/(56\/35812) a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*c + 5*c - 5, 3*h + 6 = 0. Let g(d) = d**3 + 2*d**2 + 1. Let s(w) = -1. Let l(f) = 2. Let m(v) = -l(v) - 3*s(v). Determine c*m(a) + g(a).\nAnswer: a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-172)\/344)\/(((-21)\/12)\/7). Which is smaller: -130 or y?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.4, 2\/3, -1, 0.2, -43?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7236100719 - -29.12.\nAnswer: -7236100689.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 144, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.05 + -0.05. Let v = -7.9 + q. Let f = 2.1 - v. Which is the third smallest value? (a) f (b) -3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78534 is divided by 3707.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 24*u + 2. Let g(b) = -107*b + 187*b - 80*b + 10*b**2 - 5*b**2. Calculate l(g(h)).\nAnswer: 120*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9251, -8051, -6851?\nAnswer: -5651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*((sqrt(6050)*-1 + 3 - sqrt(6050)) + ((sqrt(6050) + 0)*1 - sqrt(6050)))*-5)**2.\nAnswer: -45391875 + 1237500*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + sqrt(1053)*-2 + 5 - (((-2*sqrt(104) - sqrt(104))\/sqrt(8))**2 + sqrt(208) + 2)) + 3.\nAnswer: -111 - 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqtg when four letters picked without replacement from qhhltgqg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2, 1 + 30 = 5*s + n. Solve -3*m + 18 = s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 416695 by 409.\nAnswer: 416695\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 18. Calculate the highest common divisor of h and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((4*sqrt(80) - sqrt(80))*1)\/sqrt(10))\/(-4*sqrt(256)*1).\nAnswer: 3*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by -9 + -2 + (-330)\/(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 64*g**2 - 397*g + 34. Let c be m(11). What is the greatest common divisor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 12:56 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 63784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*d = 67*d + 2*q - 1048, -d + 4*q = -544. What is the least common multiple of 528 and d?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 19*u**3 - 3*u**2 - 2*u - 2. Let r(y) be the third derivative of -y**6\/12 + y**5\/30 + y**4\/24 + y**3\/6 - 3175*y**2. What is -4*k(c) - 7*r(c)?\nAnswer: -6*c**3 - 2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 993350 divided by -3?\nAnswer: -993350\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**22*x*x**(-12)*x*x assuming x is positive.\nAnswer: x**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12336016 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/(-4225)*-13 - (-356934)\/200. Let c = 2640 - 845. Let d = b - c. Find the common denominator of d and 39\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 4. Determine o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 37 + 22 - 546*c**2)*(3*c**2 + 2*c**2 - 7*c**2).\nAnswer: 1092*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 6*q - 2. Is m(8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1577\/988)\/(225\/(-2400)) + 17\/1?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111111 - 11010111?\nAnswer: -1001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2123 is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11703079 is divided by 11703057.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h - 1. What is n(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -598, -1138, -1630, -2050, -2374?\nAnswer: -2578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49743 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 4*i - 8. Determine v(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 103425, 101132, 97311, 91962, 85085, 76680, 66747?\n\"Answer: -764*g**2 - g + 104190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.852564 and 2974.\nAnswer: 2973.147436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 7328\/72 + -3*(-4)\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3*(-6)\/504*-35)\/(-10))\/(71\/8).\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/5))**(7\/2)\/(j**(-5)\/j)**(-23) assuming j is positive.\nAnswer: j**(-676\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135\/15 - (2 - 14\/6) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 227*k**4 + 7*k**3 + 1356*k**2 + k.\nAnswer: 5448*k + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -60925 divided by -12185?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - -2*sqrt(108) - sqrt(108))\/(sqrt(576)*1).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) 1 (c) -3174\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 168*a**3*q - 6*a**3 - 4*a*q + 58 wrt q?\nAnswer: 168*a**3 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-42) + 26\/7. Let r = 34 - 29. Suppose 125 = r*i + 3*f, i - 16 + u = 2*f. Calculate the remainder when i is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 40625 + 58236 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 42. Suppose 2*o = u*o - 6. Factor -141*t + 145*t - 3*t**o - t**2.\nAnswer: -4*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-79 - -136)\/(-741) - (3572\/1898 + -2)\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-3\/2)*v)\/(v*(v\/(v\/(v**(11\/3)*v)*v))\/v*v*v))**(-48))**9)**(-5) assuming v is positive.\nAnswer: v**(-13320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*t**3 - 5679*t**2 - 141638*t - 17616.\nAnswer: (t - 734)*(t + 24)*(8*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 16*b - 2*b**2 + 28 - 27)*(b**2 - 3*b**2 + 0*b**2).\nAnswer: 4*b**4 + 32*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**5 - 7*i**4 - 7*i**5 - 354 - 6*i**3 + 104*i**2 - 30 - 32*i.\nAnswer: (i - 4)**3*(i + 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23030*u - 23029*u + k = 37, -u + 31 = -k for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5.52 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 149 = -15*x + 5*y, 82 = x + 5*y. Let z be 1\/(-2) + 177\/2. Let b = z - x. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 1, -7, -2 in ascending order.\nAnswer: -7, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001048437213 rounded to 7 decimal places?\nAnswer: 0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.1, -2033, 104, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*u = -u - 21, 5*t + u = 19. Solve -2*d + 4 + t = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.709 - -44.419. Let f = -0.012 - 41.988. Let n = x + f. What is n rounded to 1 dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.39 * 0.25\nAnswer: 4.3475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22029 is divided by 1890.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10389 + -10380. What is the second biggest value in -5, 6\/7, 0, w?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28548 divided by 2196.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38935*l**5 - 3*l**2 + 454515*l wrt l?\nAnswer: 778700*l**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112998666 is divided by 5878?\nAnswer: 5872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*q - 4*p, -16 = -4*q + 3*p - 2. Suppose -q*j = 2*j - 60. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((42\/(-28))\/(360\/96)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -11*a**3 - 73*a**2 - 41*a + 6. Let c be w(-6). Which is smaller: c or 1\/2076?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 648 and 1080?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 197\nAnswer: 8\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24.90054*4.\nAnswer: 99.60216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12552 and 238096?\nAnswer: 373572624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2252 - 58 = -7*o. Does 33 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -23) + -11 - -28. What is the greatest common factor of 528 and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/21 and 69\/1022?\nAnswer: 3066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -21205 (base 7) to base 4\nAnswer: -1102000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**4 + 52*f**3 - 30*f - 6. Let i(x) = 2*x**4 - 103*x**3 + 59*x + 11. Let j(y) = -11*c(y) - 6*i(y). What is the second derivative of j(d) wrt d?\nAnswer: -12*d**2 + 276*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 9. Let n be h(8). Suppose n = 2*s - 47. Suppose 3*w = 9 + s. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -338*s**5 - 284518*s**4 - 1069118*s**3 - 1262698*s**2 - 561560*s - 83800 = 0?\nAnswer: -838, -2, -1, -5\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/9)*k*k\/(k**4\/k)*k**(-4\/11)\/(k*k**(-1\/6)\/k*k) assuming k is positive.\nAnswer: k**(-457\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + (sqrt(136)*1 - sqrt(136)))\/sqrt(4))\/(-1*sqrt(32) - sqrt(32)) + ((-2*sqrt(204)*1)\/(sqrt(12) + (sqrt(108) - -2*sqrt(108))\/sqrt(9)))**2.\nAnswer: -sqrt(17)\/8 + 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131154 (base 6) to base 9.\nAnswer: 17347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -2)*(4 + 5). Suppose -z = -3*v + 16 + 19, -v = -5. What are the prime factors of u\/4*z\/6?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from iiilviiivvpiivlllki.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1329, 1331, 1333, 1335, 1337?\nAnswer: 1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + d = 1 - 2, 4*d + 12 = 0. Let r(c) = -c**2 + 8*c - 3. Let p be r(7). Suppose -111 = -43*w + 104. Sort h, p, w.\nAnswer: h, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.647267 litres to millilitres.\nAnswer: 2647.267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*p**3 + 76*p**2 + 328*p\/3 + 112\/3.\nAnswer: -2*(p - 14)*(3*p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2689\nAnswer: -4\/2689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10873*b**2 + 5464*b**2 + 2*b + 5446*b**2.\nAnswer: 37*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -47 + 22 + (8 + -5 - 11)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/5 - 1622784*o**2\/5 - 4868379*o\/5.\nAnswer: 3*o*(o - 540931)*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31 - 41?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**4 + 8*s. Let w(z) = z**2. Determine w(q(u)).\nAnswer: 144*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2. Let z(s) be the second derivative of 215*s**4\/6 - 335*s. What is g(z(t))?\nAnswer: -369800*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*w = 32*w + 32040. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7288*x - 102076. What is k(14)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132 - 41144?\nAnswer: -41012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, 28, 68, 132, 226, 356, 528, 748?\n\"Answer: q**3 + 3*q**2 + 6*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27\/4 - 5215\/772. Let q be 0 - (-13 - 27965\/(-3860)). Let c = t + q. Do c and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 10*b = 5*b, -4*c + 12 = 2*b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -81\/10? (a) -4 (b) -1 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-10 - -5)*25)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13239125 and -296.\nAnswer: -13239421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9754 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136019?\nAnswer: 13, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 497867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -5*n + 3*n + 2, -2*n - 3*l - 2 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-39)\/21 + (-120)\/(-140). Suppose 61 - 69 = -2*k. Sort k, h, 1 in ascending order.\nAnswer: h, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from nbeih.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11199 - ((-18)\/(-6) + 2). Let n = -6275 + w. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*v + 5. Let c(g) = -3*g**v - g**3 + 2*g**3 - g**2 + 3*g + g**2. Calculate the remainder when c(3) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/(-1) - (135\/19 - 8).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -s + 1. Suppose 2*o = -2*o + s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29.94 - -1.44. Let f = -30 - r. Let k = f - -1.5. Are k and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -12558809982.\nAnswer: -12558809977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 85*l**2 + 45*l - 31. Give v(-2).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 118 and 0.1.\nAnswer: 11.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 51. Let n be q(-10). Let d(t) = 41*t - 80*t - t**2 + 3 + n*t. Determine d(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -472343730*k**3 + 9368194*k**2 + 1 wrt k?\nAnswer: -2834062380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + -10011111101?\nAnswer: -10100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -78, -470, -894, -1350, -1838?\n\"Answer: -16*b**2 - 344*b + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-15)\/180)\/((-5)\/(-25)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37353.69cm in nanometers?\nAnswer: 373536900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3477 is divided by 129.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 731902*p**2 - 7319004*p - 160 = 0. Calculate p.\nAnswer: -8\/365951, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(5) + (sqrt(8)*5 - sqrt(2)) - (3 + sqrt(22)\/sqrt(176)))**2.\nAnswer: -129*sqrt(2)\/2 + 1921\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**4\/12 + 7*q**3\/6 + 2*q**2 + 4*q. Let j(f) be the first derivative of k(f). Determine j(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1.96. Let b = 0.06 - c. Suppose -4*t = -0*t + 4. Sort t, b, 0.4 in descending order.\nAnswer: 0.4, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*w + 3. Suppose -5*o + 62*f = 65*f + 15, 4*f = 4*o + 12. Sort 8, w, o, 1 in increasing order.\nAnswer: o, 1, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001 + 110100010000111011?\nAnswer: 110100010000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*i**2 + 2*i - 19*i**2 + 75*i**2 - 18*i**2 + 205*i**3 - 20*i**2 wrt i.\nAnswer: 1230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u + 58. What is j(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 6*h**2 + 3*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 14. Suppose 4*m = 4*x - 84, 2*x + 4*m - 36 = -0*m. Suppose x = 5*o - 40. What is the lowest common multiple of o and z(0)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9*u - 15 = 0. Suppose 0 = -2*s - 5*m - 21, 2*s + u*s - m = 15. Suppose -s*z - 2*a = -2353 - 431, 0 = -5*z - 3*a + 6970. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 0\/(-4 + 3). Let o be ((-1)\/q)\/((-5)\/10). Let t(h) = 6*h - 1. Let i(j) = -12*j + 2. Let y(g) = -2*i(g) - 5*t(g). Determine y(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/4 + 3165*u**2\/4 - 624888*u - 1881792.\nAnswer: -(u - 1584)**2*(u + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 8:00 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -166 divided by 184126\nAnswer: -83\/92063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -15, 4, -41, 5, 28, -4 in decreasing order.\nAnswer: 28, 5, 4, -3, -4, -15, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67119345 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -581, 5, -2, 3 in ascending order.\nAnswer: -581, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/12)\/((1\/(-8))\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/1 - 4*1. Let b = 40.65 - 28.65. What is the nearest to s in b, -5\/6, -0.3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 39*g + 57. Let h(a) = -39*a - 58. Let l(c) = 2*h(c) + 3*k(c). Let d be l(6). Calculate the greatest common factor of d and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a**2 - 29*a - 41. Give u(-13).\nAnswer: 1519","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -421.45 - -436. Round p to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 9 - -16) + -26?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18909936 is divided by 968?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -362045453*q**6 - 117324000*q**2?\nAnswer: -43445454360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111573477 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/6)*x)\/x*x**(-2\/9)\/x)\/(x**(-6)*x**6) assuming x is positive.\nAnswer: x**(-1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 a when three letters picked without replacement from {a: 8, o: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1095)\/(-55) - (0 - -20).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (493*y**2 + 38*y + 59*y - 491*y**2)*(0*y - 2*y + 4*y) to w*y**2 + s*y**3 + q*y + t and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (5 + -9 + 12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1638 divided by -819.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -181.37 equal to 0.738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 10\/7 (c) 975\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/103, -7, 3, -2\/9, -3, 8\/11, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18496 by -17.\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*a + 38426 - 10817 + 90824 = 0. Calculate the remainder when a is divided by 97.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17904 is divided by 8901.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**7\/1260 - f**4\/12 + f. Let k(q) be the third derivative of t(q). Let i(d) = -3*d**2. Calculate k(i(b)).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-118)\/1121 + 519\/57.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 785625675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 8:48 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6424*u - 6524 - 3852*u + 6524 to g*u + k and give g.\nAnswer: -10276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150745775.\nAnswer: 3, 5, 23, 773, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.33 + -0.33. Let g be ((-2)\/(-5))\/((-4)\/8). What is the biggest value in -4, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -7 - -3) + 0 + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1653 and 488186.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 + q**3 - 3*q**3)*(2*q**2 - q**2 + q**2)*(-2 + 4 + 1).\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - ((-424)\/56 + 6))*(-1)\/(-808). Is l < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 + 0.9. Let w = -3 + 2. Let u = 658\/5 - 132. Which is the nearest to u? (a) 0.3 (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -3390?\nAnswer: 338b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 153 + -122. Sort m, 1, 4 in decreasing order.\nAnswer: m, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-14) - (-847)\/(-49). Let j = -14 - s. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*491386.\nAnswer: -1474158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -873\/4 - -1735\/8. Let t = 81\/56 + s. Is t smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**5 - 344*y**4 - 3344*y**3 - 7256*y**2 + 3340*y + 7600 = 0. Calculate y.\nAnswer: -5, -4, -1, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*o - 2 = -87*o + 2*q, 0 = -4*q - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001338 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 6) to base 2\nAnswer: -111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 101126?\nAnswer: 101132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 12:57 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + d + 12 = -38, 5*r = -2*d + 134. What is the remainder when 102 is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 39dc + 4?\nAnswer: 3a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300250 and 118.\nAnswer: 17714750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 + -107.699. Round w to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppnpptnptnnp. What is prob of sequence pptn?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3873 - 3872 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8305 - 4482 - 7385 = 492*r for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(726))\/sqrt(3) - (-4*sqrt(1078) + sqrt(22))\/sqrt(11))**2.\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 + -51. Let i = z + -5. What is the greatest common divisor of i and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -27. Let c = -6 + 8. Let v be (c\/6)\/((-3)\/(-99)). Calculate the greatest common factor of v and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14586420?\nAnswer: 2, 3, 5, 29, 83, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 22.6. Let l = d + 1.599904. What is l rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -78 + -1 + -4 - -4. Let b = -39 - n. Suppose 7*t = -b + 61. Solve -v - 7 = 4*q, -3*v - t*q = 2*q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggjgjojjggooggogggoo. What is prob of picking 1 g and 3 o?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 8. Let k be -2 + m + 6 - 2. Let n = 182\/225 + -2\/225. Put 1\/2, n, k in decreasing order.\nAnswer: n, 1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/10 and -119\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d + 7. Suppose -2*k = -5*q + 31, q - 19 = -4*q - 2*k. Let x(n) = 10*n + 18. Give q*x(l) - 12*o(l).\nAnswer: 2*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -1, 2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*t - 6, -j + 2*t - 4 = j. Let z(p) = 25*p + 198. Let r be z(-8). Put r, j, -5 in decreasing order.\nAnswer: j, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2264, -2091, -1838, -1487, -1020, -419, 334?\n\"Answer: 3*w**3 + 22*w**2 + 86*w - 2375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 369, -60, -9 in ascending order.\nAnswer: -60, -9, 7, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((-15)\/5 + 1). Suppose 4*t = 2*i - 122, -140 = -2*i - 5*t - d*t. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*g**2 + 30770*g + 10255.\nAnswer: 5*(g + 2051)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-3) + (1 - 1). Let t(p) = 7*p + 1. Let b be t(c). Suppose 49 - 155 = -5*r - 3*m, 0 = -5*m - b. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = k - 4*g + 5, -2*k - 14 = 3*g. Let v = k + 26. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -57*y**3 - 4242*y**2 - 1780*y - 316. What is o(-74)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 64 = 2*s. Let t(p) = p**2. Let r be t(2). Suppose 0 = -3*l - 4*c - 6 + 18, 0 = 2*l - r*c - 8. What is the highest common divisor of s and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 3 + 98\/(-60). Let x = s + 4\/5. Calculate the common denominator of x and 17211\/(-3030) - (-220)\/(-11110).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g = -84. Calculate the smallest common multiple of g and ((-112)\/(-14) - -20) + 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3506867593 to the power of 1\/2, to the nearest integer?\nAnswer: 59219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 57519568 to the power of 1\/3, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163 by 11.\nAnswer: 163\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*t = -1085 + 8483 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k**2 + 8*k - 5. Let c(m) = -17*m**2 - 17*m + 11. Calculate 6*c(s) + 13*y(s).\nAnswer: 2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a + 10. Let s be 6*(-10)\/6*2. Let c be (4 + s)\/4 + 12. Is v(c) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4705 divided by -4141?\nAnswer: 4705\/4141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 404 + -1341880150733.\nAnswer: -1341880150329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9427195?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-1)\/(-3)*3864\/(-368).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/25)*o*o**(-6)*(o**(-2))**(2\/59) assuming o is positive.\nAnswer: o**(-7593\/1475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7038\/1530)\/((-3)\/(-15)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -243445?\nAnswer: -243444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-13 - 0) + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s + 77 - s**2 + 0*s - 77. Let i(m) be the third derivative of -1\/30*m**5 + 0*m + 0*m**4 + 0*m**3 + 0 - 21*m**2. Determine n(i(h)).\nAnswer: -4*h**4 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a millimeter in micrometers?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 9*m**2 - 4*m - 17. Let f(a) = 9*a + 65. Let p be f(-8). What is the tens digit of b(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -28 + 28 + 3*k. Let h(z) = -9*z. Let a(x) = -3*h(x) - 8*t(x). Let p(c) be the second derivative of 5*c**4\/6 - 36*c. Give a(p(d)).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426592 is divided by 2437?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 24 = 4*g - j, -3*j + 3 = 4*g. Is 37*(10 - g) + 5 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4722 and 4724 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41932 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**0\/m))**(2\/57)\/(m\/m**(1\/4))**(-14)*(m**(-9)\/(m*m**(2\/5)\/m*m))**9 assuming m is positive.\nAnswer: m**(-47327\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9291 = -5*i + 1299. Let r = i + -1213. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 150*o - 132. Let l be k(1). Let m(u) = 6*u - 106. Give m(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 345648 + -41.0533\nAnswer: 345606.9467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 15 + 122*a**2.\nAnswer: 122*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 33 - 33*t + 3*t**2 - t + 33 + 40*t + 10*t**2.\nAnswer: 14*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 222c (base 13) in base 12?\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34646, 69202, 103758, 138314, 172870, 207426?\n\"Answer: 34556*d + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, 6610 in increasing order.\nAnswer: 0.4, 5, 6610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -19*g**2 + 274*g + 5376. What is z(-11)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozo when three letters picked without replacement from zoczocczoczc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 65.61462 months?\nAnswer: 5.467885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 20, 32, 48, 68, 92, 120?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 306.70229 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*j - 3, -3 + 0 = 4*g + 3*j. Suppose g = -6*v + 172 + 482. List the prime factors of v.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -9*q + 1200. What is the highest common factor of 560 and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*q + 3. Suppose 2*y - q = -2*y. Let l be 5 - 3\/6*-78. Calculate the highest common divisor of y and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -123544599 or -123544598?\nAnswer: -123544598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 18*f**2 + 20*f + 27. Let i be x(-19). Let p be (2 + i\/(-3))\/(18\/(-81)). Solve 0 = -3*c - 5*o - 14, -p*c + 10 = -o - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 752, 2\/11, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 7*i + 10*i - 25, 3*s - 37 = -4*i. Suppose -2*t + 4*l - s + 15 = 0, -24 = 2*t + 3*l. Let w(v) = -v**3 - 6*v**2 + 3*v + 3. What is w(t)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/1*((-3)\/2 - -2). Let d be ((-4)\/10 + y)\/((-1)\/20). Solve u = -d*w + 5*w - 10, 0 = 2*u + 4*w + 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220 times -3.7\nAnswer: -814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9980.32 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.17487l in millilitres?\nAnswer: 9174.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.001 (b) -1.4 (c) -1.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2752 is divided by 60.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -633*t**2 - 1231*t**2 - 426*t**2 + 52*t**2 + 1947*t - 351*t wrt t.\nAnswer: -4476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnb when three letters picked without replacement from {n: 2, b: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4222931, 8445860, 12668799, 16891754, 21114731, 25337736?\n\"Answer: h**3 - h**2 + 4222925*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5680*s**2 - 28391*s**2 + 5676*s**2 + 5675*s**2 + 5679*s**2 + 5673*s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:43 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8500524 and 823308.\nAnswer: 5244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 7. Let s be (40 - 0) + 1 + h. Let w = s + -17. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 250*w + 1730 wrt w.\nAnswer: 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242)*-1 + (sqrt(16)\/sqrt(4))\/sqrt(2).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1246*n - 1230*n = -128 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 3745451774?\nAnswer: -3745451775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 + 4*a**2 + 27*a + 23. Is x(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 0 (c) 0.04435 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0*g - 47001*g**2 + 46428*g**2 - 2*g to the form o + p*g + y*g**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30, 92, 216, 420, 722, 1140, 1692, 2396?\n\"Answer: 3*o**3 + 13*o**2 + 2*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**7\/2520 + n**6\/540 - n**5\/360 - n**3 - 9*n**2. Let v(z) be the first derivative of d(z). Factor v(t).\nAnswer: -t*(t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67284 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 10*m - 10. Which is smaller: m or 12?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51829 + -31166. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 b when three letters picked without replacement from {f: 1, j: 1, i: 4, z: 4, q: 2, b: 3}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10585 - -10737. Calculate the greatest common divisor of 1026 and x.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198000 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 10*b**2 - 7*b - 3. Let a be n(11). Suppose 4*w + w - f = 56, -a = -4*w - 3*f. Sort -0.4, 1\/2, -0.1, w in descending order.\nAnswer: w, 1\/2, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**3\/6 - 9*s**2\/2 + 25*s. Calculate r(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2581292 divided by 20?\nAnswer: 645323\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154051 and 889.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - j - 4. Let f be g(3). Let o(h) = -4*h**2 + 2*h - f*h. Let v(i) = 7*i**2 + 15*i**2 - 2 + 2 - 17*i**2 - 3*i**2. Calculate o(v(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*q - 208*q - 4 = 0. Factor 23 + 36*r + 3*r**q + 22 - 12.\nAnswer: 3*(r + 1)*(r + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17426 (base 8) in base 4?\nAnswer: -1330112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15158\/(-253) + 48 + 14 + -2 + 0.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.07 - -0.07. Let r = 0.19 - -0.11. What is the closest to r in t, -2\/17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 48.074. Let p = j + 46.074. Let b = p - 45.82. What is b rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 19215*z - 771808. What is v(40)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5134 - -215611\/42. Let y = j + -1\/6. What is the third biggest value in 0.5, 4\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 39064 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 892267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1.3 (b) -3 (c) 3\/7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1510170, 1510210, 1510250?\nAnswer: 1510290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**7\/30 - o**5\/30 - 8*o**2. Find the third derivative of m(y) wrt y.\nAnswer: 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28003 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 14 - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 346 + -26.72\nAnswer: 319.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 6*z**2 + 10*z - 5*z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u - 809 - 235. Let d = 92 + u. Suppose -43 = d*f - 83. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858518853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, y: 1, k: 1, x: 2, q: 1, o: 5}. Give prob of picking 1 y, 1 x, and 1 o.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 12.97. Let v = 2.03 + d. What is the nearest to -1 in 0.5, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - n = 9*d + 12, d + n + 6 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -25, -2.3, -2\/37, 2\/5, 39?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2*v = 2, v - 32 = -4*f - 24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/12*3*(-9)\/(-6). Let o be (m*2\/(-2))\/(15\/(-20)). Let p(s) be the second derivative of -s**3\/3 - 5*s**2\/2 - 3*s. Determine p(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 6*t = 210. Let j be 63\/(-6)*t\/15. What is the tens digit of 4\/(-3)*3\/(-2) + j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1 (b) 4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -60. Let o = w - 7. Suppose -3*z = -3*i, 2*z - o = -5*i + 9. Solve 2*u = -5*j - 28 - z, -u - 3*j = 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.814 + 0.14\nAnswer: 5.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787 is divided by 91.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004588565 to four dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcvimccvcivvvcvcv. Give prob of picking 1 i and 1 v.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*z**3 + 152*z**2 - 464*z + 160.\nAnswer: 4*(z - 2)*(z + 10)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q - 45. Let w be c(-10). Suppose 5*s - 3*s = 0. Let z = -804 + 808. Solve -7*a + w*a - z = s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 15*f + 2. Let o be h(-2). Calculate the common denominator of 23\/27 and 16\/o + (-278)\/420.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/7, 12, -191, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 37*d**3 - d**2 + 2*d - 1. Let l(r) = 3*r + 6. Let b be l(7). Suppose 5*n = -2*j + b, -n - 6 = 4*j - 3*n. Is t(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0261208 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3 - 246*c + 0 + 0 - 5. Let g be k(-1). Suppose -2*r - d + g = 0, -5*r + 3*d + 602 + 30 = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i - 6*i)*(-i**4 + i**3 + 0*i**4 + 2*i**3) + (-2*i + 1 - 1)*(4*i**4 + 4*i**3 - 4*i**3) - 3*i**5 + 5*i**5 - 4*i**5.\nAnswer: -5*i**5 - 15*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16008, 127704, 430860, 1021200, 1994448, 3446328?\nAnswer: 5472564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2. Let u(a) = 4*a**2 - 53*a + 5. Let h(w) = -4*w**2 + 79*w - 8. Let c(y) = -5*h(y) - 8*u(y). Give c(i(k)).\nAnswer: -48*k**4 - 58*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 7*o - 981. What is the second derivative of -671*a - 41*a**4 - 19*a**4 + 759*a - o*a**4 wrt a?\nAnswer: -2028*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38313617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-94)\/(-18) + 6\/(-27) + 1. Suppose -937 - 1181 = -v*h. List the prime factors of h.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -690570 by -1.\nAnswer: 690570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 14 + 6)*(-17 + 16 - 6*u - 2*u) + 11*u + 3*u + 10*u.\nAnswer: -112*u - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6521 + -4614. Does 37 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -1. Let a = p - -2.2. Let s = a + -1.69999965. Round s to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44, -50, -60, -74, -92, -114, -140?\n\"Answer: -2*t**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.8696 - 0.0184. Let y = 0.312 - h. Round y to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**4\/7 - 1245*z**3\/7 + 7299*z**2 + 2372061*z\/7 - 2421906\/7 = 0.\nAnswer: -449, -29, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + 15. Let j be -3 - -3*(-2 + 4). Suppose j*f - 5*x - 10 = 0, x + d = f + 5*x. Solve 2*b - 5*b + f = -2*t, -4*t - 20 = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 0*n**2 + 71*n**3 + 2*n**2.\nAnswer: 71*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 34 = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102445 - -3105114?\nAnswer: 3002225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-52)\/(-24) + (-2)\/12. Suppose h*x = v + 3, v + 2*x = 7 + 2. Let q = -1 + 1. Solve q*t = v*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 34*q - 28*q - 15 + 6. Let m(y) = y - 1. Let g(b) = -d(b) + 4*m(b). What is g(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*k + 818 = 0, 5*k + 14 = 4. Suppose -4*x = -4*u - 308, i - 8 = 5*x + 5*u. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.5 + -7. Let r = 2.5 - v. Let s = 6 - r. Which is the smallest value? (a) s (b) -1\/6 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwi when three letters picked without replacement from {c: 2, w: 4, i: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185592700 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -221715 or -221770?\nAnswer: -221770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 587 - 596*c + 556 + 577 - 1720.\nAnswer: -596*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((5 + sqrt(405) + sqrt(405) + 1)*3 - (-2*(sqrt(405) - (sqrt(405) + sqrt(405) + 0)) + 2))**2.\nAnswer: -6736 - 1152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -4. Let p = 2.51 + 0.29. Let g = p + 0.2. Which is the nearest to 0? (a) -1 (b) n (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c = 27*c - 6. Let w be c\/5 + (-966)\/(-15). Suppose 4*o - w = 132. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 3*k**2 - 2*k)*(16*k - 48 + 48).\nAnswer: 48*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -21. Let m = 68 + -62. Find the third derivative of -8*y**m - c*y**2 - 3*y**3 + 0*y**2 + 3*y**3 wrt y.\nAnswer: -960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gavvjvgpjjv. What is prob of sequence vg?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*o**3 - 306554*o**2 + 16*o - 171383.\nAnswer: -72*o - 613108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 divided by 8?\nAnswer: 67\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/9 + 52*p**3\/9 + 1157*p**2\/9 + 368*p\/3 = 0. Calculate p.\nAnswer: -16, -1, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6936 times -0.029?\nAnswer: 0.0201144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -105.1677 and -0.2?\nAnswer: 104.9677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -984158, -984143, -984114, -984065, -983990, -983883, -983738?\nAnswer: -983549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m**3 - 7*m**2 + 3*m + 10. Determine v(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-14))**(-2\/45) assuming s is positive.\nAnswer: s**(28\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*t**2 - 739*t**3 + 108*t**2 + 160*t**3.\nAnswer: -579*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*a - 111*a = -374 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.26*0.3.\nAnswer: 6.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 34*d - 254. Calculate x(-27).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1565953 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**5\/30 + z**2. Let m(i) = 5*i - 4. Let f(u) = 14*u - 11. Let c(n) = 4*f(n) - 11*m(n). Calculate g(c(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 - 5197*u + 5197*u. Let o(q) = 27*q + 14. What is o(z(i))?\nAnswer: -54*i**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.41997224 + -14.42. Round k to six decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8140318.\nAnswer: 2, 79, 51521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 91*j. Let q(t) = -29*t**2 - t + 3. Determine q(b(v)).\nAnswer: -240149*v**2 - 91*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14478476851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 127623 divided by -6717\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 + 9612*u - 10749024 = 0. What is u?\nAnswer: -5742, 936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 10) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**6\/10 + k**5\/60 + k**4\/24 - 3*k**2. Let j be f(3). Let o = j - -451. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13, -20, -27?\n\"Answer: -7*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21537 - 21533. Which is the fourth smallest value? (a) -5 (b) -225 (c) j (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 4 = 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/52, -1\/11, -4, -2\/19?\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6*-3)\/((-1)\/(-1 + 2)). Suppose -14*a = -y*a - 28. Let g(f) = -f**3 - 7*f**2 + 3*f + 2. Calculate g(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 209024\/(-14697)*18\/4\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/24 and 115\/252894?\nAnswer: 1011576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10164347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 2 - 1)*(f + 2*f - 4*f) - f - 66*f - 356*f)*(f + 3*f + f) to the form t*f + w + a*f**2 and give a.\nAnswer: -2125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 31. Let s = -5.67 - -5.68. What is the second smallest value in -0.2, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = -i. Suppose -3*r + 5*j = -31, -5*j - 5 - 16 = 2*r. Let h be r\/(-3)*6\/(-1). Solve 2*d = -i - h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 599 + 1817 = 4*m, -5*m = -3*l - 1531. List the prime factors of 2\/(-5*(-1)\/m).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4224, -1, 0.3, -1\/4 in increasing order.\nAnswer: -1, -1\/4, 0.3, 4224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-55)\/600*300\/(-24) and -29\/72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 8*r**2 + 4*r - 8. Give f(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-212 - 81*v + 443 - 220)*(0 - 1 + 4) to o*v + u and give o.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jguuujuggjjjjgj. What is prob of picking 1 j and 1 g?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 208, 286, 382, 496, 628, 778?\n\"Answer: 9*l**2 + 51*l + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 1)\/(9\/2 - 4). Solve q*r - 6*r - 18 = 2*v, -3*r = 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.62507 litres in millilitres?\nAnswer: 23625.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 11*i - 8. Let h be v(8). What are the prime factors of h\/(-40) - 244\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 0 + 0*t**2 + 11\/12*t**4 + 7\/6*t**3 + 6*t. What is the second derivative of i(v) wrt v?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a6496a + 4?\nAnswer: 3a6496e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {o: 1, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -18*j**3 + 9*j**2 - 24*j - 265. List the prime factors of n(-10).\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -565342, -565333, -565320, -565303, -565282, -565257, -565228?\nAnswer: -565195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 - 10324?\nAnswer: -10359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -43*q - 3. Let z = -6 + 4. Is g(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 7. Suppose 0 = 7*w - 4*w - 3*f + 3, 0 = w - 2*f - 3. Let n = w + u. Which is the nearest to n? (a) -1 (b) 2\/15 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-756)\/90)\/((-57)\/950*5).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -359 = -6*q + 3*q - r, -3*r = 12. Let u be (-2)\/(-4) - (-126)\/12. What is the greatest common divisor of u and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 6. Let h be l(-3). Suppose 5 = 2*o + u, 0*o = 5*o + h*u - 15. Suppose 4*n = -o*n + 20. Solve n*p - 2*p = -6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53897296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/(-8*(-8)\/(-21504)). Solve 177*j + 54 = g*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 470 and 102040.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -272289677*g**4 + 13117*g**2 + 455*g - 5.\nAnswer: -6534952248*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 1, k: 1, i: 2, e: 1}. Give prob of sequence kv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**3*s**3 + 315*r**3*s**2 - 14*s**4 wrt s.\nAnswer: 6*r**3 - 336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161257988 and 2996?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*2*(-243)\/(-6). Let h = c + 96. What is the remainder when h is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x = 16*x - 8. Find the first derivative of -11*p - 5 + x*p + 10 + p wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -18. Suppose 10*j + 2*k - 34 = 9*j, -4*j - 5*k + 139 = 0. Suppose 27*w + 180 = j*w. Calculate the least common multiple of w and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 383 - 380. Let k(f) = f**2 + 18*f + 47. Let l be k(-15). Solve -5*d = 5*c + 45, 0 = -4*c - y*d - l*d - 41 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -271*f**2\/2 - 198*f - 12. Differentiate a(u) wrt u.\nAnswer: -271","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + a = -25, 3*a + 4 - 14 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 2 - 4*h)*(7*h**3 - 2*h**3 + h**3) in the form r + o*h**2 + d*h + k*h**3 + b*h**4 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 15, -43, -4 in descending order.\nAnswer: 15, -4, -34, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-161 - 6*i - 2*i**2 + 352 - 163)*(5*i - 4*i + i)*(-2 - 4 + 9).\nAnswer: -12*i**3 - 36*i**2 + 168*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001367 to six dps.\nAnswer: 0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2288045*n. Let q(s) = 2*s. What is o(q(x))?\nAnswer: -4576090*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1 + (-2 - 1 + 1)*(2 - 2 + 1))*(-3*d**3 + 2*d**3 + 3*d**3)*(-3 + 4 - 3).\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 15*k**2 - 14*k + 17. Let n be f(14). Differentiate n*b**3 - 101*b + 101*b + 21 with respect to b.\nAnswer: 51*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = -3*z. Let m(g) = -g**3 + 4*g**2 + 7*g - 5. Is m(z) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67 - 94*n + 21 + 96*n to the form i + q*n and give i.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 15 - 0. Suppose -w*l - 3*z + z = -77, -2*l + 4*z = -62. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-8))\/((-6)\/4). Let x = 292\/1969 - -6\/179. What is the closest to 1\/2 in f, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(3\/10)\/w)\/w*w)**(-2\/19)\/(w*(((w*w**3*w)\/w)\/w)\/w*(w\/(w*(w\/(w**(2\/15)*w)*w)\/w))\/w) assuming w is positive.\nAnswer: w**(-617\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z + 3 - 15 + 7 + 5.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3155 (base 6) to base 5\nAnswer: 10334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 35073687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/13 or -274840.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171004 = -28*q + 345092. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 5*t**2 + 3*t**2)*((1 - 3 + 0)*(2*t + t - t) + t + 2*t - 2*t) + (4*t**3 - 2*t**3 - 3*t**3)*(6 - 6 - 7).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-30))\/(8\/(-20)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -3) + 4 + -32. Let m = -27 - l. Let j(u) = u**3 + u + 2. Give j(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 - 9*x**3 + 17517*x**2 - 33780*x**2 + 16263*x**2.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396 - 3*b + 400 - 796.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -6. Let l(p) = -p**2 - 6*p + 3. Let f be l(n). Find r, given that r - r**f + 0*r**5 + r**5 - r**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -3651135?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 326023 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 390 + -354 - (0 - -4).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (-4 - (-6 + -33)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 193\/106680 - -3\/1016. Let q(z) be the second derivative of -3\/50*z**5 + 2\/75*z**6 + 0*z**2 + 1\/15*z**4 - 1\/30*z**3 - 6*z - s*z**7 + 0. Solve q(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 13*m**2 - 117*m - 46. Let z be h(-19). Solve 2*i = -r + 4, -3*i + 2*r - 5 + z = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shw when three letters picked without replacement from {h: 4, w: 3, s: 6}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3)*(-9)\/75)\/((-26)\/104)\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.353 - 0.493. What is the second smallest value in 3\/2, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) -3\/5 (c) 0.3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (((sqrt(294)*2)\/sqrt(6))\/sqrt(7) - 6*sqrt(70)\/sqrt(160)))*-6*-6.\nAnswer: 18*sqrt(7) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (324\/(-60))\/((-21)\/35). Let c(f) = -f**2 + 10*f + 2. Calculate c(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 31, 44, 57, 70?\n\"Answer: 13*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 5*p**8\/14 - 7*p**5\/5 - 473*p**4\/12 + p**2\/2 - 1284*p. What is the third derivative of f(r) wrt r?\nAnswer: 2400*r**3 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.79407mg to grams.\nAnswer: 0.00779407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 2*i - o = -15, 5*i + 45 = -4*o. Let h = -2 - i. Suppose -8 = 3*w + 4, 5*q = -4*w - 21. Sort 4, h, q in descending order.\nAnswer: 4, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-36) - ((-4298227)\/72612 + 1\/9)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/((-3)\/146637*1). Is (-4)\/3*u\/(-84) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 55*l**2. Let k(q) = 22272*q**2. Calculate k(h(d)).\nAnswer: 67372800*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 138 + 78 = 0. Suppose -a - m = 3*a. Let l = -17 - a. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 14*k + 29. Let v be s(-12). Suppose 0 = -3*c + v*c - 682. Let n = c - 200. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11463313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 + -13 + 21 + 1 + -3 + 12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v - 34. Suppose 0 = -12*r + 16*r - 3*z - 9, 4*z - 22 = -6*r. Calculate f(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -10 + (6 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + sqrt(6)\/sqrt(2) + -3))**2*6.\nAnswer: -2400*sqrt(3) + 10050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15319 divided by 260?\nAnswer: -15319\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v. Let p(z) = -z. Suppose -2*x = -5*q - 72, 5*x + 5*q - 312 = -62. Suppose 0 = -4*i + 130 - x. Let u = i - 20. Give u*p(o) + s(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(14*12\/672*(-8)\/6)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/10)\/((-3)\/(-36)). Let b be 6 + 0 + (y - 7). Solve -b*n + 6 + 9 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 + 13 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 22 = 2*r - 4*i, -5*i - 30 = -5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101\/82 - 10175\/7462. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 17 = -3*u - 10, 3*f - 3*u = -27 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 267*o**3\/5 - 822*o**2 + 8307*o\/5 = 0. Calculate o.\nAnswer: 0, 213\/89, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*d + 15. Suppose -1 = 4*q - d. Let n be ((-360)\/(-320))\/((-6)\/8). What is the closest to 2 in -5, n, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*b - 1 - 11 = 0, -3*m + b = 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9*o = -60. Suppose 3*m = -m + o. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/(5\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x + 42. Let h be n(-6). Let i be (30\/12)\/(-1)*-2. Which is the nearest to 0.1? (a) -3\/2 (b) i (c) h (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 4*k**2 - 2*k - 2. Let f(z) = -4*z + 111. Let t be f(27). What is d(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -940 in 1.3, -3, 2, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 10 - 8 = f, -5*f - 6 = 3*j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -88, -854, -2288, -4390, -7160?\n\"Answer: -334*m**2 + 236*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11155810 a multiple of 3652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 2. Let s be n(-2). Let r be 0 - (0 + (s - 0)). Let u be (1 + r)\/2 + 0. Are u and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-398*z**2 + 5 + 739*z**2 - 377*z**2)*(-6 + 2 + 1).\nAnswer: 108*z**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -3.8\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.26 + -97.74. Let w = -99.66 - f. Let c = w + 1.847. What is c rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14641*c**5\/4 + 2299*c**4 - 43562*c**3 + 30976*c**2 + 32452*c + 5776 = 0. Calculate c.\nAnswer: -4, -38\/121, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*-6*(-1)\/12. Suppose 4*w - l*y = 79, 3*y = 3*w + 5*y - 42. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 13 - -3 - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1044\/5*x + 136242\/5 + 2\/5*x**2.\nAnswer: 2*(x + 261)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1604.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**4\/2 - 550*d**3\/3 - 547*d**2 - 546*d + 4538. Determine f, given that v(f) = 0.\nAnswer: -273, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**10)\/(w\/(w\/(w*(w*w\/(w**(-3)\/w)*w)\/w*w)*w))*((w\/(w**(-3\/5)\/w))\/w)\/(w*w\/w**(-2\/17)) assuming w is positive.\nAnswer: w**(-1404\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -17 + 2. Suppose -4*b + 10 = -r - 10, -y*b = 2*r - 15. Let m = 24 + -28. Which is greater: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 + -106. Let a be -1 - (0 - (2 - w\/(-1))). Let g = 8 - 7. Sort 3, a, g in decreasing order.\nAnswer: 3, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h\/h**8)\/h))**(-4\/15)\/(h**(4\/5))**(11\/4) assuming h is positive.\nAnswer: h**(-73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1402 - 3\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 169206595 to the power of 1\/3, to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 11:35 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-152)\/6)\/((-2)\/(-9)*-3). Let m = a + -28. Differentiate 0 + 13*s**3 - 8*s**3 + m*s**3 - 17 wrt s.\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119650 - 76437.\nAnswer: -196087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73 in -645, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8866*n + 8847*n - 17661*n.\nAnswer: 52*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212417?\nAnswer: 37, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 0*m**3 + 0*m**2 - 1\/12*m**4 + 1 + 0*m. Factor q(o).\nAnswer: -o**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*x + 172*x - 214 + 4*x + 251 as z*x + n and give n.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.3 - 7.3. Sort -1\/7, h, 5.\nAnswer: h, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2738 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: Suppose -3*p = -3*o + 2*o - 9, 5*o + 15 = 0. Solve 5*d - p = -27 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 3*x**4\/4 + 4*x**2 - 6*x - 6966. Let w(b) = -2*b**3 - 9*b + 7. Give 7*h(t) + 6*w(t).\nAnswer: 9*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46935316.\nAnswer: 2, 53, 221393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**5\/60 + 3*g**4\/8 - g**3\/6 + 10*g**2. Determine v(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 42169326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*k = 28, 4*k = 6 - 22. Let y(l) be the first derivative of l**3\/3 + l**2 + 2*l + 2. Let m(q) = 6*q**2 + 11*q + 11. What is u*m(c) + 34*y(c)?\nAnswer: -2*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 3430\/76287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 52*w**2 - 7*w + 7. Let z be f(-10). Let g = z - 3304. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233973729 a multiple of 455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -16*u**3 + u**2 - u - 2. What is the remainder when 61 is divided by l(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -102815, -102809, -102817, -102845, -102899, -102985, -103109, -103277?\n\"Answer: -q**3 - q**2 + 16*q - 102829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3907 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45212413*y**3 - 6*y**2 - 21136124.\nAnswer: -271274478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.89 + -22. Let s = j - 0.17. Round s to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1976296?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 8*z - 22. What is k(8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 9*p - 12*p + 4*o, 2*o + 6 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -696 - -2120\/3. Let g = 10 - z. What is the smallest value in g, 1\/6, 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -3*u + 5, 1150*u = 3*c + 1149*u + 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41472 by 8.\nAnswer: -5184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1072, 896, 720, 544?\n\"Answer: -176*h + 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 640 and 93.\nAnswer: 59520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 1 + 9, 5*l - 2*v - 16 = 0. Solve 3*b - b = -l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.242 to two dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.621 - -3.379. Which is the smallest value? (a) 3.7 (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3. Suppose -3*j - j - 2*b - 112 = c, 5*j - 3*b + 151 = 0. Let v = -21 - j. Calculate the lowest common multiple of 10 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.03 - -0.03. Let o = -6.9 - b. Put -2, 5, o in descending order.\nAnswer: 5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/14 and 37\/892.\nAnswer: 6244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 384814094 a multiple of 313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12491680 to the power of 1\/2, to the nearest integer?\nAnswer: 3534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 3*z - 13*z)*(3 - 13 + 0 - 31*z + 39*z).\nAnswer: -96*z**2 + 120*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 250*o - 4. Let h be u(3). Suppose a = -a + h. Let w = -168 + a. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 503 = y, 5*h + 986 = 2*y + 9*h. Calculate the least common multiple of 497 and y.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12417.2 - -6776.572.\nAnswer: -5640.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = -2*u, -5*c = 3*u - 8. Let p be -34*((-2)\/(-4))\/(-1). Suppose 23 = 3*a - 2*y, -c*y - p = -4*a + 15. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 5*a - 23)*(-4 + 1 + 2)*(-3*a - 3*a + 4*a) + (3*a + 3*a - 5*a)*(-3*a + 0*a + a).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 781*r**2 + 20*r - 1. List the prime factors of d(2).\nAnswer: 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 75299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -538, -894, -1332, -1870, -2526, -3318, -4264?\nAnswer: -5382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 0*y + 4*y)*(4 - 4 - y) + (3*y**2 - 3*y**2 + 2*y**2)*(160 + 1201 + 1111) to z*y + n*y**2 + c and give n.\nAnswer: 4942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2953\/3245 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 443539 divided by 7.\nAnswer: 443539\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwf when three letters picked without replacement from wwwwfwww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + t**3 + t**4 - t**3 + (392 - 392 + 279*t**3)*(7*t - 37 + 37).\nAnswer: 1954*t**4 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-15)\/(-45) + (-4)\/(-6). Solve -6 = -n*o - 0*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 7:06 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3 - 2 + 1 - 1 + (3 - 1 - 1)*(3 + 0 - 1) + 2 + 3 - 3 + 3 - 6 - 2)*(g - 5 + 5).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3627, 1228, 2?\nAnswer: 1228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -192*h**5\/7 + 256*h**4 + 8452*h**3\/7 + 1286*h**2 + 182*h = 0.\nAnswer: -7\/4, -1\/6, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1175 + -989. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 4*b - 2*b**2)*(4*b**3 + 0*b**3 - 5*b**3) - 4*b**2 + 4*b**2 - b**5 - 2*b**5 - 4*b**5 - 2*b**5.\nAnswer: -7*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3862 + -3862.4. Sort 7, k, 0, 0.1 in decreasing order.\nAnswer: 7, 0.1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2269 - 828. What is the remainder when q is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1012*v + 3. Let z be a(-5). Let k = z - -50523\/10. What is the common denominator of k and 89\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41 and -1.81?\nAnswer: 74.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.273065 nanoseconds in minutes?\nAnswer: 0.00000000027121775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -339*r**5\/10 + 213*r**4\/4 + 2*r + 48. Find the third derivative of u(d) wrt d.\nAnswer: -4068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, o: 8, r: 5, e: 2, f: 1}. Give prob of picking 2 o, 1 f, and 1 l.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -177563, -355188, -532883, -710654, -888507?\n\"Answer: -g**3 - 29*g**2 - 177531*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 16900482?\nAnswer: -16900486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m**2 + 2*m - 1. Let k be t(-2). Let g(a) = -9*a - 66. Let p be g(10). Let b = p + 251. What is the greatest common factor of b and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 6 + 4. Put 1.2, d, 2\/7 in ascending order.\nAnswer: 2\/7, d, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 6*o**2 + 4*o + 6. Let l be t(5). Let j be l\/(-3 - 26\/(-8)). Suppose -j*y + y - 4*x + 1249 = 0, -5*x = -4*y + 1686. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3201 + 3205.28. Round a to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 46.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 7*c**6\/360 + c**5\/10 + c**4\/3 - 12*c. Let p(x) be the third derivative of i(x). Differentiate p(f) wrt f.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 541?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**2 + 4*o**2 - 8*o**4 - 8 - 6*o**2 with respect to o.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**2\/5 + 81*s\/5 + 78\/5 = 0.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1963*a + 18746.\nAnswer: 1963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 332, 495, 658, 821, 984?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19110, 38537, 57964, 77391, 96818?\nAnswer: 116245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1903159.67 times -4?\nAnswer: -7612638.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 68?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -0.4, -2301, 25, 2\/11, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.2. Let i be (-39)\/18 + 325\/(-390). What is the nearest to g in 3, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323831106 to the power of 1\/2, to the nearest integer?\nAnswer: 36384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/4 - -5\/4. Let c(x) be the second derivative of -x + 1\/3*x**3 + 0 + q*x**2. What is the first derivative of c(f) wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -11*s - 114. Let w(y) = -5*y + 1. What is 3*q(r) - 6*w(r)?\nAnswer: -3*r - 348","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 + 83. Let l(m) = -4*m**3 - 10*m**2 - 4*m - 1. Let j be l(t). Let b = 420 - 159. Calculate the highest common factor of j and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n + 132 = 51*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -3, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, 1, -38, 7, -10 in decreasing order.\nAnswer: 14, 7, 3, 1, -10, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 283549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/2, 1, 148\/235?\nAnswer: 148\/235","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -726.379202 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.64672 to 2 decimal places.\nAnswer: 4.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 227 = -2*t + 3*h, 0 = 3*h. Let i = 462 + t. What are the prime factors of i?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1293*g - 139576. Determine t(-108).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 8. Suppose 5*i - b*y = -3, 3*y - 9 = -3*i - 0*y. What is the biggest value in i, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cffflxxznlx. What is prob of picking 2 l?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/221 and 51\/12179.\nAnswer: 2691559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4\/4)\/((-7)\/4)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.96437 plus -0.1?\nAnswer: 2.86437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1336 and 67.\nAnswer: 89512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19284423\/86 or 224238?\nAnswer: 19284423\/86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p + 9. Let j be x(-2). Let t = -44 + 43.5. Which is the closest to j? (a) 15 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48685 divided by -6644.\nAnswer: 48685\/6644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 53 - 27 = 0. What is the least common multiple of b and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 5*a + 1. Suppose 2*y + 3*y + 130 = 0. Calculate the remainder when q(4) is divided by (-82)\/y - 18\/117.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190747, 380476, 570205, 759934, 949663, 1139392?\nAnswer: 1329121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187815.\nAnswer: 3, 5, 19, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*b = -0*g - 2, -5*g = b - 5. What is the closest to 1 in 1\/5, 2\/13, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65\/276 - -1\/69. Let y = -6 - -9. Suppose 5 - 62 = -y*g. Which is greater: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-8)*m*m**(-6\/5) assuming m is positive.\nAnswer: m**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 28*m + 208. Calculate l(-5).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45495, -182027, -409581, -728157, -1137755?\n\"Answer: -45511*w**2 + w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a meter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -143910301?\nAnswer: -143910301.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -18\/221, 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/10 - 12\/30. Let f be (2\/4)\/(y\/2). Let q = 2158\/9 - 240. What is the closest to f in q, 5, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9176*l + 168590 - 54620 = 613191 + 611075 for l.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -77*w - 6. Let j be a(-1). Let y = 29 + j. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2455925*h**4 + 2031225*h.\nAnswer: -29471100*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97200.83 litres to millilitres.\nAnswer: 97200830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11952659*q - 37*q**2 - 11952659*q.\nAnswer: -37*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 19*z + 4 + 10 + 0. Does 9 divide u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -3. Let m(a) = -a + 0*a + a**2 - a. Let j be m(u). Solve -2*i = -j - 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 6\/7 (b) 0.1 (c) -3.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 285263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 336200 rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*z - 16*z + 12*z + 2 - z - 2 + (-7 + 12 - 6)*(2*z + 0*z + z).\nAnswer: -34*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 - 7499*r**2\/3 - 6023025*r - 4714351875.\nAnswer: -(r + 2025)**2*(r + 3449)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6607 = 9*b - 2852. Suppose b = 13*n - 2160. List the prime factors of n.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101741.\nAnswer: 101741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2057) - ((2 + sqrt(2057))*-5)**2 - (1*sqrt(2057) + 1)).\nAnswer: -51524 - 1100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/31)\/4)\/(9\/2*33\/99)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-497852*k + 497852*k + 2825*k**2)*(3 - 6 + 1).\nAnswer: -5650*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-15))**18*(m*m*m*((m*(m**(27\/5)*m)\/m)\/m)\/m)\/((m\/(m*m\/(m**(-10)*m)))\/m*m))**10 assuming m is positive.\nAnswer: m**(-2526)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -4. Let s = d + 5. Let k(g) = -4*g - 8. Calculate the smallest common multiple of k(-4) and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.132 and -0.4?\nAnswer: 0.0528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 1378979180489.\nAnswer: 1378979180490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 839*b + 21 + 20 - 66.\nAnswer: 839*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 68245617869708 and 3.\nAnswer: 68245617869711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31481430 to the power of 1\/2, to the nearest integer?\nAnswer: 5611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 + 0*o**2 + 2 - 5*o**2 - 9*o**2.\nAnswer: -8*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 24 = -4*i, 22*i - 24*i - 16 = 5*c. Sort -6, i, -5 in decreasing order.\nAnswer: i, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 2:12 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 232 + -163. Let a = -64 + c. Is 4 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-7 + 11 + -15. Let a(q) = -q**2 - 10*q + 14. Let k be a(b). Solve 2*m - 31 = -5*u, k*u + 3*m - 39 + 15 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 504 and 18666.\nAnswer: 522648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1856672 is divided by 928336?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 527.36 + -527.31. Let t = -126\/5 + 25. Which is the nearest to t? (a) w (b) 4\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - z + 1 = 0, -k - 30487*z - 5 = -30492*z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 148274 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27746938, -27746945, -27746952, -27746959?\nAnswer: -27746966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3103*x - 10108*x - 6951*x - 2187*x + 642*x as h*x + a and give h.\nAnswer: -21707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*5*(16 - (-5405)\/(-335)) - 4.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2600 (base 7) to base 4\nAnswer: -33110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 24*i + 3. What is z(-2)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2815965791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 545344753 or 545344752?\nAnswer: 545344753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2944 and 256.\nAnswer: 5888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33552 and 504?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 6, 0.5, -1 in descending order.\nAnswer: 6, 0.5, 2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 2*l - 2. Let u(h) = 161*h**2 - 18*h + 87. Let d(y) = 18*t(y) + 2*u(y). Differentiate d(n) wrt n.\nAnswer: 608*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 710 - 12071*p**2 - 710 + 12093*p**2.\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 0.15, 23.\nAnswer: -29, 0.15, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t + 15 = 0. Suppose 32 = 3*r - 3*c - 37, 0 = 2*r + 2*c - 62. What is the remainder when r is divided by (t\/(-9))\/(1\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 5*p + 10, -2*p + 6 + 6 = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(2\/(-6))\/(-1). Let c = -4.946 + -0.054. What is the nearest to 1 in c, a, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (-5*(sqrt(77) - (sqrt(77)*-1 - sqrt(77))) - sqrt(77)))\/(sqrt(28)\/(-2*sqrt(4))).\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-5.08749.\nAnswer: 25.43745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 8 = -3*d. What is the third derivative of n**4 + 0*n**2 - 2*n**d - n**2 wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -4*b + 3372 - 6779 + 3374, 3*b - 84 = 18*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 50*s + 863. Let i(g) = 12*g + 1. What is -4*i(q) + o(q)?\nAnswer: 2*q + 859","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3 - (-24)\/(-288)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*q + 12 = 0, 8 = -l - 3*l - 3*q. Let h = -24 - -27. Let x = -0.04 + 4.04. What is the second smallest value in h, x, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18468 and 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2*n + 3*x + 15, -2*n + 2*x + 8 = 0. Suppose 4 = 8*v + 20. Let g(o) = o**2 + 2*o + 1. Let y(q) = 2*q**2 + 3*q + 1. Give n*g(k) + v*y(k).\nAnswer: -k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 + 61.9. Let i = p - 61.0000087. Round i to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 54 = -10*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 2*y**4 - 2*y**4 + (40*y**3 + 45*y**3 - 25*y**3)*(-y + 3*y - 3*y).\nAnswer: -58*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -450.\nAnswer: 1\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = s - 14, n + 22 = 5*s - 0*s. Solve -6 + s = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3458, 4989, 7502, 10997, 15474?\nAnswer: 20933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 65. Let x be a(29). Suppose x*h + 4*c - 943 = 6*h, -5*h + 4652 = -c. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 5038 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -48*y - 23. Let u be m(-1). Suppose u*a + 31 = 6. Let r(f) be the third derivative of -7*f**4\/12 + f**3\/6 + f**2. Give r(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201120211020 + -11?\nAnswer: -201120211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -b6 (base 12) to base 6\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2666*-16\nAnswer: 42656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42)\/12*(-3)\/14. What is the nearest to k in 1, 2, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*d**6 + 2437085*d**5 + 2523*d**2 + 28403.\nAnswer: 2040*d**3 + 146225100*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*a - 3*r - 2, -a - 6 = 4*r. Suppose -3*z + a*y = -50, 5*z + y - 75 = 6*y. What is the common denominator of -37\/4 and 1 - (274\/z - 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/z**(2\/31)))\/(z*z\/z**(-5))*z**4*z*z*z*z**(-1\/4)*z*z assuming z is positive.\nAnswer: z**(101\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4098 >= 4111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 73*c**2 + 73*c + 327. What is the remainder when w(-72) is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1384 - 161 - 10 - 429 - p**2)*(-7 + 7 - 3*p) as n*p**3 + x*p + m + t*p**2 and give x.\nAnswer: 5952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -16130*k - 46*k**2 - 13008845 + 33*k**2 + 30*k**2 - 22*k**2 = 0. What is k?\nAnswer: -1613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -13.\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 9656?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-730)\/438*(-12)\/(-70).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3517 - 63343\/18. Let i = -20 + 38. What is the common denominator of ((-7)\/(-24))\/(i\/27) and s?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-11 - -30) + -2 + 12?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = -8868*u + 8856*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/136 + 108\/51. Solve -b*y + 3 = 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -0.041385.\nAnswer: -2.041385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298287352?\nAnswer: 2, 11, 3389629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.68544542 minus 0.1?\nAnswer: -150.78544542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.89 + 0.89. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r + 381 - 365 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-46)\/(-14) + 4\/(-14). Is 5 a factor of k\/24*4*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -298686, 5, -1\/23, -2\/13, 2 in increasing order.\nAnswer: -298686, -2\/13, -1\/23, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 394\/5, 167, 174 in decreasing order.\nAnswer: 174, 167, 394\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**6*c**(2\/13)*(c**(-5\/6)\/c)\/c**(-2\/11) assuming c is positive.\nAnswer: c**(3863\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 3. Let x = n - -7. Solve x*l + 5*w = 8, 3*w + 4 = 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -2*u + 3*u - 7, 2*c = -4*u - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g + 21. Let s(m) = -m**3 + 8*m**2 - 7*m - 12. Let u be s(6). Is 26 a factor of k(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -2.34, -6, 12, -1\/12 in ascending order.\nAnswer: -6, -2.34, -2, -1\/12, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -305.53 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5185607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*j**4 - 278*j**2 + 278*j**2 + (0 - 1 + 0)*(-15 + 3*j + 15)*(-2*j**3 + 5*j**3 - 5*j**3) as l*j**4 + g*j**3 + m + b*j + x*j**2 and give l.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/4 + 1187*j**2\/2 - 546185*j\/4 + 135953 = 0. Calculate j.\nAnswer: 1, 257, 2116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -252 - -253. Sort 0.7, 0.03, -0.4, v in descending order.\nAnswer: v, 0.7, 0.03, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**5\/20 - w**4\/6 + 5*w**3\/6 - 377*w**2 - w. Let u(g) = -g**2 - 2*g + 3. Determine 4*i(k) - 7*u(k).\nAnswer: -5*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530.4762 seconds to hours.\nAnswer: 0.1473545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -94*f + 425. Let w be n(-10). What is the highest common factor of 105 and w?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63286 - 17331.\nAnswer: -80617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5*sqrt(378)*1)\/sqrt(6))\/((2*-2*sqrt(63))\/sqrt(7))*6.\nAnswer: -45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, 1, 48, 5 in increasing order.\nAnswer: 1, 4, 5, 9, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2560924109?\nAnswer: 47, 131, 415937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyee. What is prob of sequence eyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -102?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**8*b\/b**(-9)*(b*(b\/b**(-8\/9)*b*b)\/b*b)\/((b\/b**(1\/22))\/b) assuming b is positive.\nAnswer: b**(4541\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/6 + 17*c\/2 + 99.\nAnswer: (c + 18)*(c + 33)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5144179948 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q - q**2 + 2*q)*(-q**2 + 2*q - 2*q)*(-84 - 52 + 96)*(-15 - 5 - 46) to the form d*q**2 + a*q + l + k*q**4 + f*q**3 and give k.\nAnswer: 2640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237359 to the power of 1\/2, to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 638869060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 992 - 1016. What is the closest to -1\/4 in m, -7, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 9*o + 2 = 0. Suppose o*h = -12*x + 9*x - 2, 3*x + 10 = 2*h. Let i(c) = c**3 - 7*c**2 + 6*c + 5. Let g be i(6). Is g at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -i - 4, 0 = -3*i - 3*p + 2 - 23. Let l be (-5706)\/(-24)*i\/(-6). Let y = 900 - l. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*l**6 + 88*l**5 - 7*l**4 + 92*l**2 + 125*l.\nAnswer: 1800*l**3 + 5280*l**2 - 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.068, 0.2, 5, -2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 1 - 2*l - 2\/9*l**3 + 4\/3*l**2. Suppose a(f) = 0. What is f?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -3*l + 306. Suppose v + 5*v = l. Let s = v + -7. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 8. Let l = j - 10. Suppose 24 = -l*f - f. Which is bigger: f or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1363 + -764. Let v = l - 596. Which is the fourth biggest value? (a) -4 (b) v (c) -2\/537 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 156, 161, 174, 195?\n\"Answer: 4*h**2 - 7*h + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/5877 and -1\/7.\nAnswer: 41139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -765312, 0.5, -13 in decreasing order.\nAnswer: 0.5, -13, -765312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1442338?\nAnswer: 2, 721169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 13 + (0 + -4 + -2 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 739552 is divided by 129.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 1. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 276, 284, 304, 342, 404, 496, 624, 794?\n\"Answer: a**3 + a + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/5)\/((-112)\/2940). Let b(u) = u**2 - 6*u + 6. Let j be b(6). What is the highest common factor of k and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202188 and 332.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 38, 19 in ascending order.\nAnswer: 0, 1, 19, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22cc55 (base 14) in base 3?\nAnswer: -2020100101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5052, -10072, -15058, -20010?\n\"Answer: 17*m**2 - 5071*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**3\/3 + 5*y**2\/2 + 5*y. What is the derivative of n(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195915 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 0 = -5*u. Suppose -u*j - j = -35. Calculate the remainder when 46 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39875 and 551.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/5)\/(3\/15). Suppose -b*p + 4*i + 37 = p, 2*p + 4*i - 58 = 0. Solve 3*y - 22 = -5*c, y + 0*y - p = -4*c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007748 to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1453?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4038583432 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16715669693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 + -74. What is the smallest common multiple of 16 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 26. Let w(n) = 14*n - 1. Let t be w(-5). What is the common denominator of c and (-3)\/(-1) + t\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2162*g**4 - 18*g**2 - 74?\nAnswer: 51888*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**3\/3 + 3*x**2 - 3*x - 11. Let t be -2 + 9 + 1*-2. Determine u(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 728 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/(620\/24))\/((-4)\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 676429368 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - -0.8. Let n = -137\/3 - -46. Let t = -0.124 + -0.376. What is the closest to m in n, t, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-4)\/((-8)\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 73002, 72909, 72816, 72723?\n\"Answer: -93*a + 73095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -44. Let u be q*6\/(-15) + 3\/105. Let d = 1\/209 - -409\/1881. What is the third biggest value in d, 3, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802 is divided by 135?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -10*q + 5. Does 9 divide t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 558*r**2 - 64602*r + 5439. Determine b(-394).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqdqdqdd. What is prob of picking 4 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 198 or 1383\/7?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 146 * -1\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-479)\/(-9) + (-8)\/36.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 7*d**2 - 12*d - 15. Let a be n(-6). Is 3 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/6)\/(2\/(-18)). Suppose -6 = -g - g - 4*o, w*g + 2*o - 21 = 0. What is the highest common factor of 18 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.62 + 0.92. Which is the second smallest value? (a) j (b) -14 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 4. Let w be o(5). Let z be ((-3 - -1) + w)\/4. Let f(q) = -q**2 + 2*q + 28. Let v be f(6). Solve v*c = 2*c - u + z, 2*u = -3*c - 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 2:15 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3)**47\/(s**(1\/2)\/s)**(4\/13))**(-2) assuming s is positive.\nAnswer: s**(-3670\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkxxkkxxkxkkkkx. Give prob of sequence kkxk.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - n**2. Let d(x) = x**2 - 3. Let y be d(-3). Suppose -5*z + 9 = -y. Let t = z - 2. Calculate q(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 394, 921, 1436, 1933, 2406, 2849, 3256, 3621?\nAnswer: 3938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181765446?\nAnswer: 2, 3, 29, 1044629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o\/(o\/(o\/(o*o\/o**(5\/3)))*o))\/o)\/o)\/(((o**1*o)\/o)\/o*o)*o**8\/(o**(4\/7)*o)*(o**3*o**(-3\/4)\/o*o*o)**(-5\/2) assuming o is positive.\nAnswer: o**(-509\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 32 - 30849*g + 90 - 33 - 24.\nAnswer: 2*g**3 - 30849*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a factor of 17166492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*w - 46. Suppose -77 - 13 = -z - w*s, -5*z + 450 = -2*s. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 3*u - 28. Let g = -28 + u. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5918673 divided by -153?\nAnswer: 1972891\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 9. Let f(z) = -z**3 - 4*z**2 + 4*z - 2. Let g be f(-5). Let q = g + -3. What is the least common multiple of m(q) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 a factor of 135834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 = t - 3*r + 127, -r + 172 = 2*t. What is the smallest common multiple of 4869 and t?\nAnswer: 48690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -269792\/337 != 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -363165, -3 in ascending order.\nAnswer: -363165, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*s + 1285348, -1223*y = s - 1224*y - 257070. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**6\/720 + 13*m**5\/120 - 5*m**4\/24 + 4*m**2. Let t(p) be the second derivative of l(p). Give t(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 390766 and 6?\nAnswer: 1172298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 5:45 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/14)\/(19\/1064*-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17880 by -5.\nAnswer: -3576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.12089936357 and 0.3.\nAnswer: 0.42089936357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619294 < 1619293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2750 by 55.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1452552*p**2 - 30*p + 218. Let u(w) = -484184*w**2 + 10*w - 73. Let i(g) = 3*l(g) + 10*u(g). Let f be i(14). Round f to the nearest 1000000.\nAnswer: -95000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48088385729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4261.\nAnswer: 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0 (c) -5\/4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38780 (base 11) to base 14.\nAnswer: 1632a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3239 - -3389. What is the least common multiple of 6 and z?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 28*i - 349. Let d be z(13). Let l be (4 + -3)\/((-1)\/(-6)). Calculate the highest common factor of d and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1024 and 77376?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927368?\nAnswer: 2, 13, 37, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 688953*y - 688956.\nAnswer: 3*(y - 1)*(y + 229652)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1588224.62 at least -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 148*o**5\/5 - 39*o + 215. Differentiate q(v) wrt v.\nAnswer: 592*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 - 5193142*t\/9.\nAnswer: 2*t*(t - 2596571)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + (-4*sqrt(120))\/(sqrt(50)\/sqrt(180)))**2 + -4.\nAnswer: 288*sqrt(3) + 6917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*l, -3*l = -4*x - x + 4. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 2)*(0 + 0 + 2) - 2 + 1 + 3)*(-145*t - 150*t - 3*t**5 + 278*t).\nAnswer: -12*t**5 - 68*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -569 + 721. Calculate the greatest common divisor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 (base 6) in base 7?\nAnswer: -216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -15 in descending order.\nAnswer: 5, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 2748*q**2 + 561807*q + 559062.\nAnswer: 3*(q + 1)*(q + 306)*(q + 609)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -g + 1. Calculate the highest common factor of g and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 5\/(-20) - 3 - (-170)\/(-408). Factor o*d + 1\/3*d**2 - 2.\nAnswer: (d - 2)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - 8*a**3 - 51*a**3 - 6 + 16*a**3 + 3*a**2 - 5*a**3 to c*a**2 + k*a**3 + v*a + q and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*u - 8*u - 5*u + 9*u - 2*u**5 wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 26 - 79 = 0. Let u = -33 - x. Let y(d) = 4 - 2 - 3*d + 0. Determine y(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(6) - sqrt(6))\/(2*sqrt(300) + sqrt(300) + sqrt(300)).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1528\/(-1392) - 126\/(-108). Is -4\/3 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(98\/49)\/((-2)\/(4\/14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -1)*111\/74. Let j(x) = -279 + 279 + 10*x**h. Give j(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 20 = 46. Calculate the smallest common multiple of n and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.75 in 0.076, 0.08, -57?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.3, -9.3, 2\/19, -0.084.\nAnswer: -9.3, -0.084, 0, 2\/19, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - z = -5*d - 10, 20 = -4*d. Suppose 5*f = l - 28, 0*f = 5*l - z*f - 52. Suppose 12*a = l*a + 2980. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -378980 to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/1 + (3 - 4). Let b be 9\/((-3)\/(-24)*6). Suppose k*f - 10 - b = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2 + 23*u + 61. What is x(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 98447161, 98447162, 98447163?\n\"Answer: g + 98447160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 2. Suppose -h = -4 - c. Suppose -h*i + 4*y + 26 = 0, -3*y - 10 = -i - y. Solve -i*a + 25 = -3*m - 2*m, 2*m + 2*a - 4 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 - 207\/18) + 5\/2. Let d(w) = -20*w**v + 3*w - 12*w**2 + 28*w**2 + 1. Let f(s) = -5*s**2 + 4*s + 1. Suppose 3 = 3*h - 12. Give h*f(u) - 6*d(u).\nAnswer: -u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z + 44 = 0. Does 11 divide -2*z\/(-4)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2. Let q = -150 + 149.5. Which is the biggest value? (a) d (b) q (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 276 - 29. What are the prime factors of d?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76061047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -33. Let u be (-6)\/(-5)*13\/26. Which is the closest to 5? (a) p (b) -0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3600146*k - 29770709.\nAnswer: 3600146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 4, 17, 5 in descending order.\nAnswer: 17, 5, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*y = 977 + 458, -3*y = 2*t - 2845. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -x + 8. Let a = x + 61. Suppose 0 = -a*k - k + 22. Calculate the least common multiple of k and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-1606\nAnswer: -12848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*i**5*u - i**4 + 2*i**3*u**2 + i**2*u - 219*i*u**2 wrt i?\nAnswer: -3120*i**2*u - 24*i + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 883 = 3*v, -5*v - 9 = 11. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(78)\/sqrt(6))**2 - (-3*(sqrt(78) - sqrt(78)*-2))\/sqrt(6).\nAnswer: 9*sqrt(13) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 24. Let s(l) = 5*l**2 - 11. Let h(a) = -4*a**2 + 2 + 3*a**2 + 0*a**2. Calculate j*s(f) + 22*h(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232144 (base 7) to base 6.\nAnswer: 520304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -2\/3*x**3 - 1\/24*x**4 + 3*x**2 + 0*x + 0. Suppose -2*m = 2*m - 12. Calculate g(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 2:23 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 6:02 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 27*k. Let o(w) = 10*w. Let x(j) = -28*j. Let g(s) = -17*o(s) - 6*x(s). Calculate g(i(y)).\nAnswer: -54*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 7) + -34 - -42?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1329 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 - 0.76. Let y = i - 1. Let d = 0.8 + y. Which is the nearest to 0? (a) d (b) -0.4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*k - 201, 2*k + 147 = 7*v - 2*v. Put -4, k, 4 in decreasing order.\nAnswer: 4, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxx when three letters picked without replacement from ynnqppqquxxu?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + 0 + (-14 - -15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68548 (base 12) to base 3.\nAnswer: -21001200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, -15674526 in increasing order.\nAnswer: -15674526, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 20, -3*l = 5*a - 7045 - 1192. Suppose 10*t + l = t. Let m = t + 599. What are the prime factors of m?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2 - 16*i + 1. Suppose 5*p + 25 = 0, -2*a = -3*p + 38 - 63. Let f(t) = -3*t**2 - 15*t. What is a*f(r) - 4*c(r)?\nAnswer: r**2 - 11*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(3\/34)*((i**(-3\/5)\/i)\/i)\/i**2)\/((i**0\/i)\/i**(1\/9))**(-15\/4) assuming i is positive.\nAnswer: i**(-2258\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*p**2 + 0*p**2 + 3154*p - 3154*p - p**6 wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.12 + -0.08. Which is the closest to -0.1? (a) -1\/2 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 5630*q - 5625*q = -33, -9*u - q = 36 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 0*u**3 + 0 - u - 1\/4*u**4 + 0*u**2 - 1\/20*u**5. Find the third derivative of c(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111011 (base 2) in base 9?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1042*x**3 - 1 + 643*x**3 - 1263*x**3 to the form h*x**2 + w*x + q*x**3 + m and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*x - 28 = 0, 5*x = k + 4*x + 2. Solve -5*t + 3 = -k*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, -2\/9, -3, -2, -72, 746?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**5 - 225*b**4 + 18530*b**3 + 820860*b**2 - 2588760*b + 1749600 = 0 for b.\nAnswer: -54, 1, 2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*m**4 + 101592*m**2 - 6582292 wrt m.\nAnswer: -60*m**3 + 203184*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 25120795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130592 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -6\/47 + -16\/611. Which is the third biggest value? (a) 0.5 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/2 + (-10 - 400\/(-68)). Let g = -24.2 + 24. Which is the second biggest value? (a) 0.4 (b) g (c) z (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773 at most -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19833.09m to centimeters.\nAnswer: 1983309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 4. Let c be w(0). Let i(l) = 0 + 2*l - 5*l + 0*l - 7. What are the prime factors of i(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 4*t**2 - 4*t**2 + (3*t + 19*t + 21*t)*(-21*t + 0 + 0))*(3*t**3 - 2*t**3 + 0*t**3).\nAnswer: -905*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60102 is divided by 59000.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4041258 rounded to four dps?\nAnswer: 0.4041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.56 - 8.44. Suppose -n = 4 + 1. Put -3, n, l, 3 in descending order.\nAnswer: 3, -3, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102248160 rounded to the nearest 10000?\nAnswer: 102250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 796*i**2*q - 70019*i*q + 221844584*q wrt i.\nAnswer: 1592*i*q - 70019*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44500, 44112, 43466, 42562?\nAnswer: 41400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -270 - -266. Let p = -3 + 3.4. Which is the third biggest value? (a) k (b) -5 (c) p (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188909 or 188913?\nAnswer: 188909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 128, 155, 182, 209, 236?\n\"Answer: 27*z + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -225180.\nAnswer: 1\/45036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/280*15\/(-18)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.125 + 1.17. What is the third smallest value in b, 0, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001031 (base 4) to base 9.\nAnswer: 134427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.84508802 rounded to two decimal places?\nAnswer: -3.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 508 - 14998 - 780*v + 90540.\nAnswer: 2*(v - 195)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 331197 and 1908.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/4 - 2)*(5 - 9). Let p be 2\/(-3)*(-9)\/33. What is the closest to 2\/3 in -4, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3) + (-16)\/(-6). Let m(w) = -3*w**3 - w**2 + 2*w - 1. Let v be m(-2). Let o = v + u. Solve 2*t - 3*p = -o, 0*p = -4*t + 2*p - 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5657022 divided by -2.\nAnswer: 2828511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 34. Let w be i(-15). Let b be (-36)\/(-10) - 8\/(-20). Put b, w, -5 in descending order.\nAnswer: b, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 728\/(-197) - ((-95)\/20 - -5) - -4 and 73\/20?\nAnswer: 3940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r + r + 10*r)*(-2 + 0*r + r + 2*r) - 5*r**2 - 5*r**2 - r**2 to the form t*r + a*r**2 + s and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 48, 2, -5, 78 in descending order.\nAnswer: 78, 48, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 57\/2. Determine v so that 1\/2*v**3 + 1\/2*v**2 - 1\/2 - r*v = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 17 - 18. Let d be (1 + (-42)\/40)*(0 + g). Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 6*t - 278. Let c = t - -470. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*o + 52 = -0*a, 0 = 5*a + o - 287. Suppose 2*r = d - 0*r - 11, -4*d + a = -r. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.13 + 0.13. Let g = y - -14. Which is the closest to g? (a) -0.1 (b) 1\/3 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*n = 6*n + 14, -3*z + 5*n = -14. Let f be ((-54)\/z)\/(-24 + 5). Is f smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*s - 7*s**3 + 0*s**3 + 5 - 7 + 5*s**3 to the form c*s + w*s**3 + q + m*s**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 3:59 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3\/5 + 1304*d**2\/5 - 2614*d\/5 + 1308\/5 = 0.\nAnswer: -654, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 819055687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Product of 1.67412 and -395.\nAnswer: -661.2774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*v - 3*t, -5 = -0*v + 5*v - 4*t. Put -0.3, v, 3, 7 in decreasing order.\nAnswer: 7, 3, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j. Let a(k) = -2*k - 3. Suppose 6*s - 4*s = 6. Let q(w) = 5*w - 1. Let g be q(1). Let x(h) = 3*h + 4. Let p(b) = g*a(b) + s*x(b). What is p(n(m))?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k = 2*k - 18*k + 5*t - 23 - 53, -t = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*l + 78*l = 7020. Let w = l + -7105\/3. Do -27 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/4 - 45*m - 176 = 0.\nAnswer: -176, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 436 - -930638.\nAnswer: 931074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11649733?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 2179 = k - 4*v - 2191, -2*v = -131*k + 528 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + a + 3. Let v be i(2). Let r be -1 + v - 3 - -3. Suppose r = -4*z + d + 213, -2*z + 39 = -z - 5*d. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 5 + -7 - (-43 - (1 + -2)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87605920 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10429264 divided by -23384.\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 1. Let r(c) = -4*c + 4. Let t = -6 - -14. Let x be ((4 + -2)\/t)\/(3\/(-12)). Give x*r(z) + 3*q(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2210 and 15028.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 4*m + 2*d, 0 = -4*m - 4*d - 101 + 249. Solve 5*z = m - 59 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (5 - 7) - (-3 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118 + -109. Let n be (-401 + 2)\/(-3) + -3. Suppose 3*k - 8*k = -n. Calculate the remainder when k is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*n, -n = 2*d - 1819 - 5036. Suppose -5 = -2*u + 3*u, -3*v - 4*u = -d. List the prime factors of v.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 707*l**5\/5 + 6787*l**4 + 287701*l**3\/5 - 407*l**2\/5 = 0.\nAnswer: -37, -11, 0, 1\/707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/((-70)\/(-300)*-25).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - ((-1)\/(-1) - 3). Let k be (6\/12)\/((-7)\/6). Put k, 0.2, f in decreasing order.\nAnswer: f, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 1. Suppose -3*v + k - 1 = -s, 23 = v - 5*s. Suppose 21 = v*p - 0*p. Solve -p = 5*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.37963t to kilograms.\nAnswer: 22379.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/27709 and 9\/770?\nAnswer: 1939630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(200) + 3))**2*-5 + (-4 + sqrt(200) + -1)**2 + (sqrt(200) + -3)**2 + 3.\nAnswer: -100688 + 14840*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11646554 divided by -31.\nAnswer: 11646554\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 9*g**2 - 7*g - 14. Let w be n(7). Let r = -19 + w. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.433 or -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**3 + 1. Let u be (-2)\/(-7) + (-26)\/(-7). Suppose -3*f - 7 = -3*z + u*z, -3*z + 3 = f. Let l be (1\/4)\/(z\/8). Determine d(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 707*b - 6275 + 6275 - 3155*b as i + l*b and give l.\nAnswer: -2448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**4 + 4*j**2 + 8*j - 138. Let t(f) = f**4 - f**2 - 2*f + 1. Let d(u) = -h(u) - 4*t(u). Find the first derivative of d(m) wrt m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 3, -207, 298 in descending order.\nAnswer: 298, 13, 3, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 25*s**4 + 0 + s**3 - 4*s - 1052410*s**2 + 1052413*s**2 as d*s**4 + a + u*s**3 + f*s**2 + n*s and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 7, 30 in decreasing order.\nAnswer: 30, 7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/8 and -3\/368.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d. Suppose s = 4*s - 12. Let k = s + d. Solve k*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*j - 24, 4*t - 3*j = -0*j + 77. Suppose p = -3*p - t, -3*i + 2*p = -13. Sort -1, -4, i in decreasing order.\nAnswer: i, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**3 + 14*h**3 + 0*h + 0*h.\nAnswer: 21*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -182 - -233. Let q(g) = 30 - o + 7*g + 21. Give q(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*j - 4, 0 = -5*j - 2*d - 6 + 16. Find the common denominator of (-507)\/180 + j\/5 and (109\/(-6))\/((-42)\/18).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4833 + 4833 + 4*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 4*m - 16, 15*m = -u + 18*m - 8 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, e: 3, q: 4, b: 2}. What is prob of sequence eqe?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 260 and 3185.\nAnswer: 12740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/7))**(-39) assuming i is positive.\nAnswer: i**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/7)\/((-2)\/(-6)))\/((-628)\/(-1099))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4525 - -4467) + (-2 - -6 - -13)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1088, -4437, -10050, -17927, -28068, -40473, -55142?\n\"Answer: -1132*c**2 + 47*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:55 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 - (15 + -17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, 267, 1242, 2753, 4800, 7383?\nAnswer: 10502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12209, -12210, -12211?\n\"Answer: -y - 12208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2909\/2 + -1413. Find the common denominator of 19\/193 and i.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -239, 2974, 9645, 19774?\nAnswer: 33361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12836913 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96425 and 35413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 2*w**6\/15 + w**3 - 6*w. What is the second derivative of u(a) wrt a?\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -3*y + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i, i + 5 - 3 = -2*u. Let h = u + 9. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38904793 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -8. Let v be (2\/3)\/(2\/w). Solve -3*u = -5*t + 12, -4*u - 14 - v = -t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -17. Solve 2*u - 5*d = -19, -u = -w*u - 2*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 4, 3.6, 9\/5, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 22*x - 45. Let m be c(5). Let t be 48\/15 - 2 - 39\/m. What is the fourth smallest value in -4\/7, 1\/9, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 1 = -39 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, 0.13, -0.3, -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4945773, -9891539, -14837305, -19783071, -24728837, -29674603?\n\"Answer: -4945766*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 5005345.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7 - 6*v + v**2 + 3 + 3. Let g = 240 + -233. Calculate b(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8175 - -16271. Calculate the greatest common factor of c and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x = 7 + 44 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b - 129*b**3 + 269*b**3 + 21*b - 135*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 23. Suppose -3*i + i = -f. Suppose 22 = -2*v + i*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25754 and 1027.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.03 + -7.03. What is the third smallest value in 3, v, 0.4, 15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**6\/36 - l**5\/10 - l**4\/12 - 2. Find z such that j(z) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 4*p - 6*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116888 + -116879.00055. Let s = -9 + m. What is s rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2677 + 2673. Which is the closest to 4? (a) o (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 3*y**2 + y - 9. Calculate the remainder when x(4) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-4\/5))\/(q\/(q**(2\/3)*q)))\/(q**4\/(q*q*q**6*q*q)) assuming q is positive.\nAnswer: q**(127\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 3*v - 3*o = -231, -4*v = -o - 211. Let w = 3 - 1. Let l be v\/6 + w + -1. What is the greatest common factor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 110*d - 4. Let y be w(1). Let t = y + -194. Let q = -29 - t. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1145500 - 15?\nAnswer: 1145463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 744, 761, 780, 795, 800, 789, 756?\n\"Answer: -u**3 + 7*u**2 + 3*u + 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20 + (-1946)\/98 - 165\/(-21). Suppose l + 112 = 5*l. Solve -l = -g + h*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**3\/3 + 2*y**2 - 121. Calculate n(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (169\/35 + -5)\/(3\/(-20)). Which is the nearest to 2\/7? (a) 0.1 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66) + (sqrt(66) - 6*1*sqrt(66)))*-1)\/(sqrt(108)\/(1*sqrt(2))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -4, 51, 0, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2*a - 4*a + 0*a)*(0 - 1 - a - 1).\nAnswer: 2*a**2 + 11*a + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -58 - 57 + 102 + 12. Let a(j) = -j - 7. What is a(v) + 2*p(v)?\nAnswer: -v - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8433366, 8433398, 8433430, 8433462, 8433494?\n\"Answer: 32*v + 8433334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/9, 204 in increasing order.\nAnswer: -2\/9, 0.2, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 8*c + 17. Determine y(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/8*23*(-64)\/(-1104)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 59 = i + 69, -2*m - 5 = -i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {c: 16, y: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/5, -2\/9, -45\/7562, -2, -2\/3 in decreasing order.\nAnswer: 11\/5, -45\/7562, -2\/9, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.9218 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 218 and -0.3.\nAnswer: -65.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 54195*m + 10221120.\nAnswer: 5*(m + 192)*(m + 10647)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -381, 0.5, 473.81 in ascending order.\nAnswer: -381, 0.5, 473.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -0.5, 0.4, 10, -2 in descending order.\nAnswer: 10, 0.4, 1\/9, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -2 + 0*y + 0*y**4 - 2*y**2 - 1\/30*y**5 - 1\/120*y**6 + 17\/70*y**7 + 1\/6*y**3. Find the third derivative of c(q) wrt q.\nAnswer: 1224*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -148472205 equal to -148472207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1108?\nAnswer: -3\/1108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -5*l + 4, -3 = 2*b + 5*l - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 17, -9, 0.02, -1, -2\/11 in decreasing order.\nAnswer: 17, 0.02, -0.08, -2\/11, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w**2 - 7*w - 1. Let r(u) = -17*u**2 - 20*u - 3. Give -11*c(f) + 4*r(f).\nAnswer: -2*f**2 - 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ggggtwtwghgg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 + -1.2. Let x = -450328351\/618 + 728686. Let k = 3\/206 - x. Sort -1\/5, k, m in decreasing order.\nAnswer: k, m, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 6*s**2 - 2*s + 1. Let y be a(-6). Let p = y - 10. Let b = 6 - p. Solve w + b = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10473 is divided by 302?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372393 is divided by 74427.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, y: 2, u: 3, j: 5}. Give prob of picking 1 u and 3 j.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.38 + -2.72. Let t = 4.5 + i. Put 1\/49, t, 0.3, -1\/3 in descending order.\nAnswer: t, 0.3, 1\/49, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -47284.\nAnswer: -47284, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 + 12)*(-2)\/8 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001000111110000000 (base 2) in base 12?\nAnswer: 338454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 34. Suppose -z*f = -17*f + 24. Let w = f + 19. Is w >= 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42\/31 - 199\/124. Which is greater: m or -72\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vinvi. Give prob of sequence vv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-32))\/(71\/7668*168)?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1067283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, r: 2}. What is prob of sequence rll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l - 76 = 8 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 702015 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -78*o + 64. Let z(v) = -3*v + 2. Let y(c) = -3*u(c) + 96*z(c). Let s(p) = 2*p**2 - 3*p**2 + 3*p**2. Determine s(y(k)).\nAnswer: 5832*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (8 - 12) + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 4 - 4)*(-4*x - 2*x**2 + x + x) + 9*x**4 - 185*x**4 - 129*x**4.\nAnswer: -307*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 7*q + 8. Let l(t) = -t**2 - 3*t + 4. Let n(u) = -5*l(u) + 3*v(u). Factor n(o).\nAnswer: 2*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**3 + o - o)*(2 + 5 - 6 - 5*o) in the form s*o**4 + v + x*o + h*o**3 + c*o**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/7 - 242*v**2\/7 - 7688*v\/7 - 32640\/7 = 0. Calculate v.\nAnswer: -68, -48, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 8*p = 22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5666?\nAnswer: 2, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1216426.\nAnswer: 2, 608213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/67898 and -63\/68.\nAnswer: 135796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -560 + -142. Let b = -700 - c. Find m, given that -320\/3*m**3 + 44\/3*m + 32\/3*m**b - 8\/3 = 0.\nAnswer: -2\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**2 - f. Let i be r(1). Let a be i*-2*(-12)\/32. Let u(v) = v + 2. Determine u(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, -13, 4 in decreasing order.\nAnswer: 4, -2, -12, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**4\/4 - 279*t**3\/2 - 7131*t**2\/4 + 3987*t - 2064 = 0.\nAnswer: -172, -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 8*m**3 + 13*m. Let u(g) = -g. Calculate a(u(x)).\nAnswer: -48*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((2 - -10)\/(-6)). Solve a + 3 = -f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 19*b**4\/2 + 2*b - 27. Let z(v) = -v**2 - 2*v + 2. Let t(s) = -s**2 - s + 1. Let r(h) = -4*t(h) + 2*z(h). Calculate f(r(c)).\nAnswer: 456*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a**2 + 2*a. Let m be n(-1). Suppose 4*i = -m, 2*q - 3*i + 0 = 21. Let c(u) = q*u - 11*u - u**2 + 1 + u. Calculate c(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -13*l + 149. Suppose 751 + 495 = -l*j. What are the prime factors of (j\/(-5))\/((-5)\/(-25))?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.5 + 3. Let x = -7.7 + 8. Let g = -2 - -2. Which is the closest to 1? (a) x (b) k (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 510 and 150.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3195127 to the power of 1\/2, to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111 - -108) + 32\/(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174629986 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -203 - -421. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 - -83. Sort 0, 5, r, 1 in increasing order.\nAnswer: r, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8712 = -9*g - 3*g. Calculate the common denominator of -137\/132 and ((-1326)\/g + -2)*2.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 126?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/9 + 328*i**3\/9 - 24749*i**2\/9 - 25738*i\/9 + 16720\/3 = 0. What is i?\nAnswer: -2, 1, 120, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 12*y**2 - 15*y - 43. Give m(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 3*h - 15, -5*u + 0*u - 4*h - 20 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1042*v - 694*v - 8663 + 1007 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from sswzbhzsssccscsws.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 4*f**2 - 5*f + 3. Let z be s(3). Let w be 5 + (-13)\/(-39) + (-77)\/15. Which is the third smallest value? (a) w (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2213*h**3 + 4467*h**3 - 2206*h**3.\nAnswer: 48*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mag when three letters picked without replacement from {m: 2, g: 2, a: 1, q: 1, s: 6}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -228 (b) 9 (c) 59 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h, 0 = 2*d - h - 52 - 16 - 16. What is the remainder when 553 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(126))\/sqrt(7))\/sqrt(6) + 2 + -3 + sqrt(363))**2.\nAnswer: -16*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = c + 23*c. Let w(t) = 53*t**2 + 4*t - 4. Calculate the remainder when w(c) is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/212571766 and -3\/14.\nAnswer: 1488002362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46342 by 34.\nAnswer: -1363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32824 plus 7185110422?\nAnswer: 7185143246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/314 and -19\/4.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 80.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 7*r**2 + 5)*(0 + 0 - 2) + 2*r**2 + r**2 - 2*r**2 + (2*r - 3*r + 0*r)*(-2*r - 2*r + 3*r).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -65 in -11, -2\/3, 0.5, 0.4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6513, 6891, 7269, 7647, 8025, 8403?\n\"Answer: 378*h + 6135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 281*m - 288. Is 20 a factor of p(44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126 + 160. Is 22 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 0.04 (b) -7 (c) -1 (d) 4 (e) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**5 - 25*a**4 + 60*a**3 + 400*a**2 + 320*a = 0 for a.\nAnswer: -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 less than -4097.3?\nAnswer: -4363.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 10*n. Let j(q) = q**2 - 9*q + 4. Let k be j(8). Let t(o) = o - 4. Let h(v) = -1. Let l(b) = k*h(b) + t(b). Give l(x(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 3. Let w be p(0). Let d be 0 + (w - 4 - -1). Suppose d = -j + 78 + 5. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*g**2 + 27*g**3 - 20*g**2 - 13 with respect to g.\nAnswer: 81*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1527 or -1?\nAnswer: -2\/1527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/10 - (-8)\/(-20). Suppose -g*w + 0*w = 0. Solve 4*r - 15 - 1 = w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 - 20. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 624440410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05240801 and -0.5.\nAnswer: -0.55240801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -287.7009 - -289.3. Let p = i - 1.6. Round p to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 750.76 and 63995.\nAnswer: 64745.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10588447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -113.8 + -12.2. Let d = c + 128. Put -1\/2, 1, 3\/2, d in decreasing order.\nAnswer: d, 3\/2, 1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h + 4*h - 285*h**2 + 954*h**2 to k*h**2 + q*h + j and give k.\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/825 and 1\/509278?\nAnswer: 38195850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*(-4)\/4*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 117275, 117272, 117269, 117266, 117263, 117260?\n\"Answer: -3*p + 117278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107\/498 - -4\/83. What is the second smallest value in 0, -19, m, 5\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/3))**(-15)*x*x**(-2\/7)*x*x**(-1\/3) assuming x is positive.\nAnswer: x**(-76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65169*s - 2 + 65288*s + 2.\nAnswer: 119*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13914340807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, s: 3}. What is prob of picking 3 f?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9*-12*(-3)\/(-54). Solve 3 = -3*y + r - h, r = y + 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (57 - 57 - 19*v**2 + (2*v**2 - 4 + 4)*(-2 + 6 - 3))*(4 + 0 - 1)*(18 + 2 + 1)*(-1 + 2*v + 1) to r*v + z + q*v**3 + x*v**2 and give q.\nAnswer: -2142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 21, -300, -3, -1 in decreasing order.\nAnswer: 21, 3, -1, -3, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*v - 237*v + 131*v = -84 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(3\/(-10)*(-5)\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from yqyqyqddqyyqq.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18784 divided by -1.\nAnswer: 18784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -20893000 rounded to the nearest one hundred thousand?\nAnswer: -20900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 3*r**2 + 4*r**2 + 19 + 35 to the form f*r + w*r**2 + c and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 382.8 times 184?\nAnswer: 70435.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0) + (3 - 2). Let s = t + 0. Let u(o) = 7 - 2*o + 1 - 3*o**2 + 4*o**2 + o. Calculate u(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/12 - (-16)\/6. Suppose -s*t + 6 = 2. Suppose t*y - 125 - 33 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**2 - 5*m**2 + 3*m**2 + 94*m**2 + 29*m**2.\nAnswer: 135*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 4*t + 2*l, -t + 2*t - 51 = 3*l. What is the units digit of (-12)\/t - 184\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68823 + 20*y**2 + 68823.\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -10*z + 4. Let w be d(-4). Solve w = 22*j - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 746, 1505, 2274, 3059, 3866?\n\"Answer: i**3 - i**2 + 755*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2555 at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -486 divided by -9.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27, -83, -183, -327, -515?\n\"Answer: -22*n**2 + 10*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + -2)*5 + 5*(0 + sqrt(272)))**2.\nAnswer: -800*sqrt(17) + 27300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 104376709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14606408 is divided by 951?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -263 - -359. Let i = 16 - 4. What is the highest common divisor of z and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221 - -10101012?\nAnswer: 10100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-8)\/m*m\/(m\/m**0) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33357841, 66715652, 100073463, 133431274?\n\"Answer: 33357811*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z = 13626 + 9777. Solve 2 = z*t - 805*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 21*b**2 - 99*b - 11. Let o be j(-13). Let y = o - -96. Solve y + 24 = 11*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (13\/(-12)*-3)\/((-31)\/(-124)). Sort 3, s, 5, -7 in ascending order.\nAnswer: -7, 3, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + f**2 - 2*f**2 + 46.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40223\/3 - 13417. What is the second biggest value in g, -2\/25, -2\/17, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g**(-2)*g))\/g*g)\/g)\/g)**5*g**(3\/10)*g**(-24) assuming g is positive.\nAnswer: g**(-237\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**6\/600 - j**5\/300 + j**4\/120 + j**3\/30 - 7*j**2\/2 + 2. Let b(q) be the second derivative of n(q). Factor b(i).\nAnswer: -(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64440 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 9*o**2 - 4*o + 162. Is p(11) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34936, -34966, -34996, -35026, -35056?\nAnswer: -35086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/60 + (-10440)\/160?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**8\/42 - s**4\/4 + s**2 - 8*s. Let b(v) be the first derivative of r(v). Find the second derivative of b(m) wrt m.\nAnswer: 160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2367\/7 + 7087\/21. Let p = 3 + -4. Which is the third biggest value? (a) p (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q**2 + 2*q. Let r(n) = 172755*n. Determine r(d(g)).\nAnswer: -863775*g**2 + 345510*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 - 4*o**2 - 5*o - 4. Let s(f) = 7*f**3 + 8*f**2 + 11*f + 9. Let x(y) = 13*n(y) + 6*s(y). What is the tens digit of x(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 537*k - 42. Let z(t) = 1611*t - 148. Calculate 7*s(y) - 2*z(y).\nAnswer: 537*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - r**2 - 18*r + 18. Let d be o(12). Suppose -798 = 9*p - 5145. Suppose p = 7*c - d. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -160?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -525 + -426250?\nAnswer: -430105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 1\/30*z**5 + 0*z - z**2 + 0*z**4 + 0*z**3 + 0. Let j(o) be the second derivative of o**4\/4 + 13*o. Calculate l(j(b)).\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Let z be ((-10)\/35)\/((-1)\/35). Suppose -n*y + y = -z. Solve -3*h - 2*c - 4 = 6, -3*h + 25 = -y*c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 + 6*f - 13. Let k be l(2). Suppose 36 = -0*s + 2*s. Let j = k + s. Are 4\/5 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 56 = -6*a + a, 41 = 5*a - 3*i. Let y be 125\/15*(2 - -4). What is the greatest common factor of y and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2316, -6, -4, -0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5855 + -22824.2\nAnswer: -28679.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 1:32 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6*2\/(-10))\/((-15)\/3550)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*m + 13, 13 - 28 = -3*u + 3*m. Let r = 43 - 35. What is the least common multiple of r and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - 2*z**3 + 3*z**3)*(2*z**2 - 4*z**2 + z**2) + 0*z**3 + z**5 + 0*z**3 - 65*z**5 + 4102*z**2 - 4102*z**2 + (-2*z + 1 - 1)*(-z**4 + 0*z**2 + 0*z**2).\nAnswer: -64*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -13*g + 6*g. Let m(o) = o**2 + 4*o - 2. Let h be m(g). Suppose t + j - 1 = 1, 0 = t + h*j. Solve 7 = a - 3*r, 0 = -0*a + 5*a - t*r + 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.5 (c) 0.3 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a = 54*a - 94*a + 385 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 2*p - 2*p)*(-2 + 2 - p)*(-4*p + 11*p + 5*p).\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*m**3*o**2*p**2 + 2*m**3*o*p**2 - 4328*m**2*o**2*p**2 + 12*m**2*o*p**2 - 377*p**2 wrt o.\nAnswer: -12*m**3*p**2 - 8656*m**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 8) + (100 - 109)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, k: 16}. Give prob of picking 2 k.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 1. Let q be p(1). Let h be (-14)\/(q*(-2)\/4). Solve 8*l + 3*t - h = 3*l, -2*l + 5*t = -5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 0 + -3 - 3. Which is the nearest to -1\/2? (a) t (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 16*t**2 - 3*t + 55. Let v be n(-14). Suppose -a + 660 = 3*u + 9, 0 = 2*a + 2*u - 1322. Let b = v + a. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -9. Let z = -0.01 - 0.29. Let r = h + z. Which is greater: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (10989\/(-132))\/(3\/(-372))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(170))\/sqrt(10) + (sqrt(85)*2 + sqrt(85) - sqrt(85))\/sqrt(5).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5100469 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 77*d**2 - 10*d**3 + 15*d**3 - 177*d**2 - 7 + 167*d**2. Let s(c) = -2*c**3 - 33*c**2 + 3. Determine -4*l(j) - 9*s(j).\nAnswer: -2*j**3 + 29*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6218 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 273 - -108?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-62)\/18 - (2 + -5). Suppose 22*l - 16*l = 18. Suppose 4*z + 1 = q, 2*q = l*z - 5 + 7. Which is greater: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**3 - 3*d**2 + 3*d. Let y(k) = 49*k**3 - 35*k**2 + 35*k. What is -35*c(j) + 3*y(j)?\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyyyxxyhhxxex. Give prob of picking 1 e and 1 h.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-32)*-4*0. Suppose v = -0*y + 13*y - 312. Find the first derivative of -15 + y*k - 7 - 8 wrt k.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, n: 1, i: 1, h: 3}. What is prob of sequence in?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3212080 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 880 and 18084000.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 462240 and 945.\nAnswer: 3235680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20420*a**3 - 3*a**2 - 6*a - 1976946.\nAnswer: -61260*a**2 - 6*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.16 - -0.84. Let k = -52 + 38. Is y equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*w + q + 9, -q - 15 = -3*w. Suppose 3*m - 3 - w = 0. What is the second derivative of -8*i - 7*i + 19*i + m*i**4 - 9*i wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((3\/(-18))\/1). Suppose 25 = d - 2*d + 5*z, -d = -z + 5. Find the second derivative of -47*g + 0*g**2 + d*g**2 + t*g**2 + 50*g wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**2)\/g*g**(-10))**(-34)\/((g\/g**1*g**4)\/(g**1*g)**(-2)) assuming g is positive.\nAnswer: g**400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124 by -1.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lizzddgzdzggzzedgi. Give prob of sequence dgd.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 88*y + 89. Suppose 25 = 2*h + 3*h, 11 = -t - 5*h. What are the prime factors of l(t)?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16103.\nAnswer: 16103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x. Let t(s) = -3*s + 1. Let u(y) = -2*d(y) - t(y). Let c(p) = 5*p + 3. Let r(i) = 2*c(i) + 6*u(i). Let j(z) = 2*z**2. Determine r(j(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/64)\/((-209)\/228)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vddvzvzdvdd?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31376501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*j - 273, -5*j - 2*n + 258 = -j. Suppose 3*m + j = -94. Let u = m + 263. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229170719?\nAnswer: 83, 2761093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1789*s**3 + 895*s**3 - 1 - 2525*s**3.\nAnswer: 159*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 4*z - 1. What is y(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccacyacay. Give prob of sequence yyc.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/7 - 63*w**2 + 2187*w + 15753\/7.\nAnswer: 3*(w - 89)*(w - 59)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3430800 to the nearest 10000.\nAnswer: -3430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 1 (c) 0.3 (d) 0.24 (e) -186 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 6*u - 30. Solve -4*f = 3 + u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 861 and 735567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*t = -128, -t - 92 = -3*l + t. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/12 and 58\/16941.\nAnswer: 67764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6574, 26, -1 in ascending order.\nAnswer: -1, 26, 6574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 + -29. Suppose -7*z = -k + 236. Suppose 4*u - 4*f + 112 = 0, 3*u + 65 = u - f. Do u and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 26 + 41 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(1\/(-12)). Let c be 1 - (-1 + w\/3). Factor o**2 - 3*o**2 + 2 + 2*o - 2*o**3 + c*o**2.\nAnswer: -2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 923007.\nAnswer: 10153077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 1)\/(((-20)\/12)\/(-5)). What is the units digit of 69\/((s\/(-6))\/(-1) - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308647343?\nAnswer: 19, 109, 149033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 24 = 4*m, -2*g - 2*g + 12 = -m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1425*x**2 + 1602. Let v(n) = -57*n**2 - 64. Let f = 182 - 29. Let b(s) = f*v(s) + 6*i(s). Differentiate b(d) with respect to d.\nAnswer: -342*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 3 - -4 - 3. Let z be 2\/(-5)*(-2 - -12). Let q be ((-2)\/6)\/(4\/(-60)). Sort q, f, z.\nAnswer: z, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 * -5\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a meter in millimeters?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*q + 42 = 208*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-23419)\/(-176) - (33 - (-18508)\/(-560))\/(8\/(-10))\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**2 + 44*m**2 + 41*m**2 - 1 + 161*m.\nAnswer: 99*m**2 + 161*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 2*c - 12. Let w be l(-6). Let r be w\/(-24)*60\/(-2). Calculate the highest common divisor of 6 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**8\/3360 - 7*y**5\/120 + y**4\/12 - 6*y. Let h(t) be the third derivative of k(t). Differentiate h(d) with respect to d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -183*b**3 - 60 + 95 - 48*b**3 - 73*b**3 wrt b.\nAnswer: -912*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-4)\/12 - -3. Solve -x*j - 12 = 2*w, -2*w = j + 2 + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 9:03 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*z**2 - 8*z**3 + 0*z**2 - 7*z**2 - 11*z wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-25554.\nAnswer: -1788.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 823472.2 litres?\nAnswer: 823472200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -241*g - 162. Let n be y(-15). Suppose 0 = 22*r + 637 - n. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-32)\/(-4))\/(3 + -1). Let u(o) = c*o**2 - 3*o - 4 + 7 - 1 - 1. What is the units digit of u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/24)\/(10920\/(-4680)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2972 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**4\/3 + 857993*g**3\/3 - 343198*g**2\/3 = 0. Calculate g.\nAnswer: -171599, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**2 - 6*z. Let g(q) = 7*q**2 + 7*q. Let a(n) = -5*g(n) - 6*h(n). Determine a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 53, 48, 41, 32, 21?\n\"Answer: -m**2 - 2*m + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72751920 divided by -3.\nAnswer: -24250640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**6*c)**50)**35)**3 assuming c is positive.\nAnswer: c**36750","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 3*k**2 + 2*k - 1. Determine b(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.833 rounded to zero dps?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 - x**4 + x**3 + (-3*x - 2*x + 6*x)*(0*x + 2*x**3 + 0*x) + (-3 + 0 - 2)*(3 + 2 + 2)*(-4*x**4 + 5*x**4 - 3*x**4).\nAnswer: 71*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.381558 millennia?\nAnswer: 238.1558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -t - 9, -c + 2*c - 5*t = 24. Let g be (3\/15 + c)*-5. Suppose -4*p = p - g*d - 92, 1 = p + 5*d. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19611480 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 133 = p + 4, 2*c = -4*p - 60. Let v = 9 - c. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 r when four letters picked without replacement from kfkkr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*x = 3*p + 5, 2 = -x. Let a = 317 + -314.42. Let f = -0.58 + a. What is the closest to p in -2, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 4 - 2)*(9*t - 50*t - 77*t)*(t**2 + t**2 - t**2).\nAnswer: 826*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18379 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 8 - 20 = 0. Suppose -2*f = z*f - o - 100, f + 4*o + 1 = 0. What is the greatest common divisor of f and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**5 + 2*b**4 + 34*b**3 + 34*b**2 - 2*b + 2. Let h(w) = -w**4 - w**2 + w - 1. Let y(t) = 2*h(t) + z(t). Find the third derivative of y(m) wrt m.\nAnswer: -120*m**2 + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 16*f - 11. Let v be i(17). Let c be (9 + 1)*3\/v. Solve -c*s - 25 = -0*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(19) + -1)**2 - -6*sqrt(57)\/sqrt(3) - ((1*sqrt(304))**2 + (sqrt(19) + 2*sqrt(19) + 5)**2).\nAnswer: -475 - 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -o - 130. Let t = o + 4. Let s = 7 + t. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 11*g - 7. Let t be m(2). Suppose 5*k + 5*o = 121 - 26, 3*k = 3*o + 45. Let x = k - t. Solve -3*l = 4 + x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5000 and 8097625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -148*k*l*y + 32*k*y - 2*k - l**2*y with respect to l.\nAnswer: -148*k*y - 2*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z**3 + 175*z**2 - 315*z - 90 = 0.\nAnswer: -1\/4, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + 3*t**3 + 0*t**3 + (-2*t**2 - t**2 + 2*t**2)*((11 + 17*t - 11)*(9 + 4 + 10) + (0 - 1 - 1)*(-6*t + 1 - 1)).\nAnswer: -402*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 6865\nAnswer: -52\/6865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 14843294054.\nAnswer: 14843294057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -168 divided by -14\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 74. Let k(s) = 23*s**3 - 2*s**2 + 2*s. Let l be k(2). Suppose o = -4*o + l. What is the remainder when o is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*i**4 + 36263*i**3 - 217687.\nAnswer: -96*i**3 + 108789*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 38. Let j be m(21). Suppose y - 2*u = j + 418, 0 = -y + 4*u + 426. List the prime factors of y.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from kggrrrggyryryt?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.23? (a) -27 (b) -305 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -299 + 2*x + 299. Let r be u(2). Factor -2\/5*s**r + 0 - 2\/5*s - 6\/5*s**3 - 6\/5*s**2.\nAnswer: -2*s*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i + 5*v = 45, -2*v + 48 = 2*i. Let x = i + -23. Solve 5*q + x = 2*g - 11, 2*q + 4 = 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -1 (c) 717\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*z**3 + 45*z**2 + 0 + 0 - 60*z**3 + 120*z**3.\nAnswer: -4*z**3 + 45*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03984 + -0.041. Round l to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -2*h**3 - 4*h**2 - 5*h + 17. Let m(l) = 7*l**2 + 9*l + 6. Let d(y) = 6*g(y) + 5*m(y). Suppose d(p) = 0. Calculate p.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -69. Suppose 0 = -2*n + 3*i - 29, -2*n = -6*n - 5*i - 47. Let x = o - n. Solve -8 = x*u + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21555501 divided by 1959591?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2455 + k**3 + 27*k - 2527 + 4*k**4 + 4983 - 2*k**2 in the form g*k**2 + c*k**3 + s + t*k + b*k**4 and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 4*t - 396. Solve t*i = 130*i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 182 - 197. Suppose -5*s + m*f = -3*s - 61, -5*f - 55 = -2*s. Calculate the remainder when s is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13632 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*x = 253*x - 124*x. Sort 31, 4, x, -1 in ascending order.\nAnswer: -1, x, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5030185 + -15613185. Round i to the nearest one hundred thousand.\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16a293 (base 12) to base 2\nAnswer: -1011111011100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 1\/24*l**6 - 1\/10*l**5 + 11\/6*l**3 + 0 + 9*l**2 + 0*l**4 + 0*l. Let m(h) = -2*h**3 + 2*h**2 - 4. Calculate 11*m(q) + 4*v(q).\nAnswer: -2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 - 54*d**3 - 132*d**2 + 464*d.\nAnswer: 2*d*(d - 29)*(d - 2)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 5*m + 12. Give b(9).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -887376.9144 and 3.\nAnswer: -887373.9144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*b**3 + 62*b**3 - 24*b**2 - 66*b**2.\nAnswer: 2*b**3 - 90*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + j - 4, -4*u - 3*j = -269. What is the greatest common factor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -10*l**3 + l**2 - l - 1. Suppose 0 = -2*o - 1 + 5, 2*o = -3*s + 1. Calculate d(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -1774?\nAnswer: 9\/1774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -107*k**2 - 11*k - 11. Let u(f) = -53*f**2 - 6*f - 6. Give 6*m(n) - 11*u(n).\nAnswer: -59*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 920\/24*630\/805?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (10 - 6) + -5 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(12\/8*1). Suppose 0 = -y + 4, 3*c + 3 - u = -2*y. Find the second derivative of -23*a + 19*a**2 + c*a - 2*a wrt a.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4407 is divided by 66.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 + 3. Let l = -0.43 + 0.13. Sort 1\/4, d, l in descending order.\nAnswer: 1\/4, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**3 + 9*u**2 - 10*u - 37. Determine q(-4).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 7*j - 1. Let v be i(7). Let l = 6 - 10. Which is the second biggest value? (a) v (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 5:05 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5364)\/4470*5\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045586522 to the power of 1\/3, to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 631084621 - -1?\nAnswer: 631084622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 4. Let c = h - 1. Find s such that -s + c*s - s - 4*s**2 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 6:49 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1162 and 332.\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0541634 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001846 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.004, -1\/2, -5, -6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30906977?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 790 divided by 88807\nAnswer: 790\/88807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.00556 and 0.4.\nAnswer: 0.39444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**2 + 9740*h - 9735 = 0.\nAnswer: 1, 1947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 94 (c) 1 (d) 5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 401 * 9\nAnswer: 3609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92797 or -3354?\nAnswer: 92797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 14 + 1 - 16*g**2.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16323 - 133?\nAnswer: 16160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {k: 3, z: 2, j: 10}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 1, r: 2, a: 1, d: 5}. What is prob of picking 1 a and 1 q?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - 5 + 10 - 3*u**2 - u**3 - 4*u + 6. Let d = 140 - 145. Is p(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 366524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16503\/13 + -1268. Let z = 1311\/52 - c. Find the common denominator of z and -27\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 42 and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x - 2. Suppose 3*i = 3*r + 15, -2*r - 2*i + 3*i = 12. What is the units digit of b(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pop when three letters picked without replacement from {p: 3, k: 2, q: 7, r: 1, o: 2, f: 3}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (9 - (11 + -21 + 16))) + 38 + 2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -3*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2*w)**(-6\/5)\/(w**0)**(-30) assuming w is positive.\nAnswer: w**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8563?\nAnswer: 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2430)*-4)\/((sqrt(70)*2)\/sqrt(7))*2)**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 56548*v**2 - 6*v - 11. Is x(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 254 (b) -4\/7 (c) -22 (d) 3 (e) 1\/7 (f) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.291 (b) -1729 (c) 3\/2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1623, 3175, 4727, 6279?\n\"Answer: 1552*z + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/6 + -19\/12. Find the common denominator of m and -17\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (-29 - (-20 + (24 - 20)) - -112)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37037 is divided by 17096.\nAnswer: 2845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4292*q**4 - 6465*q**2?\nAnswer: -103008*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w**3 + w**3 + 0*w**3)*(-2*w + 5*w - 4*w) + 10*w + 21*w**4 - 5*w - 15*w**4 to b*w**2 + x*w + i*w**4 + u*w**3 + m and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/11*(-23)\/23. Which is the nearest to 0? (a) o (b) -2 (c) -0.3 (d) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16335902.\nAnswer: 2, 11, 742541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 15394700 to the nearest ten thousand.\nAnswer: 15390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 2. Let n(c) = -5*c + 8. Let a(v) = -9*i(v) + 2*n(v). Let r = -8 + 4. Let l be a(r). Solve 0 = -j + l*j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010100111 (base 3) in base 7?\nAnswer: -232615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416 and 1028768?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -4*r - 6*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 17744480?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 7 and -114484544581328.\nAnswer: -114484544581321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 2 - 12 - -13\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10*q + 1. Suppose -y + 2 + 2 = 0. Suppose 2*a = 3*a + 3*x + 27, -y*a - 81 = 3*x. Let d = -3 + 1. Let c(u) = u. Calculate a*c(s) + d*r(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34\/(-80) + (-4)\/(-10). Let r = 674 - 668. Let k be 1 + 0\/(6 + (r - 14)). Which is bigger: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 3*w**2 + 2*w + 8. Suppose 4*r - 43 = -r - y, 5*r = -4*y + 37. Let a be (-4)\/(1 - (r + -7)). Give s(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**4\/3 + r**3\/3 + 5*r**2\/2 + r. Suppose 3*w = 16 - 1. Is q(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*q = 13 - 3, -2*m - 4*q = 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 1:32 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Suppose 3055 = r*a + 11*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6876*j + j**2 + 3*j**2 + 6894*j - j**2 - 13770*j - 5*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 63 = -5*f - 16, 0 = -2*f + 3*l + 34. Suppose 0 = 4*s - 37 - f. Is 0 + s\/(-3 - -4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 449*q*y**3 + q*y**2 + 6*q*y + 17907*q + 21*y**3 + 166*y**2 + 63*y + 1 wrt y?\nAnswer: 2694*q*y + 2*q + 126*y + 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**2 + a**2 - 8*a**2 + 684*a**3 + (-a**2 + 3*a**2 + 0*a**2)*(5*a + 0*a - 3*a) - a**3 - 2*a**3 + 4*a**3.\nAnswer: 689*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 667938 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + 22. What is the lowest common multiple of -6*(-3)\/n - (-326)\/10 and 63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 + 7 + 0 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2. Let f(q) = -q**2 + q. Let m(h) be the third derivative of -h**5\/12 + h**4\/6 + 4*h**2. Let s(c) = -4*f(c) + m(c). Calculate k(s(n)).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -457 * 1.9397\nAnswer: -886.4429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1389 and -65\/606?\nAnswer: 280578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0*u**5 + 9*u**3 + 7 - 4 - 5*u - u**2 - 7*u**4 + 7*u**5. Let t(q) = -q**5 - q**4 - q**3 + q**2 + q - 1. Let k(o) = -3*t(o) - z(o). Factor k(w).\nAnswer: -2*w*(w - 1)**3*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, 2, -4, -2 in increasing order.\nAnswer: -4, -2, 2, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -11, -47\/5, 226\/25?\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -b08 (base 16) to base 11\nAnswer: -2138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-27)*(-11 + -58) + (-17)\/153. Solve 2*t = 3*z - 13, -14*t - d*z = -15*t - 24 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 25362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 1:21 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 103*m + 2. Let u be k(1). Let r = 107 - u. Solve 4*h = 3*b - 3, b - r = -b + 4*h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbb. What is prob of picking 4 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(114)\/sqrt(3))\/sqrt(2))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 34. What are the prime factors of d + (1\/1 + 210)\/1?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 18689.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2106406, -8425629, -18957676, -33702553, -52660266, -75830821?\nAnswer: -103214224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/1764*387*140\/10?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12928\/33 - -4313\/11. Factor 0 - 7\/3*a**2 - 5\/3*a**4 - 2\/3*a - y*a**5 - 3*a**3.\nAnswer: -a*(a + 1)**3*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10251100501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/3, -99, -5, -1\/3 in decreasing order.\nAnswer: -1\/3, -2\/3, -1, -5, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25648 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 - 10*h - 10. Suppose 4*q + 14 + 38 = 0. Let b(s) = 8*s**2 + 19*s + 19. Let f(v) = q*p(v) - 6*b(v). Factor f(d).\nAnswer: 4*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7)\/14 + (-41)\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**2 + 4*o**2 - 12*o**3 + 2*o**2 + 0 - 4*o**2 + 2 to the form j*o**3 + x*o + p*o**2 + g and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(567)*1 + -3)*-3)**2.\nAnswer: -12150*sqrt(7) + 129600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/45*3*18 + 4\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 5 + 39. Let g = 35 - q. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -0.1991, 1\/9, -387, -4, 0.1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12584 = 3*s + 4*y, 27*s - 31*s - 2*y = -16772. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/16)\/3 - 658\/8. Let v = r + 86. Solve -b - v*b - 5 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*4*(sqrt(84)*1 + sqrt(84)))\/((sqrt(120) + (sqrt(120) - (sqrt(120) - (sqrt(120) - 4*2*sqrt(120)))))\/(2*(sqrt(10) - 2*sqrt(10)))).\nAnswer: 32*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.0392, -2\/3, -4, 3\/8, -0.01, -0.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*sqrt(245)*-1 + -5 + (sqrt(245) + (sqrt(245) + -1 + sqrt(245))*-6 - sqrt(245)*2*-3))**2*-1.\nAnswer: -984 - 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 4*r = -10, 3*o - 4*o + 2*r = 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*3\/9 + 32 - -2. Suppose 2*l = -c + 465, -c = l - 66 - 165. Calculate the highest common divisor of w and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 3*o + 2. Let k be u(-5). Let x = k - 10. Suppose -x*g + 110 = -0*g. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, k: 3, c: 2, n: 10}. What is prob of picking 2 k, 1 c, and 1 n?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10454599, 10454601, 10454603, 10454605, 10454607?\n\"Answer: 2*c + 10454597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 16*w + 2558. Let f(i) = 11*i + 1689. Calculate 8*f(u) - 5*m(u).\nAnswer: 8*u + 722","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 14*f**3 + 19*f**3 + (0 - f + 0)*(-4*f**2 + 6*f**2 - 3*f**2) + 2*f**3 - f + f + (4*f**2 - 4*f**2 + 2*f**2)*(5 - 5 + 2*f).\nAnswer: 38*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14412, 57628, 129656, 230496, 360148?\nAnswer: 518612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -664 - -664.3. Let y = -65\/504 + 1\/56. Which is the nearest to -1? (a) y (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39836\/5 - 7966. Determine g, given that o*g - 2\/5*g**2 + 8\/5 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4480 = -6*a. What is a rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 619605092?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -917846\/5 - -182811. Let m = 758 + q. Which is the biggest value? (a) m (b) 3 (c) 1\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(55) - sqrt(2695))\/sqrt(5).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 585*t.\nAnswer: -3*t*(t - 195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (6\/(-15))\/((-4)\/10). Suppose 5*k + 48 + 52 = u. Is 44 a factor of (-7)\/(63\/30)*408\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746638?\nAnswer: 2, 577, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -110*y - 11 + 596 + 1065. Calculate the remainder when 255 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1. Suppose 5*b + 25 = 0, -7*v + b = -3*v - 5. Let f(j) = -j - 5. Let u be f(v). Let g(k) = -k**3 + 2*k - 5. Calculate u*t(r) + g(r).\nAnswer: -r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 5:45 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 5*x + 2. Let y be (4 + 64\/(-10))\/(9\/(-30)). Let g(b) = -b**3 + 9*b**2 - 10*b + 11. Let n be g(y). What is k(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/515685 and -167\/630.\nAnswer: 21658770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -557, -563, -569?\n\"Answer: -6*f - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + -4 + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvlcqjxqlqxqqq. What is prob of picking 3 v and 1 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562 - 1238*n**2 + 3874*n**2 + 562.\nAnswer: 2636*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + o - 22 = 5*z + 5*o - 8, 3*o = -18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8219215 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1 + 129*q - 52*q - 29*q - 51*q - 2*q**2. Let v(g) = -3*g**2 - 2*g + 1. Determine -4*o(m) + 6*v(m).\nAnswer: -10*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 2. Find the first derivative of 31*m**4 - 14*m**4 + 5*m**2 - a*m**2 + 13 wrt m.\nAnswer: 68*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c - 4. Let q(m) = -m + 1. Let h be 7 + -3 + 32\/(-8) + -2. Determine h*q(f) - k(f).\nAnswer: -8*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 77*k**2 + 484*k + 350. Is v(-83) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -621, -1241, -1861, -2481?\n\"Answer: -620*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1115\/(-223) - (2 + 3 + -2))\/((-8)\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*m = 1777 - 649 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d + 3*x - 228, -536 = -5*d + x. Let l = d + -72. Let u be ((-456)\/l)\/((-2)\/3). What is the greatest common divisor of u and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-103499)\/452270 + 1 + 0. Let y = o - 27\/4615. Calculate the common denominator of y and 546\/40 + -292 + 279.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*4\/(-4)*8\/((-32)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/4 (b) 0.5175436 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.018 * -3\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5\/2 - 221*y**4 - 31958*y**3 - 1421100*y**2 + 12960000*y - 27000000 = 0.\nAnswer: -150, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -339, -539, -751?\nAnswer: -975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba9b2a (base 12) to base 9.\nAnswer: 5513587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3\/11, 0.4, 5, -0.3 in decreasing order.\nAnswer: 5, 0.4, 3\/11, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/7 and 40\/1689.\nAnswer: 11823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pddddpddpddddpdp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwnkscct. What is prob of sequence ksc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13927, 6, -2 in descending order.\nAnswer: 13927, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/10 + (118972\/96)\/7. Let u = -927\/8 + d. Let t = u + -61. What is the biggest value in 0, t, -3\/4, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21239*z + 0*z**2 + 1 + 128594*z - z**2 + 83576*z + 1.\nAnswer: -z**2 + 233409*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-816)\/153)\/(386\/(-5211)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, l: 3}. What is prob of picking 1 l and 3 b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 8:16 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 w when three letters picked without replacement from {z: 10, w: 2, c: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 372.\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12858 or 0.2?\nAnswer: -12858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2204, -2293, -2452, -2681, -2980, -3349, -3788?\nAnswer: -4297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000332426 rounded to seven decimal places?\nAnswer: 0.0000332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19461, -38877, -58293, -77709?\nAnswer: -97125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1210520*x**3 + 60585*x.\nAnswer: -7263120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1254341, -2508569, -3762799, -5017031, -6271265, -7525501, -8779739?\nAnswer: -10033979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 42*p**3 - 1929*p**2 - 3720*p - 1836.\nAnswer: 3*(p - 34)*(p + 1)**2*(p + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3594851 and -9.\nAnswer: 3594842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0 - 1\/16*k**6 - 5\/168*k**7 + 0*k + 11\/240*k**5 + 1\/8*k**4 - 33*k**2 - 1\/6*k**3. Factor v(n).\nAnswer: -(n + 1)**2*(5*n - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266824 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10\/34*17\/((-255)\/6)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82.49 + -86.49. Which is the nearest to -0.4? (a) 0.2 (b) -2\/9 (c) 7 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 356902847 to the nearest integer?\nAnswer: 18892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -128864?\nAnswer: -644320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15079 is divided by 91.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 + 679\/8. Let x = 870 + -870.4. What is the third smallest value in o, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - 0.5. Let k = 0.38 - -0.02. Let q = k + -0.3. Which is the closest to q? (a) -0.2 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 15*h - 133. Let x be n(9). Solve 4*c - x*c = -u - 9, 2*u - 27 = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2249345, -8997383, -20244111, -35989529, -56233637?\n\"Answer: -2249345*k**2 - 3*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30451 + -30451. Solve y = 108*p - 112*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000010 (base 2) to base 11.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/10 of a litre?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 4, h: 4, o: 1, x: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*a = 13*a + 109678. What are the prime factors of a?\nAnswer: 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246479 divided by 11\nAnswer: -246479\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*r + 12*r - 7*r)*(35*r + 4179 + 4182 - 8359) in the form g + u*r + m*r**2 and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**2 + 2*c + 7. Let y(h) = -9*h**2 - 3*h - 10. Suppose 0 = -279*g + 236*g + 301. Determine g*z(s) + 5*y(s).\nAnswer: -3*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/11, 18\/17, -0.2, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*u + 2*u**2 + 5*u - 5*u + (-17*u - 8*u**2 + 17*u)*(5 - 3 - 4) + u**2 - 4*u**2 - u**2 - u**2 + u**2 + u**2.\nAnswer: 15*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x**5 - 561*x**4 + 5796*x**3 + 78204*x**2 + 49392*x = 0 for x.\nAnswer: -7, -2\/3, 0, 28, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 27*g = -25*g + 6, 2*m = g - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27882461, -27882463, -27882465, -27882467, -27882469, -27882471?\nAnswer: -27882473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.1987399 rounded to two decimal places?\nAnswer: 195.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.162 and 1.1.\nAnswer: 0.1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, 3, -8, -18 in decreasing order.\nAnswer: 7, 3, -4, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -142*h + 7*h - 997*h + 6931*h + 6136*h as w + b*h and give b.\nAnswer: 11935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/9 + 1312408*f\/9 + 1312406\/9.\nAnswer: 2*(f + 1)*(f + 656203)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353 + 1185 = -208*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 divided by -37.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 11:45 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -12. Let j = k + 9. What is the least common multiple of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1352.5 + 1353. What is the closest to 1 in u, -2, -1\/4, 1\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + j - 3*j, 4*u = 3*j. Let x(f) be the third derivative of 2*f**2 + 2\/3*f**3 - 1\/6*f**4 + 0*f + u. Find the first derivative of x(s) wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(6\/5)*k*k)\/(k*k*k*k**(-2)*k))\/((k**(-2)*k)\/k**(-3)))**29 assuming k is positive.\nAnswer: k**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 190447987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -89271 (b) 2\/37 (c) 3 (d) -5 (e) -0.4 (f) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c - 22 + 21 - 3*c + (-1 + 1 + 2)*(-2*c + 2*c - c) in the form g + u*c and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-112)\/52)\/(-14) + 7860\/(-390).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 61*x**2 - 4*x - 49. Let u(s) = 59*s**2 - 6*s - 48. Let q(g) = 6*m(g) - 4*u(g). Find the first derivative of q(l) wrt l.\nAnswer: 260*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 8 + 8. Let o be a\/(-10) - (-537)\/5. Suppose -3*c + 4*i + o = -40, 144 = 3*c - 5*i. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(3\/(-12))\/(533\/104*4).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2130205 divided by -426041.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + 3233?\nAnswer: 3313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 264306 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1\/b*(b**(-1\/20)\/b)\/b)\/(b**(-1\/9)\/b*b*b\/(b\/(b\/(b*b**8\/b*b)))) assuming b is positive.\nAnswer: b**(1091\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34\/3 + 2\/3. Let k = 5\/6 - y. Determine t, given that 10*t**2 + k*t**3 + 0 + 7\/2*t**4 + 2*t = 0.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 23. Suppose b - 6 - u = 0. Suppose b*y = 9*y - 575000. Round y to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**4 - 745*j**3 + 790*j**2 + 5940*j - 9000 = 0?\nAnswer: -150, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 5*z**3\/3 + 45*z**2\/2 + 1498. Find a, given that u(a) = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 130 - 118 = 0. Let i = -122 + 192. Let m = i + -212\/3. What is the nearest to m in -0.4, o, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -440.471064?\nAnswer: 442.471064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2152410 and 58115070?\nAnswer: 58115070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 77.378 centuries?\nAnswer: 773.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46836, -92937, -139040, -185145?\nAnswer: -231252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2300010 (base 4) to base 6.\nAnswer: 124100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76230072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.0231.\nAnswer: -0.0693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 3:01 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 34765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*o + 298*o - 96*o - o + 0*o + 2*o + (-1 + 2 - 2)*(-1 + 1 + 2*o) as a*o + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2049472.\nAnswer: 2, 31, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -161621 divided by 7027?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 8, 3*k + t - 4*t = 24. Suppose -3*l + 0*c = 5*c + 67, 0 = 3*l + 4*c + 65. Let u = 33 + l. What is the least common multiple of u and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 - 42*s**2 + 35*s + 105. Does 19 divide l(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from jlmlmlllmmmmllddllm?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*sqrt(324))\/((sqrt(12) - (sqrt(12) + sqrt(108)))*5) - (sqrt(216)\/(sqrt(24)\/sqrt(6)))\/(sqrt(100)\/sqrt(2)).\nAnswer: -21*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1920 divided by -1111\nAnswer: 1920\/1111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 798991030 to the power of 1\/3, to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -157928 divided by -3\nAnswer: 157928\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 436*d**2 - 2886*d - 4464. What is the derivative of u(j) wrt j?\nAnswer: 872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*l*o + a**2*l - 1709*a**2 - 10*a*l + a - 23*l*o - l - 867*o**2 with respect to o.\nAnswer: 2*a**2*l - 23*l - 1734*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184 and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117054 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -o - 2*o. Let a(u) = -4 + 3 + u - 5*u**3 - 2*u. What is the units digit of a(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-15)\/9*-9*(-4)\/(-3) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 739 and 4105663039.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 272*a + 10. Calculate the remainder when q(1) is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 7*p**2 + 4*p + 5. Let k = -21 + 15. Let s be n(k). Suppose -s + 16 = -w. What is the greatest common divisor of w and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9665109l to millilitres.\nAnswer: 966.5109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjc when three letters picked without replacement from {j: 3, c: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4 - 3*s**2 - 5*s + 2*s**2 + 0. Let f be v(-5). Calculate the greatest common divisor of 12 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2*(-4)\/(-192))\/(6\/328) and 93\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(171) - ((6*(1 + sqrt(19)) - sqrt(19)) + sqrt(19)).\nAnswer: -9*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46470 plus -2016185?\nAnswer: -1969715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23956 - 15192. Does 45 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.74 + -6.64. What is the third smallest value in -11, -3, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.3 - 2.3000007. Round p to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -977, -2058, -3141, -4232, -5337, -6462?\nAnswer: -7613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.07, 161, -140?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 480*c + 835*c + 109*c + 312*c in the form v + r*c and give r.\nAnswer: 1736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868695547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10462549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117856114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l - 3*b - 18, 2*b = -5*l + 5. What is the least common multiple of (l\/(-2))\/(6\/(-12)) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -179*r**4 + 20*r**2 + 19080*r.\nAnswer: -2148*r**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20333 (base 4) in base 7?\nAnswer: -1451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 62 = -7238*i + 7239*i, 5*c - 4*i = 68 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 448*r**2 + 617*r - 617*r + (3*r + 0*r - 2*r)*(r + 0 + 0).\nAnswer: 449*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnn when three letters picked without replacement from {t: 1, d: 1, n: 6, l: 1}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjs when three letters picked without replacement from {j: 3, s: 2, y: 3, h: 4, z: 6}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 517714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.5 - 18.500000346. Round z to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 11:35 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 25*r - 130 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24db1 (base 14) to base 15.\nAnswer: -1bc41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -119e4e (base 16) in base 11?\nAnswer: -719551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 15*z. Let b be y(2). Calculate the remainder when (-1)\/((-10)\/3 + 3) is divided by (-6)\/b + 11\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 5895657?\nAnswer: 41269599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9105632?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**4 + 3824*n**3 + 246116*n**2 + 1158184*n + 1362432 = 0?\nAnswer: -887, -64, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*g + 102*g = -58*g - 47628. Solve -g*c = -758*c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(-17\/2)\/l)*l)\/l*l\/(l*l**0\/l*l) assuming l is positive.\nAnswer: l**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - c + 8 = 0, h = -16*h - 34*h - c - 98 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 8. Let m(b) = 1 - b - b + 2*b - b. Let s(x) = 4. Give d*s(c) - 2*m(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-25))**(-6))**(-12))**(-13) assuming o is positive.\nAnswer: o**23400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 3. Let v = 1136 - 1071. Calculate the greatest common divisor of b and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 1\/56?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 36 = c. Let p = c + -8. What is the highest common factor of p and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:03 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*z + 15*z = 18*z + 560 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 142 or -171?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1467 is divided by 244?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -1 - (-2 + -1). Suppose o = -m*n + 1 + 4, 4*n = -3*o + 15. Suppose -12 = -3*a - n*a. Solve -2*y - 2*y - a*c - 8 = 0, -4*c = 5*y + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -57?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45264 and 4231200?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 59. Let d(m) be the first derivative of 0*m + 0*m**5 + m**2 + 1\/2*m**6 + 0*m**4 + 3 + n*m**3. Find the second derivative of d(u) wrt u.\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39450666 is divided by 2320627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + d - 3 + 3.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 at most 44065\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8861, 17728, 26593, 35456, 44317?\n\"Answer: -d**2 + 8870*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -20*g - 9. Let u = -203 + 202. Let v be o(u). Let j = 13 + -8. Sort j, v, -1 in ascending order.\nAnswer: -1, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 divided by -2?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - a**2 + 4 - a**3 - 6 to the form c*a**3 + n + k*a**2 + h*a and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*f - 12, 0*q = -2*q. Let o(l) = -3*l**3 - 8*l**2 + 0*l**3 - 2 - 3. Let c(p) = -p**3 - 3*p**2 - 2. What is f*o(h) - 11*c(h)?\nAnswer: -h**3 + h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - -1.1. Let v be 4\/(-6) - 10\/3. Sort 0, v, q in increasing order.\nAnswer: v, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0 + 1\/3*t**3 - 3*t**2 - 1\/12*t**5 + 43*t - 1\/24*t**4. Give q(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 12 = a, a - 13 = h + 29. Let k = a + -34. Suppose 0 = -k*z + 43 + 8. Solve -z + 2 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 3:34 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 21 = -2*l, -l + 7 = 4*o + 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-6*sqrt(175)*-2 + sqrt(175)) - (0 + sqrt(175) + 0 + ((sqrt(175) + 1)*-2 - sqrt(175))))**2.\nAnswer: -1260*sqrt(7) + 694579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.941152 centimeters in nanometers?\nAnswer: 29411520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -362, -366, -532, -992, -1878?\n\"Answer: -22*c**3 + 51*c**2 - 3*c - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-330)\/(-1485) + 313\/9. Solve u*f = 160 + 50 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + (2 - 2))*1. Let s be 2716\/(-686) + (9 - -15)\/6. Which is the closest to s? (a) u (b) -0.5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38633 - -38635. Calculate the highest common factor of 149 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/15346 or 1?\nAnswer: 5\/15346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*u + 21, 1 = u - 0. Let b(a) = 5*a - 6. Let n(l) = -2*l + 3. Let k(p) = s*b(p) + 9*n(p). Differentiate k(q) with respect to q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 1)*50\/25. Solve -4*i = -z*y, -2*i = 2*i + 3*y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (200 - 200 + 26*l)*(1 - 4*l + 4*l + 2*l)*(-4*l + 0*l + 2*l**2 + 0*l).\nAnswer: 104*l**4 - 156*l**3 - 104*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 284420*n - 124101150.\nAnswer: 2*(n - 142645)*(n + 435)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 33*y + 126 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 4\/15, -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 0, 189, 3, -40 in descending order.\nAnswer: 189, 3, 0, -2, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -290481221*m**2 + 4486960*m + 21 wrt m.\nAnswer: -580962442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 7*s**2 - 5*s - 8. Let n be w(-6). Is (-8603)\/n + (-1)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 422*5\/50 + 2\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -266, -261, -254, -245, -234, -221?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/12 - (((-88)\/(-24) - -5) + -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/10 - 7*l**4\/10 + 9*l**3\/5 - 2*l**2 + 4*l\/5 = 0. What is l?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 1)*(-580*y + 276*y + 7 - 1070*y - 7) in the form j*y + p and give j.\nAnswer: 1374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67687 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30303 (base 5) to base 4.\nAnswer: -132201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5169641 meters?\nAnswer: 51.69641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 151*d - 1 - 150*d + 298*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 233988, 469078, 704168, 939258, 1174348?\n\"Answer: 235090*s - 1102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-5)\/(10\/16). Let f be ((-1)\/((-3)\/w))\/(-1). Suppose 112 = 10*p - f*p. Let d(x) = -x + 2. Let s(h) = 4*h - 7. Calculate p*d(n) + 4*s(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209) + sqrt(209)*-3)*5)\/sqrt(11))**2.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*b = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.153 + 0.147. Let v(f) = f**2 - 3*f. Let g be v(4). Let n(w) = w + 2. Let z be n(7). Which is the third biggest value? (a) z (b) -0.5 (c) g (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 162222, 324452, 486684, 648918, 811154, 973392, 1135632?\n\"Answer: q**2 + 162227*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmwqmmvt. What is prob of picking 1 m and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/65 and -49\/72189.\nAnswer: 360945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4890 + 4885. Let m = -101\/1890 - 1\/270. What is the closest to 0 in 2\/11, l, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + 5*j - 5*j + (-3*j + 0*j + j)*(3 - 3 + 1) + (2 + 2 - 3)*(-2 - 2 + 0)*(1 + 2*j - 1) as i*j + t and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 2*q - 13, 22 = -5*q + 4*x + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 5:26 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, j: 4, t: 4}. Give prob of picking 1 t and 2 j.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*t**2 + 100*t - 192*t + 62*t to the form b*t**2 + u*t + y and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*f**2 + 17*f**2 - 31*f**2 to n*f + o + w*f**2 and give w.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8030 = 4*c - 15782. Let t = -59483\/10 + c. Calculate the common denominator of 83\/14 and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9*0.02142.\nAnswer: 0.040698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-1) + 2)\/(1\/(-4)). Solve -20*i + d*i - 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - 59)\/(34\/(-51)). Suppose -3*s = s - 1408. What is the greatest common divisor of o and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201 - 68 = 19*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2949073*0.4\nAnswer: -1179629.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 15 = -c. Suppose -u - 4 = c*x - 15, -7 = -4*x + u. Find the first derivative of -9*i**x - 25*i - 1 + 25*i wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35778.49 rounded to the nearest ten?\nAnswer: 35780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 27 + 7 - 34 + 8*u.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjjlujhjjhxuxxxjl. What is prob of picking 1 y and 1 h?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2531034 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*b, 8*n = 5*n + 5*b - 53. Let p = 29 + n. Suppose o + 11 = 5*m, 5*m - 5*o = -6 + 21. Solve -m = z - p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 4:57 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6128 and 1532?\nAnswer: 6128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 1, n: 2, h: 1, v: 2}. What is prob of sequence mh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {h: 1, j: 4, b: 1, l: 5, g: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, v: 3, m: 2, u: 2, n: 2, a: 2}. What is prob of picking 1 o and 2 u?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2570061.\nAnswer: 3, 13, 65899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 18.4. Let k be (-64)\/(-10) + 228\/(-38). Which is the nearest to 2? (a) 0.5 (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o**2*u*w**3 - 129*o**2*u*w - 4*o**2*w - o**2 - 33*o*w**3 wrt u?\nAnswer: -2*o**2*w**3 - 129*o**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(-1)\/(-36) + 245\/150. What is the third smallest value in v, -0.8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207471514 to the nearest integer?\nAnswer: 14404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 7. Suppose 5*l - d + 35 = 0, 2*l + 4*d = -3*l - 35. Let a be c(l). Suppose -p - x = -15, 5*x = 5*p - a*x - 125. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 3, 1046, -295 in ascending order.\nAnswer: -295, -63, 3, 1046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(3\/(-6)*-4). Suppose -2*v - f + 20 = 0, 3*v - s*f = -v + 40. Let d = v - 7. Solve 0 = d*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(19) - (sqrt(19) + 1)**2) - (sqrt(931)*5)**2) + (1 + sqrt(304) - (sqrt(570)\/sqrt(10))\/sqrt(3)).\nAnswer: -23291 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -13*n. Let v(z) be the first derivative of 142*z**3\/3 + 322. Calculate o(v(b)).\nAnswer: -1846*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*r + 0*r - 5*r)*(2 - 2 + 1) + r + 7*r - 2*r)*(-3 - 3 + 4)*(-14 + 2*r**2 + 14).\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 272754*o - 28606095.\nAnswer: -3*(o + 105)*(o + 90813)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, x: 4, s: 5, z: 1}. Give prob of picking 2 x.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 2540 and 2548 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/90)\/(((-4)\/2)\/(3\/99))?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -150*u**3 - 6 + 82*u**3 + 76*u**3 + 2*u - 8 as r*u**2 + g + q*u**3 + l*u and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4\/5 (b) 75 (c) -4 (d) 0.08 (e) -62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*2\/36*27\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -22, -122.\nAnswer: -122, -22, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1 + 1 = 4*c, 5*c = 10. Suppose -h*v = -0*v - 51. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183322 is divided by 61052?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -197034, -394031, -590958, -787815, -984602, -1181319, -1377966?\n\"Answer: 35*k**2 - 197102*k + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2 - 33420*p + 93074700 = 0 for p.\nAnswer: 5570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 4*x = 22 - 6, -4 = u + 2*x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-1683))\/(825\/3025)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 + 10*k + 14. What is the units digit of w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107 divided by 111\nAnswer: -107\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4. Let p be ((-3)\/(-2))\/(x\/6). Suppose 3*v + q - 2*q - 20 = 0, p*v = -4*q - 5. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3799400 rounded to the nearest 10000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1945 a factor of 32640990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a9295 (base 12) in base 5?\nAnswer: 222013214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-749)\/14 - (10\/(-4) + 3). Let j(i) = -i**3 + 10*i**2 - 8*i - 3. Let p be j(6). Let f = v + p. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 74. What is the remainder when v is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2225, 9295, 21025, 37409, 58441, 84115, 114425?\n\"Answer: -u**3 + 2336*u**2 + 69*u - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -828 + -1771. Let k = 684 + d. Let h = 1325 + k. Round h to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.049008327 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -9. Suppose i*t = 5*b + 3, 3 = 5*t - 2*t. Suppose 3*q - 2*n - 13 = 0, -5*n + b = -20. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 638\/363 - 12\/11. Let y = 0.019 + 11.981. Put g, -0.5, y in descending order.\nAnswer: y, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100220003331 (base 4) to base 16\nAnswer: -4280fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + (sqrt(468) - (sqrt(468) + -3 + sqrt(468)))*-6) + sqrt(468) + sqrt(468) + sqrt(468) + 0 + -1 + (-4 + sqrt(468) + sqrt(468) - sqrt(468))*6)**2.\nAnswer: -468*sqrt(13) + 4381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -9*g**3 + 11*g - 10. Let r(p) = 2*p**3 - 2*p + 2. Let m(l) = -22*r(l) - 4*t(l). Differentiate m(w) with respect to w.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4115014 (base 6) to base 2\nAnswer: 110000000010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -822, -7245, -24682, -58641, -114630?\n\"Answer: -918*m**3 + m**2 + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(4840)*5)\/(sqrt(512)*-6*-5 + sqrt(512)))**2.\nAnswer: 15125\/15376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*a = -38 - 6, 0 = -2*i + a + 16. Calculate the smallest common multiple of 26 and i.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1481907 and 348684.\nAnswer: 5927628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17\/66 + 10\/33. Sort f, -0.2, 2 in ascending order.\nAnswer: -0.2, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 96*q**2 + 199*q + 1090. Determine v(-94).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -1115\/6*y**3 - 310249\/6*y + 0 - 1\/6*y**4 - 311363\/6*y**2 = 0. Calculate y.\nAnswer: -557, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7. Suppose w = 5*b - 4*x + 429, -5*x + 4 + 1 = 0. Let n be (-5)\/8*2 + ((-3741)\/(-172))\/87. Are b and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101101011 (base 2) to base 7\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, and 1 a when three letters picked without replacement from {t: 2, a: 2, b: 1, h: 1, s: 1, p: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 10 (c) 367 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in -2\/5, -0.2, 1, 1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -162 + 51*q**2 + 162 in the form n*q**2 + t + g*q and give n.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 - 81*a**2\/4 + 5469*a\/2 + 5548.\nAnswer: -(a - 73)*(a + 2)*(a + 152)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1364613, 1365014, 1365683, 1366620?\n\"Answer: 134*x**2 - x + 1364480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 3*sqrt(1300))*5)**2.\nAnswer: 1500*sqrt(13) + 292525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmm when three letters picked without replacement from fftfmfm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -24. Suppose -c*j = -3351 - 69. Suppose 0 = 2*t - 494 - j. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + -3*sqrt(44)\/sqrt(4) + (-3*sqrt(77)*2)\/sqrt(7))**2.\nAnswer: 270*sqrt(11) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 + 91. What is the remainder when 3 - -3*51*u\/36 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 366157.9 nanometers?\nAnswer: 0.0003661579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 0*j - 41*j**2 + 0*j**4 - 25\/3*j**3 - 37\/60*j**5 + 0. What is the derivative of u(q) wrt q?\nAnswer: -74*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffbbbb. Give prob of sequence fbb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.2117nm to millimeters.\nAnswer: 0.0000592117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 427 + 81408?\nAnswer: 81835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 0.18, -1\/3, -0.4, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2f (base 16) in base 3?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.666445 decades in months?\nAnswer: 559.9734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k + 75. Let s be (-15)\/k - (-84)\/10. What is the greatest common factor of s and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.456729 rounded to two dps?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10076 - -60311\/6. Let f be 1426045\/300 + 2\/(-6). Let g = f + -4749. What is the common denominator of o and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-87)\/(-9) + -3)*(0 - -18). What is the highest common factor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(72\/92) - 4)*-418. Are j and 69 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1520 and 220.\nAnswer: 16720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**5 - 23*r**4 + 25*r**3 - r**2 - 6*r = 0. What is r?\nAnswer: -2\/5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*s - 44*s - 112 = -2*i, -2*i + 92 = 5*s for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*l + 9116 = 507*l - 276*l for l.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**2 + 32*r + 158. What is the remainder when 1687 is divided by y(-4)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 + 3*l**3 + 2*l**2 - 7*l**3 + 0*l**2 in the form v*l**3 + h + w*l + j*l**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39186402.\nAnswer: 2, 3, 601, 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 30 = -15*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -202?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11951, 10546, 8205, 4928?\n\"Answer: -468*a**2 - a + 12420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**3\/4 - 2753*t**2\/2 + 1101*t\/4 = 0.\nAnswer: 0, 1\/5, 1101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5537*s - 60848. Calculate n(-11).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -40379578.\nAnswer: -40379578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 563010\/99963 + 8\/232.\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 15*r = 45, -3*o - 14 + 1 = 5*r - 3 + 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119061, 2, 0, -0.1, -4 in descending order.\nAnswer: 119061, 2, 0, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**7\/168 + 7*w**6\/120 + 9*w**5\/80 - 7*w**4\/48 - 5*w**3\/12 + 144*w - 2. Let j(l) = 0. What is l?\nAnswer: -5, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**7\/1575 - l**5\/75 + 2*l**4\/45 - l**3\/15 + 33*l**2 + 2. Factor t(h).\nAnswer: 2*(h - 1)**3*(h + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:44 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 154 = -3*q. Suppose -p + 5*h = p - 151, p - 2*h = q. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -5899?\nAnswer: -18\/5899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**2 - 16*l + 5. Let o be s(5). Let q = o - 95. Does -20 = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 26765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 20 = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 9 = -j - 5*n, -2*j - 3*n = -7. Let -j*l**3 - l**4 - 2*l**4 + 4*l**2 + 7*l**4 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.3 + -1.3. Let w = -1343 - -1345. What is the nearest to 1\/3 in w, 2.7, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1634247636 by 6.\nAnswer: 272374606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 9) to base 13\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.552 - 37.448. Which is the third smallest value? (a) -2\/11 (b) 0 (c) n (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 228\/7, 0.089, 2\/7, -0.08, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 7*s**2\/2 - 2362. Let x(i) = 131*i**2. Determine x(y(q)).\nAnswer: 6419*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n**3 - 5407076*n**2\/7 - 174026354840*n\/7 + 16573987600\/7.\nAnswer: -2*(n + 64370)**2*(21*n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 35 + 145. What is u rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -289 - -340. What is the least common multiple of 6 and ((-126)\/(-15))\/(2 + g\/(-30))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.7, 11, -4, -48, -5, 1.\nAnswer: -48, -5, -4, -2.7, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3564379?\nAnswer: 7, 13, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -83, -302, -723, -1412, -2435, -3858, -5747?\nAnswer: -8168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7*g = -m - 8, g - 5*m - 14 = 0. What is the remainder when (g - -4) + -4 + 16 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42732 and 288?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 992806960 a multiple of 4940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.76 - -0.24. Let u = 308 - 240. Let i = u + -68.5. Which is the third smallest value? (a) r (b) i (c) -0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + d**2 - 2. Suppose 0 = 3*k - 0*k. Let b be r(k). What is the units digit of b\/(-6) + 2370\/45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b**3 + 2*b**2 + 2*b + 2. Let m(i) = -19*i**3 - 7*i**2 - 7*i - 7. Suppose 28 = 7*w - 3*w. Determine w*k(x) + 2*m(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*o**5*v - 131675*o**4*v + 670147*o**2*v wrt o?\nAnswer: 300*o**2*v - 3160200*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50 and -4190.\nAnswer: 209500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.39, -5, 1796?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/11*4\/30*3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1654?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145 (base 13) to base 9.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 32*r - 1. Let c(y) = -3*y**3 - 91*y - 4. Give -2*c(j) + 7*s(j).\nAnswer: -j**3 - 42*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -7. Let i(v) = 2 - 5 - v**3 + 3*v - 4*v**2 + 0*v - 2*v. Is 17 a factor of i(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 28, -32 in increasing order.\nAnswer: -32, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*sqrt(171)*1)**2 - ((sqrt(209)*-2 + sqrt(209))*-5)\/(5*(sqrt(11) - (sqrt(11) - (sqrt(11) - (sqrt(11) + sqrt(33)\/sqrt(3))))))) + -4.\nAnswer: sqrt(19) + 6152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t - 4. Let h be n(-4). Let u(c) = 4*c - 12. Let a be u(h). Let s be 1\/(-5) + 104\/a. Solve 3 = -s*p - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czz when three letters picked without replacement from {c: 4, z: 2, h: 6}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 133 - 2?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/9510614?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -59708226516.19?\nAnswer: 59708226516.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 2420 = 13*g. Let o = -345 + g. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(24\/13) - 4. Let v(z) be the second derivative of c*z**3 + 0*z**2 + 8*z + 0. Let f(i) = -4*i. Determine v(f(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -1 + (-1 - -5). What is the remainder when 78 is divided by (h + -1)\/((-2)\/(-8))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 13415*d - 93900. Determine p(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.76667 + 1.8866672. Let d = -37 + 36.88. Let s = k + d. What is s rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -477, -956, -1435, -1914, -2393?\n\"Answer: -479*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4228 = -15*n - 913. Is n not equal to 223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 21*g + 10. Let s(l) = -2*l - 1. Let c(p) = -5*m(p) - 40*s(p). Let k(z) = 17*z + 7. Determine 5*c(q) + 7*k(q).\nAnswer: -6*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - r**2 - 3*r - 2. Let b(z) = -z - 7. Let s be b(-10). Let y be i(s). What are the prime factors of (-152)\/(-7) - (-2)\/y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7618507 is divided by 19046.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1527*j - 83786 = 24631 for j.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32\/3 - 221\/21. What is the nearest to 0.2 in 3, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 5. Let h = r + 7. Let t = -433\/63 - -58\/9. Which is the second biggest value? (a) h (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2. Let m(z) be the first derivative of -1093*z**3\/3 - 4788. Determine h(m(y)).\nAnswer: -2389298*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**2 + 3*r**2 + r**2)*(-1050 - 1471 - 2279 + 32 + 741).\nAnswer: 8054*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -30*-0.65\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/5)\/(o**(-3\/5)\/o)*((o*(o*o**1*o)\/o)\/o)**(1\/6)*(o**(-1))**47*(o*o\/(o\/(o**(1\/7)*o)))\/((o*o*o\/(o*o**(1\/6)))\/o) assuming o is positive.\nAnswer: o**(-3049\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 168*n - 1508. Let p be d(9). Solve -14 = 6*c + p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 53, -3 in ascending order.\nAnswer: -3, -2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/25)\/(((-126)\/(-20))\/(-21)*-2)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0, 4\/9, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 e when four letters picked without replacement from {p: 7, e: 4}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -706, -4887, -12526, -23617, -38154, -56131, -77542, -102381?\nAnswer: -130642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5\/(-10))\/((-4)\/192)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 404 = -22. What are the prime factors of v?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3e2c (base 15) to base 13\nAnswer: -60a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 408 - 356. Solve -h = 15*k - 22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3566753 at least as big as -3566757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7660218 is divided by 6099.\nAnswer: 5973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 7*g. Suppose -5*y + 3*q + 3 = 0, 2*q = 2*y - q - 3. Suppose -3*c + y = 12. What is the tens digit of n(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21, -21, -732?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, -13, -3, 11, 29, 51?\n\"Answer: 2*h**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 5*f**2 - 4*f - 4. Suppose -3 = -4*m + 21. Let j = -27 - -29. Suppose -h = -j*h - m. What is x(h)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 5*v + 17, 7*b - 4*b - 1 = -v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 2\/3, 0.4, 3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 1 - 9. Let v(s) = -2*s**2 - 7*s + 5. Let i be v(h). What is the tens digit of i\/(-6) + 3485\/30 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*1\/2)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 19 = -5*y - 1, -2*x - 20 = 5*y. Which is the nearest to -2\/3? (a) 0.4 (b) -2\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*m - 20, m + 0 = 3*u - 10. Let q be (-3)\/u*(-24)\/36. Calculate the remainder when 21 is divided by ((1 - 1) + q)*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-24)\/a**(2\/27) assuming a is positive.\nAnswer: a**(-650\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15736 + -14372. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3 + 5 = 0. Let q(d) = d**3 + 6*d**2 + 2*d - 9. List the prime factors of q(f).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, g: 2, o: 1, c: 8}. What is prob of picking 1 o and 2 v?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-6))\/(1\/(-18)). Solve -4*x + a - 4 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202956, -202953, -202962, -202989, -203040, -203121, -203238?\nAnswer: -203397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24285198 and 2745.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 15*v + 0 - 3*v to the form r + y*v and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - j, 6*y - 3*y + 10 = -2*j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 751 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8719104, 8719074, 8719044, 8719014, 8718984, 8718954?\n\"Answer: -30*h + 8719134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**3\/3 + 17108*q**2\/3 + 240688*q = 0?\nAnswer: -42, 0, 8596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8*l**2. Let c(k) = -11*k - 8. Let t(p) = -7*p - 5. Let q be (-477)\/(-99) + 2\/11. Let v(u) = q*c(u) - 8*t(u). Calculate y(v(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 2*b**2 - b - 2. Let u be (-7 - 289)*(-2)\/4. Suppose -154*s = -u*s + 12. Give m(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-74)\/(-740)*(-1 - (-1)\/(-1)). Is 82 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 566 (base 7) to base 9\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1.6. Let c = -53 - -64. Put c, w, 4 in decreasing order.\nAnswer: c, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 - 113 = 6*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 406 - 300.5. Let w = s - 105. What is the nearest to 0.1 in w, 1, 5\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12180, -15809, -19438?\nAnswer: -23067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/(-3))\/((-2)\/42). Is 34 a factor of g\/8*10*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158368312 divided by 79184156.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 620 and 372.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 898817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.382 + -3.556. What is f rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16682890 to the power of 1\/2, to the nearest integer?\nAnswer: 4084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63324214*s**3 + 3*s**2 + 1900982*s?\nAnswer: -379945284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2458690144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3052 divided by 7\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -423*l + 954. What is d(6)?\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(130) - (sqrt(130) - -3*sqrt(130))))\/(sqrt(10) + sqrt(10) + -2*sqrt(160)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.32026 rounded to one decimal place?\nAnswer: 170.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 10396 (b) -1\/14 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1068)\/2848 - (-22723)\/8 and 852?\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 26 and -42746.\nAnswer: -42720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 t, and 1 e when three letters picked without replacement from {q: 1, u: 2, d: 3, e: 1, t: 5}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/8*(-1)\/7. Put h, -66.6, -1 in increasing order.\nAnswer: -66.6, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/(-120)*10*3\/(5\/(-5))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 182?\nAnswer: 18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6*(-18)\/4. Let p(t) = 4*t**2 + 4*t + 1. Let a(o) = 5*o**2 + 5*o + 2. What is g*a(u) + 4*p(u)?\nAnswer: u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2*3\/48)*96\/960.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = m - 9, 5*m = 267*o - 268*o + 29. Solve 3*g = 4*k - 7, 3*g - m = -3*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be ((0 + 3)*(-132)\/(-18))\/2. Let u(j) = 3*j**3 + 8*j**2 - 17*j - 15. Let x(a) = a**3 - a**2 - a - 1. Let f(p) = -u(p) + 4*x(p). Is f(t) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 - -67. Suppose a = 3*b + 10, o*a + b = 3*a - 6. Let j(n) = -n**2 - n + 1. Calculate j(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.25682 + 14359.7.\nAnswer: 14358.44318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23\/75 + 2\/75. Let o = 149 + -146. Which is the nearest to -1\/2? (a) 6 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1546 or 3\/74?\nAnswer: -1546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*n**4 + 5*n**2 + 317*n wrt n?\nAnswer: 312*n**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*b**2*p + 37*b**2 + b + 261*p - 266 with respect to p.\nAnswer: -14*b**2 + 261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j + 3. Let l(m) = 153*m + 25. What is -6*b(u) + l(u)?\nAnswer: 135*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -663 plus 57?\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4494 - -4458 - (-13 - -1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -h + 4*t, 21*t = 3*h + 17*t - 16. Solve -3*g + 3 = 2*w, 5*g = 4*g + h*w - 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 196343\/24 - 8179. What is the common denominator of 8\/27 and f?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.008 - 0.0951. What is t rounded to three decimal places?\nAnswer: -0.103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 7458234, 3 in decreasing order.\nAnswer: 7458234, 27, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 12*q - 32 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 79*g - 73*g - 103*g + (0 + 0 - 2)*(g - g + 2*g) + (-3*g + 0*g + g)*(6 - 1 - 2).\nAnswer: -107*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, k: 1, o: 4, f: 2, z: 1, w: 1}. Give prob of picking 2 h.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 68*q + 19. Determine t(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153 - 165 + 6*b + 304.\nAnswer: 6*b - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3486 divided by -1162.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1736325*g**2 - 1736314*g**2 - 426 - 57 as q*g + r*g**2 + k and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3115.\nAnswer: 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*u + 1010 + 1606, -2600 = -4*k - u. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**2 - 505*v - 422. Determine z(-100).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 28 + 32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15577609 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19\/11 - 103\/66. Find the common denominator of t and -91\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2325018 is divided by 2530?\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, d: 3}. Give prob of sequence dld.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457228?\nAnswer: 2, 151, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -k - 3*c - 8, 2 = k - 3*c. Is ((-152)\/k)\/(14\/35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.003 - 3.003. What is the second biggest value in 5, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 2*v - 7. Let x be o(4). Let w(g) = x + 2 - 4. Let h(u) = 2*u - 7. Determine h(s) - 6*w(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52101 and 119328657?\nAnswer: 357985971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3280 + 3288. Solve -u*b + 9*b = -3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5311046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326016?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 5*l - 3*l)*(-798*l + 274*l - 477*l - 205*l - 45*l) as r*l**2 + i*l + g and give r.\nAnswer: -3753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + t**2 - 2*t. Let f(v) = 1202*v**3 + 1094*v**2 - 60*v. Let m(u) = 2*f(u) - 60*z(u). Find the third derivative of m(g) wrt g.\nAnswer: 15144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 13*s**2 - 7*s + 9. Suppose -5*u - 3*c + 69 = 0, -5*u - 2*c = -42 - 29. Suppose 4*b + u = -37. List the prime factors of k(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/13 (b) -11\/5 (c) 2\/7 (d) 8 (e) 1 (f) -86 (g) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 - 2)*(136*z + 3*z + 101*z) + (4 - 5 + 0)*(2*z - z + 0*z) as w + m*z and give m.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*l - 9*l - l - 14*l**2 + (-6 - 3 + 4)*(l**2 + l**2 - 4*l**2) - 2*l**2 + 14*l - 14*l to w*l**2 + o + f*l and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1995738.455937 - 1077455.64389. Let w = k - -3073207.2. Let d = w - 13.1. Round d to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2. Let m(c) = 682387*c. What is m(w(k))?\nAnswer: -1364774*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 69 = -2*x, 3*c - 4*x + 51 = -36. Let m be c\/(-5) + -2 + 1. Solve 16 = 4*h + m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*l**2 - 85*l**2 - 2*l + 107*l**2 - 7*l to the form u + j*l**2 + g*l and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -141*o + 99. Let t(n) = -3*n - 2. Let y(i) = -2*m(i) - 2*t(i). What is the first derivative of y(p) wrt p?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.464284 decades in months?\nAnswer: 175.71408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3*m - m)*(-151 - 42 - 584 - 102).\nAnswer: -879*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.07 and -11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.03606*-4\nAnswer: 0.14424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.028.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*l + 4*z - 3*z, -5*z = 2*l + 5. Let n = 9 + l. Suppose 17 - 1 = n*y. Solve 0 = -y*m - 3 - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*f - 0*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 23*z**2 - 13*z - 92. Calculate d(24).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109341, 218677, 328007, 437331?\nAnswer: 546649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 4*z + 40. Suppose 0 = 5*f + q - 33, -3*q - 2*q = f - 21. Calculate the least common multiple of z and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*b**3*h + 2*b**3 + 331*b**2*h + b**2 - 203*b*h - 14234*b wrt b?\nAnswer: 438*b*h + 12*b + 662*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*((3 - 2 + 1)*(-20 + 14 + 60) - 1 - 1 + 0 + (-1 - 4 + 3)*(-3 - 2 + 6))*(-f - f**2 + f).\nAnswer: 208*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + 69 - (3 - 25).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-4) + (-2)\/(-4))*0. Suppose -x + 2 = a, -2*x - 3*x = -i + 116. Let o = i - 94. Solve -5*q = 3*f - o, -q + f = -0*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7827*b**3 - 17*b + 36. Let m be j(9). Round m to the nearest 100000.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q - 24 = 0. What is the remainder when (-3 - -2)\/(-6 + 1362\/228) is divided by 2 - (1 + q) - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5538 and 33?\nAnswer: 60918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*c + 322 = -78 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3940 - -4810. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.23 (b) -1.3 (c) -545\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34352\/(-600) + 58 + (-8)\/12?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12322320113 (base 4) in base 2?\nAnswer: 110111010111000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 a, and 1 v when three letters picked without replacement from {k: 1, j: 1, y: 1, v: 1, a: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 80059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 0.082\nAnswer: 0.00246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467*y + 459*y + 7330696 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {e: 1, o: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300 divided by 60.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 90270, 180034, 269798, 359562?\n\"Answer: 89764*i + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3118*j**2 + 14*j + 3117*j**2 + 59 - 13*j + 29 to w*j**2 + v*j + u and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 11*q + 28782 = 0. Suppose 2*g + q = 11*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2342 = -5*c, -5*i + 2*c - 414 = -12101. Calculate the smallest common multiple of 738 and i.\nAnswer: 14022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (440\/(-1540))\/((-5)\/21).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pptprezrettvtttrvvvr. Give prob of picking 1 r and 1 v.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 157897, 1\/8 in decreasing order.\nAnswer: 157897, 11, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62.8 - 0.8. Let q = 67.3 - l. Let o = q + -5. Sort 3\/4, o, 2\/15.\nAnswer: 2\/15, o, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, w: 5}. Give prob of sequence wwtt.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 970297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2202837 (base 11) to base 9\nAnswer: -7246111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 - 12*k**2 + 5*k - 3. What is the hundreds digit of u(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1379716 and 46137.\nAnswer: 28974036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 244 = -64. Calculate the common denominator of ((-3)\/(-20))\/((-24)\/(-176)) and (1*10)\/(y\/29).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = -2 + 2. Solve -26 = -p*d - 41 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -132*s**2. Let v(w) be the first derivative of 3*w**2\/2 + 34*w - 91. Let x(h) = h + 12. Let m(i) = 6*v(i) - 17*x(i). What is m(t(q))?\nAnswer: -132*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r + 8. Let y(x) = x - 12. Let a be y(16). Let q(b) = a + 53*b - 51*b + 0. Give 9*q(c) - 4*u(c).\nAnswer: -2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**6\/120 + w**5\/80 - w**4\/48 - w**3\/24 + 7*w + 6. Let u(b) be the first derivative of q(b). Let u(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)*-2)\/sqrt(2))\/(-2*sqrt(90)\/sqrt(9)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**5*g)*g\/g**(-4)*g**0\/g**6)\/((g**4*g)\/g**(3\/5))**(-24) assuming g is positive.\nAnswer: g**(498\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 751731, 1503464, 2255197?\nAnswer: 3006930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400290606.\nAnswer: 2, 3, 7412789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 10, l: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 2. Let z be b(2). Suppose 0 = 4*g - 6 - 6. Let i = -2 + g. Put i, 2, z in decreasing order.\nAnswer: 2, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/5, -14120584 in ascending order.\nAnswer: -14120584, 1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 7*a**2 + 8*a + 8. Is o(-8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -12. Find the third derivative of 15*c**2 - 4*c**2 - 3*c**g + 7*c**3 wrt c.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -482 (b) 3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*b - 18 = 277*b + 42 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 908 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 9 + (-44763)\/(-1388)*16\/6.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 120000, 120091, 120238, 120435, 120676?\n\"Answer: -f**3 + 34*f**2 - 4*f + 119971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*a + 9. Suppose a*c - 66 = -16. Let x(f) = f + 1. Let r be x(4). What is the highest common factor of c and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.04 (b) -1\/3 (c) -1713\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 20 - 3*p**2)*(-1 + 3 + 0)*(0 + 3 - 1)*(-4 + 2*p + 4) + 7*p**3 - 15*p**3 + 2*p**3.\nAnswer: -30*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 8288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57834 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -25*f - 6. Let z(j) = 32*j - 5 - 82*j + 30*j. Let l(h) = -3*s(h) + 4*z(h). Let y(b) = 0*b + b**2 + 0*b. Give y(l(k)).\nAnswer: 25*k**2 + 20*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6056873 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a second in microseconds?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1)*4\/(-8))\/(183\/732)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, l: 1, z: 3, t: 1, n: 1}. What is prob of sequence ne?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -995818?\nAnswer: 995813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*q**2 - 212*q**5 + 17*q**2 + 93*q**5 + 5*q**2 - 240*q**5 wrt q?\nAnswer: -21540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 4*o**2 + 1. Let m be f(4). Suppose -2*k = -15 - m. What is the remainder when k is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/105 + (-36)\/(-10)*7. What is the tens digit of (-810)\/(b\/(-5)) + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)\/o)**(-38)\/((o*o*o\/o**(-1))\/o)**(-50) assuming o is positive.\nAnswer: o**302","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 6*k + 10 = 0, -4 - 1 + 1 = 2*a + 3*k + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 14*f**2 + 1537*f - 654. Give h(-47).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 258*t + 2*t**2 + 262*t + 283*t - 800*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 540839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.11811 litres to millilitres.\nAnswer: 90118.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8.378102 millennia?\nAnswer: 8378.102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -276, -0.3, 4, 66.\nAnswer: -276, -0.3, 4, 21, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 10) in base 13?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z - 18 = 32*z - 3*a, a = -z + 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/1200 and 127\/1800.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 15*r - 18. Let s be o(-14). Put 3, -105, s, 5 in decreasing order.\nAnswer: 5, 3, s, -105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lsss when four letters picked without replacement from {p: 2, f: 1, l: 8, s: 4}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (4 + 1)) + -2 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/135 + 51\/405?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1113, 2164, 3217, 4272, 5329, 6388, 7449?\n\"Answer: v**2 + 1048*v + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -993, -3589, -7825, -13677, -21121, -30133?\n\"Answer: 4*p**3 - 844*p**2 - 92*p - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11290132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14964 divided by -7482\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/(-6)*24\/(-24).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1154730 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(27)\/(sqrt(54)\/sqrt(6) + sqrt(9) - sqrt(9)) - (sqrt(9)\/sqrt(3) + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(204))\/sqrt(12) + -3.\nAnswer: -2*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -203524.02 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 311 = t + 52*m, 17*m - 30 = 13*m + 9*m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -10*d. Let u(i) = -6*i + 7. Let n be u(-3). Suppose 9*v = -38 - n. What is the units digit of b(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1364)\/(-8) - -5)*2\/3 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**4 - 5*a**4 + 3*a**4 + (2*a**3 + 3*a - 3*a)*(-13*a + 30*a + 14*a) - 4*a**4 + 2*a**4 - a**4 - a**4 - a**4 + 4*a**4.\nAnswer: 63*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.391 * -3\nAnswer: -1.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5700719 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 5894184*q - 5894184*q.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4\/3 - 120741*b**3 + 3984695*b**2 - 131497597*b\/3 + 160720912 = 0. Calculate b.\nAnswer: -362256, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6098710, -6098708, -6098706, -6098704, -6098702, -6098700?\n\"Answer: 2*k - 6098712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 + 57 = 0. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1 + 15*q - 14*q - 1. Suppose 4*w = 5*w - 2. Let u(v) = 16*v**2 + 0*v**w + 83 - 83. What is z(u(s))?\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 2:55 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/6 and -71\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 10. Suppose -11 - 1 = 3*f. Let j be f - 33\/(-9) - (-2)\/(-3). Is y less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2\/9 - 35396*r - 1274192\/9.\nAnswer: -4*(r + 4)*(r + 79637)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6795 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + f + 6. Let x be n(-7). Suppose x = -0*j + 4*j. Let g(i) = i**2 + 2*i - 1. Let b be g(-3). Solve 4*l = b*w - j, 3*w + 0*w - 3 = l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**2 + i**3 - 10 + 17*i**4 + 8 + 4*i**2 - i to the form f*i**4 + c*i**3 + o*i**2 + z*i + x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.57 smaller than -24\/1135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 4003*d**6\/6 + 1760*d**2 - 1422. What is the second derivative of p(g) wrt g?\nAnswer: 80060*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10287 and -0.1.\nAnswer: 1028.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.057 (b) -0.061 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67768 = -5*d + 2*h, -9*h - 54212 = -4*d - 8*h. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -875, -862, -837, -800, -751, -690, -617?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00653837364 to four dps.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 522887, 1045925, 1568953, 2091965, 2614955, 3137917?\n\"Answer: -x**3 + x**2 + 523042*x - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14664 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.2 + 1.2. Let q = 313\/940 + 63\/940. Which is the biggest value? (a) 12 (b) 0.2 (c) n (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1156455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.67 - -0.33. What is the nearest to k in 0.5, 0.1, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 - 4*n - 1. Let m(y) = -3*y**2 - y. Calculate -2*m(f) + p(f).\nAnswer: 10*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 3*o**2 + 5*o + 6. Let s be h(-4). Suppose 98 = 4*m + 5*g, 5*m + 2*g - 70 = s*m. Let t = m - 15. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 15. Suppose -4*t = -f + 3100, -4*t + 0*f - v*f = 3100. Let k = -540 - t. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25.05 - 29.05. Let s be 4\/(-2)*(2 - 1). Let v = s - 3. What is the third biggest value in d, 3\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*a**2 - 24*a**2 - 7*a**2 + 13*a**2 + 8 wrt a.\nAnswer: -66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 9) to base 8.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-21 + 18 - -43)) + 18?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4538444 millimeters in centimeters?\nAnswer: 0.04538444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2299682 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 5*n**4\/12 + n**2 - 835*n. Let v(h) = -3*h**2 + 2*h**2 - 5*h**2 - 3. Let m = 2 - -1. What is m*u(f) + 2*v(f)?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1*sqrt(1331)*3 - sqrt(1331))*-5 + 1)*-3.\nAnswer: -660*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -4\/5 (b) 46 (c) 2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32632041 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 17763*f. Let q(b) = b + 36. What is z(q(v))?\nAnswer: 17763*v + 639468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/5*z + 3\/5 + 1\/5*z**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 10:12 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.9 + 10. Sort l, 1, -0.2.\nAnswer: -0.2, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1310*o - 3788 = -45441 - 4197 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -100\/3. Let j(q) = q - 8. Let t(p) = -2*p - 6. Let g be t(-6). Let b be j(g). What is the nearest to s in -1, b, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, v: 1, s: 3}. Give prob of sequence svx.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l + 52 = -22*l. Factor -112*y**3 + y**4 + l*y**4 + 117*y**3.\nAnswer: 5*y**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 62649*n + 1002390. What is p(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 2*s - 2. Let n be c(1). Let o(r) = 4*r + 10. Let b(a) = 1. Determine n*o(d) + 10*b(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 260 = 18*k - 22*k, 3*b - 179 = 5*k. What is the highest common divisor of 3444 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = i + 33 + 17, 0 = y + 3*i. Let r be ((-5)\/y - 2)\/((-2)\/(-6)). Calculate the common denominator of (-438)\/(-504) + 2\/r and 49\/11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-444*2)\/(-2) + (-24)\/(-8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 7\/6*r**3 + 0 - 1\/12*r**4 + 4*r + 5\/2*r**2. What is u(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 13933 (b) -2\/3 (c) -2\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/13, 31, -7\/9.\nAnswer: -4, -7\/9, -1\/13, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.711073?\nAnswer: 0.2133219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*(sqrt(171) + (sqrt(171) - (sqrt(171) + sqrt(171)*-2))))\/((sqrt(9)*3 + sqrt(9))*-2).\nAnswer: -3*sqrt(19)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -250*w**3 + 2*w**2 - 2. What are the prime factors of r(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q = 0. Suppose -3*o - b + 4 = q, 5*o + 2 = -2*b + 7. Let h(j) = -j + 7. Let d be h(o). Solve d*t + 0 - 8 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3, -25*m + 11*m = -13*m + 2*w + 4 + 11 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.1805 - -7.7925. What is y rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1508 divided by -4\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4 + 6. Suppose u = -2*r + 3*r. Let o(f) = 1 + r*f + 3*f - f. Calculate o(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -16 + (8 - (5 + 9) - -6) + -46\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26.11 + 26. Suppose r + 1 = -4*q + 8, q + 14 = 5*r. Let x be (4\/3 - 1) + (0 - q). What is the third biggest value in x, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/12 + (-8)\/3. Let m = y - -2. Solve m = -2*v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1247100.\nAnswer: 2, 3, 5, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12158\/195 - -312\/5. Let x = 7348.2 + -7348. What is the third biggest value in -1, x, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2633229159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvkkvvvvkvvvvvv. What is prob of picking 1 k and 1 v?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 10*s + 21. Let m be r(-6). Let n be 1 + 1 - (3 + m + -10). Calculate the greatest common divisor of n and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -26, -190, -340, -470, -574, -646, -680?\n\"Answer: i**3 + i**2 - 174*i + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 + -10790520698.\nAnswer: -10790520698.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*b - 105 + 105 + (-2 + 3 + 1)*(b + 2*b - 4*b) - b - 2*b + 4*b + (-3 + 0 + 4)*(b + 1 - 1) + 5*b - 2*b - 6*b + 1.\nAnswer: 11*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**4 - 6*k**2 + 7*k - 3. Suppose 6*v = 3*v + 3, 4*v - 7 = -3*y. Let l(c) = c - 1. Let t(n) = y*h(n) - 3*l(n). Factor t(m).\nAnswer: 2*m*(m - 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-27) - 60\/81. Let p = 8 - 7.94. Which is the second smallest value? (a) p (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 + -131.14. Let c = -9 - k. Round c to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3302 + 454*h**3 - 453*h**3 + 3302.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**2. Let j(o) = 38*o + 25*o + 263*o + 158*o - 72*o. Calculate j(y(k)).\nAnswer: -1236*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 837 divided by -27.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -168386 - -348123. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v + 18497. Let n(o) = -2*o - 6127. What is -4*h(a) - 11*n(a)?\nAnswer: 2*a - 6591","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1104 and 1426.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 11, 17?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 19523217?\nAnswer: -9761608.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by 81188\nAnswer: 33\/40594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1822 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.07*-0.5.\nAnswer: 2.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s + 1. Let d be x(2). Suppose -3*c + 39 = 12. Let j = c - d. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (-36 + (42 - 10) - 145).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 31*y = 34*y + 17, 7*p - y + 1 = 0. Let c(a) = -a**3 + a**2. Let f(z) = -3*z**3 - 6*z**2 + z. Determine p*f(t) - 5*c(t).\nAnswer: 8*t**3 + t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556190842 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 7*q**2 + 5*q - 6. Suppose 5*u + 13 + 17 = 0. Let j be b(u). Solve j = -t - t + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -4480, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbbbovobvbboo. What is prob of picking 4 b?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -281 + 332. Let o = 47 + y. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - v + 4 = -4*v, 0 = 5*y + 4*v - 20. Let c be (2 + -1 - 3)*-1. What is the second derivative of r**4 + c*r + 0*r + 0*r + 2*r**y wrt r?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 8, 7670 in ascending order.\nAnswer: -4, 1, 8, 7670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -36*h**3 + h**2 - 5*h + 11. Suppose -2*i + 5*w = 5, 5*i - 15*w + 17*w = -27. Is r(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 196068528?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 3) + 0 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11242413 (base 5) in base 11?\nAnswer: -70308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (61*(-3)\/15 + 24 + -13)*145\/(-3)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - w + (-1 + 3 - 1)*(-4*w + 3*w + 3*w))*(-2734*w**2 + 5883*w**2 - 2875*w**2).\nAnswer: 1096*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 43 - 33. Suppose 2\/5*j**3 + 2\/5*j**l - 6\/5*j**4 + 0 - 4\/5*j + 6\/5*j**2 = 0. What is j?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9143, 8966, 8789, 8612, 8435, 8258?\n\"Answer: -177*r + 9320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 13) to base 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h - 2*q = 29*h, 2*h = 3*q. Let a(b) = -b - 11. What is a(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26724379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.46113 rounded to two dps?\nAnswer: -3.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-9) + -4)*-9 + (-3)\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7) - (19\/(-7) + -4). Suppose -c + 0 = -u + 7, 0 = -c - 3. Solve -9 = u*f + n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52056849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 5*l**2 + l - 2. What is u(6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, 22\/15, 6, 4, -23 in descending order.\nAnswer: 6, 4, 22\/15, -0.3, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6\/36*-4*(-12)\/(-20)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a - 5207 + 10844 - 5637 - 4*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*p = 5, -2*f = f - 4*p - 2. Let m(s) = -3*s**2 + 101*s - 64. Let r be m(33). Solve -f*b - r - 8 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*5281469\nAnswer: 36970283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*k + 768, 0 = 3*s + 4*k - 501 + 43. Let l = s - -68. What are the prime factors of l?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-35))\/((170\/119)\/(-5))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2278\/3, -12, -278.\nAnswer: -278, -12, 2278\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(300)\/sqrt(10))\/(sqrt(1000) + (sqrt(1000) + sqrt(1000)*2 + sqrt(1000) - sqrt(1000)) + sqrt(1000) - sqrt(1000)).\nAnswer: -3*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -6264*s + 6269*s - 3*q, 49*q + 33 = -2*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 16 = q. Let 27*s - 3 - 106*s**2 + 136*s**q + 9 = 0. What is s?\nAnswer: -1\/2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78329473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 286705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**6\/120 + y**5\/20 - y**4\/12 + y**3\/3 - y**2. Let i be o(-3). Suppose -3*k = 4*r - 8, r + 3*r = -5*k + i. Does 1\/4 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6676 divided by -2.\nAnswer: 3338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 551 and 348?\nAnswer: 6612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1281 + -477. Does 17 divide w\/15 - (-6)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533*p - 421*p - 512*p + 9 + 2000*p - 538*p.\nAnswer: -4*p + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -1 + 1 + 180 + 0\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 11174385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 7 (c) -0.041 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -391, -1528, -3403, -6016, -9367, -13456?\nAnswer: -18283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z = 4*z - 288. What is the remainder when 218 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 4*q - 37. Find the common denominator of q and 15\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a = -8*a - 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/5 + 9\/(-15) - (18 + 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 29. What is the greatest common factor of o and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*-6*28\/2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -45, 47, 0.2, 4, 2\/75 in descending order.\nAnswer: 47, 4, 0.2, 2\/75, -0.4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -14, -21, -24?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 34992 = -3*w. Let d = -139899\/16 - w. Find the common denominator of d and (6\/32*2)\/((-69)\/276).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 5*w + 9. Let p(c) = c**2 + c - 1. Let j(o) = n(o) + 5*p(o). Factor j(m).\nAnswer: 2*(m + 2)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6220*i**2 - 12258*i**2 + 6353*i**2. Let u(j) = -j. Give u(c(r)).\nAnswer: -315*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tffutuftutwwfefumffw. What is prob of picking 1 m, 1 e, 1 f, and 1 w?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -29*q**3 - 8*q**2 + 17*q + 6. Let g(u) = -u**3 - 3*u**2 + 3*u + 1. What is -4*g(p) + z(p)?\nAnswer: -25*p**3 + 4*p**2 + 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -160026169 plus -0.5?\nAnswer: -160026169.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 13.7, -3\/5?\nAnswer: 13.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 16 = -4*g. Suppose 0*d + 5*d - 5*s = 0, -4*d - s + 5 = 0. Suppose 5*z + 31 = -2*y, 3*y + 4*z + 11 = -18. Put d, g, y in decreasing order.\nAnswer: g, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3065 + 22*j + 3065.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2 - 1002*c - 492. Calculate n(251).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -11 + 3 + 8 - z. Let o(v) = 46*v. Determine w(o(t)).\nAnswer: -46*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1783.5 + -1783. What is the second biggest value in -3\/2, -1\/3, 3\/4, 291, h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 0.6 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {o: 2, w: 1, l: 2, x: 1, d: 1, a: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1287470 (base 11) in base 5?\nAnswer: -1032030134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 5*j**8\/336 - j**7\/70 - j**6\/24 + j**5\/20 - 35*j**2\/2 - 19*j - 1. Let f(s) be the first derivative of w(s). Factor f(x).\nAnswer: x**2*(x - 1)*(x + 1)*(5*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*m - 36 + 12, -2*y = -4. Let k(q) = q**2 + 2. Calculate the least common multiple of m and k(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwj when three letters picked without replacement from {w: 3, j: 5, p: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (80\/(-30))\/(1\/(-3)). Suppose 2*c = -0*c + 4*z - u, 4*c = -z + 2. Suppose -3*j - w + 74 = c, -4*j + 4*w = 5*w - 99. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1876 = 4*n + 4*q, -3*n + 898 = -4*q - 544. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**4\/2 + 4*c**3\/3 + 9*c**2\/2 - 2*c + 467. Determine w(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -523 - -460?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/1053)\/((-5)\/45).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 - -169. Let k = g + -42. What is the greatest common divisor of 140 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 57*f**2 - 4*f + 4. Let z be p(2). Let g(u) = u**3 + 29 + z*u - 2 - 225*u. What is g(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen eighths of a micrometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from {p: 1, q: 2, h: 2, z: 2, t: 3, x: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1946 (b) -1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5)\/r*r**4)\/(r*r**5*r*r\/(r*r**(5\/3))) assuming r is positive.\nAnswer: r**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 28 = -6*x. Calculate the least common multiple of 2 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3562410101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccucccuuccucucc. Give prob of picking 1 u and 2 c.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*h + 162*h + 232*h + 71*h.\nAnswer: 420*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u. Let w(l) = -6*l. Let a(p) = -13*p - 5. Let r(n) = 6*n + 2. Let x(j) = -2*a(j) - 5*r(j). Let s(g) = 5*w(g) - 8*x(g). Determine s(v(y)).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1946527734034 + 10*a**3 - 1946527734034.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, 1, -5 in increasing order.\nAnswer: -15, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2.4. Let z(b) = b**2 - 2*b. Let l be z(5). Suppose -14*n + l*n = 0. What is the third smallest value in n, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 14, n: 5}. Give prob of picking 3 j and 1 n.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4381627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*f - 41, 3*v + 31 = -2514*f + 2516*f. Suppose 19 - 3 = 4*d. Let k be d - (-1 + v) - 5. What is the greatest common factor of k and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 659869?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 428085 and 3537.\nAnswer: 56079135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5052, 28, -4, -3, -0.1, 2\/3.\nAnswer: -4, -3, -0.1, 2\/3, 28, 5052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (657\/73)\/(((-18)\/(-4))\/(-3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-12))\/(1\/3). Let d be (-21 - -24) + (-2 - 0\/2). Which is the smallest value? (a) j (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 435055834871?\nAnswer: -435055834875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 6 - 4 + (-9 + 3 - 1)*(1 + 0 - 3))*(0 + 0 - x)*(-32 + 27 - 42) in the form s + p*x and give p.\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 25 = -3*z + 274, -3*i - 5*z + 450 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335*a + 338*a + 746 = 2*w, w - 374 = 2*a. Calculate the least common multiple of w and 962.\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/249 and -2\/747.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 5, 10027, 21.\nAnswer: -5, 5, 9, 21, 10027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-2 - 1) - (8 - (-14 + 8))) + -6\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45349 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 11*n**2 - n - 2. Let r be q(-11). Suppose 3 = -r*v + 12. Let i = v - -122. What are the prime factors of i?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 36*z + 2. Let d(w) = 4*w**2. Calculate r(d(f)).\nAnswer: 144*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3706689 (base 10) in base 15?\nAnswer: 4d3429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10005499151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, m: 9, l: 7}. Give prob of sequence lii.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.81 - -0.7. Let w = b + -0.04. Let n = 0.05 - w. What is the closest to -1 in -0.1, n, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-901987455)\/(-21) + 6 + (-8)\/14. Let i = n - 30551789. What is i rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1253626*q**3 - 2*q**2 - 3886687*q + 1?\nAnswer: -7521756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7060 - -11?\nAnswer: 7071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -753536?\nAnswer: -1\/94192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -1) + (-72)\/30. Let y = 0.6 + -3.6. Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 53*f**2 - f. Let p be i(1). Let g = -135 + 335. Let s be g\/p - (-4)\/26. Put s, 3, 0, -3 in increasing order.\nAnswer: -3, 0, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18829634 is divided by 2689947.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*m + 5, -2 + 5 = 3*k - m. Let c be (1\/(-1))\/(0 + -2 + k). Let s = 61 + -57. What is the nearest to c in -0.3, s, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, m: 7}. What is prob of picking 3 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9748, 23164, 45532, 76858, 117148?\n\"Answer: n**3 + 4470*n**2 - n + 5278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 24. Let o = 11 + -16. Let v = o + 8. Sort v, -1, l in increasing order.\nAnswer: l, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.61 + -19.39. Which is bigger: b or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/528 and 119\/396.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (4 - (10 + -16)) + 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811976847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 407, 288, 165, 38, -93, -228?\n\"Answer: -2*k**2 - 113*k + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 - 39892*i\/3 - 21789350\/3.\nAnswer: -(i + 550)*(i + 79234)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j = 249 - 354 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 177 and 13511.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2 + 1362*u + 2728 = 0. What is u?\nAnswer: -2, 1364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12064\/7 > 1724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2940.748 weeks?\nAnswer: 20585.236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 31 = -5*a - 73 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-55))\/((-1)\/5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 20 + 28 - 2*w - 81 + 34. Let u = -207 - -212. Give y(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11401 (base 7) to base 9.\nAnswer: -4027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -775 * 0.06.\nAnswer: -46.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h. Let n(o) = -18321631*o. Calculate n(t(w)).\nAnswer: 54964893*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = 4*v - 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c**5\/3 - 173*c**4 + 3056*c**3 - 61598*c**2\/3 + 37186*c + 3927 = 0. What is c?\nAnswer: -1\/10, 3, 11, 17, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8*z + 8 = -2*t, -4*z - 8 = -4*t. Does 2 divide (-3)\/z - (-9)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyzyyyzzyzyzy. What is prob of picking 3 z?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 - 22*x - 56. Let v be i(-7). Suppose 4*o - o - 15 = v. Solve -3*b + 4 = -2*h, -h + 12 = -3*h + o*b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 204*q**3 + 10379*q - 10380*q - 2 - 1072*q**3 to the form a*q**3 + d*q + u + z*q**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -2\/9, -0.1, 7\/2, -158.1?\nAnswer: -158.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 3126737.\nAnswer: -15633685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 13*b**2 + 8*b - 24. Let m be p(-12). Calculate the greatest common factor of m and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5712 + -5686. What is the highest common factor of 975 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-210)\/(-45))*(-2)\/(-6).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203204631?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-150))\/((-464)\/1160).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 0*n + n + (-4*n + n + n)*(1 - 3 + 0) + 0*n + 6*n - 4*n + (4 + 0 - 5)*(n + 2 - 2).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 12 = 6*o. Suppose -o*y + 16 - 31 = 0. What is the smallest value in y, 0.11, 1\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 5*r**2 - 73*r**3 + 2 + r + 72*r**3. What is z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -476*h + 19580. What is the tens digit of n(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21232211 - -2331?\nAnswer: -21224330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -374*u - 11. Let i be p(-19). Let x = 8651993\/600 + -549286\/75. Let q = x - i. Find the common denominator of -23\/18 and q.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 259. Let b(h) = 7*h. Determine b(a(w)).\nAnswer: -7*w - 1813","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -8. Let y be (-151)\/(-3) + (-4)\/b. Suppose -y - 28 = -3*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1333130100 (base 4) to base 3\nAnswer: -222112001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 55, 128, 215, 292, 335, 320, 223?\n\"Answer: -4*p**3 + 31*p**2 + 8*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u**3 - 61*u**3 + 0*u**2 + 223*u**3 + 2*u**2 - 46*u**3.\nAnswer: 89*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2146472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1404 = -p + 2*f, -12*p = -7*p - 9*f - 7022. What is p rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 488 and 20278?\nAnswer: 4947832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*29\/8874*-85.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12888517 to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (-113000)\/(-7) - 114\/(-798)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 6316?\nAnswer: -6314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/49 (b) 62 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -11*n + 116*n - 2624 + 352 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 9. Let f = b - -8.9. Let m = -3.1 - f. Sort 2, m, 3\/2.\nAnswer: m, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 173 - -120. Calculate the remainder when q is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 172900 and 30875?\nAnswer: 864500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = -5*i - 141 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 57*p**2 - p. Let t be o(-2). Let q = t + -226. Solve -5*k = -2*i - 9, -4*k = -3*i + q*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/3)*k)**(-36))**2 assuming k is positive.\nAnswer: k**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/5 + 636*r**3\/5 + 50562*r**2\/5.\nAnswer: 2*r**2*(r + 159)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccctccccuc. Give prob of sequence ccuc.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-2244)\/(-28))\/(-3) + (-16728)\/(-697)\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(72)\/sqrt(6)) + (sqrt(18)\/(sqrt(6) - 3*sqrt(6)))**2.\nAnswer: 3\/4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46055929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r. Let z be (4 + 8\/(-2))\/(0\/1 + 4). Let j(g) be the third derivative of z*g**4 + 0*g**3 + 0*g - 6*g**2 - 1\/60*g**5 + 0. Calculate y(j(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.058 - -30.058. Let j = 65 - c. Let b = 35.0001 - j. What is b rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28273 and 20041.\nAnswer: 11563657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -3*t - 6, 4*m = 2*t + 13 - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 25*j**2 + 89*j + 40. Let u(o) = 19*o**2 + 63*o + 30. Let w(c) = -8*a(c) + 11*u(c). Factor w(t).\nAnswer: (t - 1)*(9*t - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/2)*(z*z*z\/(z\/z**(-5)))\/z*(z**(-1)*z)**(-32) assuming z is positive.\nAnswer: z**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002739402951 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1984 divided by 4\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1621417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebbee. Give prob of picking 1 b and 1 e.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010774000 rounded to the nearest one million?\nAnswer: 2011000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -1. Suppose 78 = 3*l - 0*l. Is l*y*(-3)\/6 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 364579.7g?\nAnswer: 0.3645797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 1028020882.\nAnswer: 1028020881.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 17*s**2 + 0 + 6*s**3 + 6*s + 0 - 2*s**2 = 0.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51, -145, -309, -549, -871, -1281, -1785?\n\"Answer: -h**3 - 29*h**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(sqrt(96)\/sqrt(128))\/(sqrt(48)\/sqrt(3)).\nAnswer: sqrt(3)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + c + 3*c)*(-c - 6 + 6) + (c**2 - 3 + 3)*(0 - 1 + 0 - 1 + 0 - 1 + (6 - 4 - 3)*(4 - 2 - 3)) as r*c + b + s*c**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 9 = -5*t, 3*r - 4*t - 46 = 6*r. Let z = 14 + r. Suppose 3 = -5*p - z*o + 4*o, 4*o = -2*p - 18. Sort 5, p, 3 in increasing order.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31680 = -72*v + 62*v. What is the lowest common multiple of 2376 and v?\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -18*q - 83. What is the tens digit of r(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 97. Let a(g) = -g**2 + 13*g - 24. Let u be a(10). Suppose 0 = u*j - 154 + 4. Calculate the remainder when m(27) is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 67*n**2 - 65*n**2 + n - n. Let m(q) = -18*q**2. Let i(s) = -11*s**2 + 3*s**2 - 9*s**2. Let t(k) = -6*i(k) + 5*m(k). Determine j(t(g)).\nAnswer: 288*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -443240 by 88648.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2 - 305*d - 3516 = 0 for d.\nAnswer: -293, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-9 + -5 + 31)) + 2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0*i**4 + 0 - 1\/120*i**6 + 1\/60*i**5 - 13*i**2 + 0*i + 11\/6*i**3. Give n(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2479407 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1490.\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 6:39 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -144115451 >= -144115452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -11*q**7\/210 - q**5\/30 - 83*q**4\/24 - 15*q**2. Find the second derivative of l(c) wrt c.\nAnswer: -132*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 63*p**3 - p**2 + 47*p - 187. Does 83 divide a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 104. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*h + 32. Let u(a) = 14*a - 3. Let b be u(2). Suppose 26 = 3*n - b. Calculate the remainder when h is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 w, and 1 x when three letters picked without replacement from xwprq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7099.026 + 7112. Let f = -13 + x. Let o = 0.01 + f. Round o to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 633*r**2 + 0*r + 0*r - 1105*r**2 + 0*r in the form a + n*r**2 + k*r and give n.\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 4. Let y be (-9)\/(-2) - 3\/v. Factor 4 - y + 2*i**2 + i**3 + i.\nAnswer: i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*i + 40 = 0, -7*b - 4*i = -4*b - 30. What is the least common multiple of b and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -115, -126, -139, -154, -171?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1671224*j + 0 - 2 + 1675761*j to m*j + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -8) + -67 + 112.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242079 times -4?\nAnswer: -4968316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = c + 1, 13*c + 1 = 14*c + d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2 + (-145)\/58 - 22\/(-12). What is the third smallest value in -5\/3, -0.2, 2, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 90209.85 centuries?\nAnswer: 9020985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 8 = 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.8 + 47.2. Let i = z - 66. Which is the closest to -1\/4? (a) i (b) 2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10451137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*x**2 - 2 + 4 - 18*x**2 - 1 to the form t*x**2 + h*x + k and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -10 (b) 0.4 (c) -1.88 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 3711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 61*u**2 - 8*u - 18. Let d be s(-2). Solve 0 = -8*o - 298 + d for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(32\/(-3))*20\/(-6). Which is the second biggest value? (a) q (b) -1\/7 (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29053 divided by 35967.\nAnswer: -29053\/35967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5816 - 5753 = 9*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 + 6*v - 4. Let q(p) = 2*p**3 - 5*p + 3. Calculate 4*b(z) + 5*q(z).\nAnswer: 2*z**3 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 583 = -29*p. Solve -p = a - 16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(-b + 2*b + 2 - 2*b)*(0*b**3 - b**3 + 3*b**3).\nAnswer: -4*b**4 + 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 8*m**2 + 2\/3*m**4 - 1\/60*m**5 - 2\/3*m**3 + 0 + 0*m. Let l be j(14). Calculate the highest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6844844, 6844845, 6844846, 6844847, 6844848, 6844849?\nAnswer: 6844850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 61, 148, 321, 610, 1045, 1656?\nAnswer: 2473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -8\/7, 0.08 in increasing order.\nAnswer: -8\/7, 0.08, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + -1 + (2*-1*sqrt(275) + sqrt(275) - sqrt(275)) + 1*sqrt(275) + 0)**2.\nAnswer: -200*sqrt(11) + 1455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 119595637*g**2. Let q(b) = 4*b. Give v(q(a)).\nAnswer: 1913530192*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7032 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i - i - 2*i - 6*i + 20*i + 8 to v + m*i and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {r: 2, f: 2, z: 1, e: 1, s: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4619030 and 6?\nAnswer: 13857090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 0, 2*k + 2 = -m - 1. Is ((-29)\/k)\/(1\/2) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k*(k**(2\/9)*k)\/k*k)\/(k\/(k*k**0))**(-23) assuming k is positive.\nAnswer: k**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -817*m**3 + 81*m**2\/2 - 11*m + 3326. What is the second derivative of p(k) wrt k?\nAnswer: -4902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 10259716.\nAnswer: -4103886.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 14 = 4*a. Let o(n) = 6*n**3 + n**2 - n. Give o(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 1517 - 1529. Let j(r) be the second derivative of -r**4\/12 - r**3\/2 - r**2\/2 - r. Let l(s) be the first derivative of j(s). Determine l(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - -51*30\/144*2\/5. Let s = 1.3 + -0.3. Which is the smallest value? (a) s (b) j (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6582 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28124284 is divided by 5812?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 9*r. Let d(q) = 5*q - 3*q + 3*q - 3*q. Calculate k(d(j)).\nAnswer: 4*j**2 - 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -176*s**2*t**2 - 1187*s**2*t + 2*s*t**2 + 53*s - 3425*t**2 wrt s.\nAnswer: -352*t**2 - 2374*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 32*a - 3*a - 294 = 760 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 570836 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j**0)\/j)\/j*j*(j\/(j\/j**(3\/2)))\/j*(j**(1\/3)\/j*j)**(-1))**(-3\/10) assuming j is positive.\nAnswer: j**(-7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-3))**(-9))**(-31))**3 assuming u is positive.\nAnswer: u**3348","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5.8 times -688\nAnswer: -3990.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -351 + 346.8. Let h = 1.2 + z. Let k = -1 - 1. What is the fourth biggest value in 1, h, k, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 1 - (7 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2123092 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 9 = 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2408 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/32)\/(4*2\/144).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**3 + 12*j**2 + 6*j + 232. Let k be p(12). Calculate the highest common divisor of 129 and k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oojjjjjyjkjyojoj. What is prob of picking 2 o?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -36, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8749060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 47\/2. Determine p so that 1\/2*p + d - 1\/2*p**3 - 1\/2*p**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (3 - (1 - -2)). Let b = 18.36 - 18. Let n = b - -3.64. What is the biggest value in n, -1\/2, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -39. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2244*k - 2281*k + 370 = 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52346*p**2 + 52261*p**2 - 104605*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 245863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146 + 145 = -5*u - 2*a, -47 = -7*u + a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*v)*(-3187*v**2 + 6325*v**2 - 3202*v**2).\nAnswer: -128*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8404.773mg?\nAnswer: 0.000008404773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 53*w + 2078. What is k(80)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 28 = -2*s, -l + 0*l + 8 = -3*s. Suppose 0 = 2*u - 0*u - 4. Let h(o) = -4*o**u - 5 - 4*o**3 + 3*o**3 + o**2 + 10. Calculate h(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = 43 - 219. Let k(b) = -59*b**2 + 34*b - 40. Let i be k(u). Round i to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-56))\/((-4)\/(-7)). Suppose 0 = -5*o + r + 15 + 35, -10 = -o - 4*r. Let d = o - 6. What is the biggest value in c, d, 1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 8 + 7 + 3*p**3 + 5 - 9*p.\nAnswer: 3*(p - 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 57*114\/126 - 7. Let p = s - 261\/7. Calculate the common denominator of 44 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 10 - (-14 + 23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5454.268 - 5447. Round t to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(-234*u**2 + 301*u**2 + 6*u**4 - 7*u**4) - 9*u**3 + 2*u**3 + 27*u**2 + 2*u**4 + 5*u**3 to v + d*u**4 + r*u**3 + k*u**2 + s*u and give k.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -568 - -568. Solve b*l + 2*l = 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 2. Give b(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21891 is divided by 359.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 - 27 = -5*j. Let t = 2 - 18. Let q = -4 - t. Calculate the remainder when j is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 - 4*p - 12 - 4*p**4 + 4*p**3 - 3*p**2 + 0*p + 15*p**2.\nAnswer: -4*(p - 2)*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110100011000000 - 11001011?\nAnswer: 1110011111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14392 divided by -3598?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34090248?\nAnswer: 2, 3, 839, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - ((-13 - -3) + 18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 22, -0.78, -45, -1\/9, -2\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 3*q + q - 134680 - 5*q + 134674. Let c(a) = -11*a**2 - 6*a. Determine t(c(j)).\nAnswer: -11*j**2 - 6*j - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -113*w + 1226. Give k(12).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4808767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0677622 - -0.2?\nAnswer: 0.1322378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 11:13 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzzzzzzxzxxjvzz. What is prob of picking 2 z?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/((-3)\/(-20)). Suppose -4*p - 5 - 8 = -3*w, 4*p - 2 = -2*w. What is the first derivative of -7*f**3 - 11 - o*f**3 + w wrt f?\nAnswer: -51*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + 4 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8180 and 41040.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*v - 66*v - 2 - 8*v**5)*(0 + 3 - 5) + (3*v**5 - 2*v**5 + 0*v**5)*(-3 + 10 - 2).\nAnswer: 21*v**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 4. Let r be z(-5). Suppose -2*l + r = 46. Let p = 31 + l. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397809 is divided by 99451.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6129 or 1366771\/223?\nAnswer: 1366771\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 30, -2*d - 232 + 220 = -q. Factor q*y + 3\/2*y**2 + 0 + 15*y**4 - 39\/4*y**3.\nAnswer: 3*y**2*(4*y - 1)*(5*y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 16 = -4*i + 1790*u - 1794*u, 5*u - 281 = 128*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14850 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/9, 0.3, 30, -0.1 in decreasing order.\nAnswer: 30, 5, 0.3, 2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmj when three letters picked without replacement from {m: 16, s: 1, j: 1}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4*a + 20, 0*a + 10 = 4*q + a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**4 + 2*x**2 + 4*x. Let g(d) = -d**4 + d**2 + d. Let b be (1\/(-2))\/(2\/8). Let t(m) = b*g(m) + o(m). What is the second derivative of t(f) wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {m: 5, l: 1, w: 5}.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -199, -393, -597, -817, -1059, -1329?\n\"Answer: -w**3 + w**2 - 190*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27170 and 101387?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 32*z + 308*z.\nAnswer: 340*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, x: 7, t: 1}. What is prob of picking 4 x?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 875100 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43010523*m**3*n**4 + 2*m**3*n + 10*m**3 - 32*m**2 + 3*m*n**2 + 1002*m*n - n**5 + 2*n wrt n?\nAnswer: -1032252552*m**3*n - 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -12 - 8, 0 = -2*x + 2*a + 442. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 22, 6, -3 in descending order.\nAnswer: 22, 6, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 0 - 40*x**2 - 11\/600*x**6 - 1\/30*x**5 + 1\/105*x**7 + 1\/15*x**4 + 2*x + 1\/560*x**8 + 0*x**3. Let q(n) = 0. What is n?\nAnswer: -4, -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100010 + 101?\nAnswer: -100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*h = 0. Let m be 0 + (0 - h) - -2. Suppose -m*r - q = -2, -2*q = r + 1 - 5. What is r rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 59*m**2 - 21*m - 4. What is the units digit of l(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - ((8 - 9) + 6)) + -8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2360 by 236.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 822*c = 838*c - 32. Solve o - 6*p + c*p - 13 = 0, -5*p = -5*o + 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6)\/r**(2\/3))\/((r**1\/r)\/r*r)**(-28))\/(((r**(-2\/13)\/r)\/r*r**(5\/2))\/(r**(-4\/3)\/((r\/r**(-1))\/r))) assuming r is positive.\nAnswer: r**(-243\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13872240*i**3 - 2600374*i**2 - 2?\nAnswer: -83233440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, r: 2}. What is prob of picking 1 r and 1 f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o\/((o*o**(-1)*o)\/o)*o*o))**(-1\/6)*(o**1)**(-9) assuming o is positive.\nAnswer: o**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 7*p**2 - 9*p + 9. Let r be f(8). Let i = -1 + r. Let o = 0.2 - 0.1. What is the closest to i in -0.3, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1310420 (base 5) to base 6\nAnswer: 315051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from {z: 1, p: 2, y: 1, l: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 9*o - 4. Let i be l(-8). Solve -i = 3*c + 2*s - 3, -5*s = -20 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68.98 - 74.5. Round m to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 + -5 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x. Let q(r) = 13*r - 9. Let g(h) = 3*h - 2. Let o(v) = -9*g(v) + 2*q(v). Give o(t(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 1\/4*f**3 - 1\/16*f**4 - 1\/24*f**6 - 18 + 1\/4*f**2 + 0*f - 3\/20*f**5. Find p such that b(p) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -579, -4888, -16565, -39294, -76759, -132644?\nAnswer: -210633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7667 + -114952\/15. Find the common denominator of 4\/19 and u.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*r**2 - 2374 - 2406 + 4780 + 172*r**2.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 907549630 and 6162?\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 461 in -4, 0.3, -10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.1, -2\/7, 1076.3, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*f**3 + 9*f**3 - f**4 + 60*f**4 - 2217 + 2217 + (-2*f**3 + f - f)*(-3*f + 0*f + 2*f) + 6*f**4 - 2*f**4 + 0*f**4.\nAnswer: 65*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 5*u + 59. Let y be c(-10). Find the common denominator of (-10)\/(-8 + -2) + (-85)\/y and -64\/75.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*k + 2, -3 = 2*l + 5*k - 0. Let w = 12 - 2. Let y = w - 19\/2. What is the closest to l in 0.4, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from {v: 1, d: 1, e: 3, m: 3, y: 2, l: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8.2, 7163, -4.3?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-157505)\/204)\/109*-12?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12970 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w + 69 + 45 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*z + 101*z + 3 - 488*z + 270*z - 4 + 194*z.\nAnswer: 308*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + -63. Suppose -2*s + 3 = 5*f - 5, -v*s - 10 = -4*f. Which is bigger: s or 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 1 - 2 + 0*t - 6*t.\nAnswer: -6*t - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2290 + 4?\nAnswer: -228b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.04 + -0.04. Let s = 0.5 + 1. Let x = 1.7 - s. Which is the third biggest value? (a) n (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b - 2 + 2)*(910179 - 910179 - 26*b**2 - 17*b) as c*b + u*b**2 + d*b**3 + k and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46896 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 3*m + 15. Suppose 6*j + 15 = 3*j. What is the remainder when z(j) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647703 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-one quarters of a meter?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 4*a + 34 = 761, -5*a = 711*s - 713*s - 145 for s.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 26325.44 minutes?\nAnswer: 1579526400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 264 + 472 = 0. Suppose 24*y + r = -2*y. Let q(i) = -i**2 - 5*i - 4. Calculate q(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16044 - -237?\nAnswer: -15807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*l, 0*h + 4*h - 18 = -5*l. What is the greatest common divisor of h and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34875 - -325764?\nAnswer: 360639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46496, -1\/5, -4, 0.4.\nAnswer: -46496, -4, -1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/1374111 + -1573356661\/298182087. Let h = t + -2\/217. Calculate the common denominator of h and 19\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2\/3, 33, -2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c - 2 + 7 + 1. Suppose -262*p = -265*p + 666. Suppose 217*m + 20 = p*m. Determine i(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 622, 620, 618?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 43366, 43392, 43418?\n\"Answer: 26*h + 43340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 49*i - 517. Determine k(-21).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)*j\/j**(-19\/4)*(j*j**(6\/11)\/j)\/(((j*j**(-1)\/j*j)\/j)\/j))**(10\/17) assuming j is positive.\nAnswer: j**(725\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m + 7. Let j(f) = -5*f - 6. Let z(n) = -3*n - 3. Let p(o) = 4*j(o) - 7*z(o). Give -2*i(g) - 5*p(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 + 4 = 8*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 30*n + 141. Let z be q(19). Is z equal to -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 27*k + 27. Let u be c(-26). Is 10\/7 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 21*k**2 + 31*k - 10. Is i(-5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 75*d + 67*d + 70*d - 205*d as g + p*d and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 32001.67t?\nAnswer: 32001670000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 8:41 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 t, and 1 e when three letters picked without replacement from ypyqccpyceetcyc?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (39\/1638*0)\/(4\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 26. Let f be q(13). Solve -v + 3*v = f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(9\/10)*180\/75. Suppose -2*s - q - 28 = 0, 0 = -s + 3*q + 2*q + y. Let n be -5 - s\/8*6. Solve -n*j + 6 = 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-2761\nAnswer: -8283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 5, -10, -2.\nAnswer: -10, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -6, -1, 0.42, -2?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 1\/9*l**5 + 0*l**4 + 0 + 0*l**2 - 1\/9*l**3 + 0*l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 + 14*r - 18. Let a be y(4). Solve -4*o + 6*o = -5*c - 9, -4*o - 2*c = -a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309230 is divided by 3669.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 2*m**2 - 2\/3*m**3 + 2\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (5\/1 - 28) + 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3 - (-158)\/(-456). Let m = c - -1\/76. Let u(h) = h**2 - 3*h - 6. Let j be u(5). What is the nearest to m in -0.3, -2\/21, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 6*u - 2. Let l be (0 + 1)\/1*6. Let v be i(l). Let x = -5\/226 - 387\/2938. Are x and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -27, -2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*g**3 + 258*g**3 - 490*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4127163 by -346.\nAnswer: -4127163\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*g + 90. Let l(r) = -4*r + 1. Let j be l(-5). Let m = g - j. Solve u - m = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260958397 greater than 260958397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p = -5. Suppose p*y = -a, y + 27 = -0*a - 2*a. Let o = 8 - a. Calculate the remainder when o is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 590, 2350, 5282, 9386, 14662?\n\"Answer: 586*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73045 or 72904?\nAnswer: 72904","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 12145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 + 12 = 0. Let t = -5 + o. What is the derivative of -3 + t*c - 4 + 5 wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*v = 12*v. Suppose 4*f - 2*k - 7268 = v, 0*k - 7268 = -4*f - 4*k. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0.4 (b) -27 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 69229, 138466, 207695, 276916, 346129, 415334?\n\"Answer: -4*u**2 + 69249*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5124693 (base 10) to base 8.\nAnswer: -23431125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (55 + -56)\/((-9)\/6). What is the second smallest value in 295\/3, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -3 (c) -1\/8 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(7)*-4 + sqrt(7) + sqrt(28)\/(sqrt(12)\/sqrt(3)*-3).\nAnswer: 5 + 14*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-12)*d*d*d*d**(-15)*d**(-3\/13)\/d**3 assuming d is positive.\nAnswer: d**(-354\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/2109 and -86\/2331.\nAnswer: 44289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/4 + 231*b**2 - 219765*b\/4 + 1449175\/2 = 0. What is b?\nAnswer: 14, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1033 - 1838. List the prime factors of (23 - v) + 1 + 2.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 977 by 4.\nAnswer: 977\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 19. Suppose 5*p - 5 = 5*k, 4*p - 2 = -x*k + 11. Solve z + 2*f = 13, -3*z - p*f + 35 = 3*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 52 = 2*l, 20 = c + 2*l - 3. Suppose -4*h + 12 = 0, -5*h = -4*y - 2*h - c. Let f(m) = -2*m + 10. What is the units digit of f(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 equal to 351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 3, c: 1, f: 1, a: 6, s: 3}. What is prob of picking 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13346592499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x**4 + 7*x**4 + 24*x**4)*(-4*x + 3*x + 3*x).\nAnswer: 48*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 3*x**2 - 8*x**2 + (3*x - 4*x + 3*x)*(-2*x + x + 0*x) - 7*x**2 + 3*x**2 + 2*x**2.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -0.5 (c) -1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3871715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 267215802 and 435.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.049 and -0.3?\nAnswer: 0.0147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 12, 4*h - h = -5*u + 5038. Suppose 2*b + u = 3*a + 6*b, -354 = -a + 3*b. Let w = a - 200. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3853, 7693, 11523, 15343, 19153, 22953, 26743?\nAnswer: 30523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1122480 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*p = -168 + 440 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 5. Let f be x(6). Suppose 9*s = f*s - 16. Let t(h) = 3571*h - 21. Is t(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*c - p, -2*c + 2*p = -c - 7. Suppose -71 = c*x - 291. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2535 (base 8) to base 16\nAnswer: 55d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + w - 20 = 0, -115*t = -119*t - 5*w + 59 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**3*s - p**3 - 362*s - 538 wrt s?\nAnswer: -p**3 - 362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45746*h**6 + 17*h**2 - 2*h + 29?\nAnswer: 5489520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 4, a: 1, r: 4}. Give prob of sequence ra.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 23485, 0.2, 8, -3 in decreasing order.\nAnswer: 23485, 8, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -0.93662?\nAnswer: -1.06338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -238, 5, -14847, 2, 3 in decreasing order.\nAnswer: 5, 3, 2, -238, -14847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {u: 1, c: 6, i: 3, x: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 372*b**3 - 3*b**4 - 203*b**3 + 2*b**2 - 186*b**3 to the form o*b**3 + i + t*b + w*b**2 + z*b**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-53)\/((-159)\/18)*(-1025)\/(-82)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 88.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 - 72. Solve 0 = -f + 3*f + o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173713199?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145712 = 4*w - z - 3*z, -2 = z. Suppose -39*p + w = -13*p. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000971 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1069 - 2099 + 1066)*(3*f + 0*f - 2*f) - 3*f - 2 + 2 + (3 - 3 + 1)*(-3 + 3 - f) + (-3*f + 4*f + 0*f)*(2 + 2 - 1).\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 4. Let o(z) = 7*z - 6 + 0*z + 0*z - 5*z. Let x be o(5). Put x, 0, n in descending order.\nAnswer: x, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10996018583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298503187?\nAnswer: 17, 257, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -229, -376, -523, -670, -817?\nAnswer: -964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*i - 18*i + 3534 = 817 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + -2 + 4 + (sqrt(605) - (-4 + (sqrt(605) - (sqrt(605) + sqrt(605) + -1)))).\nAnswer: 5 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 6, o: 2}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 15 = 19*k - 3*f, -5*k = 2*f + 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -362 + 362. Let n be (-1)\/(-8) - -6*9\/(-176). Which is the nearest to q? (a) 6 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 23. Let y be 2\/v - 3\/15. Suppose -5*c = -y*c - 20. Which is smaller: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2543634?\nAnswer: 2, 3, 251, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from natrtaannauatri. What is prob of picking 4 a?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2384044 is divided by 357?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 10:24 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 + 6*j**3 + 0*j**3 + j - 2*j**3 in the form n + z*j + c*j**2 + q*j**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61.7 + -59.414. Let n = m + -15.056. Let s = -1.13 + n. Round s to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*a - 1249475 = 0, -p - 49*a = -46*a + 249915. What is p rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -47. Calculate the smallest common multiple of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 7*a**2 + 11*a - 1. Let s be l(-3). What is the second derivative of b - 31*b**s + 2 + 38*b - 10*b wrt b?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*u - 57 + 57 - 91*u - u**2 + 142*u.\nAnswer: -u**2 + 135*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -22. Let i be (-15)\/n - 33\/(-12). Suppose -6*m = -2*m + 4*c, -2*m + i*c = 0. Solve y + 0*y - t + 1 = m, -5 = 4*y - 5*t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -291 - -228. Let l = 11 + 1. Calculate the remainder when (i\/27)\/(1\/(-9)) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:51 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2469? (a) -1 (b) 62 (c) 482\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 435051579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4681, 4679, 4677, 4675?\nAnswer: 4673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (198\/(-110))\/(6\/(-670)). Let i = -143 + v. Is 57 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -2\/3, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 36. Suppose h = 3*x + 3 - 6. Let i(s) = s**2 - 2*s + 1. Let p be i(2). Are x and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1211 is divided by 270?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*s - 218 = s, -4*k + 181 = s. Let r = k - 33. Solve -3*l + 0*f + 2*f + 5 = 0, r = -5*l - 2*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 226, 1 in increasing order.\nAnswer: 1, 3, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 289 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 5*d - 64. Let h be l(-12). Suppose -3*x = 6*z - 7*z - 11, -4*z = h. Solve -5*t + x*f - 23 = 0, 2*f + 8 = -2*t + 4*f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/29737 and -51\/2973700.\nAnswer: 2973700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/2 - (102\/15 - 5). Let l(k) be the first derivative of k + 0*k**3 + 0*k**4 + 3 - j*k**5 + 0*k**2. What is the first derivative of l(n) wrt n?\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616 is divided by (-440)\/(-44) + (118 - 2).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002406 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdddt. What is prob of picking 1 d and 1 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194000*c**5 - 4364840*c**4 - 2142525*c**3 - 264980*c**2 + 220*c = 0. What is c?\nAnswer: -22, -1\/4, 0, 2\/2425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 601 a factor of 733246444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**36\/a**(-15))\/((a*(a\/(a*a**19*a*a))\/a)\/(a\/(a\/(a*a*a**(-9))))))**(3\/50) assuming a is positive.\nAnswer: a**(39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 2 + 0*h - 5\/4*h**4 + 1\/3*h**3 + 0*h**2. What is the third derivative of z(v) wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2270*c**3 - 2272*c**3 + 4542*c**3 + 2671*c**2 + 3287*c**5 + 9*c**5 wrt c.\nAnswer: 197760*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and (-789)\/(-33) - (-1)\/11.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9630, 19237, 28816, 38355, 47842?\n\"Answer: -2*x**3 - 2*x**2 + 9627*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3024716 to the power of 1\/2, to the nearest integer?\nAnswer: 1739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*q + 579 + 121. Suppose 73 - 9 = 16*z. What is the least common multiple of q and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3233300 to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117695 or -118694?\nAnswer: -118694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 15675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 779\/(-123)*(-18)\/6\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445451*f**2 - 602106*f**2 + 80764*f**2 - 64683*f**2.\nAnswer: -1031476*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14135*q**5*r + 61*q**2*r - 99560*q*r + 3*q wrt q?\nAnswer: 282700*q**3*r + 122*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 5256.\nAnswer: 15768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*o**2 - 10 + o + o**4 + o**4 + 21*o**2 in the form q*o**2 + k*o**3 + s + d*o**4 + h*o and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*h + 200*h - 227 + 227 - 102*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**5\/100 - q**3\/10 + q**2\/2 - 8*q. Let v(k) be the first derivative of d(k). Factor v(a).\nAnswer: 3*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3294236875?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-785)\/10)\/(29\/10 - 3). Let s = 46316\/59 - j. Do s and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 52*t. Let b be g(4). Let x = 1050 - 1037. Calculate the highest common factor of b and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 61, 84, 107, 130?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 3. Suppose s*p = -20, 6*p - p + 20 = -4*h. Suppose -l + 10 = 4*l. Solve h*d = 2*d - l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**5\/2 + 13275*i**4 + 23510010*i**3 + 13910009645*i**2 + 83037594135*i\/2 = 0.\nAnswer: -1769, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12\/17 + -50\/119. Let y = -1.12 + -2.88. Put c, y, 1 in increasing order.\nAnswer: y, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 15. Find the third derivative of 6*y**2 - 2*y**4 - y**4 - 4*y**x - 2*y**4 wrt y.\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u + 4. Let i(p) = -5*p + 3. Let y(v) = 4*i(v) - 3*s(v). Let m(j) = -j**2. Determine y(m(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - -6) + 1*-7. Let c be (1 - (-3 + 1)) + f. Sort c, -1, 5 in decreasing order.\nAnswer: 5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -346 + 513. Let x = h - 91. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*z - 12 + 413*z - 76*z + 13 + 13 to y + i*z and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {g: 4, q: 3, e: 1, d: 1, v: 4, i: 7}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/4 - 3785*r\/2 + 1681294 = 0. What is r?\nAnswer: 1028, 6542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*b + 186*b = -169*b - 294*b - 12662 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 13, b: 2, t: 3}. Give prob of sequence fbff.\nAnswer: 143\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/53? (a) 10.5 (b) 15 (c) -0.07 (d) -4\/9 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - -2. Suppose 6 = 4*s - p. Find the second derivative of 14*v**3 - 17*v**3 + s*v**3 - 2*v wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/6 + 5)\/((-2)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7. Let y(l) = -26 + 2*l + 34 - 3*l. Calculate 6*v(m) + 5*y(m).\nAnswer: -5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4294702?\nAnswer: 2, 2147351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (892\/4460)\/(8\/35)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -10*t + 21. What is w(5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 8:29 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -1\/300*q**6 + 0 - 1\/150*q**5 + 0*q**4 + 0*q**3 - 237*q**2 + 0*q. Factor p(b).\nAnswer: -2*b**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 4. Suppose -q - 5 = 4*q + 2*j, -3*q + 3*j = 24. Which is the smallest value? (a) 2 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 - 3 = 0. List the prime factors of ((-141)\/1)\/q + -2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -422*y**2 + y. Let r(a) = -2*a. Give r(h(l)).\nAnswer: 844*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2336*v + 2343*v - 21 = 0. Suppose 36 - 1 = 5*r - 4*h, 2*r = 5*h + 31. Solve v + 3 = -r*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -183048 + 319747. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3584\/20)\/32)\/(1\/20)\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7, 4, -3, -14?\n\"Answer: -2*t**2 + 3*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -1. Suppose -103*w + 105*w - 16 = 0. Calculate the least common multiple of w and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 149862 to the power of 1\/2, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -10. Let p(h) = -15*h**2 - h. Let g be p(1). Let r be ((-12)\/g)\/((-2)\/8). Which is the closest to w? (a) 2\/11 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/84 and -59\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**3\/15 - 14*u**2\/5 + 14*u\/3 + 38\/5 = 0.\nAnswer: -1, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (3 - (1 + 2)). Let a be (6 + 4)*3\/k. Find the second derivative of 15 + 4*l**5 - a + l wrt l.\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 6 - 4*r - r - 3 to the form j*r + c and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fttff. Give prob of sequence ttff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/7)\/(j*j**(5\/4)))**(-42)*j**(-3\/5)*j*j**(-5)*(j*(j**(1\/3)\/j)\/j*j)**6 assuming j is positive.\nAnswer: j**(1099\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 310097 and 725.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242550?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -921 + -65?\nAnswer: -986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 - 86*u - 208. Let j be v(-26). Which is smaller: 8\/5205 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6691 + 330.7691. Let o = -518 + f. Let b = -198 - o. What is b rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4107221243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.8 - -18. Suppose -3*j - j + 8 = 0. Let m be j - (2\/(-7) - -2). Which is the closest to -5? (a) 3 (b) k (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 7)*(3*y - 4*y - 3*y)*(-5 + 4 + 0).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1445*k**4 + k**2 - 2*k + 23845.\nAnswer: -5780*k**3 + 2*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 542 = 3*f - 451. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02101342 - 1.3?\nAnswer: -1.32101342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 289301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o**3 - 942*o + 3352.\nAnswer: 9*o**2 - 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -106575 and 14760.\nAnswer: -91815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 82. Let q(i) = -10*i + 329. Determine -9*n(s) - 2*q(s).\nAnswer: 2*s + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 20*i**2 + 2*i. Let g be s(-1). Suppose -z = g - 21. Suppose 0 = -6*c - 5*c + 154. Solve 2*j = -2*k + 5 + 7, -z*j = 2*k - c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**5\/60 - 3*k**4\/8 + 3*k**3 - k**2. What are the prime factors of v(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*y + 146*y - 3 - 58*y + 7 to the form g + w*y and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4752 and 234531?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8382011 take away 1?\nAnswer: -0.1617989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -177936114*g**3*m**2 - 37933577*g**3 + 2*g*m**2 - 2*g wrt m.\nAnswer: -355872228*g**3*m + 4*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 11:36 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16810 (base 9) to base 6.\nAnswer: 125400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 9 + 5)*(-m + m + m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5735*k. Let l be g(1). Let z = l - 2735. Let p be -2*500*z\/(-1). Round p to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216711, 216715, 216723, 216735, 216751?\nAnswer: 216771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-910))\/(18\/(-39)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/(47988\/(-48)))\/(56\/(-252))\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q + 14. Let u(n) = -2*n + 5. Let z(p) = -14*u(p) + 5*v(p). Suppose -183 = -9*c - 93. Let l(a) = -c + 2 + 8 - 6*a. Calculate l(z(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11*g + 11)*(-196*g**2 - 58856*g + 58856*g + g**2 - g**2 - 2*g**2 + (-2*g + 5*g - 2*g)*(g + 0 + 0)).\nAnswer: -2167*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4))**(1\/11)\/(a\/(a*a**(-7))*a*a**(6\/7)*a) assuming a is positive.\nAnswer: a**(-3043\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 433383 + -1707?\nAnswer: 431575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = 0. Let y(s) = -s**2 + 7. List the prime factors of y(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*s - 13*s**3 + 30*s - s**2 in the form z*s**2 + p*s**3 + b*s + o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -7 - -9)\/(14 - (-16367)\/(-1170)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 431 - 131 = 0. Let h = x - 70. Suppose 0 = h*q - 11 - 29. Calculate the smallest common multiple of q and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6267 less than 6261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74 + (-14616)\/(-189) - (-627)\/54) + -1 + -14?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 + 2 - 11)*(4*u**3 + u**3 + 5*u**3) - u**3 + 3 - 3 to b*u**2 + y + d*u + k*u**3 and give k.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 60?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6945867 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*x - 2. Let i(z) = z**2 - 2*z. Let n be i(x). Solve 4*f + 5 + 7 = n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -369, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uupw when four letters picked without replacement from ujjwpw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (-12)\/14*((-1148)\/42 - -18). Suppose 1 = -t - 0. Let d be (5 - 8)*(-8)\/6. Which is the nearest to d? (a) 1\/5 (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*z - 2*c + 6, -5*c = -3*z + 20. Suppose 0 = -z*v + 15. Suppose 0 = -4*m + 9 + v. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.321 to one decimal place.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 30 = -0*f. Let l(b) = 3 + 3*b + 9*b - 9 + b**2 - 5*b. Is 24 a factor of l(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212927 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 - 627 = 71*h + 433 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -13. Suppose -3*g = -g + 20. Is w bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 7*m - 9. Let n be o(4). Let z = -7 + n. Let q(u) = 2*u**2 + 2*u + 1. Let y be q(-2). Put z, -1, y in ascending order.\nAnswer: z, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-422)\/(-126) + (-267 - 393120\/(-1470))\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 + -75453?\nAnswer: -75432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 37820, -11 in descending order.\nAnswer: 37820, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -387828 or -5?\nAnswer: -387828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 3*h, -177*h + 172*h + 45 = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3366091, 6732176, 10098261, 13464346, 16830431?\nAnswer: 20196516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 - -161 - (7 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 3*a. Solve -5*i = v + 9, a = 4*v - 0 + 16 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91463020 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16b0 (base 12) to base 7\nAnswer: 10641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*y + 21 - 11, -2*y = 0. Suppose -5*x + 60 = -f, -4*x - o*f - f = -48. What is the greatest common factor of x and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(6)\/sqrt(2)*-5 - sqrt(3))) + sqrt(3)*-1 + -4.\nAnswer: -4 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 - -4 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 0*q**3 + 11 - q**3 + 2*q**2. Suppose 5*v = 4*v. What are the prime factors of o(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 - 18*z**2 + 12*z + 48. Let k be c(8). Solve 6*i = -k*i - 88 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 10:56 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 128547121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.65*-215.\nAnswer: 139.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 7*n**2 + 6*n + 7. Let d be m(7). Let a = -21 + d. What is the greatest common factor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -6, 0.01, -52 in ascending order.\nAnswer: -52, -6, -3\/7, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 equal to 6918\/1975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*u - 4363 = 3550, -5*u + 7889 = 4*o. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 2:53 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20120221 (base 3) to base 14.\nAnswer: 1a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 149\/4 - (-12)\/(-48) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3111 + 6446. Is 24 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5 + 562*h**4 + 2856*h**3 - 11930*h**2 + 13049*h - 4536 = 0.\nAnswer: -8, 1, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39*y + 79 - 79)*((4*y - 4*y + 2*y)*(-3 - 2 + 4) - 4 + 4 - 2*y + 3*y - 2*y - 2*y - y + 2*y + 0*y) to the form a*y + x*y**2 + r and give x.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 220458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/15)\/k*k*k**(4\/5)*k)**(13\/6)*k**(-2\/19)\/((k*k**8)\/k)*k**4*(k*k\/(k\/((k\/(k**3\/k*k))\/k))*k)\/k assuming k is positive.\nAnswer: k**(-2009\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + 8. Suppose 0 = 3*s - b - 3, 12 = 4*s - 10*b + 6*b. Suppose s = 9*g - 53 - d. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 41 = -4*x + 2*c, 0 = c - 5. Let z be (-21)\/x*4\/3. List the prime factors of 0 + 2 - 22\/z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460928431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -19.392?\nAnswer: 19.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-6 - -8 - (-1 + 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/13, 27\/5, 0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 49 = -2*r, -586845*r - 168 = -586831*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.2 (b) 20 (c) -40196\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 188*c - 3930. Determine i(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 4*a + 2. Let o be x(2). Is 0 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*f*i*k + 2*f*k + 2*f + 6820828*i*k - 63069*i + 1 wrt k?\nAnswer: -3*f*i + 2*f + 6820828*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 30*m**2 + 58*m + 28. Determine u(-28).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1257, 2476, 3699, 4926, 6157, 7392, 8631?\nAnswer: 9874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*d + 84*d - 25*d - 18*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*p**3*y**2 + 1648*p**3*y + 93*y**5 wrt y?\nAnswer: 34*p**3 + 1860*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 3*g. Let y be m(-2). Which is the closest to -1\/4? (a) y (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15178937\/280 - -54211. What is the common denominator of d and -31\/168?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/16? (a) 1\/12 (b) -0.15 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90\/11*r**2 - 90\/11 + 6\/11*r - 6\/11*r**3.\nAnswer: -6*(r - 15)*(r - 1)*(r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 100914?\nAnswer: 100913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 15 = 4*m - m, 5*m - 25 = -4*n. Let o be (-22)\/33 + (-10)\/3. Let c be o\/6 + 22\/33. Are n and c unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = -3*k - 3*x, x + 8 = 3*k. Let a be (-6 - -4)*(-1)\/k. Suppose 1 = z - a. Solve 12 = z*s + s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9)*m**7)**(3\/13) assuming m is positive.\nAnswer: m**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/16 or 0.025?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75391 + -75389.68703. Let c = o + -1.306. Round c to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21135 * -405.\nAnswer: 8559675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -41. Let r = p - 13. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 4*d + 9*d)*(21*d**3 - 10*d**3 + 13*d**3) + d**4 + 3 - 3 + (-d - d + 4*d)*(-3*d**3 - d**3 + 7*d**3).\nAnswer: 151*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24009*v**3 + 15865.\nAnswer: 72027*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 2*o = 0. Solve o = 2*w - 5*g, -3*w - 2*g = -2*w + 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -58. Let m = 101\/3 - f. Is m at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 4*o - 34 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olooj. What is prob of picking 1 j and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 5*p - 20, -z + 3*z - p + 40 = 0. Let y be (-1 - -2)\/((-2)\/z). Suppose -4*w + w + 6 = 0. Calculate the highest common divisor of w and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 49 - 7 = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) 1\/70 (b) -0.07 (c) 2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 12) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3554, -1.2, -40 in decreasing order.\nAnswer: -1.2, -40, -3554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(0 - 4) - 40. Let p = 48 + h. Solve 4*b - 4 = -t, 2*b - p = -3*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 3)*(-3 - 1 + 2) + 2 - 2 + 2 + 37 - 6 - 4)*(-19*t**2 - 14*t**2 + 36*t**2) - 4*t**2 + 3*t**2 + 0*t**2.\nAnswer: 80*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-5) + 360\/225?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 12*h - 5. Let s be b(11). Suppose -2*g + s = g. Suppose -i = 3*r - 6, g*r - 7*r - 4*i + 3 = 0. Solve 0 = 5*u - r*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*a**2 + 20*a**2 + 46*a**2.\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-399)\/126 - -3) + 9350\/12. Calculate the greatest common factor of s and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0269 and -626?\nAnswer: -16.8394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 r, and 1 p when three letters picked without replacement from rrpppppsrfpppp?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108 by -1826.\nAnswer: 54\/913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -324 - -308 - (-15 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 3*o - 3. Give u(5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1272704254*z**5 + 31*z**2 + 13217 wrt z?\nAnswer: -76362255240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 692738?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -598 smaller than -603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 742360823 to the power of 1\/2, to the nearest integer?\nAnswer: 27246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275 and 150?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200207014?\nAnswer: 2, 7, 79, 181019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75084906?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 15*f + 6. Let r(i) = -1. Determine q(l) + 6*r(l).\nAnswer: -2*l**2 + 15*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l - 11. Let s be m(7). Suppose 11*o - s = 10*o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*w + 2004 = 1389 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1237\/7 + 177. Let x = -0.8 + 0.6. Which is the second smallest value? (a) -2\/17 (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 864?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -102222 (base 3) in base 2?\nAnswer: -101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49322.1395 - 3?\nAnswer: 49319.1395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtgz when four letters picked without replacement from {t: 4, z: 7, g: 6}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1432 and 2370054.\nAnswer: 1696958664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1270137 - 6.55?\nAnswer: -6.4229863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o - m + 17, 3*m = 4*o + 17. Let f(j) = j**3 + 4*j**2 - 6*j - 7. Let c be f(-5). Let n be -6 - -11 - (1 + 1). Sort o, c, n in decreasing order.\nAnswer: n, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -526*a**2 - 1029*a**2 - 220*a + 220*a to n + s*a + i*a**2 and give i.\nAnswer: -1555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47350 - 25209. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3130, 0 in decreasing order.\nAnswer: 3130, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 = 0, 2*t = 4*t - 3*y - 811. Suppose -3*f + 202 = -t. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Suppose n*k + k = 54. Let g be (-10)\/4*k\/(-15). Solve -3*z = -g*f, z + 0*f = -4*f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 28*a - 121. Let w be p(-24). Let n = w - -807. Put -3, 1, 0, n in ascending order.\nAnswer: -3, 0, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4, -1, 2, -2, 3, 173 in ascending order.\nAnswer: -2, -1, 2, 3, 4, 13, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 96.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/44 and 3\/116.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*u + 5*y, 3*y = 2*u - 10. Suppose 0 = -0*d - u*d - 5*w + 6, 5*w + 46 = 2*d. Solve -1 = 6*z - d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 8 + 16 = 0. Let q(o) = 2*o - 14. Calculate q(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22 + 14*7\/(-14). Suppose 11*c = -h*c + 13078. What are the prime factors of c?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13127 + -13125. Solve 9*c - m = 12*c - 18, 4*m = -x*c + 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*x = -2*x - 2, 2*a = -3*x + 2. Suppose -3*f - 2*m + 45 = 2*m, -2*f + 30 = a*m. Solve -u = 2*u - f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0171 times 42104.5?\nAnswer: -719.98695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 14*k + 32. Let u be h(16). Solve u = -n + 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 13696000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is (-554)\/(-3047)*(-2420)\/1672?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 - -87. Let t be (23 + -3)\/r + (-5)\/1. Solve t*o = -3*z - 39 + 14, -2*o - 10 = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -463211344, -926422687, -1389634030, -1852845373, -2316056716?\n\"Answer: -463211343*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 17 = 3*n, -4*n + 13 = -3*c - 11. What is the remainder when n is divided by 4\/3*81\/36?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7265*m**2 + 2*m + 51564 with respect to m.\nAnswer: 14530*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0.1. Let g = 0.2 + i. Suppose -32 = 4*u, y - 60*u + 16 = -62*u - 2. Which is the closest to g? (a) 0 (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 5*d - 3. Let y be a(4). Let p be -22*y\/(3\/3). Let j be 12\/66 + 15\/p. Put 0.3, 0.5, j in ascending order.\nAnswer: j, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -1) + 0 + 33 + -35?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 8. Let k(x) = x**2 + x - 2. Let r be k(-3). Let y be u(r). Suppose 0*s + 3*s - 5*g - 313 = 0, 4*s - 4*g - 404 = y. Is 32 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 10. Let y be (-1)\/n - 6\/(-8). Solve -3*j - y = 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 1204?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*j = -9, 4*s + 4*j + 44 = -0*s. Is (-831)\/s + 6\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19290.3 + -19292. What is the third smallest value in 79, 5, p, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 20 = -16*a, -2*c = -4*a - 48. What is the remainder when 50 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-3 - (1 - 3)). Suppose 7*a - 3*a - 5*x - 20 = 0, -a = -2*x - 2. What is the greatest common divisor of a and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 + (149 - (-41 - -110)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1) + (3 - -88). Find the common denominator of 45 and 4\/(-6) + z\/(-96).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000672935 rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 91635552 divided by -22908888\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 0.1. Let k = -0.36 - 13.64. Let v = k - -10. Sort -5, v, o in decreasing order.\nAnswer: o, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*v + 2 = 0, 2 + 9 = 3*r - 5*v. Let a = r - -22. What is the smallest common multiple of a and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/8 and (-9)\/45 + (-846)\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1107878510 to the nearest integer?\nAnswer: 33285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000335540027 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - -0.29. Let r be (-18*33\/2)\/1. Let a = r - -4457\/15. What is the smallest value in 3, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 5, 524, -2, -141, -6 in decreasing order.\nAnswer: 524, 5, 2, 1, -2, -6, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -35 (b) -163231 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 4, 2, 10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 12 - 116. Suppose j*a = 31*a + 8. Suppose 0 = -4*l - 3*h + 35, -5*l = 3*h - 13 - 27. Solve -2*f + 2*b = -a, 3*f - b - 19 = -l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 8:45 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 39 = -72 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-52)\/10)\/(6\/(-30)). Suppose 0 = n + n - r. Calculate the greatest common divisor of 143 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-6*(2 + sqrt(468))*2*-1 + 4))**2.\nAnswer: 64512*sqrt(13) + 1090816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3\/26512, -0.15, 2?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*j - 3*g - 3, 5*j + 2*g = 10. Suppose -3*i - 29 = 5*h, -h - 10 = h + 2*i. Let c = 17 + h. What is the lowest common multiple of j and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19116 - 2*y**3 - 31*y**3 + 19116.\nAnswer: -33*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 841*9*(-60)\/(-108). What is the highest common divisor of 15 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - sqrt(252)\/sqrt(4))\/sqrt(3))\/(sqrt(21)\/sqrt(48) + sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/242060 and 47\/2660.\nAnswer: 242060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147449 + -147422. Let a(n) = 14*n**2 - n. What is the remainder when d is divided by a(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - 6*n - 18237337 + 18237337.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-2) + (-2 + (-5112)\/(-16) - 8) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*o. Is 3 a factor of -7 + 18 + o\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5 + 7*m + 1 + 0*m + 0. Let k be 2\/8 - (-2)\/(-8). Let w be -6 + k*(-2)\/(-4). Let x(h) = -6*h + 3. What is w*x(b) - 5*u(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209, -390, -545, -662, -729, -734, -665?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 30. Solve -2*u + k = -4*j, -5*j = -3*u + 10 + 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -11?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1507 divide 47377864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 25*b + 52. Give s(8).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 18*i**2 - 17*i + 8. What is the remainder when (4 - 2) + 4 + 22 is divided by l(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Suppose -3*a - 5*c + 31 = 0, -j*a - 5*c + 17 = -8*a. Suppose 0 = q + 5*h - 145, -a*h + 0*h + 508 = 4*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**7\/840 + z**6\/72 + z**5\/60 + 5*z**4\/24 - 245*z**3\/3 + 161. Let x(k) be the third derivative of f(k). Give x(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 + (-8 - 224))*(5 - 2). Let s be (28\/(-10))\/(3606\/d - -5). What is the greatest common factor of s and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38, -168, -524, -1220, -2370, -4088?\n\"Answer: -19*b**3 + b**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6*-6 - 0)*(-2466)\/548. Let h = y + -154. Solve -28*j + 32*j = h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*c + 14*c - 15, -5*d + 10 = -c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5 + 24804*b**4 - 767836*b**3 - 3147042*b**2 + 21577997*b - 17687922 = 0. What is b?\nAnswer: -7, 1, 3, 34, 24773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 526*n**3\/3 + n**2\/2 - 1275*n + 224. Differentiate o(a) with respect to a.\nAnswer: 1052*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/((s*s\/(s*s*s**(-4)*s*s*s)*s*s)\/s))*s)\/(s*(s*s**(11\/5)\/s*s)\/s))\/(s\/(s*s**(-1\/6)))**(-4\/21))**(5\/7) assuming s is positive.\nAnswer: s**(-53\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 116912081161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1145502 (base 7) to base 16.\nAnswer: 23a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 25.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15014080 by -10.\nAnswer: 1501408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f. Let s(i) = 2*i - 258. Give s(z(v)).\nAnswer: -14*v - 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1363.8808 to 0 decimal places.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8 - -26713) + -18)*(-2)\/880. Let v be 2738\/6*(-12)\/(-88). Let d = v + m. What is the common denominator of -7\/18 and d?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eechcjchcjjkkl. What is prob of picking 2 c, 1 j, and 1 e?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 0, 5*x + 3*w + 26 = 306. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3034 - 3027. Let t be -2 - (-1 + 0) - 0. Let r be (-8)\/(-1) + (-1 - t). Which is smaller: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1206 = -5*v + z, 4*v - 7*z = -5*z + 960. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 168 = 12. Suppose -2*j + k = -x, 5*x + 19 = 5*j - 16. Solve 3*r + r = j*f + 14, 4*r + 2*f = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -15. Let i = r - -4. What is the third biggest value in i, -1\/5, -2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2100 = 3278*i - 3253*i. Calculate the remainder when i is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + -2.2. Let s = i + 10.8. What is s rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 198 = -0*i. Suppose -4*t + i = 7*t. Suppose 2*w + 573 = 5*w + t*n, 5*w = -n + 951. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - 11*p**2 - 11*p + 1. What is w(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 722*c - 356*c - 361*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1142.74 (b) -12 (c) -2\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, -3141, 2, 1 in ascending order.\nAnswer: -3141, -4, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 92, 302, 710, 1382, 2384?\nAnswer: 3782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 29 - ((4 + 7 - 23) + 41).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qbqtqttbtt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -31. Let t = 0.9 - 12.9. Let m = t + s. Which is the nearest to 0.1? (a) -4 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 361.8 + -361.1. Sort 0.06, -0.01, g in increasing order.\nAnswer: -0.01, 0.06, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 0*m**2 + 2\/3*m**3 - 1\/360*m**6 - 10*m + 7\/120*m**5 + 0 + 1\/4*m**4. Let x(s) be the second derivative of l(s). Give x(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -23.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1740 divided by -290.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/((-2)\/(3\/1*4\/30))*-2?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 555994 - 11679310\/21. Let l = d + 62823\/385. Find the common denominator of -13\/3 and l.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 4*b + 92 = m, 5*m - 3*b = 424. Calculate the remainder when 508 is divided by m.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 + 7*t - 12. Let p be w(-5). Let f = p + -28. Suppose 0*y + y - 16 = f. Calculate the highest common divisor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(297) - sqrt(297)*1)*-6 - sqrt(297) - sqrt(297))\/(sqrt(81) + sqrt(81)*2))\/(-5*sqrt(12) + -1*sqrt(12)).\nAnswer: sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 17*s**2 + 161. Let j(k) = -7*k**2 - 54. Calculate -17*j(l) - 6*q(l).\nAnswer: 17*l**2 - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, a: 2, w: 3, d: 5, e: 5}. Give prob of sequence deaa.\nAnswer: 5\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 + -11. Let c = -549532887 - -549533015.9999889. Let w = f + c. Round w to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from ffjffsfjffsssssjf.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*a + 841 = -1337*a + 760 + 17616 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 331425059 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (675502*l**2 - 160*l - 675502*l**2 + 2*l**3 - l**4)*(-2*l + 5*l - l).\nAnswer: -2*l**5 + 4*l**4 - 320*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.093 + -3.907. Let l = 0.29 + -0.43. What is the closest to 0 in y, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*u**2 - 62918*u*v**3 + 175196*v**3 + 4 wrt u.\nAnswer: -6*u - 62918*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 - -90. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 17*w**2 - 32*w + 25. Is g(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -15*h - 110. Let k(d) = d**3 + 17*d**2 - 6*d - 109. Let q be k(-17). Let b be y(q). Let z be (1 + (-1 - -1))*1. Sort z, b, 3 in ascending order.\nAnswer: b, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 676 + -681.24. Let a = j - -5.44. What is the smallest value in 1, 0, -0.11, a?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.24 + -0.14. Let f = 5.8 + 4.2. Which is the nearest to v? (a) f (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21502847 (base 9) to base 13\nAnswer: -21cc46c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a micrometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*w**6*y + 2*w**6 + 2*w**2*y + 341*w*y wrt w?\nAnswer: -8040*w**3*y + 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**(14\/9))\/z)\/z)\/z**(-4) assuming z is positive.\nAnswer: z**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 1)*(2*m + 119 + 50*m - 118) to x + h*m and give h.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45900*u + 45900*u - 283*u**2.\nAnswer: -283*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2853.257ng to micrograms.\nAnswer: 2.853257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 131835 and -47011535.\nAnswer: -46879700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 135*a**2 + 81*a + 333. Let c be s(-4). Let p be 60 + (0 - (-4)\/(-2)). Suppose j - c = -p. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9*l + 18. Let o(z) = -4*z - 9. Let c(d) = -5*o(d) - 2*v(d). Let j be c(-3). Factor 10*g**3 - 9*g**3 + j*g**2 - 4*g**2.\nAnswer: g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 5*l - 150, -2250*k + 118 = -1127*k - 1127*k - 2*l for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10*(6 + -161). Suppose 2*b = -x + 24, 0*b + d = 3*x - 4*b. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1542*v**3 + 357*v**3 + 86*v**3)*(-2*v + v + 3*v).\nAnswer: 3970*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12451923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -203200 - -203945.9002. Let z = c - 746. Let r = z + 0.1. What is r rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + (sqrt(112) + sqrt(112)*-2*-5 - (sqrt(112) + (-2*sqrt(112)*6 - sqrt(112)))))*-6)**2.\nAnswer: -1192320*sqrt(7) + 76817808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = 1. Suppose -2*r - 6 = 0, 0 = t*q - r - 0*r - 13. Let p = q + -2. Put 2, 1, p in descending order.\nAnswer: 2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 35*i. Let l(r) = -r + 14. Let s be l(12). Let g(v) = -12*v**2 + 4*v**2 + 3*v**s + 4*v**2. Give m(g(h)).\nAnswer: -35*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 4*p - 7. Let s(q) = 33*q - 3144. Let c be s(95). Determine k(c).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-44)\/30 - (-9)\/(-45))*-3. Suppose -h - a + 0 = -2*r, 3*h - 5 = r. Solve 3*w - 1 = h*b + 2, -1 = -4*w + 5*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.93 + -0.07. Let z = m + 21. Sort z, 0.09, 2\/7 in increasing order.\nAnswer: z, 0.09, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138229103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -2 - 7\/(-9). Let i = 39 - 54. Let n = i + 15.3. Sort n, r, -2\/5.\nAnswer: -2\/5, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/31710 and -109\/70?\nAnswer: 31710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/30*(-44)\/198?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -861*b**5\/20 + 1825*b**4\/24 - 2513*b**2. What is the second derivative of q(t) wrt t?\nAnswer: -5166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.047 - -0.047. Suppose i = -5*r - 18, -r + 0*r - 10 = -3*i. Let b be (-18)\/8*r\/(-6). Put b, d, 1 in descending order.\nAnswer: 1, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + (-1560)\/143)*-22.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 4\/7, -1\/3, -8, 5\/4 in ascending order.\nAnswer: -8, -1\/3, 4\/7, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - m**2 - m - 2. Let t(d) = -d**2 - 6*d - 5. Let q be t(-5). Suppose -3*h + 5*h = q. Give s(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (2 - 1) + -2 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 20*f + 38*f - f**2 + 4 as p*f + v + r*f**2 and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15184 by 104.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000916551 rounded to 6 decimal places?\nAnswer: 0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -8. Suppose -z - o*z = 350. Let t be 2\/(-5) - 8\/z. What is the third smallest value in t, 2, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 826 and 69.3.\nAnswer: 57241.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 15*j - 69. Let q be d(-10). Let z = q + 253. What is the remainder when 134 is divided by z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(6755\/(-16))\/(-1). Let c = -1674 + m. Calculate the common denominator of -11\/4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 14*o**3 + 4*o**2 - 23*o + 43. Is c(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 18*y - 10 - 8)*(-2*y + y + 3*y)*(0*y**2 + y**2 - 4*y**2).\nAnswer: 108*y**4 - 48*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -42. What is the closest to -0.9 in -2\/17, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -26909.9\nAnswer: 26909.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27498 + -1?\nAnswer: 27497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 408607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 686 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = n - 6*n. Let o = n + -15. Let k be o*(-3)\/(-6)*1. Solve 2*w - 6*w = k*d - 2, d = -5*w + 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*s + 16 = 4*k - 75*s, -5*k + 3*s = -20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*w = -7*w + 123. Let v(f) = 7*f + 26 - 48 + 28. Let r(q) = 6*q + 5. Calculate w*v(k) + 4*r(k).\nAnswer: 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000108343493 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3473016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 78812297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m, -2*m + 27 + 17 = 2*h. Solve 29 = 7*i + h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**2 + 24*n - 3. Let i(r) = -2*r**2 + 12*r - 2. Determine -3*h(d) + 5*i(d).\nAnswer: 2*d**2 - 12*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 365 divided by 1\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u - 36*u + 3*u - 37*u.\nAnswer: -65*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 16 (b) 5 (c) 0 (d) 0.226\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 + 31*k**2 - 22*k - 7. Determine y(15).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 58?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -482 and 61 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -20.63, -0.1, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h + 2*h)*(2*h + h - 2*h) + h**2 - 2*h**2 - 2*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4, 4*u + 13 = -u - 3*t. Let q(x) = -x**2 + 1. Let y be q(-1). Let k(j) = -j**2 + y*j**2 + 5 - 3 + j. Give k(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from {j: 4, h: 2, o: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g*x**2 + 101*g*x + 4*x**2 + 26*x wrt g.\nAnswer: 2*x**2 + 101*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9637 divided by 5\nAnswer: -9637\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/19?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -43 (b) 2 (c) 14 (d) -0.07 (e) -0.1 (f) 5\/3 (g) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -185\/6 (c) -1\/6 (d) -8.35 (e) -26 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7864*u + 308. Let n be b(28). What is n rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011011011 - -10?\nAnswer: -11011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z - 12. Calculate the smallest common multiple of 24 and t(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3075, -3087, -3099?\n\"Answer: -12*x - 3063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6.5 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22, 63, 118, 193, 294, 427?\n\"Answer: q**3 + q**2 + 31*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from ifeffieeief.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1024*q**3 + 464*q**3 + 1875*q**3.\nAnswer: 1315*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34332242 - 11?\nAnswer: -34332303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = l - 61, 0 = 5*i - 0*i - 2*l - 291. List the prime factors of i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3076\/311 + 4669883\/470232. What is the common denominator of -87\/224 and i?\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -1, -4, -7, -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/3 + 2959*z**3\/3 - 960918*z**2 + 831016244*z\/3 - 77778285544\/3.\nAnswer: (z - 274)**3*(z + 3781)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(56)\/sqrt(8) + -1.\nAnswer: -6 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1223444 + -104?\nAnswer: 1223340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8513*q - 5869. Is d(124) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from ffrrfrrfrffrf?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 343, 325, 295, 253?\n\"Answer: -6*p**2 + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-16)*-4*2\/(-10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -148941 + 148852 + (1 + 4 + 0 - -1).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 9*m**2 - 7. What are the prime factors of k(-10)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1007\/57 + (-4)\/(-12). Let j be (-1 - 28\/(-27))*c\/(-15). What is the biggest value in j, -10, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 229*b**5 + 248*b**2 + 1114*b - 63.\nAnswer: 4580*b**3 + 496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7185 (base 10) in base 14?\nAnswer: 2893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3 + p**2 - 5*p**2 - 4 + 3*p**2 + 14*p. Suppose -g = -3*g + 24. What is the units digit of z(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyjf when four letters picked without replacement from {f: 4, y: 2, j: 3, l: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(891) - -1*sqrt(891)*1))**2 + 1.\nAnswer: -180*sqrt(11) + 3590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - v + 81 = 0, 304*o - 301*o + 2*v = 50 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2625, 0, -4, -7 in decreasing order.\nAnswer: 0, -4, -7, -2625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by -25?\nAnswer: -38\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r. Let f(m) = 23*m + 171. Calculate -f(j) - 6*s(j).\nAnswer: j - 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, p: 9}. What is prob of sequence qpq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6385733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65950 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 614 - 2455\/4. What is the closest to -1 in -0.2, z, 2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, z: 1, h: 3, e: 1, g: 3, b: 1}. What is prob of picking 1 g and 3 h?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -2, 0, 4 in increasing order.\nAnswer: -2, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15043846?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20715 - -69172. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37141 = 1749*p - 77368 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 12:48 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {h: 4, l: 2, j: 3, w: 6, d: 2}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f - 782. Let i(r) = -r + 313. What is -12*i(m) - 5*j(m)?\nAnswer: 2*m + 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198612)\/3546 + 32 + (-9 - -33).\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:29 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1485787*u**5 - 1561*u + 11.\nAnswer: 29715740*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12061.189 - -12056. Let n = 0.011 - q. Let b = n - 4.05. Round b to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 157 and 7029989.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 + -1?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2528 a factor of 429306873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 576\/7 + 240\/7*t + 1\/7*t**4 - 10\/7*t**3 - 23\/7*t**2.\nAnswer: (t - 8)**2*(t + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3\/23, -0.07, 2, 3, 0?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 divided by 1941695?\nAnswer: 13\/388339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1481 = 3*k, 1477 = -z - 3*k + 2*k. Let y = z + 3529. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4148765756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(520\/450)\/13?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*c - 1, 2*c - 5*u + 0*u + 14 = 0. Let b be (33 - c)\/(2\/3). Suppose 273 = 4*h + b. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*g + 2*g + 36045 = 0 for g.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 + 79. Let b = -15.1 + f. Let m = 15 + -10. What is the nearest to 0.1 in m, -2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4. Suppose 2*f + 4 = -y*f. Which is smaller: f or -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 21*l**2 + 41*l - 69. Let s be i(21). Calculate the greatest common divisor of 150 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -32. Let d = v - -14. Let u(m) = -m**3 - 8*m**2 - 6*m - 1. Calculate u(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**10*i**(5\/7))**27 assuming i is positive.\nAnswer: i**(2025\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 687223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 - -63. Suppose 0 = m + 1, 3*o - 2 = -m + y. Let h be (-24)\/18*6\/o. Which is bigger: -27\/8 or h?\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60\/7 + 3\/7*h**2 - 24\/7*h.\nAnswer: 3*(h - 10)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 r when four letters picked without replacement from urrxjjxxjjxqjrr.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t + 31. Suppose -5*b - 80 = -90. Is 4 a factor of l(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103623208394 minus -4163?\nAnswer: 103623212557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 3*d)*(-2*d**2 - 1 + 1)*(3 + 2 + 1).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -2\/5, 1009.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12*(-1)\/(-2)*1. Let k be 10\/15 + (-112)\/w. Let p be (-4)\/1 - (-22 - k). Solve -5*t + 11 - 1 = p, 0 = 2*h + 4*t - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -212, 0, -2, -1, 4, 3 in descending order.\nAnswer: 4, 3, 0, -1, -2, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 0.49 (c) 3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p**2 + 668*p + 667. Let y be u(-1). Solve 0 = y*s + 1 + 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 88\/104) + 3 + 125\/(-52). What is the closest to f in -8, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -229 + 228. Let w(v) = -v - 1. Let k be 0\/2 + -3 + 0. Let x(l) = 2*l + 4. Give k*w(f) + n*x(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -553, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/54)\/(183\/122*434\/(-189))?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-36)*0 - 6) + 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13807 - -13808. Let x = -3.5 - -3. Which is the nearest to j? (a) -8 (b) 4\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 10, 0 = 2*n + 3*r - 12 + 2. Let g(i) = -15*i**3 + 5*i**2 - 5*i**n - 1 + i**2. What is the units digit of g(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -332 + 15*j**2 - 135*j + 5*j**2 + 262 - 10*j**2.\nAnswer: 5*(j - 14)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448)*-3 - (sqrt(21) - -2*sqrt(21))\/sqrt(3).\nAnswer: -27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 202 and 12?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 317895, 0.1, -2\/5.\nAnswer: -2\/5, 0.1, 317895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/4 and -13\/215.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -13, 22, 131, 338, 667?\nAnswer: 1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -348.172493 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -3 - (-1 - -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + sqrt(128).\nAnswer: -3 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(75))*-1 + sqrt(75) - (sqrt(75) + sqrt(75) + (sqrt(75) - 1*sqrt(75))*-1 + sqrt(75)))**2.\nAnswer: 60*sqrt(3) + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 + 0.37. Let t = 0.8 + -1. Which is the second smallest value? (a) t (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1588*f - 2. Let h(g) = 1590*g + 2. What is 4*h(u) + 5*t(u)?\nAnswer: -1580*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 + 2 - z**2 - 28*z**4 + 4*z - 16*z**3 + 27*z**4 in the form r + s*z + q*z**3 + w*z**2 + f*z**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -236 - -846. Let u(g) = 2*g + 610 - q. Let i(c) be the second derivative of -3*c**3\/2 - 2*c. Give u(i(s)).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 + -0.41. Let g = 1.75 + 0.25. Which is the nearest to 2? (a) z (b) -0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1. Let a(k) = 2*k + 6. Let c be a(-4). Let b = o - c. Which is greater: b or 3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 5*p**2 - 3*p + 6. Let f be k(-5). Suppose -3*r - 2*y = 2*r + 5, -r + 4*y = -f. What is the highest common factor of 9 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 8, -4*t - 2*h = -300 - 76. Suppose 3*i - o - t = 0, -5*o + 114 = 2*i + 2*i. Calculate the remainder when i is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 333, 730, 1275, 1962, 2785, 3738, 4815?\nAnswer: 6010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1326637012?\nAnswer: 2, 827, 401039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 628 divided by -6.\nAnswer: -314\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 1, 9, 260 in decreasing order.\nAnswer: 260, 40, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -532, 2\/15, -1 in descending order.\nAnswer: 2\/15, -1, -532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 52*u = 50*u, -8*u - 18 = 2*t. Solve 5*l - v = -2*v - 29, -t*l = 4*v + 31 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108 - -105. Let h = 3643\/15 - 243. Let q = 0.1 - -0.4. Which is the closest to 0? (a) r (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/89789 or -1?\nAnswer: -2\/89789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 38.01373 millilitres?\nAnswer: 0.03801373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 202?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 2634333?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 13*p**2 + 3)*(-2*p + 12*p + 3*p).\nAnswer: 169*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2076789 and 309?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35178091*l**3 + 33823309*l**2 wrt l.\nAnswer: -211068546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 5*c - 15, -6*z - 247*c = -246*c + 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 30*v**3 - 5*v**2 + 41*v - 9. Let p(a) = -13*a**3 + 2*a**2 - 21*a + 5. Calculate -5*p(w) - 2*s(w).\nAnswer: 5*w**3 + 23*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 12:04 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s - 28. Let p be ((3948\/(-32))\/(-7))\/(9\/s). Let i = -55 - p. Which is the nearest to 4? (a) -1\/9 (b) i (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1434130013 + -33?\nAnswer: 1434124430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -69, 0.5, -3, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -61136 to the nearest 1000.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -518.9435 - -1.0824\nAnswer: -517.8611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -10*l**3 + 2*l**2 - 1. Let n(f) = 8*f - 3. What is the remainder when n(3) is divided by r(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t. Let v(w) = -8*w - 3. Let d(q) = -10*q - 4. Let u(a) = -3*d(a) + 4*v(a). Calculate u(o(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 123*l - 120.\nAnswer: -3*(l + 1)*(l + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30170 + 50881. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 + (-82790)\/510 - (2\/9 - (-34)\/(-126))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4)\/(6\/4). Let i = 27 - 26.5. What is the third smallest value in h, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.861507 tonnes?\nAnswer: 7861507000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000214163 rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lluhluldllllul. Give prob of picking 1 d and 1 l.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 468266, 936458, 1404574, 1872614, 2340578, 2808466, 3276278?\nAnswer: 3744014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*d**2 + 291 - 7*d**3 - 12*d + 25*d**3 - 276.\nAnswer: 3*(d - 1)**2*(6*d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 339283987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, e: 7}. Give prob of sequence ekee.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-2)*66\/(-55). Solve 9 = -0*z + a*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-36))\/((-14)\/(-252)*8\/(-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 61 - 265 + 48 + 50 + 2*t + 54.\nAnswer: 2*t + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*v - 1 = 40*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54892489117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 8:17 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 179 - 142. Suppose 0 = x*c + 3*c - 1440. What is the highest common divisor of 198 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11075 + -5485. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 1:48 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 3*i + 3. Let b be h(3). Let t be (-328)\/(-2)*b\/6. Suppose -2*f = -t + 4. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 986141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y**2 + 36*y - 1. Let j(v) = -14*v**2 + 72*v - 3. Give -4*j(x) + 9*r(x).\nAnswer: 2*x**2 + 36*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2208 = 82*g - 13*g. Solve -g*a - 20 = -28*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(2*(sqrt(2) - (sqrt(2)*1 - sqrt(2)))))\/(sqrt(27)\/sqrt(3)*-5 - 1*sqrt(1296)).\nAnswer: -sqrt(2)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h - 2. Determine p so that -h + 6 + 0 + 9*p**2 + 12*p = 0.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 77.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msqqx. Give prob of sequence qqsm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 + -7) - (25 - (-10 + 24)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10\/3)\/u*u*(u*u**(-7))\/u)\/(u*u**(-2\/23)*u*u**(-4)\/u) assuming u is positive.\nAnswer: u**(-500\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*p**3 + 0 + 4*p**2 - 16*p**3 + 1 + 28*p**3 as u*p + y + f*p**3 + c*p**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/14 - (-1026)\/(-1330). Sort y, 3\/10, 2 in descending order.\nAnswer: 2, 3\/10, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*u = -26117, 313*f + 8711 = 314*f - 4*u. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 8*f**2 + 6*f - 1. Let s be x(-7). Suppose -4*g + s = -g. Find o such that -2*o**2 + o - 2*o - 3*o - g = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2196975813 to the power of 1\/3, to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29379 - 29374. Sort 0.5, 492, -5, i.\nAnswer: -5, 0.5, i, 492","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**6\/120 - u**5\/30 - 7*u**4\/2 + 60*u**3 - 2*u**2 + 613. Solve b(j) = 0 for j.\nAnswer: -10, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15708013 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-1\/3))**(-21))**(-3\/11))**(-3\/17) assuming i is positive.\nAnswer: i**(-315\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + 151. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**2 + 6*h - 4. Let y(f) = -5*f**2 - f + 1. Let m be y(-2). Let u(i) = 14*i**2 - 17*i + 11. Determine m*q(j) - 6*u(j).\nAnswer: j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13243 = -1932*b + 30861 - 21688 + 74184 for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*r + 7. Suppose r*h + 6 + 4 = 0. Suppose -3*d - 2*b + 16 = 0, -44 = 4*d + 4*b - 68. Put h, 1, d in ascending order.\nAnswer: h, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30677*a = -30661*a - 416 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3580\/378991 + 793169329406\/49647821. Let k = o + -15976. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2. Let i = -261 + 287. Let k(g) = 0 + i*g + 0 - 2*g. Give k(m(l)).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 - 4460*s**3 - 2508650*s**2 - 24753000*s - 61605000.\nAnswer: -2*(s + 5)**2*(s + 1110)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-8) - 589837\/(-144584))*(-1 + 12\/10).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 37 + 23 = 5*m, -2*m = 0. Let v(c) = 7*c - 6. Let y be v(4). Let u = y - o. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 9:20 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*k = 3*n - 10, 3*n - 4*k + 10 = 0. Let i be (n + -1)*-3 - 16. Let p = -16 - i. Is p >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 344496.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34019 + 34019. Which is the closest to -1? (a) -0.3 (b) 2\/11 (c) 252 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25674?\nAnswer: 2, 3, 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**9\/1008 + c**6\/120 + c**3 + 3. Let p(i) be the third derivative of b(i). Find the third derivative of p(n) wrt n.\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4706 times 75.55\nAnswer: 35.55383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -1. Suppose -5*w + d - c = 0, -5*w + 9 = 4*d + 27. List the prime factors of (36\/21)\/(w\/(-14)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28786800 divided by 3864\nAnswer: 7450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 9*f**2 + f + 9. Let o = 773 - 764. Determine h(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.47 (b) -5 (c) -1\/3 (d) -0.214 (e) 76 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -14*q**3 + 7*q - 5. Let t(a) = 7*a**3 - 4*a + 3. Let k be 23\/(-8) + 47\/(-376). What is k*x(v) - 5*t(v)?\nAnswer: 7*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(-3*sqrt(432)))**2.\nAnswer: 1\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1093*n + 43*n**2 - 541*n - 552*n - 35*n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6015942, -12031877, -18047812?\n\"Answer: -6015935*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2)\/(26\/39)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 28. Suppose 7 - 1 = 6*a. Solve -a = 3*j + n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270\/15336*(-8)\/(-5)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-1.475\nAnswer: -0.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 595012088 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 - 5*t**2 - 2*t**4 + 56 - 58 + 9*t**3 + 3*t**2 + 9*t - t**2 as a + h*t**3 + l*t**4 + g*t + r*t**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -714 in -123, 0, 0.058?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -1, -4\/11 in increasing order.\nAnswer: -3, -1, -4\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 11*f - 23. Let k be w(-13). Let h(q) = 9*q**2 - q - 2. Calculate the remainder when h(k) is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 740094 and 4002.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h + 203. Let i(x) = 2*x. Give u(i(m)).\nAnswer: -6*m + 203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21303757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m**3 - 20*m**2 - 6*m + 4. Let b be t(-3). Solve 3*o = -3*h + 1 - 7, -b*h - 12 = 5*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 9:03 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 794482 - 1588905 + 794426 - g.\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(11))*-4.\nAnswer: -4*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 11:18 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3507)\/1323 + 1296\/(-729)\nAnswer: -31\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 6*r + 8. Let g be (1 - 2) + 7 + -3. Let j be -9 + 8\/(1 + g). What are the prime factors of p(j)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 3*q**2 - 7*q**2 + 8*q**2.\nAnswer: -2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -78, -239, -508, -897, -1418?\n\"Answer: -2*l**3 - 42*l**2 - 21*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15510 = -3071*h - 29733 - 37999 - 27624 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(-2*p**4 - 2*p**5 + 2*p**4) - p**5 - p**2 + 2*p**2 + 0*p**5.\nAnswer: -7*p**5 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.208729671 take away 0.3?\nAnswer: 0.908729671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (66837\/(-12))\/(9\/8). Let i = 4946 + j. Calculate the common denominator of 67\/2 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 9684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-514)\/(-4) - (-6 + 33\/6)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 2*k + 10. Is d(8) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 708, 1424, 2140, 2856, 3572, 4288?\n\"Answer: 716*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3130, 12493, 28106, 49975, 78106, 112505, 153178?\nAnswer: 200131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464744890?\nAnswer: 2, 5, 46474489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**3 + 2422*l**2 - 15529697*l + 15527274 = 0.\nAnswer: -5334, 1, 2911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2\/125 of a centimeter?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/195977 or 0?\nAnswer: -6\/195977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57994\/9 + 6444. Put j, 317, 0.2, 2 in descending order.\nAnswer: 317, 2, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*t - 2980, -5*l = -2*l - 4*t - 2239. Calculate the remainder when l is divided by 155.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1253, 1\/8, 5, -1\/4 in increasing order.\nAnswer: -1\/4, -0.1253, 1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 + 38*c - 117. Let l be h(-27). Suppose -l = -2*v + 4945. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2928\/(-732)*(0 + (-2)\/(-44)). Is q < 0.379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1357\/5 + 271. What is the nearest to 2\/5 in -0.1, -1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6644?\nAnswer: 2, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104641\/5 - -20934. Which is the second smallest value? (a) -1 (b) -3 (c) -5 (d) l (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**4 + w**3 - w**2 + w - 1. Let r(j) = 6*j**4 + 6*j**3 + 12*j**2 + 3. Let a(g) = -r(g) - 3*y(g). Factor a(n).\nAnswer: -3*n*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + 2. Let p be c(6). List the prime factors of (-172)\/p - (-4)\/(-20).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4914818 >= -4914760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5, -1\/4, 1\/2, -0.01?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2479672 is divided by 275502?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 554 = -2*x, 0 = 3*x - 5*u - 133 - 698. Suppose -x + 101 = 8*o. Let g be (-12)\/(-4) - (-62)\/o. What is the biggest value in g, 0, -2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -939*y + 28179. Calculate r(30).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 5*a**2 + 2*a - 4. Let q be h(-4). Suppose 25 = 8*y - 55. Solve -q*d + 19 = -5*b - y, -3*b - 4*d = 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 50 = 30*c - 29*c, -5*c - 298 = -o. Let d(x) = x**3 - x**2 + x - 55. Let h be d(0). Let p = h - c. Solve j - 1 = -0*j - 2*l, -p*l - 3 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/95*(8\/52 - (-2718)\/78).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 u when three letters picked without replacement from lduudlduuldu?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 19*d**4\/12 + 4*d**2 - 2*d. Let c(w) = -18*w**2 - 7. Let g(u) = 7*c(u) + 6*f(u). What is the first derivative of g(o) wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w**2 + 2*w + 2. What is the units digit of v(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*m**3*y - 408352*m**2*y + 25325081*y wrt m.\nAnswer: -57*m**2*y - 816704*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310079*x + 310039*x - 3*x**3 - 620118*x.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 n when four letters picked without replacement from {t: 4, d: 1, x: 4, s: 10, n: 1}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 - -60. Let i be (-164)\/t + 6\/(-15). Suppose -i*k + 8*k = -512. Calculate the remainder when 318 is divided by k.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 - -88. Let a(d) be the second derivative of 0*d**2 + 1\/12*d**3 + 5\/48*d**4 + 0 - 1\/40*d**5 - c*d - 1\/24*d**6. Let a(y) = 0. What is y?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - ((706 - 694) + 0 + 0 + -15).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.4, 2.5, 0 in decreasing order.\nAnswer: 6, 2.5, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 10. Suppose -d - 3*k = 0, d - h*k - 14 = -3*d. Suppose -z + 31 = d*o, -83 = -2*z - 0*o + o. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54239729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b + 2*b**5 - 4*b + (-2*b + 0*b + 0*b + (-2*b + 0*b + 3*b)*(-2 - 1 + 4) - 2*b - 6 + 6)*(3*b**4 - 4*b**4 + 2*b**4).\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*l - 5*x, -5*l = -13*x + 18*x + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 7 - 15. Suppose 112 = -7*j + p*j. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1075 by 2719.\nAnswer: -1075\/2719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-2 - -4)*-1. Let d be 402 + f + 0 + 4. Suppose -2*p + 2*y = y - 204, 4*p - 4*y - d = 0. Does 33 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -176 - -125. Let p = c - -8. Let l = p - -72. Find the common denominator of -44 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-78900)\/2) + (0 - 22\/(-11)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*d + 31 - 87, 2*d - 22 = 3*j. List the prime factors of (6 - 1)\/((-2)\/j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 12. Give f(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -179*b + 6521 + 803 + 1984 for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-48)*6*(-12)\/(-2). Factor -11*s**2 - 49*s**2 - 18*s + n*s + 15*s + 12*s - 33*s**3.\nAnswer: -3*s*(s + 2)*(11*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(75))**2 + 5 + sqrt(48).\nAnswer: 44*sqrt(3) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 19*y - 7. List the prime factors of h(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q**2 - 7*q - 11. Let l(j) = -5*j**2 - 4*j - 6. Let g = 13 + -6. Give g*l(m) - 4*u(m).\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6*s = 0. Let y(o) = -2*o**2 - 2*o - 1. Let w be y(-2). Let k = -5.6 + 6. Which is the nearest to s? (a) 3 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + -1 - (-3 + 2). Suppose -62*h - 26*h + 74 + 278 = 0. Solve s = h*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -14*d - 31. Let b be r(-4). Let h be 9\/(-4) + b\/100. Sort h, 7, 3.\nAnswer: h, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 - 95.9. Let k = u + 6. Let h(x) = x**3 - 5*x**2 + 5*x - 6. Let l be h(4). Are k and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egeg when four letters picked without replacement from ggeegegeee.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/5 of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 627732 by -4982.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:22 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 11831.0812529?\nAnswer: -11830.8812529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29801007 and 594.\nAnswer: 655622154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119.4561549 - 119.451. What is p rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91881, -183749, -275615, -367479, -459341, -551201?\nAnswer: -643059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1.3. Let n = 0.2 - w. What is the closest to -2\/7 in 1\/3, n, 7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(14\/5 + -3). Let q = o - -84. Calculate the remainder when q is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - v + 2. Let u(m) = -7*m**3 - 11*m - 9. Suppose 58*i = 62*i + 20. Let c(h) = i*y(h) - u(h). What is the first derivative of c(l) wrt l?\nAnswer: 6*l**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - o - 7 = -2, 0 = -4*d - 4*o + 12. Let b be 8\/(-16)*3*d. Find the first derivative of 2 - 4*x**2 + 0*x**2 - 3*x**2 - b wrt x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91*k + 2 - 10 + 8)*(-k**3 + k**3 - k**3 + (-4*k + 6*k + 3*k)*(0*k**2 - 2*k**2 + 4*k**2)).\nAnswer: 819*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 7*h + 2. Let d be f(-8). List the prime factors of (66\/12)\/(1\/d).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30281 and 40469.\nAnswer: 4330183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31285 or -281572\/9?\nAnswer: -281572\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11516 - -18226. Suppose -18*z + h = 3*l - 20*z, -l = -2*z - 2242. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -100110000111110011101011?\nAnswer: -100110000111110011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o**2 - 6*o - 35. Let v(h) = -4*h**2 - 2*h - 18. Let a(u) = 3*p(u) - 5*v(u). Find g, given that a(g) = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(180)\/(sqrt(30)\/sqrt(6)))\/sqrt(12)*1*-5)**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 15*g**2 - 36*g + 17. Let j be s(16). Let t = j + 968. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 2*j - 0*j + 3, 2 = 2*q - 2*j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.95 + -15.95. Sort 2\/7, z, 3, 0.2.\nAnswer: z, 0.2, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14a0 - -9?\nAnswer: -1497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*3\/6 + 250\/100. Solve -2*g + 2*p = 3*g + 29, -b*p + 14 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13\/9 - -95\/72. Let m = -1972.1 + 2083. Let n = m + -111. What is the closest to n in y, -0.5, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130 + -79. Let i = s - 51.3. Suppose 0*p + p = 0. Which is the closest to p? (a) -0.2 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139.912969+0.1718\nAnswer: 140.084769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = -103*p + 55*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/40)\/((-2)\/((-8)\/78)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 take away -29?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5)*l*l)**(1\/6)*(l**1\/l*l)**(-3\/31) assuming l is positive.\nAnswer: l**(79\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -510 - -289. Suppose -9*t = -13*t - 576. Let h = t - c. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 817793752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1 = 21. Let q = j + 47. Calculate the greatest common factor of 34 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 19688789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 455 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 104248?\nAnswer: 104248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -21, -2, 4, 827, 0, -4 in decreasing order.\nAnswer: 827, 6, 4, 0, -2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001010111011 (base 2) in base 5?\nAnswer: -1021313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 8*s**2 - 16*s + 23. Let d be m(6). Sort -2, d, 6, 3 in descending order.\nAnswer: 6, 3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 4*s = 0. Let b(h) = -h**2 + h. Let z be b(s). What are the prime factors of -1*(-11 - 1 - z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 560*p**2 + 111592*p - 648960.\nAnswer: -2*(p - 130)*(p - 6)*(p + 416)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -4. Let j be ((-6)\/(-10))\/(h\/(-5)). Suppose j*c - k = 21, 4*k - 46 + 11 = -5*c. Calculate the highest common divisor of c and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p - 2*p + 16*p)*(-10*p + 20 - 6 - 11) in the form r*p**2 + x*p + j and give r.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00365280781 rounded to six decimal places?\nAnswer: -0.003653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/13 (b) 0 (c) 7\/3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 5*c + 11 - 4 = 0, 0 = -5*x - 3*c - 29 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*g + 9. Let x be -4 + (g - -4 - -2). Suppose -6*d = -16 - x. Solve 0 = 4*m - v - d*v + 8, 5*m - 5*v + 5 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 627 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12910561319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, -3, 2, 0 in ascending order.\nAnswer: -10, -5, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 18. Suppose 4*r = 4*y - 32, -y + 5*r + 1 + z = 0. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 3*v**2 - 11*v - 62. Give w(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 42579?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**2 + 40*v - 3. Let x(c) = 3. Let l(s) = -1. Let q(w) = 4*l(w) + x(w). Let g(h) = p(h) - 3*q(h). Factor g(k).\nAnswer: -4*k*(k - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.013 - 0.085. Let h = 0.323 + a. What is h rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230460*205.\nAnswer: 47244300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10001010010000101001 (base 2) to base 11\nAnswer: -357530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 637 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3115 + 3130. What is the greatest common factor of q and 720?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 3*n + 2 - 8, -3*n = 6. Let h be 18*1\/(r\/(-2)). Let m = 3 + h. What is the remainder when m is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 944147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2278 + -2258. Calculate the remainder when 75 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(176)\/(sqrt(252)\/sqrt(7)) - ((sqrt(308) - -3*sqrt(308)*1 - sqrt(308) - sqrt(308) - sqrt(308))\/sqrt(7))**2).\nAnswer: -46 + 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 12) to base 7.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 1. Is -2 + (m + 59 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 6*u + 2*t - 2776, -13904 = -5*u + 2*t. Suppose 0 = 221*c - 222*c + u. Round c to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 + 2796*q**2\/7 + 408960*q\/7 + 15846400\/7.\nAnswer: 2*(q + 80)**2*(q + 1238)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3\/167, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300\/20*(-86)\/7353*-190.\nAnswer: 100\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 775490.6ml to litres.\nAnswer: 775.4906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 a when four letters picked without replacement from ttatttttatatttatat.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/1)\/((-18)\/24). Let g(r) = -5*r + 9. Let n(u) = -u. Suppose 0 = -5*i + 1 - 6. Let j(x) = i*g(x) + 6*n(x). Determine j(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 777 divide 3028836132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -182, -383, -650, -977, -1358, -1787, -2258?\nAnswer: -2765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 3*x**2 - 2*x - 4. Give k(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001377 to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532439766.\nAnswer: 2, 3, 29579987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*u + 6*u - 5*u)*(6*u - 3*u - 2*u) - u + u + u**2)*(-59*u**3 - 16*u**3 + 23*u**3).\nAnswer: -104*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2311356 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24666912173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2705375, 5410751, 8116127, 10821503?\nAnswer: 13526879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 12 = 6*c. Is 16 a factor of (-1)\/c + 462\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 3563*y. Let p(i) = 5150*i. Calculate p(s(v)).\nAnswer: 10300*v**2 - 18349450*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 58731, 234797, 528243, 939069, 1467275, 2112861?\n\"Answer: 58690*c**2 - 4*c + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -573*c - 15455. Let i be k(-27). What is the highest common divisor of i and 4808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 - 200 - 103)*(3 - 3 - 1)*(-i - 2*i + 0*i)*(-2 + 4 + 5 - 5).\nAnswer: -1212*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -144518 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 2 - 15*l**2 + 25*l**2 + 4*l - 8. Calculate the remainder when q(-8) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 47114, 94227, 141340?\n\"Answer: 47113*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6060 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 159140.2 * 0.26.\nAnswer: 41376.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59.063 - -17094546108.\nAnswer: 17094546048.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 214 from -18277221.86.\nAnswer: -18277435.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.109*806854.\nAnswer: 87947.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19963.\nAnswer: 19963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*w - 25. Is 52\/(-6)*78\/w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 6:00 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.216381 grams in tonnes?\nAnswer: 0.000000216381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 8*v**2 + 6. Let o be y(-8). Let a(s) = s**2 - 5*s + 7. What is the remainder when 2*2*-1*-6 is divided by a(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 3. Let s be n(-3). Let u(i) = -10 + 18 - 11 + 6*i**2 + 4*i - i**3. What is the remainder when 60 is divided by u(s)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a3 (base 11) to base 8.\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17748 and 3225.\nAnswer: -14523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 146251 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 - 103.79561.\nAnswer: -102.99561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d5e (base 15) in base 4?\nAnswer: -10312301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1602*(-8)\/(-12818) - 1. Let v be (2 - (-27129)\/(-13572))*(-776766)\/(-34). Let j = h - v. Find the common denominator of j and 89\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 111486831.92 to the nearest 10000.\nAnswer: 111490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 7:10 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 8*m**2 + 9*m + 2. Let w be b(9). Let a(o) = -o**3 + 8*o**w + 4 + 0*o**3 + 9*o**2. Let l be a(17). Solve 0 = -2*j - 4 - l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w*w**(-1))\/w))**(-4\/9))**42 assuming w is positive.\nAnswer: w**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -19, -1, 7 in descending order.\nAnswer: 56, 7, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -67908.5852 to the nearest 10.\nAnswer: -67910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2694*l + 16162. Determine z(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 - -101. What is the smallest common multiple of g and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/19 + 32*o**3\/19 + 784*o**2\/19 + 1920*o\/19 - 7200\/19 = 0.\nAnswer: -10, -6, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:05 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 8*t**2 - 7*t - 9. What is u(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15179719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -101*i**3\/6 - 13*i**2 + 66*i. What is the first derivative of b(l) wrt l?\nAnswer: -101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p - 478 - 97 = -143 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4107*o**2\/5 + 444*o\/5 - 12\/5 = 0.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(12\/(-8)) - (-17)\/3. Suppose 3*c = -0*p - s*p - 16938, 5*c = -4*p - 13540. Let q = 4751 + p. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7029 and 482932131.\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -18. Which is smaller: l or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -964668202.5829729 - -964668328. Let r = 91.58297088 + d. Let o = -217 + r. What is o rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*((-15)\/6)\/5. Let i(o) = 4 + 3*o**2 - 4*o + o - 1. Calculate the lowest common multiple of i(g) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvwaavu. Give prob of sequence vaa.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/3))**(-5)*(i*i\/((i\/((i*(i**1\/i)\/i)\/i))\/i*i)*i*i)**(2\/37))**(-10\/9) assuming i is positive.\nAnswer: i**(9130\/999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-29 + 25) - 27.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -8.9?\nAnswer: -2.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 9) to base 5.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06137276 + -1.\nAnswer: -1.06137276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/12 - 206*n**3 - 1237*n**2\/2 - 2810*n. Suppose g(v) = 0. What is v?\nAnswer: -1, 1237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13069126 minus -145?\nAnswer: -13068981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/109 + 115\/327. Sort -4\/3, -2\/5, y in increasing order.\nAnswer: -4\/3, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -767*x**5 + 9*x**4 + 25*x**3 - 89855*x**2 - 49*x.\nAnswer: -46020*x**2 + 216*x + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9694951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003598 to four dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 - 62*v\/7 + 204\/7.\nAnswer: -2*(v - 3)*(v + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s. Let g be (-3)\/(-2)*(-28)\/6. Let z = -6 - g. Determine j(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 104180*n**2 + 0*n + 6*n**3 - 104128*n**2 + 2*n to h*n**2 + u*n**3 + d*n + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3284.25606 - 3284. Let w = 2818 - 2818.254. Let r = w + t. What is r rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40001?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 42*y**2 - 44*y + 44. What is x(43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/13429768 and -3\/37370.\nAnswer: 2484507080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/15 - (-70)\/(-25)) + (-114)\/(-36). What is the closest to 3 in k, -2\/7, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 7*x**2 + 2*x - 14. Determine n(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, -3\/2, -0.19, -3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11429.59g?\nAnswer: 11.42959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6*(-99)\/27*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 28*u + 1. Let w be n(-14). Let o = -7166\/9 + 796. What is the closest to 1 in o, -16, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(38)\/sqrt(2) - (sqrt(1539) + -1))*4)**2.\nAnswer: -256*sqrt(19) + 19472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 - 149*z + 56. Calculate h(49).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {s: 3, q: 1, e: 3, o: 5, j: 1, m: 1}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*r + 5. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*k - 149*k = 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 107\/6 in -4\/7, 8, 0.071, -0.4, 0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o + 28*o + 4682 = -h, 5*h + 23410 = -5*o. What are the prime factors of (h\/(-5) - 0) + (-360)\/(-600)?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 794, 795, 796, 797?\n\"Answer: k + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7547202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/5260684 and -73\/6.\nAnswer: 15782052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 53. Let v(h) be the second derivative of 1\/6*h**3 - 1\/20*h**5 + 0*h**4 - 1\/2*h**2 + 0 + h. Let y(l) = -5*l**3 + 4*l - 2. Give x*v(f) + y(f).\nAnswer: -2*f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 9*m + 3 = 0. Let k(s) = s**2. Let h be k(-1). Let y = h + -1. Is m >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.181 and 32391?\nAnswer: 32390.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 896 and 1571444.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1176)*-1)\/sqrt(4))\/(1*sqrt(128)*4))**2.\nAnswer: 147\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 29. Let b be y\/(-4) + (-3)\/6. Suppose b*r + 254 = 4*t, 0*t + 5*t + 3*r = 312. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10*v**2 - 7*v + 6. Let c(i) = 9*i**2 - 5*i + 7. Let q(f) = -4*c(f) + 5*x(f). What is the second derivative of q(y) wrt y?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5575500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**8\/32 - 187*l**7\/140 + 193*l**6\/20 - 128*l**5\/5 + 16*l**4 + 44*l**3 + 1336*l**2 - 2. Solve c(i) = 0.\nAnswer: -2\/7, 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1311*s - 46*s**3 - 30*s**3 - 16 - 23*s**3 + 1312*s in the form l*s + v*s**3 + h + w*s**2 and give v.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 9:46 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 18 = 3*q, 0 = 5*z - 4*q + 6*q - 5. Calculate the lowest common multiple of z and 20\/3 + (-1)\/(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -499 * 0.7592\nAnswer: -378.8408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 4. Let z be l(4). Let o be 1*((z - 1) + 3). Solve 0 = 3*n + o*n + 3*u - 37, 3*n = 3*u + 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34478293 and 11?\nAnswer: 379261223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/15116360 and 17\/58953804.\nAnswer: 589538040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7240 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - 8. Find the second derivative of 18*r - 16*r**5 + 38*r**5 - 25*r + l*r wrt r.\nAnswer: 440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + (28 + 10 + -32 - 1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 845, -1096, -6371, -16648, -33595, -58880?\n\"Answer: -278*t**3 + t**2 + 2*t + 1120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -455 + 459. Which is the closest to 0.4? (a) -4\/9 (b) -3 (c) p (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27033 rounded to 3 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*z = 151*z - 20. Suppose -2*r + 4 - 8 = 0. Let l = 5 + r. Solve -z*p - 12 = l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 15*f + 25 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 5282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*w + 3795731 = 3803491 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 27*x - 81. Calculate the least common multiple of j(6) and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f + 1. Let q = 323 + -310. Suppose q*h = -2*h + 15. Give c(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*c + c + 20 = 0, -2*c + 10 = -4*g. Let r be (-2)\/(-4)*(5 - -1). Let y(l) = 4*l**r - 2 - l**3 - 4*l**3 + l**2. Determine y(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27.06 + -22.7. Round g to one decimal place.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1648*b - 35451*b - 359*b - 3118*b - 10447*b.\nAnswer: -47727*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 457 + -163. Let c = x + -304. Does c = -54\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 8 = 0, -13 = -z - b - 3 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 1:08 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 7:58 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11648 = 3*k - 2*u, 2*k - 4*u - 6446 = 1306. Suppose 7*b = 3*b + 43384. Suppose -3*m + b = k. What is m rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1849, -1861, -1871, -1879, -1885, -1889, -1891?\nAnswer: -1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**2 - 29*y - 14*y**2 + 29*y + 3*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 342000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 817 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d - 6. Let l be u(5). Suppose 0 = -4*g + s - 5, -10 = 4*g + s - 3*s. Let m be (1 - -2 - g)*1. Solve 0*b - m*b - 3*w = -l, 4*b = -5*w + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(5) - sqrt(5)*-2)**2 + -2)*-5 + 1 + 2 + sqrt(605).\nAnswer: -210 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2. Suppose 3 = -2*z + c + 6, -21 = -5*z - 2*c. Let o(y) = -z*y + 8*y + y. Calculate g(o(k)).\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 725280918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -90, -2401 in descending order.\nAnswer: 3, -90, -2401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**1*o)\/o**(-2\/3))\/((o\/((o**0\/o)\/o))\/o)**(-13))\/((o\/(o\/(o\/o**(-2\/9))*o*o))\/(o\/o**(-1))*o**(2\/3)*o*o*o**(-5)*o) assuming o is positive.\nAnswer: o**(295\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -16*z**3 + 198*z**2 + 634*z + 40. Calculate v(-3).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 665020 divided by -4.\nAnswer: -166255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3948\/3 + 0\/5?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/23)*v*v*v\/v**(1\/25)*(v\/(v*v**(-2\/5)))\/v*v\/(v*v*v**(-22)))**(1\/2) assuming v is positive.\nAnswer: v**(14057\/1150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*x + 12, -11*x + 7*x - 5*a + 57 = 0. Let i = 33 - 19. Calculate the remainder when i is divided by ((-1)\/(-1) + 2)*x\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 10. Let s be y(7). List the prime factors of 111 - s - 0\/13.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.5107278 kilometers?\nAnswer: 510727800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.183621801 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 10:37 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.32074 to 4 decimal places.\nAnswer: -0.3207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -5*b**3\/3 + b**2 + 2*b - 5. Let g(c) = -6*c**2 + 3*c + 3. Determine 2*g(a) - 3*s(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4584*q**3 - 2860*q**3 + 8093*q + 6127 - 8093*q wrt q.\nAnswer: -22332*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/164 and -53\/287?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Let i(u) = 4*u**2 - 5*u**2 + 2*u**2 - 2*u**p + u. Let k(a) = -5*a**2 + 6*a - 1. What is -6*i(t) + k(t)?\nAnswer: t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2162023 or 2161928?\nAnswer: 2162023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9*y*y**(-2\/19)\/y*y)\/(y**(-2))**(-1\/7) assuming y is positive.\nAnswer: y**(1278\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)*-2 - sqrt(320)) + sqrt(20) - sqrt(80)*-5)\/((sqrt(90) - (sqrt(90) + -5*(-1*sqrt(90) - sqrt(90)) - sqrt(90)))\/(sqrt(54)\/(sqrt(30)\/sqrt(5)))).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -2*w + 5*i, 216 = 4*w + i - 2*i. Calculate the remainder when w is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 + 100*f.\nAnswer: -f*(f - 200)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.14, -74.12, 3 in decreasing order.\nAnswer: 3, 2, -0.14, -74.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3849.\nAnswer: 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301044 is divided by 3961?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5505 and 555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhchchwhhhhchhhhh. What is prob of sequence wchh?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 4*i + 3. Let h be n(4). Suppose -h*l = -l - 208. What is the greatest common divisor of 26 and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, 2523\/14, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 1:45 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1752192*t**5\/7 + 3508128*t**4\/7 - 1744702*t**3\/7 - 3508124*t**2\/7 - 1070*t - 4\/7 = 0.\nAnswer: -2, -1, -1\/936, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 78265064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 960 and 275220.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and 1924.\nAnswer: 38480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**5 + 6*w**4 + 4*w**3 + 2*w**2 - 2*w + 2. Let o(n) = -5*n**5 - 6*n**4 - 3*n**3 - 2*n**2 + 3*n - 3. Let k(s) = -4*o(s) - 6*v(s). Solve k(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28315990.\nAnswer: 2, 5, 23, 123113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -485, -1061, -1867, -2903, -4169, -5665?\nAnswer: -7391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1928 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -248, -476, -730, -1022, -1364, -1768, -2246?\n\"Answer: -2*a**3 - a**2 - 211*a - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = -3*a, 3*z - z + 5*a + 8 = 0. Let f = 19 + z. Calculate the remainder when f is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18248 and 4.\nAnswer: 72992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 2, a: 1}. What is prob of sequence am?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1024\/2585 - 2\/517. What is the third biggest value in 5, -4, a, -43?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2164 take away -0.011?\nAnswer: 2164.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2302547 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 21750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 943 - 808. Suppose -4*l = 3*h - 112 - v, -2*l - h + 125 = 0. What is the remainder when 249 is divided by l?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6926336399 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166027*k - 1166145*k = 12626 for k.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1930006275?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/31 (b) -11\/6 (c) -2\/25 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*k + 280*k - 77*k - 71*k - 72*k.\nAnswer: -45*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 492897 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 12*i**3 + 8*i**2 + 6*i + 12. Let a be k(-3). Let u = 414 + a. What is the greatest common divisor of u and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103080848.\nAnswer: 2, 13, 23, 29, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-2 + 3 - 477. Suppose 0 = 3*p + 4*a - 3018, p + 3*a - 1006 = -a. Let k = p + x. What is k rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3*-3*sqrt(133))\/(sqrt(7) + sqrt(175) + 1*sqrt(175)))**2 + 0.\nAnswer: -72*sqrt(19)\/11 + 3475\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3272285815384 + 3.\nAnswer: 3.3272285815384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 51*j + 1175 - 375 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -z. Which is the closest to 1\/4? (a) 0.3 (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p + 2*i - 16, -28 = -5*p + 4*i. Let r(x) = -2*x**2 + 15*x - 8. Let f be r(p). Differentiate 3*u + f - 4*u - 27*u with respect to u.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30212112 (base 5) to base 9.\nAnswer: 407278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15898 equal to 4.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.23? (a) -5 (b) -0.3 (c) -11236\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 10*k**2 - 12*k - 8. Let j be f(-11). Suppose -2*r = -2, -j*w + 5*r = w - 139. Let z = -24 + w. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -7. Let l be (-1)\/v + (-10)\/12. Let t = -688 - -688.3. Which is the closest to l? (a) 3 (b) 2\/15 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 2:56 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 5*c + 1. Let s be w(6). Suppose a = -s + 20. Let i(t) = t**3 - 6*t**2 + 7*t - 5. What is the remainder when i(6) is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3433, -3430, -3425, -3418, -3409, -3398?\nAnswer: -3385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1840.8679402158 - -1.4878596442. Let d = h + -1842.5558. Let w = d + 0.2. Round w to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -460.2 + 470.2. Which is the fourth biggest value? (a) 3\/2 (b) v (c) -5 (d) -2\/5 (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skk when three letters picked without replacement from {b: 1, k: 3, q: 2, s: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4431.196mg?\nAnswer: 0.004431196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 189 and -2.26142932.\nAnswer: 186.73857068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -34 * -214\nAnswer: 7276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210373 and 639?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 180 + -837. Let l = -657.4 - c. Sort 0.02, l, -0.5, 9 in increasing order.\nAnswer: -0.5, l, 0.02, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -591803 + 116522 = -5*t + u, 3*t - 5*u = 285151. Suppose 9*n - t = -10*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*p**2*q**2 - 3*p**2 + 285*p*q**2 + 49599*p*q - 2*q**2 wrt q?\nAnswer: 36*p**2 + 570*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44246 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 (sqrt(108)\/(sqrt(63)\/sqrt(7)))\/sqrt(4) + (sqrt(135)\/sqrt(5) + 5 + sqrt(9)\/sqrt(3))**2.\nAnswer: 41*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -98, -2 in decreasing order.\nAnswer: 4, -2, -4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -192*l**3 - l**2 - 3 + 404*l**3 + 2*l**4 - 195*l**3 + (l - l**2 - l)*(5*l - 5*l - l**2) - 1 + 2*l**4 + 1 - 3*l + 3*l**4 + 3*l.\nAnswer: 8*l**4 + 17*l**3 - l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-585)\/20 - -4 - (-4 - 276\/(-48) - 2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 16. Let b = -0.034 - -0.324. Let k = 0.39 - b. What is the nearest to k in q, 3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -9) + (-30 - -26) - 4. Solve -5*r - 3*j = -2*j + 16, 4*r - j + 20 = o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/65 - -1621\/260. Let v = q - 317\/52. Factor -4\/13*s**3 + 0 + 6\/13*s**2 - v*s.\nAnswer: -2*s*(s - 1)*(2*s - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzlzhhhhphh. Give prob of sequence zzpl.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -19*p**5\/20 + p**4\/6 + 7*p. Find the third derivative of q(i) wrt i.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 6:45 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9216787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -32.72*0.0308\nAnswer: -1.007776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 989461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34, -57, -80, -103, -126, -149?\n\"Answer: -23*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 46, 108, 224, 412?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2830 from -2.\nAnswer: 2828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3773 a factor of 5960720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 5. Let t be x(-10). Suppose d - 12 = t*d. Let i = d + 4. Let u(f) = -6*f. Determine u(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/3 of a century?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-8 + 46\/6). Let u = 2 - -3. Let q = 17 - 7. Solve u*k = -s*k + q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 157*o = -152*o + 11, -3*o = 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 13. Let i(a) = 8*a**2 + p*a + 603 - 603. What is the units digit of i(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4127, -2774, 4 in decreasing order.\nAnswer: 4127, 4, -2774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -285 (b) -0.1 (c) -1 (d) -2 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**6\/60 + 11*s**5\/15 + 15*s**4\/8 - s**3\/3 + 31*s**2. Find the second derivative of n(o) wrt o.\nAnswer: -12*o + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + -10 - -1*(-9 - 0). Sort i, -3, -23, -1 in increasing order.\nAnswer: -23, i, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**8\/112 - 2*v**7\/35 + v**6\/8 - v**5\/10 + 11*v**2. Factor p(a).\nAnswer: 3*a**2*(a - 2)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5249*z + 7069*z - 3012*z - 868*z.\nAnswer: 8438*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642267?\nAnswer: 3, 71363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/7 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(-10) + (586 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 0\/3) + 0. Let v = i - 4. Let k(h) = -h. Let n(j) = -5*j + 3. Let o(q) = k(q) - n(q). Determine o(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 9*t**7\/280 + t**6\/36 + 5*t**3 - 20. Let s(b) be the third derivative of p(b). Find the third derivative of s(r) wrt r.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3086, 2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 5:12 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*f = 155*f + 213. What is the remainder when f is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 9. Calculate the least common multiple of 4 and o(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 2. Let u be j(2). Let d = 3 + u. Solve w - 5*w = 3*x - 16, -d*w + 12 = -2*x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -848 or -843?\nAnswer: -848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 14*c**2 + 14*c - 13. Let x be m(-15). Is (-32856)\/(-16) + (-1)\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -844, -29, -2\/5?\nAnswer: -844","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*p = 23, 4*z + 10*p - 25 = 9*p. Let r(s) = 13*s - 67. What is the remainder when r(z) is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160) - (sqrt(2160) + -2*sqrt(2160)))\/(-1*sqrt(147)) - 5*(-2 + (sqrt(500) - (sqrt(500) + -4*sqrt(500) - sqrt(500))) + sqrt(500))**2.\nAnswer: -90020 + 8376*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c*c*c*c**(-17))\/c)\/c)\/(c\/(c*(c*c**23)\/c*c*c)))**(-40) assuming c is positive.\nAnswer: c**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9744 and -59.93?\nAnswer: 58.395792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + r + 5)*(3 - 3 + 1) - 4*r - r + r)*(-4126 + 9*r + 4121 + 0*r).\nAnswer: -27*r**2 + 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2 + 140693*k - 140692 = 0.\nAnswer: 1, 140692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181175990?\nAnswer: 2, 5, 449, 40351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b - 530. Calculate w(27).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 64428*g - 64428*g. Let u(r) be the third derivative of 1\/6*r**4 + 0*r + 0*r**3 + 0 + 6*r**2. Determine u(x(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + 0*x + 3*x + (-x - 1 + 1)*(2 + 3 - 3))*(2*x - x - 4 - 67) in the form y + h*x**2 + p*x and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, g: 4}. What is prob of sequence aggg?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express t + 2*t + 10*t**2 - 13*t**2 in the form p + m*t**2 + x*t and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 - -6.05. Let v = 2 - c. What is the closest to 0.2 in -5, 2\/7, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212436 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92420\/3 + -30806. Let d(h) be the first derivative of 8 - 2\/9*h**6 + 0*h + 14\/15*h**5 + 0*h**2 - 8\/9*h**3 - m*h**4. Find g such that d(g) = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3555400243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**2 - 14*o - 68. Determine w(-4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqekekkeqkkkkkee. What is prob of sequence kq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(70)\/(sqrt(80)\/(sqrt(8)*2) + sqrt(10)))**2 + (-4 + 3*(sqrt(56) + sqrt(6776) + -2*sqrt(6776))\/sqrt(8))**2.\nAnswer: 240*sqrt(7) + 56816\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 + -97. Sort -3, 0, 2, i.\nAnswer: -3, 0, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, u: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*q)*(5 - 2 - 2) - 4 + 4 + 3*q - q - 3*q + 2*q + 71*q + 2 + 78*q - 32*q.\nAnswer: 120*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.3 - -15.9. Let z = 14 - v. Let g = -1.615 + z. What is g rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -10)*(126\/(-231) - (1956\/22)\/2)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*b - 232 = 0, 2*w + 2*b + 236 = 5*w. Calculate the greatest common factor of w and 806.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.1 + 3.4. Let q = 0.123 + 1.377. Let p = d - q. What is the nearest to 0 in p, 1, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 30192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 566024?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from aayny.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*k**3 - 8*k**3 + 2*k + 1 - 125*k**4 + 127*k**4 as o + c*k + l*k**3 + w*k**4 + p*k**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-33)\/11*-2*(-2)\/(-6). Suppose -3*c + 6 = 0, 2816 = f*h + 4*c - 13792. Round h to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(16\/5)\/(t*t**34)*((t*(t*t**31)\/t*t)\/t)**(-12\/7) assuming t is positive.\nAnswer: t**(-3033\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 786064380?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-8)\/((-4928)\/(-33))*-64.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-2)\/(-3))\/(92\/46)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1012 and 3212?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, g: 1, h: 3}. What is prob of sequence hgh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 64 - -15a1?\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*r**5 - 366797*r**4 - 3678443*r**3 - 12130447*r**2 - 13163442*r + 127080 = 0. Calculate r.\nAnswer: -4, -3, 2\/209, 1765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 2*v - 8*v**3 - 12152*v**2 + 116 - 114.\nAnswer: -8*v**3 - 12152*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 + 5*g**2 + 21*g + 1. Let x(j) = -j**3 - 3*j**2 - 10*j - 1. Let p = -35 + 31. Let i(o) = p*v(o) - 9*x(o). Does 4 divide i(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29388167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*n - n + 3, -4*n = -3*j + 9. Let b be (-9)\/6*(75\/(-9) + j). Let i be 1\/(-4) - (-132)\/16. Is i >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601580 is divided by 839.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**3\/6 + 611*x**2\/6 - 37078*x\/3 + 24310 = 0.\nAnswer: -715, 2, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -1182.\nAnswer: -1182.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -4, -13\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrd when three letters picked without replacement from pgddprdrrdpmrmdddgdr.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nacaacaaaacn. Give prob of sequence cn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k - 2*g - 202 = 29*k, 0 = -4*k + 5*g + 94 - 200 + 95 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 23 + 8. Let f = 0.7 + 3.3. Which is the nearest to 0? (a) -3\/2 (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/9 - 10\/(-15). Suppose o = -7*f + 130 - 4. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 450 and 583042000.\nAnswer: 5247378000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56399.74l in millilitres?\nAnswer: 56399740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100010101 + 10110011010?\nAnswer: -1000101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + n + 15 = -0*n, 32 = 5*l - 4*n. Suppose -5*k + 2 = -v, 4 + 2 = l*k - 3*v. Solve -5*c + k*c = 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(78)\/sqrt(2))\/sqrt(3))**2 - sqrt(13)) + sqrt(156)\/(sqrt(12) + 2*sqrt(12) + sqrt(12)))*6 + -6*(sqrt(26)\/sqrt(32) - sqrt(39)\/(-1*sqrt(3)))**2.\nAnswer: -351\/8 - 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113274 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-6) + 35\/(-6). Let g(q) = 2 + 0 + 6*q**2 - 3*q**2. Let y(j) = 9*j**2 + 7. Let k(n) = z*y(n) + 21*g(n). Let s(d) = -d**2. What is k(s(a))?\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 775*b**5 - b**3 + 14992*b.\nAnswer: 15500*b**3 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22836 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (42 - 7 - ((6 - -6) + -12)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69609175 to the nearest integer?\nAnswer: 8343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7639883 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*t**5 + 50*t**5 - 18*t**5 + (-1 - 1 + 3)*(3*t**5 + t**4 - t**4) + (2*t**5 + 0*t**5 - 4*t**5)*(3 - 7 + 3).\nAnswer: 25*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/60 + 4\/(-6) and 69\/(-9) - (-2)\/8?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 9950397*k. Let u(m) = -9*m**2. Calculate x(u(s)).\nAnswer: -89553573*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.52 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o**3 + 17. What is the remainder when 103 is divided by u(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**4\/12 + r**3\/6 + 2*r. Let s be p(-2). Suppose 3*u = s*u + 8. Solve 5*k = k + u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**4 + 22*k**3\/5 - 332*k**2\/5 + 278*k\/5 - 12 = 0.\nAnswer: -5, 2\/5, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 16 + 36 = 0. Let g = -22 - o. Let p(d) = 2*d + 8*d - 13*d + g*d. Let b(k) = 17*k**2. Give p(b(n)).\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/146817 - 5040385\/24371622. What is the common denominator of z and 95\/1826?\nAnswer: 5478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 134\/(13 + (12 - 18) - (-83)\/(-12))?\nAnswer: 11256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugl when three letters picked without replacement from uunnlumunmgj?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247120\/24 + (-8 - 217\/(-21))?\nAnswer: 3, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) 1\/10 (c) 22\/5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*f = -138*f - 1069 + 115 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2332 + 2344. Suppose 2*r - 12 = -r. Suppose -5 = -r*s + 43. What is the least common multiple of s and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*z - 4, -2*v + 13 = -3*z - 7*v. Suppose -4*g + 3*g = 0. Suppose 2*o + 4 + g = 0. Is o < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 12*b + 4. Let l be i(11). Let f be 100\/(-105) - 2\/l. What is the second smallest value in f, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 2. Suppose j - 1 = 5. What is the lowest common multiple of j and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000129222685 rounded to seven dps?\nAnswer: 0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2626804908 divided by -6\nAnswer: 437800818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1071853?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 bigger than 5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 2*a + 3*a**2 - 2*a**2 + 4*a.\nAnswer: (a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(1 + 36\/(-40)). Let n be (-1303)\/(-9) + u\/90. Suppose 2*w = 3*w - n. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -118605, -237494, -356383, -475272, -594161, -713050?\n\"Answer: -118889*p + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -971*h**3 + 971*h**3 + 6 - 10*h**4 wrt h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-680)\/204*(-12)\/(-10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*a - 8 = 38*a. Let k be 2\/a + 2 + -1. Let x = -2.2 + 2. What is the closest to k in 3, x, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = x - 1115, -s + 1606 - 497 = -x. What are the prime factors of s?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4*(-2)\/8)\/((-2)\/2). Which is the third smallest value? (a) w (b) -0.1 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/18912 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(300)*2) + -2.\nAnswer: -2 + sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2077.880005 rounded to the nearest 10?\nAnswer: -2080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + -0.06. Which is the closest to m? (a) -0.1 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-369)\/27 - (2 + -15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 515\/1183166 - -3\/13294. Let a = -34825\/39338 + u. Let x = a + 18\/13. What is the third smallest value in -1\/5, x, -2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*g**2 + 0*g**2 - 17*g**2)*((3*g - 3*g + 2*g)*(2 - 1 + 1) - 3 - g + 3) to the form z*g + f*g**2 + y*g**3 + n and give y.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161 or -725458?\nAnswer: -725458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = k - 17, 18 = -5*x + 23. Calculate the remainder when 4\/6 - 590\/(-6) is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22104491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.73 - 0.7289656. Round c to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*f**3 - 2206*f**2 - 446*f + 721170451 with respect to f.\nAnswer: 90*f**2 - 4412*f - 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 2, s: 3, q: 1, m: 3, p: 4}. Give prob of picking 1 m and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 18 = -2*w, 4*w = -4*n + 6*n - 4. Let j be (-29565)\/(-6228) + -4 + 3\/n. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t - 4. Suppose -t*o - 3*n + 28 = 4, -51 = -5*o - 3*n. Solve 4*z = z + o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -92.882 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -3978.424\nAnswer: -19892.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 72235757 (base 8) to base 12\nAnswer: 5151753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.17. Let b = -0.1534 + -0.0081. Let p = b - 0.0385. Does p = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from soyobhsoyo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 246607489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/77 + -107\/462. Let a = -2647\/6 - -442. Put a, s, -1 in decreasing order.\nAnswer: a, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12)\/(2\/(3*2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212351 (base 8) in base 6?\nAnswer: 1304105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 21*q - 215. Determine z(0).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19184.611 - -19187. Round g to two decimal places.\nAnswer: 2.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 4*y**2 - 6*y. Let x be j(5). Let l(k) = -4*k**3 - k + 5*k**3 + 5*k**2 - 400 + 401. Calculate l(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 399 = 4*z - 0*c - 3*c, -3*c + 417 = 4*z. Suppose -z = -112*f + 109*f. Calculate the highest common divisor of f and 561.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-13 + 11)\/(2\/2) + 53?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/6 + (-2)\/(120\/975)*24\/30.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5225235, -10450496, -15675777, -20901078, -26126399, -31351740, -36577101?\nAnswer: -41802482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/12)\/7)\/(14\/36).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49188 divided by -1?\nAnswer: 49188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2587872 to the nearest ten thousand.\nAnswer: 2590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 17*v**2 + 3. Let c(u) = 3*u. Calculate c(x(g)).\nAnswer: 51*g**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n - 2. Let m be (-55)\/2*(n - 11). Suppose -r = -6*r + m. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 - 129*o + 415. Give y(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/7)*v)\/v*v**(-2\/9) assuming v is positive.\nAnswer: v**(-5\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15224 divided by -1?\nAnswer: -15224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) -1.11 (c) 880 (d) -2\/3 (e) 3\/8 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 67.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*p + 1341 + 3131 + 2596 for p.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (191 - 193) + (1 - (-1 + -3)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 0)\/(25 - 27). Suppose 4*t + 2*i = 1 + 5, j = 5*t - 4*i + 12. Solve d = 4*r - 2, 4*r + 6 = -3*d - t*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-r + r - r)*(-32*r + 11 - 11 - 16*r + 0*r + 0*r + 2*r + (7 - 2 - 2)*(r + 0*r + r)) in the form p + l*r**2 + h*r and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 82377823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 288*j - 2. Let i(s) = -68*s**2 - 3. Calculate i(r(l)).\nAnswer: -5640192*l**2 + 78336*l - 275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 64052 - 187. Let i = -255561\/20 - a. What is the common denominator of 63\/50 and i?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*j**3 + (1 - 1 + j)*(-j**2 - 1 + 1) - 4*j**3 - j**3 + 4*j**3)*(192*j + 60*j**2 - 192*j).\nAnswer: 60*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*(36 + -40)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from wtwzttzct.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1)*(4 - 0). Suppose f*q + 8 = -0, -188 = -s - q. List the prime factors of s.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 6*q + 2. Let t(o) = 35*o**2 - 3*o - 2. Let y be t(-1). Suppose -66 = -17*z + y. Let j be p(z). Let w(s) = -s**3 + 3*s - 1. Give w(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -934 and -941 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 0.3 (c) 3.3 (d) 1813 (e) 2 (f) -0.1 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -9 - (-3 + 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/9223 and 3\/10.\nAnswer: 92230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**3 + 109*z**3 - 6*z**3.\nAnswer: 118*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -8*b + 125. Suppose -2*v - s + b = -37, 0 = 4*v - 4*s - 128. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10223011211 (base 4) to base 7\nAnswer: -13261415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1101010 (base 2) to base 13\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 18*f**2 + 13*f**2 + 8.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 16 = 16*z. Let d(i) = 5*i**2 + 2*i + 11. Is 21 a factor of d(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**6\/180 - 4*n**3\/3 - 4*n. Let q(k) be the second derivative of r(k). Let t(s) = s**2. What is q(t(g))?\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -570, 0, 2, -13 in descending order.\nAnswer: 2, 0, -13, -570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hphh when four letters picked without replacement from pphhhhhh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/(-20)*(-6)\/(-2) and -6 - (4\/(-10))\/((-1)\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*k**4 + 235*k**3 - 70*k**2.\nAnswer: 5*k**2*(k + 7)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - m + 3*m + 56 = 0, -k - 3*m = -28. What is the greatest common divisor of 217 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 822. Determine p(-6).\nAnswer: -834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 98, 96, 94, 92, 90, 88?\n\"Answer: -2*f + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6556 + 6557. Suppose 57 - 3 = -3*b. What is the nearest to d in b, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 4*k - 1. Let t = -1 + 4. What is the remainder when g(t) is divided by 1\/1*(-5)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 781 and 7.\nAnswer: 5467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/43, 14102, 1.3 in decreasing order.\nAnswer: 14102, 1.3, 6\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 42*b - 3515 = -33*b, -5*r + 313*b - 314*b - 17 + 74 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 9:37 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 47. Let i = t + 43. Let x(y) = -77*y**3 + 72. Let j(k) = -26*k**3 + 24. Let w(c) = i*x(c) + 8*j(c). Differentiate w(h) wrt h.\nAnswer: 69*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 - 32*k - 461. Determine n(-14).\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203022140 (base 7) to base 14.\nAnswer: -1816590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54406.343 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -912, -1834, -2770, -3726, -4708?\n\"Answer: -b**3 - b**2 - 912*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, -180788 in descending order.\nAnswer: 12, -2, -180788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 less than or equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 707058 or 707062?\nAnswer: 707062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -42*a + 0 + 0*a**2 + 17\/6*a**3. Calculate j(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 66.8. Let y be 2\/2 + 4\/(-6). What is the biggest value in w, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*((-7)\/(-5) + -1) - 3738\/890. What is the nearest to 0 in -2\/3, -0.04, 5, y?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4a02 + 1cbe?\nAnswer: -2d44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/a**(2\/7)*a*(a\/a**3)\/a*a**13*a*(a\/(a*a*(a**(-2\/15)\/a*a)\/a))\/a assuming a is positive.\nAnswer: a**(1349\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(14\/9)\/(p**(-7)*p)*(((p\/(p\/p**20))\/p)\/p)\/p*p**(-5\/7)\/p assuming p is positive.\nAnswer: p**(1439\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 2*f + f)*(-31*f + 12*f + 21*f).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79.0000005868 + -79. Round i to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - -40. What is the greatest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 82, 87, 86, 73, 42, -13?\n\"Answer: -l**3 + 3*l**2 + 3*l + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11272 bigger than 101455\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 3\/7, 24\/575, -0.06?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 4*o + 5. Let r be (-342)\/66 + 2\/11. Let t be z(r). Find the third derivative of h**2 + 2*h**2 - 4*h**2 + t*h**2 - 7*h**5 wrt h.\nAnswer: -420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 32 - 0?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-40)\/120*1*-1*-1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 12*z + 303. Let g = z - 91. Solve -6*b - g = -4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 26*s + 82. Let i be w(-22). Let h = i - 168. Solve 5*k + 3 = -2*c, 2 = 4*k - h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28.2176731 or -1?\nAnswer: -28.2176731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 2*a + 2*a)*(-1 + 4 + 4 + 3 - 5 + 3 + (0 + 4 - 3)*(-4 + 4 - 1) + 2 - 2 - 2 - 1 + 0 + 0).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(24)*1)\/sqrt(12) - (sqrt(2) + (-1 + sqrt(2))*2)**2).\nAnswer: -21 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*s + j, -15 = 3*j + 2*j. Let z(i) = 0 + 1 + s*i - 3*i. What is the remainder when z(-7) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8851 divided by -53\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 9:12 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -329, -659, -989, -1319, -1649, -1979?\n\"Answer: -330*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1013.959 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h*l**3 + 2*h*l**2 + 2*h - 49*l**6 + 41*l**2 wrt l.\nAnswer: 6*h - 5880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 957 at most as big as 958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -1\/2, -334082, 2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*k + 65*k - 69*k**3 - 19*k.\nAnswer: -69*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135071?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9392 + 9385. Let d(k) = -1 - 6 + 2 - 3*k. Let u(l) = l + 14. Let g(p) = 15. Let a(i) = 5*g(i) - 6*u(i). Determine h*d(z) + 4*a(z).\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -10*g - 5. Is q(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-26\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f**2 - 7*f - 3. Let k(v) = 3*v**2 - 3*v - 1. Let n(x) = 3*k(x) - m(x). What is n(7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1966 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 + -11. What is h rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*o - 80 + 4369*o**3 - 87 + 167 - 4368*o**3.\nAnswer: o**3 + 65*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/12)\/((-10)\/(-15)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427*u = 428*u - 799. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3 + (6 - 76)\/5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + n + 18 = 8, 0 = -3*s + n + 15. Suppose 3*o = -t - 4*t + 29, o = -t + s. What is the second derivative of -t*z - 4*z**2 + 2*z**2 - 2*z**2 wrt z?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*s**3*v**2 + 2*s**3*v + 15*s**2*v**2 - s**2*v + 3*s**2 + s*v**2 - 384*s*v + 243*v**2 wrt v.\nAnswer: -12*s**3 + 30*s**2 + 2*s + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21091\/10 + 2112. What is the common denominator of -35\/16 and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2059 (b) -1.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*v + 7 + 17 = 0, -v + 16 = 5*n. What is the common denominator of (67\/(-10))\/(26\/5 - n) and -101\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -6*y + 39, 4*y - 66 = -4*z - 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -314 + -100?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 6*n. Let b be w(6). Let v be (-2 - -2)\/(b - -1). Suppose v*c = c - 18. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 647, -7, -171, -1, 6 in increasing order.\nAnswer: -171, -7, -1, 6, 647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*22809\nAnswer: 4561.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 703188 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g = 4*g - 105 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*r - 24, -2*f + 0*f + 2*r = 0. Suppose 0 = 5*c - 3*t - 5, 0 = 3*c - 5*c - 3*t + 2. Put f, 3, c in increasing order.\nAnswer: c, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1658*s**2 + 16145*s - 16145*s.\nAnswer: 1658*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7283, 7390, 7497, 7604, 7711?\nAnswer: 7818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 u, and 1 l when four letters picked without replacement from lplppnzpzlpupplz.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/495 - 952\/9405. Let j = -1.29934 + 0.99934. Which is the nearest to 0? (a) h (b) 3 (c) j (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11431.1 rounded to the nearest 100?\nAnswer: -11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11205394 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*d - 14*d**3 + 60*d)*(3 - 2 + 1 + (1 - 6 + 1)*(3 - 3 - 1) + 3 + 0 - 2).\nAnswer: -98*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7\/9, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than -26807222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71911 is divided by 80.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3423 + 1a6?\nAnswer: -3228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.016 - 0.244. Let o = x + -0.14. Which is the third smallest value? (a) o (b) 4 (c) 0.2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -435 + 543. Calculate the greatest common factor of 312 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 + 57. Let h be f\/12 + 266\/(-8). Is ((-100034)\/h)\/((-2)\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159486 is divided by 116.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.131 - 4.331. What is the nearest to -1 in -5, 0.9, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-2)**2*6 + sqrt(171) + (sqrt(171) + 2)*-4 + sqrt(171))*-6.\nAnswer: -24576 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -n + 432. Suppose -224 = -2*r + 6*r. Let c = r + n. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + -100106?\nAnswer: -100061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -10. Solve q - j = 3*h, -2*q = q - 3*h - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 11 - 27 + 23 = 11*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, c: 5}. Give prob of sequence ycyy.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n = 5*n. Let a be (2 - 1) + (-92 - n) + 3. Is -88 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 2*l + 3. Let f be m(0). Let n(b) = 3*b**2 + 2*b - 10. Let w be n(f). Calculate the greatest common divisor of w and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37513574*a*c**3 + 63*c**3 + 318*c**2 - 2*c + 2 with respect to a.\nAnswer: 37513574*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 + 2*t**2 - t + 6. Let q be u(0). Let z be q\/(-11 + 9 + -1). Let i = -6\/815 - 21124\/8965. Which is smaller: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b - 48*b - 69 = 0. What is the closest to 3\/5 in b, 3, 3\/31?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7059, 7060, 7061, 7062, 7063?\n\"Answer: i + 7058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 224\/(-70)*145\/406\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 70)\/((-6)\/2 + 2). Let j = 67 - i. Let t = 0.1 - 0.2. Which is the nearest to 3? (a) t (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-162)\/12)*(-12)\/8?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*m = -16, c + 3*m - 16 = -24 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from jjlllddjjdllld.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 35\/4*(-8720)\/(-3815)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by 8327.\nAnswer: -45\/8327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62121018 divided by -20707006.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*j = 24*j + 90988. What are the prime factors of j?\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(2\/(-4) - (1 - 0)). What is the third derivative of 37*u**c - 54*u**3 + 97*u**3 + 21*u**2 - 56*u**3 wrt u?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 3. What are the prime factors of (-84)\/16*v\/(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13260493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -21851.1206 - -12.6759?\nAnswer: -21838.4447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1 + (-2 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90985764 at most as big as 90985764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -48, -155, -360, -693, -1184?\nAnswer: -1863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -245.0044 - -246.2. Let b = -1.101 + a. What is b rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 6:32 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 16*t. Sort -1\/4, t, 1\/3.\nAnswer: -1\/4, t, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -128*o - 217104 + 717584. List the prime factors of o.\nAnswer: 2, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*x = -2*v + 7, -4*v = -x + 13. Let u be (-36)\/x - 5\/(-1). Find the first derivative of -u - 1 + 7 + 3*b**2 wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmy when three letters picked without replacement from mmymyjmjmyjy.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -12. Let f(c) = 3*c. Let h(z) = 10*z - 1. What is k*f(n) - 2*h(n)?\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40115 + 30650. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**2*x**2 + 108*u**2 + 47*u*x**3 + 5*u*x + 5*x**3 wrt x.\nAnswer: 6*u**2 + 282*u*x + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:16 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-45)\/11)*(-2 - -4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6507 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5722 = -35*d + 36*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 399479644?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -231 + 242 + o**2 - o**2 + 9*o - o**2. What is b(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2100770 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (-4 - -4)) + (33 - -1). What is the third derivative of -7*a - 2*a + 37*a**2 + n*a**4 + 9*a wrt a?\nAnswer: 888*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 18, 8, -3277, 1, 4, -1 in decreasing order.\nAnswer: 18, 8, 4, 1, -1, -2, -3277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3540, -28215, -95152, -225483, -440340, -760855, -1208160?\n\"Answer: -3522*u**3 + u**2 - 24*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*t**3 - 41*t + 15*t + 24*t.\nAnswer: 33*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 217.2602 millilitres in litres?\nAnswer: 0.2172602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 - 135. Let a be -16 + -7 - (-4)\/8*x. Is a < -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05048 rounded to 3 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -39.1. Round y to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 5*m**2 + 2. Let w be v(5). Let z(x) = x + 3 - 1 - 6*x**2 - x**2 + 2*x**w. Let k(t) = 4*t**2 - t - 2. Let g(s) = 4*k(s) + 3*z(s). Factor g(u).\nAnswer: (u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1151 - -1121. Suppose 112 = -6*j + 2*j. Let i = j - a. Calculate the remainder when i is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -4*n + 57*q - 64*q, -39 = 3*n + 4*q. Sort -17, n, 15, -4 in descending order.\nAnswer: 15, -4, n, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*o - 1 + o - 4*o + 2*o + 5*o - 3*o + 0*o + (-3*o + 3*o + 2*o)*(-3 - 1 + 2) + 2*o + 1 + 2*o - 6*o.\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((4 - 4)\/(5 + -3))\/2. Suppose 6*k - 2*k - 64 = o. Differentiate c - 12 + k - 6 with respect to c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 0.4, 0, 3, 18, -317, -1\/4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21543*c**3 - 22480.\nAnswer: 64629*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/7 and -7 - (8 + (-3949)\/264).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**4*v + 24*m**3*v + 3*m*v + 4943*v with respect to m.\nAnswer: 8*m**3*v + 72*m**2*v + 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 0*t + 0*t + t. Let c(l) be the third derivative of -l**7\/2520 - 7*l**5\/30 + 45*l**2. Let a(d) be the third derivative of c(d). Calculate a(x(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 87873481 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = n, 2 = -3*c - 3*n - 2*n. Solve -4*p + 6 = -c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210453 divided by 6?\nAnswer: -70151\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11620773221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19917, 39846, 59775, 79704, 99633, 119562?\nAnswer: 139491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4 (b) 63\/4 (c) -2\/11 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*n**2 + 478*n**2 - 276*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122002210 (base 3) to base 10.\nAnswer: 12468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93685 and 1202671819?\nAnswer: 18737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u - 19*u + 0*u + (3*u + 3*u - 4*u)*(-4 + 3 + 2)*(-1 + 3 - 1) + (-u - 4*u - u)*(5 - 3 - 3) in the form r*u + m and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**4\/12 - 7*g**2 - 6. Let u(w) = -138*w**2. What is u(k(o))?\nAnswer: -552*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 338*u**2 + 52*u + 2 = 0. What is u?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 4:39 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 856*s + 4301. What is the remainder when 404 is divided by g(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*c**2 + 0*c + 7*c - 91*c**3 + 51*c**3 + 43*c**3 as q*c**3 + f*c**2 + r*c + v and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12479 is divided by 416?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14*((-3885)\/10)\/(-7).\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78285 and 2149.\nAnswer: 547995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.75 in -0.4, -0.3, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -0.2. Let t = n - 0.2. Let q(f) = f**2 - 26*f + 103. Let a be q(5). What is the third biggest value in t, a, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, v: 3, m: 1, j: 2}. What is prob of sequence tvv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 208380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w. Let f(k) = k - 6. Let h(c) = 1 + 3 + 2 - 1 - c. Let z(x) = 5*f(x) + 6*h(x). Calculate z(q(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7816770 divided by 229905\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.89182757 + -0.10816043. Let t = -5.4 - -26.4. Let l = h + t. Round l to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8106540 by -1621308.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -679, -1420, -2367?\nAnswer: -3520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*d = -11*d - 266*d - 11100 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0.82. Let i = a + 0.08. Which is smaller: i or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 0 + 0)*(3 + 5 + 0) + 0*u - 4*u - 5*u to h*u + c and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 105638687 + -649?\nAnswer: 105638038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1510756 or -3021513\/2?\nAnswer: -1510756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufudffuufdffuudfd. Give prob of picking 2 d and 1 u.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84*c**2*o*z - 3*c**2*o - 875*c**2 + 2*c*o*z + 8*c*o + 97*c*z with respect to z.\nAnswer: -84*c**2*o + 2*c*o + 97*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543280.4g to nanograms.\nAnswer: 543280400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 4. Let v = -14 - -14.2. Which is the closest to v? (a) g (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86\/51 + -439\/714. Let u be (4\/(-104))\/(-984 + 2). Let m = u + 676587\/280852. Find the common denominator of m and j.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991940847.\nAnswer: 3, 19, 17402471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -42466 (base 8) in base 3?\nAnswer: -220022020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 722*t**3 - 2*t**2 + 480*t - 958. What is the units digit of h(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 = -4*m. Suppose -m*f + 13 = 1. Let y = -3 + f. Let i(v) = v**2 - 4*v + 3. What is i(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x - 3. Let p(b) = -6*b - 1675. Determine 2*l(n) - p(n).\nAnswer: 2*n + 1669","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10022.\nAnswer: 2, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 + -130. Suppose 3*k + 3*y = n, k + 10 = -10*y + 7*y. Let z = -8\/3 - -23\/12. What is the closest to 1 in k, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 156 - 1. Suppose 5*k - 251 = -m. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880773407.\nAnswer: 197, 4470931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*5\/(-100))\/(48\/(-40)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**2 - 6975*s - 20952 = 0.\nAnswer: -3, 2328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 61129 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*4*(-28)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1511983 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7 = -1. Suppose 5*i - 4*i = -h + 17, o*i + 60 = 4*h. What is the remainder when h is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -615 times 445?\nAnswer: -273675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 86 - 257 = 13*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-69822)*(114\/(-54) + 2). Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 24.3?\nAnswer: 35.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**4\/6 - 11*p**2 - 3*p. Let c(k) = -60*k. Give c(n(o)).\nAnswer: -240*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 s when four letters picked without replacement from {s: 7, x: 12}?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-18))\/(4\/18). Solve -19 = w - 5*j, -f*j + 1 = -3*w - 3*j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*p - 6*p + 10*p to o*p + j and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -1795*u**2 + 389276*u\/3 - 8672\/3 = 0.\nAnswer: 8\/359, 1084\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -2. Let d = r + 12. Calculate the highest common factor of 8 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2552059264 to the power of 1\/3, to the nearest integer?\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from qqddqqqdqdqdqq.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*q - 22, q + 0*q + 1 = z. Let r = q - -5. What is the units digit of 0 + r\/(1\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85600.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8, 15, 0, -49, -144?\n\"Answer: -2*i**3 + i**2 + 18*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -909*h - 48453 = -912*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -729840 - 4075.13278.\nAnswer: -733915.13278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.194 - -23.\nAnswer: 23.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r**3 - 1054*r**2 - 2370*r + 2700 = 0.\nAnswer: -3, 5\/6, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/25)\/(4*36\/160)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ffxxfxfxffxffxfxxfx?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 16 = -7. Calculate the remainder when 11 is divided by 1 - (-2 - l)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7224925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 9, -4, -29, 65.\nAnswer: -29, -6, -4, 9, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 815467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-94)*(-850)\/195. Let k = m - -11\/39. Let d = k - -55\/188. Which is smaller: d or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -241 divided by 6898.\nAnswer: -241\/6898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62? (a) 0.1 (b) -3\/2 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**6\/100 + 11*l**5\/300 - 19*l**4\/120 + l**3\/5 - 2*l**2 + 10. Suppose m(k) = 0. Calculate k.\nAnswer: -3, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71 - 2*d**4 + d**2 - 26 - 16 - 18 - 12 - 68*d to the form r*d**2 + v + h*d + m*d**3 + f*d**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10813 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499624 is divided by 225?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/(-30))\/(374\/(-55)). Suppose 2*i = 5*i + 3. Which is bigger: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + k**2 + 10*k - 7. Let n be g(6). Suppose 360 = 5*i - n. Let z = -53 + i. What is the highest common divisor of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 5*q + 5*l + 1, 0 = 5*q + 2*l - 18 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2)*(2*j - j - 2*j) + j - 5*j + 2*j + 1512*j - 655*j + 1599*j + 3188*j as t*j + d and give t.\nAnswer: 5640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 323242406\/44620 - (18 - 19). Let t = n - 87\/2231. Let v = -7256 + t. Find the common denominator of -41\/4 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4092)\/76384*(-16)\/(-6)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -b - 5*j, 2*b + 4 = -0*b - 5*j. Suppose 0 = -8*m + 4*m + b. What is the second derivative of -2*x**m + 3*x**2 + x - 6*x + 3*x wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/2525 - 12623\/5050. Let o(n) = 4*n - 1. Let z be o(-5). Let g be 12\/(-7) + 6\/z. What is the nearest to g in p, -4, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6)\/(s**(5\/3)*s)*(s\/(s**(2\/11)*s))**(18\/5))**(-30))**(-11) assuming s is positive.\nAnswer: s**(-3076)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2833000921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = 4*m. Let q be (-12)\/m + (-9 - -6). Let d(j) = j**3 + 7*j**2 + j. Let v be d(-5). What is the greatest common factor of v and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1066221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + (-4 - (-3 - 10) - 14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/(-171))\/(2\/(-18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 60*t - 67*t. Solve 2*j + 8 = -2*x, 0 = 2*x + 3*j - 6*j - t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*t**2 + 1 - 15*t**4 - 50*t**2 + (-3*t - 22*t + 4*t)*(-4*t**3 + 0*t**3 + 3*t**3).\nAnswer: 6*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -46.3 * 0.4\nAnswer: -18.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - q = -2*q + 5, 3*z - 3 = 3*q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 79 + 3 + 3 - 96*w - 85 + 5.\nAnswer: -96*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18763, -18186, -17613, -17044?\n\"Answer: -2*k**2 + 583*k - 19344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5442 or 5459?\nAnswer: 5459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -363 + 406. Calculate the remainder when 163 is divided by i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7*u - 13*j - 17248, -3*u - 2*j + 10388 = 0. Is u a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2 - 10 - 4*q - 13 + 2*q. Let x be l(-8). Let v be x\/((-1)\/1 - (1 - 1)). Solve -17 = 4*i - v*d, 0 = i - 3*d + 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -185*j + 2. Let i(a) = -a. Determine g(s) - 4*i(s).\nAnswer: -181*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-380)\/(-450) + (48\/27)\/(-4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 17 = -10. Let i be (-15)\/75 - (0 - 38\/(-10)). Let b = w + i. Solve n - 12 = b*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8997 or 9248?\nAnswer: 8997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 4*b**2 + 4*b + 2. Let c be z(-2). Let j be (-8 - -10)*23\/c. Calculate the highest common factor of j and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + sqrt(343) - sqrt(343)) + -2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxxxxxxw. What is prob of picking 2 x?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -24. Let g = 4888 + -4840. What is the least common multiple of k and g?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -829.7 times 0.338\nAnswer: -280.4386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*q - 25 = 4*q, -3*q = 15. Which is the third smallest value? (a) -0.06 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3375249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*g + 5*g. Suppose -3*t - 2*v = -2097, 2*t - v + 4*v - 1403 = g. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 4. Let p be i(0). Let h(b) = b**3 - 5*b**2 + 4*b + 3. Let a be h(p). What is the smallest common multiple of 2*(a + 1 + -2) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -49*h**5\/2 + 28*h**4 + 1307*h**3\/2 + 567*h**2 - 1296*h + 432 = 0?\nAnswer: -3, 4\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Let j(l) = l - 276 + 832 - 286 - 279 - 8*l. Determine 5*a(n) - j(n).\nAnswer: 2*n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 4:22 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*t - 20, 3*d - 15 = 4*t - 3*t. Let u = 64 - 54. What is the highest common divisor of d and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -972 - -972.2. Sort s, -37, 2\/3, -1\/11 in decreasing order.\nAnswer: 2\/3, s, -1\/11, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 1 + -4 - 1 - -10\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10341 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/89187371 or 0?\nAnswer: -2\/89187371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3105592 times -124\nAnswer: 385093408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 2:14 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -22*j**3 - j**2 + j. What is the units digit of l(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**6\/40 + n**5\/8 + 39*n**4\/16 + 9*n**3\/2 - n**2 + 112. Suppose b(m) = 0. What is m?\nAnswer: -3, -1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - (-56)\/21)\/(3\/(-522)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + f**2 + f**2 + f**2 + 2*f**2 + f**2 + (16 + 6 - 13)*(-3*f**2 + 2*f**2 + 3*f**2) - 268*f + 268*f + 52*f**2 to c*f**2 + d + r*f and give c.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36881 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a factor of 480319620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (31\/93)\/(-1 - (-446564)\/446562) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/90 - 118\/20*1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 40. Suppose -4*j + 4*l = -y*l - 16, -2*j + 4*l + 12 = 0. Let i = 4 - 2. Solve i = -3*q + 5*t - 13, q = -j*t - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 12921940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5842*l + 45542. Calculate z(8).\nAnswer: -1194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4261480533.\nAnswer: 3, 97, 4881421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/180)\/((-954)\/45 - 12). Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6132692 divided by 2\nAnswer: 3066346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**18)\/(p\/(p**30*p)))\/(p**(-2\/13)*p*p**(-30)) assuming p is positive.\nAnswer: p**(1016\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8718147 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-415800085)\/35 + 2 + (-18)\/(-42). What is f rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -6\/11, -6, 92021, 7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -42, 437, 1 in increasing order.\nAnswer: -42, -1, 1, 6, 437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - q**4 + 4*q**4 - 2*q**4 - 3 - 6*q**2 as m*q**4 + c*q**2 + t*q + x + z*q**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 15*z - 288 = 12*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12960, 1\/4, -0.4, 1\/3, 2, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 1.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 1379074300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12013327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 + 225\/2. Find the common denominator of z and (5 - 4) + (-55)\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1650 is divided by 1552.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, v: 9, i: 1}. What is prob of picking 1 i and 3 s?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-24))\/a)**(1\/2) assuming a is positive.\nAnswer: a**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 596 and 7822202.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6*6 + -1. Solve -2*i + 12 = u*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 342 = 6*x. Suppose -3*w - 36 - 8 = -s, 0 = 3*s - 3*w - x. Suppose -s = 2*o + 3*o. Which is greater: -6 or o?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64221545 - 65738455 = 288*i. Round i to the nearest ten thousand.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1389.661031263 - 0.2.\nAnswer: 1389.461031263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18057935767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3 - 4 + 6*m - 32*m + 27*m. Let c(h) = 14*h - 7. Let v = 58 + -64. Give v*l(f) + c(f).\nAnswer: 8*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, u: 2, i: 3}. Give prob of picking 4 c.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7 = -a + y, -3*y = -5*a + 13. Suppose -a*l = -l + 2, 2*i = 2*l + 118. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s - 2*s + 5*s + (1 - 4 + 1)*(11*s - 3*s + 2*s).\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 32285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 10 + 3)*(2 + 1 - 2)*(43*y - 60*y + 61*y)*((-4 + 1 + 1)*(-1 - 3 + 2) + 2 + 0 + 1).\nAnswer: 3080*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 + -87. Let t(g) = 151*g**2 + 8*g - 7. What are the prime factors of t(j)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 - 1c?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068795 is divided by 9362.\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 6:14 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 8 + -2 - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -34 (b) 0 (c) 1\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 = -73*i + 245*i + 162*i + 9529 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/7 (b) 0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -105*u - 91 - 42 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, a: 1, i: 3, c: 2}. Give prob of picking 1 c and 1 i.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.22? (a) 0.5 (b) 4\/3 (c) 1\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(-1*(-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 427 + -410. What is the highest common factor of n and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 7*h + 35 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*j + 353 - 353)*(j**2 + 1 - 1) - 4*j**3 - j**3 + 2*j**3 + j**3 + j**3 + 0*j**3 as n*j**3 + v*j + s + k*j**2 and give n.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*o - o**2 - 6*o + 0*o**2 as s*o + y + f*o**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/19 (b) -1573 (c) 0.2 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3205 + 3221. Let j(x) = 2*x. Let f be j(5). Solve 4*q = -5*h + q + c, q = -4*h + f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/(100\/(-20))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 1909\/115)\/((-11)\/(-15)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, 9, 0, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -3\/2, -1.04 in ascending order.\nAnswer: -40, -3\/2, -1.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65195250767235 + 3*i + 65195250767235.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812 + 280 = 276*w - 185*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 558369.9 litres in millilitres?\nAnswer: 558369900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twwu when four letters picked without replacement from wpipwitwcipiiu.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -16*m + 41. Determine h(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 373*p**2 + 8*p + 5. Is q(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1299*n + 2884 - 2994*n - 473*n + 1184*n wrt n?\nAnswer: -3582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 11. Let y = f + -16. Let c(w) = -8*w**2 - 7. Let l(v) = 7*v**2 + 6. Let p(n) = y*l(n) - 5*c(n). What is the derivative of p(h) wrt h?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b = -k + 25207 - 25226, 5*b = 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-1 - -3) - (18 + 6 + (41 - 18))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 7:02 AM?\nAnswer: 131","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -6, 176, 3 in descending order.\nAnswer: 176, 3, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.203213204 + -74.\nAnswer: -80.203213204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39603\/2 + -20809. Let b = 8129\/8 + y. Let f = -52\/3 - -21\/2. Find the common denominator of f and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-4)*r**4*(r*r\/r**5)\/((r\/r**7)\/r*r))**(-16\/9))**(3\/14) assuming r is positive.\nAnswer: r**(-104\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(18) + -2)*1)**2 - (sqrt(200) + sqrt(200) + -5 + sqrt(200) + -1 + sqrt(200) + (-4*sqrt(200)*2 - sqrt(200)))**2.\nAnswer: -4486 - 900*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/8)\/g**(-5\/2))\/(g**2*(g*g\/(g\/((g\/((g\/(g*g\/g**(2\/11)*g))\/g))\/g)))\/g) assuming g is positive.\nAnswer: g**(-237\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/3, -0.2, -0.11, 5, -301749?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -17*v - 5. Let l(o) = -o**2 - 7*o - 12. Let n be l(-5). Is b(n) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 120 = -13. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 8*g**2 - g - 5. Let b be t(-8). What is the greatest common divisor of b and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 11*q**2 - 20*q - 17. Determine y(-10).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-60)\/(-45))\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0887 from -0.19.\nAnswer: -0.1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -0.1, 4, -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.531142732793 + 16.\nAnswer: 22.531142732793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*c - 416*c + q - 86 = 0, -4 - 15 = -2*c + q for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.7016386 milliseconds?\nAnswer: 0.0007016386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10746 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2346 divided by -34.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -201?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-5 - ((-5 - 3) + 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1876, -1878, -1880, -1882?\n\"Answer: -2*i - 1874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**5\/7 - 120*n**4\/7 - 597*n**3\/7 + 1290*n**2 = 0.\nAnswer: -10, 0, 7, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3267*v**4 + 55935*v**3 + 6744*v**2 + 204*v = 0.\nAnswer: -17, -2\/33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2520 is divided by 168.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10778479 is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cckkkkkkckkkkkk. What is prob of sequence kckc?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1678*v + 3 - 6 + 3 + 1737*v.\nAnswer: 3415*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18508241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1872 + 1887. Suppose -340 = -5*b + b. Calculate the remainder when b is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*y - 32*y + 544. Calculate the highest common factor of 34 and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120881900?\nAnswer: 2, 5, 17, 211, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48443 is divided by 2018.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q**2 + 20*q + 206. What is j(-9)?\nAnswer: -865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 204641 divided by 23\nAnswer: 204641\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-66) + 1960\/(-220).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0.1, -1, 10.2 in decreasing order.\nAnswer: 10.2, 1\/7, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 74701877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/(((g**(1\/6)*g)\/g)\/g)))\/g**(-7)*g*g**(-15)*g*g*g*g**14*g)**2 assuming g is positive.\nAnswer: g**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34.22 + 33.92. What is the closest to 1\/4 in -13, y, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 25299992 = -2*g + 6*g, 3*x + 15179994 = -3*g. What is x rounded to the nearest 100000?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 + 8 - 51)*((0*q - q - q)*(0*q - 5*q + 6*q) - 27*q**2 - 8*q**2 - 22*q**2)*(0*q + 4*q - 3*q) as p*q + i*q**2 + c + x*q**3 and give x.\nAnswer: 767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22514 (base 6) to base 16.\nAnswer: c8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 + -30 + -28 - (1 - 7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 26 = -59. Let r(w) = -w**3 + w**2 - 4. Let c be r(0). Are c and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 388?\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42925 = 334*z - 2051*z for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2)*(-48)\/108. What is the nearest to 1 in 5\/6, 0.1, n?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 11. Suppose 4*g - 51 = 2*l + 89, -p*l - 16 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 7*y - 2*y - 27, 3*j + 3 = 4*y. Suppose 2*w - 8 = -0*w, y*c = 2*w - 2. Factor -1 - 5 - 2*n**c + 8*n - 2.\nAnswer: -2*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 234*r**2 + 7*r - 148. Let i(z) = 117*z**2 + 3*z - 80. Let a(x) = -21*i(x) + 9*q(x). Differentiate a(d) with respect to d.\nAnswer: -702*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1723 + -1012. List the prime factors of i.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2.2, -67 in increasing order.\nAnswer: -67, 2.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-198)\/165)\/((-24)\/(-56)*(-84)\/24)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1. Let f(g) = 8 + 29*g - 10*g - 14*g. Calculate -f(x) + 6*t(x).\nAnswer: -5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 862183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 2*y**2 + 5*y**2)*(-200 + 200 + 5*y - 2*y + 6*y + y + (0 + 0 - 1)*(-3*y + 2*y + 0*y)) + 2*y**3 + y**3 - 2*y**3.\nAnswer: 45*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 18825*s**2 - 42*s - 3. What are the prime factors of y(-1)?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(190) + sqrt(190) + sqrt(190) + (sqrt(190) - (sqrt(190) + -1*sqrt(190)))*5 + sqrt(190))\/(-5*sqrt(90)*-2).\nAnswer: 7*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89509747 is divided by 6655?\nAnswer: 6652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1531, 1538, 1555, 1588, 1643, 1726, 1843?\nAnswer: 2000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -253 + 377. Let j = y + -116. Let x(i) = 82*i**2 - 3*i - 1. What is the least common multiple of j and x(-1)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - (-10 - 537\/96). Which is bigger: x or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2332671 by -5.\nAnswer: 2332671\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1115141*j. Let w(n) = n**2. Determine w(b(v)).\nAnswer: 1243539449881*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**3 - 205 + 277 + 8*z**3.\nAnswer: -3*z**3 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 5 - 2*x)*(0*x**2 + 5*x**2 - 3*x**2).\nAnswer: -4*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1009b82 - 4?\nAnswer: -1009b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 21226 + 24\nAnswer: 21250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -4 + (5 - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/13))**(-35) assuming b is positive.\nAnswer: b**(-420\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zm when two letters picked without replacement from {z: 3, m: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.5 (b) 2\/31 (c) -0.052\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17a3 + -7?\nAnswer: -17aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 10*o**3 + 505*o**2\/2 - 85*o - 1898. What is b in x(b) = 0?\nAnswer: -17, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.31 - 0.31. Which is smaller: -1\/6 or i?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r - 5. Let d = -14 - 13. Let o be (-1)\/((12\/d)\/4). Is f(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/32 + 14\/8. Let k be o\/(30\/72 - (-3)\/12). Find the third derivative of -18*n**3 + 38 - 5*n**2 + 2*n**k - 38 wrt n.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1441 + -30305\/21. What is the common denominator of (-7390)\/690 + 8 + (-12)\/(-6) and g?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000549219 to five decimal places.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 4*v = 6. Suppose r + v*g + 3 = -r, 4 = -5*r - 4*g. Suppose 17*c - 21*c + 48 = r. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 809 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: What is 6021305 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 13. Let u = 0.8 - -3.2. Put u, 0, f in increasing order.\nAnswer: 0, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424465.11 milliseconds in days?\nAnswer: 0.004912790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/3, -2\/9, 0.02, -1\/7, 0.11371, 3?\nAnswer: 0.11371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -13 + z + 13 - 2*z. Let l(f) be the first derivative of 2 + 1\/2*f**2 + 0*f. What is l(a(w))?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**4\/12 - s**3\/6 - s**2 + 12*s. Suppose 10*f - 2 = 11*f. Calculate x(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1287)\/286*8\/(-162). Which is the closest to 0.05? (a) s (b) 0.1 (c) -1\/5 (d) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5451512424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 59 = t - 225, 4*t + 8 = 0. Let m be ((-45)\/(-10))\/((-2)\/b). List the prime factors of (m\/(-12))\/9*-32.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9018538326\/131 + -68844228. Let p = -424 - i. Is 0 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-6) + 58\/(-84). Let l = -458\/5 + 92. What is the smallest value in h, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z**2 - 37262*z - 10*z**2 + 2*z**2 + 37573*z + 6*z**2 to q*z + l*z**2 + c and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -184313400, -184313394, -184313388, -184313382?\n\"Answer: 6*l - 184313406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -42, 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 1\/7 (c) 3 (d) 12 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 42*y + 1036. Calculate the remainder when 1398 is divided by d(-24).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 15557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:41 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625 + 629 = 2*f. Find the second derivative of 37*u**2 - 11*u - 26*u + 13*u - 27*u + 50*u**f wrt u.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.17 (b) 228 (c) 7 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3602, 7177, 10728, 14243, 17710, 21117?\nAnswer: 24452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7809, 11648, 15487, 19326?\nAnswer: 23165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -883816393 - -1122.9.\nAnswer: -883815270.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28417 and 724.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14117191330 rounded to the nearest one million?\nAnswer: 14117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = 0, 2 = -2*x + 2*i + 4. Suppose -2*r = x*r - 260. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89484*o**2 - 89484*o**2 + o - 41*o**3 - 2*o**4 - 8 to the form h*o + d*o**4 + n*o**2 + j + c*o**3 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 684856 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1306673 and -1306673 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705917270 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*o = -4*o. Let z = -13 - -7. Let y be z\/(-4) - (-1)\/2. Solve 2 = y*h - o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (3 + (-12 - -4) + 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3349955756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 42 + (3 + -8 - -21) - 14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3525*x**4 + 4038*x**2 wrt x.\nAnswer: -84600*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 239)*9\/(252\/(-35)). Suppose a + 2*k - 100 = 3*k, -k = -3*a + c. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 + -51462?\nAnswer: -51532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*m - 19*m = 93*m + 17523. Suppose -1961 = -4*r - 113. Let j = m + r. What are the prime factors of j?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 9\/6)*-2 - -4. Is (-2 - (65 + n))*-1 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d + 9*i = -22*d - 57, 2*i = d + 8*i + 25 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 15. Let d be o(-14). Sort d, 3, 12 in descending order.\nAnswer: 12, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/(o\/o**(-1)))\/o))\/o)**3\/(o**(3\/7)\/o**(-6)) assuming o is positive.\nAnswer: o**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(11\/4)*w**2*(w*w\/w**18)\/w**(-1\/6) assuming w is positive.\nAnswer: w**(-133\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*n - 6*n + 5*n)*(-22*n + 6*n + 28*n + 27*n).\nAnswer: -624*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-2*q + q - 2*q)*(-2*q - 2*q + q).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -9. Solve -5 = -x - d*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2) - 82\/(-4). Let t(w) = 7*w + 15. Let z be t(6). Let r = z - 54. Solve -r*h = 2*h - d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11393*l - 11397*l = -8, 0 = j - 0*l - 2*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4932625, -9865251, -14797877, -19730503, -24663129, -29595755?\n\"Answer: -4932626*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 0 + 1\/6*c**3 - 1\/24*c**4 + 0*c**5 - 2*c + 0*c**2 + 1\/360*c**6. Let l(y) be the second derivative of b(y). Factor l(h).\nAnswer: (h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/4 (b) 6.6 (c) 0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 367009613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40, 33, 22, 7?\n\"Answer: -2*r**2 - r + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74372 (base 8) to base 16.\nAnswer: -78fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 2 - (-5 + (-8 - -7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31404 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n**2 + 8*n**2 - 46*n**2 as o + d*n**2 + w*n and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 203 = -3*v, -v - 5*r - 27 = -118. What is the highest common divisor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**5\/5 + 31*t**3\/6 - 1244*t**2. Let r(p) = 7*p. Determine r(z(d)).\nAnswer: -84*d**2 + 217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -11929.415 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -100011?\nAnswer: -100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -27*y + y + 24*y. Let u(g) = -g - 1. Let i(v) be the third derivative of -v**4\/12 - 5*v**3\/6 - 2*v**2. Let n(k) = i(k) - 5*u(k). Give n(m(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 46*b. Let j(a) = a. Let c(g) = -478*g - 2389. Let d be c(-5). Determine d*w(o) + 5*j(o).\nAnswer: 51*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*s - 3, 2*b - 6*b = -4*s. Suppose 31 = 3*i - b*p + 5*p, -16 = 4*p. Let c be -26*(-2)\/((-4)\/(-9)). What is the highest common factor of i and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6537 minus -11689038?\nAnswer: 11682501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1224 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 4 + 4)*(0 + 2*o + 0) + (-301*o**2 + 187*o**2 + 182*o**2)*(-o - 2*o + o).\nAnswer: -138*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 0.24. Let h = f + -0.76. What is the biggest value in -1, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 80*v + 993. What is the remainder when 969 is divided by y(-86)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2*(-6)\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 846360 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Let j = -4 - -2. Let s(l) = l**3 - 24*l**2 + 139*l - 35. Let z be s(9). Sort m, z, j in descending order.\nAnswer: z, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1066*p - 218*p - 240*p - 329*p - 1.\nAnswer: 279*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**3\/3 - 10*i**2 + 5*i + 12. Let y be v(15). Round y to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggdgcgggdgmgmcmmm. Give prob of sequence ggmg.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675954 is divided by 16896.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38483255.\nAnswer: 5, 23, 334637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y + 2*y)*(8 - 6 + 5)*(0 + 1 + 0)*(-6*y - 3*y - 3*y).\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 11\/30) + (14\/(-70))\/(-1). Sort -2, -10, k, -2\/17, -0.4 in descending order.\nAnswer: -2\/17, k, -0.4, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x = -13*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 0 - (-26 - -25). What is the nearest to -1\/3 in -0.4, -2, r, 75?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 12*u - 2*u - u.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*u - 14, u = 5*c - 0*u + 41. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.09 (c) 0.4 (d) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (0 + 470\/(-115)). Let i = -0.67 - -0.27. What is the fourth smallest value in i, 4, l, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-268)\/6 + (-16)\/(-4). Let f = -41 - g. Which is bigger: -3\/8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 305\/45 - (-8)\/36. Suppose -4*g + x*g - 12 = 0. Let p(m) = m**3 + 16*m**2 + 48*m - 7. Let b be p(-12). Sort g, -3, b in increasing order.\nAnswer: b, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 4:40 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.9, 0.3, -0.052?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 14 + 0 = 4*k, 4*c - 14 = -3*k. What is the highest common divisor of k and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-8)*(-50)\/(-360)*2\/5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6534281205 to the nearest integer?\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1605595 and -93\/67604.\nAnswer: 6422380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22, -48, -74, -100, -126, -152?\n\"Answer: -26*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/17, -2\/13, 0.3, -0.38?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26986 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 272 = -5*t. Calculate the remainder when t is divided by 0*3\/12 + 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11869*r**2 - 6*r + 5. Let i be p(1). Suppose 11*j + j = i. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 46*x**3 - 4*x**2. Let m(a) = -96081931*a + 96081931*a - a**2. Determine 4*m(s) - o(s).\nAnswer: -46*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-3 - (4 + -3)). Suppose 0 = -r*b + 8*b - 328. What are the prime factors of b?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r + 108 = 137*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 + -37. Suppose -f + 26 = 3*x + 2*x, 2*f - k = -4*x. Let y(o) = o**3 - 6*o**2 + 5*o - 5. Let i be y(x). Let s(a) = a**2 + 7*a + 6. What is s(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -408647, -408626, -408599, -408560, -408503, -408422?\nAnswer: -408311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005474177 rounded to seven dps?\nAnswer: -0.0000547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47777371 or 621105828\/13?\nAnswer: 47777371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 13. Let m be k(-2). Let r be 10\/(-25) - (-6)\/m. Solve 4*w - 2 - 2 = r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*k = 4*l + 8, -3*k + 7 = -4*l. Suppose l*n - 111 - 15 = 0. Calculate the remainder when n is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1008107 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -o - 0. Suppose 0 = -i + 3 - 2, -4*z - 3*i - o = 0. Put 4, z, 1 in decreasing order.\nAnswer: 4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1493635 by -13.\nAnswer: 114895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2777 + 4707485.\nAnswer: 4704708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + t**2 + 339*t**3 + 333*t**3 - 371*t**3 to w*t**2 + v*t + c + n*t**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -14*o - 150. Let z be n(-7). Let b = z - -224. What are the prime factors of b?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1572, 0, 15, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-40))\/((-5)\/(-60))*(-4)\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-340)\/255)\/((-8)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 4*v**2 + 13*v - 9. Let b be m(6). Let l be (-4)\/(-10)*(b - -13). Is 1249*(l\/12 + (-6)\/(-9)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95364601985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, d: 4, g: 1}. What is prob of picking 1 g and 1 d?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75492618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54415, 55043, 55671, 56299, 56927, 57555?\nAnswer: 58183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/10 and 27\/98?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*g + 7*g = 133, -t + 2 = -5*g. Suppose -b - t = 2*b. Calculate the remainder when 1 is divided by 3\/b + (-4)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 310365859 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - q**2 + 3*q - 3. Suppose 2*i - 6*i + 76 = 0. Suppose i - 3 = 4*a. What is the units digit of b(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**2 + 132 + 7*l**2 - 132 - 2*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 3*s - 7. Let l(j) = 8*j**2 - 1 + 2 - 4*j**2. Let v be l(1). Let p be h(v). Solve -2 = 5*x + p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7768 + 7760. Which is the closest to 11\/5? (a) -1\/7 (b) r (c) -0.5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-87)\/9*(10 + (-386)\/38) and 47\/38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, -167, -485, -1057, -1967, -3299, -5137, -7565?\n\"Answer: -14*y**3 - y**2 - 47*y + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 144 + 10?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b605 (base 15) in base 6?\nAnswer: 454052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-11)*q*q**(3\/8))\/(q**9\/(q*q\/q**(2\/3)*q)))**(1\/6) assuming q is positive.\nAnswer: q**(185\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q\/(q\/q**(-1))))*q\/(q*(q\/q**6)\/q*q*q)*(q*(q**(-3\/7)*q)\/q*q*q)\/(q*q**4\/q*q) assuming q is positive.\nAnswer: q**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -11*v - 8. Let f(c) = -6*c - 4. Give 5*f(u) - 3*n(u).\nAnswer: 3*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, 281, 1588, 4115, 8264, 14437, 23036?\nAnswer: 34463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -20995, -1, 7 in ascending order.\nAnswer: -20995, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/(-60)*(-100)\/2. Let a(u) = -u**3 - 25*u**2 - 4*u + 49. Calculate the remainder when a(t) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 4762*n + 47420.\nAnswer: 2*(n + 10)*(n + 2371)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**2 - 106*z + 209. Let u be a(2). Let j(v) = -v**3 + 21*v**2 + 2*v - 7. Calculate j(u).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153818529?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, t: 1, q: 1, v: 1, i: 2}. Give prob of sequence tiv.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3138*s**6 - 593*s**5 + 576203*s**2 + 6*s?\nAnswer: -376560*s**3 - 35580*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*i - 2*i - 5*p, 3*i + 5*p + 4 = 0. Let m(x) = -13*x + 1. Calculate the remainder when m(-3) is divided by (21\/(-12))\/(i\/(-16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 5 - 6)*(2*m**4 + 0*m**4 - 4*m**4)*(18 + 5 + 57).\nAnswer: -1280*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48471317*l**3*m**2*w + 150*l**3*m - 3*l**3 - 2*l**2*m**2*w + 2*l*m*w + 24*l*w + 6*l + 3*m wrt m?\nAnswer: 96942634*l**3*w - 4*l**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 91116.\nAnswer: -45558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 8 - 895*m**3 - m - 247*m**3 as o + x*m + d*m**3 + w*m**2 and give d.\nAnswer: -1142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4530554 (base 6) in base 13?\nAnswer: -80680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 1:22 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(-3*(sqrt(192)*-1 + sqrt(12)))\/((sqrt(486) + 2*sqrt(486))*-4).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86398 is divided by 9593.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 69 = -11*g. Let z(b) be the second derivative of 0*b**g - 1\/10*b**5 + 2*b + 0 - 2*b**2 + 0*b**4. Differentiate z(m) with respect to m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 605*a. Let i be f(6). Let t be 2 + 4 + (-1 - -7). Suppose 15*x - t*x = -i. Round x to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q + 31*q + 126 = 0. Calculate the highest common divisor of q and 336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38731.11 rounded to the nearest 100?\nAnswer: 38700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279474 is divided by 890.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 times -1579?\nAnswer: -63160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 + 106. Suppose 2*m + 10 = d, 2*t + m + 4*m = -23. Solve 0 = -3*o + 11 + t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7))**(-2\/27) assuming h is positive.\nAnswer: h**(14\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.5, 0.2, -0.1, 21\/2 in ascending order.\nAnswer: -0.1, 0.2, 0.5, 5, 21\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 930 - 230*h + 126*h + 101*h to the form p + t*h and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183586249 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 - 58. Let y be -1*((-4)\/(-18) - 325\/d). Suppose 11*t - y*t = 192. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + -5 + 5*sqrt(38)\/sqrt(2)*-1 + (sqrt(95) + ((sqrt(95) - (sqrt(95) + -1*sqrt(95)))*2 - sqrt(95)) - sqrt(95))\/(-1*sqrt(720)))**2.\nAnswer: 61*sqrt(19) + 75163\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2101*t**2 - 121*t. Let m(p) = 47*p**2 + 11*p + 9. Let u(x) = -43*x**2 - 8*x - 6. Let h(i) = 2*m(i) + 3*u(i). Calculate 121*h(r) - 2*w(r).\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1116742 divided by -2\nAnswer: 558371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2735*g**3 + 1521*g**2 + 2?\nAnswer: -16410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 499, 1021, 1543, 2065?\n\"Answer: 522*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/6)*k**(-2\/7)*k**3\/k*k*k*k*k**(-6))\/(k**(-2\/37)\/(k*((k*k**(-12))\/k*k)\/k))**4 assuming k is positive.\nAnswer: k**(-69779\/1554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10418 (base 9) to base 10.\nAnswer: 6902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.072 and -35683888281.\nAnswer: -35683888281.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**3 + 6*j**2 + 3*j + 2. Let h(t) = -t**3 - t**2 - t. Let o be (0 + -1)\/(3\/(-15)). Let y(m) = o*h(m) + s(m). What is y(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + -28. Let j be (-5720)\/d - 2\/(-6). Let y = j + 340. What is y rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74001?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 131601*k + 2106384.\nAnswer: -3*(k - 16)*(k + 43883)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -558268580 divided by -139567145\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -9472.\nAnswer: 3788.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 8*k - 39 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -4. Let k be -2 + m - 8*-1. Solve -2*j = 2*s + 2, 3*j + k*s = 4*j - 17 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26631359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1798, -1, 6 in increasing order.\nAnswer: -5, -1, 6, 1798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31322 - -2120013?\nAnswer: 2022031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -473.06566 - -920436?\nAnswer: 919962.93434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-720)\/25)*(-40)\/50?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.189 and -67987.\nAnswer: -67987.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -58. Let u = -26 - z. Let b = u + 8.65. Round b to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**35*p)**(-11) assuming p is positive.\nAnswer: p**(-396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 69. Suppose 5*m = -2*b + 4, -4*b + v*m + 8 = m. Suppose -462 = -4*a + t, -b*t - 228 = -2*a - 0*t. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2436 greater than 3852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4305614247?\nAnswer: 3, 11, 3691, 11783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 6*b**2 + 3*b - 5. Give f(7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 + 1. Calculate the greatest common divisor of 32 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2966, -3790, -4614, -5438, -6262, -7086?\n\"Answer: -824*c - 2142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**5\/20 + 7*x**2. Let g(o) = -3*o**2. Determine f(g(y)).\nAnswer: -27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(0 + 6\/(-4)). Suppose -g = j - 8. Suppose g*u - 5*t - 175 = -0*t, -3*u - 3*t + 111 = 0. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*f - 122*f**2 - 18*f - 25*f + 61*f to n*f + t*f**2 + h and give t.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54149 - -21876249\/404. Find the common denominator of j and 95\/24.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -73103 + 6?\nAnswer: -73075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 2599, 11 in descending order.\nAnswer: 2599, 68, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 7 - 3. Suppose 10 = 18*n - 13*n. Factor 20*m**l - 37*m - 58*m - 23 - n.\nAnswer: 5*(m - 5)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (302 - 238) + -6 + 2\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 497. Let g = 549 + y. Suppose -2*j = -j + 2*r - 332, 0 = 2*j + 3*r - 665. What is the remainder when j is divided by g?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/204)\/((-21)\/(-63))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 914349033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(24\/5)*(p\/p**(-28))\/p)**(1\/24))**48)**(4\/35) assuming p is positive.\nAnswer: p**(1312\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6 = -2*t, -6 = -4*g - 5*t + 18. Let n(f) = 2*f + 2. Let i(c) = -c - 1. What is g*n(v) + 10*i(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 170315900*i - 411648886 wrt i?\nAnswer: 170315900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 14.708, -0.5, -7\/3, 5, -0.3?\nAnswer: 14.708","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 b when four letters picked without replacement from jjjhhbhjbjjjbjhbjjbb?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8955 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.04 (b) -0.5 (c) 32550 (d) -7 (e) 16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/1421*994\/(-3550)\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -305? (a) 4 (b) 2\/7 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -2. Let m be (0\/(-2))\/(6\/j). Suppose m = -n + 4*n - 39. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1153 + -1209. Let t = 4.5 - -45.5. Let o = t + s. Which is bigger: -2\/7 or o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/14 - 16\/(-56)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -5) + 4 + (7 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from kkkkkkhh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 19. Suppose d = 2*k + 3*k - 120. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*v - 7*p + 58, -4*v - 3*p = -111. Let q = v - 25. Suppose -52 = -q*a + 52. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.53921ns in microseconds?\nAnswer: 0.04053921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(80)*1) + 5.\nAnswer: sqrt(3)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4597413*o*x**2 - 2515170*o wrt x?\nAnswer: -9194826*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2 + 5. Solve -3*s + 2*s - g = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 132133 - 1?\nAnswer: 132132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3140519, 6281038, 9421557, 12562076?\nAnswer: 15702595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90371 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Let p be (-4)\/(12\/9) - -2. Is p < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19306 is divided by 3860.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-545)\/180)\/(7\/(-9 + 65))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - 19*x - 15. Let y be d(-11). Is (1 - -1726)\/(7 - y\/(-8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/sqrt(72) - (sqrt(11) - (sqrt(11)*-3 + 0)**2).\nAnswer: -2*sqrt(11)\/3 + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 292 - 838. Let k be (-1040)\/c - (-8)\/84. Let b(d) = d**2 + d + 1. Let u(p) = -4*p**2 - p. Give k*b(v) + u(v).\nAnswer: -2*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -14*i**3 - 8*i**2 - 11. Let u(t) = -9*t**3 - 5*t**2 - 7. Calculate 5*r(x) - 8*u(x).\nAnswer: 2*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 933522, 933521, 933520?\nAnswer: 933519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433222 (base 9) to base 15.\nAnswer: 517b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 943*w**2 + 318*w**2 - 346*w**2.\nAnswer: 915*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 2.8. Let c = x - 3.04. Does c = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 183*a + 7360. Calculate h(143).\nAnswer: 1640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-3) - 6\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 98 divided by 98\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5\/2 + 1893*n**4 + 2576103*n**3\/2 - 6472365*n**2 + 10372386*n - 5189964 = 0 for n.\nAnswer: -494, 1, 2, 1751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*q, -5*g + 16*q - 11*q - 10 = 0. Solve g*i = 6*p - 2*p, 0 = 5*i + 20 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 2*x - 3. Let t be f(-3). Let s = 50 - 24. Suppose -43*b + 25 = -38*b. Solve t*q + 2*v = -b*q, -3*q = -4*v + s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**2 + 10*s - 9. Determine m(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**3 - 4807040*q**2 + 1444212676372*q + 8665449112536 = 0.\nAnswer: -6, 600883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + -8 + (-15 + (-6 - -17) - 10).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2425.46 * 0.2\nAnswer: 485.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/9 or 0.72?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = b. Let c(o) = o**3 + 5*o**2 - 6*o - 10. Let j be c(b). Let v = j + -16. Calculate the greatest common divisor of v and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(425) + (sqrt(425) - sqrt(425)*-1) + 1)*-3 + 1*((-1 + sqrt(425))*1 - -1*sqrt(425)*5)**2.\nAnswer: -105*sqrt(17) + 15298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*z - 54, 0 = 2*z - k - 3*k - 36. Solve 0 = -12*t + 13*t - 2*x + z, 4*t - 2*x + 18 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwa when three letters picked without replacement from ujzzawaauuuzz?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 8*r**2 + 7140*r + 14353. What is d(-2)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478958.\nAnswer: 2, 17, 14087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-16)*x)\/x)**30*x**(2\/7)*(x**(2\/9)\/x)\/x assuming x is positive.\nAnswer: x**(32036\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/2 + -4 + 51\/(-6). Let v be (6\/m)\/(-3) + 33\/12. Factor -1\/2*u**v + 0*u + 1\/4*u**4 + 1\/4*u**2 + 0.\nAnswer: u**2*(u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11130 - 6670. Round k to the nearest 100.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*b + 11*b + 12. Suppose 5*d - 4*k + 5 = -2*k, -b*d = 3*k - 18. What is the greatest common factor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - j = 41, -2*s - j + 64 = s. Suppose -6*n - n = -s. Let m be (1 - 1) + 8\/(-30)*n. Put m, 2\/5, -2\/11 in decreasing order.\nAnswer: 2\/5, -2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r**3 + 25*r**2 + 28*r - 26. What is k(1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**5\/12 - w**4\/24 + 2*w**2. Let k be x(-3). Suppose -4*n + n + k = 0. Calculate the remainder when n is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 9576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -516.5 + 416. Let f = -100 - r. Let a(p) = -p**3 - 2*p**2 + 4*p + 3. Let v be a(-3). Is f less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 41.\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8290*s**3 - 4149*s**3 - 4144*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*g + 4 = 2, -5*g - 8 = -4*h. Suppose -4*q - 2*i + 2 = -2, h*q - 4*i = -8. Solve q = -w + 6 - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132142 (base 5) to base 13\nAnswer: 2546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2 + 1 = 0, -3*d = 4*b - 4. Let g = -19 + 0. Let x = -739\/39 - g. Which is bigger: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3115472448 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * 168248.\nAnswer: -3028464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) -5 (c) -0.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -129789 - -129789.1342704. Let k = 4.5657746 + i. Let n = k - 4.7. Round n to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-1))\/((-6)\/8*(-230)\/(-207))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -33.5. Let q = 318 + -323. What is the closest to -0.2 in q, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, y: 7, v: 2}. Give prob of sequence vvd.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 1) + 4 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 - 57. Let b = 20 + -6. What is the highest common factor of i and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*w = -147 - 12, -5*j + 4*w = -163. Let o = 2 - j. Let c = o - -40. Calculate the least common multiple of 2 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 20829*h**2 - 705585*h - 5990103.\nAnswer: -3*(h + 17)**2*(h + 6909)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -29. Let w = y - 20. Let b(q) = 5*q**2 - 1. Determine b(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 9:56 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10424 + -2?\nAnswer: 10422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w - 679*w**2 + 6*w + 6*w - 6*w as r*w**2 + c*w + z and give r.\nAnswer: -679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 7:41 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88465.41 millimeters to micrometers.\nAnswer: 88465410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**3 - 3. Let m(v) = v**3. Let f be -2*((-10)\/(-35) + 10\/14). What is f*m(t) + o(t)?\nAnswer: 2*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g. Let m(i) = -3*i**2 + 0 - 2 + 2. Calculate m(z(d)).\nAnswer: -147*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1172154*f**2 + 27819911*f wrt f?\nAnswer: 2344308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 26496094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5781 - -69385\/12. Let k(h) be the second derivative of 0*h**3 + 1\/2*h**2 + l*h**4 + 0 + 24*h. Differentiate k(o) with respect to o.\nAnswer: 26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20960984 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: Suppose -16 - 120 = -8*k. Solve 5*g + 23 = o, -g = g - 3*o + k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 - 183 - (6 + (8 - 13))\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 1:04 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -1.5138415.\nAnswer: -5.5138415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 + 1 + 0 - 3*n**4 - 8*n**4 wrt n?\nAnswer: -44*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -10*x**3 + 2*x + 1. Let n be j(-1). Let i = -2153 - -2159. What is the greatest common divisor of n and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbwcbbbbbdwbbb. What is prob of picking 1 c and 3 b?\nAnswer: 143\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -3413883 + 15973883. Round f to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 52?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (25 + -58) - (1 + 53)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 - -177 - (-26 - 2) - 78?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 6*w**2 - 8*w - 4. Let a be j(-7). Suppose 0*q - a*q + 35 = 5*o, -o - 5*q + 29 = 0. Suppose -o*k = -32 - 36. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) 0.1 (b) 4 (c) -70 (d) 6 (e) 2 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54504 divided by 2.\nAnswer: 27252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/1303017 and 10\/21?\nAnswer: 9121119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/308576 and 47\/266301088.\nAnswer: 266301088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 4*f + 82 = 0, -1363*f - 134 = 2*q - 679*f - 678*f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15570 + 25740?\nAnswer: 41310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 13 = -0*c. Let o(r) = -8*r**2 - 11*r + 13. Let p = -60996 - -60990. Let s(k) = -4*k**2 - 5*k + 6. Calculate c*s(f) + p*o(f).\nAnswer: -4*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 8:58 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 177575\/10*2 + 1. Let t = p + -54816. What is t rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116\/3, 0.4, 5 in increasing order.\nAnswer: -116\/3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five halves of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 7:26 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 32 = 2*j, -3*l = 2*l - 2*j + 128. Let i = l + 58. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1063109, 0.1, -265.\nAnswer: -1063109, -265, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 11*h = 4*h - 560, 436*l - 439*l - 51 = -h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 39 = -9*d. Suppose 5*m = 2*m + 162. What is the highest common divisor of m and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -651 - -761. What is the first derivative of 213*u**3 + 136 - 126*u**3 + y*u**3 wrt u?\nAnswer: 591*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96*m - m**4 + 96*m**2 + 12*m**3 - m**4 - 42*m**3 + 5*m**4.\nAnswer: 3*m*(m - 4)**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 135 - 136 + 2*k**3 + 2*k**2 + 4*k - 2*k in the form p*k + s*k**3 + j + x*k**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - (15 + -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o - 48 = -25*o. Let c(f) = 7*f - 26. Let h be c(o). What is the greatest common factor of 24 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 6*t + 17 + 1.\nAnswer: 6*t + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 446921510 to the power of 1\/2, to the nearest integer?\nAnswer: 21141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38252306143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 1429.2 and 79\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30296 + -30296.2. Which is the fourth smallest value? (a) 42 (b) 1\/4 (c) j (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/2*72\/6. Suppose 4*b - l - 141 = 2*l, 0 = -3*b - 3*l + 111. What is the greatest common factor of b and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 3 - 3 - (6 + -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1193400 and 11700.\nAnswer: 1193400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6450172 divided by -172?\nAnswer: -37501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -184.9008695 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20802 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1255 and -0.75.\nAnswer: -941.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10736 and 264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z. Let l(b) = 2*b + 5351. Calculate l(k(r)).\nAnswer: 6*r + 5351","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/3*x**3 + 2\/3*x**2 + 0 + 2\/3*x**4 + 0*x = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/1980*-11*(0 + -5). Let y = 2.8 - -0.2. Which is the smallest value? (a) s (b) -27 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562809 is divided by 139.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11504 - 4?\nAnswer: -11511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - (2023\/68 + 14)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 84aa98?\nAnswer: 84aa9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6215*n + 23 + 13 - 16. Let x be p(-8). Round x to the nearest one thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14\/5 + -31\/20. Let o = -12.7 + 12.4. Let h = 0.8 + 0.2. Which is the second smallest value? (a) h (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5284 is divided by 88.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*m + 4 = -11, -3*h = 2*m + 10. Suppose 4*f - 28 - 44 = h. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*p + 15 = 0. Suppose p*w - 26 = 4*w. Let a = w + -10. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/8 (b) 2\/11 (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -322100901 - -322100855.9999958. Let q = h - -45. Round q to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 18. Let u be q(-9). Let m = 0.12 - 0.3. Which is the closest to u? (a) 1 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145004059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 19 = -0*o. Let u = o - 13. Let j be (-1)\/((8\/u)\/4). Let n(y) = -y**3 - 3*y**2 - 2*y - 2. Determine n(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3 + 0*x**3 + 2*x - 4*x**2 + 4*x**3 - 5*x**3 + 2*x. Let h be k(-6). What is the greatest common divisor of 34 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {a: 1, w: 2, p: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8332563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q**3 + 37*q**3 - 68*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2*l**2 + 7 - 20*l - 172*l + 29*l.\nAnswer: 2*l**2 - 163*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**4\/2 + 46*d**3\/3 - 21*d**2 + 78. What is the second derivative of i(m) wrt m?\nAnswer: -12*m + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 2:35 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2) + sqrt(19) + 0 + sqrt(19) + (sqrt(19) + sqrt(209)\/(sqrt(11)*-2))**2 + sqrt(19).\nAnswer: 19\/4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2530564.27 from -2.\nAnswer: 2530562.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*u + 8 - 8 + 3*u - 5*u - u + (4*u + 0*u - 2*u)*(1 + 6 - 3))*(-2*u**3 - 3*u**3 + 3*u**3) as l*u + p*u**3 + n + a*u**4 + v*u**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**5\/30 - h**3 - 32*h**2 + 7. Let i(u) = -1. Calculate b(v) - 6*i(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8063.919mg to micrograms.\nAnswer: 8063919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9461406 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*h = 1411*h - 705*h + 2*k + 18, 5*h = -40*k - 135 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*4*sqrt(405)*-6 + 5)*-2)**2.\nAnswer: -8640*sqrt(5) + 933220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 4248 and 4251 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 15, 28?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -24. Let q be -1 + (0 - -1) + 1. Suppose -i + 3*o = -8, -5*o + 9 + 1 = 3*i. Put i, z, q in descending order.\nAnswer: i, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003720 to the power of 1\/2, to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160 + -166. Let u be n\/(-6 - -24) - 6\/(-9). Which is the nearest to u? (a) -0.2 (b) -12 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 199745810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5, 0*z - 3*z + 22 = a. Suppose -2*f + 351 = -3*b, 3*b = a*f - 2*f - 864. Let t = f - 92. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 6, -a = 4*a - s + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 83, 71, 59, 47, 35, 23?\n\"Answer: -12*p + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s - 10. Let u be 15\/(((-4)\/2)\/(-12)). Calculate the highest common factor of u and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/5 + 6\/15. Let o be -1*(1 - 5 - -5). Sort -4, d, o.\nAnswer: -4, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37.4 + -37. What is the second biggest value in -1\/4, q, -0.02, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, -5, -203, -0.4, 87?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 452641?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 716242240.\nAnswer: 716242239.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n + 2. Let o be c(2). Let z = o + -18. What are the prime factors of ((-35)\/z)\/((-2)\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54\/(-14)*(3648\/144)\/(-19). Determine d so that q*d**2 + 0 + 8\/7*d = 0.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 2460 = 3*v. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, c: 2, w: 1, d: 1, j: 1, h: 2}. Give prob of picking 2 c and 1 j.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iliiqwli. What is prob of picking 3 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4100\/29 in -0.5, 2.7, 3, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -54168 (base 16) to base 14\nAnswer: -8d73a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -453 <= -714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -979, -993, -1023, -1075, -1155, -1269?\n\"Answer: -q**3 - 2*q**2 - q - 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -964874.673 to the nearest one hundred.\nAnswer: -964900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 19*k**2 - 3*k - 15. Let s(j) = 9*j**2 - 2*j - 7. Let i(m) = 7*s(m) - 3*w(m). Let c(h) = -7*h**2 + 6*h + 5. What is 4*c(q) + 5*i(q)?\nAnswer: 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 228 + -1827\/8. Which is the second smallest value? (a) 3 (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 158404.\nAnswer: 158404.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from jejl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.63 + -21.56. Which is the fifth smallest value? (a) q (b) -4 (c) -0.2 (d) -2\/5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 19. Let p(v) = -v**3 - 6*v**2 - v - 8. Let a be p(c). Let y(i) = -i - 2. Determine y(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**3 - 5*m - 3*m**2 + 2*m**3 - 2*m**3 + m**3 + 4. Let q(d) = -4*d**3 - 7*d**2 - 11*d + 9. Suppose 13*a + 52 = -21 + 21. What is a*q(t) + 9*v(t)?\nAnswer: -2*t**3 + t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 16 + 2 - 19. Let v be 4\/6 - 7\/(-3). Let q(s) be the first derivative of s**4\/2 - s**2\/2 + 3*s + 3. Give v*k(u) + q(u).\nAnswer: 2*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**2 + 3*l + 1. Let n be (-20)\/8*(-4)\/5. Let m(a) = -a**n + 4*a**2 + 2*a**2 + 2*a - 6*a - 2. Determine -3*c(k) - 2*m(k).\nAnswer: 2*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 10. Suppose 4*a - 86 + 1 = l*o, -4*o + 37 = a. Let b(i) = i**2 - 5*i + 7. What is the remainder when a is divided by b(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 6\/10)\/((-3)\/(-120)). Suppose -11*w + 31 = -k. Solve 4*g + 16 = -4*c, -4*g + g - 22 = w*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1354726832 divided by -6983128\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2 = -2. Suppose -2 = 4*h - 6. Which is the nearest to o? (a) -0.2 (b) -1\/4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*w, -2*n - 30 = 3*n + 2*w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 93521.16ml?\nAnswer: 93.52116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*n + n. Let t be 2 + 4\/8*n. Suppose -44 = -m - t. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**3 - 12*w**2 + 4*w + 9. Let c(k) = -k**3 - 3*k**2 + k + 2. Give 9*c(s) - 2*o(s).\nAnswer: -3*s**3 - 3*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107103, 0.4, -2, -1\/6 in decreasing order.\nAnswer: 107103, 0.4, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 18, h: 1}. What is prob of sequence nnh?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t\/t**(-10))\/t))\/(t*t*t**(1\/5)*t*t*t))**13)**(10\/11) assuming t is positive.\nAnswer: t**(-1846\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or 22?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 6. Suppose -2*b - 14 = -j*m, 3*b - 21 = -3*m - 0*b. Suppose -2*c = -3*n + 99, 51 + 54 = 3*n - m*c. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*z - 3218 = 1008, -4*t + 8407 = -5*z. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 + 10401?\nAnswer: 10134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-105))\/(13\/182)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(0*f**3 - 4*f**3 - f**3) + (-2*f + 2*f**2 + 2*f)*(f + 6*f - 3*f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 8*o**2 + 7*o - 13. Let c be i(-9). Solve -7*b + 8*b - 10 = -2*t, 16 = -2*b + c*t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**6\/840 + 4*f**5\/105 - 11*f**4\/24 + 7*f**3\/3 + f**2 - 209*f - 197. Let l(y) be the second derivative of b(y). Factor l(n).\nAnswer: -(n - 7)**2*(n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3*k**2 - 6*k + 6*k + 4*k**2.\nAnswer: 7*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.444 - 3.264. What is the closest to 0 in i, 4\/9, 2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/5595)\/(31\/1860). Is -1 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7559\/35 - 2157\/10. Let p = -6954 - -243496\/35. Let q = p + b. Calculate the common denominator of q and 63\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9770644897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 642461 times -5?\nAnswer: -3212305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22458*b**3*j**2*l + 707*b**2*j*l - 3*b*j**2*l - 5*b*j + 3*j**2*l - 1796*j**2 - l wrt b?\nAnswer: 134748*b*j**2*l + 1414*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2220, 4433, 6646, 8859, 11072, 13285?\nAnswer: 15498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -4, -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 735088 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25.24 in 2\/3, -0.2, -18, -0.5, -5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5235, 21757, 66601, 153927, 297895, 512665?\n\"Answer: 2360*h**3 + h**2 - h + 2875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23946*n + 56*n**2 - 23946*n + 2*n**4 - 3*n**4 - 3*n**3 wrt n?\nAnswer: -24*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102915686 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5677 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.103 * 0.4.\nAnswer: -0.0412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*x - 79*x + 960 = 74*x - 193*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-12))\/(4\/(-64)). Let d be ((-20)\/(-16))\/(1\/u). Let t = 0 - d. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10947223?\nAnswer: 7, 139, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1922 = 3*s, 4*t - 63*s = -62*s + 3824. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - b + 2 = 4*x, -15 = -5*x - 5*b. Let k = 8 - x. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 33092.\nAnswer: -33091.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, 316, -48, -16, 4 in decreasing order.\nAnswer: 316, 9, 4, 0, -16, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*-1)\/(1\/(-5)). Let d be -2 + 1 - (-1 - -2). Let q be u\/2 + 1\/d. Solve q*v + 6 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 17*y**2. Let x(q) = -12*q + 14*q + 3*q + 45*q. What is x(g(d))?\nAnswer: 850*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -6) + 2 + (-1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by (-13)\/26 - 2\/8*-62.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, t: 3, a: 2, n: 3, y: 1, d: 1}. What is prob of picking 1 g and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z - 1542565 = -2*y - 44*z, 0 = -5*y - z + 3856404. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from pumsuupupmmpu.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 + 6*z**3 + 6*z**3 - 5*z**3 - 4*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 + -121. Calculate the common denominator of 635\/(-50) - 6\/p and 34\/31.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, 62, 138, 236, 350, 474, 602?\n\"Answer: -l**3 + 20*l**2 - 5*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*g*o**2 - 781378*g - 17230010*o**2 + o wrt g.\nAnswer: -17*o**2 - 781378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/2744706 and 103\/1692?\nAnswer: 16468236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5015 - -4?\nAnswer: -5011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 6:55 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.733 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + -4 + 3 - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64750*r + 6684 = 64752*r. Calculate the highest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17460*s - 47656 = 16816*s for s.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67863763 is divided by 23712?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*a - 197*a + 792*a.\nAnswer: 153*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*m - 24 = 0, 7 = -4*f + f + 4*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-22))\/((-24)\/(-264)). Let w(s) be the third derivative of 0*s**3 + 0 - 1\/280*s**7 - 2*s**2 + 0*s**x - 1\/80*s**6 - 1\/80*s**5 + 0*s. Factor w(z).\nAnswer: -3*z**2*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i - 12*i**2 + 3*i - 4*i as l + b*i**2 + u*i and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 395 (b) 0.2 (c) -2 (d) -1\/2 (e) -0.05 (f) -4 (g) 0.15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q + 2. Let d be o(1). Suppose 2*h = 3*v - 2*v + 8, -4*v = -2*h + 8. Solve 4 = z - 5*z + h*j, 4*z - 3*j + d = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-24) - (-172)\/(-3). Let k = y - -105. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a centimeter in micrometers?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.7 - 22. Which is the nearest to 58? (a) w (b) 2\/13 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5937130 a multiple of 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -91*f - 34. Calculate h(-3).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 10*v + 4. Let f(p) = 4*p**2 + 6*p. Let z(w) = 11*w**2 + 19*w - 1. Let i(u) = -8*f(u) + 3*z(u). Let q(o) = -7*i(o) - 6*n(o). What is q(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tss when three letters picked without replacement from ttshtthtttttttstttth?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-456)*(-55)\/(990\/54).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -122?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3072017820.\nAnswer: 2, 3, 5, 2857, 17921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6214 (base 7) to base 2\nAnswer: -100001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37847 + 37814 - ((9 - -1) + -1 + -1).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 23*d - 14. Determine j(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 15 - (3 - 11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 0*o**2 + o**2)*(-5 + 1 + 2) + (-14*o + 30*o + 46*o)*(8 - 8 - 10*o).\nAnswer: -624*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12626, -12623, -12618, -12611?\nAnswer: -12602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1018 + 44*x + 1016 + 37*x to the form z*x + s and give z.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-82)\/(-24) + -14 + 55 + -44. Let h(t) be the first derivative of s*t**2 - 1\/18*t**3 - t + 17. Suppose h(p) = 0. Calculate p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280776 is divided by 280635.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 72 + 2. Let g(c) = -c**3 + 7*c**2 + 5*c - 34. Let k be g(u). Let i be (-324)\/(-20) - (-2)\/(-10). Solve x = v - 2*v - k, 2*v + i = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1001 + 503 - 93*v + 85*v + 498.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*i**2 - 425*i + 2250 = 0. Calculate i.\nAnswer: 10, 45\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**3 - 304*m**2 + 3539*m + 10. Determine c(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3163*h + 3168*h - 2*g = -6, 4 = -h - g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5811 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 3, w: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (46\/(-18) - -6)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + (sqrt(4)\/sqrt(2))**2 + (sqrt(18) + sqrt(162) - sqrt(18)) - ((0 + sqrt(2))*-6*1)**2) + 5.\nAnswer: -66 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6624469 is divided by 2208154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -5 (b) 0.9 (c) -5\/1999\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from {o: 1, l: 4, b: 2, k: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 392\/19 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11679061301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-42 - -23) - 10.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*n + 283 + 555, 5*q - 20 = 0. Let c = -882 + n. Let a = 2052 + c. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -50*y**3 - 2*y**2 + 8*y - 71. What are the prime factors of w(-5)?\nAnswer: 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 27*z**2 - 6*z + 1. Let n(t) = -27*t**2 + 5*t - 1. Determine 6*n(o) + 5*y(o).\nAnswer: -27*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 124, 27, -236, -749, -1596?\n\"Answer: -14*n**3 + n**2 - 2*n + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/8, -3, 1.9, -3.392 in descending order.\nAnswer: 1.9, -5\/8, -3, -3.392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 451161 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4149 a factor of 805113508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 379 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/5 - 4\/(-10). What are the prime factors of (1 - -1) + (0 - z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 18*n - 3. Let l(k) = k. Let u(m) = 2*l(m) - r(m). What is the units digit of u(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - h + 157, 2*j - 3*h - 121 - 16 = 0. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -66.7 and -2258.\nAnswer: -2324.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaa when three letters picked without replacement from {a: 3, o: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 6*r - 182 = 0. Let w be 4 - (r - (-1 + 2)). Calculate the greatest common factor of 17 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pclllpcpp. What is prob of picking 1 p and 2 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 + -10?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -97 in 0.5, 39, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2703 a factor of 1189310930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115420\/7 + -16549. Does -1 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19 + -24 - (4 + 44\/(-4)). Factor 0 + 0*d + 1\/2*d**f.\nAnswer: d**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 2. Let b be h(-4). Suppose -4*m = b - 18. Suppose -40 = m*i - 100. Solve -2*y = 5*n + 22, -3*y + i = 2*y - 5*n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 + -5 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**3 - 685*u**2 + 3850*u + 10480 = 0.\nAnswer: -2, 8, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 306900\/(-2046)*6\/(-9)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**2 - 23200*n = 0?\nAnswer: 0, 23200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 + -2.13. Suppose -3 = -7*t + 4. What is the closest to n in -3, t, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**7)**13)**(-21) assuming r is positive.\nAnswer: r**(-2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/32, -3, 0.4, 24429, 0 in descending order.\nAnswer: 24429, 5, 0.4, 0, -1\/32, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -8. Let m be (2124\/8 - 0)\/(138\/8 - 9). Let y = m + z. Is 3 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1004146 and 1460576?\nAnswer: 16066336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/16 - (-13 + 955669\/(-44)). What is the highest common divisor of g and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4350 and 107300.\nAnswer: 321900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -377.073 and 16316.246.\nAnswer: 15939.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*((-2 + sqrt(3))*1 + -1 + (sqrt(15)\/sqrt(5) - sqrt(3) - sqrt(3)))*-4)**2.\nAnswer: 5189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 + 26*d**2 - d**2.\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3726 - -1.4826. Which is smaller: 0.328 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 + 68*q + 5202.\nAnswer: 2*(q + 153)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.4, 1, 0, 86 in ascending order.\nAnswer: 0, 0.4, 1, 4, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -4.32?\nAnswer: 1.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r - 18. Let p be v(-9). Let z = p + 90. Let a(o) = -o**2 + 4*o + 60. List the prime factors of a(z).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Suppose -3*y + 23 + 58 = 0. Let h(m) = -7*m + y*m + 5*m. Calculate h(c(n)).\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64.68 - -56.68. Which is the nearest to -1? (a) o (b) -1.6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0426 and -0.3.\nAnswer: -0.01278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(2\/3)*m\/(m*m\/(m**16*m))*m assuming m is positive.\nAnswer: m**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t - 32 = 8*t - 4*m, -2 = -2*t + 2*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2. Let i(s) = -6*s**2 + 3 - 3. Determine n(i(p)).\nAnswer: 72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -103)*(5 - (-308)\/21). Suppose 7*d = 4*x + 4*d - c, 2*d = -5*x + 2496. Suppose -4*n - n = 3*m - 642, 0 = 4*n - m - x. Is n a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*w - 30 = 0, 43104*w - 43099*w - 924 = 159*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -747*h**3 + 2231*h**3 - 741*h**3 - 754*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -21*s + 102. Let f be r(2). Suppose -4*c - 2*d = -48, 5*c - f = -0*d - 3*d. Let t(x) = 2*x - 9. Let w be t(6). Solve -w*j + c = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -8*c + 3*c - 567, 0 = 5*c + 15. Let v = -145 - s. List the prime factors of v.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 429*k**3 - 6*k**2 - 7*k + 6. Let s be q(6). Suppose s + 21588 = 3*o. What is o rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7408844930?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1869095*k**2 - 1869095*k**2 - 269*k**3.\nAnswer: -269*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 99893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111*j + 2*j - 84*j)*(2 + 7 - 4) - j + 5*j - 3*j.\nAnswer: -964*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19 + 6*v**3 - 19 + 2*v**3 - 3*v**2 + 3*v**2 + (-9 - 40 + 7)*(2*v**3 - 2*v**3 + v**3).\nAnswer: -34*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) 3 (b) -23 (c) -9.4 (d) -0.2 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71\/134 + 2\/67. Let n = m + -1\/6. Which is the closest to -7? (a) n (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**2 - 13610*l - 962895 = 0 for l.\nAnswer: -69, 2791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*h + 19*h - 1 + 1.\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let u(r) = 105*r - 4. What is h(s) + u(s)?\nAnswer: 106*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34040233 - 111?\nAnswer: -34040344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-4) - 9108\/(-16)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**41\/(n\/(n**(22\/3)*n)*n))\/(n*n\/n**(-2\/39))**(-1\/30) assuming n is positive.\nAnswer: n**(5546\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66315 divided by -6.\nAnswer: -22105\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = u + u. Suppose u*c = 4*c - 6. Let x = 167.2 + -167.3. What is the second biggest value in c, 1\/4, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(10) - (3*sqrt(10) - sqrt(10))) + sqrt(1152) + -4*sqrt(450)*3 + -3.\nAnswer: -157*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*x + 7*x = -840. Which is smaller: -20 or x?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -8. Suppose -6*a + 3*u = -2*a + 15, 0 = 4*a + 2*u + 30. Is 3 a factor of l\/2 - a\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -16 (c) 0.3 (d) 9 (e) 3420\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2324486753?\nAnswer: 9419, 246787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-16))\/((-1573)\/6292))\/((-14)\/(-2))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*k**2 + 3)*(2*k - 2*k - 3*k - 1 + 1 - 2*k + (-1 + k + 1)*(-2 + 1 - 1)) + 2*k - 2*k + k**3.\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1069*n - 619*n + 162048 for n.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -980*q + 3952. Let s be o(4). What is the nearest to -3 in 0, s, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 360246 - 360246 - 348*v. Let d(y) = 22*y. What is d(h(w))?\nAnswer: -7656*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329 = 6*v - 533. List the prime factors of v - 32 - (-306 + (1 - 2)).\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02458 rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 4, p: 2, z: 1, l: 2, s: 4}. Give prob of picking 2 w and 1 s.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**5\/90 - 29*s**4\/36 - 26*s**3\/3 + 402*s**2. Factor z(v).\nAnswer: -2*(v + 3)*(v + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from xzztvsvtnzzzzzzztzz?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p = 39*p - 66. Let l(k) = 1010 - 1010 - p*k. Let x(s) = -2*s**2. What is l(x(f))?\nAnswer: 132*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 17*h - 1\/20*h**5 + 7\/2*h**3 + 1\/6*h**4 + 0 + 3*h**2. What are the prime factors of r(-6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -637*p - 669*p + 8*p**2 - 756*p + 2062*p.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.06293 (b) 3\/2 (c) -2\/9 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (5 + -8)) + (2 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 1304.\nAnswer: 3912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2. Let x(d) be the third derivative of d**5\/120 - d**3\/2 + 3*d**2. Let s(c) be the first derivative of x(c). What is s(k(v))?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*w + 5*i - 31, -5*w - 5*i + 110 = 0. Let b = w - 23. Solve 0 = -b*k - 12, 5*k = -5*x - 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2269, 4583, 7165, 10147, 13661, 17839, 22813?\nAnswer: 28715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2456479 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -5567, -639?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f - 15 = -5*y, 3*f = -y - 1. Suppose -22 = -4*s - y*o + 4, -3*o + 19 = s. Let w = 20 + -18. Solve -w*m = -s*a - 14, -3*m + 6 = -4*a - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 223*u**2 - 1. Let k be o(1). Let v = -218 + k. Solve -3*d - 5*a = -6*d - 19, 14 = -3*d + v*a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5283361?\nAnswer: 31, 131, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 + 1807*y**2\/3 - 166940*y\/3 - 113700.\nAnswer: (y - 90)*(y + 2)*(y + 1895)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 751008967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6184904*s - 4065247 wrt s.\nAnswer: -6184904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*f = -3461 + 3222, 3*f + 129 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12004*b**2 + 3983*b**2 + 3996*b**2 - 2 + 2 + 3995*b**2.\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/25 - -14\/225. Which is the nearest to 1\/3? (a) 3 (b) 0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 932101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 32.64. Let s = h - 0.14. Let r be (-2)\/(16\/3 - 2). Which is the second smallest value? (a) -2\/3 (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 18980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -27*v + 36752. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 15*l**3 + 734*l**2 - 51*l - 133. Give w(-49).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28453.62mg to tonnes.\nAnswer: 0.00002845362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 23063651358\nAnswer: -23063651355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -100 + -75b758?\nAnswer: -75b858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9239 - -2.0761. Put 0.06, -23\/4, n, 1\/2 in decreasing order.\nAnswer: n, 1\/2, 0.06, -23\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - (-7 + -11))\/(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 7:38 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by -9.\nAnswer: 59\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 381402 (base 9) in base 16?\nAnswer: 38522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(343) + -4*1*sqrt(343))*-5*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24660424 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-748)\/(-4640)*2 - 4736\/11840)*4\/18\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 660*p**2*s**2 - 21*p*s**2 + 24131*s**2 + 1 wrt p?\nAnswer: 1320*p*s**2 - 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11577\/10 - 1160. Let b(v) = -2*v**2 - 21*v - 8. Let a be b(-10). Find the common denominator of l and -3 - 55\/a*(-4)\/(-120).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004885762 rounded to 5 decimal places?\nAnswer: 0.00489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -182 + 321. Suppose -2*r + t + 271 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94120.94380026 + -94091.9438. Let k = 29.024 + -0.024. Let q = b - k. Round q to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187777606, -187777607, -187777608, -187777609, -187777610, -187777611?\nAnswer: -187777612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*y - 3*y = 44, -2*y + 33 = 3*z. Are z and 10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 407 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 197302160797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 d, 1 q, and 1 w when four letters picked without replacement from edqoedwxxxxw.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20102002212 (base 3) to base 6.\nAnswer: -2412122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (31\/(-5) + 5)\/((-1896)\/45). Is j greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 8 = -j, b + 4 = -3*b - 2*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 + 8*v + 7. Let x be q(5). Suppose -3*g + 4*h = 4, 3*g + 3*h = -0*g + 24. Which is the nearest to 0? (a) 0 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 2. Let c(l) = 1. Let x(b) = -6*b**2 + 6*b. Let n(z) = c(z) + x(z). Let f(j) = 17*j**2 - 17*j - 3. Suppose -w = 393 - 404. Calculate t*f(y) + w*n(y).\nAnswer: 2*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -9*u**2\/2 + 107*u - 100. Calculate b(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-2)\/(-16)) + 43057383\/1077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/14 - (-44)\/(-126). Suppose -1 = -4*z + 219. Suppose -58*b - 48 = -z*b. Which is smaller: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -19. Let x(h) = 17*h + 2. Let d(o) = 35*o + 4. Let j(t) = q*x(t) + 3*d(t). What is the derivative of j(z) wrt z?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (101\/202)\/(19\/(-19))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 <= -135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 7*u**2 + 7*u + 2. Let j(q) = -3*q - 9. Let t be j(-5). Suppose -t*d + 135 + 153 = 0. Let y = -54 + d. Give a(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94.643311 * -3\nAnswer: -283.929933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 4*k + 2, 8*y - 11*y = -k - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -459 divided by 4?\nAnswer: -459\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -556, -5 in decreasing order.\nAnswer: 1, -5, -556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/54 and (-23)\/5*((-8)\/(-6) + -1).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - h**2 - 13 - 38*h - 13*h + 2 to s + z*h**2 + j*h and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -19326380 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 423 divided by -3.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -577*t**2 - 328*t**3 + 1037*t**2 - 459*t**2 + 8*t**3.\nAnswer: -320*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 36*s**2 - 82*s + 241. Is t(-38) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(684) + sqrt(684) + 1 + sqrt(684) + 0 + (-1*sqrt(684)*-1 - 2*(sqrt(684)*-1 + sqrt(684))) + 4 + -1)**2*-5.\nAnswer: -54900 - 1440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53836 <= 53835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 - 85\/10. Let c(y) = -y**3 - 7*y**2 + 8*y + 2. Let u be c(n). Solve -a = u*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18057, 27567, 37053, 46503, 55905, 65247?\nAnswer: 74517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 30*z + 8. Let j(d) = -9 - 2*d - 4*d**2 - 188*d**3 + 187*d**3 - 4*d**2. Let g be j(-8). Is y(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1032 divided by 1032.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -32 (b) -43 (c) 1\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 109, 214, 319?\n\"Answer: 105*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 14) to base 15\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrsxbbxj. What is prob of sequence rm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67418113 + 0.4029.\nAnswer: -67418112.5971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 2, v: 2, w: 2, s: 3}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*x - 3 - 12, 5*t - x = 131. Let d(y) = 2*y**2 - 4*y + 3. Let u be d(2). Calculate the greatest common divisor of u and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*3 + sqrt(70))*1)\/(-1*sqrt(10)*2).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 98 = -3*w + 86, b - 239 = -4*w. Suppose 5*s - 60 = 2*s + 2*i, 0 = -3*s - 4*i + w. Solve -4*q = q - s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2466\/(-12) + 8)*(-4638)\/15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 4*u**2 + 0 + 2*u + 5*u**3 + 9 - u**3 - 6*u**3 to the form q*u + c*u**3 + z + f*u**2 and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 210416.9474 rounded to the nearest 100?\nAnswer: 210400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + (2*sqrt(1008) + sqrt(1008))**2 - (sqrt(847) + 0 - sqrt(56)\/(sqrt(32)\/sqrt(4))).\nAnswer: -sqrt(7) + 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9909 = -2*p + 875, -5*p = 5*o - 11285. Let b = -11339\/5 + o. Let c = -1642\/915 + -1\/183. Calculate the common denominator of c and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 74. Let o be i(11). What is the second derivative of -45*b**4 + o*b**4 - 40*b**4 + 148*b - b**2 - 3*b**2 + 2*b**2 wrt b?\nAnswer: 132*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4760 divided by -119\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 2 + (7 - 7). Suppose 9*h + 610 = 4*h - 4*l, 363 = -f*h - 3*l. Let r = -126 - h. Solve 5*w + r*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/6)\/((-2)\/(-18)). Let y(h) = -h**3 - 22*h**2 - 42*h - 27. Let i be y(-20). Let u = i + p. Solve u*a = 4*a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -767553470+-6.3284\nAnswer: -767553476.3284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189246 divided by 6.\nAnswer: -31541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62832 divided by 1428.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1244.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3727850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k**4 - 444*k**3 + 670*k**2 + 54696*k = 0.\nAnswer: -43, -12, 0, 53\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j - 13. Give q(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/18*6\/20. Let r(g) be the second derivative of -g**3\/6 - 15*g**2\/2 - 6*g. Let p be r(-14). Which is smaller: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 - 15*n - 5. Let x be p(-7). Suppose -x = -2*d + 6. Suppose -2*w - 22 = 4*r, -3*r + d*r = 2*w + 12. Which is greater: w or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8890 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -144, 4, 3, -2, -122 in descending order.\nAnswer: 4, 3, -2, -5, -122, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (5 - (0 + -2)) + -15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76671 is divided by 1299?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 200045664 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 618900 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6 - (-110)\/(-15). Let d = m - -10. Suppose -d*p = -6*p + 117. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267681 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-122)\/(-26))\/(((-2120)\/(-1272))\/(325\/15)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - l = 0, 4*l = 3*k - 4 + 2. Is (-293)\/(-5) - k\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9 - (-6)\/3 - -1. Let f = x - -8. Let w(m) = 3*m**2 - 3 + 6*m + 0*m - m**3 - f. Determine w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1182)\/18)\/((-5)\/15) is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 165 = -4*n, 128*n - 5*z = 123*n + 195 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from {b: 3, e: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 3:04 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*o + 126606510 = 0, 2*a - o - 61195578 - 65410932 = 0. Suppose -2*m = -14 + 6. Suppose -m*b - 21303255 + a = 0. Round b to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -41, -108, -233, -434, -729, -1136, -1673?\nAnswer: -2358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -228 - -2506\/11. Which is the second smallest value? (a) -6 (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Suppose 0 = 6*x + 34 + z. Let k be 4\/x - (-4)\/6. Solve k = 5*a, m = -3*a - a - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 + 8*q + 24. Let f be r(-2). Let c(p) be the first derivative of 3*p**2 + 11 + f*p - 2\/3*p**3. What is the second derivative of c(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 535. Let u be k(-24). Is 607 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 204 = 928. Suppose -5*z - w = l - 1120, -2*z = -4*l + 3282. Let v = 1523 - l. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1150436497 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -88, -139, -192?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 1\/2*y**2 + 97 - y - 1\/4*y**4 - y**3. Give n(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -6, -1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + v - 1. Let i be o(-2). Let m = 7 - 5. Let g = m + i. Solve g*n - 16 = -l, 0*n - n = -4*l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 7*p**4\/5 - 37*p**3\/5 + 66*p**2\/5 - 44*p\/5 + 8\/5 = 0.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1.2, -1 in increasing order.\nAnswer: -6, -1.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, l: 7, k: 4}. What is prob of sequence kk?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 41*z**2 + 94*z - 2242. List the prime factors of w(48).\nAnswer: 2, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1080 - 1388 = 0. Let i = u + 1096. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**14\/(h**(2\/13)*h)*(h**(-1))**(-39) assuming h is positive.\nAnswer: h**(674\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-15) - -2)\/(16\/18 - 87680\/92160)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 175, -4 in decreasing order.\nAnswer: 175, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2422.461349 from -23688.\nAnswer: -26110.461349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 894 - 346 = 2*l, -2*i = -2*l + 546. Suppose -3*r = -1517 + l. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*f**6 - 316*f**2 + 0*f**3 + 336*f**6 - 95*f**6 + 11*f**3 + f - 120*f**6 wrt f.\nAnswer: 9360*f**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -28*p**3 - 15*p**2 + 81*p + 503. Let l be a(-6). Calculate the greatest common factor of 100 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3143 + -3131. Solve 100*q - m = 104*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63 - -3623.74439708.\nAnswer: 3560.74439708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 298 and 11538?\nAnswer: 1719162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28252167?\nAnswer: 3, 139, 67751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 44 = -16. Let o be ((-11)\/4)\/(1\/g). Let k = -2 + o. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2794281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-786487.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(25\/100)\/(2\/28).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: b\"What is the rth term of 44807191, 44807180, 44807147, 44807080, 44806967, 44806796, 44806555, 44806232?\n\"Answer: -2*r**3 + r**2 + 44807192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10 = 2*y - 5, 0 = o - y. Which is the closest to 2\/5? (a) -0.4 (b) o (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 590 = -5*o, 3*q = o - 0*q - 105. What is the highest common factor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/7, 44\/123.\nAnswer: -2\/7, 0.1, 44\/123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9\/2 - (7\/(-2) - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -0.8. Let j = -1.20000037 + y. Round j to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (0\/2)\/2. Let n be (-2)\/(-1*d\/2). Suppose 0*m + 5*k + 8 = -m, 2*k = -4*m + n. Which is bigger: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*u + 91*u. Suppose -2 = -3*c + 4*w + 20, u = -5*w + 25. Let t = -19 - -44. Calculate the remainder when t is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 325*w + 980. Suppose 0 = -0*n - n + 23. Calculate the remainder when n is divided by s(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w + 3*w + 4*w + (-3*w - 4*w - w)*(0 + 3 - 2) + 2 - 2 + w + (3*w + 2*w - 3*w)*(4 - 2 + 0) + 3*w + w - 2*w + 2 - 2 - 2*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-214 + 46 - 425)*(-5*f**2 + 198 - 198) to the form k*f + z*f**2 + y and give z.\nAnswer: 2965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 21. Let r = p - -8.3. What is the closest to 2 in r, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, -7, 0.03, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/234 and -121\/16614.\nAnswer: 16614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m + 10. Let d(f) = -f. Let x(z) = 14*d(z) + 2*n(z). Let w be x(9). Find the third derivative of -w*t**3 + 16*t**2 + 6*t**5 + 56*t**3 wrt t.\nAnswer: 360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 22\/9, 5, -0.5.\nAnswer: -0.5, -0.4, 22\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d**3 - d. Calculate a(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-10 - -11) + 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -198, -586, -1234, -2142, -3310, -4738?\n\"Answer: -130*u**2 + 2*u - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2 + 3. Suppose -18*d - 78 = 30. Let u(z) = -8*z**2 + 7*z - 6. Let k(a) = a**2 - a + 1. Let i(b) = 14*k(b) + 2*u(b). Give d*n(g) + 10*i(g).\nAnswer: -2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2489300?\nAnswer: 2, 5, 11, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2837018\/7 not equal to -405288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.47 and 2.4894228281.\nAnswer: 7.9594228281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 11 = -i, 3*o - 9*i = -11*i + 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 117 - -113023267.\nAnswer: 113023384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336 and 116088?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000020924 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s + 15. Calculate m(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -3 - 2 - (-7 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Suppose 2*c - i - 27 = 0. Let v(d) = -d**3 + 15*d**2 + 12. Let f be v(c). What is the highest common divisor of f and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 70 = -6*k. Suppose -12 = 2*f - 4*b, -4*f - 17 = -3*b - 8. Suppose f = 2*p - k + 4. Solve -p*q + 3*q - 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -51*x - 110. What is d(-3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 7*r - 5*k = -13, -2*r = -2*k - 14. Suppose 0 = r*o - 14*o + 126. What is the lowest common multiple of o and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 - -5 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r + 132 + 103 = 0. Suppose 4*i + 5*t = 4191995, -7*i = -5*i - r*t - 2096005. Round i to the nearest 10000.\nAnswer: 1050000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-169)\/(-221)*34\/(-4))\/(2*(-5)\/180)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23955, -47863, -71771?\n\"Answer: -23908*j - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.26 - -54.74. Let d = -47.9 + j. Round d to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2811693233.\nAnswer: 37, 113, 672493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4013 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694024375.\nAnswer: 5, 11, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197479570?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -15*a**2. Let m(z) = 13*z**2 + 13*z**2 - 25*z**2. Determine w(m(u)).\nAnswer: -15*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32352367 a multiple of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 483054660*c - 11667090227385780.\nAnswer: -5*(c - 48305466)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/6 in -0.71, 5, 63\/4?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3146b7 (base 16) in base 15?\nAnswer: -43bcb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-12) + (-24)\/(-9). Let p be (6 + -5)\/(4\/(24\/21)). Let k = 92 - 97. What is the closest to p in 6, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 20 = -4*i, -3*x + x + 8 = 3*i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/9408035 + -27810112182\/184764399365. Let z = b - -2\/479. Find the common denominator of z and 77\/2.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11*85\/5236 + (-1)\/12. Let o = -36 - -35.94. Put -2, o, s in descending order.\nAnswer: s, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22cc8 (base 15) to base 14\nAnswer: -2c5a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (175 - 175 - 9*q)*(0 + 4 + 0).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*s - 184*s + 2*s**2 + 2*s**2 + 171*s**3.\nAnswer: 171*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15925668 is divided by 1327139.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1117 - 4731 + 1704 = 39*k + 73*k for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3098.7 - 3082.69875. Let f = u - 16. What is f rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.1 + 3826.61\nAnswer: 3830.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = p - 1709. Let r = p - 1226. Calculate the greatest common factor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 32*o + 2. Let i(k) = 4*k - 19. Let h(n) = -3*n + 18. Let p(x) = 3*h(x) + 4*i(x). Calculate the remainder when w(3) is divided by p(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 51 + -46 + (2 - 0) + 5?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13669401 rounded to the nearest 10000?\nAnswer: 13670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/25171608 and 92\/110187.\nAnswer: 226544472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -12. Let q = -13 - r. Solve -5*l + 3 = -3*u + q, 5*l - 7 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-149011)\/(-9) + (-118)\/(-531) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 264058172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3 + 2 + 13 + 6*j - 2. Let t = 3 + -5. Let y(s) = 2*s + 3. What is t*d(v) + 7*y(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5))**(-17)\/((z\/(z\/z**(-1\/2)))\/z)**(-10\/11))**(3\/13) assuming z is positive.\nAnswer: z**(69\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78818, -78819, -78818, -78815, -78810, -78803?\nAnswer: -78794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47.05 - -53.3. Let w = -0.15 - -1.45. Let x = w - u. Round x to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -2) + 2 - (-58 - 7 - (-7 + -2))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 50. Let x be 1 + v\/66 + (-4)\/8. Put x, 0.04, 4 in descending order.\nAnswer: 4, x, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -967 - -966. Suppose -2*o - k + 4*k + 21 = 0, -4*o - 5*k = 13. Suppose -2*a = -5*p + o*a + 30, 4*p = -a - 1. Put d, p, 3 in decreasing order.\nAnswer: 3, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1605253 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, 4, 3, 28, -3\/7 in descending order.\nAnswer: 124, 28, 4, 3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((10 - 18) + 9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1 + 174 = 5*k, -d = -2*k + 71. Calculate the least common multiple of k and 33.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6 = -2*p + m, p + 3*m = -6. Let t be p\/3 + (4 - (-573)\/(-35)). Let k = t + 29\/14. What is the common denominator of k and -61\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -551, -657, -779, -917, -1071?\nAnswer: -1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from rzelererere?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 23, -2, 4, 5 in decreasing order.\nAnswer: 23, 5, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 + 177. List the prime factors of q.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k. Let t(h) = 5*h - 3. Let i(m) = 4*m - 2. Let j(a) = -3*i(a) + 2*t(a). Give j(n(g)).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2201 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -14*f + 48. Let l(w) = -128*w + 1283. Let v be l(10). What is c(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9*c + 72. Let h(a) = 3. Let u(f) = 3*h(f) - y(f). Is u(-21) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(1 + 0 + 1)*(0*l**2 + 5*l**5 + 0*l**2 - l**5 - l**5 + 0*l**5 + (-l**3 + 2*l - 2*l)*(-3*l**2 + 5*l**2 - 3*l**2) - 2*l**5 + 0*l**2 + 0*l**2).\nAnswer: 8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3335367493364478 + -5.\nAnswer: -3335367493364483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-92)\/72)\/(-23)*-3. Which is the nearest to 6\/5? (a) -2 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 18 = 5*n + 40, -5*m + 3*n = -21. Suppose -107 = -2*s + m. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3118*x + 4381?\nAnswer: 3118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 635\/45 - 1 - 17\/(1547\/1820).\nAnswer: -62\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/108 + (-794)\/(-24). Calculate the greatest common divisor of h and 5907.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/8 of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-67936)\/(-99) + 4\/(-18). Is 686 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191 + 61 - 25*m**3 + 63 + 67.\nAnswer: -25*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 e when four letters picked without replacement from {f: 3, y: 2, e: 7}?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 5)*(-3 + 3 + 2*z) + 6*z + z - 5*z + 2*z - 3*z + 4*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 358378063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-12)\/(-3) - -19. Suppose o + 188 = 2*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 236874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105929173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert ca (base 13) to base 16.\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(-122)\/(-732).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t. Suppose -f + 4*a + t + 29 = 0, f + 2*a = 17. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/952376 and 83\/12?\nAnswer: 2857128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*i - 21. Let b = -5 - i. Sort 5, b, 0.\nAnswer: 0, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*((-1)\/2 + 290\/20). Let d = 14 - j. Suppose -3*v + 2*v = -4. Solve n + v*n - 20 = d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336, -343, -364, -405, -472, -571, -708, -889?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 3 - (-1 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1526 and 4242?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/17 (b) -8\/5 (c) 192 (d) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.23117 litres to millilitres.\nAnswer: 41231.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 235187 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(272) - (0 + sqrt(272))))**2*-2 + ((sqrt(2057) + 0 + sqrt(2057))*-6 + -5)**2.\nAnswer: 1320*sqrt(17) + 296233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**6\/45 + k**5\/30 - k**4\/6 - k**3\/9 + 2*k**2\/3 + 14*k. What is m in y(m) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swl when three letters picked without replacement from lleewwwlels.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 2. Let u(c) = 447*c + 36. Calculate 18*t(x) + u(x).\nAnswer: 465*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -719 or -718?\nAnswer: -718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 10:28 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -17*n**2 + 544*n - 27. Determine a(32).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1697 + -1654. What is the remainder when o is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z + 59*z - 192 + 38 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmx when three letters picked without replacement from xmxxxxxx.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k - k)*(3 - 5 + 1)*(2 + 1 + 6) + 2*k + 3*k - 4*k.\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 17?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/104 and 35\/156.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**5 - 30*b**4 + 387*b**3 + 2406*b**2 - 10104*b - 12096 = 0.\nAnswer: -14, -8, -1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 314654453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 74, 100, 132?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/3 - (-2)\/(-1). Let s = -5\/53 + 285\/212. Which is the nearest to x? (a) 0.5 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -782877*f**4 - 5160*f - 33 wrt f.\nAnswer: -9394524*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/12 and -31\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(52)*-2)**2 + (-5 + sqrt(1872) + 2)**2.\nAnswer: -72*sqrt(13) + 2089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**6\/75 - x**5\/50 + x**4\/15 - 19*x + 8. Let z(o) be the first derivative of h(o). Factor z(d).\nAnswer: -2*d**2*(d - 1)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.62 + -0.7. Let c = b + 1.08. Which is bigger: c or 3\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 5 (c) 2 (d) 0.8 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47001.\nAnswer: 3, 15667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233438 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*u - 3, -2*u - 16 = -j. Factor -d**4 + 4*d**4 - 2*d**2 + 0*d**4 + j*d**3 + 5*d**2.\nAnswer: 3*d**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 4104.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**3\/3 - 39*o + 57. Let n(x) = 20*x**2. Determine n(z(d)).\nAnswer: 20*d**4 - 1560*d**2 + 30420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5805 + -5746. What is the highest common divisor of 4543 and d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 340312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w. Let x be n(1). Solve -2*q = -0*q + x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*k - 7. Suppose 3*p - 40 = 5*f, 10 = 3*f - k*f + p. Sort 5, f, 1 in decreasing order.\nAnswer: 5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 425*g**4 + 60*g**5 - 425*g**4 + ((-2 + 1 + 2)*(4*g - 4*g - 2*g) + (-5*g + 5*g + 4*g)*(2 + 1 - 1))*(4*g**3 + g**4 - 4*g**3).\nAnswer: 66*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12409137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -735, 123, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 13*k**3\/3 + 2*k + 36. Let n(d) = -3*d. Give o(n(i)).\nAnswer: -78*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 + -97.6. Let t(m) = -m**3 + 6*m**2 + 9*m - 3. Let p be t(7). Let b be (p\/(-22))\/((-1)\/4). Sort -6, -3\/2, q, b in increasing order.\nAnswer: -6, -3\/2, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfu when three letters picked without replacement from ugvuhqvuuvhuf?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 11*m - 28. Suppose -10*j + 531 = -m*j + 3*t, -189 = -j + 3*t. 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 v(n) = 14*n + 11*n + n - 11. What is the tens digit of v(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 + -0.26. What is the smallest value in 2\/11, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.5. Suppose b - 4 = -0*b. Let w be ((-4)\/(-20))\/(b\/30). What is the second biggest value in 5, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a81 - -10?\nAnswer: a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33408210, 33408212, 33408216, 33408222, 33408230?\nAnswer: 33408240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 - (10 + -1 + -5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 2:49 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 368399, 368381, 368363?\n\"Answer: -18*x + 368417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**5 + 3*z**4 + 3*z**2 + 3. Let l(r) = -9*r**5 + 5*r**4 + 7*r**2 + 5. Let v(a) = 3*l(a) - 5*w(a). Find the third derivative of v(h) wrt h.\nAnswer: -420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/11 + (-954304)\/(-1741168). Let v = 2 - 3. Is v greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 9205*c**2 + 36832*c + 36836.\nAnswer: -(c - 9209)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 70462241 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: Suppose 3*y + 14 + 4 = -4*v, -4*y = v + 11. Let u = y + 6. Suppose -r - u*r = -i - 135, 0 = -2*i + 5*r - 265. Round i to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/27917670 and -21\/124?\nAnswer: 55835340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**2 - 3*z - 4. Let j(c) = -11*c**2 - 5*c - 8. Let s(n) = 9*b(n) - 4*j(n). Give s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-11)\/((-44)\/296))\/(-12). Which is the third smallest value? (a) 1\/5 (b) 1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + -1 + 3*sqrt(11) + -3 - -4*(sqrt(11) - (0 + sqrt(11) + -2))*-6.\nAnswer: -52 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.77 + -6.9. Let p = w + 0.13. Which is the smallest value? (a) -2\/15 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78965003 by 264097.\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 561 - 71857\/128. Let p = -100129 - -2202895\/22. Calculate the common denominator of t and p.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -23*h**8\/1680 + 8*h**4\/3 - 52*h**3\/3 + 2*h**2 + 1. Let n(b) be the first derivative of u(b). Differentiate n(f) wrt f.\nAnswer: -92*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90003 < -90004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 7*g + 13 = 4*m, 0 = -5*m - g + 21 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 2*b = -200. Let s(v) = -v**2 - 34*v - 29. What is the hundreds digit of s(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115*z - 32*z + 15*z)*(1 - 1 + 2).\nAnswer: -264*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxx. What is prob of picking 2 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**5 - 14452*p**4 + 13089840*p**3 - 65146048*p**2 + 52070656*p = 0 for p.\nAnswer: 0, 1, 4, 1804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**5\/60 + c**4\/24 + c**3\/2 - 10*c**2. Let m be u(0). Suppose 0 = n + m*n - 128. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3808\/15 or 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-15)\/3))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 10) to base 7\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.10749 and -7773.\nAnswer: -7780.10749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 24*x = 14*x - 819 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((3*sqrt(1600) - sqrt(16))\/(sqrt(200)*-1 - sqrt(200)))**2*3.\nAnswer: 2373\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7098, 7095, 7092?\n\"Answer: -3*d + 7101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-2)\/(-234)*750\/25?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - -0.07. Let w = 1 + 0.1. Let b = y - w. What is the nearest to b in -4, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -151 - -156. Solve l*g + 752 - 712 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1355\/35 - -1 - (-2)\/7 and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(5\/(-90)*-3). Let c(l) = -20*l - 116. Let j be c(k). What is the biggest value in 26, -3\/7, j?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1410543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 5*x**2 + x - 1. Give u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -245267556 + 1?\nAnswer: -245267555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epxxxxxppxxnp. Give prob of sequence xx.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409*i + 4 + 5*i**2 - 2 + 324*i.\nAnswer: 5*i**2 + 733*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 1, k: 4, q: 3}. Give prob of picking 2 q and 1 g.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 2 - 1523*g + 1521*g.\nAnswer: -2*g - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110 (base 2) in base 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44\/62289919 or -1?\nAnswer: 44\/62289919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -182, -177, -172?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3 = -2*n, 3*n + 8 = a + 23. Let o = -164 - -173. List the prime factors of (o\/(-2))\/(n\/(-8)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/175 and -6\/550375?\nAnswer: 550375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 4*j. Let l = 5 - j. Let o be 8\/(-6)*(-1)\/4. Which is the nearest to o? (a) l (b) -3\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 4*j**2 + j**2)*(-2 + 4 + 1)*(-3*j + 4*j + j) - j**3 + j**3 + j**3.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-18) + (-12)\/(-54))\/(-2). Find the second derivative of k*g - 10*g**2 + 10*g**2 + 6*g + 20*g**3 - 3*g**4 wrt g.\nAnswer: -36*g**2 + 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 0, -12, -22?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 183730*b + 1687835645.\nAnswer: 5*(b - 18373)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00749 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 83*z**2 + 133*z - 533. Let o(v) = -27*v**2 - 44*v + 178. Let l(k) = -2*n(k) - 7*o(k). List the prime factors of l(5).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from {m: 1, a: 1, y: 1, n: 2, h: 2, c: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 7:29 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 5*b**3\/3 + 5*b**2\/2 - 5*b + 507. Let w be (2 + -2 + -1)*5. Let g(c) = -2*c**2 - 3*c + 3. Calculate w*g(o) - 3*p(o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, -0.14, 3828, -11, 0 in descending order.\nAnswer: 3828, 2, 0.3, 0, -0.14, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13211 + -150?\nAnswer: 13021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6130, -49112, -165802, -393064, -767762, -1326760, -2106922, -3145112?\n\"Answer: -6144*k**3 + 10*k**2 - 4*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 14*a**2 - 33*a + 4. Let s be o(-16). Suppose 60*r = 65*r - s. Solve 5*p + 45 = -5*f, r*p = -0*p - 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -31859 bigger than -31800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -802 - -813. Solve -w*a - 16 = 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*8\/24?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 30*l**2 + 13*l - 21. Let c be u(30). Let j = -265 + c. Calculate the highest common divisor of 143 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -14*j + 9. What is o(-4)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 1 + 15. Let q be 0\/(8\/((-16)\/l)). Suppose q = 4*k - 5*i - 300 + 2, k = -4*i + 64. Calculate the highest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 448012512 divided by 2\nAnswer: 224006256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l + 2*l)*(3*l - 3*l - 3*l) - 3*l - 8*l**2 + 3*l.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(2*sqrt(810)) + 5 + (0 + sqrt(300) - (sqrt(3) + sqrt(3)*-2)*1) + 5 + 3)**2.\nAnswer: 2587*sqrt(3)\/9 + 57853\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.688, 0.1, -0.9, -5, 0.4, 0.33?\nAnswer: 0.688","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 15907*j. Let z(m) = -95*m. Determine z(k(o)).\nAnswer: -1511165*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*n + 268, -n = k + n - 96. List the prime factors of k.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 18 - 2. Let o = -1 - -2. Let v = w - o. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39.6011 - 1.3989. Suppose q + q + 2*j = 8, j - 4 = 0. Which is the closest to 1\/2? (a) o (b) 3\/2 (c) -3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117493074 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by -1956154.\nAnswer: 39\/978077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*o**2 + 3307*o - 13456 wrt o?\nAnswer: 18*o + 3307","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 44\/13*y - 8\/13*y**3 - 241 - 9\/13*y**2 - 1\/26*y**4. Factor v(c).\nAnswer: -2*(c - 1)*(c + 2)*(c + 11)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 12*m + 22. Let d be v(-9). Let k(y) = y**2 + 2*y + 3. Calculate k(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 10*k**2 + 110*k + 8239. List the prime factors of r(-69).\nAnswer: 48259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 6*p = 8*p. Solve p = 3*q - 0 + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.6340614 * 5\nAnswer: 13.170307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Let g be ((-320)\/k)\/(4\/18750). What is g rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003809 to seven decimal places.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/2640 and -47\/14245.\nAnswer: 683760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, p: 8, e: 6}. What is prob of sequence eyy?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5)*80\/12*234\/1456\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/5)*x**2)\/(x\/x**(-1)*x*x)**(-23))\/(x**(-2\/9)*x\/(x*x\/(x*x\/(x\/(x*x**(5\/7)\/x)))))**(-21\/5) assuming x is positive.\nAnswer: x**(1438\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -81*l + 1180. Calculate s(18).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*g - 50 = 0, -2*m - 3*g = 12 + 15. Let d be m*(-3)\/(3\/1). Solve d*u = 2*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1279*w - 1567 + 15636 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 9319?\nAnswer: -9317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6726*o**3 + o**2 - 3*o - 1. Let d be c(3). Let t = -291603 - d. What is t rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeejejeeje. What is prob of picking 2 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - 10*v + 11. Let a be x(6). Let d = -20 + a. Solve -8 = -d*r - r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -160053751 or -160053750?\nAnswer: -160053750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1724368 and 0.2.\nAnswer: 344873.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 8:55 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -3\/2 (b) -0.01 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1799088?\nAnswer: 2, 3, 37, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 627, 1240, 1841, 2424, 2983, 3512, 4005, 4456?\nAnswer: 4859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11147 or 100336\/9?\nAnswer: 11147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j - 4. Let u be j\/14*268037\/12. Let o = -6403 - u. Find the common denominator of o and 49\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/2090 and 10\/33?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-7.87\nAnswer: -4.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -3, 0.02, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -188 + 190. Let g be 10 - -1 - (2 - 1). Suppose -3*m - 2*m + g = 0. Solve 0 = 3*t - r*b, 7*t - 3*b = m*t + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*w - w + 28, 0 = -4*w + 4*n + 28. Let j(q) = 4*q + 13. Let x(s) = 9*s + 2. Calculate the remainder when j(w) is divided by x(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(474 - 474 - 8*y).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/3846888 and 107\/979296?\nAnswer: 1554142752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 2\/15, -6\/499, -1829, 2\/7, 3\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-11)\/(-22)*-2. Put -0.5, p, -4, -45 in increasing order.\nAnswer: -45, -4, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 368.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + 33*m + 1. Determine r(-16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77348 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(32))\/sqrt(2))\/sqrt(8))**2 + (4*-2*sqrt(2))**2 + (sqrt(12)\/(sqrt(24)\/sqrt(4)))**2.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8 = -3*q + 4*q, 0 = 4*q - 16. Solve 5*m = 25, -22 = -f - u*m - 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.2.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 186098\/(-363)*15\/10. Is a > -766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 3 - 3)*(-2*r**3 - 2*r**3 + r**3) + (-5 - 2 + 6)*(30*r**4 + 418*r**3 - 418*r**3).\nAnswer: -27*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**2 - 3888*w - 3892 = 0.\nAnswer: -1, 973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2\/6 - 5078045*t\/6 + 55015675.\nAnswer: -5*(t - 65)*(t + 1015674)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 102*z - 119*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/2 and (21\/(-30))\/((-1 - 1)\/36)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25\/111 - 1\/333. Suppose -21 = -4*n - 5. What is the nearest to -2 in p, n, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/29 or -42307\/753?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7725723 + 7725723 - 2*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 11:54 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4909 - (5 + -12) - -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -61 + 5*h**3 + 68 + 2*h - 6*h**3 - 7*h**2. Give u(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, u: 7}. Give prob of picking 2 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1339*s + 1312*s + 621 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 16. Let u(t) = t**3 + 7*t**2 + 5*t - 4. Let i be u(-6). Solve -4*v + i*v + z = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -961*h - 155. Let y(s) = -37*s - 6. Let t(v) = 6*m(v) - 155*y(v). Is t(-2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 - 29. Let g = n + -24. Let d = g + 11.99999976. What is d rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8*(12\/10)\/((-2)\/(-10)). Suppose -o = -16*g + 12*g. Suppose -77*q + 80*q = g. Solve y = 5*y + q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 187\/2, 2, 0.2187, -4, -5, 1 in descending order.\nAnswer: 187\/2, 2, 1, 0.2187, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.34 - -0.14. Which is the second smallest value? (a) 0.4 (b) s (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5829?\nAnswer: 3, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7 - 2*i**3 + 7*i + 3*i**3 + i**2 - 7*i**2. Let j be l(5). Let c be 198\/135 + 2\/(-3) - 24\/(-20). Solve -5*y = c + j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v + 12 = 0. Let r = v + 9. Let y = r - 4. Let g(u) = -10*u - 1. Give g(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 550 * -1.4\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -75136643?\nAnswer: -75136643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-661)*(-2)\/(-3). Let t be ((1032\/85269)\/((-42)\/(-943)))\/((-12)\/(-98)). Let z = t + s. Find the common denominator of z and -149\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68707.84897 + 69031.8489947. Let p = 324 - n. What is p rounded to 6 dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/2 + -4 + 1. Let w(k) = -k**2 + 1. Let t(q) = -2*q**2 + 5. What is j*w(b) + t(b)?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45612\/724*((-12 - -8)\/(-28) - (-2 - -1))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**3 - 332*w**2 - 4*w. Let s(d) = -17*d**3 - 995*d**2 - 13*d. Give 10*r(u) - 3*s(u).\nAnswer: u**3 - 335*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g - 8. Let x = -351 + 361. What is the smallest common multiple of f(8) and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-162 - -89) + (9 - (4 - 7)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-84)\/10 + 24\/60.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -6 - (-15)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 18. Let f be n(-2). Let j be (165\/f)\/(12\/16). What is the greatest common divisor of j and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 12, q: 3, g: 1}. Give prob of picking 2 l and 1 q.\nAnswer: 99\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o - 2. Let b(z) = 3*z - 2. Let j(s) = -3*b(s) + 2*g(s). What is the derivative of j(d) wrt d?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*n**3*p**3*x + 9*n**3*x + 24*n**2*p + 4*p**4 + 2*p**2*x + 24*x wrt p?\nAnswer: 192*n**3*p*x + 48*p**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -433 (base 6) in base 5?\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -19.99952. Round m to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6286574944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, 3, -10, -39, -90, -169, -282?\n\"Answer: -d**3 + d**2 + d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 287, 779, 1697, 3185, 5387?\nAnswer: 8447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*n, 2*m = -n - 3 + 9. Let l = 26 - 45. Let g be l\/39 + 1\/3. Which is the biggest value? (a) m (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**6\/24 + o**5\/60 - 8*o**2. What is the third derivative of a(d) wrt d?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 489, 939, 1387, 1833, 2277, 2719?\nAnswer: 3159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54246.02g in micrograms?\nAnswer: 54246020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/2)*t)**(-47) assuming t is positive.\nAnswer: t**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) + (-10)\/(-4). Suppose -3*t = -x*g + 141, 5*t + 39 = 2*g - 55. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6773.556m to nanometers.\nAnswer: 6773556000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7070 - -15006. Let i = s + -12767. Let o = i + 2841. Round o to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*g - 9*g + 39*g + 107*g + 69*g.\nAnswer: 414*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3 - 25) + 0?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 126471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -44*y**2 + 77793*y - 1776. Calculate k(1768).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 1 + 11 + 12 - 118*p - 36.\nAnswer: -118*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 0 - 3*j + 0. Let h(l) be the second derivative of -5*l**4\/12 + 83*l. What is h(g(u))?\nAnswer: -45*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2202816 and 158928.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/5, 10, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45267 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1276 - -907. Are 7 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 22071 + 140757. Suppose -s - 15342 = -9*z. Suppose 6*p - 62 - z = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -w - 2 + 13, 0 = -w + 5*u + 13. Let p be ((-3)\/(-4))\/((-1)\/w). Let a(i) = i**3 + 5*i**2 - 6*i + 2. What is a(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 19*m + 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, o: 3, t: 2, h: 1, r: 1, v: 5}. Give prob of sequence ovf.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2950 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 10*t**2 + 71*t - 17. Let r be v(-9). Calculate the highest common factor of 693 and r.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18688 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - ((-2 - -1) + -9 - (-2081 - -2013)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*q - 4)*(-1 + 1 + 1)*(14 - 1 + 2).\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69761.56 nanometers to micrometers.\nAnswer: 69.76156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -3\/40*u**6 + 11\/8*u**4 - 39*u**2 - 3*u**3 + 1\/70*u**7 - 3\/20*u**5 + 0 + 0*u. Factor k(v).\nAnswer: 3*(v - 3)*(v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/24 - 6\/(-24). Let j = -332\/805 + 2\/161. Let l be 1 + -3 + 28\/8. Put j, l, g in decreasing order.\nAnswer: l, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 511*r*z**2 - 4*r*z + 41488*r - 1174*z**2 - z - 3 wrt z.\nAnswer: 1022*r - 2348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3063, 3081, 3099, 3117, 3135, 3153?\n\"Answer: 18*m + 3045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - 3)*(-1)\/(-1). Suppose 2*n + 0*n - 68 = 0. Suppose 0 = 2*c - 3*h + 17, -5*c = -k*h + n - 2. Let u(j) = -j + 4. Give u(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -21*x**3 + 100*x + 21. What is the first derivative of o(t) wrt t?\nAnswer: -126*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 10 + -9 + 6. Let t(x) = 8 + 0 - w - 2*x. Give t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*p - p. Suppose 4*l - 5 = i, 59*l - 64*l - 2*i = -3. Which is the third biggest value? (a) l (b) 18 (c) 5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + -7.05. Let n = 6.6 + i. What is the nearest to -2\/3 in 1, n, 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ped when three letters picked without replacement from pedppeepedppdepd.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-28)\/(-16))\/(-7) + 45\/84. What is the closest to -0.6 in 2.3, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -37*r**4 - 2 + 68*r + 80*r**4 - 202*r**5 + 207*r**5 - 23*r**2 - 73*r**3 - 18 = 0?\nAnswer: -10, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 4) + (-6 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116015 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z + 1. Calculate t(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/(-425)*(-10)\/((-6)\/(-3))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -921 - -4717. What is the greatest common factor of 52 and c?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53*p - 47*p + 71*p)*(0*p + 0*p + 2*p) to j + z*p + r*p**2 and give r.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32956540, 32956539, 32956538, 32956537, 32956536?\n\"Answer: -p + 32956541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 + (-1782)\/220 + (3\/5 - 1). Suppose 2*q = 2*h - 0 - 4, h - 2 = -4*q. Factor 3\/8*j**h + 3\/2 + y*j.\nAnswer: 3*(j + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5859585889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x + 1. Let p be c(3). Let g be 5*3\/(-30)*-4. Suppose z - p = -g. Solve 5 = -5*k - z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 304 and 22.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 13 = -a, -2139*a = 4*m - 4284*a + 2139*a + 60 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 392.2773.\nAnswer: 393.2773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18077000 rounded to the nearest one hundred thousand?\nAnswer: 18100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g + 150 = -39*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218731292?\nAnswer: 2, 13, 323567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i = -26*i - 429. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Suppose 4*x - 5*i - 66 = 2*x, 5*x = d*i + 186. Suppose 5*n = -5*a + 40, 5*a - a - 19 = -3*n. Calculate the remainder when x is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)\/sqrt(5))\/sqrt(11) - (sqrt(5) + (sqrt(90)\/sqrt(2) + sqrt(45))\/sqrt(9)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 a, 1 y, and 1 x when four letters picked without replacement from {y: 2, a: 6, l: 1, u: 8, x: 1}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133164740?\nAnswer: 2, 5, 17, 391661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*i + 31 = 0, -2*q = 3*q + 4*i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -17.8. Let m = x - 0.2. Sort m, -0.4, 3 in increasing order.\nAnswer: -0.4, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420.0252um to kilometers.\nAnswer: 0.0000004200252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 less than 0.07075?\nAnswer: 12.07075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 20955*x + 11040570.\nAnswer: 5*(x + 618)*(x + 3573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -39. What is the highest common factor of 10 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -703 - -372. Let f = 324 + q. Does -13 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 5, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.35216 millennia to months.\nAnswer: 460225.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11954259 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2651 and 583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 115892 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-30))**26 assuming b is positive.\nAnswer: b**(-780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-1684\nAnswer: 50.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1976.18842 and -0.0531.\nAnswer: 1976.13532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166 - 65 + 103 = -16*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 6*b**2 - 5*b - 5. Let x be h(6). Let r = 71 + x. Let q(w) = 18*w - r*w**2 + 17*w - 35*w. Let k(t) = 3*t. Calculate k(q(d)).\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.27? (a) -1564 (b) -1 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 6*p - 38*p**2 + 2 + 23 + 2 + 2*p.\nAnswer: -38*p**2 + 8*p + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300831 is divided by 14966.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3454, 6888, 10314, 13726, 17118, 20484, 23818, 27114?\n\"Answer: -b**3 + 2*b**2 + 3435*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(88\/16)\/((-1)\/(-1)). Sort -4, p, -5, 3 in ascending order.\nAnswer: -5, -4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z - 31 = 3. Suppose 5*y - 2*y - 7 = -r, 25 = 5*y + 5*r. Solve v = z - y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2239\/24 + 281\/3. Suppose 22*p - 118 = 960. Let d be (6\/(-21))\/((-56)\/p). What is the nearest to d in -2\/13, -2\/17, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53.7579579*5\nAnswer: 268.7897895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9463030686 to three dps.\nAnswer: 0.946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-12) - 7\/((-168)\/(-514446)). Let f(q) = -q - 11. Let k be f(-6). Let b be (-250)\/(-4)*(y + k). Round b to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.42 times -5\nAnswer: 7.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -27855119\/7 at least -3979304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 605, 1213, 1835, 2477, 3145, 3845, 4583, 5365?\nAnswer: 6197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(-22) + (-33)\/(-6). What is the remainder when ((-117)\/52)\/(z\/(-184)) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21949542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*s**3 - 15*s + s + s**4 + 3*s + 13*s - 14*s**2 to the form y*s + p*s**4 + q + h*s**2 + d*s**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2953776*w**6 - 2*w**4 + 2*w**2 + 2084318*w wrt w?\nAnswer: 354453120*w**3 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 - (2\/(-6) - ((-281)\/18 - -9)) and 8\/137.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000134214243 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 1\/(2\/(-2)). Let a be -1 + (-6)\/(-3) - n. Suppose 0 = 2*z - a*b - 72, 0 = 5*z + 4*b - 54 - 153. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14\/167 - -2183\/24048. Let b(m) be the third derivative of 0*m - g*m**4 + 0 - 1\/720*m**6 + 1\/180*m**5 + 3*m**2 + 0*m**3. Factor b(r).\nAnswer: -r*(r - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23569 <= -23493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-84)*7*2*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*v + 62 = 5*g, 38 = 2*g - 5*v. Suppose -122 + g = -4*h. Calculate the greatest common divisor of h and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 7, f: 3}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.3 + -9.3. Which is the nearest to 0.4? (a) z (b) 0.5 (c) 14\/3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -9 and 13.171 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 70*l + 891. Give c(13).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3457 = 34*o - 1711. Suppose -4*l - 4*a = -o, 5*l - a - 168 = 10. What is the remainder when 124 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1100938\/15 or 73395?\nAnswer: 1100938\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 10*r = -11*r + 10, -r + 16 = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3043 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.3, -0.2, 26.1, 0.2?\nAnswer: 26.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1152352 is divided by 287?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 2)*(17*j + 189 - 189)*(-j**3 - 2*j + 2*j).\nAnswer: -68*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from {j: 4, h: 2, t: 6, w: 2, v: 3}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 18*r - 15. Let l(g) = -g + 1. Let z(x) = -k(x) - 15*l(x). Let a(y) = -94421 + 94421 - 3*y. Calculate z(a(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 23. Let i be 18\/x - (-2 - -1). Solve 5*u - i = 0, -u - 4 = -0*t - 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 6 + -2 + 26 + -8 + -23 + -118.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**(-4\/3)))**3\/(x**(-15)\/x*x**(2\/21)))**45 assuming x is positive.\nAnswer: x**(5325\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*u**2 - 60256575*u - 34432340 = 0. What is u?\nAnswer: -4\/7, 1721617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 1 = -21. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2816 = 48*f - 56*f. What is the highest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2604084 is divided by 1302032.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 + 156. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 = 3*l. Suppose -20 = -2*p - l*r, p = -4*p + 5*r + 50. Suppose -p = -4*j - 2. Solve -k = -j + 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.017 + 14.383. Let x = -14.400159 + y. Round x to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5299539121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1276*m + 1228*m + 240 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 3, x: 5, a: 2, p: 7}. Give prob of sequence xs.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/5 - 132*d**2\/5 - 1152*d\/5 - 1024\/5.\nAnswer: -4*(d + 1)*(d + 16)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001395 rounded to 7 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 5*c + c**2)*(-20*c**2 + 6*c**2 - 10*c**2).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 27 - 104 = -5*d, -b = -3*d - 20. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, -1, -48, -145, -310, -561, -916, -1393?\nAnswer: -2010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1721 - -2640. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*i + 1390 = 0, -13*i + 10*i = 2*o - 2785. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.351714918 rounded to four decimal places?\nAnswer: -0.3517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 - 4582 = 3*d - t, 5*d + 2*t = -8254. Let f = -1108 - d. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 170*f**2 + 2342*f - 2645. What is r(155)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*j**4 - 2*j**2 - 2 + 12*j + 30*j**4 + 2 - 11*j as t*j**4 + w*j**2 + h*j**3 + c + x*j and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1153*s**4 - 3075*s**2 - 363946*s + 157 wrt s.\nAnswer: 13836*s**2 - 6150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24810515.\nAnswer: 5, 29, 397, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 8 + 1 = 0. Let u(g) = -g**2 - 7*g + 5. Calculate the remainder when u(-4) is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 21*h**3 + 31*h**2 - 4*h + 4. Let c(n) = 20*n**3 + 30*n**2 - 3*n + 3. Let u(o) = -4*c(o) + 3*x(o). Find the third derivative of u(w) wrt w.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96052 and 396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 8\/51, 0.7, 1\/5, -31\/12 in increasing order.\nAnswer: -31\/12, -3\/8, 8\/51, 1\/5, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/6 - (5 - 1628\/363). Which is the biggest value? (a) 1 (b) -8 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*h - 29*h - 12. Suppose 0 = l - h*u + 9, 0 = -l + u - 5 + 2. Is l at most -1\/257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o - 24. Suppose -11*n + 11 = -33. Let y be x(n). Solve 6 = -i + y*l, 3*l - 1 = 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (29\/(-5) + 4)\/(6\/30). Let v be (1*-3 - y\/3)\/(-2). Factor 2\/3*n**3 - 2*n + v*n**2 - 4\/3.\nAnswer: 2*(n - 2)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/5, 4, 1, -5 in ascending order.\nAnswer: -5, 1\/5, 0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(847) + sqrt(847) + sqrt(847) + -1 + -4 - sqrt(847) - (-5 + (1 + sqrt(847) - sqrt(847) - sqrt(847))) - (-6*2*sqrt(847) + -1)))**2.\nAnswer: 190575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/8148 and 47\/27.\nAnswer: 73332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 6*d = -75, 16*f - 1 - 1 = 20*f - 2*d - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*y - y = 25, 3*z = -5*y - 25. Let q = z - -1. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*q + 3 = 0, 4*i + 3*q - 18 = 5*i. Let w be ((-18)\/(-4))\/(i\/12). What are the prime factors of (20\/6)\/((-4)\/w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 11*j**4\/2 - j**3 + j**2\/2 + j + 12. Let o be z(-1). Let c = 147 - o. What are the prime factors of c?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**6\/60 - 3*o**5\/10 - o**4\/8 + 17*o**3\/6 + 6*o**2 + 102*o. What is a in g(a) = 0?\nAnswer: -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*b + 2. Let i(l) = 7*l + 0*l - b*l. Let h(n) = -14*n. Let s(v) = -9*v. Let y(z) = -5*h(z) + 8*s(z). Determine y(i(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.064 rounded to 1 dp?\nAnswer: 13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, y: 6}. What is prob of sequence ff?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*x**2 + 1\/8*x**5 - 3\/8*x**4 + 1\/8 + 1\/4*x**3 - 3\/8*x.\nAnswer: (x - 1)**4*(x + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -357688.52 and 4?\nAnswer: 357692.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19691105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.23404 from -0.05.\nAnswer: 0.18404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/1)\/(12\/(-24)). Let c be q\/8 + -62*9\/(-72). Let r(m) = m**3 - 8*m**2 + m + 3. What is r(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d\/d**(-8)*d)**29)**(-31))**(-49))**(-43) assuming d is positive.\nAnswer: d**(-20836123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/5, 1, 4\/93, -2\/5, -7\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 648*0.785.\nAnswer: 508.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j - 1 - 23 + 2*j**2 + 2*j to q*j**2 + k*j + a and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.978817 seconds to microseconds.\nAnswer: 5978817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -103*i**2 - 141*i + 87. Differentiate u(k) wrt k.\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5 + 1 = 0. Suppose -m + 45 + 15 = -5*d, -5*d - 95 = -o*m. Let j = -33 + m. Solve -6*f - 8 = -j*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3873, -1\/3, -447?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28, 6, -1\/110, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20284 and 646783?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1702, -5\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 4*a + 4. Let c be o(4). Suppose 0*l = 3*s - 4*l - 198, 4*l - 292 = -c*s. Is (s - 0) + 0 + -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -839*f**2 + 4316*f**5 - 234*f**2 - 2241*f**5 wrt f?\nAnswer: 124500*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 20*l**4 + 17*l**3 + 47*l**2 - 17. Let u(i) = 7*i**4 + 6*i**3 + 16*i**2 - 6. Let x(j) = 6*m(j) - 17*u(j). What is the third derivative of x(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98*p**5*u + 4*p**4*u + 31*p**3*u + p**2*u - 792*u wrt p?\nAnswer: -5880*p**2*u + 96*p*u + 186*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 4*z - 600. Let q be (4\/(-10))\/(12\/z). Factor q + 39*u**3 + 80*u**4 + 24*u - 11*u + 165*u**2 + 161*u**3 + 37*u.\nAnswer: 5*(u + 1)**2*(4*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/2 + 204*f + 20808 = 0. What is f?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -47*d + 4. Let l(h) = 5. What is -3*l(p) + 3*o(p)?\nAnswer: -141*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 3, b: 3}. What is prob of picking 1 f and 1 a?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 - 57.3003?\nAnswer: -57.1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -200430131 (base 5) to base 14\nAnswer: -169d74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 382 + -386. Let t be p - (2\/2 + -9 + 3). Calculate the greatest common divisor of 4 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32640.47 to the nearest 10.\nAnswer: 32640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21317527 + -26?\nAnswer: 21317501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c6 - 184?\nAnswer: -24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 12*p + 1 - 8*p + 2*p. Determine k(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18305 and -0.5.\nAnswer: -9152.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/6 + 587*v**3\/6 + 589*v**2\/2 + 1769*v\/6 + 295\/3.\nAnswer: -(v - 590)*(v + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*r + 162*r + 147*r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((-10)\/(-20)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1400 (base 7) to base 10.\nAnswer: -539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780 - 786 = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1673 = -2587. What is the common denominator of -31\/30 and r\/(-1134) - 6\/(-21)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)*r**0)\/(((r*r**(-17)*r)\/r)\/r**(-2)) assuming r is positive.\nAnswer: r**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 203 and 1280548.\nAnswer: 259951244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*o - 10 + 2, -4*f = o - 2. Solve 4*q - 22 + 10 = x, -4*x = o*q + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3 - 2) + 5 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -686, -772, -932, -1202, -1618, -2216, -3032?\n\"Answer: -6*u**3 - u**2 - 41*u - 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65760 and 169920?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -86*-1.4\nAnswer: 120.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20671 and 83363?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gegtgttgggtgttg. Give prob of sequence eg.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 c, and 1 k when three letters picked without replacement from xcbxkxcmxmmxbbkc.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280) + sqrt(1280) + ((-2*sqrt(1280) + sqrt(1280) - sqrt(1280)) + sqrt(1280))*3)\/(1*sqrt(360)*-2).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 156 divided by -4\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126752 and 33660?\nAnswer: 62742240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1444*g + 1444. Let w be d(1). Which is smaller: 2637\/10 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c = 29*c - 121 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -288 + 288. Let z(c) be the second derivative of -1\/42*c**4 + 0 - 7*c + h*c**3 + 0*c**2 + 1\/35*c**5 - 1\/105*c**6. Factor z(r).\nAnswer: -2*r**2*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 62368.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10*((4 + -3)*-1)\/(-2). Let o(z) = 4*z - 11*z + j*z + 0 + 2. Determine o(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5582122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 62257498829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: What is the ninth root of 11490 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*x + 16, 2*w + 5*x = 13. Let o be 6\/w - 150\/(-42). Solve 4*y = -5*a - 16, -3*y + 15 + 4 = -o*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 5. Suppose 3*i + n = 15. Let a = -306 + 339. Calculate the highest common factor of a and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12764971403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19824 - 18192. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = j - 32. What is the remainder when j is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*((sqrt(112) + (-2 + sqrt(112))*2)**2 - (-5 + (-2 + sqrt(112))**2))*-2.\nAnswer: -5478 + 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130*w**5 - 18 + 22 - 1 - 57*w wrt w?\nAnswer: -2600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - (sqrt(190) + 2*sqrt(190)) - sqrt(190)) + sqrt(190))*-4 - (sqrt(190)*2*3 + sqrt(190)))\/(sqrt(70)\/(sqrt(7) + sqrt(56)\/sqrt(2))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3283891, -3283973, -3284055, -3284137, -3284219, -3284301?\n\"Answer: -82*z - 3283809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4 + 1*sqrt(1573) + -3 - 1*-3*-2*sqrt(1573))**2 + -4).\nAnswer: 770*sqrt(13) + 39370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2524383.\nAnswer: 3, 280487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 655084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 11*r**2 - 13*r + 28. What is the remainder when 31 is divided by d(12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-175)*10*1\/2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 661797926 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 508531603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -126 - 2\/9*o**2 - 16*o.\nAnswer: -2*(o + 9)*(o + 63)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -358 + 356 + 0*f - 3*f + 2*f**3. Determine d(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 536 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 23 + 2 = -5*q, -5*i = -2*q - 10. Let p(v) = v**2 + 7*v + 1. Let t be p(-7). Sort t, i, -4, 3 in increasing order.\nAnswer: -4, i, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (115\/92)\/((12\/(-16))\/(-3)). What is the closest to 6 in -0.5, -0.1, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 + 3)*(4 - 2 - 4)*(4 - 4 + 2*b) in the form h*b + z and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 1 + sqrt(3))**2 - (sqrt(147) + 0)**2.\nAnswer: 22*sqrt(3) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**2 - i**2 + 2*i**2 + i**3 + 3*i**2 + 6*i. Let b(y) = y**3 - y. Let c(z) = 6*b(z) + g(z). Find the third derivative of c(t) wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 18*d = -76. Let l be (-4)\/d*(-4 + -1 - -9). Solve 8 = -0*i + l*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -50 + 943e2?\nAnswer: 94392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*t - 0*x + 6, 3*t + 5*x + 10 = 0. Suppose t = -2*k + 2*m + 12, -k = 3*m - 1 + 7. Solve 1 = 3*o - o + 5*a, k*o - 5 = -4*a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9161719 and 4.\nAnswer: 36646876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -42. Let w(q) = q**2 - 3*q + 7. Let r be w(7). Let p be ((-63)\/r)\/(3\/(-10)). What is the greatest common divisor of p and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8927909 months in centuries?\nAnswer: 0.00157732575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 207?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19559, 38880, 58249, 77690, 97227, 116884, 136685?\n\"Answer: 4*y**3 + 19293*y + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/3)\/(3*(-4)\/(-36)). Suppose 2*m + 3*j + h = 0, -2*m + 4*j - 7 = 15. Let b be 1\/4 + (-33)\/4. Is b bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 6, -5, 8, 1161, -4 in ascending order.\nAnswer: -5, -4, 1, 5, 6, 8, 1161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)*(h\/h**(1\/6))\/h)\/(h\/(h\/h**(-1))*h)**36*(h**(1\/4)*h)**26\/(h*h*h\/(h*h*h**(1\/5)*h)*h**0) assuming h is positive.\nAnswer: h**(398\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1417 + -1417.0693. Let r = s - -0.06929477. Round r to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-241)\/((-12050)\/(-4400)))\/(6\/(-3)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 589505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**3 + 101*x**2 + 36*x - 65. Let k be q(34). Sort k, -20, -5, 1, 2.\nAnswer: -20, -5, 1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 104.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*b + 2*t, 2*t - 22 = -24. Solve 0 = 2*c + 4*d + 18, b*c + 6*d + 17 = 2*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25766429543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*s + 11816453 = 2481953. Round s to the nearest 1000.\nAnswer: -191000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 7164713 - 151204713 = 0. What is b rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1321*y + 108. What is the least common multiple of k(2) and 1?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 9260*a**3\/3 + a**2\/2 - 12269*a - 6808. Differentiate d(f) with respect to f.\nAnswer: 18520*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 35*x**2 + 73*x - 100. Calculate the smallest common multiple of 308 and i(36).\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104 by -2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 8900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 473274 and 210344.\nAnswer: 1893096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32\/5 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.6745549 to one dp.\nAnswer: -12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 - 57. Which is smaller: 21 or c?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 644 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498173.516ns in weeks?\nAnswer: 0.00000000247713875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f + 50. Let h be d(-8). Factor 256\/5*k**4 - 256\/5*k**3 + 96\/5*k**h - 16\/5*k + 1\/5.\nAnswer: (4*k - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20, -1.0416, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llptpplltltpl. Give prob of sequence pl.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3 + m + 4 + 6*m**2 - 2*m - 2*m**2. Let c(g) = g**2 + 1. Determine 6*c(w) - h(w).\nAnswer: 2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 235.8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m, -4*k - 5*m = 12. Let b = -13\/20 - -3\/20. Sort k, 3, b in descending order.\nAnswer: 3, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267957873 to the power of 1\/3, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - 3*n**3 + 3*n**3)*(-7 + 0 + 0)*(-5 + 2 + 2).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.5 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2 = -30. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -72. Suppose -y*c + 45*c - 56 = 0. Solve -2*z - 12 = -5*z, 5*z = 3*g + c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2486657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 13*t + 18. Let i be s(14). Suppose 3*c + i*x = 14, 4*x - 6*x - 6 = -5*c. What is the first derivative of 2 - 3*l - 6 - 6 + c wrt l?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 - 1 = 0. Let h be (-5)\/(w\/2) + -3. Which is the biggest value? (a) h (b) -1\/2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 0*n. Suppose 47*f = 204*f + 83*f - 2640. Solve n = -6*w + f*w + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 2*y + 12. Calculate q(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)*l)\/l**(-1\/7)*((l\/((l\/(((l**(-3\/10)*l)\/l*l)\/l*l))\/l))\/l*l)\/l*l*l**(2\/7) assuming l is positive.\nAnswer: l**(79\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*u = -63, -4*u - 42 = -2*f - 0*u. What is the remainder when 82 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/7))**25)**(-14)*((m\/m**(-2\/3))\/m*(m\/m**8*m)\/m)**46 assuming m is positive.\nAnswer: m**(-1174\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1215.3 and 4.\nAnswer: -4861.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 245 and 196.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4230 a factor of 478704870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 403, 814, 1235, 1666, 2107?\n\"Answer: 5*c**2 + 396*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 210228788?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9364576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-15)\/(-5))*11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1842 is divided by 1091.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11427 is divided by 126.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2612)\/(-20) - (-30)\/75 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3023 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -29. Let y be 5*-2 - (6 - (-10)\/(-2)). Does q = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3133*c + 62786 + 27375 = -7432 - 40259 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, -27, -37, -47, -57, -67?\n\"Answer: -10*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 657, 814, 1075, 1440?\n\"Answer: 52*z**2 + z + 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -425.63 minus 0.1?\nAnswer: -425.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86651.019s to weeks.\nAnswer: 0.1432721875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3481333, -3481332, -3481331, -3481330?\n\"Answer: f - 3481334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.6253447 hours?\nAnswer: 37.520682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(1*6\/3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*j**3*p**6 + 562*j**3*p**4 - 32*j**3*p**2 + 4*j**3 - 2*j*p**2 - 27*j*p wrt p.\nAnswer: 1560*j**3*p**3 + 13488*j**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 0*m + 4*m - 2*m - 14. Suppose 0 = -14*n + 18*n - 36. Let o be c(n). Solve u + 0*u = o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9313427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 11 + 9 = -4*t, c = -5*t - 1. What are the prime factors of 26 + (6 - 3 - t)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 - 1400*m**2 + m - m.\nAnswer: -1400*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 20*v = 15*v - 9, 6*v = -90*p + v - 185 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*g - g**3 + 17092*g**2 + 7*g - 17092*g**2 - 25*g - 83*g.\nAnswer: -g**3 - 191*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.353?\nAnswer: -0.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 + -1.55. Let a = -2 - d. What is the second smallest value in -5, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/10)\/(6\/8). What is the fourth smallest value in a, -0.7, -3\/5, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*w + 2 = 25, 4 = -2*w. Let s be 287\/105 + f\/(-9). Which is the closest to 0.1? (a) -2 (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-79 - 5*t + 79)*(-t + 110*t + 256*t) in the form c*t**2 + y*t + p and give c.\nAnswer: -1825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ithafiafffffhfalf. Give prob of sequence tl.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - 2871\/(-486))\/(4\/(-6)). Let q(i) be the second derivative of -1\/120*i**5 + 5*i + 1\/18*i**4 + 1\/6*i**2 - b*i**3 + 0. Solve q(a) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + 25. Let y = 52 - u. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 9*h**2 - 8*h + 10. Let q(s) = -s**2 - 8*s - 10. Let v be q(-7). Let n(m) = -2*m + 4. What is the lowest common multiple of o(8) and n(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bonfffnnxbff. Give prob of sequence bbxo.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079579?\nAnswer: 3, 139, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**3 + 4*f**2 + 4*f + 237. Let y(h) = -h**2 + h + 1. Calculate p(m) - 4*y(m).\nAnswer: m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 8. Let x be c(-5). Let h(n) be the first derivative of 1\/2*n**2 - 3*n - 94. Determine h(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/142 and 31\/71?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (-11 + 13 - 7 - 4) - 1\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144 + 3*y**2 + 3*y**2 - 144.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982222589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -2206)*11\/11. What is the greatest common divisor of i and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 2:53 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 2:13 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73595791?\nAnswer: 23, 89, 157, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -525*t + 547*t + 44, -5*j + 3*t - 24 = -0*t for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (288\/(-28))\/(-24) + 4*(-74)\/(-28)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8725774 or 8725773?\nAnswer: 8725773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 695 divide 6682409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p + 14. Let j be d(7). Let q(t) = -t**3 - 6*t**2 + 8*t + 3. Let n be q(j). Is -4 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.75 (b) 2\/21 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 15*f - 2. Let t(d) = -16*d + 1. What is -3*l(p) - 4*t(p)?\nAnswer: 19*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 o, and 1 a when three letters picked without replacement from {e: 5, j: 5, n: 5, a: 1, o: 2, h: 2}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**4*t)\/(t\/(t*(t*t**(-3)*t)\/t*t))*((((t**(-1)\/t)\/t)\/t)\/t)**(-2\/3)*t**(1\/10)\/t*t*t\/(t*t**(-2\/9))*(t**(1\/3)*t)**0 assuming t is positive.\nAnswer: t**(779\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.797728 seconds to minutes.\nAnswer: 0.0466288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2102640 by 40.\nAnswer: -52566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1700 + 1700. What is the closest to 2\/29 in 2\/5, 5\/3, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8700207?\nAnswer: 3, 2900069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29 from 415.9.\nAnswer: 444.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 - 68. Let z be (498\/8)\/(w\/(-16)*1). Suppose -6*t = -z - 134. What is the remainder when t is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in 0.5, -1\/8, -1380, -0.035?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rczrrrccr. Give prob of picking 1 r and 1 z.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*x - 8. Suppose 4*r + x*j - 8 = -0*j, 0 = -2*r + 4*j - 14. List the prime factors of 0 + 10 - (r + 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 4*k + 2. Let i(x) = x**3 - 11*x**2 + 8*x + 16. Suppose 3 = f, 5*z = -3*f + 9 + 50. Let b be i(z). Give u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 6*i + 11. Let u be h(8). Let j be (1\/1)\/((-1)\/u). Let l = j - -40. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.3065 + 13.1\nAnswer: 17.4065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 34. Which is the second biggest value? (a) 2\/7 (b) f (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 0. Suppose -2*j = -u*j + 18. Calculate the least common multiple of 4 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 6) to base 13.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37167 + -108987. What is v rounded to the nearest 1000?\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-3) + 3744\/54 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5185 divided by 5?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 20 = -64. Suppose 64430 = p*d + 6*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1.3, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.4 + -37. Let n = 5 + r. Let y = 26348\/5 - 5270. Put -2, n, y in increasing order.\nAnswer: -2, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1261 + 2449 - 4030)*(-2*l + 4*l - 4*l)*(2 - 1 + 2).\nAnswer: 17052*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 98*p + 103*p = 3, -u - 5*p - 1 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -20, -35, -54, -77, -104?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(1 + 2 + 0)*(18*i + 67*i - 14*i).\nAnswer: -213*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13315054 (base 7) to base 12\nAnswer: 4b450a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 8*r**2 + 9*r + 4. Give q(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5560375.25 to the nearest one hundred thousand.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -841 - -27.\nAnswer: -814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**5 + 14*f**4 - 100*f**3 - 30801*f**2 wrt f.\nAnswer: 120*f**2 + 336*f - 600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10324 >= -8092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**3 - 3*u**3 - 9*u**2 - 2*u**3 + 14*u**2 as g*u**3 + s + m*u + z*u**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, u: 4, j: 1, r: 3, k: 2}. Give prob of picking 1 j and 1 f.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 - 600\/(-1881). Let j = b - -469\/3553. Let p = 19 - 18.5. What is the third biggest value in j, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/11 + (-252)\/66. Let y(m) = -3*m - 3. Calculate y(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -394 in descending order.\nAnswer: 2, 0, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (0 + 8 - (-32 - -34))) + -9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5317117605, 5317117602, 5317117597, 5317117590?\n\"Answer: -s**2 + 5317117606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**4 - v**3 - v**2 + v. Let p(k) = 7*k**4 - k**3 - k**2 + k + 1. Let t(l) = d(l) - p(l). What is the first derivative of t(r) wrt r?\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4777554 is divided by 4880.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 9:19 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -58 + -41 - -34.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 1494, 2, 22, 2602 in ascending order.\nAnswer: -3, -2, 2, 22, 1494, 2602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.94 - 0.06. Let y = u + 0.6. Let t = -2 + 2.1. What is the closest to t in -5\/3, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 - 28*k**3 + 5*k**3 - 7995*k**2 + 12*k**4 - 400*k - 57*k**3 + 7455*k**2 = 0. Calculate k.\nAnswer: -3, -2, 2\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40228 (base 10) in base 7?\nAnswer: -225166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050806.6 + 9747675?\nAnswer: 10798481.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21)\/2 - -3)*56\/(-35). Let h be (10 + a)\/((-15)\/26). Let l = -9514\/255 - h. Find the common denominator of -50 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**20*u**5*(u**(-11)*u)\/((u\/u**(-9))\/u) assuming u is positive.\nAnswer: u**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + m**3 + 1 - m**2 - 464*m + 465*m as r*m + c*m**3 + x + j*m**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*i - 23*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 1. Let c be t(2). Which is bigger: c or 1\/33?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n = -29*n - 18. Solve 4*q + 14 = -5*b, 3*q + 11 = -n*q - 3*b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Suppose 2*i - 336 = -o*i. What is the units digit of (2\/(-4))\/((-3)\/i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-413)\/(-177))\/(-1 + -8 + 23232\/2574).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 90877, 3\/4, -1, 12\/17?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4221, 4220, 4219?\n\"Answer: -l + 4222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68248 or 68253?\nAnswer: 68253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*d + 250 = -0*d, -5*b = -d - 405. Let m = -50 + b. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007386 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*v - 2. Suppose b - 7 = v*m + 10, -4*m = b + 19. Let s = 0.1 + -0.1. Put s, 1\/3, b in decreasing order.\nAnswer: 1\/3, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1873*o + 1154 with respect to o.\nAnswer: -1873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.99 - -0.01. Let l(z) = -241*z + 0 + 239*z + 9. Let q be l(4). Put q, -5, v in descending order.\nAnswer: v, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2762582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 39*x**2 + 15*x + 123. Let g(t) = -60*t**2 - 21*t - 186. What is 5*g(w) + 7*k(w)?\nAnswer: -27*w**2 - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160447?\nAnswer: 7, 22921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 57482 and -0.3?\nAnswer: 57482.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 445 + 1117 = 0. Is 24 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**2. Let n(b) = -37116230*b. Calculate f(n(q)).\nAnswer: -8265687176477400*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 12*n - 4. Let x(a) = -8*a + 3. Let h(f) = -v(f) - 2*x(f). What is h(-9)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 120\/(-6) + 12 + -5. Let k(y) = -y**3 - 15*y**2 - 28*y + 8. Let d be k(t). What is the highest common factor of 272 and d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.98628 and 11.89298?\nAnswer: 13.87926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -61 + 14 + 25?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3271136731 and 2351?\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 288503*y**3 - 1327860*y**2?\nAnswer: 1731018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2427 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*h**2*n**3 + 20*h**2*n**2 + 11418*h**2*n + 125*h*n**3 + 7*h*n**2 + 1658*h wrt h?\nAnswer: 126*n**3 + 40*n**2 + 22836*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11738, 10706, 9674?\nAnswer: 8642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - 2*p)*(-66*p**2 + 221*p**2 + 146*p**2).\nAnswer: -602*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/9 - (-3784)\/6. What is q rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50641480 rounded to the nearest ten thousand?\nAnswer: 50640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -975*c - 455*c + 492*c - 478*c.\nAnswer: -1416*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-18)*r)\/r**(-3\/7))**26)**27 assuming r is positive.\nAnswer: r**(-81432\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*w + 9, 0 + 6 = 2*w + 5*q. Let l = -7 + w. Let k(h) = 2*h + 22. Let f be k(-9). Sort l, f, 1 in descending order.\nAnswer: f, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-20))\/((54\/(-75))\/3)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70063*i - 312672*i + 21431*i - 65077*i.\nAnswer: -426381*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**2*z - 17852919*h**2 - 2*h*z - 4*h - 7470836 wrt h.\nAnswer: -4*z - 35705838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49299*a + 49293*a + 47261*a - 195149*a + 49295*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 30, 1.1, 22, -1, -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - m - 3)*(6*m**2 + m**3 - 6*m**2) + (2 - 2 + m**2)*(-1 - m**2 + 1) - 2*m**4 - 3 + 3 in the form t*m**4 + u*m**2 + f*m**3 + n*m + z and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-63)*(-2)\/(-2)*-24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -26920.\nAnswer: 1\/26920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 153370 divided by 2?\nAnswer: 76685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397874?\nAnswer: 2, 3, 47, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (1 + 1) - (-7 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 2:52 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 501, 2002, 4509, 8028, 12565, 18126?\n\"Answer: i**3 + 497*i**2 + 3*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1317 divide 7845139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27962)\/132)\/31*168\/(-14).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 8699826*l**2 + 3 - 6.\nAnswer: 8699826*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 703 + -408. Let i = -593\/2 + q. Which is the second smallest value? (a) 11.3 (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3685328\/9?\nAnswer: 3685328\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/((-1 + -3)\/48). Round a to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -1 + 16. Suppose -g*v + 4*z + 20 = v, 4*z + 12 = 2*v. Let i = 84 + -83.9. What is the closest to i in v, -6, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 4. Let c be t(-8). Let y be 4 - (-2 + 1 + c). Sort -5, -4, y in increasing order.\nAnswer: -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 0, 2, 75, -4, 4 in ascending order.\nAnswer: -4, 0, 2, 3, 4, 7, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + m**2 - m. Let r be a(1). Solve 2 + r = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-44))\/((32472\/(-352))\/(-123))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10457 * -0.15.\nAnswer: -1568.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**4\/4 - 63*o**2 - o. Let g(h) be the third derivative of -h**5\/30 + h**2. Calculate g(x(t)).\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0.06, -0.01, 4, 2\/15?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m + 4. Let u(x) = -14*x - 9. Let r(c) = -5*j(c) - 2*u(c). Determine r(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-16)\/6*54\/(-8). Let u = b + 46. Solve c - 5*r = 1 + u, -2*r - 8 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*o = 67*o - 36 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3)*-1*2. Let a = -61 - -81. What is the greatest common divisor of a and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 312.35 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 7*n**2 - 7*n + 1. Let o be i(-5). Calculate the remainder when (-16 - o)\/((-2)\/53) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 7695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98434484 and 1208.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3862792*l**3 - 74823*l - 10?\nAnswer: -23176752*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1116 and -79\/7440.\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5230, 8162, 11094, 14026, 16958?\nAnswer: 19890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 16622 - 51046. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -134293.\nAnswer: -134296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 divided by 428433?\nAnswer: -223\/428433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53359 and -4432?\nAnswer: -236487088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -177.9 + 178. Which is the biggest value? (a) 5 (b) 0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*1\/(-3 - -5 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 49*z + 2256. Calculate g(-46).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6160 + -5?\nAnswer: -6165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 4*w + 3*w - w)*(31 + 38 + 11)*(0 - 1 + 2).\nAnswer: -160*w - 560","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 219*a**2 - 1338*a - 197988. Give k(-221).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 41\/((-10332)\/(-588))*72\/70. Factor -1\/5*w**3 - 48\/5*w + m*w**2 + 64\/5.\nAnswer: -(w - 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - sqrt(50)*1*-4)\/(sqrt(30)\/(sqrt(3)*-2)).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82893310 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3853156985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**6\/120 + 9*u**5\/20 + 37*u**4\/24 + 17*u**3\/6 - 107*u**2. What are the prime factors of h(-25)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -633 - -1429. List the prime factors of v.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55190172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**6\/24 + k**5\/6 + 5*k**4\/24 - 5*k**3\/3 + 2*k**2. Factor f(b).\nAnswer: -5*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.025*2129.\nAnswer: 53.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -47.3. Suppose 3*z = -5*v + 32, -4*z + 2*v = -2*v. Suppose 4*f + 5*y = -f - 5, z*y = -2*f - 6. Which is the nearest to -2\/3? (a) u (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z + 4*z. Suppose k + 4 = -5*m, z*m - 1 = 4*m + 3*k. Find the common denominator of ((-130)\/6 + 2)*m\/(-5) and -54\/11.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*f = -628*f - 9214 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -190, -1, 5, 0.2 in descending order.\nAnswer: 5, 0.2, -1, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 20*z + 38 = -3*z + 12*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**5 + 29*u**4 + u**3 - 503*u**2 - 1241*u - 938. Let d(j) = -2*j**5 + 14*j**4 - 252*j**2 - 620*j - 472. Let q(x) = -4*c(x) + 7*d(x). Factor q(t).\nAnswer: -2*(t - 4)*(t + 2)**3*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 80*z**2 + 718 - 5*z**3 - 21 + 143 + 925*z = 0.\nAnswer: -7, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 0 + a**3 + 6 + 3*a**2 - 2. Let u be h(-3). Suppose -u*r + 9*r = 35. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-2)*((-3)\/(-5))\/((-288)\/672)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (3\/1 + -3). What is the smallest value in r, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6927*x - 2. Let h(q) = -409856719*q + 118337. Give 4*h(j) + 236674*u(j).\nAnswer: 13922*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 - 2\/(-3 + 11). Let c = 11 + -11.3. Let l = c - -5.3. Sort w, l, -1\/12 in descending order.\nAnswer: l, -1\/12, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/204 and -97\/42?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -306130 or -306118?\nAnswer: -306130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2088 - 2083. What is the closest to -8 in 3, y, 2\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 11*l**2 - 17*l + 40. Determine f(-7).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - (26 + -1)) + -10 + (5 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzee when four letters picked without replacement from {z: 4, t: 6, e: 4, l: 4}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-51)\/85*5)\/(1\/(-150)). Is 449 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((3\/(-2))\/3)\/(7\/70). Let n = 14 + -9. Put m, 1, n in descending order.\nAnswer: n, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000319065238 rounded to 7 decimal places?\nAnswer: -0.0003191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 8 - 9 + 17.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 12*l**2 + 2*l - 20. Suppose -2*k + n + 28 = 0, 2*k + 4*n - 8 = -0*k. Let p be j(k). Solve -3*u + u - 4 = 0, -p*u = -4*t + 20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b - 1003 = 5*m, -3*m - 997 = -4*b. What is the remainder when b is divided by 63?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1648*w + 72. Let f be a(11). Round f to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 9\/4 (c) 1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) -197\/4 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 98\/1485 and -71\/3555.\nAnswer: 117315","meta":{"dup_signals":{},"source":"numbers__lcm_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: Suppose 0*g - 5*g + 3*f - 11 = 0, 4*f = -4*g + 4. Let v be (-2)\/(-4) - (-3310)\/60. Let p = v - 1163\/21. Which is the nearest to g? (a) -0.5 (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549926.9 milligrams in grams?\nAnswer: 549.9269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -214, -311, -408?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10417294.\nAnswer: 2, 17, 67, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45177*t**2 + 3*t**3 - 45177*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1068)\/(-36)*17\/((-51)\/(-9))*-1.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 7. Suppose 2*v - 100 = -s*v. Suppose 3*r - 7*r = 2*m - 74, 5*r = -m + v. What is the greatest common factor of 30 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 2*a**2 + 3*a**2)*((1 - 4 + 2)*(-1 + 2 + 1) + (0 - 4 + 3)*(19 - 2 + 0) - 2 - 2 + 1).\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 4*x - 4. Let q = 0.2 - -0.8. Put x, q, 5\/4 in descending order.\nAnswer: 5\/4, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27\/7 - 101\/28. What is the closest to n in 0.2, 0, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*h + 8 = -2*z, -4 = 3*z - 4*h. Suppose z*d - d = 42. What is the remainder when 41 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 2*n**2 - 3 + 726*n + 19 - 710*n.\nAnswer: 4*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 3*a**2 - 3*a - 3. Give m(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/11))**37*y\/y**(1\/7)*y\/y**(-29) assuming y is positive.\nAnswer: y**(2635\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-32)\/24*(-2 - 2383\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 81*h + 232. What is x(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 54340.57 nanograms?\nAnswer: 0.00000000005434057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 35151 (b) -7\/6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1180901 divided by -36?\nAnswer: 1180901\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -403940.7 - 426.\nAnswer: -404366.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20840667593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 248604658?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/4*(-1 - -11). Let i = -60263 - -60240. Which is bigger: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27772 and 3463247.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6159 - ((-777)\/1813 + ((-3)\/(-7) - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -793, -705, -559, -355, -93, 227, 605?\n\"Answer: 29*i**2 + i - 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 46 = -4*y + 23, -2*t + 141 = 5*y. Is 25 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-12)*4)\/(12\/602*(-5033)\/(-6471)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 3647780\nAnswer: -729556","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3186*s - 445*s + 10 + 724*s + 1690*s. Let l be j(-2). Round l to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*m + 12. Factor -m*x**2 + 6 + 4*x - 3 - x.\nAnswer: -3*(x - 1)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -765, 1\/26, 0.0247 in descending order.\nAnswer: 1\/26, 0.0247, -765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + 1*sqrt(539) + sqrt(539)*-2*4 + (sqrt(539) - (-1 + sqrt(539)*-1))*-6 + -1)**2.\nAnswer: 2926*sqrt(11) + 194697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2*i + 2, -5*q - 22*i + 18*i = -14. Let z be 192\/(-9) + (-2)\/3. Let h = q - z. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -126, -124?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((4 - 4)\/(-2))\/(-2))\/(-2). Which is greater: 16 or d?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8282, 33182, 74692, 132812, 207542, 298882?\n\"Answer: 8305*q**2 - 15*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 0.2, 5, 0.6, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1066 = 235*l - 371 - 4673. Let q(s) be the second derivative of 53\/12*s**4 - l*s + 0*s**2 + 0*s**3 + 0. Let p(z) = -2*z. Determine q(p(n)).\nAnswer: 212*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 12*n**2 - 14*n - 8. Let g be j(-13). Let u(k) = -2*k - 3. Let h be u(-4). Solve 10 = g*z + 5*d, -5*d = -2*z + 4*z + h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -432 * 137\nAnswer: -59184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/9097 + -227439\/63679. Calculate the common denominator of -155\/492 and f.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2820)\/(-25380)*(30\/4)\/1\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 136\/18787?\nAnswer: 136\/18787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126368 = 2*c - 4*v, c = -102*v + 107*v + 63172. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2453, 9848, 22189, 39476, 61709, 88888?\n\"Answer: 2473*x**2 - 24*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 378*o**2 + 3021*o + 3. Let w be u(-8). Is 34 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 16904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, k: 2, o: 4, w: 4, d: 1, s: 5}. Give prob of picking 1 w, 1 s, and 2 v.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -82\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113*o**2*s*x**2 - o**2*s*x + 2*o**2*x - 362*o*s*x - s*x**2 wrt x.\nAnswer: 226*o**2*s - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1299912\/589 or 2208?\nAnswer: 2208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -2*d + 1\/2*d**2 + 11. Calculate a(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/3 + -10)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/15945664 and 117\/17024.\nAnswer: 605935232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**3 - 21517688*c**2 + 21517688*c**2.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - -28. Suppose 274 = 2*h + c. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2204? (a) 2\/7 (b) 7 (c) -2\/3 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 - (-22)\/(-4) - (-195)\/2.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**4\/12 + 2*q**2. Let w(u) = 8*u - u**2 - 8*u. Calculate w(t(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23501?\nAnswer: 71, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121059, -121026, -120963, -120864, -120723, -120534, -120291?\nAnswer: -119988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4466.997879 + 4467. What is w rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36, 55, 72, 81, 76, 51, 0?\n\"Answer: -m**3 + 5*m**2 + 11*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - (0 + -3 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 548 and 1781?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 3 + -2 + -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2650*o**3 - 18 - o - 70 + 87 - 2*o**4)*(4*o - 4*o + o).\nAnswer: -2*o**5 + 2650*o**4 - o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/5 + 0)*-1. Suppose -2*u + 18 = 0, 29 = q - 136*u + 141*u. What is the nearest to q in -2\/9, z, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-12) + (-15 - (-31 - -13))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3016 by -52.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*6*(sqrt(612) - (sqrt(612) + -1 + sqrt(612)))**2 - (sqrt(68) + -2*(sqrt(68)*-1 - sqrt(68)))\/(-2*-3*sqrt(4)).\nAnswer: -437*sqrt(17)\/6 + 3677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 19. Let f be t(19). Let w be 12\/(-1) + f + 3\/(-1). Let m be ((3 - 2) + 0)\/((-3)\/w). Which is the nearest to 0.1? (a) 4 (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, f: 10}. What is prob of picking 3 f?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - -0.8. Let z = -122.5 - -126.5. Which is the smallest value? (a) z (b) -0.02 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5442837 or -5442836?\nAnswer: -5442836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -282*a*p**2*z - 201*a*z + 2*a - 4*p**4*z + 2*p*z + 5 with respect to p.\nAnswer: -564*a*p*z - 16*p**3*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*f - 11*f + 189*f.\nAnswer: 195*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1291337 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 13 = 2*u - 2*x, 2*x - 3190 + 3199 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14\/1227 - -8730\/409. Calculate the common denominator of 25\/1263 and x.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*i - 2*y, 6*i - 2*i - 3*y = 13. What is the third biggest value in -0.5, 2\/3, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g**2 - 15*g - 7. Let h(j) = -10*j**2 - 21*j - 10. Let c(f) = 7*a(f) - 5*h(f). Let y(z) = -3*z**3 - 2*z**2 - 2. Calculate -6*c(w) - 3*y(w).\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 105989 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3418764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -58131760 to the nearest 100000.\nAnswer: -58100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20501580161.8040047 - 20501581546. Let x = v + 1384.1. Let o = -0.096 - x. Round o to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.154 and -0.509.\nAnswer: 0.078386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 + (-6)\/4. Let n be (-2 + (l - -2))*0. Suppose 2*t + 0 - 6 = n. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 4. Let x be k(6). Solve x*r = -0*r - 5*c + 11, -3*c - 1 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -1\/4*y**4 + 0*y - 5 - 1\/12*y**5 - 1\/120*y**6 - 5\/6*y**3 + y**2. Let x(k) be the second derivative of a(k). Determine x(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in -5, 0.5, 2\/29, -2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2847\/9 + 14\/21 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 - -104. Is (-12 - (-1 + 3))*u a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (-20)\/8)*4. Suppose -w*r = 4*g + 7 + 7, 0 = -4*r - 3*g - 3. Let i(c) = c**2 + 3*c + 2. Calculate i(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by -24.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2511935777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 106032*t.\nAnswer: -t*(t - 106032)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 + (5\/(-40)*-8 - 7). Let d(x) be the third derivative of -1\/24*x**4 + 1\/12*x**v - 1\/2*x**3 + 0 + 0*x - 1\/120*x**6 + x**2. What is d(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -161 + 165. Suppose 26 = z*p + 6. Sort p, -5, 6 in ascending order.\nAnswer: -5, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/8330 and 67\/107015?\nAnswer: 10487470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*x + x = 36, 3*h + 3*x - 48 = 0. Let m = h + -12. Solve m = -3*d + 9, 4*d - 8 = -4*p + 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**6\/30 - x**3\/3 + 4*x - 5. Let r(w) be the first derivative of m(w). Find the second derivative of r(v) wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 1, x: 1, u: 1, l: 2, v: 1}. What is prob of sequence vm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 18451801.\nAnswer: 110710806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from vggqvvqggvgvggv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.0171 * 1182.\nAnswer: 3566.2122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -56, -59, -64, -71, -80?\n\"Answer: -g**2 - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 473 - -114b?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -12*k + 1. Let w be ((-2)\/3)\/((-22)\/(-33)). Let p be r(w). Suppose -2*u - u = 5*m - 17, p = 3*m - u. What is the least common multiple of m and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30301, 1, -4, 3 in descending order.\nAnswer: 30301, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 22374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4218)\/(-9842) - (-7)\/(49\/(-94))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*s + 912 = -173*s + 275*s for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 376193063?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p - 5*x = -35, -4*x = -3*p + 29. Suppose 5*k = -p, -3*f + 5*k = -f - 17. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 552, 552, 554, 558, 564, 572, 582?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3622 + -2462. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -886.\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-174\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 1:01 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 3*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -576 + 661. Calculate the highest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202214 at most as big as 202214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -988 + 998. Solve z + 2*j = 6*j + m, 14 = 4*z - 3*j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105139 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 t when three letters picked without replacement from ttttqtqttqtqtttttttt?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 123 = -0*t - 2*b, -5*b + 63 = 2*t. What is the greatest common factor of t and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - -1) + (5 - -14) + -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1)\/(-3) + 519336\/108 - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 27 = 3. Let s = -0.18 - -12.18. Let q = 14 - s. Which is the second smallest value? (a) q (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40237591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*-17.29.\nAnswer: -726.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3, -0.07, 1.3, -5\/3.\nAnswer: -5\/3, -0.5, -0.07, 1.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 1\/3, 0.033.\nAnswer: -0.01, 0.033, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 26, 4, -48, -142, -290, -504?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 119.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, r: 1, h: 1, d: 3}. What is prob of picking 3 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40444057669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 - 1559 = -16*q. Let t(s) = 11*s**3 - 73*s + 11*s**2 - q*s + 153*s - 13*s**2. Calculate t(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-149)\/298*(585\/150 - 4)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/180 - (-1)\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56445 - 56445. Let n(u) = -u**2 + 6*u + 5. Let r be n(6). Solve 5*z = r, f = 4*s - 3*s - 5*z + 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301421\/2681 - (4 + 108)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipi when three letters picked without replacement from ippippj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 1. Let x be i(-7). Let g = -7 - -4. Let r = g - x. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 13 = -4*p, -37*c = -4*p - 34*c - 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b - 14. Let p(l) = -l - 2. Let n(w) = 2*c(w) - 14*p(w). Let x(d) = -5*d - 2. Determine x(n(h)).\nAnswer: 10*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 765 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25281 and 4770?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5760b + -3?\nAnswer: -57612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1273 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -35*v**2 - 3*v - 25. Let q(t) = 34*t**2 + 2*t + 25. Let w(j) = -2*d(j) - 3*q(j). What is the first derivative of w(b) wrt b?\nAnswer: -64*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 - 5 = -t, 3*p + 7 = t. Let q(l) = l + 4. What are the prime factors of q(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(1\/6)))\/p**9)\/((p\/p**(-7))\/((p*p*p**2*p)\/p)) assuming p is positive.\nAnswer: p**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a - 1. Let v be x(1). Let i = v + 41. Suppose -6 + i = 3*y. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 759491.2 milligrams to tonnes.\nAnswer: 0.0007594912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 1.6589295\nAnswer: 0.6635718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103 + 129. Let n = 6.1 + -31.7. Let h = z + n. What is the smallest value in 1, -2\/3, h?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 1857770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*r**3 - 116*r**2 - 870*r - 65869826 wrt r.\nAnswer: -21*r**2 - 232*r - 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225\/180*(-48)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 218*g - 7. Let c(f) = f. Determine l(c(o)).\nAnswer: 218*o - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b - 15. What is the smallest common multiple of 20 and f(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10088091 divided by 41?\nAnswer: -246051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5318833*v**2. Let r(k) = -15*k. Calculate r(x(y)).\nAnswer: -79782495*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 47 + 18. Let o = t + 0. Suppose -10*q - 219 = -o*q. What are the prime factors of q?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 - 5*p - 2. Let c(b) = 3*b**2 + 4*b + 2. Calculate -6*c(i) - 5*y(i).\nAnswer: -3*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 + -57. Suppose 5*b = -5*d - 115, 3*b + 21 + t = -d. Let r be -2*3\/b*(-2 - 13). Sort r, -28, 1 in descending order.\nAnswer: 1, r, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 - 110 - (-7 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 28 = d, q + 1 + 0 = 2*d. Let -12*t - 7*t**3 - t**4 - 2*t**3 - 4 - 13*t**2 + d*t**3 = 0. Calculate t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1\/7 (c) 26\/5 (d) 2 (e) 0.04 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-6) - (-7969)\/78. Let c = w + -88. Solve 2*f = 1 - 3, -4*i + c = 2*f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1699\/(-120629) - 2067\/4473.\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1187 = -2*q + 1993. List the prime factors of q.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 5791*x + 7.\nAnswer: -5791*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -2. Let o = 243 - 515\/2. Let s = 14 + o. What is the nearest to s in -2\/3, 0.4, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29851 is divided by 1295?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3676.807 millennia in centuries?\nAnswer: 36768.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n - 2. Let z(p) = -3*p + 1. Calculate -4*q(w) - 7*z(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42093859 is divided by 6183?\nAnswer: 6178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1566256382?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) - (-46)\/(-8). Let x = 0 - m. What is the tens digit of ((-34)\/x)\/((-8)\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1188*z = -6807 - 2697 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = -4. Suppose 0 = -y*d + 4*z + 62, 3*d - 32 = -0*z + 5*z. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z**2 + 7*z - 8. Give v(3).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.6 (c) 4 (d) -0.05 (e) 2 (f) 5 (g) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.02517\nAnswer: 0.12585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36.4 + 36. What is the second smallest value in d, 1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -10.32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 10*v + 29. Let j be t(8). Sort 0, j, 4 in ascending order.\nAnswer: 0, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -117 - -817\/7. Let s = -4 - -2. Which is the second biggest value? (a) -1\/3 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.378739 to one decimal place.\nAnswer: 96.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -16 + 1. Let s = v + -1. Let l(h) = 8*h - 3 + 0*h - h - s*h. Determine l(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/4, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2086211, -4172403, -6258591, -8344775, -10430955, -12517131, -14603303?\nAnswer: -16689471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 10, -3\/2, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1311 and 239571.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-19488.6.\nAnswer: 3897.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6745*j - 134184. Calculate k(-20).\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010424222 (base 5) in base 6?\nAnswer: 111502110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (4 + -7 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.061 - -0.087. Let m = x - -0.052. Which is greater: 0.02 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkmd when four letters picked without replacement from {y: 1, m: 4, q: 3, k: 4, d: 5, l: 1}?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 27271665?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*4*(sqrt(6) - (sqrt(6) + (sqrt(6) - (sqrt(6) + -2*sqrt(24)\/sqrt(4))))))\/((sqrt(24) + 2*sqrt(48)\/sqrt(2))\/(sqrt(32)\/sqrt(4)*4)))**2.\nAnswer: 51200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/21 - 406958*r**3\/3 + 5697404*r**2\/21 = 0. What is r?\nAnswer: 0, 2, 1424351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from {f: 2, x: 6, q: 2, s: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7560*-0.04\nAnswer: 302.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13070 is divided by 856.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2877 - -4939. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**3 - 13*f**2 - 2397*f - 3. Let l(a) = -38*a**3 - 130*a**2 - 23972*a - 31. Let t(o) = 2*l(o) - 21*q(o). Find the second derivative of t(w) wrt w.\nAnswer: 48*w + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697 is divided by 66.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7618, -30455, -68518, -121807, -190322, -274063?\n\"Answer: -7613*u**2 + 2*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 7:05 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*l - 28 = -2*c - 48*l, -3*l = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) + -1)*5 + (sqrt(16)*4*-3)\/sqrt(8))*4.\nAnswer: -20 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * -0.4.\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111*m**3*n**3 + m**2 + 435*n**3 wrt m.\nAnswer: 333*m**2*n**3 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 - r - 1. What is i(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720 and 20268.\nAnswer: 405360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryx when three letters picked without replacement from {r: 1, y: 3, x: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/((-15)\/(-5)))\/(-2 - 1). Suppose -2*d + 4 = -p + 3, -p - g = 3*d. Solve -5*o = -d*o + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-16)\/14 + (-140)\/28.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k**3 + k**2 - 27*k**3 - 49*k**3.\nAnswer: -106*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b99 (base 12) in base 2?\nAnswer: 11010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1055374 - 1055384 + 2*l - 2*l - 12*l**2 to f*l + h + x*l**2 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 304 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -9*d**2 + 9*d + 15. Let s(c) = -c. Let i be ((-22)\/33)\/(2\/27). Let f(j) = i*s(j) - b(j). Differentiate f(g) wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8408 divided by -4204\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 11:51 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 9*d + 2. Let i(r) = -r + 9. Let f be (-12)\/66 - 4\/(-22). Let l be i(f). Is y(l) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**3 + 11*o**3 - 2*o**3.\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*t - 0*f + 5*f, -2*f = 3*t - 54. What is the remainder when 35 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 - 32*o**2 - 33*o + 3. Give h(-15).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(0 + 5 - 6)*((y**3 + y**3 + 0*y**3)*(y**2 - y + y) + 2*y**5 + 0*y**5 + 0*y**5).\nAnswer: -8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -73*s**3 - 9*s**2 - 11*s - 48. Does 39 divide v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42.3 - -42. Sort -0.056, -3, s in ascending order.\nAnswer: -3, s, -0.056","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 1268\/15?\nAnswer: 1268\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.196 + -0.996. What is the nearest to 0.1 in c, -2\/9, -22, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/3 + 1. Let g be (0 - -1)\/((-33)\/(-6)). What is the third smallest value in i, -2\/5, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkjhkyjjkj. Give prob of sequence jjh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**8\/240 - s**6\/120 + s**3\/3 + 5. Let p(o) be the third derivative of a(o). What is the third derivative of p(v) wrt v?\nAnswer: -168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 8*h + 26. Determine j(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*n = -305*n - 333*n - 149*n + 24420 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 1111?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -338, 3, -1, 2, 1, 1559, 4 in descending order.\nAnswer: 1559, 4, 3, 2, 1, -1, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**4\/12 + 2*k**3\/3 + 12*k**2 - 41*k. Let i be n(7). Solve -3*t = -i*c - 18, c + 2*t - 10 = -t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - 7*s**5 + 0*s**5 - 2*s**5 + s - s + 3*s**2 + 2*s**5 - 3*s**2 + (1 + 0 - 2)*(-2 - 2*s**5 + 2) - s**5 + s**5 + s**5 - 4*s**4 + 4*s**4 - 2*s**5.\nAnswer: -5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -2\/3, 4\/3, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, 24250, -0.5, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -15*y**2 - 7*y + 7. Let s(n) = -3*n**2 + n - 1. Let b(x) = -x**2 + x - 1. Let l(t) = -10*b(t) + 6*s(t). Determine -7*l(v) + 4*w(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*t**2 - t**2 + 2*t**2 - 2*t**2 to n*t + s + j*t**2 and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(6\/7))\/r)\/(r*(r\/r**(2\/9))\/r)*(r*r**0*r)**(-47))**9)**(2\/67) assuming r is positive.\nAnswer: r**(-11834\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-6))\/((-4)\/(-18)*-3). Calculate the greatest common factor of 5 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(3\/5))\/((r*r**(-1))\/r))\/(r**(-1\/2))**(-1\/8) assuming r is positive.\nAnswer: r**(107\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7951 + -7947. Let l be (-3)\/2*(-2)\/(-6). Let m = 52 + -52. Which is the nearest to l? (a) s (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 5:47 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/1683 and -89\/42636.\nAnswer: 127908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 11:22 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1243*k + 1242*k = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 94840699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 3*k**2 + 2*k**2)*(-60*k + 27*k - 1 + 34*k).\nAnswer: -3*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 874869 + -366669. Round y to the nearest ten thousand.\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1123272611?\nAnswer: 71, 101, 156641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**4 - 62919*x**3 - 439929630*x**2 - 1025915519700*x - 3073788891000 = 0.\nAnswer: -6990, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/7))**(-24)*g**(2\/5)*g**(-9) assuming g is positive.\nAnswer: g**(-901\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(36)\/sqrt(4))\/(-4*sqrt(3)*3) - (6*2*sqrt(30))\/(-5*sqrt(90))*-5.\nAnswer: -11*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -424 divided by -2?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4\/7, 0, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(425) + (-2*sqrt(425))**2 + 2 + sqrt(425) - (-2 + 0 + sqrt(425))**2) + (-6*(1 + 2*sqrt(425) + sqrt(425) + sqrt(425)))**2).\nAnswer: 8820*sqrt(17) + 1476654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9432456607\/3384 + 2787369. Find the common denominator of k and -155\/132.\nAnswer: 37224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3 - 6) + -5 - -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5999, -22808, -50831, -90068, -140519?\nAnswer: -202184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6750 by -9.\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n**5 - 56*n**4 - 32*n**3 + 56*n**2 + 12*n = 0. Calculate n.\nAnswer: -1, -1\/5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336, -1422, -3246, -5814, -9132, -13206, -18042?\nAnswer: -23646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(3\/6*-2). Suppose -3 - 5 = -4*d. Calculate the lowest common multiple of 4\/((-1)\/3*x) and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -661845, -1323602, -1985359, -2647116?\n\"Answer: -661757*r - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -116085?\nAnswer: -116085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130 + 131. Let a = -165 + 165. Sort j, -1\/2, a in descending order.\nAnswer: j, a, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11028021 divided by -18597\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7600 and 2160?\nAnswer: 205200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48730?\nAnswer: 2, 5, 11, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*(r\/r**(-1\/9))\/r))\/r)\/(r\/((r**(6\/5)*r)\/r)*r*r) assuming r is positive.\nAnswer: r**(-131\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2294, 2306, 2326, 2354, 2390, 2434, 2486?\nAnswer: 2546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2190.4 times -1.2075?\nAnswer: 2644.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -144103537*j**5 - j + 17025649?\nAnswer: -2882070740*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5. Let p(b) = 3. Let z(a) = 3*p(a) - 2*r(a). Let o(t) = t**2 + t - 6. Calculate 2*o(f) - 10*z(f).\nAnswer: 2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4175 (b) 123 (c) 1.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 79*r - 368. Determine s(0).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 12:30 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2\/5 + 3638*h - 1061748\/5 = 0.\nAnswer: -9153, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3780 - 3680 - 33*b**2 + 25*b**2 - 64*b**2 to r*b**2 + g + m*b and give g.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 48872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67\/34 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8043*k**3 - k**2 - 41*k + 42. Does 7 divide o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132 + 106)*15\/10.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 5:40 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - ((-36)\/(-90))\/(2\/10). Determine d so that -2\/3*d + 0 + 1\/3*d**b = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(-5*z**4 - 6*z**4 + 5*z**4) + (-2*z**2 - 2*z**3 + 2*z**2)*(1 - 1 + 4*z).\nAnswer: -14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 552422177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 207\/10 - 41\/2. Let l = 3.1336 - 3.0236. Is l <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5960 + 2*n - 3*n - 5966. Give w(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/22980 and 67\/10724.\nAnswer: 160860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5598647159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107834 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5\/3 - 22*n**4\/3 + 16*n**3 + 24*n**2 = 0. Calculate n.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 4*y. Let s be -6 + (-2 - -1)*-1. Let w = s - -7. What is the remainder when w is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*d - 40*d + 765 = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -397 divided by -609?\nAnswer: 397\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39955, 39954, 39953, 39952, 39951?\n\"Answer: -h + 39956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from gyeeg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.859755 millennia in decades?\nAnswer: 585.9755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 17066 + 75069 - 58003.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 2 = -5*h - 6*x - 2*x + 10, -5*h = 5*x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-5))\/((-85)\/((-61625)\/58)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-20)*4*(1 + -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 7*o - 8. Let i be w(-8). Let z = 2 - 1.6. Let v = 36 + -37. Which is the closest to i? (a) z (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151895878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + 2*g**3 + g**3)*(-6 - 2 + 1) - 4*g**2 + 4*g**2 - g**3 + g**3 + 3*g - 3*g + (2 - 2 + g)*(5*g**2 + 2*g**2 - 3*g**2).\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + 4. Let o = z - 42. Calculate the common denominator of -1 + (-6)\/(-18) - (-187)\/o and 55\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 + 10*x + 2618. Let a(h) = h. What is l(a(w))?\nAnswer: 4*w**2 + 10*w + 2618","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0567303984 plus -25.7?\nAnswer: -25.7567303984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1714738, -1714601, -1714372, -1714051, -1713638, -1713133, -1712536?\n\"Answer: 46*r**2 - r - 1714783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2415b0 (base 13) in base 5?\nAnswer: -210010030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00027901 rounded to six dps?\nAnswer: 0.000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/65*(-3)\/(-12)*(-48)\/14.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.6 + -21.6. What is the closest to 1\/2 in b, 4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1208 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 6*p + 3. Let k be z(6). Suppose 2*h + 4 = 0, 4*t - k*t + 3*h - 10 = 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27068, -27049, -27026, -26999, -26968, -26933, -26894?\n\"Answer: 2*c**2 + 13*c - 27083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/55)\/(n*n**(-7\/10)\/n) assuming n is positive.\nAnswer: n**(81\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2443 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 27*w - 10. Let h be o(13). Which is smaller: h or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 divided by 5.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*y = -4*y - 2, 0 = -5*a + 4*y - 18. Let z = 10 - 4. Let r be -1 - a*z\/9. What is the biggest value in r, -3, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-69 + 27)) + -67.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 273630 = 347920. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f + 139 = 31*f + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 434.9 - 435. Let r = 1.9 - 2. What is the closest to s in 4, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*f**4*z + 1214*f**2*z + 127*f + 6*z wrt f?\nAnswer: -264*f**2*z + 2428*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7272.778 tonnes to milligrams.\nAnswer: 7272778000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 3, s: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20160 and 1725120.\nAnswer: 12075840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1501d1c - 5?\nAnswer: -1501d23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1740 - -6219. What is the greatest common factor of 42 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210\/75*(-10)\/(-4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -1359 = 302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 201 = -66. Suppose -x - 2*z + k = 2*z, 4*z - 113 = -3*x. What are the prime factors of x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 3:03 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 5:57 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/2))**(3\/28))**(-37) assuming a is positive.\nAnswer: a**(-333\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((1 - 1)\/((-30)\/15))\/1. Let j(g) be the second derivative of -1\/12*g**3 - 2*g + i*g**2 + 0 + 1\/24*g**4. Determine y so that j(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -6, -3 in descending order.\nAnswer: 3, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g - 18. Let n be w(9). Let j(i) = -i**2 + 11*i - 14. Let q be j(n). Suppose 0*p = p + q. What is the third biggest value in -1, -3, p, -32?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21227535 + -21227936.99937. Let h = -402 - c. What is h rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 34*v**3 - v**2 + 353*v - 711. What is z(2)?\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**3\/3 + 6598*w**2\/3 - 3697155*w + 227696832 = 0.\nAnswer: 64, 3267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-71)\/((-710)\/(-20))*(-2608 + (-2)\/(-1)). Is v bigger than 5212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117481 (base 10) in base 8?\nAnswer: -345351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3\/7 - 920*c**2 + 25784*c\/7 - 25792\/7 = 0?\nAnswer: -3224, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 18. Let c(g) be the second derivative of g**3\/3 - 18*g**2 + 8*g. Let h(r) = 4*c(r) + 9*i(r). Let x be h(13). Solve x*v + 10 = -10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-498)\/581*(-84)\/1404\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 4*q + 4*v + 56, 5*v = q + 14. Let m be (-2 + q\/(-4))\/6. Let g = 7 - 11. What is the smallest value in g, m, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/10 - (2\/1 + -2). Let u(g) = g + 1. Let x(a) = -9. Let w(d) = 2*d + 18. Let t(s) = 4*w(s) + 7*x(s). Give h*u(o) + t(o).\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*13\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-288 - -89 - -87) + 175.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 3. Let l be t(-5). Let h(b) be the third derivative of -b**5\/60 - 7*b**4\/24 - b**3\/3 - 405*b**2. What is h(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -234\/11*k**2 + 0 - 8\/11*k = 0.\nAnswer: -4\/117, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + sqrt(7623)*1)**2 + (5 + 0 + -1*sqrt(567) + -2)**2.\nAnswer: 12*sqrt(7) + 8200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.74 or -415?\nAnswer: -415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = -3*x, 4*x - x - 3*h = -9. Let r be -2 - x - (1 - (7 - 1)). Suppose 2*y + 2*v = 20 + 4, -5*v = -15. Solve -r = -4*o + y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3917 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 13634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.5, 3, -236?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 * 108.72946\nAnswer: 15.2221244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1687\/3 + -562. Suppose g = -4*g - p + 15, 3*p - 15 = 0. Let o be (0 + g)\/(6 - -2). Which is the closest to -1\/2? (a) x (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -86 - 82 - 3*m + 62. Let g(a) = -2*a**2. Determine g(c(y)).\nAnswer: -18*y**2 - 1272*y - 22472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.0355 or -17159?\nAnswer: -1.0355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17004323459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**2 - y**2 + y**2)*(-4*y + 3*y + 2*y) - 39*y**3 + 1738562*y**2 - 30*y**3 - 1738530*y**2 as d*y**2 + j*y**3 + b + i*y and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -167\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/8200 and 83\/10.\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*q**3 - 11722*q**2 + 8889*q**2 + 910*q**3 - 50*q**3 wrt q.\nAnswer: 4848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clcuqilglllqlqucili. Give prob of sequence uulg.\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*y + 2534, 0*y = 4*t + 5*y - 10102. Let u = -1143 + t. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 5 (b) 35 (c) -878 (d) 4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.6 (c) 2423 (d) -28 (e) 2\/27 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3824\/21153 - -2\/1923. Let n(h) = h. Let b(o) = 6*o - 2. Let m(t) = b(t) - 3*n(t). Let r be m(2). Sort 0.06, r, z in descending order.\nAnswer: r, z, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/13 (b) -3\/292 (c) -4 (d) 0 (e) -0.3 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1301011 - -1203?\nAnswer: -1233202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-7))\/(30\/42).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-1)\/(3\/369) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -24, 2, 5, 2111, -3, 3 in decreasing order.\nAnswer: 2111, 5, 3, 2, -3, -7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19775 and 2275.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one halves of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1586 is divided by 263?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 48 = -2*c + 106, 0 = -4*c + 4*g + 272. Let f = 106 - c. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.135 + -23. Let i = l + 0.065. Let d be 1*2*(-1)\/6. What is the smallest value in i, 8\/11, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 2120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.8 - -7. Let x = -2.8 - u. Let i = -0.07 - -3.07. Sort x, -1\/4, i in decreasing order.\nAnswer: i, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7968528 minus -2286?\nAnswer: 7970814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times 146?\nAnswer: -2628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*j - 3 = 0. What is the closest to j in 1\/9, 9, -2\/13, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 11, -2\/11, -3\/5, -0.3 in decreasing order.\nAnswer: 11, -2\/11, -0.3, -3\/5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 899382816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -3. Let o = -2.2 + 2. Let n = o + 0.1. Which is the closest to -1\/4? (a) n (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -370511*o**2 - 4390*o + 21.\nAnswer: -741022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.617 + -0.173. Let y = 0.49 + v. Let a = 0.01 - -0.49. What is the nearest to 0 in 1\/5, a, y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(1\/3)\/o*o))\/o**(9\/5) assuming o is positive.\nAnswer: o**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9 + 1.931. Let o = 0.069 + u. Sort o, 0.4, 0.2 in ascending order.\nAnswer: o, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*k + 5. Let t(f) = -6*f**2 + 1. Let y be t(-2). Let m = -22 - y. Sort m, k, -3 in descending order.\nAnswer: m, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*v - 1802, 0 = -2*v - 154 + 158. Is -439 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + 5*o + 2. What is the smallest common multiple of k(-4) and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412404246 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y - 15*y - 6*y - y. Let p be m(-3). Let r be (-2 + (-12)\/10)*-5. Calculate the highest common divisor of r and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01184 and 0.9205?\nAnswer: 0.01089872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-819)\/(-3)*17 - 11?\nAnswer: 2, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((-1*sqrt(98) - sqrt(98))\/sqrt(2) - sqrt(49)) + sqrt(784)*-6))\/((sqrt(847) - -2*sqrt(847))*5*6).\nAnswer: -9*sqrt(7)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvzwccjffvwccccjfff. What is prob of sequence wzvc?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 12, 2, -3 in descending order.\nAnswer: 12, 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-28) + 254\/840. Let z be (-13)\/2*(-4)\/60. Let b = d - z. What is the common denominator of 21\/4 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-134230.\nAnswer: 134230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 15 - 43 = 0. Let o(m) = -m + 7. Let h be o(4). Suppose 4*u + l = -16, -h*l - 2*l = u + 23. Put v, -5, u in ascending order.\nAnswer: -5, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 11:50 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 + 0.8. Let u = -21\/13 - -185\/26. Let f = u - 35\/6. Sort -3, f, t in decreasing order.\nAnswer: f, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-75)\/6*48\/(-240) + 19534\/4. Is 4887 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -210122?\nAnswer: 210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*d*g**3 - 2*d*g**2*p**2 - 30*d*p**2 + 6*g**3*p**2 - g**2*p**2 + 201*g*p wrt g?\nAnswer: 354*d + 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + o)*(6 + 10*o**2 - 6) + (0 + o**2 + 0)*(-o - 3*o + 7*o).\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -28*f - 10. What is w(2)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06552 take away -32959.519?\nAnswer: 32959.45348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + -7)\/((-4)\/(-16)*-6 - -2). What is the biggest value in -4, -5\/4, q, -8.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 + 0*f + 0*f)*(2*f - f - 2*f) + 2*f**3 + 1 - 1 + 2*f**3 + 1 - 1 + (f - f + 2*f**2)*(2*f + 9*f + 5*f) to h*f**2 + l*f + g*f**3 + o and give g.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 4:47 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 2:37 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 2*l + 16 = 64, -3*g - 12*l + 8*l - 91 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 o when three letters picked without replacement from yyooo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 + 0.1. Let r = -41 + 69. Let z be (-16)\/(-18)*7\/r. What is the third biggest value in z, 4, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1601047 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403 - 67 - 37385*d + 37389*d.\nAnswer: 4*d - 470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x - 13. Suppose 0 = -d - 3*d - 4*v + 32, 0 = 4*d - 5*v - 14. Let k be p(d). Solve -4*y = 13 - k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -73 (b) 0 (c) -2 (d) 289 (e) -0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4813588632.\nAnswer: 2, 3, 59, 3399427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 588056.6 millennia?\nAnswer: 5880566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + 4 + -5 + (1*sqrt(1088)*-2 - sqrt(1088)) + sqrt(1088) + 3 + 5).\nAnswer: -80*sqrt(17) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -359. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 - -135. Suppose 2*t = -4*p + 382, j + 60 = p - 2*t. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -829*n**2 - 148*n**3 + 829*n**2 + (n**2 - 3 + 3)*(-2 + 2 - n).\nAnswer: -149*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 1\/60*c**5 + 6*c**2 - 1\/240*c**6 + 0*c**4 + 0*c + 0 + 0*c**3. Factor j(b).\nAnswer: -b**2*(b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - m + 2*m + (13*m + 18*m - 3*m)*(3 + 1 - 6) in the form d*m + s and give d.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, b: 4, g: 2, s: 2}. What is prob of sequence ghh?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 92280?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15109.925 rounded to 0 dps?\nAnswer: -15110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18848\/27 + -698. What is the common denominator of k and 131\/24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n. Suppose 4*z + v = -n*z + 444, 4*v + 333 = 3*z. Suppose -3*m + 492 = z. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1117808 or -1117804?\nAnswer: -1117808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - c89?\nAnswer: -c8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 74, 3, 1, 34, -4 in descending order.\nAnswer: 74, 34, 4, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 70\/4*(-84)\/7. Let x = -97 - g. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -167, -2\/7, 1\/2 in decreasing order.\nAnswer: 1\/2, -2\/7, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Suppose 21 - i = p. Suppose 0 = 5*w - 0*w - 50. What is the remainder when p is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 15) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 6:59 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**3 - 6*x + 6*x)*(19*x + 21*x - 16*x)*(-24 + 4*x - x + 27).\nAnswer: -432*x**5 - 432*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551*f = -547*f + 5*g - 1488806, -g = 6. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4 + 18. Let v be (-2)\/z + (-10506)\/(-70). Let r = 149 - v. Are 0 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - 12*h - 12*h)*(-49 - 42 + 82 - h) to z + n*h**2 + j*h and give j.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -10*w + 1. Let g be v(-2). Suppose 3*y + 59 = 5*s - 1, y = 0. Let h = s + g. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1)\/(2398\/(-110) - -22).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (1\/(-5) - 316\/20). Suppose 0 = 11*o + u + 9. What is the remainder when o\/3 - (-1328)\/12 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 14, -2\/3, -1\/2 in decreasing order.\nAnswer: 14, -1\/5, -1\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3442037\/5116890 - -49\/7258. Let o = -3\/235 + u. Factor 0 + o*r**2 - 2\/3*r**4 + 0*r + r**3.\nAnswer: -r**2*(r - 2)*(2*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 3. Let i(m) = -7*m**3 + 2*m**2 - 2*m - 4. Let j be i(w). Let k = -81 - j. Round k to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 17. Let a = p + 19.2. Let z = -14 - -18. Do a and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -252\/23 smaller than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**4 - 8*j**4 + 621 - 622 - 2*j + 2*j**2 + j**3 in the form i + r*j**3 + s*j + f*j**4 + x*j**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - 5*b - 230. Suppose 15*a - b = 13*a. Let v = 36 - a. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*(i\/i**(-1\/2))\/i*(i**0*i*i*i)**(-1\/14))**(1\/68) assuming i is positive.\nAnswer: i**(1\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 41538*d + 539784. Calculate g(-13).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128814469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 65\/(20\/4) - -3. Let g be 5 - ((-7)\/14)\/((-2)\/x). Suppose 0 = -2*y + 23 - g. Solve 0 = b - 3*m + y, 3*b + 17 = 3*m - 2*m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 43.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1828330701 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -2*o + c, 100 = 3*o - c + 3*c. Suppose 0 = -5*x - 2 + o. Suppose b - x + 3 = 0. Solve -7 - b = -2*l, -4*l + 36 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -1, 1\/5, -0.1, 2\/167?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.04056976 * -0.3\nAnswer: 0.012170928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 19*s**2 - 86*s + 29. Determine i(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r**3 + 2*r - 5. Let y be q(3). Let v = -1078 - y. Let u = 1005 - v. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3. Let k be r(-1). Let t be k + (14 - 1)\/1. Let d be (-14699998)\/(-7) + 4\/t. Round d to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 78? (a) 1 (b) 2\/11527 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150269054 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1432*x**2 + 22*x - 4. Let j be l(1). Calculate the highest common factor of j and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-336))\/(7\/(-28)) + 0 + 1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 8*x**2 - 9*x - 14. Let s be w(-7). Suppose 5*n - 6*n = 5*i - 58, s = 5*n - 5*i - 170. Calculate the highest common factor of n and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -28, -0.4, -1\/3, -2, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 499 = 2*w + 55, 2*w - 440 = 4*r. Is (w - 11)\/(2 + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6923 - -1315. Suppose -40*k + 3282 = -y. Calculate the greatest common factor of k and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44372 is divided by 134?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(76))*-4 + sqrt(76))**2 - (5 + sqrt(76) + -3).\nAnswer: -98*sqrt(19) + 746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*i**5*s**2 + 3*i**4*s**3 - 11*i**2*s**3 - 7*i**2*s**2 wrt i?\nAnswer: -3240*i**2*s**2 + 72*i*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17) + 5 + 0)**2.\nAnswer: 12*sqrt(17) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 9. Let b be w(8). Suppose 5*g - 5*i = 40, -3*g + i = -0*i - 32. Let a = g + b. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111210002 + -1102120?\nAnswer: -2120012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60985840 a multiple of 1552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -24. Suppose -3*n = -3*f + 1 + 5, -2*f + n + 3 = q. Sort f, -3, 6 in decreasing order.\nAnswer: 6, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7988630 divided by -1690.\nAnswer: -4727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -5*d**8\/336 - 2*d**7\/35 + d**6\/120 + d**5\/5 + d**4\/6 + d**2. Find v, given that q(v) = 0.\nAnswer: -2, -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 210*p + 1130 + 6640 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 462 - 2123?\nAnswer: -1661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3 - a**3 - 127*a + 0*a**3 + 126*a + 3*a**2. Let b be z(2). Let s(n) = 55*n**2 + n + 2. Is 35 a factor of s(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -165 - -12642?\nAnswer: 12466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*u + 8. Let x(s) = 4*s**3 + 2*s**2 + s - 1. Let w(o) = 21*o**3 + 11*o**2 + 5*o - 5. Determine u*w(i) - 11*x(i).\nAnswer: -2*i**3 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104105989 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 52*n**2 - 23*n - 14. Let f be k(27). Suppose 3*z + 5*u = 816819, -5*z + 3*u = -2*z - 816819. Let m = f - z. Round m to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7447645*h**2 + 3*h - 80916250.\nAnswer: 14895290*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 - (34 - 4) - (-1 + 5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 14*r - 1065. Suppose 5*c + 2 + r = 0. Calculate the common denominator of c and 41\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3685 and 4.865?\nAnswer: 17927.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 - -110. What is the closest to -1 in u, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 + 18*u - 6. Let i be w(9). Let x be 6\/((-5)\/(-20)*i). Suppose 34 = 2*s - 3*r, r = s - 0*r - 18. Sort 1, s, x in decreasing order.\nAnswer: s, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooovyvvvvoyo. What is prob of sequence yyo?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -776, -1936, -3596, -5750?\nAnswer: -8392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*y**2 - 5*y**3 - 446*y**2 + 224*y**2.\nAnswer: -5*y**3 + 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0326 + -35.7326. Let v = n - -36. Which is the closest to -1? (a) v (b) 1\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67.25 + 24.23. Let s = -0.02 - k. Let v = s - 43.0073. What is v rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*f - 41667 = -38352 for f.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/7 - 786*v\/7 + 51483\/7.\nAnswer: 3*(v - 131)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1404\/5 - -6667\/15. Let t = a - 5545\/33. What is the common denominator of t and -24\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 - 2*j**4 + j**3 - 3*j**2 - 4*j**2 to f*j**2 + n + k*j + h*j**4 + p*j**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 854*s - 5124. Let f be r(6). Sort 6, -1, 2, 36, f.\nAnswer: -1, f, 2, 6, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(240\/9 - 3). Let b = -16 - s. List the prime factors of b.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 19 = 49. Let y = -10 + b. Suppose -20*z + 82 = 22. Solve y*f - z = 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.86 - 0.14. Let q = 17 + -21. Let r be (-5 - -2)*q\/(-27). Which is the nearest to -7? (a) r (b) k (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3783193 by -41.\nAnswer: 92273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 - 632*u**3 + 99856*u**2.\nAnswer: u**2*(u - 316)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -81380000 rounded to the nearest 1000000?\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -14 - (-23 + 7 + -26 + -10)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745799582?\nAnswer: 2, 11, 109, 311009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45, -142, -337, -678, -1213?\n\"Answer: -8*c**3 - c**2 - 38*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*b + 62*b = 66*b - 10108 for b.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/11)\/((6\/(-770))\/((-558)\/930)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28*24\/192)\/((-2)\/8*-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)\/(s\/(s**(-7)\/s)))\/(((s\/(s\/(s*s**(-2\/3))))\/s)\/s*s*s**4) assuming s is positive.\nAnswer: s**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10863883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(1*3\/3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2091*b - 1425 wrt b.\nAnswer: -2091","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*z - 69*z = -9*z - 370. Calculate the least common multiple of 84\/2*(3 + -1) and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, -68, -239, -466, -743, -1064?\nAnswer: -1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1284 - 1306 - (-3 + 1 + 13).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 18*f**2 + 14*f + 100. Determine j(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - x - 202 = x, 5*x = 4*s - 148. Let d be (-1)\/5 + s\/60. Which is the nearest to 0? (a) 2\/5 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 630974466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12648 divided by 6324.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 6. Let g = q + -13. Let x(b) = b**2 - b + 3. Let i(d) = 2*d**2 - d + 6. Let u(s) = g*i(s) - 7*x(s). Calculate u(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 10:17 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.059 + 9.809. Which is the smallest value? (a) 5 (b) q (c) -2\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -293*f - 350*f + 424*f - 131*f - 144*f as g*f + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238\/(-340)*16\/(-28).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-225)\/7250*730\/(-219)\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/15, 10.3, -0.5, 1\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 > -2512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 709*i. Let u(j) = j. What is s(u(r))?\nAnswer: 709*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(567)*3 + sqrt(63))\/(sqrt(1089) + sqrt(1089)*2) + -3.\nAnswer: -7 + 10*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 6:20 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -2, 2\/9, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q - 7. Let d(b) = -b - 4. Let m(g) = -5*d(g) + 2*i(g). Suppose -r = 5*t - 31, 0 = -12587*t + 12582*t - 4*r + 34. Calculate m(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1762.6092 months?\nAnswer: 1.468841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 59*u**2 + 254*u + 79. Is s(-72) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**3 - 2*s**2 - 10*s - 14. Let j(d) = d**3 - 2*d**2 - 1. Let a(b) = -4*j(b) + t(b). Determine a(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 2*a + 22. What is s(10)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 + 3. Let f = 1.1 + -0.8. Let o = -1.2 - -0.2. What is the third biggest value in o, s, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -767.000114 - -767. Round s to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1898)\/(-219)*3\/2. Solve y + 15*p = n*p - 3, 0 = 2*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/18*81\/(-216))\/(5\/(-180)*-255)\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*y - 32, 2*y + 2*y - 136 = -5*i. What is the tens digit of (-710)\/(-8) - (-6)\/i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14727 is divided by 1330.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-18)\/n)\/(n\/n**(3\/4)*n))**(-15))**(-22\/5))**(9\/8) assuming n is positive.\nAnswer: n**(-24057\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 6 = -2*w, -12 = -3*l - 24. Let f(i) be the second derivative of 9\/2*i**2 + 2*i + 1\/12*i**4 - 4\/3*i**w + 0. What is f(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 - 15*o + 4.\nAnswer: -15*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 4*i**5\/45 + i**4\/6 - i**2\/9 - 16. Find g, given that t(g) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (448\/2352)\/((-8)\/12). What is the smallest value in 4, b, 1\/1055?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75442?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382019159 is divided by 5144.\nAnswer: 5143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(-z - 2*z + 8*z)*(41*z - 19*z - 15*z) in the form c + v*z**2 + d*z and give v.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(sqrt(300)*-1*1 + sqrt(300)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdwa when four letters picked without replacement from wxwdda.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4067 + 50?\nAnswer: 40b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.473 + -0.1\nAnswer: 1.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -237 - -242. Suppose 2*d + 4*q = 7*d + 66, -4*q + 6 = d. Let k = d + 16. Solve p + w*r + 29 = 0, 0 = -5*p - r - k - 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/2 + 5001*((-16)\/24 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + (18\/2)\/3. What is the second biggest value in n, 1\/6, 0.1, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**7\/30 - 23*c**6\/300 - 3*c**5\/100 + 2*c**4\/15 + 2*c**3\/15 + 11*c**2. Determine v, given that a(v) = 0.\nAnswer: -2\/5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223245?\nAnswer: 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f - 10*f**2 + 117*f**3 - 1 - 76*f**3 - 26*f**3 in the form o*f + p + l*f**3 + h*f**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9242461 years in millennia?\nAnswer: 0.0009242461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*d*v**2 + 18031*d*v - 2403264*d wrt v?\nAnswer: -12*d*v + 18031*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, -9.\nAnswer: -9, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 132771164?\nAnswer: 265542328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -1, -270, -3 in descending order.\nAnswer: 4, 0, -1, -3, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-16 + 5 + -5) - (0 + 33)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/((-6)\/15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2316.506 - -2317. Round s to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57915 and 2080.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 753*j - 3756*j = 3393*j - 447720. Suppose 2*n = 2*f - 36, 2*f - 5*n - 12 - 24 = 0. What is the remainder when j is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.31673 to one decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14642926 by 75479.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnqnznfnfnqnnd. What is prob of picking 1 q and 1 z?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007238 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 18 - 20 - 2*f + 0*f to q*f + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*v - 2460 - 2788. Suppose 2 = -2*k + k, 0 = 3*l - 5*k - v. Let m = 110 - l. Solve m*w - 3 = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103041 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133239 = 10*u + 133229 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -1, -26, 0.085 in ascending order.\nAnswer: -26, -1, -3\/5, 0.085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Let y = 163 + 5. Suppose f + q*f = y. Is f a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*k + 146*k + 7275 = -201*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*n = -2*o + 423, -2*o - 5*n + 849 = 0. Calculate the remainder when o is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00025338561 to seven decimal places.\nAnswer: 0.0002534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/18 - 28\/(-56).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35854543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4 = 0, -3 = k - 4*w + 2. Let t = 0.01 + 0.39. Which is the closest to 0.1? (a) t (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t + 0*t - 3*t)*(-3816*t + 3816*t + 15*t**2) - t**3 + 3 - 3.\nAnswer: 29*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k + 4*k + 4392. What are the prime factors of k?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 2. Suppose 5*o = 4*t + 16, m*t - 4*o = -2*o - 20. Let d(b) = -2*b. List the prime factors of d(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3221 (base 4) to base 15\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.454 - -11.5. Let u = 0.546 - z. What is the closest to 1 in 0.3, u, -1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 + 22\/5. Suppose -3 = 2*k + 1, -n*k - 4 = 2*s. Suppose s*q - 58 = -0*q. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 4) + -8 + -1 + (-91 - (12 + -11)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 7. Let s be u(6). Let o = 3.3 - 17.3. Let x = 10 + o. Which is the second biggest value? (a) x (b) s (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28688, 4, 124, -5 in descending order.\nAnswer: 124, 4, -5, -28688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 75280.7 minutes in seconds?\nAnswer: 4516842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -218227931532.\nAnswer: -218227931532.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2 + 1000*l + 21032 = 0. What is l?\nAnswer: -478, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.4 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43968992 by -10992248.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2*v**3 - 13*h**2*v + 21*h**2 + 15*h with respect to v.\nAnswer: -6*h**2*v**2 - 13*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31406*u - 31400*u. Solve 5*v = u, -23 = 2*o + 4*v - 21 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85 - 101*c + 85)*(2*c**2 + 4*c**2 + 2*c**2).\nAnswer: -808*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**3 - 9196*g**2 + 18386*g - 9192 = 0.\nAnswer: 1, 4596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 856.0394 hours to minutes.\nAnswer: 51362.364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 7. Let a be n(0). Let y(f) = -f**3 + 6*f**2 + 7*f + 2. Let i be y(a). Suppose i*v + 3 = -1. Are v and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 51343376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l = -6057. Suppose 0*x + 3*x + l = 0. Let n = -470 - x. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = z - 15*h, 5*z + 21*h - 16*h - 2*h - 26 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(136)\/sqrt(8) + 2)**2 + -4.\nAnswer: 13 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 39487, 2 in decreasing order.\nAnswer: 39487, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z + 242 = -65*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 82275032.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 1:07 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 181*d**2 + 332*d + 558. Calculate q(-3).\nAnswer: 1191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35*j**3*o + 2941*j**3*v + 145*j**2*o - 250*j*o + 12*j*v - o*v - 46*v wrt v?\nAnswer: 2941*j**3 + 12*j - o - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 111?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27500.8 - -27501. Let c = 0 + 0.1. Let y = -0.3 + 0.8. What is the nearest to y in -3\/7, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 100\/7. Let l = 103 - 114. Let h = -12.2 - l. Sort h, 0.4, -4, z in descending order.\nAnswer: 0.4, z, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((-928)\/9)*((-64280)\/(-4020) - 16). Which is greater: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22977573 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 398, 519, 640, 761, 882, 1003?\n\"Answer: 121*j + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13385 divide 576850253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13030719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3*p = 9, 2*c + 12 = -3*p + 7*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 131974 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -5) + 5 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7483.221 centimeters to kilometers.\nAnswer: 0.07483221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 + 116. Solve -5*l = -q + 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88889 is divided by 313.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**5\/60 - 13*q**4\/12 + 13*q**3\/2 - 41*q**2. Let j be x(25). Solve 0 = 4*t - 2*b - j, b - 11 - 6 = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 0 - (-294 + 53 - -234)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -54798\nAnswer: 1\/18266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -29325.1 and 0.32.\nAnswer: -29324.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50400 divided by 720?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42507 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 (((sqrt(275) - (sqrt(275) + sqrt(275) + 0)) + 0)*-5 + (-1*sqrt(275)*3 - -1*(sqrt(275) - (sqrt(275) + 0))))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(1*sqrt(117) + -1)*-3 - (-1 + -6*(0 + sqrt(117)) + 3 + (sqrt(117) + (sqrt(117) - (sqrt(117) - (sqrt(117) + -1*sqrt(117)))) - sqrt(117))))**2.\nAnswer: -702*sqrt(13) + 9649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 5*z**2 + 7*z + 68. Let h be x(-8). What is the greatest common factor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/4560 and 199\/28560.\nAnswer: 542640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -48*t + 869. Calculate w(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -496 - -725. Let u = p - 229.3. What is the closest to 6\/25 in 3, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/18096 and -10\/1131.\nAnswer: 18096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-4))\/(1\/4). Let s be -1*0\/t + 2. Let x be 12\/(-30) - (14\/(-10) - 4). Sort -5, x, s in ascending order.\nAnswer: -5, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 86 and 293336?\nAnswer: 25226896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 88\/(-2) + -2 + 0 + 2. Let o = w + 65. Calculate the remainder when o is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**6\/120 + 7*o**5\/30 + o**4\/2 - 4*o**3\/3 - 15*o**2. What is r(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n**2 - n - 1. Let u be l(-1). Let f be 12\/16 + (-558)\/(-24). What is the highest common factor of f and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 2*l**2 + 453*l - 453*l. Let i(n) = -24*n**2. Give j(i(v)).\nAnswer: -1728*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (66\/9)\/(4\/6). Let c = u - 6. Suppose -2*i + 58 = -p, i + 2*i + c*p - 113 = 0. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*s + 12 = 0, -2*k + 39 = -3*s + 50 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*m + 24. Let u be 2 - -2 - (m + 7). Suppose -u*i + 336 - 90 = 0. What are the prime factors of i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 23. Suppose 4*a + n = 3. Let f = a - -6. Solve -3*t - f = 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6737 and 6.4.\nAnswer: -6730.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*n + 5*r, -5*n + 1 = -r - 34. Let b = 11 - n. What is the second derivative of -5*t**b + 7*t**4 - 2*t + t wrt t?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, k: 7}. What is prob of picking 1 c and 1 k?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 112\/79, -19, 6\/5, 3, 2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 11, -10.7, 0.4, -1\/3, 5, -378?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 11*n**2 + 8*n - 2. Is 18 a factor of o(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 v, and 2 b when four letters picked without replacement from vvvvbdbddbvvddd.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 + 18 = 4*a - 5*i, 0 = 2*a + i + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 23 - 2)*(-1 - z + 1)*(2*z**2 - 4*z**2 + 4*z**2).\nAnswer: 82*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(48)\/sqrt(4))*-1.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16040 + -11553. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49266*a - 16447*a - 15710*a - 16202*a.\nAnswer: 907*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 266 = -462. Does 91 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 - 2*l**3 + 0 + 2 as f*l + j*l**3 + u*l**2 + o and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2204.99999917 + 2205. What is y rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -194*p**4 + 341*p + 384. What is the derivative of s(a) wrt a?\nAnswer: -2328*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -4*r**3\/3 - 10*r**2 - 24*r - 12. Factor d(c).\nAnswer: -4*(c + 2)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3491*z**3 + 5*z**5 - 21*z**2 + 3136*z**3 + 201*z**2 + 170*z**4 = 0.\nAnswer: -36, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 - 34868*b\/13 - 151972178\/13.\nAnswer: -2*(b + 8717)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5*(1 + 2 + 2). Suppose 2*x - 2*d = 3*d + 3888, -u*x - 2*d + 3902 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6965097 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24\/5? (a) 7 (b) 1 (c) 0.4 (d) -1 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -37.1. Let x = -25 - y. Which is the nearest to 1\/3? (a) x (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*x + 415072 - 412573 = 0 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4*(1525\/3375 - 6\/10). Which is the fifth biggest value? (a) -2\/5 (b) z (c) -29 (d) -0.05 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -3\/37, -2, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**2 - 3110*d + 483605 = 0.\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41744*n**4 + 7442 wrt n.\nAnswer: -166976*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 e, and 1 h when three letters picked without replacement from eqhqqhqb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/5 + (-6)\/(-15). Let s = 4\/3 - k. Are 1 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0 - 2. Suppose -j*b - b = -54. Is (-91)\/(-4) - b\/24 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24646098*d**3 + 93132723 wrt d.\nAnswer: -73938294*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixrrrxiiiiiixirwwxr. Give prob of sequence ri.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, 4, 8, -60, 42, -5 in increasing order.\nAnswer: -60, -8, -5, 2, 4, 8, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 5591 - 1281 - 3020 - 1290.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/3)*y\/y**0*y)\/(y**5\/y**(4\/9))*((y\/(y*y*y\/y**4*y))\/(y*y*(y**(-3\/5)*y)\/y*y))\/((y*y**(-6)*y)\/(y\/y**(1\/2)*y)) assuming y is positive.\nAnswer: y**(289\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {n: 11, o: 1, q: 5}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + (-12)\/(-9) + 39\/(-9). Solve -p = 2*t + 3 - 5, -n*t - 8 = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + ((-18)\/(-15))\/((-18)\/30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-96)\/8)*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -116, 118, 664, 1612?\nAnswer: 3052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 61 = 29. Suppose -4*y = -c*y. Solve y = -0*w + 2*w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1540 and 97790?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -394687.21 to the nearest one thousand.\nAnswer: -395000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 12 = -5*w, -5 - 3 = -2*g + 4*w. Let z(f) = f**3 + f**2 - f - 1. Let k be z(0). Sort k, 1, g.\nAnswer: k, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.677 - -0.377. Let v = 18 + y. Sort v, 0.4, 1, 2\/7 in decreasing order.\nAnswer: 1, 0.4, 2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**4\/8 + a**3\/2 + 9*a**2. Let s be m(-3). Let l(o) = 6*o - 9. List the prime factors of l(s).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1498, -1501, -1506, -1513?\n\"Answer: -c**2 - 1497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 276 + -272. What is the second derivative of -9*w**4 + 27*w**4 - z*w**5 + 2*w + 2*w**5 + 13 - 16*w**4 wrt w?\nAnswer: -40*w**3 + 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2.5. Suppose -7*y = -5*i - 3*y + 9, 0 = 2*i + 3*y - 22. What is the second smallest value in n, i, -0.15, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from {m: 3, p: 2, d: 12, f: 1, n: 1}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(4) + sqrt(4)*3*2))**2*-1.\nAnswer: -5\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -7*p**2 - 8*p + 6. Let z = 25 - 35. Let q be s(z). What is the highest common divisor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + (3 - (-15)\/(-3)). Solve 2*o + 15 = y*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-25))\/((-10)\/(-8) - 1023\/620).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, a: 3, d: 3, s: 2}. What is prob of sequence aa?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(288)*2*-5)\/(sqrt(48)\/(sqrt(16)\/sqrt(2)*5)).\nAnswer: -800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4250 by 4.\nAnswer: 2125\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**4\/12 + 25*b**3\/6 + 29*b**2 + 86*b. Calculate the remainder when u(-27) is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f + 0*f + 85 - 91 wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 2)\/((-7)\/(-14)). Determine i so that 4\/5*i**3 + 0*i + 2\/5*i**4 + 0 + 2\/5*i**t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/808 and 53\/16.\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -390 + 1563\/4. Let z = 769 - 767. Which is the third smallest value? (a) z (b) 2\/175 (c) 1\/2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1423.\nAnswer: 2\/1423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27 + -ed?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/244)\/((-2)\/46) and -10\/7.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121*d**2 - 568*d**2 - 211*d**2 to the form b*d**2 + f + u*d and give b.\nAnswer: -658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 44 = 3*j, 4*j - 29 = c + 8. Suppose -3*n - j = -5*n. Let p(s) = -s - 2*s + 0*s + 6. Calculate p(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b13 - -180?\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 6*k**2 + 2. Let a be i(-6). What is the first derivative of m**3 + a*m**3 - 4*m**3 + 3 wrt m?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {s: 5, z: 2, x: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 3 + 4)*(1 + 3 - 1) + (-3 - 2 + 2)*(1 - 2 - 1) + (3 - 1 - 4)*(-3 + 4 + 1) - 29 - 22 + 26)*(-2 - 2 - 1)*(-6 - u + 6) in the form d + t*u and give t.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -9. Let q be -2*-1*s\/(-3). Find the first derivative of -g - 3 + 6*g + 5*g + q*g wrt g.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(77)\/(sqrt(2156) + sqrt(11)) - (-2 + sqrt(7) + 0 - ((sqrt(7) - sqrt(35)\/sqrt(5)) + 5))).\nAnswer: -14*sqrt(7)\/15 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -27. Suppose -m - c - 43 + 4 = 0, -5*m = k*c + 204. Let n = -25 - m. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.6540412 nanograms?\nAnswer: 0.0000006540412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1453732637 to the nearest integer?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (0 - 7 - (-65 + 34)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526*p**3 - 1947*p**3 + 820*p**3 + 612*p**3.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4847814.\nAnswer: 2, 3, 29, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13, 8308, -3, 18\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-1 + 11 + 0 + -23)) + 11 + -143.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5*g + 163735, 2*p + g - 65506 = 3*g. Let d be -3*(p\/(-15) - 0). What is d rounded to the nearest 100?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/27)\/1*6\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93)\/(-30) + -3 + (-2 - -2)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0347685 + -3687?\nAnswer: -3686.9652315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 312*m - 1873. Let l(z) = -830*z + 5618. Let p(g) = 11*f(g) + 4*l(g). Differentiate p(j) with respect to j.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19 and -1137.94.\nAnswer: 21620.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nand when four letters picked without replacement from nnnaddnanadanadan?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10\/45*(-15)\/20 + 1020\/7560\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24016 != -24004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 16*q + 2. Let b be a(-4). Suppose -5*k + 730 = 2*c, -b*k + 454 = -5*c + 133. What are the prime factors of k?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101102 (base 3) to base 11\nAnswer: -1944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2668?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -45, -33, -17, 3, 27?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*w + 29 = -107*w - 334 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**8\/23520 - o**7\/4410 - o**6\/2520 + 7*o**4\/24 + 16*o**2. Let x(s) be the second derivative of f(s). Factor x(v).\nAnswer: -2*v*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 1\/4*f**2 + 2 - 3\/2*f = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.5 - -99.5. Let g = -115.9999565 + o. Round g to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14\/(-2))\/(-7))\/(1*4\/(-132)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 9*b**2 - 4*b + 3. Give v(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53941*p - 53945*p = -3*b - 4, 0 = -2*p + b + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 29276 (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(114) - -2*sqrt(114))*1)\/(sqrt(384)*-2*-5).\nAnswer: 3*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52*c + 137 - 137)*(3 + 21*c - 3) to x + y*c**2 + d*c and give y.\nAnswer: -1092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 506396\/12 + 3 + (-174)\/261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 + 177. Let i = 0.3 + -0.2. Which is the closest to i? (a) j (b) 2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4 - (-15)\/4) + 1805. What is the greatest common divisor of p and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 - 143*a - 3823. Determine g(-42).\nAnswer: -3109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 854+-16.41\nAnswer: 837.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2494*m = -2370*m - 744 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 116.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 - 105*x**2 + 209*x + 55. Let i be n(33). Solve -3*f = -421 + i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 3, -2, 4 in decreasing order.\nAnswer: 4, 3, -2, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1193, 15.7, -1\/6?\nAnswer: 15.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t + j = -28, 2*j + 6 = 0. Suppose -3*r = -t*r. Suppose 2*i + 3*i = r. Solve -5*x - 4*c = -c + 2, -2*x - 4*c + 2 = i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - -3827?\nAnswer: 3838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 5*v - 2. Let g = 9 + -15. Let i be k(g). Suppose -3*n - 149 = -j, -j - 3*n + i*n = -149. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471289?\nAnswer: 7, 13, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 129, -8, -281, -9 in descending order.\nAnswer: 129, -8, -9, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 426.639802 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 5*s = -71, 29 = w + 56*s - 54*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/(-10) - 4\/10. What is the remainder when (41\/2)\/(c\/(-6)) is divided by (2\/4)\/((-2)\/(-56))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2178174?\nAnswer: 2, 3, 73, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 443*q**2 - 831*q**2 - 749*q**2 - 219*q**2 - 193*q**2 to n*q + v + r*q**2 and give r.\nAnswer: -1549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 - (14 - 60) - -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 86b - 3?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47096689.\nAnswer: 853, 55213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z - 5*z - 2 + 3 - 2*z**3 - z**2 + 4*z**3. Let n be g(1). Calculate the highest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u - 3*u + 1368. Let j = u - 143. Let w = -6 - -21. What is the remainder when w is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/11 - 397396*a**3\/11 - 19736473192*a**2\/11 + 394858627540*a\/11 - 1480831632150\/11 = 0 for a.\nAnswer: -99359, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15751 is divided by 101?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2375 (base 16) in base 10?\nAnswer: -9077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8519.292 weeks to seconds.\nAnswer: 5152467801.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 23 + 5 + -19?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-216)\/99 - (-6)\/33?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144578185.\nAnswer: 5, 28915637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (0 - 5)) + -8 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -637192 divided by -4.\nAnswer: 159298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 2:39 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 696 - 411. Suppose -2*v = 2*b - 242, -2*v - r = -5*b + 320. Suppose 0 = 3*h + 15, 3*h + h - b = -a. What is the remainder when a is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2500\/(-180))\/25*3\/(-2)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in -5, 0.02361, 2\/17?\nAnswer: 0.02361","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -6.3, 2\/5, -1\/14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s - 4*y + 42, 53 = 3*s + 4*y. Suppose -a - 9 = -4*a + q, -4*a + q = -s. Solve 3*c = a*m + 25, 3*c = c - 5*m - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 103260 and 25815?\nAnswer: 103260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1122.83*-0.3.\nAnswer: -336.849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times 605\nAnswer: -84.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 2:12 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99065\/7476 - 2\/1869. What is the common denominator of 155\/42 and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - (-2370)\/(-60))*(-12)\/3*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 4*f - 1. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11883 is divided by 5940?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from {t: 2, a: 7, f: 4}.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 39. Suppose -4*i + 19 = n, -3*n + 2 = -m. Let u = -4 - -6. Calculate the greatest common divisor of u and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*x + 17333 = -9127, -3*d = x - 26451. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3632438 to the power of 1\/2, to the nearest integer?\nAnswer: 1906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6004308 and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*l - 7 + 7 to c + g*l and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 n when four letters picked without replacement from cihhnhnjchinxchnhii?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 280877*p**2 + 64076*p?\nAnswer: 561754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 367 + -169. Calculate the highest common factor of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(3) + -1 + 2 + -3) - (((sqrt(3)*4)**2*5 - (2 + sqrt(300))) + -2).\nAnswer: -230 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -18. Let b = -2 - l. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4819 - 1271 + 15856 = 28*d. Calculate the smallest common multiple of d and 35.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**4\/8 + m**2. Let k(u) = 57 - 3*u - 57 + u. Determine k(n(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12548257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -3. Suppose -25 = -3*o + j. Suppose c - 1 = -2, 5*l - 4*c = 4. Solve -h - h + o = l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 + 33*q**2 + 29*q - 191. Give a(11).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 411 + -198. Suppose -3*o + 161 = -5*l, -5*o - z = 4*l - 62. Let v = l + 36. Solve -m = -v*m + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-11)\/(165\/70))\/((-36)\/3834) is divided by 133?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150 + 150. Let d be ((-5)\/(-4))\/(1\/4). Solve g*m = 5*m + d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 891 + 1199 = -124*u - 762 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 44 = 5*k - 954, -794 = -4*k + f. Let h be (1 - -1) + 3 + -31. Let m = h + 44. Calculate the highest common factor of m and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7)**33*(w\/w**14)\/(w*w**(-1\/12)) assuming w is positive.\nAnswer: w**(2605\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**2 - 165*t**2 - 7 + 6.\nAnswer: -176*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -89, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.125, -0.3, -339?\nAnswer: -0.125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05831 rounded to 3 dps?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**3 - o**2. What is l(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 + 0*g**3 - 58 + 56 - g**2 to the form p + v*g + u*g**2 + d*g**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 535512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 23, 53, 93, 143, 203?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 2083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/53 (b) -65 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.7, -3\/14, -0.3, -1\/7, -4, 2.37?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -889178 divided by 4\nAnswer: -444589\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2. Let o = -5 - -8. Let t(k) = 3*k + 3*k**2 - o*k. Let v(j) = 5*i(j) + 2*t(j). Let z(f) = -2*f**2. Determine v(z(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*l = -q - 17, 0 = -2*q + l + 67. Suppose -2*f = -4*a - 52, f + 5 = -2*a - 25. What is the least common multiple of (a + 10\/(-5))*-3 and q?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 - 11.6. Let i = 13.3 + x. Which is the third smallest value? (a) 4 (b) 7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 + -5 + -4 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millennium in years?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -206*i + 60*i - 5298 - 2*i**3 - 485*i - 78*i wrt i?\nAnswer: -6*i**2 - 709","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 386 and 1073517338?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 - 40. Let c = -416 - -412. List the prime factors of k*c\/(-12)*6.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y + 5. Let c be l(0). Suppose 2*g = g + c. What is the second smallest value in g, 1\/3, -1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4390*y + 8766*y - 4375*y - 1.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.11256 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 150*q - 4356. What is o(29)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*c = 26*c + 14028. Suppose 0 = -4*g + p + 1228, 3*g - 4*p - c = 407. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 + -2103?\nAnswer: -2005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/94 - -409\/4230. Put x, -10\/7, -2\/19 in decreasing order.\nAnswer: x, -2\/19, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*u**3 + 2*u**2 - 15*u**3 + u**4 + 2*u + 2 - 5*u**4 - 5*u**4 in the form c*u**3 + h*u + l*u**2 + z + s*u**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 190*m**2 - 12*m - 5. Is b(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3) - (sqrt(3) - (1 + sqrt(3)))) + 0 + 1)**2*-4.\nAnswer: -124 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2676714 a multiple of 833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*r + 0*r + 4*r)*(-2*r**2 + 0*r + 0*r)*(-5 - 2 + 2) to x*r + q*r**2 + y + c*r**3 and give c.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/8, -4, -2\/7, 0?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877773?\nAnswer: 3, 13, 71, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 881965.\nAnswer: 5, 7, 113, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 - 68. Sort -14, u, 0.1 in ascending order.\nAnswer: -14, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyiilririyyiiiii. What is prob of sequence yy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 155*a. Let w(m) = -5*m**2. Determine x(w(p)).\nAnswer: -775*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.206829336 rounded to 5 dps?\nAnswer: -0.20683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87267, 87253, 87249, 87261, 87295, 87357, 87453, 87589?\nAnswer: 87771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 46 - 58. Let t be k*((-36)\/8 - -4). Let a be (t - (-5)\/(-2))*6. Solve 2*w + 1 + 6 = -3*o, -2*w - a = -o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 4 + d**2 + 2*d**2 + 3*d + d. Let k be i(3). What is the greatest common divisor of k and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30228870, 30228879, 30228890, 30228903, 30228918?\n\"Answer: u**2 + 6*u + 30228863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -10*q - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (33 - 27)\/(4\/(-24)*-9). Solve 6*b + 6 = 9*b, -o - k*b = -5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 15*u**2 - 13*u + 17. What is v(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 19, -2\/47, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {k: 1, w: 2, q: 5, h: 2, f: 2, y: 5}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9449*i. Let o(s) = -52216*s + 3*s**2 + 52216*s. Determine o(r(k)).\nAnswer: 267850803*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 17*l - 4*x + 6136 = 0, -2*l - 2*x = -4094. Let u = 2888 - l. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 5312*v**2 + 392765*v - 1830900.\nAnswer: -(v - 68)*(v - 5)*(v + 5385)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 30 = 5*z - 3*t, 18 = -3*z - 4*t. Let h(o) = -o**2 - 6*o. Let b be h(z). Solve b = -w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q + 6 = -4*w, 2*w = -5*q - 7. What is the least common multiple of 2 and 4\/(-12)*w*39?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2bd8 + -832a?\nAnswer: -5532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116 + -137 - 98\/(-42)?\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1090\nAnswer: -1\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 12:11 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in 1\/14, -0.3, -2, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 5:53 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*p + 82*p + 25 = -4*z, p - 4*z - 13 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1029 - -1686. List the prime factors of v.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 0)*226\/(-1130)*(-50)\/4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20183174 and 836?\nAnswer: 766960612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37438*a**4 - 144*a**2 - 54 wrt a.\nAnswer: 898512*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.4, 0.3921, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/180 and -11\/432.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 278, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 81 - 69 = 0, -9*x = -2*n - 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 152179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-9))\/(4\/12))\/(413\/7434)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 148 and 42?\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2, 1.8, -6, -193\/25 in descending order.\nAnswer: 2, 1.8, -0.1, -6, -193\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-36))\/(70\/4).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*sqrt(132) - (1*sqrt(132) + sqrt(132))*-3)\/(-2*sqrt(12)*5 - (sqrt(972)*1 + sqrt(12) + sqrt(12))).\nAnswer: -8*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e7d + -3?\nAnswer: e7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272797209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -114*a + 48. Let d(p) = -12*p + 5. Suppose 8*q - 287 = 97. Let y(m) = q*d(m) - 5*g(m). Let c(i) = 2*i**2. Give c(y(r)).\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -235 bigger than -171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 + 135 = 12*u. Let w = -3 - -2. What is the nearest to -1 in w, 0.4, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Let j be (-235)\/(-25) + 6\/10. Let z be 2802\/10 - m\/j. What is z rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 380962 (base 11) to base 6\nAnswer: 20520234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/6 + (-4)\/12. Let z = 42.5 + -43. Put z, 1\/2, b in decreasing order.\nAnswer: b, 1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/3))**35*(q**(-22))**(-9))**(-50) assuming q is positive.\nAnswer: q**(-26200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8*k**3 + 4*k**2 + 3*k + 2. Let t be c(-5). Let p = t + 1343. What is the units digit of 4\/(-14) + p\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620227 to the power of 1\/2, to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a + 38. What is b(0)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 + -68. Let k(z) = 2*z**3 - 1. What is k(l)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 8*k + 2. Let n be o(-8). Solve n*d - 5*d = 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4600 = -3*c, 2*a + 3*a + 1546 = c. What is the units digit of (1\/3)\/(8\/c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-6)\/4*4. Suppose b + 1 = -r. Put 2, 5, b in descending order.\nAnswer: 5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 310201 + 1045?\nAnswer: 311250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**4\/3 - 2*v**3\/3 - 4*v. Factor t(b).\nAnswer: -4*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6112, -12228, -18344, -24460, -30576?\n\"Answer: -6116*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4895032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s**2 + 8 - 3 - 1 to l + c*s + b*s**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7*x**2 - 3*x - 2. Suppose -339 = -3*w - 342. Calculate r(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -893 divided by -19.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 69492?\nAnswer: 764412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 165495\/(-1989) + 1 + 82\nAnswer: -8\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 7 = -3*k, t + 6*k + 3 = 4*k. Let c be (-18)\/(-30) + (-3)\/t. Solve y = -2*r - c*r - 7, -2*r + y - 1 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**4\/12 - 7*a**3\/6 + 13*a**2\/2 - 176*a. What is l(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-5)))**(-15)\/(k**(-2\/5)*k)**(1\/34) assuming k is positive.\nAnswer: k**(-12753\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1666 - -88. List the prime factors of z.\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5500.4 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 4, -38, 2, -3.\nAnswer: -38, -8, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -0.2 (c) 0.3 (d) -0.21 (e) -2173 (f) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50881856 by 4.\nAnswer: 12720464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9704.\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4176843 (base 9) to base 5\nAnswer: -1033021201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 12*k. Let u(q) = 6*q - 22*q + 3*q + 11*q. Determine h(u(f)).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 937 - 145. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xddxwjsexjwjdwdxs. What is prob of sequence sw?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -268874 divided by -1?\nAnswer: 268874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1)\/(((-12)\/(-88))\/((-108)\/1782))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}