diff --git "a/data/dm_maths/full_data/10659_11255.jsonl" "b/data/dm_maths/full_data/10659_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10659_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Convert 330 (base 9) to base 3.\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -1\/20*o**6 + 263*o**2 + 2*o**4 + 0*o + 1\/60*o**5 + 0*o**3 + 0. Find the second derivative of d(z) wrt z.\nAnswer: -36*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/164 and 107\/60.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2*(-18)\/64)\/((-30)\/(-8)) and -31\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(8\/(-10))*14. Suppose -4*o = -2*p + 366, -3*p = -10*o + 5*o - 545. What is the greatest common divisor of p and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57\/184 + 10\/23. Let n = 2257\/4 - 12817\/20. Let f = 77 + n. What is the nearest to f in -2, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-112739)\/10249)\/(2\/(4\/14)).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681*h - 100*h + 41*h.\nAnswer: 622*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(7 + 1 + 4)*(4*p - 3*p + p)*(3*p**2 + 3*p**2 - 7*p**2).\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 9*s - 2. Let p be u(1). Solve -2*j + 1 + p = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, x: 4, o: 1, a: 5, d: 4}. What is prob of picking 2 d and 1 l?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2318 (b) 29\/6 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1510 - -1502. Put 0, f, 5, -1 in descending order.\nAnswer: 5, 0, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f13ef - -1?\nAnswer: -1f13ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -396*v + 28. Let j(z) = -44*z + 3. Determine 28*j(h) - 3*s(h).\nAnswer: -44*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 6*n**2 - 6*n - 8. Let s be p(-6). Let a be (-2)\/(-7) + (-92)\/s. Let h(c) = -c**3 - 2*c**2 + 2*c - 4. What is h(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 9*t**2 + 8*t + 3. Suppose -8 = 2*v - v. Let u be j(v). Suppose -u*w - 83 = -221. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-8)*6)\/(1\/85). Suppose 3*r - r - 5*t - 512 = 0, r - 2*t - q = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1816243747.\nAnswer: 199, 9126853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7022592949331 - 0.5.\nAnswer: -3.2022592949331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 2:58 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*w - 10. Let o(a) be the third derivative of a**5\/20 + a**4\/6 - a**3 - a**2. Is o(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 1632*d**2 + 2 - 7*d**2 + 1178*d**2.\nAnswer: 2*d**3 + 2803*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-46))\/(2\/(-18)). Let r = -1333\/115 + d. Find the common denominator of r and ((-3)\/(6 + 0))\/((-16)\/(-360)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64100 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 447745917?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1054047 is divided by 4623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516*y - 507*y = 459. Let t = -3 - -3. Suppose t = -i + g - 8 + 26, 2*i - y = -3*g. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9966468 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109 + -103. Suppose 534 = m*i - 264. Suppose -131 = -8*x + i. What is the highest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 328 (base 11) to base 3\nAnswer: 112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 916 + 3*v + 3*v + 787 - 3*v - 2*v.\nAnswer: -2*v - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 95254807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -20*c**3 + 8*c**2 - 41*c + 4. Let v(y) = -y**3 + 2*y**2 + y + 1. Determine -a(j) + 4*v(j).\nAnswer: 16*j**3 + 45*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g - 24. Calculate i(-20).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 31. Let i(j) = 22*j**2. Give i(d(b)).\nAnswer: 22*b**2 + 1364*b + 21142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i + 1474 = 26*i. What is the remainder when 42 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -5 - 4) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-68)\/(-58) + (-5 - -4). Let m = w + 1855\/174. Calculate the common denominator of m and 109\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -1. Let g = -0.103 + 4.103. Which is the closest to q? (a) g (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 9*p**2 + 12*p - 21. Let z be (4\/3 - 19\/3)\/(-5). Let v be (-2)\/(-3 + 3 + z\/(-5)). Determine g(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 7*i - 18. Let d be y(-11). Let s(m) = -m + m - 9*m - d + 12*m. Let p be s(10). Solve 6 = 2*k - p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 24*s + 8164. Let g be h(100). Calculate the greatest common divisor of g and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*x - 6059 + 2859 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 14*g + 1. Let h be b(1). Suppose -h = -3*q - 2*d, d = q - 0*q. Let a = q + -2. Let j(x) = 5*x**2 + x - 1. Give j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84*x + 28*x**3 + 10 + 36*x**3 - 42 - 70*x**3 - 58*x**2.\nAnswer: -2*(x + 1)*(x + 8)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2 - 1 + 0. Suppose x + 3 = -3. Let g(y) = -9*y. Let r(p) = 5*p. Let j(o) = x*g(o) - 11*r(o). What is -b(v) - j(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2*d - 350, 5*v - 184 - 254 = -2*d. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 + 4*q**3 - 2*q**3 + 0*q**2 + (-1 + 1 + 2*q)*(0*q**2 - q**2 + 4*q**2).\nAnswer: 8*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 3*c + 8, 16*c = n + 12*c + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/85)\/(9\/(-2340)*4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1218*u**2 - 392 wrt u?\nAnswer: 2436*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 111002 (base 3) to base 13\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 8*s - 2*s + 24 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * -2415166.\nAnswer: -50718486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/4))**(-6\/5)*(j\/(j\/((j*j**(-2))\/j)*j))**12 assuming j is positive.\nAnswer: j**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1246282 is divided by 415424?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 98770274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*h = h + 18, -5*i = -24*h + 126 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + m = -4, 5*j - 2*m - 2 = j. Let p = -331 - -342. What is the nearest to j in p, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -1, -5, -0.2, 0.29, 1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xms when three letters picked without replacement from esddeeggxxesgxxgmese?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2772 = 47*m + 133*m - 48*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.6 + 4.6. What is the nearest to -1\/3 in 6\/5, r, -2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105 - -105. Let s(h) = -h**3 + 5*h**2 + 133. Calculate the remainder when s(v) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-6))\/(130\/(-15)). Let c = 4 + -7. What is the third smallest value in v, 2\/9, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 701, 700, 699, 698?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q. Let b(s) = -7574*s. Give u(b(o)).\nAnswer: -15148*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and 3774?\nAnswer: 30192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 124161 equal to 6456447\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**5 + 2*h - 1. Let r(p) = -15*p**5 - 70*p**4 - 65*p**3 + 1260*p**2 - 1640*p + 10. Let c(m) = -r(m) - 10*s(m). Factor c(w).\nAnswer: 5*w*(w - 2)**2*(w + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27581990 to the power of 1\/2, to the nearest integer?\nAnswer: 5252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 124783 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -95\nAnswer: -3\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2684.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 210957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, y: 17}. Give prob of picking 3 b.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (146 + 160 - 202)*(0*v**2 + v**2 + 0*v**2)*(2 - 2 - 2).\nAnswer: -208*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6037 is divided by 49.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + -19 + 39 + 10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 693 = -12*t + 13*t - 4*i, -3*t + i = -2134. What is the highest common divisor of t and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 14136811454474.\nAnswer: 14136811454474.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = q. Let y(k) = -9 + 9 + q + 2*k - k. Let n be y(4). Solve -4 = -2*b - 2*d, d - 10 = -n*b + 4*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124 - 117*q**2 - q - 11*q + 13*q + 118*q**2 - 3*q**3 to the form i + f*q**3 + t*q**2 + d*q and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 3*j + 129. What are the prime factors of j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3\/3 - 10*t**2\/3 + 4*t + 24 = 0. Calculate t.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 113022 (base 4) in base 7?\nAnswer: 4215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = j - 2*j + q, -2*q + 12 = j. Suppose -5*x + 15 = 0, x = -j*o - 2*x + 93. Is 13 a factor of 1314\/o + 4\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -1\/50, 1, -28, -5?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 77, -3 in descending order.\nAnswer: 77, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 759430.7 decades?\nAnswer: 91131684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 2.21052 and 61 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8062, -12944, 4 in decreasing order.\nAnswer: 4, -8062, -12944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 6*n - 4. Let i(k) = -2 - k**2 - 7 + 5 - k. Let x be i(0). Give h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -102.3381 and 196.\nAnswer: 93.6619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(5547\/(-416025))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(2*q**5 - 8*q + 2*q + 5*q) + (8*q**3 - 9*q**4 - 8*q**3)*(0*q + 5*q - 3*q).\nAnswer: -22*q**5 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*i - 16 = 0, 2*a + 0*a = 5*i + 8. Let r(f) be the first derivative of -16 - a*f + 7*f - f**3 + 3. Find the first derivative of r(x) wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*k = 2684 + 1670 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 7) to base 3.\nAnswer: -2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t - 5. Let o be x(-3). Let l be 1\/6*3*o. Suppose 5*v - 148 = -4*p, 3*p + 0*p - 116 = -l*v. Calculate the remainder when 126 is divided by p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 + 2.2. Which is the closest to k? (a) -0.06 (b) 0.1 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + -2*sqrt(1700) + sqrt(1700) + -2*sqrt(1700) + 1) - (-4 + (sqrt(1088) + 1 - ((sqrt(17) - sqrt(34)\/sqrt(2)) + 1))**2).\nAnswer: -1104 - 150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-8))\/(-3)*((-6448)\/(-186) + -40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2321 + -2321.5. Which is the nearest to 0? (a) -0.2 (b) 2 (c) w (d) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -370, -555, -740, -925?\nAnswer: -1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14824?\nAnswer: 2, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(6)\/sqrt(3)) - (sqrt(288) + sqrt(8))*3)\/((sqrt(384)\/sqrt(128))\/(sqrt(60)\/sqrt(45))).\nAnswer: -80*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4, 2*v - 5*r - 214 = -v. Let o = v + -42. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.41164 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130*g**5 + 170*g**2?\nAnswer: -7800*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129 or 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225183, -225089, -224897, -224577, -224099?\nAnswer: -223433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*r = 529, -2*u + r + 0*r + 263 = 0. Suppose -s = -2*p - u, -2*s - 4*p + 154 = -s. What are the prime factors of s?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) + 1173081\/12 + -3. Is v\/4 + (135\/10)\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*w - 176*w = 417*w - 24248 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 28. Let r = k + -3\/2. What is the third smallest value in -2, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - 4*p**3 - 2 + 3*p + 3 - 1 to the form o*p**3 + u*p**2 + i + d*p and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1253 - -1256. Solve k*i = x + 4*x - 25, 5 = x + 5*i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 3*q**2 + q - 1. Let w(x) = x**2 - 3*x - 7. Let u be w(5). Suppose u*f + 9 = 4*s - 1, -3*f = 5*s - 26. What is v(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 9. Let v = -9 + l. Let d be 4 + 1\/1 + -2. Put v, d, 4 in descending order.\nAnswer: 4, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 18, -5, 47.\nAnswer: -5, -3, 4, 18, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1978 + 1973. Which is the second smallest value? (a) m (b) -1 (c) 1\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -2\/3*v**6 + 4*v**2 - 1\/4*v**4 + 0*v**5 + 82 + 0*v**3 - 10*v. Find the second derivative of y(l) wrt l.\nAnswer: -80*l**3 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 1 = r, 2*d = r - 0 - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 12:18 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1376880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04 - -1.96. Suppose -4 = -211*a + 213*a. What is the fourth smallest value in -5, b, -4, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2425 + 647779*j + 5488*j**2 + 15*j**3 + 1797*j**2 - 642934*j = 0.\nAnswer: -485, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t + 8 = 0. Let c(s) = s**2. Let g be c(1). Let v = g - -1. Solve 0 = v*f - t - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387763.\nAnswer: 387763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 3:33 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -5*b + 3*d, d - 27 - 1 = 3*b. Let g be 32\/b*(-40)\/16. Let s be (-1)\/((-1)\/(-4)*1). Sort g, 4, s.\nAnswer: s, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 3. Let f = b - -47. Let u be ((-1)\/(-2))\/(10\/4). Are f and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 + 19*b - 20. Let d(o) = o + 1. Let k(w) = -2*d(w) - n(w). Suppose k(y) = 0. What is y?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-11 - ((-7 - -10) + -6)) + 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b + 170. Let d be (-2)\/8 + b\/20. Suppose 4*z = 3*z + d. Put 1, z, -3 in descending order.\nAnswer: z, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 18. Let j = k + -1. What is the remainder when 7 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3*w + 14 = 0, 5*n + 8*w - 10*w + 24 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -2 + (1 - -1). Let l(b) be the third derivative of -b**4\/24 + b**3\/6 - b**2. What is the units digit of l(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812099 is divided by 7449.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 187 - 24. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, 3585, 13312, 32287, 63600, 110341, 175600?\n\"Answer: 515*r**3 - 11*r**2 - 3*r - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -319478*m - 1277882. Give c(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*(t*t**(-4))\/t*t)))\/t*t*t*t*t**(-8))**(-10\/3))**44 assuming t is positive.\nAnswer: t**(3520\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**19\/(y\/(y**24\/y)))\/((y*y\/y**11)\/(y*y\/y**(2\/9)*y)) assuming y is positive.\nAnswer: y**(475\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2)*(-2 - 3 + 7) + 2 - 3 - 1)*(1 + 6 + 3)*(0*f - f + 0*f)*(1 - 5 + 2).\nAnswer: -120*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1. Let i(h) = -h**3 - 3*h**2 - 2*h - 3. Let m be i(-2). Let w = m - -3. Solve a = d - w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 12, b: 5, p: 2}. Give prob of picking 1 b, 1 p, and 1 u.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 6. Let l(v) = -3*v - 41. Let b(w) = 15*w + 229. Let k(o) = 2*b(o) + 11*l(o). Determine 3*a(i) + 2*k(i).\nAnswer: 3*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9848, -9565, -9282, -8999?\nAnswer: -8716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 1\/105*t**7 + 0 + 0*t + 1\/12*t**6 + 3\/10*t**5 + 2\/3*t**3 + 7\/12*t**4 - 9*t**2. Solve l(g) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -966 - -966.4. Which is the closest to 3? (a) t (b) -0.2 (c) 2 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 0 + 1\/3*k**4 - 17*k - 1\/10*k**5 + k**3 + 0*k**2. Factor x(r).\nAnswer: -2*r*(r - 3)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 30*a**2 + 0 - 1\/1008*a**8 + 1\/1890*a**7 + 1\/360*a**6 - 1\/540*a**5 + 0*a + 0*a**3 + 0*a**4. Solve s(m) = 0 for m.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*o + 25. Let l = 5 - o. Let t(i) = 8*i**2 - 1. What is the remainder when t(l) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 22*w**2 + 26*w - 72. Let r be s(23). Are -2 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - m + 1. Let t(v) = -39*v**2 + 3*v - 2. What is -t(p) - 3*u(p)?\nAnswer: 42*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*c = 124*c + 27, 911 = 5*y + 21*c. Which is bigger: 218 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105 divided by 21083\nAnswer: 105\/21083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -5. Suppose -5*t = -r*t - 8. Suppose -s - 2*i + 5 = 0, 3*s + 2*s = -t*i + 25. Solve s*h - 4*h = 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + 14 - 98*c**2 - 22 + 8 as o*c + u + b*c**2 and give b.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1611550 (base 7) to base 13.\nAnswer: -79a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 902 and 31201?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5082) - (sqrt(5082) - (-3*sqrt(5082) + sqrt(5082) - sqrt(5082)) - sqrt(5082))*-3)\/(sqrt(42)\/(sqrt(7) + -1*sqrt(7)*3 + sqrt(7))).\nAnswer: -110*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + d - 48. Suppose f = 5*f + d. What is the smallest common multiple of 10 and ((-15)\/4)\/(f\/8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 270 + -542. Let s = f - -547. Is s a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + 17 - -3)\/1. Solve a*w - 14 = 61 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**3\/2 + 67*y**2 - y. What is the units digit of w(-38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.8789ms in microseconds?\nAnswer: 108878.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290057656.\nAnswer: 2, 7, 739943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75\/2 of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1236 + -792. Let d = 266 - v. Let j = d + 177.9999596. Round j to six decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 - 423 - 476 = 670*c - 101 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1057, 2111, 3165, 4219, 5273, 6327?\n\"Answer: 1054*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10908308*v**3*x**4 + 17*v**3*x - v**3 + 2*v**2 - 118069*v - x**4 + 5*x wrt x.\nAnswer: -130899696*v**3*x**2 - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 411 - 1533 = 0. Let a = 1760 - 2084. Is s smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/10*(-5)\/60.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74770, -149539, -224308, -299077?\nAnswer: -373846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -27. Let y = 0.54 + 14.96. Let k = y - s. Round k to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*d - 1047 + 4671, d = -3*w + 3636. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672459499 to the power of 1\/2, to the nearest integer?\nAnswer: 25932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 3*k**2 - 88*k + 7. Give g(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13335 divided by -21.\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 102, 124, 162, 216, 286, 372?\n\"Answer: 8*h**2 - 2*h + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 8*v + 36. Let z be h(10). Suppose z*r - 13*r - 750 = 0. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 6 = x, v + 5*x = -v + 17 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6853 and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.3, -5, 1.87, -1\/3 in ascending order.\nAnswer: -5, -1\/3, -0.1, 0.3, 1.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*s - s. Let t be (-28)\/s + (-1)\/(-5). Solve 23 = -2*a + t*h, -2*a - h = -0*h + 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101011 - 1?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 7*p**2 - 16*p + 1. Let a be d(9). Let r = a + -23. Let z(s) = s + 22. Let w be z(r). Solve v + 3 = 0, -w = -m + 3*v + 2*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2102 (base 3) to base 2.\nAnswer: 1000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 - -4?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27\/1021 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5 + 328*b**4 - 1740*b**3 - 858688*b**2 + 15122746*b + 53023368 = 0. Calculate b.\nAnswer: -148, -71, -3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00449119 rounded to four decimal places?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00083325 to six dps.\nAnswer: -0.000833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 738519520 rounded to the nearest 1000000?\nAnswer: 739000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzfzzzzzzfzzfzz. What is prob of picking 3 f?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5560671 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u + 168 - u**2 + 3*u - 3*u - 334 - 14*u**3 + 163 in the form v*u + j*u**2 + l + w*u**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*(4 + sqrt(1900)*-2*4 + (-4 + sqrt(1900)*1 - (sqrt(1900) + sqrt(1900) + 2*sqrt(1900) + -2))))**2.\nAnswer: -176000*sqrt(19) + 91961600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-33)\/27 - -5) + -4 + 0. Let n = -18.207 - -18.31. Which is the third biggest value? (a) n (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x + x**2 - 2*x + 15 + 12*x. Let b be s(-12). Calculate the greatest common divisor of b and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*p = 10, -3*l + 5*l + 5*p = 4. Put 4, 19, 3, l in descending order.\nAnswer: 19, 4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -620 by -20.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9\/10 of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/5 - 17528*a\/5 - 76807696\/5 = 0. Calculate a.\nAnswer: -8764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 1. Let d(l) = -l**2 + 8*l + 2. Let n(w) = -d(w) + t(w). Suppose -2*p - 142 = -162. What is n(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, -27, -135, -287, -483?\nAnswer: -723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**3 - 5673130*r**2 - 22692580*r - 22692600 = 0. What is r?\nAnswer: -2, 1134630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(162)*5)**2.\nAnswer: 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 103 divided by 2\nAnswer: 103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 4, 5 in descending order.\nAnswer: 61, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-4)\/4 + 90. Let i = -84 + a. Solve -2*q - 3*t = -i*t + 18, -13 = 5*q + 3*t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-3) + 127\/32. Let j = -40 - -1. Let y = j - -39. Is y less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7402610562, 7402610561, 7402610560, 7402610559, 7402610558, 7402610557?\n\"Answer: -j + 7402610563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -7, -311 in descending order.\nAnswer: -2, -4, -7, -311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5405*f**5 - 32*f**3 - 96496*f**2 + 1 wrt f?\nAnswer: -324300*f**2 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6 = -r - v, 0 = -2*r - 5*v - 9. Let w(p) = 7*p - 1. Let s(i) = 2*i**3 - 27*i**2 + 18*i - 39. What is the least common multiple of w(r) and s(13)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(sqrt(91) - (sqrt(91) + -1*sqrt(91))*6)*-3)\/((sqrt(112) + sqrt(7) - sqrt(7))*-6*-6)*-5.\nAnswer: 25*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 > 519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54445 = 169*a + 109*a + 332*a - 18455 for a.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2424, 9689, 21798, 38751, 60548?\n\"Answer: 2422*b**2 - b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + 0)*(-3)\/3. Let x = -11139 - -11141. Let q = 1.5 + -2. Put x, q, r in ascending order.\nAnswer: r, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -13 + 103. Suppose 3*r - 5*j - 14 = 0, 5*j - h = -2*r + r. Suppose 4*k - 37 = 11. Calculate the remainder when k is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 4c5178?\nAnswer: 4c517c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -4. Let i = 0.25 - -2.65. Let q = i - 3. What is the second biggest value in x, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 45*b - 54*b + 76*b in the form g*b + r and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17082079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 5*d**2 + 3*d**3 - 16*d + 4 + 0*d**2.\nAnswer: 3*d**3 + 5*d**2 - 17*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1135 = -b - 4*b. What is the tens digit of (b - (-1)\/((-4)\/12))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00228938439 to six dps.\nAnswer: -0.002289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*6\/(-132) + 7735\/11. What is the highest common factor of 37 and c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 100692*v + 935. Is h(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-45) + (2 - 2).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 30. Suppose -u*k = 0, -11*i + 9*i - 4*k - 12 = 0. Let w(d) = 5*d**3 - 6. Let t(o) = 5*o**3 - 5. What is i*t(s) + 5*w(s)?\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 553440443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0438523 to 4 dps.\nAnswer: 0.0439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -18) + (-1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2036\/8*(-1)\/(-1)*-50. Let c = v + 445446\/35. Calculate the common denominator of 31\/50 and c.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 320?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from {y: 1, a: 1, w: 1, f: 2, o: 2, x: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45, -103, -265, -585, -1117, -1915, -3033?\n\"Answer: -9*c**3 + 2*c**2 - c - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 48*t + 1244. Calculate q(-25).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 95*j**4\/2 + 1813*j**3\/6 - 7*j**2 + 52*j. Differentiate o(h) wrt h.\nAnswer: 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251, 204, 157, 110, 63, 16?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 = 4*f, 4*c + f + 0*f = 4. Let k = -137 - -55. Let b = k + 82.9. Is b at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 0.28113.\nAnswer: 3.28113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 4*t + 4. Let n be k(3). Suppose 0 = b - 2*b + 3. Let c be 1*(b + (-5 - -3)). What is the greatest common divisor of c and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 11:30 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-8)\/14) + 4\/8. Suppose -4*r + 2*y = -20, 4*r - 20 = p*y - 4. Solve i = r - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 301*m - 213*m = -444, 0 = -2*m - 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.484571 take away -11092592?\nAnswer: 11092591.515429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*v + 572 = 528, -v = 5*w - 33 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23052 - -3509. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 2143ab?\nAnswer: 2143a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - q - 2 + (-1 - 2 + 1)*(-3*q + 4*q + 0*q))*(-7*q + 7*q + 6*q) as u*q**2 + x*q + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36925 + 37?\nAnswer: 36961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2 - j**2 + 0*j**2. Let d(v) = -5*v + 2*v + 2*v. Determine p(d(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 + -111. Sort 2, 4, -3, g in increasing order.\nAnswer: -3, 2, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-84)*-1*2009\/574.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - w + w)*(-12563 + 26949 - 13059) as p*w + l and give p.\nAnswer: 1327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-6)\/(-8))\/(30\/160)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 7) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 3*p + 4. Calculate c(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -50*x**2 - 8*x + 20. Let h(q) = q**2 + 2*q - 5. Let b(m) = -d(m) - 4*h(m). Let z(l) be the first derivative of l**3\/3 - 3. Determine b(z(c)).\nAnswer: 46*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1109 = -6*a + 2869. Is 21 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.2 + -17.2. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 4:28 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 3*b**4\/4 + 7*b. Let a(v) = -4*v. Determine a(k(d)).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 + -1 + 1) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6990, -3, -0.358?\nAnswer: 6990","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 9:29 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12655231 is divided by 8819.\nAnswer: 8785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 258876861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3172.\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1982 is divided by 960?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310021334 (base 5) to base 12.\nAnswer: -504291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2054 divided by 43.\nAnswer: 2054\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2196656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -6*63\/108)\/(10\/52)\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1067507, 1067449, 1067351, 1067213?\n\"Answer: -20*z**2 + 2*z + 1067525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13105 - -34?\nAnswer: 13142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 = 11. What is w in 2*w**2 - 8*w**2 - 6*w**2 - 10*w - 3*w**2 + 40*w**3 - 15*w**p = 0?\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.28. Let v = 0.1184 + -0.138448. Let w = d + v. What is w rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 b, and 1 n when four letters picked without replacement from {n: 7, x: 2, b: 2}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 175.2 + 19.8. Let v = 213 - r. What is the third biggest value in v, 1\/4, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 * 341\nAnswer: -17050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013427054 rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 154, 133?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -685930 divided by 1?\nAnswer: -685930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m. Let s(n) = -22*n**2 - 33. Let a(p) = -1. Let q(h) = 33*a(h) - s(h). Give r(q(d)).\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -8*f + 4*t, 10*f = 5*f + 4*t - 31 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 6*r + 450. Is 25 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 11*z + 1. Let b be d(-2). Let w = 1 + b. What is the units digit of ((-192)\/(-40))\/((-6)\/w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10025100 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-42)*9)\/((70\/(-50))\/((-6)\/10))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 581090965 to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97821?\nAnswer: 3, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(77)*-3 + sqrt(77) + sqrt(77))\/sqrt(7).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - b. Let u(n) = -14*n**2 + 8*n. Let m(k) = -8*s(k) - u(k). Let i(v) = -4*v**2 - 5*v + 5*v + 5*v**2. What is i(m(f))?\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*b + 4*b - 63, 36 = -3*p - 3*b. Calculate the remainder when 47 is divided by ((-80)\/p)\/((-2)\/(-6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3391990 = 5*p, -4*p + 2 = -5*p. Round g to the nearest 10000.\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 9. Let v be z(11). Differentiate 1 - 47*n**2 + 58*n**v + 3 with respect to n.\nAnswer: 22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10076 and 1518.\nAnswer: 695244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/2 and -73\/770.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2097, 2163, 2229, 2295?\nAnswer: 2361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4593, -4866, -5323, -5964?\nAnswer: -6789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 12 = -6. Let v be (-1)\/2 - (-9)\/i. Let t be v*((-2)\/(-10) - 0). What is the closest to 1 in 0, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14005 or 14115?\nAnswer: 14115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -4*l - 0 - 17, 3*v + 17 = -l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**2 - 6*k**5 - 9*k**5 - k**5 - 2*k**2 wrt k?\nAnswer: -960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224145 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, -2.21, 30 in decreasing order.\nAnswer: 30, 1, -0.1, -2.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 1\/29 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 358.9999939 - 359. Round j to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*u + 13*u + 16*u - 5*u**2 to the form w*u + v*u**2 + l and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282901*c**2 + 2*c**3 - 282901*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93032.\nAnswer: 2, 29, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -324 + -5445?\nAnswer: -10213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 2*m. Let i(k) = 6*k**2 + 11*k. Let y(b) = 22*f(b) - 4*i(b). Let a(v) be the first derivative of 2 + 3*v**2 - 4 - 2. Determine y(a(c)).\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95*d*r**2 - 8454*d*r - 43*d - 1580*r**2 wrt r.\nAnswer: -190*d - 3160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148373*n**2 + 148375*n**2 + 148381*n**2 + 148384*n**2 - 593513*n**2 + 13*n**3.\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-22) - 54\/297. What is the remainder when -1 + -1 + (v + 3 - -47) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60164, 480670, 1622038, 3844700, 7509088, 12975634, 20604770?\nAnswer: 30756928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1968 divided by -2083.\nAnswer: 1968\/2083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t - 4350 = -173*t. Let w(l) = -l**3 - 31*l**2 + 21. Calculate the remainder when t is divided by w(-31).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 895722?\nAnswer: 2, 3, 149287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -6\/19 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -711, -23, -190 in increasing order.\nAnswer: -711, -190, -23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.457709 minutes in seconds?\nAnswer: 207.46254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -735350*m*o**3 + 15130898*m + 2*o**3 with respect to o.\nAnswer: -2206050*m*o**2 + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 10:27 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/(-28))\/(13\/(455\/(-10))). Let v(r) = 935*r**3 + 3*r**2 + 16*r - 34. Let n be v(o). Round n to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + b. Suppose 5*t - 43 = 5*o + t, 3*o - 4*t = -29. What are the prime factors of v(o)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1 + 0 = m, 2*y = -2*m + 12. Suppose -z + 9 + 7 = -4*j, 20 = -5*j. Solve 0 = n - m, 0 = 2*p - z*n + n + 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111383 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1390 and 1529?\nAnswer: 15290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387932294?\nAnswer: 2, 97, 1999651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = c + 44, -33*c - c - 3*c = -36*c - 5*j + 56 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(-4)\/20 - (-24)\/20. Solve c*i + 4*o - 6 = 0, 0 = -0*i + 4*i - 4*o + 12 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (0 - -57) - (3 + -10 - 0).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 5, n: 4}. What is prob of picking 1 p and 1 n?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330 and 3135.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 11. Let g be a(-4). Let i be 1 - ((-15)\/(-9))\/((-5)\/g). What is the closest to i in -3\/5, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(55)\/(sqrt(5)*-3) + 5)**2.\nAnswer: -50*sqrt(11)\/3 + 1180\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 15 - 9 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/5297 in 2\/7, 0.3, -12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37dd (base 15) to base 3.\nAnswer: 121100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (115\/500 + 2\/(-8))*-48. Let r = u - -16\/25. Suppose -22\/5*d**3 + r - 16\/5*d**4 + 26\/5*d**2 + 32\/5*d + 8\/5*d**5 = 0. What is d?\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 1 - 1)*(-8 - 3 + 1)*(-9944 - 77*z + 9944) as h*z**2 + f + i*z and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 10:13 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a - 4*a - 3*a + (24 - 8 + 25)*(-a + 2*a - 2*a) to r*a + x and give r.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 + 2. Let l be n(-2). Suppose -t = 4*t. Let z = t - -5. Solve -2*g + s - 2*s = -7, 0 = -z*g + 5*s + l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5117007 to the power of 1\/2, to the nearest integer?\nAnswer: 2262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 253933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -n, 2*s - 2*n = -s - 30. Let r be (s\/(-10))\/3*-5. Let m be (42\/168)\/((-1)\/(-8)). Sort m, 1, r in ascending order.\nAnswer: r, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51.856 * -0.2\nAnswer: 10.3712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*s**5 + 8724*s**4 + 406072*s**3 - 2682192*s**2 - 3079584*s = 0 for s.\nAnswer: -102, -1, 0, 74\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 49*h. Let w(v) = 7*v + v + 7*v - 36*v + 5*v. Give 3*p(o) + 8*w(o).\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**3 - 2*d**3 - 2*d**3)*(d**2 - d + d + 0*d**2 + 0*d**2 - d**2 + (d - 4*d + 2*d)*(2*d - 3 + 3) + 2*d**2 - d**2 - 2*d**2 - d**2 + d**2 - d**2).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.64 in 4, 3\/5, 3, 185?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + (-9492)\/399 + -12 + -3?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c - 5*c + 4*c)*(5 + 3 - 5)*(c + c - c) + 4*c**2 + 16*c**2 + 0*c**2.\nAnswer: 38*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w**(-8)))*w*w)\/(w\/(w\/w**(-19)*w*w)) assuming w is positive.\nAnswer: w**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2\/20 + 704671\/290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - 4*p - 2*p**5 - p**5 - 2*p**5 + 2*p**5 + (2 - 6 + 2)*(0*p**5 + 0*p**5 + 3*p**5).\nAnswer: -9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 269841700 to the nearest 100000.\nAnswer: 269800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*k + 107*k - 1 + 155*k + 1.\nAnswer: 355*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -31. Let w = h - 8. What is the tens digit of w\/(-33) + (-944)\/(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gccs when four letters picked without replacement from {g: 3, e: 1, s: 4, f: 5, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/34 and -41\/14859.\nAnswer: 505206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2)*((-128)\/24 + 2). What is the second derivative of 0*q**5 - 27*q + 15*q**5 - q**a wrt q?\nAnswer: 280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -182 - -185. Suppose -392 = -2*q - v, -5*q - j*v = -2*v - 983. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 13) to base 11\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(12*h**3 + 17*h**3 - 27*h**3)*(h - 2*h + 3*h).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 350*k**5 + k + 85 wrt k.\nAnswer: 7000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 6*j = -16, 4409*k - 4410*k = 4*j + 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9447, -58, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28236 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 5:13 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 4. Suppose 0*f + 2*f - 5*r = 95, -111 = -3*f - 3*r. Let u be f\/10 + (-4)\/(-2). Calculate d(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -0*w + 85. Let c = w + 80. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11250225 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3798642713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 358.37 + -361. What is r rounded to one decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*q = 10 + 4, 0 = -3*q - 6. Let u = 11 + -8. What is the remainder when v is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 68*-2*2\/(-16). Suppose 0 = -65*g + 83*g - 36. Which is smaller: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/(1*2*sqrt(4)))\/(2*sqrt(128) + sqrt(2) - (sqrt(32) + 1*sqrt(32) + sqrt(32) + sqrt(2)))*1)**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.454 - -0.454. What is the nearest to -1\/4 in -1.3, -2, 5\/4, q?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -94*p. Let q(b) = 5*b + 2. Give v(q(t)).\nAnswer: -470*t - 188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 401305128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4153 (b) -0.5 (c) 0 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8841?\nAnswer: 3, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 q when four letters picked without replacement from {d: 3, u: 7, o: 1, q: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**3\/2 - c. Suppose 4*z - 2 = 6. Let g(x) = 5*x - 3*x - z*x + x**2. Give g(a(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*(-1)\/(-2) - (-34 - -41). Let a(t) = -45*t - 158. Let g(y) = y**2 - 5*y - 1. Calculate the remainder when a(m) is divided by g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - -2. Suppose 31*g - k*g = 0. Suppose 2 = -a, -s + g*a = -a - 164. Is 27 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9227*f - 451932. Determine i(49).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, i: 9}. What is prob of picking 1 i and 3 z?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 48 = -10*k. Suppose k*p + 4*l = 3 + 465, -2*l - 356 = -3*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**4\/24 + 5*h**3\/6 + 3*h**2. Let w be v(3). Solve -w*o - 3*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*10\/(0 - -2). Solve 16 = h*c + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 2*x + 7 + 8*x - 4*x. Let g be b(-5). What is the third derivative of l**5 + 4*l**2 - 2*l**5 - 5*l**g wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from sxsrxrxoddxo.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5 + 23. Let m be (-3 + 0)*u\/12. Suppose 0 = 2*j - m + 3. Calculate the remainder when 5 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160953743 to the power of 1\/2, to the nearest integer?\nAnswer: 12687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 535804\/930 - 4\/30. What is the greatest common divisor of 112 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 7*l + 100. Let h = -23 - l. Suppose -5*p - 5*d = -25, -31 + 11 = 4*p - 4*d. Solve h*o + 0*o = 4*b + 4, 5*o + 2*b - 22 = p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.034 and -2.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 2:23 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-64262525.34188\nAnswer: -64262524.94188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Let f = 642 + -636. Let b(x) = -20*x + 123. Let g be b(f). Put -6, g, q in increasing order.\nAnswer: -6, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3434 + 6*c**2 + 3434 + 0*c**2 + 291*c**3 - 139*c**3 - 4*c**2.\nAnswer: 152*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-689640)\/(-82100)*(-340)\/42.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 + 51bc1?\nAnswer: 51bd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 161*u - 40. What is m(-2)?\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 13 = -w + 2*m, -5 = w + m. Let b be 0 - (w - -2)*7\/35. What is the second biggest value in -2\/7, -2\/3, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 63*i**5\/4 - 201*i**4\/2 + 237*i**3\/4 + 639*i**2\/2 + 168*i + 24 = 0.\nAnswer: -1, -1\/3, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**2 - 65*k - 52*k - 33*k**2 + 15*k**2 + 2 + 3*k**2.\nAnswer: -4*k**2 - 117*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbp when three letters picked without replacement from bbpbbppbpbpb?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**6\/180 + 16*i**5\/45 + 5*i**4\/3 + 61*i**2 - 6*i. Let z(o) = 0. What is o?\nAnswer: -30, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 3*o + 3*o)*(3 + 0 + 0)*(-15 - 3 - 4)*(-2 + 4 + 0).\nAnswer: -528*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**3 - 4*z**2 - 6. Let p(r) = -6*r**3 + 7*r**2 + 11. Determine -11*f(x) - 6*p(x).\nAnswer: 3*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2 = 8. Let y be 10\/o*24\/40. Let g be 6\/y*(-4)\/8. Which is smaller: -1\/2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/53865*9\/(-1)?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-54)\/36*(-10)\/3. Solve -7 = n*i + 2*y, -3*i - 3 + 5 = -5*y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 5:50 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-5 - -2) - 9 - -12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/(7\/(-42)). Suppose 15 = -y*n, 4*n + 2 = -5*a - 3. Let p(k) = -3 - 1 + 2 + 0*k**a + k**3 - 3*k**2 - k. Calculate p(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -15*s**2. Let t(p) = p**3 - 29*p**2 + 77*p + 24. Let n be t(26). Let z(a) = -8*a**2. Calculate n*y(k) + 5*z(k).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403995.\nAnswer: 3, 5, 23, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 12*v + 47 - 423 + 21 - 244 to the form g + c*v and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3378 divided by 6?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/1)\/(4873\/144). Let l = m - -2\/443. What is the nearest to 0.1 in l, -2, 4\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 30*i**4\/7 - 446*i**3\/7 - 90*i**2\/7 + 446*i\/7 + 60\/7 = 0.\nAnswer: -1, -2\/15, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 7*g**6\/30 - g**4\/4 - 2*g. Find the third derivative of q(k) wrt k.\nAnswer: 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -583, -3844, -9281, -16894, -26683?\n\"Answer: -1088*g**2 + 3*g + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 10914*d + 43659. Give k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**4\/5 + 128812*w**3\/5 - 772968*w**2\/5 + 309200*w - 1030688\/5 = 0.\nAnswer: -32209, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Let m = -2977\/5 - -590. Calculate the common denominator of ((-1144)\/48)\/(z - 3) and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + 38 + -2 + 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 + -24. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0705 - -0.1705. Let y = 6 - 6.14. Let h = -5.86 + y. Are h and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1850887\/5154 + -43\/859. Let j = -359 - v. Which is the nearest to -7\/5? (a) 6 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**5\/120 + 5*a**4\/4 + 75*a**3 - 39*a**2 - a + 54. Let r(l) be the first derivative of k(l). Factor r(x).\nAnswer: (x + 30)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 656 + -2631\/4. Sort -2, u, 3, 2 in increasing order.\nAnswer: -2, u, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 41*x - 157 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449744 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.81 - -0.80999976. What is y rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42690 = 33*d - 39546. Is d a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -26 + (15 - -9) + -16\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 7*p**2 - 6*p + 4. Let d be u(-6). Let n = 7 - d. Which is the nearest to 0? (a) n (b) 1\/6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**3 - 6*x**2 + 6*x + 1. Let w be c(3). Suppose 4*z - w = -3*i, -4*i + 3*z + 22 = -56. Calculate the remainder when 35 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -68, -122, -176, -230, -284?\n\"Answer: -54*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -45*f**3 + 1172*f**2 - 55*f + 138. Calculate a(26).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (41\/369)\/(17\/(51\/(-6)))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*s + 169*s + 147*s.\nAnswer: 232*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25 and 0.571?\nAnswer: 24.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1668.232 millilitres to litres.\nAnswer: 1.668232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p + 1. Let b be f(-5). Let d = -38 + b. Suppose 0*m + 5*m - 2*h - 17876 = 0, -3583 = -m + d*h. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -3. Let k = 48 - 46. What is the third derivative of -5 - y**k - 1 + 10*y**4 + w wrt y?\nAnswer: 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -225, -327, -431, -537?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1053) + -1 - sqrt(1053)) + sqrt(13)) + -5.\nAnswer: -3*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -484*h**4\/9 - 6370*h**3\/9 + 21250*h**2\/9 - 11900*h\/9 - 832\/3 = 0.\nAnswer: -16, -39\/242, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24645388 or 24645390?\nAnswer: 24645390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f + 6. Let k be r(-1). Let c be 103\/k + ((-56)\/60)\/(-7). Suppose -c*a = 289 - 891. List the prime factors of a.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 + -116. Suppose 216 + 79 = -4*u - 5*z, -2*u + z - 151 = 0. List the prime factors of q\/u - 344\/(-10).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*v - 13 - 20 + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**2 + 5*b + 5. Let n(z) = -2*z**2 - 2*z - 2. Let v(l) = -3*c(l) - 7*n(l). Determine v(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59.33 - 50.33. Which is the biggest value? (a) h (b) -2\/5 (c) 1\/2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 - -2.03. Let y = 2 - 1.7. What is the second biggest value in y, p, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - -0.3. Suppose -5*d + 3 = -4*d. Suppose 0 = -4*v - d*v + 7. Which is the closest to v? (a) 4 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 31. Put k, 0.5, 4\/141 in increasing order.\nAnswer: 4\/141, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -8. Suppose 2*j - 41 = i, 4*i + w = -1. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + j - j)*(-j**2 - 2*j**2 - 9*j**2)*(-6*j + 3*j + 2*j).\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6) + (8 - (19 + -11))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 0*x + 0 - 123*x**2 + 4\/3*x**4 + 32\/3*x**3 + 1\/15*x**5. Factor v(j).\nAnswer: 4*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -10. Let u = h + 6. Let i be u\/4 - 2\/(-8). Let v(z) = -z**3 + z**2 + 5. Give v(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -10 (c) -36\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2587000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -895*g**3*q*z - 2*g**3*z - g**3 + 115*g**2*z + q wrt q?\nAnswer: -895*g**3*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 16.\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, e: 5, h: 1, y: 7}. What is prob of sequence hey?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -5*p + 10, 0 = 4*p - 8. Which is smaller: s or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 5*q**3 - q**2 + q + 5. Let j be l(1). Let i = -2 + j. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + u = 13, -4*m - 11*u + 8*u = 21 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.3 + -15. Let l = -0.7 - n. Sort l, -0.5, -1 in decreasing order.\nAnswer: l, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 604 and 1192.\nAnswer: 179992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000463236467 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 6. Give u(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 19*j - 24*j. Let m(b) = 6*b**5 + 11*b**2 - 6. Let o(a) = -a**5 - 1. Let f(q) = j*m(q) - 6*o(q). What is the third derivative of f(g) wrt g?\nAnswer: 720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66.885 - 0.115. Is -0.1 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.17 + -0.67. Let s = c + -10.49718. Round s to 4 decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*a - 4*z, 7 = 2*z - 1. Let h be 447\/(-1043)*(39\/(-18))\/13. Which is smaller: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -6*r + 4*r + 12, 0 = -r + c + 12. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + 0*k + k)*(33*k - 5*k + 10*k) + 2*k**2 + 4*k**2 - 4*k**2 - 3*k**2 - k**2 + 5*k**2 to u*k**2 + j + b*k and give u.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38210 is divided by 1592.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12763 - -46632. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002263661 rounded to seven decimal places?\nAnswer: 0.0000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-198)\/44*((-50)\/18 + 4).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, i: 2}. What is prob of sequence www?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -120 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.21 times -1406?\nAnswer: -140895.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -587 divided by 1.\nAnswer: -587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56392 is divided by 200.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -426554, 4\/5, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 67681381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12606 + 44433. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d7c + -d5?\nAnswer: 2ca7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 10 + (-1 - 8) + 68 + -70.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + 12*k - 8. What is d(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -0.1. Let w = -0.32 + y. What is w rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*j*s**2 - 294*j*s*t + 383*j*t + 2*j + s**3 - 2*s*t + 1 wrt s.\nAnswer: 6*j*s - 294*j*t + 3*s**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40112 less than 40027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**3*r**3 - h**3 - 2*h*j*r**3 - 291*h*j*r**2 - 1469*h*r**3 + h*r**2 wrt r.\nAnswer: 6*h**3 - 12*h*j - 8814*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.3 - 329.82.\nAnswer: -333.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/15)\/((-2)\/54). Calculate the greatest common divisor of 27 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*t - 4*t + 412, 4*t = 2*a + 1704. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -6. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5532*z**3 + 685504*z**2 - 685504*z**2.\nAnswer: -5532*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a microgram in nanograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:56 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 2308682508?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 1. Suppose -5*x - 2*m = -28, -x = x + v*m - 24. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**3 - l**2 + 5*l + 1. Let c(g) = -g**3 - g - 1. Let o(w) = 4*c(w) + v(w). Determine o(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k + 5. Let n be d(5). Let a be ((-1)\/4)\/(84\/(-16) + 5). Let o be a\/(-15) - (-6)\/n. Which is bigger: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10569, -10494, -10383, -10230, -10029, -9774?\n\"Answer: p**3 + 12*p**2 + 32*p - 10614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**5\/20 + f**4\/2 - f**3\/2 + 3*f**2 - 2*f. Calculate the remainder when n(5) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2033314 (base 9) to base 2.\nAnswer: -100001000111001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34669*r**3 - 96*r**2 + 69159*r**3 - 34481*r**3.\nAnswer: 9*r**3 - 96*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 230*t. Let y(k) = -2*k**2 + 25684. Give y(m(v)).\nAnswer: -105800*v**2 + 25684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o. Let y be j(-1). Let r = 13 + -12.9. Which is the nearest to r? (a) -3\/4 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(17) + 1)**2.\nAnswer: 16*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1911 + -1920. Let h(w) = w**3 + 8*w**2 - 14*w - 5. Calculate h(p).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p + 5*t = 27, 4*t - 12 = 0. Find the third derivative of -4*i**3 + 2*i**4 - 2*i**2 + 5*i**2 + p*i**3 wrt i.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 k, and 1 g when three letters picked without replacement from gekkeggtg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -3838 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 606, 828, 1050?\nAnswer: 1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/12 - 1129*l**2\/12 + 70030*l\/3 + 1864884 = 0.\nAnswer: -63, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 4:06 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3490 + 3490 - 6*l**3 - 2*l.\nAnswer: -6*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/2, 4, 7, 6\/71 in increasing order.\nAnswer: 6\/71, 3\/2, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -18604\/6241 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(84\/(-2))\/3. Suppose 10 = 5*w + f, 0*f + 16 = 2*w - 2*f. Suppose 0 = -g - w*g + x. Solve -5*z + g = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, -4, -8 in descending order.\nAnswer: -4, -8, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -w**2 - 281815 + w**2 + 2*w**4 + 280923 - 451*w**3 wrt w?\nAnswer: 8*w**3 - 1353*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in 0, -8.6, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -108842 + 201215734?\nAnswer: 201106892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 312517, 625059, 937613, 1250179, 1562757, 1875347, 2187949?\n\"Answer: 6*t**2 + 312524*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7772, -14887, -21336, -27113, -32212, -36627, -40352?\nAnswer: -43381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 1. Suppose 0*j - j = 0. Let h be r(j). Let g be 8\/(-20) - (-23)\/45. Is g less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -35171411?\nAnswer: 35171411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o - 1. Let x be y(2). Let h be (-8)\/(-36) + 52\/x. Let r = h + 12. What is the least common multiple of 2 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -4. Let y = -3 + 6. Let r = c + y. Which is smaller: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/2 - ((-1769)\/58 + 31).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3522 - -3509. What is the closest to 2\/9 in -0.2, 0.1, l, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 = -0. Sort 2, 29, m, -4 in increasing order.\nAnswer: -4, 2, m, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17272 greater than 17264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 291.\nAnswer: 2619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 1712666.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1. Let v(l) = -8*l - 46. Let h(r) = 3*i(r) - v(r). Let k be h(-5). Solve k*x - 7*x + 20 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*h + 6*h - 5*y, -3*h + 22 = 2*y. Suppose -h*g + 21 = -5*g. Let u(i) = 2*i**2 - 16*i + 7. Calculate u(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*d - 18*d. Suppose -5*h - 2*f + 11 + 45 = 0, 5*h + 4*f - 62 = d. Suppose v + v - h = 0. Solve -s + 4 - 3 = -q, -3*s + q + v = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -151320554?\nAnswer: 151321020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 9*j**2 + 9*j + 5. Let r be p(-7). Suppose -3*q - r = -8*q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-2970)*60)\/(1*12)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(b\/b**(-4\/7))))\/(b*b**(-36)\/b))\/(b*b*b**4*b**(3\/17)) assuming b is positive.\nAnswer: b**(3617\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzhhbdzzzzbbhbbdzbz. What is prob of picking 1 d and 1 z?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2\/4 + 85*o\/4 - 75\/2.\nAnswer: -5*(o - 15)*(o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3490, -2 in decreasing order.\nAnswer: 5, -2, -3490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 5*v - 4. Let y be s(-3). Suppose y*k - 9*a = -8*a + 8, -a = -5*k + 14. What is the second smallest value in -2, 0.1, 4, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6, 23, 54, 99?\n\"Answer: 7*j**2 - 4*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -5*q**2 - 5\/6*q**3 - 1\/24*q**4 + 0*q + 0. What is the units digit of m(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10932252?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 63. Let n be (5 + (-5 - q))\/1. Solve n = -3*p + p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millisecond in microseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71427 is divided by 1279.\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 2*q**2 + 6*q**2 + (-1 - 3 + 3)*(-3*q**2 + 16*q**2 + 3*q**2) + 2*q**2 + 1 - 1)*(-2*q**2 + 3*q**2 - 3*q**2).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*w**5 - 2*w**4 + 2*w**4 + (-w**2 - 4*w**2 + 4*w**2)*(2*w**3 + 4*w**3 - 5*w**3).\nAnswer: -14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 3. Let r = -13 - p. Suppose 0 = z - 5*s - 93, -r*z + 5*s + 269 = -z. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 809 (base 11) to base 6\nAnswer: 4305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 9*z**2. Let y(h) be the second derivative of h**3\/6 + 29*h. Calculate g(y(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -45, -220.\nAnswer: -220, -45, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/14? (a) -4 (b) -0.5 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1302904\/11 - 118638. Let i = m - -192. Which is the closest to -0.4? (a) i (b) 3 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -78357*f**3 - 7. Let g be v(4). Suppose -3*o - 22630499 = -79675064. Let t = o + g. Round t to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = z - 7. What is the remainder when 42 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -288 in -2\/15, 2\/19, 0.2, -0.0233, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4645\/2869 + 14\/151. Find the common denominator of y and ((-6)\/4)\/(6\/(-184)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904 is divided by 862.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54\/77 + -3\/11. Let i be (-12)\/5*720\/216. What is the biggest value in p, i, -1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 20*q**2 + 17 - 9 + 41 - 19*q**2 + 24*q. Let z be m(-21). Let c(a) = 49*a. Let x(n) = 10*n. Calculate z*x(h) + 3*c(h).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/(184\/(-48)))\/((-7)\/(28\/80))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28634580*y**4 - 27*y - 96561?\nAnswer: 343614960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y + 18 = -51*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 1. Let b(y) be the first derivative of -y**2 + 0*y**2 - 10 - 5*y + 5*y. Give -b(p) + w(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (103 - 104)\/(1\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + -70. Solve m = -5*d + 11 - 3, -4*d + x*m = -12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 6:14 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.5 < -251361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(567)*-3)**2*-5 - 4*(2 + sqrt(567)*-1).\nAnswer: -102068 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5530*k + 82960. Give n(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142460036 to the power of 1\/2, to the nearest integer?\nAnswer: 11936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*t**2 - 5*t**2 - 8*t**2)*(3*t**2 + 25*t**2 + 14*t**2 + (4 - 2 + 0)*(0*t**2 - t**2 + 0*t**2))*(-8 - 6*t + 8).\nAnswer: -1440*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 15 = 5*g, y - 5955 = -5*g - 5916 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230 and 4747130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, 3, -5 in descending order.\nAnswer: 3, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (-4 + 4 - -2). Calculate the greatest common divisor of 108 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237 - 55*m + 242 - 11*m - 10*m.\nAnswer: -76*m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/320 - (1156\/(-64) - -7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**3*q**3 + c**3*q**2 + 23*c**3*q + c**2*q**2 + c**2 - 90593*c*q**3 - 75*c - 2*q**3 wrt q?\nAnswer: 24*c**3 - 543558*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -k + 2*j - 3, -35 = 3*k + 4*j. Let n = 5 + k. Sort n, 4, 1.\nAnswer: n, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -725? (a) -0.4 (b) 0.4 (c) 1\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 0 + 1\/2*s**3 + 192*s**2 + 0*s + 1\/6*s**4. Suppose 0 = -2*a + l + 3, 4*l - 2*l - 12 = -2*a. Determine v(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48644513 to the power of 1\/2, to the nearest integer?\nAnswer: 6975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15982 * -3\nAnswer: 47946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 8*q - 9. Let x be v(-7). Let t = 7 + x. Suppose -4 = -2*g - 0*g. Solve g*s = t*r - 33, 6*r - r - 29 = s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -33, -47, -63, -81, -101, -123?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**6\/12 + 2*f**5\/5 + 11*f**4\/12 - 2*f**3 + 14*f**2. Find q, given that c(q) = 0.\nAnswer: -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 3*x**2 - 6*x**2 + 0*x**2 + 0*x**2 - x**2 + (x**2 + 5*x - 5*x)*(2 + 3 - 7))*(31*x - 18*x + 24*x).\nAnswer: -185*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z - 10*z + 10*z + (z + z - 3*z)*(-4 + 25 - 10) - z + 0*z + 0*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 41*y - 77*y + 47*y + 39. Let m be k(13). Calculate the greatest common divisor of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1936)\/110)\/(-22))\/((-1)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 172 - 1206\/7. Which is the fourth biggest value? (a) -0.5 (b) x (c) 0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607475.9 millimeters in nanometers?\nAnswer: 607475900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 9 = -4*h. Let n be 1 - 46\/4 - 3\/h. Are n and -10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25211.85l?\nAnswer: 25211850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 + -807. Let n = -701 - g. What is the nearest to -2.5 in n, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17051 and 655163?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((0\/3)\/1)\/1. Solve r = -3*h - h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f - 36. Let h = f + -10. Which is smaller: h or -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3785 - 3785 + 85*d.\nAnswer: 85*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3412480 rounded to the nearest one thousand?\nAnswer: -3412000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 - (-85)\/(-25).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 13. Let i be t(-8). Let z be (5\/i*3)\/1. Let y be 2\/4*(-1 - 1). Put z, 2, y in ascending order.\nAnswer: y, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/9 - 38\/(-3). Let a(h) = 2*h**3 + 12 + 5*h - h**3 - t*h + 8*h**2. Let d be a(-9). What is the greatest common divisor of d and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563507*c + 48030*c**3 + 563507*c.\nAnswer: 48030*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -486, -490, -494, -498?\n\"Answer: -4*i - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 19*a**6\/30 - 16*a**3\/3 + 34*a. What is the second derivative of u(n) wrt n?\nAnswer: 228*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -1\/6 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-12))\/((-209)\/(-69) + -3). Let q be (-2)\/(-8)*(u + 48). Determine v so that v**5 + 0*v + q*v**2 + 0 + 5\/2*v**4 + 2*v**3 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11775*h**3 - 2*h**2 - h - 5881?\nAnswer: -70650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 - -4738\nAnswer: 4737.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - -20. Suppose t + 8 = j. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9620835 and 15045.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3975, 1788, -1843, -6918, -13437, -21400, -30807?\n\"Answer: -722*i**2 - 21*i + 4718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -1)\/(-1 - -2). Let k(l) = -4*l + 1. Let u be k(-5). Let o be (-24)\/u + (1 - 0). Is j smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*a - 181*a + 594 = 0. Let i(l) = -3*l**3 + 2*l**2 - 2*l + 3. Let y be i(2). Let r = y - a. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 5*p = -69, 2*v + 33*p + 37 = 30*p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 8 = -5*n + 2*h, 0 = -3*n - 4*h + 31. Let c(z) = -z - 2 + n + 0. What is the units digit of c(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1 - 2*j**2 + 0*j + j**3 - j + j**2. Let i(p) be the second derivative of -7*p**5\/20 + p**4\/3 + p**3 - 3*p**2 + 171*p. Calculate -i(h) - 6*v(h).\nAnswer: h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/25 + -7\/25. Suppose s - 33 + 4 = 2*n, 0 = -3*n - 5*s - 11. Which is the nearest to 1? (a) m (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -642, -2, 1\/2, -5, 3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5312 and 20.\nAnswer: 26560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.046 and 329940.018.\nAnswer: 329939.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**3 - 39*a**2 + 173*a - 14. Let l(y) = -2*y**3 + 20*y**2 - 85*y + 8. Calculate -4*h(d) - 7*l(d).\nAnswer: -2*d**3 + 16*d**2 - 97*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -213, -315, -413, -507, -597?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/495*-11*510\/36)\/2.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*t - 3*d - 1284*t**2 + 1281*t + 19501702 wrt t.\nAnswer: -d - 2568*t + 1281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 8) + (-112 - -123)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*j**5 - 28368*j**4 + 8891752*j**3 - 1115908380*j**2 + 41235273612*j + 42360102144 = 0. Calculate j.\nAnswer: -1, 64, 549\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 (base 11) in base 2?\nAnswer: 1000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/9*(-3813)\/2542?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(-1*sqrt(5)) - sqrt(21)\/(sqrt(7) + sqrt(21)\/sqrt(3)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-445186)\/10)\/(60\/25). Let f = z - -18539. Calculate the common denominator of -133\/12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/176*45\/8 and (-1)\/2 - 73\/(-16).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1559046*k + 14031420. Calculate a(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**3 + 6*u - u - u**2 - 3*u - 3*u. What is the units digit of j(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*u**3 + 0 + 36\/7*u**2 + 90\/7*u.\nAnswer: 2*u*(u + 3)*(u + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 363.5263 days in minutes?\nAnswer: 523477.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11417, 5\/3 in descending order.\nAnswer: 5\/3, -1, -11417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, d: 2, s: 2, y: 1, g: 1, c: 8}. What is prob of sequence dyd?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -2\/21 (c) 4\/103 (d) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -557.784 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 574 = -568. Let y(h) = 2*h**3 - h**2 + 5*h - 2. Let v(m) = 4*m**3 - 2*m**2 + 11*m - 5. Give i*v(c) + 5*y(c).\nAnswer: 2*c**3 - c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2. Let k(p) be the third derivative of 2*p**2 + 0*p**3 + 0 + 0*p + 0*p**4 - 1\/20*p**5. Determine m(k(g)).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -615.781429 rounded to one decimal place?\nAnswer: -615.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -179.3 rounded to zero decimal places?\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 <= 117654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from awgmmmmtgmwmgtt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 3\/20*g**5 + 0*g + 0*g**4 + 0*g**3 + 7\/120*g**6 + 3*g**2 + 0. Find the third derivative of f(q) wrt q.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/5)*u)\/u)\/(u*u**(1\/3)*u*u*u)*u**(-2\/7)*u*u**(-1\/4)*u*u assuming u is positive.\nAnswer: u**(-869\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j - 996 = 216*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 11*u**2 + 11*u + 17. Let m be b(12). Find the third derivative of 2375*v + 2*v**m - 2375*v - 5*v**2 wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-36) + 17\/102.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -1744*l + 1743*l + 14140, -l + 3*h = -14108. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z**(-5))**(-2) assuming z is positive.\nAnswer: z**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c - 3*r + 884 = 0, -4*c - 4*r - 1728 = 0. Let q = -889\/2 - c. Let s = -8\/51 - -1103\/204. What is the common denominator of s and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*z + 8*z + 5*v, -2*z + 15*v = 23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**6 - 1449*j**4 - 2*j**2 - 1822*j wrt j.\nAnswer: -240*j**3 - 34776*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 - 2*k**2 - k**2 + 383 - 383 + 162*k**2 + (1 - 1 - 2)*(-k**2 + 0*k**2 - k**2) in the form p*k + s + h*k**2 and give h.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -913, 13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1747210936 to the power of 1\/2, to the nearest integer?\nAnswer: 41800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 205451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = h - 3, 37918*i = 37915*i + 15 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:30 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3220 - 2087. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 2\/7007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -56*((-7)\/70)\/(6\/(-15))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - f = -30 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -5)\/(0 + 1). Let z = 47 + -23. Let n = z - 14. Solve 8*g = h*g + n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ppppggggppgg.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -4. Let t = -5 - x. Which is the smallest value? (a) 2 (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1965*-14777\nAnswer: -29036805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3789017738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -92.4103465 from 3072.\nAnswer: 3164.4103465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21102*-217\nAnswer: -4579134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2468*z - 27201 - 15153 = 4538 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = 4*j + 5*r + 67, -4 = -2*r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 8*d + 8. What is the hundreds digit of -223*(d + (4 + -1 - 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 4 (c) 14 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 4, -14570\/3, 6 in decreasing order.\nAnswer: 6, 4, 3\/7, -14570\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/129542 and 89\/14610?\nAnswer: 1943130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l + 6096 = 6096. Solve l = -3*o - 21 + 27 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ool when three letters picked without replacement from {o: 5, l: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 439*w**2 - 5*w. Let q be a(-4). Let o be (q\/(-16))\/(18\/172). Let c = o + 4188. Find the common denominator of c and -19\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (3\/12)\/(2\/(-8)). Suppose 1 = c - k. Let x(s) = s**3 - 1. Let f(g) = 3*g**3 - 5*g**2 - 6*g + 2. Let o(l) = c*x(l) - f(l). Give o(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34bab7 (base 14) to base 9\nAnswer: 3342328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 - 195 = -8*r. Suppose 0 = -5*z + r + 28. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 30*s - 20. Let i(v) be the second derivative of v**2\/2 - 5*v + 1. Calculate a(k) + 20*i(k).\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7381, 7338, 7281, 7204, 7101, 6966, 6793, 6576?\n\"Answer: -y**3 - y**2 - 33*y + 7416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 433758?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-12)*6)\/2. Suppose o + d*o = -3. Sort 0, -4, o in decreasing order.\nAnswer: 0, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(68\/17*(-4)\/(-8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 160 = 5*i, 0*i - 5*a - 98 = -3*i. Solve -11 = 5*c - i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 + -83. Let t(y) = 5*y + 19*y**2 - 17*y**m - 5*y. Let d(l) = 14*l**2. Calculate t(d(z)).\nAnswer: 392*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18360 and 952.\nAnswer: 128520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 1. Let p(k) = 18*k - 15. Let i(t) = -p(t) - 15*s(t). Let v be i(-1). Suppose 0 = -w - v*w + 20. Solve z = 4*n + 4 - w, -21 = 4*z + n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 + 1 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 12279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**2 - 6*c + 6*c)*(-3*c + 6*c - c) + 3*c**3 + 2*c**3 - 2*c**3.\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + 2 + sqrt(800) + 1 + sqrt(800) + (sqrt(800) - (4*(-1 + sqrt(800) - sqrt(800)) - sqrt(800)) - sqrt(800))**2)*5.\nAnswer: 5000*sqrt(2) + 20350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257, 504, 751, 998, 1245, 1492?\nAnswer: 1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20053766*o**2*q*t**3 - 1354*o*q*t**3 - 27*o*q + 157*t**3 wrt o?\nAnswer: 40107532*q*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0 + 0 + 2*l**2. Let b(h) = -h - 1. Let m(c) = -5*c - c + 1 + 8*c - 4*c**2 + 1. Let g(y) = -2*b(y) - m(y). What is g(r(i))?\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10988326445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 462541 divided by 107\nAnswer: 462541\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 85975929*l**2 - 124627546 wrt l?\nAnswer: 171951858*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/5 (b) 2.07 (c) -2\/37 (d) 1 (e) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 434792 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 5*y**6\/6 + 11*y**2\/2 + 9. Find the second derivative of q(w) wrt w.\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118\/13 bigger than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106.275 + -106. Round n to two decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -109388 + 2*b - b + 109388 + 0*b + 22*b**3. Give l(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*n + 106 - 154 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134904747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**4\/13 + 244*b**3\/13 + 47362*b**2\/13 - 64884*b\/13 - 3417120\/13 = 0.\nAnswer: -105, -8, 9, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27678685465 - 336.7.\nAnswer: -27678685801.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 5:38 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*d - 2 + 8, l - 6*l = 0. Let m(p) be the first derivative of 5\/4*p**4 + 5*p**3 - 3*p**5 - 29 - 5\/2*p**d + 0*p. Factor m(y).\nAnswer: -5*y*(y - 1)*(y + 1)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, p: 11}. What is prob of picking 4 p?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(234)*-2)\/(2*sqrt(18)\/sqrt(2)))\/((sqrt(120)\/sqrt(5))\/sqrt(12) - (sqrt(2) - (sqrt(350) + sqrt(14))\/sqrt(7))))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 6. Let y(m) = 7*m + 2. Let i be y(-1). Sort i, p, 0.3 in decreasing order.\nAnswer: 0.3, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000000000 + 1110?\nAnswer: -11111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 166*f*o**3 - 32*f*o**2 + 12*f + 8*o**3 + 31*o + 258 wrt f.\nAnswer: 166*o**3 - 32*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 20*j**2 + 42*j - 540. What is the thousands digit of o(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 965577*v**3 - 4385*v**2 + 8770*v - 4385. Let i(s) = -881*s**3 + 4*s**2 - 8*s + 4. Determine -4385*i(b) - 4*y(b).\nAnswer: 877*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 - -14*40 - 2 and 9?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88609 is divided by 12652?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20590 is divided by 203.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 86, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*d - 37*d + 141*d - 47*d - 34*d.\nAnswer: -49*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 982457, 1964898, 2947325, 3929732, 4912113, 5894462, 6876773, 7859040?\nAnswer: 8841257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*n**3*t**3 - 2*n**3*t**2 - 2*n**3*t + 37*n**3 + 7*t**3 wrt t.\nAnswer: 174*n**3*t - 4*n**3 + 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1133000 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-3352*(0 + 1). Let p = 73837\/22 + l. What is the common denominator of p and -35\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1548*p = -5929*p + 381327 for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**6\/360 + j**5\/15 - 2*j**4\/3 + 32*j**3\/9 - 10*j**2. Determine l so that w(l) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2 + 29*k + 120 = 0. Calculate k.\nAnswer: -24, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = 3*u + 65. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + -4. Let k = l + 4. What is the second biggest value in k, 2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -226.6 * 955.\nAnswer: -216403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzyz when four letters picked without replacement from {y: 7, z: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 5.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k + 3666. Let p(h) = -h**2. What is j(p(s))?\nAnswer: -6*s**2 + 3666","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 782 and 1496?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3218 divide 122206768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, l: 9}. Give prob of sequence rrr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4 - -1471)*(-4)\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9410246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - w + 16. Suppose 0 = 2*k - 0 - 8. Let a be ((-1)\/3)\/((-2)\/102). Solve w*o = -r + o - a, -5*r - k*o - 30 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 80. Let a = r - -51.95. Put -0.4, -2, a in decreasing order.\nAnswer: a, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 a factor of 8461647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*d - 3 = 15, -91 = -5*c + d. Let y = -8 + c. What is the smallest common multiple of y and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 7:42 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.752 - -0.762. Let l = -4.09 - i. Which is the third biggest value? (a) 0.1 (b) -2\/13 (c) l (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -950 divided by 190?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-1116319839)\/(-297) + 4 + 4. Let t = 3758553 + v. Let l = t - -802\/9. Calculate the common denominator of -115\/6 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y - 7. Suppose 0 = n - b + 29, -3*n - b - 68 - 15 = 0. Let o = n - -18. Let z(f) = 5 + 4*f - 1 - 5*f. What is o*z(m) - 6*p(m)?\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -5. Differentiate -77*b**x - 54 + 155*b**4 + 77*b**2 wrt b.\nAnswer: 620*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 + 4*m**2 - 4*m. Let f(l) = -6*l**3 - 11*l**2 + 11*l. Suppose 0 = -d + 5*d - 5*c - 26, -6 = d + 5*c. Determine d*f(z) + 11*k(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 225 + -228. Let a(y) = y**3 + 4*y**2 - 2. What is a(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 2:53 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-6)\/v*v)\/v**(-6))**14)**(-1\/5) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 11*g - 5331 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2759 - 384 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 - 2*p**2 + 3*p**2)*(3 + 5 - 6) + (-16 + 7 + 7)*(-4*p**2 + 0*p**2 + p**2) in the form j*p**2 + t*p + h and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-35)*224\/72?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396046 is divided by 26399?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/6*1*5*(-43)\/((-344)\/(-24))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.4 (b) 5 (c) 0.23 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 143, 0.1, 1, 4, -2, 0.5 in descending order.\nAnswer: 143, 4, 1, 0.5, 0.4, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 - 172*w**3 + 5312*w**2 + 37200*w.\nAnswer: -4*w*(w - 25)*(w + 6)*(w + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -495 + 1018. Let n = -317 + g. Let p = n + -32. List the prime factors of p.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -35 - (-4 + (-2 - -3)). Let h = i + 37. Suppose -3*k - 9 = -24, 0 = -4*m + h*k + 263. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5 - 5. Let p = 0 + -1. What is the biggest value in -2\/11, p, n?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(832)*-1 + 1*(sqrt(832) - 1*sqrt(832)))\/(5*sqrt(12)\/sqrt(3)*-1*4).\nAnswer: -4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 344875, 344638, 344399, 344158?\nAnswer: 343915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 85.01801mm?\nAnswer: 85018010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dddudddudud?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 0*c - 506. Suppose 72 = 5*l - c. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/40)\/((-13)\/104))\/(4165\/(-136) + 31).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u + 0 + 1\/4*u**3 + 0*u**4 - 1\/4*u**5 + 0*u**2.\nAnswer: -u**3*(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200201222201002 - 0?\nAnswer: 200201222201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4453 + 4455. Put 3, m, -21 in decreasing order.\nAnswer: 3, m, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32\/5 - 92\/15. Sort 2, 9, f in increasing order.\nAnswer: f, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(2\/7))\/(i**12*i))\/((i*(i\/i**2)\/i)\/i**13))**2 assuming i is positive.\nAnswer: i**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*(58 - 73).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**3. Let a(d) = d**3 + 12*d**2 + 13*d + 20. Let s be a(-11). Let o be v(s). Solve 4*q + 12 = -4*w, -4*q + 0*q = -5*w - o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 2*n**3 + n**2 - 126 - 2*n + 120 to the form g*n + i*n**3 + l*n**2 + b and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/12*3\/((-108)\/(-48))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 23777.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -303 or 23?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 348920, 349010, 349156, 349358, 349616?\n\"Answer: 28*t**2 + 6*t + 348886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 341087 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*k**4 - 4*k**4 + 0 - 8*k**4 + 18*k + 17*k**4 - 1 wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -66, -97, -164, -279, -454, -701?\n\"Answer: -2*a**3 - 6*a**2 + a - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = n + 3*y, 4*n + 0*n = 4*y + 4. Suppose 2*w = n*u - 2*w, -5*u + w = -9. Solve 0*c**2 + 2*c**u - 3*c**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**3 + 18*l**2 - 22*l - 4. Let j be r(-7). Let y(o) = 0*o - o + o**3 - o**2 - 2*o**2 - 4. Calculate y(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*k + 27 = -107 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4\/4 + 362755*r**3\/4 + 8757700875*r**2\/4 + 69990739790625*r\/4 - 2203550740546875.\nAnswer: 5*(r - 124)*(r + 24225)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -36, -88, -182, -330, -544, -836?\n\"Answer: -2*f**3 - 3*f**2 + f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a factor of 3153344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 6 = -0*j. Let v(f) = f**3 + 7*f**2 + 5*f - 7. Let x be v(j). Let b = x + 25. What is the remainder when b is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 5 (c) -4 (d) 8 (e) -4\/5 (f) -3\/2 (g) -2\/65911\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/10*747\/415*20\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -543*g**5\/20 + 95*g**4\/12 - g**2 - 702*g. Find the third derivative of k(m) wrt m.\nAnswer: -3258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64\/547 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 3*q + q + 5, -f - 7 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 277*h**5\/60 - 49*h**4\/12 - h**3\/6 + 47*h**2 - 4. Find the second derivative of o(k) wrt k.\nAnswer: 554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13138, -25966, -38470, -50650, -62506, -74038, -85246?\n\"Answer: 162*x**2 - 13314*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h**4 + 180*h**3 + 444*h**2 + 480*h + 192 = 0. Calculate h.\nAnswer: -2, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58808.5 greater than or equal to 0.084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - n**2 - 2*n - 1. Let s(m) = 270*m**3 + 11*m**2 + 22*m + 4. Let h(d) = 22*k(d) + 2*s(d). Find the first derivative of h(y) wrt y.\nAnswer: 1554*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + 0*d - 3*d)*(3*d + d**3 - 3*d + (-3*d + 4*d**3 + 3*d)*(1 - 2 + 5)) as q + g*d**2 + a*d**4 + n*d**3 + j*d and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8*l. Let s(n) = 2*n**3 + 2*n**2 - 4*n + 1. Let d be s(-2). Determine f(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 1 - 1)*(-2*l**3 + 2*l**3 - l**3 + (0*l - 2*l + 4*l)*(l**2 - 2*l**2 + 0*l**2) - 3*l**3 - l**3 + 3*l**3) + 0*l**4 - 3*l**4 + 4*l**4.\nAnswer: 17*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328144309?\nAnswer: 29, 43, 359, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.8 - 1.2. Let c = 23.1598 - 0.1858. Let q = j + c. What is q rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9499.708 to 0 decimal places.\nAnswer: -9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 186, 205, 208, 189, 142, 61, -60?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/197, 0.03, 1, -188?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o**3 + 9*o**2 - 5*o + 7. Let x(z) = 9 - 14*z + 18*z**2 + 4*z**3 - 19*z**3 + 5*z + 6. Let f(q) = -9*p(q) + 4*x(q). Factor f(m).\nAnswer: 3*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*d + 9*d - 38 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i + 5 = 0. Let d be (2 + (-4)\/i)\/(4\/50). Solve 6*r - r = -g + 19, d = 5*r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -304 - -310. Let i = s + -3. Suppose -1\/5*m**3 - i*m**2 - 15*m - 25 = 0. Calculate m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 5:54 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-16))**(-1\/23) assuming w is positive.\nAnswer: w**(15\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4156 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: In base 5, what is 121 - 323121401?\nAnswer: -323121230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51452201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**3 + 6*v**2 - 3*v**4 + 8*v**3 + v**4 as n*v**3 + i*v**4 + h*v + w*v**2 + f and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6559385 divided by -205\nAnswer: -31997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/3)*u*u)**(-1\/7)*u**10*u**2 assuming u is positive.\nAnswer: u**(251\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llsjsssesjswjlsllslj. Give prob of picking 2 j and 2 l.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 3*k**2 - 3*k + 7. Let b(a) = a**2 + 13 - 5*a - 2*a**2 - 4*a**2 - 15*a**3 + 13*a**3. What is -3*b(y) + 5*m(y)?\nAnswer: y**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gewvovogvowggooogwk. What is prob of sequence go?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 39 + -13 + 4 + 16?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4117446365?\nAnswer: 5, 331, 2487883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 11. Let q be g(7). Put q, 2\/5, -5 in descending order.\nAnswer: q, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*t + 21639 + 4755 = 86*t. What is the remainder when 16108 is divided by t?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -654 (base 10) to base 13.\nAnswer: -3b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51220813, -51220810, -51220805, -51220798, -51220789, -51220778, -51220765?\nAnswer: -51220750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -23 (c) 1.9 (d) 0.1 (e) 0.4 (f) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*l + 7, 2*l + 28027 - 28028 = -x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p - 13*p + 525 = 35 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60770, 121649, 182528, 243407, 304286, 365165?\nAnswer: 426044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3873 + 7673 - 3873 = 8*v - 3*a, -2*v + 113 = 3*a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 678879522 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -439. Let w = k + 202. Let z = w + 163.9999842. Round z to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = y + 17, 0 = -3*u + 2*y - 16. Let b = u - -14. Let x(j) = 3*j**2 + 2*j - 1. Let p be x(1). Solve n = p*n + b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10332188.\nAnswer: 2, 89, 29023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 u, and 1 a when three letters picked without replacement from tuyutautyuuau.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 0 + 7\/240*x**6 - 23\/160*x**5 + 9\/32*x**4 + 4*x - 13\/48*x**3 + 1\/8*x**2. Factor n(b).\nAnswer: (b - 1)**3*(7*b - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100010120 (base 3) to base 12.\nAnswer: 132b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1483 (b) 0.056842 (c) 5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187 + 202. Solve 0 = l + 4*l + w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/10 + 2356*(-17)\/4080 and 43\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 878.6703g in tonnes?\nAnswer: 0.0008786703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -664 by 15.\nAnswer: -664\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 62*n**2 + 855*n + 2430. Determine m(74).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 25 = -25. Let b(x) = -x**2 - 2*x + 99. Let q be b(m). What is the highest common factor of q and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 + 0*r + 0*r - 32*r**2.\nAnswer: -29*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-2 - 4) - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o**2 - 6*o + 7. Let c(x) = -x**2 - x + 1. Let y be (-11)\/(1*(-6)\/150). Let v = -276 + y. Determine v*s(a) + 4*c(a).\nAnswer: 2*a**2 + 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*v = 20, 4*v - 3 - 13 = -5*c. Let r(z) = 6 + c + 7*z - 3*z + z. What are the prime factors of r(10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3*j - 2 + 0*j + 0.\nAnswer: -3*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95836 is divided by 289?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 779341882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 1. Let y be t(4). Let s be 2\/(y\/(45\/2)). Solve 2*g = -5*p + s, 2*p - 4*g - 14 = 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1743\/5104?\nAnswer: 1743\/5104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + y**2 + 5*y + 9. Let a be u(-4). Suppose -2*w - 6 = z, 5*z = -4*w + 21 - a. Let m = -10 - z. Solve m*j = -j + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/14*60\/75?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w**3 - 78*w**2 - 37*w + 177. What is i(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h. Let z(m) = 270505*m. What is j(z(b))?\nAnswer: -270505*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 4 = -o, 250644*o + 2*i + 6 = 250645*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -132 - (142 + -145 - (-2 - -14 - -1))\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 20013056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 75, 166, 277, 408, 559?\n\"Answer: 10*t**2 + 61*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7591\/10 - -760. Let u = j + -119\/110. Which is the closest to 2\/7? (a) -6\/11 (b) 2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 2. Suppose -5*q = x - 6, q + 2 = 3*x - 0. Let a(b) = -b**2 - 21*b + 18. Let k be a(-22). Let f = k + q. What is j(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2 + sqrt(300) + -3*(-1 + sqrt(3)) + sqrt(3))**2)*-2*3*6.\nAnswer: -6768 - 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 1. Let u(k) = k**2 - k + 1. Let h(d) = d**2 - 2*d - 5. Let c be h(4). Suppose c*x = 8*x - 10. What is x*q(v) - 2*u(v)?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 1341.\nAnswer: 3\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -353 * -0.2.\nAnswer: 70.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**5\/180 - z**4\/36 + 12*z**2. Factor b(s).\nAnswer: -s*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1980, 3310, 4640, 5970?\nAnswer: 7300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 25*z**4\/12 - 4*z**3\/3 - 2*z**2. Let d(g) = -33*g + 5. Let w(s) = 8*d(s) + 5*q(s). Let i(p) = p**2. Give i(w(o)).\nAnswer: 196*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0)*(-34)\/(-34).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19) + -4) + -1.\nAnswer: -6*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1284 = -c, -3*y + 8*c = 6*c - 952. Let x = 2239 + y. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.41? (a) -0.314 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -1 + 1 - (28 + -31)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138 (base 9) to base 15.\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 + 2786\/42 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 23748*x - 118640. What is h(5)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -0.3, -9, -5\/2, -76.\nAnswer: -76, -9, -5\/2, -0.3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and ((-3)\/2)\/((-3)\/28)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a - 6. Let h be l(4). Suppose -3*q + 2 = -h*q. Solve -4*t = -5*d - 1 - 4, -q*t - 2*d = -16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 6*u**2 - 7*u + 10. Let t be y(7). Suppose -p - 3*a + 26 = -2*a, -3*p - 4*a + 77 = 0. Let v = p + t. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 3*y**5\/20 + y**4\/2 - 3*y**2 + 8*y. Let q(s) be the third derivative of -s**5\/60 + s**3\/6 + 2*s**2. Give -i(n) - 6*q(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*y - 58*y + 222*y + 74*y - 55*y to u*y + t and give u.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5203198143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**3\/3 - m**2\/2 - 9*m - 22. Suppose 2*s - s = 96. Calculate the remainder when s is divided by b(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-21) - (-39)\/(-91)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-63)*-3 + 85\/357. Sort -3\/2, 0.1, -4, -24, d in ascending order.\nAnswer: -24, -4, -3\/2, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o - 1347 + 85 - 634 = 0. What is the remainder when o is divided by 58?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-2 - (-7 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2574274401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 13\/6677, -3, -0.2 in increasing order.\nAnswer: -3, -0.2, 13\/6677, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/4 - 222*p + 889\/4 = 0. What is p?\nAnswer: -889, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10902 divided by -69?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(5\/3)\/f*f**12*(f*f**(2\/9))**(-10\/3) assuming f is positive.\nAnswer: f**(232\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 3*g**2 + 2*g + 1. Let z be i(2). Let t be (-4)\/(-6)*z\/6. Let s be 196\/(-6125)*(1 + 3\/2). Is t bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1123000 + 12324?\nAnswer: -1110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-60)\/24 - (-2)\/(-4). What is the second biggest value in 4, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*d = 654 - 118 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(4))\/sqrt(3) + sqrt(5))**2 + sqrt(20)\/sqrt(4) + 4 + -5.\nAnswer: sqrt(5) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 186 = -0*r. Let k = 0 - r. What are the prime factors of k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, 219 in decreasing order.\nAnswer: 219, 10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.864175 less than -50634382?\nAnswer: -50634378.135825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -12)\/12 - -5. Let c = -6 - -8. Suppose 2*m = -5*g - c - 3, -5*m = -5*g - 40. Sort g, 1, u in decreasing order.\nAnswer: u, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2512108 + -2512109.345831. Let n = 1.345 + c. What is n rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9033 (base 15) in base 6?\nAnswer: 352503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*c = 26, 0 = 3*j - j + 2*c - 2. Suppose -j*z = -z - 148. Let w = z - 6. Solve 0 = -4*v + 3*i - w, 3*v + 3*i + 5 = -2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2 + 75*h + 11. What are the prime factors of g(22)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 11:44 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 2*k = -78. What is the greatest common divisor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2891149816.\nAnswer: 2, 73, 4950599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 25 = -2*d - q, -d - 3*q = -6*q - 20 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18445, 36891, 55337, 73783, 92229, 110675?\n\"Answer: 18446*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 1:47 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9681 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 17280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-one halves of a decade?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from ofuofoffuffucf?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, z: 2, m: 1, e: 1, k: 3}. What is prob of picking 1 e and 2 f?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**42\/(n\/(n\/(n\/n**26*n))))\/((((n\/(n**(5\/4)*n*n))\/n)\/n)\/(n\/(n*n**19))))**35 assuming n is positive.\nAnswer: n**(7175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - (0 - -4)) + (211 - 212).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -82096187 to the nearest one hundred thousand.\nAnswer: -82100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702499 is divided by 75.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1657950?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 29 = -3*l, 2*a - 7 = 2*l + 47. Let q(x) = 2*x - 7. Let y be q(6). Suppose 0 = y*n - 23 - a. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 421357a (base 11) to base 9.\nAnswer: 14870758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 0*a**2 + 0*a - 10\/3*a**3 + 0*a**5 + 0*a**6 + 0*a**4 + 6\/7*a**7 + 4. Find the third derivative of z(t) wrt t.\nAnswer: 720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009 is divided by 175?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87.5 + 91.5. What is the closest to j in 3, 2\/7, -1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*g**4 + 0*g + 3\/2*g**3 - 11\/8*g**2 + 0.\nAnswer: -g**2*(g - 11)*(g - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z**2 + 7*z**2 + 5*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313037 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 + 75*z + 53. Determine j(-25).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/4)*n)\/n*n**(-6)*(n**(-2))**(21\/8)*((((n*n\/n**(1\/11)*n)\/n*n)\/n)\/n**(2\/11))\/(n**8*n*n\/(n*n**(-3)*n)*n) assuming n is positive.\nAnswer: n**(-223\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 4:41 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.826162 millilitres?\nAnswer: 0.005826162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 158.3 + -158. Let a = -0.1 + 0.05. What is the third smallest value in 1, a, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -5, -0.5, -4, 0.2, 0.013?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 92 = b, 2 = -3*t - 4. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 10*j - 8. Let y be n(-11). Which is the smallest value? (a) 0.5 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 85, x + 17*q + 143 + 151 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*m + 6*m + 5*t, 0 = 2*m - 4*t + 26 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 4*v**2 + 0*v**2)*(-28*v - 4*v + 18*v)*(2*v - 2*v + v).\nAnswer: 14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 3. Let g(o) = o**2 - 3*o**2 - o + o**2 + 6*o**3. Let p be g(-1). What is c(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.69716 - 1.43716. Let r = -2\/11 - -36\/77. Which is the third smallest value? (a) r (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1449717*a + 14*a**2 + 1450607*a - 10*a**3 + 23*a**2 wrt a?\nAnswer: -60*a + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**2\/3 + 169037*l\/3 + 33808 = 0. What is l?\nAnswer: -3\/5, 33808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -38.19 and 2.\nAnswer: -36.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 819*d**2 + 1. Let s(u) = 2*u**2 - 4*u**2 + 445*u - 226*u - 219*u. What is s(j(x))?\nAnswer: -1341522*x**4 - 3276*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 3*r**2 - 2*r - 19. Does 14 divide k(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 274, 600, 926, 1174, 1266?\nAnswer: 1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/135 and 2\/13?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 21. What is the remainder when c(12) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -258 by 5.\nAnswer: -258\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -211, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 169 + -162. Calculate the remainder when 124 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48955 + -48981.897. Let s = 0.597 + n. Let a = 26 + s. What is the smallest value in -2, a, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 5*o**2 - o. Let g be k(-5). Let x(j) be the second derivative of j**3\/6 - 5*j. Let s be x(2). Solve -6 = -g*b + s*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 76983, 76979, 76973, 76965, 76955?\n\"Answer: -d**2 - d + 76985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5169 divided by -2\nAnswer: 5169\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w + 1223. Let j(d) = 7*d + 1226. Determine 4*j(s) - 3*r(s).\nAnswer: s + 1235","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(1900) + 2))*-4)**2 + -3 + 3 + sqrt(475) + sqrt(19).\nAnswer: 582*sqrt(19) + 24688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i - 2 = -18*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -300.3 - -300.5. Let x = 0.63 - -2.37. What is the nearest to -3\/7 in x, 0.1, 2, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5133 and 638?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/22 and -18\/65.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 678*j - 688*j + 8321 = -87879. List the prime factors of j.\nAnswer: 2, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l - 2*l)*(2*l**4 + 0*l**3 + 0*l**3) + 5*l**5 - 5*l**5 - 2*l**5 + (5 - 3 - 1)*(14*l**5 + 8*l - 8*l).\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llzxuxlpxxlplp. Give prob of sequence pz.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 49 = -5*u + 38, 0 = 4*z + u - 5. Let n be 20*3 - (2 + -4). Calculate the highest common divisor of z and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15684 * -530\nAnswer: 8312520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.026 (b) -1 (c) 0.2 (d) 4229 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -51 + -8?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1570919 + -1000746. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544534 is divided by 710?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 11*o - 20. Is (-2416)\/(-40) + o\/10 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 4*j = 37, j + 9 = -2*j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -2*i - 36 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5 = 3*s, -7*j = -4*s - 12*j. What is the units digit of (-2)\/2 - (-446 - s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 23 = -k. Let t = 51 + k. Solve -t*i = -7*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/(y\/(y*y**14)*y))\/y**16*(y*y**(2\/3)*y*y)\/(y*y**17\/y) assuming y is positive.\nAnswer: y**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -457*n**2 - 5*n + 5. Let c(f) = -61924*f**2 - 678*f + 678. What is 5*c(w) - 678*r(w)?\nAnswer: 226*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191276598, -382553194, -573829790, -765106386?\nAnswer: -956382982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 2\/19, 0.57, 5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/99)\/((-22)\/36)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626820321?\nAnswer: 3, 227, 920441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 239 = -5*u, 3*u = 4*t + 153 + 16. Let s(c) = 99*c - 64*c - u*c. Let l(q) = -2*q**2 - 4*q**2 + 5*q**2. What is s(l(k))?\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14d (base 16) to base 4\nAnswer: -11031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -463\/5129 (b) -0.1 (c) 0.5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*o + 47327*m - 47326*m, -m + 5 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3*-102\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39655334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/11)*j\/(j**(3\/10)\/j)*(j*j*j**16\/j*j)\/((j*j*j**4)\/j))**(-2\/55) assuming j is positive.\nAnswer: j**(-1607\/3025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**2\/2 - 2*w + 2. Let v be g(-2). Suppose 0*n - n = v. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3981923 and -3981919 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - (-1 - -4))*-29. Suppose -5*a + w = 15. Suppose -104 = -k + a. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -601\/4 + 150. What is the third biggest value in d, 1\/2, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2375*x - 789*x - 613*x - 783*x.\nAnswer: 190*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 469218 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 divided by -69?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.34 - 0.04. Let x = -0.3 + k. Let o = x - 3. What is the nearest to 1 in -4\/3, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - 157bb0a?\nAnswer: -157bb00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*a - 21391 - 16649, 3*q = 4*a - 76003. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18931\/255 - -371\/5. Let f = n + -32\/51. Which is the second smallest value? (a) f (b) 6\/17 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 10*n + 10. Let u(z) = -z - 1. Let h(d) = 8*d**2 - 2*d - 6. Let i(j) = h(j) - 4*u(j). Let s be i(1). Give r(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6605 - -398. Suppose 0 = 2*m - 0*m + 5*v - 2805, z = 5*m + 3*v. Suppose 3*x + 4*w + w - m = 0, -2*w - 2354 = -5*x. Round x to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*(2*(2 + sqrt(2057) + 1) + (2 + sqrt(2057) + 2)*-2))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 30 = -5*n + 5*x, 5*n + 2*x = -9. Let d(h) = 1 - h - 6 + 2. Determine d(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -496.5 rounded to the nearest ten?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-231*f + 10*f - 52*f)*(3*f**2 - 3*f**2 - f**2) to h*f + s*f**2 + t + l*f**3 and give l.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15790.\nAnswer: 2, 5, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -23*x - 12. Let l be -5 - (0 + -5)*(1410\/75 - 18). Calculate a(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 + 12*c**3 - 17*c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + c - 264. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o - 289*o - 60*o.\nAnswer: -363*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggkb when four letters picked without replacement from {b: 1, q: 4, k: 2, g: 4, f: 3, o: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22, -1, -34, -83, -154, -253, -386?\n\"Answer: -u**3 + u**2 - 19*u + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.6 + -200.6. Let f = 180.0089 + p. Round f to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72147463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-309)\/(-2472))\/((-1)\/104).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 1. Let y(z) = 24*z**2 - 2*z - 12. Let n(t) = 10*s(t) + y(t). Let w be n(2). What is the greatest common divisor of 75 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.13, -0.4, -473, 3, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - -2.9. What is o rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z - 1765 + 4451 = 0. Do z and -98 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6370286*f - 46590387?\nAnswer: 6370286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694 is divided by 238.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -14*u**2 - 7*u + 6. Let t(o) = 70*o**2 + 34*o - 28. Calculate -14*c(l) - 3*t(l).\nAnswer: -14*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595*i**2 - 5 + 5.\nAnswer: -595*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 71*r + 232. Give x(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/84)\/(17\/238)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/4)*w)**(-29)\/(w*w**(-1\/2)\/w)**6 assuming w is positive.\nAnswer: w**(-249\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26470, -52929, -79382, -105829, -132270?\n\"Answer: 3*s**2 - 26468*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5676 and 91476308.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-526)\/((18\/(-5) + 4)*-5). Let p = v - 108. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + (3 - (-3 + 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 988.0024 litres to millilitres.\nAnswer: 988002.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-64)*233*4. Let m = -58 + i. Solve 1\/4 + 1\/4*a - 1\/4*a**2 - m*a**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 10*l**2 + 336*l + 3. Let u(r) = 11*r**2 + 343*r + 3. What is -6*c(m) + 5*u(m)?\nAnswer: -5*m**2 - 301*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86078 + 68788 = 15*h - 9*h. List the prime factors of h.\nAnswer: 53, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -188 in descending order.\nAnswer: 5, -5, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000111011000010 + -1111111?\nAnswer: -1001000111101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 648 - 677.9. What is f rounded to 0 dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 8:42 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, t: 3}. Give prob of sequence dt.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1. Let m(d) = d**3 - d**2 - 2*d + 3. Let s be m(2). Let y(i) = -i**2 - i. Let a(l) = 3*l**2 + 4*l + 2. Let q(t) = -a(t) - 5*y(t). Give s*z(u) + q(u).\nAnswer: 2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -3140891234.\nAnswer: -3140891234.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**7\/140 + h**6\/30 - h**5\/20 + h**3\/12 + 45*h**2. Factor z(g).\nAnswer: -(g - 1)**3*(3*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 15 = 0, 13*m - 8*m - 29 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2753.995 - -2775. Let s = x + -0.005. Let z = 22 - s. Is 4\/11 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 104?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 233*u**2 - 101*u**2.\nAnswer: -334*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from vffnfvxbvffvfbtvvbvf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*(-21 - -23)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457948 is divided by 38156?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 11:27 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -922171464047000 and -0.3.\nAnswer: -922171464047000.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g + 0*g + 4*g**2 - g wrt g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 3:41 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**5\/20 + 5*h**4\/6 - h**3\/6 - h**2 - 23*h. Is f(-10) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2128 and 21128.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168 + -156 - (-36 - -14).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12529 - -12533. Suppose 0*i = 4*i - 8. What is the third derivative of i*a**p + 67*a**3 - 3*a**2 - 67*a**3 - 7*a**4 wrt a?\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) -6.12 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - 3*v - 368. Let g be y(17). What is the highest common factor of g and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*12\/126*6\/1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 624240*293\nAnswer: 182902320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or -47.4304?\nAnswer: -47.4304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3776 at most 3778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2112136)\/(-21192) - 50*2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20332 - -14683. What is the ten thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -50. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-8)\/(-3))\/4)\/((-14)\/(-126)). Let s(k) be the second derivative of -1\/12*k**3 + 18*k + 0*k**2 + 1\/60*k**d + 0 + 1\/8*k**4 - 3\/40*k**5. Factor s(t).\nAnswer: t*(t - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = k. Suppose -k = 2*u - 5. Suppose 5*w = -5, -u*q + 1 = 2*w - 9. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = m + 57, 5*h = -0*m - 4*m - 48. Let b be h\/(-42) + (-1284)\/(-14). Suppose 0 = l - 2, 3*v + 5*l - b = -34. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/(-2)*(-13216)\/(-6608).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.072 - 0.428. Let t be 1 + ((-16)\/6 - -2). Which is the nearest to 0? (a) t (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 9051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 49*i + 23. Give h(4).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -507697*v + 3039455.\nAnswer: -507697","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 870 + -856. What is the greatest common factor of 1330 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08654 - 4672.91346. Let y = u + 5179.8. What is y rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/12 + (-69)\/(-12). Suppose -2*l - l + 13 = -2*d, p*d + 29 = 4*l. Let v(n) = -17*n**2 + 16*n**2 + n - n - l - n**3. What is v(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97.06 + -97. What is the smallest value in j, 5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8251 - -6*(-25)\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029424 to the power of 1\/2, to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000258 to six decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 17*j - 22. Let z be m(16). Let k be (10 + z)*(-3)\/(-12). Find r such that 1\/4*r**2 - r + k = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5026233010 rounded to the nearest 1000000?\nAnswer: -5026000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 224986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.026 - 0.0259986. What is q rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38151 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 294 + -356. What is the second smallest value in 0.4, 0.5, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 23*x**4\/4 + 4*x**3\/3 + 23. What is the third derivative of k(g) wrt g?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z - 5. Let o be (-99)\/(-15) + 2\/5. Let l be x(o). What is the greatest common factor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 14*t + 28. Give w(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1459332 tonnes?\nAnswer: 145933.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + (-1 - -4))*(-3)\/18\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*b + 3*u, 3*b - 4*u + 1 = -7 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2638884, -5277760, -7916636, -10555512, -13194388, -15833264?\nAnswer: -18472140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 821 - 139. Which is greater: j or 680?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + k = -50, 0*p = -2*p - 3*k - 50. Let r(i) = 6 + 38*i + 16*i + 19*i - 7*i - 21*i + 19. Let b(o) = -11*o - 6. What is p*b(c) - 6*r(c)?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1993?\nAnswer: 9965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 795 - 462. Calculate the highest common divisor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26.31 - -26.55. What is the nearest to -1 in -4, b, 14, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -243, -273, -305, -339?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*h - 207 = 86 - 69. Let l(a) = a**3 + a**2 - a + 1. Let b(v) = 7*v**3 + 10*v**2 - 9*v + 6. Let c(i) = b(i) - 6*l(i). What is the units digit of c(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -22202?\nAnswer: 22132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 322 - 63. What is the greatest common factor of h and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-9 + 9)) + 1\/(-1). Suppose -2*t = 2*t - 4*u - 20, 0 = 5*t + 2*u - 53. Calculate the remainder when 186 is divided by (-3073)\/(-63) - 2 - d\/t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-10))**(-36)*(n\/((n*n*(n*n**(2\/39))\/n*n)\/n*n))\/(n\/(n**(-20)*n)) assuming n is positive.\nAnswer: n**(13180\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**4*v**(3\/7) assuming v is positive.\nAnswer: v**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*b + b - 3724 = 34*b for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33794 and -0.011?\nAnswer: 33793.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - 2*sqrt(153))*5)\/sqrt(9).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 54732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 + 48. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13\/10 (b) 4 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.3 (c) 75 (d) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(0\/(-24))\/(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4813 - 4813. Let x be (-4)\/10 + 14\/60. What is the nearest to -0.12 in r, -1\/7, x?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 0*f - 3*f = 21, 79*a + f = 85*a - 22 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -629 rounded to the nearest ten?\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -49 + s - s - 2*s - 125*s**2 + 51 + 110*s**2 in the form n*s**2 + p*s + v and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5557 - 5534. Solve 0 = x*z - 74 + 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6367961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 6*x**2 + 6*x - 4. Let g(u) = 6*u - 7. Let k be g(0). Let j be s(k). Factor -366*c**4 + 369*c**4 - 2*c**3 + 9*c**2 - 10*c**j.\nAnswer: 3*c**2*(c - 3)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-38))\/(6\/8) - 2160\/(-22800).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = -1. Let l be 20\/15 + q\/(-3). What are the prime factors of 45 - (l - (-2)\/(-2))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36782606 divided by -4?\nAnswer: -18391303\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 254830967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.3, 14 in descending order.\nAnswer: 14, 3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000035416031 rounded to 7 dps?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from {u: 1, i: 1, q: 3, n: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2 and 70\/99?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 64 = -3*g, 2*i + 151*g - 150*g - 25 = 0. Let y(l) = -4*l**2 + 3. Let f(v) = -7*v**2 + 6. What is i*y(n) - 6*f(n)?\nAnswer: -2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - -37 - (-7 - 1) - 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 6 - (5 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -271*s**3\/3 + 1449*s**2\/2 + 661*s + 2. Differentiate c(q) with respect to q.\nAnswer: -542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, e: 7, t: 3}. Give prob of sequence tke.\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 4*g**2 + 3*g + 17. Let a(f) = f**3 + 5*f**2 - 7*f - 2. Let t be a(-6). Suppose -14 = -t*j + 34. Is p(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 333071293*y**2 - 3*y + 552826197 wrt y.\nAnswer: 666142586*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2276386703 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -37*a**2 - 30*a + 9. Let s be l(4). Which is smaller: -699 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3037 - 0.6037. Sort -2.48, -4\/5, m, 2\/11 in decreasing order.\nAnswer: 2\/11, m, -4\/5, -2.48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/(-5) + ((-1671)\/(-15) - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 2*k**2 + 3*k - 3. Let b be z(3). Suppose 4*w = -5*m + 49 - 7, 4*w + 8 = 0. What is the remainder when m is divided by 1*(b - -1) - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 5*f**2 - 2*f - 5. Let m be a(4). Suppose 0 = d - 4*b + m, -b = 4*d - 31 - 8. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(y - y + 2*y + (-y + 4*y - y)*(-6 + 0 + 3) + (-2 - 1 + 1)*(-5*y - 7*y + y)).\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 3223356\nAnswer: -3223356.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -2623.\nAnswer: -2620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 57920 to the nearest 1000.\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1652781, -1652780, -1652779, -1652778?\nAnswer: -1652777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 226626293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 9*r + 21. Let j(w) = w**2 + 10*w - 21. Let l(p) = 3*j(p) + 4*v(p). Let z be l(-9). Let d(k) = -k**3 - 7*k**2 - 4*k + 7. Give d(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28086 by -5.\nAnswer: 28086\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**4\/12 + 4*p**3\/3 - 7*p**2 + 3. Let x(l) = 5*l. Give r(x(a)).\nAnswer: 10*a + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbq when three letters picked without replacement from bqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(10\/7)*g**(-1\/14)\/(g**5*g*g) assuming g is positive.\nAnswer: g**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3132*i + 2630*i - 8534 = 0 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w + 5. Let l be q(4). Let x(f) = f**2 + 7*f. Let n be x(l). Suppose 5*i + n = 5, 3*o - 5*i = 16. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 26556.\nAnswer: 79668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*f**2 + 145*f**2 - 287*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(2\/3)\/b)\/b)\/b)**(11\/2)\/((b**(1\/5)*b)\/(b\/(b**6*b))))**(29\/4) assuming b is positive.\nAnswer: b**(-3161\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -3)*(0 - -5). What are the prime factors of 64\/3 + z\/(-15)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.15090058 and -21?\nAnswer: 17.84909942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*r + 138*r + 1914 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -2690?\nAnswer: -8\/1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoio when four letters picked without replacement from zkizczzzkzzzoozzzz?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10487858 to the nearest integer?\nAnswer: 3238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-seven thirds of a hour?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 0 + 16*x + 1\/6*x**3 + 0*x**2. Let w(r) = -r**2 + 2*r**2 - 4*r**2. Calculate c(w(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*d + 58100 - 10886 = 0. What are the prime factors of d?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197045399 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 39*a**2 + 193*a + 13. Calculate k(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 144.7.\nAnswer: 5.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -51 (c) -4 (d) -2\/7 (e) 0.049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = k - 6, -5*t + 9 = -3*k + 3. Suppose 0 = 5*u - 3*d - 45, 4*u + 4*d - t*d = 19. Let o(p) = 4*p + 306. Let b be o(-75). Solve 0 = 3*y - u*y + b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -69\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2662576 and 23773.\nAnswer: 2662576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5705*c - 11423*c + 84 = -5712*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -7. Let q(n) = 525 - 9*n**2 - 4*n - 5*n - n**3 - 507. Let f be q(b). Is f greater than or equal to 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30277 divided by -16\nAnswer: 30277\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1 + p - 1 + 9. Let h(l) = -2*l**3 + 54*l**2 - 46*l - 165. Let j be h(26). Calculate k(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/14 + (-255)\/819. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 86 + 471*u**3 + 0*u - 473*u**3 + 17.\nAnswer: -2*u**3 - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**5\/8 + 2343*m**4\/4 - 114003*m**3\/8 + 149877*m**2\/4 = 0. What is m?\nAnswer: -1586, 0, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-5)*u\/u**1*(u\/(u\/(u\/(u\/(u\/u**1)*u))*u))**(3\/23) assuming u is positive.\nAnswer: u**(-98\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 12:34 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 102 = 4*o + 74, -5*f + 25 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 g when three letters picked without replacement from xgnxxrrrgxxvxvrexxe.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 2. Let f(s) = s**2 - 5*s - 6. Let j be f(5). Let r be u(j). What is the units digit of 16\/(-2)*r\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.61 in 1\/2, -3, 77.91?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133?\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1572 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 121086698?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 125826141.4 rounded to the nearest ten thousand?\nAnswer: 125830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 1 + 1 - 2 + q**2 + 6. What is t(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6 - 11 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217541752?\nAnswer: 2, 73, 137, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 4*j + j + (21 + 19 + 24)*(-7 + j + 7) to the form s*j + m and give s.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + y = -y - 30, -4*l + 3*y + 24 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -317*d**2 + 138546*d - 7434. Determine y(437).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 118 = 2*f, -4*f = -5*s - 13 - 251. Is f greater than 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 33 = v. Suppose 5*p + v = c + 4*p, p + 19 = 2*c. Suppose -3*a = -c*a + 100. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 2*y**5\/65 + 38*y**4\/13 + 3176*y**3\/39 + 5472*y**2\/13 + 10368*y\/13 + 4504. What is x in f(x) = 0?\nAnswer: -36, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452058874 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.47, -185, 0.4, -15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2628, 35395, 90022, 166521, 264904?\n\"Answer: 2*a**3 + 10918*a**2 - a - 8291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1232 and 1694?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3048136 by -371.\nAnswer: -8216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*v - 104 + 2739, 4*v - 10536 = -4*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14667081?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 15 - (-1 + -10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1709 = 3*n - 4*s, 6*n - 2*s - 2853 = n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**5\/7 + 101*g**4\/7 - 209*g**3\/7 + 46*g**2\/7 = 0. What is g?\nAnswer: 0, 1\/4, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 2*h**2 + h - 4. Let x be (-3)\/(0 - (-3)\/4). List the prime factors of g(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t**2 - 2115*t + 10608. What is s(5)?\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/15 and -56\/55.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 16297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*n - 7 + 2 = 0, 0 = n + 1. Suppose 3*a = -5*t + t + 208, s = -4*a + 2*t + 292. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35\/3 - 1270\/762. Solve -d - 1 = g, 3*g - k = 5*d + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -4 (c) 0 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1130.76 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2 + 2)*(362*m + 985*m - 57*m) - m - 4 + 4 - m**2.\nAnswer: 2579*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 4*f + 2. Let g(l) = -5*l**2 + 69*l - 2. Calculate g(q) + j(q).\nAnswer: -6*q**2 + 65*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -419 and -88043?\nAnswer: 87624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, p: 9, t: 2}. What is prob of picking 4 p?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -42*z + 4. Let h(g) = -83*g + 9. Let m(o) = 4*h(o) - 9*p(o). Let q(a) = a. Calculate q(m(i)).\nAnswer: 46*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**3\/3 + 3*m**2\/2 - 8*m. Suppose -n + 3*n = 4. Give b(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -15*w + 24. Let c be p(6). Let u = -35 - 31. Is u smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1064397 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0105 - 38.8895. Let o = 36.5 - -2.5. Let j = o + q. What is the third smallest value in -0.02, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccccc. Give prob of sequence ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w - 2. Suppose -3*o + 3 = 3*c, -o - w = -2*o + 2*c. Find the second derivative of 0*u + 0*u - 2*u**2 - u + o*u wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*f - 16 = 0, 88 = 3*i - 0*i + 4*f. Let m(d) = 76*d + 228. Let q be m(-3). Solve 2*l = -o, q = 2*l - 7*o + 2*o + i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/10)\/((-1)\/(-5)). Suppose x + 50 = -y*b - 17, -3*x = -3*b - 75. Sort -2, b, 5, 1 in increasing order.\nAnswer: b, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 1, i: 7, n: 3, g: 1}. Give prob of sequence ix.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48605, 48614, 48645, 48710, 48821, 48990?\nAnswer: 49229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/7 - 30\/105. Sort 3, -1, u.\nAnswer: u, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 14*z**2 + 24*z + 10. Let j(u) = -u**3 - 13*u**2 - 25*u - 9. Let o(k) = -6*a(k) - 5*j(k). Let g be o(-18). Sort 5, g, 1 in descending order.\nAnswer: 5, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/15 - 6*1. Let t = o + 36. Let u = -27 + t. Solve 0 = -2*g - 2*n, -3*n + 13 + u = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1016?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/3, -13, -2\/5, 1206.82, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6068871467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4074 - 57027\/14. Let r(s) be the first derivative of -2\/3*s**3 - 1\/21*s**6 + 17 - p*s**4 - 2\/7*s**2 + 0*s - 2\/7*s**5. Determine v so that r(v) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 15 = -4*l - 7, -m + 4*l = -18. Suppose -4*a = -3*a - 3, -m*n + 5*a = -3. Let o be -1 + 11*(2 + -1). Which is greater: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000185763164 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/3346180 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*y + 45*y = 2339 + 571 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 28*k. Let w be (8 + 16)\/(-4) + 8. Let c(s) = s**2 + 12*s**2 - 11*s**w + 5*s**2. Give c(i(z)).\nAnswer: 5488*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 4*k - k)*(0*k + 0*k - k) - 10658*k + 10658*k - 1443*k**2 + (k - k + k)*(3*k + 5*k - 6*k) to the form z + t*k + r*k**2 and give r.\nAnswer: -1443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*i**2 - 276*i wrt i?\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.05616\nAnswer: 0.005616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19384 - -19411. Let f be 2\/(-14) - 16\/(-14). Let g be f\/2 + (-2586)\/(-12). Calculate the greatest common factor of d and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 r when four letters picked without replacement from {z: 1, d: 6, r: 5, w: 3}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6014 = -152*z + 55*z. Solve -z*r + 138 = -85*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 6098001?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 142031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4251776155 - -446440017416\/105. Let w = -33534 + c. Let o = w - 1\/105. Put 5\/6, 2, o in ascending order.\nAnswer: o, 5\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/14 + (4 - (4 - -2)). Which is the closest to l? (a) -2\/15 (b) -3 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 18*t - 258. What is o(41)?\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 + 0 = -5*l. Suppose -17*s + l = -50. Suppose k = 5*m - 1, 3*k + 7 = -m + 5*k. Solve -p = s - m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.9 (b) -4 (c) -82 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*y + 0 - 36 = 0, 56 = -4*h - 2*y. Let z be (-3)\/h + 59\/4. Suppose 8*c = 11*c - z. Calculate the remainder when 9 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*w**3 - 26412*w**2 + 7548*w.\nAnswer: -3*w*(w + 1258)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 - 63. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, h: 5, b: 2, a: 2, t: 2}. Give prob of picking 3 z and 1 t.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12633414 divided by -1761.\nAnswer: 7174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/5))**(-4)*(o*o\/(o*o*o**(-6)*o)*o)\/o**(-7))**4)**(5\/6) assuming o is positive.\nAnswer: o**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*((r**2 - r + r)*(3*r**3 - 7*r**3 + r**3) + 3*r**5 + 0*r**5 - 7*r**5).\nAnswer: 14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(((-132)\/18)\/(-11))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p + 3. Let d be q(-3). Let o = 29 - 20. Let n = o + d. Put n, -5, -2 in descending order.\nAnswer: n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 + -207. Let x = k - -79. Let n = -2 - -1. Which is the closest to n? (a) -2\/11 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.092 - 0.392. Which is the nearest to -1? (a) -4 (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8672979*v + 8672801*v + 6942 = 0 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.08597 rounded to 2 decimal places?\nAnswer: 13.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-12))\/(2\/2932) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206988 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -530*k**3*m**3 - 5*k**3*m**2 - 2*k**2*m**3 - 2116*k**2*m + 6*k + 310*m**3 wrt m.\nAnswer: -3180*k**3 - 12*k**2 + 1860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2 + 12220872*b = 0.\nAnswer: -6110436, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -12. Suppose 3*x - 114 = 5*y, -a*y + 76 = 2*x - 11*y. What is the remainder when x is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540*a**2 - 718*a**2 + 4*a + 0*a + 909*a**2 - 4*a.\nAnswer: -349*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -11*g - 18. Let o be m(5). Let z = -75 - o. Let h be 165 - (z\/11 + (-385)\/(-121)). What is the highest common factor of h and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4254*y**5 + 179*y**3 + 13419*y - 55 wrt y?\nAnswer: -85080*y**3 + 1074*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s - 8. Let d(a) = a + 1. Let g(t) = -5*d(t) - l(t). Calculate g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 654\/5 or 130?\nAnswer: 654\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/2047 and 54\/2497?\nAnswer: 5111359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3468 by -6.\nAnswer: -578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 10. Let b = u + 6. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389*l = -384*l - 60. Calculate the remainder when 27 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-9))\/((-10)\/(-315)). Let n = 262 - j. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 153 + -150. Solve 0*f + 4 = 5*f + h*b, 11 = -2*f + 3*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3417 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2934188 is divided by 88.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*p + 2 + 70 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 7:10 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4*0 + 14. Suppose 0 = f - 0*c - 4*c - r, -f - 2*c = -14. Suppose 10*p - f*p = -348. What are the prime factors of p?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -1, -82506 in increasing order.\nAnswer: -82506, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 753 + 2527 = 0. Let t = y + -54. Suppose -5*w + 299 = -t. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 460 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 18*z + 7. Let o be m(-18). Calculate the highest common factor of o and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 1 (c) 0 (d) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*z + 13 + 2*z**3 - 25 + 74*z.\nAnswer: 2*z**3 - 2*z - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 514, 1944, 4294, 7564?\nAnswer: 11754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21510 + -193385\/9. Let l = 23 - c. Factor -2\/9*i**4 + 0*i + 0*i**2 - l*i**3 + 0.\nAnswer: -2*i**3*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13074 divide 2175701441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392 = 2*x - 14*p, -1367*p + 588 = 5*x - 1388*p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136172 and 944?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 4, -4\/7, 21 in decreasing order.\nAnswer: 24, 21, 4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/2 - (-10)\/(-14). Let a = -53\/14 + h. What is the third smallest value in 29, -3, a?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 2*v + v)*(-3*v - 9*v - 11*v)*(0 - 3 + 4)*(0 + 0 + v) to a*v**3 + m + g*v + q*v**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(16\/4)*35\/(-10))\/(1626\/1084)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 1\/2, 2, 45, 0, 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -55011*x - 6. What is s(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**4\/4 - h**3\/2 + 52*h**2 + 2*h. Determine b(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3644 = -4*j - t, 3*j - 3*t - 2733 = -7*t. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8*(628\/26 - (-144)\/(-936))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2464)\/304 - (-12)\/114.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4) - ((-190)\/(-360))\/(24\/(-48)).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 6 + 3 - 6)*(0*z**5 - 5*z**5 + z**5).\nAnswer: 68*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-5\/12)*f*f\/f**(1\/16))\/((f*f*f\/(f*f\/(f\/f**(-10\/11)))*f)\/f**22) assuming f is positive.\nAnswer: f**(11323\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/3 (b) 4\/5 (c) 2 (d) 63 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*b - 68. Suppose -224 = 9*m - b*m. Suppose 4*o - m = -4*t, 2*o - 47 = -5*t + 11. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (-111)\/60)*(-120)\/(-135). What is the second biggest value in j, -0.3, -21?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 35. Suppose -10*k + 9*k - 3*q + 31 = 0, 2*k + 2*q - 62 = 0. Calculate the highest common divisor of k and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1024)\/(-516) - 2)\/((-60)\/(-36)). Are -1 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2. Suppose -6*d + 2*d + 30 = -2*y, 35 = 3*d - 4*y. Let p be d\/2 - (-4)\/(-8). Let a(l) = 2 - p + l**2. Calculate a(f(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 12:25 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 415 + -397 + (-1 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -154, 3, 6, 222, 4 in decreasing order.\nAnswer: 222, 6, 4, 3, -1, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 take away 0.4814250911725?\nAnswer: 1.9185749088275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 14) in base 15?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*v, 5*d + 2*v = 4*v + 18. Let q be (-1)\/(-1) - (11 + -14). Let s be (-105)\/(-12) - (-1)\/q. Solve d*h + s = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 966*u + 36480 = 6*u for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + 10. Calculate the highest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29.16 - 0.86. Let o = 33.3 - a. Which is smaller: o or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -31.\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32990 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: Calculate the greatest common factor of 810628 and 147.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-294)\/(-252)*8\/14. Let x = 6 - -32. Let f = -381\/10 + x. Which is the closest to p? (a) -1\/4 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7924, -15846, -23768, -31690?\n\"Answer: -7922*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630123377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 574 and 1066?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*a**4*d - 117*a*d**2 + 81*a - 4648*d**2 + 75 wrt a?\nAnswer: -16*a**3*d - 117*d**2 + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/(-52))\/(4\/8). Let y = p + 1\/39. Let w = -28.3 - -28. What is the closest to 0 in y, 3\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1890.3 + -3725.\nAnswer: -1834.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 3*v**2 - 4*v + 3. Suppose 13*d - 17*d + 1 = -5*w, -5*w = 2*d - 23. What is the remainder when d is divided by y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 2. Let s(b) be the second derivative of 0 + 13*b - 1\/2*b**2 + 0*b**3 - 5\/12*b**4. What is s(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 1133 - 103. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 55699.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 15692 = p, -2*p = -9*q + 5*q - 31408. Does 54 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 333398720 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.3, -1\/222, 1\/7, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9301 + 0.0699. Let x be (-1)\/(-4)*2*1. Which is the third smallest value? (a) k (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101130 (base 4) to base 11.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**4*k + 26515*h**2*k - 49*k + 17600 with respect to h.\nAnswer: 16*h**3*k + 53030*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6)*(14 + -11). Let w be z\/8 - 1080002\/8. Round w to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -13. Let c(t) = -5. Let x(w) = 15*c(w) - 6*n(w). Let l(i) = -i**2 - i - 4. Calculate -2*l(d) - 3*x(d).\nAnswer: 2*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g = -137*g + 141 - 1541 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/41, 32, -2 in increasing order.\nAnswer: -2, -1\/41, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 34*g**2 + 9*g + 2. Let p be o(-2). What is the highest common factor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g + 24. Let p(l) = 7*l - 73. Let a(v) = 11*m(v) + 4*p(v). Let z be a(-6). Solve 0 = 3*o - 5 + z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53923*c**2 + 29*c**3 + 53923*c**2 + 327*c in the form a*c**3 + f*c + d*c**2 + z and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3022 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 l(a) = 2*a - 9. Suppose -6*j + 30 = -j. Let t be l(j). Suppose -b - 9 = t*h, -4*h - 28 = -5*b + b. What is the remainder when 7 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwtwwwwtwtwwwww. Give prob of picking 2 w.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence goo when three letters picked without replacement from {g: 3, o: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - q + q**5 + (-4*q**4 + 4*q**4 + 8*q**4)*(q + 2*q + 2*q) - 3*q - 2*q**5 + 3*q.\nAnswer: 39*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 4*q - 5*q)*(-1 - 4 - 10) + (-4*q + 6*q + 0*q)*(-4 + 4 - 2) to u + i*q and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -43972\nAnswer: -219860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 14*d - 3 = 0. Solve 2*r + d*m = -14, 5*r + 0*m + 26 = -3*m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17))*-4*-3 + 4.\nAnswer: 16 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - (28 - 12)) + 82. Calculate the greatest common divisor of 369 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 3*u + 2*u)*(3 + 3 - 5)*(451 + 1160 - 392 + 426).\nAnswer: -1645*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f - 5*f + 5*f - 7*f + 0*f - f + (6 - 2 - 2)*(0 + 0 + f) - 3*f + 3*f + 2*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -81?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 7:24 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*a - 4216 = -57*a + 178*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, -14, 1200, 4 in increasing order.\nAnswer: -14, -6, -5, 4, 1200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6382*i - 44185. What is f(-7)?\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749085 is divided by 42.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45616847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 6:04 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 49*j - 112. Give z(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.900027 + 6.9. Round b to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830.5308 weeks to minutes.\nAnswer: 8371750.464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*v - 13, 55 - 72 = -v - 4*c. Put -5, -33, v in ascending order.\nAnswer: -33, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-3)**2 - (1*sqrt(162) + sqrt(2)) - (sqrt(720)*-2 + sqrt(20) + sqrt(20))\/(-1*sqrt(90) - sqrt(10)).\nAnswer: -25*sqrt(2)\/2 + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 160*u**2 - 143*u - 4. Let h(z) = 161*z**2 - 141*z - 6. Let v(t) = -2*h(t) + 3*i(t). What is the second derivative of v(s) wrt s?\nAnswer: 316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from {a: 5, i: 8, k: 4}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3050437107.\nAnswer: 3, 31, 32800399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is da3 - 2975?\nAnswer: -1ac2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {o: 2, a: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 98175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1532*b**3 - 42086*b**2 - 1559*b**3 + 478*b**3 + 21043*b**2 + 21042*b**2.\nAnswer: -2613*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*f**3*i**3 - 2*f**3*i**2 + 36323*f**3 - 4*f**2*i**3 + 3*f**2*i - 1175*i**3 wrt f?\nAnswer: -24*i**3 - 12*i**2 + 217938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - i - 1. Let p(z) = -4*z**2 + 3*z + 3. Determine 3*m(v) + p(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*n + 227, 5*n - n = 4*a - 180. Suppose 4*c + 5*q - 40 = 0, 2*c - a = -0*c + 4*q. What is the smallest common multiple of 6 and -2 + 1 - (4 - c)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319268055?\nAnswer: 3, 5, 73, 291569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 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 -1092 divided by -116302.\nAnswer: 546\/58151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*o - 17490, 7*o - 3*o - 11668 = -2*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114372, -457479, -1029324, -1829907, -2859228, -4117287?\nAnswer: -5604084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1741*n + 5590 = 938*n + 79*n - 77150 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u**2 - 13*u - 15. What is the units digit of j(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -12 - 8\/7*l**3 - 30\/7*l - 3\/28*l**4 - 51\/14*l**2. Find z such that w(z) = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 d, and 1 i when three letters picked without replacement from {e: 2, d: 7, i: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14bba4 (base 12) to base 16.\nAnswer: 560ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -10)*10\/(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4\/h)\/h*h\/(h\/(h*h**(2\/23)*h)))\/(h\/(h*h\/(h*h**(-6\/5)*h))*h)**(11\/6) assuming h is positive.\nAnswer: h**(904\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q - 6. Let w be t(2). Suppose -4*c + w + 16 = 0. Let j(a) = -a + 10. Determine j(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 0*h + h + (0 - 2 + 4)*(-3*h + h + 0*h) - 299 + 299 - 45*h - 12 + 234*h - 14 + 26 to m + k*h and give k.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 b, and 1 c when three letters picked without replacement from uacnbbk?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from awaiiz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/14*(-8)\/(-10)*-1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*z - 312*z + 108 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83161 or -19065?\nAnswer: -19065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4393\/246 - -739\/41. Suppose -4\/3 - 1\/3*u**2 + o*u**4 - 1\/2*u**3 + 2*u = 0. Calculate u.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 10*l**2 + 54*l - 2. Give c(-14).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9168943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601445 (base 9) to base 11.\nAnswer: 223010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4}. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*u - 418*u - 290*u + 12420 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r = 25. Let n(g) = -g**2 + 17*g - 13. Let l(y) = y + 1. Let f(d) = 5*l(d) - n(d). What is the remainder when r is divided by f(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.95048 rounded to one dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.61611 - 0.\nAnswer: 1.61611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 273 by -8.\nAnswer: -273\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 9748401 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12) - (sqrt(144) + sqrt(144)*-2)\/sqrt(12))\/(5*(sqrt(96) + sqrt(6) - sqrt(6)))*-5)**2*3*2 + 4)*3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 14) to base 11\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1377 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404778 is divided by 406?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11709491 is divided by 5854742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-876)\/36*7\/161*69?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*k*q*v**3 - 5*k*v**3 - 1184*k*v**2 + k*v - 408*q**2*v**3 - 4*q**2 with respect to q.\nAnswer: 6*k*v**3 - 816*q*v**3 - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -3*x**2\/2 + 9*x + 19458. Let l = 1 + 1. Suppose -t + l = -4. What is v(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + v**2 - 2*v + 4. Let j be 0\/(3 + 3 + -5). Let c be u(j). Sort 3, c, -2.\nAnswer: -2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 11*x - 1. Let h be w(10). Suppose 4*q - h = q. Solve -3*u + 4 = -4*d, -d + 2*u - q = 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -1715953535396.4?\nAnswer: 1715953535396.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -16. Suppose 3*s - g*d = 106, -s + 4*s = 4*d + 110. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*k + 23. Find y such that -6*y**3 + 15*y**4 + 1 + 12*y - 12*y**4 - k*y**2 + 11 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 + -32. Let h = k - 31. Which is the fourth smallest value? (a) -4 (b) -0.4 (c) h (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 457971?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23987891831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135.2 + -134.9. Which is the closest to -2? (a) i (b) -1\/4 (c) 2 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*j = 14, -5*v - 2*j - 2*j - 11 = 0. Let h(u) = -4*u + 2. Let s(k) = -1. Let l(z) = -h(z) - s(z). Calculate l(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60032861?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + 324. Suppose 0 = l*t - 357*t - 6. Let o(z) = -6*z**2 - 2*z + 6. Let s(a) = 5*a**2 + 2*a - 5. What is t*o(w) + 4*s(w)?\nAnswer: 2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5.8. Let g = 464641\/7 - 66233. Let a = g + -144. Is a <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 76.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 526665203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 51 - 54. Sort 9, g, -0.3.\nAnswer: -0.3, g, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*p - 170*p - 516 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26700\/77 - -2426\/7. Let u = 132 - 525\/4. Which is the closest to -3\/2? (a) u (b) s (c) -0.3 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/9)\/t**(-2))\/(t**(-1\/7)*(t*t**(-6)\/t)\/t))\/((t**(2\/7))**(1\/3)*(t*t**(-2)*t*t)\/(t**(-5)*t)) assuming t is positive.\nAnswer: t**(269\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-104) - (-8 - 3684\/(-390)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9)\/(1638\/(-403)) - 2 and (-37)\/(-124) - (-2)\/(-4).\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3287959?\nAnswer: 3287959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329027828 + -0.3.\nAnswer: -329027828.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 3*o + 1. Let u be m(2). Suppose 4*x - 18 = -u*r - 0, -3*x + 13 = 2*r. Suppose -r*d + 2 = -0*d. Which is bigger: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 3*t + (-2 + 1 - 2)*(319 - 75*t - 319).\nAnswer: 222*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 2*g**2 - 1. Let k(z) = -z**3 + 230*z**2 + 2091*z - 2. Let t(o) = k(o) - 2*q(o). What is the second derivative of t(m) wrt m?\nAnswer: 6*m + 452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from lpllllllpl.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -550070609620569 + 550070628108865.00000148. Let l = j - 18488303. Let m = 7 + l. Round m to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16423 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16*((-81)\/9)\/(-225))\/(18\/(-180)).\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(187)*1)\/((sqrt(22)\/sqrt(2) + sqrt(11))*1).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**5\/20 - i**4\/3 - i**3\/6 + 5*i**2\/2 + 784*i + 3. Determine z(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, g: 6, r: 4, d: 6}. Give prob of sequence jrrj.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -51170*u + 31623056. Determine o(618).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - 73 + 11756*x - 11760*x)*(-2*x**3 + 4*x**3 - x**3).\nAnswer: -4*x**4 - 107*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2. Let w(q) = -224*q + 6332. Give w(h(a)).\nAnswer: 224*a**2 + 6332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4213*b**2 + 793*b**3 - 4213*b**2 + (8*b + 46 - 46)*(-2*b**2 + 0 + 0) to the form j*b**3 + s*b + v*b**2 + x and give j.\nAnswer: 777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5490*v**3 + 40*v**2 - 41*v. What is the thousands digit of g(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 + 9*f + 5. Suppose 0 = 2*p + 19 - 23. Suppose 0*y = p*y + 14. Calculate the remainder when x(y) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 2*a + 8, 4*m + 2 - 10 = -a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -7. Suppose a = -n*a + 48. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, q: 5, y: 1, f: 4, t: 1}. Give prob of picking 1 u and 1 y.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.8 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 9*k - 45 = 0. Suppose x - 3 = 1. Suppose -i - 2261 = -k*t + i, -12 = x*i. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 24 = 4*q. Let l = 10 + q. Suppose 4*a = 2*m - a - 65, -2*m + l*a + 66 = 0. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 3:37 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a centimeter in millimeters?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 37. Solve -5*j + 8 - s = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/17)\/((l**(2\/15)\/l)\/l)*((l**(-1\/4)*l)\/l)**39 assuming l is positive.\nAnswer: l**(-7921\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 65175 divided by -1185\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 24 + 4)*(0*j + 4*j + 0*j) in the form d*j + t and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -329 - -995\/3. Factor v*q**3 - 2\/3 - 22\/3*q**2 + 13\/3*q.\nAnswer: (q - 2)*(2*q - 1)*(4*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 399\/8, -0.2, -1\/6, -1\/17?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 20 = 4*h. Solve x - 4*x = 3*a + 12, -x - h*a - 4 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 + 252. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 a when three letters picked without replacement from {e: 2, a: 1, h: 1, x: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 + w - 5*w**4 + w**4 + (w + 2*w - 5*w)*(2*w**3 - 1 + 1).\nAnswer: -7*w**4 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.24 * -1.\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 11*u + 4 = 0, -5*t - 2*u + 212 = 0. Suppose -3*m + 3759 = -5*w, 0 = 45*m - t*m - 2*w - 3750. Is 26 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o + 9. Let i(r) = 19*r + 3. Let b(f) = -52*f - 8. Let u(z) = -4*b(z) - 11*i(z). Determine -q(h) - 4*u(h).\nAnswer: h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11975931 a multiple of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*-2*sqrt(1573) + (sqrt(1573)*1*-3 - sqrt(1573)) - ((-3*1*(sqrt(1573) + 2))**2 + 1).\nAnswer: -14198 - 506*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4)\/(n\/n**(1\/4)))**(-33))**(1\/10) assuming n is positive.\nAnswer: n**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17849.33 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 y when three letters picked without replacement from {y: 1, i: 1, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, 425 in increasing order.\nAnswer: -15, 2, 425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 482 and 23752?\nAnswer: 11448464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.06 and 0.07.\nAnswer: 4.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/15*(-3)\/12.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -7518755330715.\nAnswer: 7518755330713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -807*z. Let b(n) = n**2 + 11*n + 159. What is b(v(k))?\nAnswer: 651249*k**2 - 8877*k + 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*n - 54, 2*n - 69 = -3*n - 3*m. What is the remainder when 25 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2 - x - 7*x + 1 + 8. Is 12 a factor of r(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84*(-131)\/(-5502))\/((-1)\/(-18))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 + 59 + -6 - ((-23 - -12) + 6).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -33*v - 233. Let l be q(-36). Suppose -y = 2*o - 955, 5*o = 3*y - 4*y + l. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 - 8.88. Let d = 13 + j. Which is the closest to 0? (a) 5 (b) d (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3722 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/213750 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21768, -21673, -21578, -21483?\nAnswer: -21388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.74 times 53?\nAnswer: 39.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of ((-4)\/42 + (-58311557)\/(-7014))\/((-1)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130282?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/9)\/s*s*s*s)**(-6\/29))**27\/((s*s\/s**(-3)*s*s**(4\/3))\/(s**(-2\/3))**(-47)) assuming s is positive.\nAnswer: s**(336\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vssssvsssvsvvvvvsv. What is prob of sequence ss?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 21 - o**3 + 2*o**3 - 2*o**3.\nAnswer: -o**3 - 2*o**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 o when two letters picked without replacement from lzllnoln.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 50 + 80 + -183 - -133\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 1. Let b be r(2). Let d be 9*((-1)\/b + 0). Let s = 7 - d. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 3*t = -5*d - 75, -75 = -5*d + 5*t. Let i(r) = 6*r - 12. Let q be i(d). Is 108 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24210 + -24207. Let u(q) = q**2 + 7*q - 22. Let t be u(-9). Which is the smallest value? (a) t (b) m (c) 5 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(-3 + (sqrt(605) + 1)*-1)**2.\nAnswer: -1242 - 176*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003448722735 to five decimal places.\nAnswer: -0.00345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -k - 2, -4*h + 2*k = -2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/((-250)\/(-6))*(-3)\/9*-31 and 23\/330?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**4 - 2776*j**3 - 2783*j**2 + 16662*j = 0.\nAnswer: -3, 0, 2, 2777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8894197 by -83.\nAnswer: 107159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)*a\/((((a**(4\/3)*a)\/a*a)\/a)\/a*a)*a**(-3)*a**(-4)*((a*(a*a**(-2\/21)*a)\/a)\/a**1)\/((a**(-6)\/a)\/(((a**1\/a*a*a)\/a)\/a*a)) assuming a is positive.\nAnswer: a**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -16*a - 522. What is the least common multiple of 10 and a\/16 - (-3 - 0) - -229?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 945 and 630?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 - 81. Suppose -3*d = -0*d - j. Let z(q) = -3 + 3 - d + 5 - q. Determine z(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = 4*f - 10, 0 = -x - 4*f - 1. Let b = x + 10. Let v(n) = n + 4. Let o(t) = 5. Let l(h) = 3*o(h) - 2*v(h). What is l(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 82720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**5\/60 + l**4\/6 + 6*l**2. Let k be b(3). Suppose -17 = -t - k*p, 0 = -3*p - 5 + 20. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 79, 84, 103, 142, 207, 304?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9 + 5 + (-2 - 482\/(-60)) and ((-1008)\/(-135) + -9)*3\/(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 645 - 5?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1624566 is divided by 406105?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/5 - 106977*g**3\/5 - 64185*g**2 - 320923*g\/5 - 106974\/5.\nAnswer: -(g + 1)**3*(g + 106974)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2123, 8454, 18989, 33728, 52671, 75818?\nAnswer: 103169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7877749 is divided by 1575549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)\/(n\/(n**(2\/17)\/n*n)))\/(n**(-3\/5)\/n*n*n*n**4) assuming n is positive.\nAnswer: n**(-789\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -576970142, -576970136, -576970116, -576970076, -576970010, -576969912, -576969776, -576969596?\nAnswer: -576969366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.059015645 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/11*30\/(-18)*(-2624)\/10. What is the highest common divisor of 672 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*x**2 - 267287*x + 13007597 wrt x.\nAnswer: 42*x - 267287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -3*c + s - 65, -7*s - 25745 = -5*c - 12961 - 12885 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = 5*a + 13687 - 13699 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z + 19. Let f be q(3). Let g be ((-82)\/(-10) - 4\/20)*f. What is the highest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.880398341 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1600))\/sqrt(5)*-6.\nAnswer: -192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 3520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*r + 5*c - 144, 19*c + 1 + 3 = 8*c + 15*c - 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 + -63 - 12) + 109.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 280\/(-126) - (-4)\/18*1. Let n(o) = -o - 10. Let k be n(-13). What is the fourth biggest value in g, 0.4, -2\/3, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 237*m + m**2 - 257*m + m**2 + 50. Let v(n) = -n**2 + 10*n - 25. Let q(k) = 6*b(k) + 11*v(k). Factor q(p).\nAnswer: (p - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*f**4)*(0*f + 6*f - 4*f) + (22*f**3 - 25*f**3 - 21*f**3)*(-2 + 2 + 3*f**2).\nAnswer: -66*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 0, 3, -51359, 5 in ascending order.\nAnswer: -51359, 0, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**8\/336 + 2*i**5\/5 + 19*i**4\/8 - i**3\/3 - 2*i**2 + 49*i. Find the second derivative of b(x) wrt x.\nAnswer: 20*x**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150306993 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387885089?\nAnswer: 5333, 72733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**2 - 8*f + 18. Let a be k(5). Factor -7*y**a + 6*y**4 + 5*y**5 - 20*y**3 + 15*y**4 - 33*y**2 - 11*y**4.\nAnswer: 5*y**2*(y - 2)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6036, -10240, -14322, -18222, -21880, -25236?\n\"Answer: 10*w**3 + w**2 - 4277*w - 1770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 7:08 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14370*o**2*s**3 - o*s**3 - 10*o*s + 14*s**3 + s**2 wrt o?\nAnswer: -28740*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-192)\/(-80))\/((-9)\/(-30))*-1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.06, -1\/6, -1, -116, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**5\/60 - h**4\/4 - 2*h**2. Let d = 158 - 163. Determine b(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w + 34 = 3*d, 0 = d - w - 14. Let x = d + 5. Solve 4*p - l + x = 0, 2*p + 5*l - 13 = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/2*(-10)\/3. Suppose -2*q + 33 = 5*a, q + 0*q + 21 = v*a. What is the smallest value in 0.3, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.1834 rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2793, -5593, -8393?\nAnswer: -11193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 2. Let r be p(0). Let n be 248\/(-12) - r\/(-3). Let h be 4\/2 - n\/(-9). Put 5, h, -5 in descending order.\nAnswer: 5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2002 is divided by 67.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2)*2\/(-4). Let s = 7 - 4. Let z be 20\/(-25) + -2 - -2. Put c, z, s in descending order.\nAnswer: s, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -48. Calculate the lowest common multiple of (0 + 1)\/1 + 11 and 8\/16*y - (-2)\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -0.4, -0.1, -0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(750)*-5 + (sqrt(30) - 2*sqrt(30)*-4))\/((sqrt(100) - 4*1*sqrt(100))\/(-1*sqrt(160))).\nAnswer: 256*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + 55 + -3 - (-248)\/42.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 893 and 423?\nAnswer: 8037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 5*n**2 - 4. Let z(c) = c**3 + 4*c**2 + 4. Calculate 2*d(p) + 3*z(p).\nAnswer: p**3 + 2*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359740 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 7*s**2 - 9*s + 10. Let i be a(8). Suppose 46 - 256 = -i*t. What is the highest common divisor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 0.5 (c) -9 (d) 0.3 (e) 6385\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 324 + -323 - ((1 - (-3 - -5 - -1)) + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(22) - 1*sqrt(792))\/sqrt(2) - ((-1*sqrt(396)*-6)**2 + 5).\nAnswer: -14261 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10474058, 20948115, 31422172, 41896229, 52370286, 62844343?\nAnswer: 73318400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 324562509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28015 and 12?\nAnswer: 336180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 160 + 120. What is the greatest common divisor of 42 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010277118872 rounded to five decimal places?\nAnswer: -0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k**3 - 9*k**2 + 13*k**3 + 11*k**3.\nAnswer: -2*k**3 - 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**3 + 661644*p**2 - 661648*p = 0.\nAnswer: -165412, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2. Let r(p) = 11*p**2. Determine n(r(m)).\nAnswer: 242*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**3 - b**2 + b + 2. Let f be l(-2). Suppose 5*w + 3*u = f, 3*u - 5 = -w - 1. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.6 - 0.6. Which is the nearest to 0.1? (a) 4\/7 (b) 2\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1695, -15 in descending order.\nAnswer: 1695, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -8*q + 68. Let z be n(7). Let l(a) = 6*a - 5. What are the prime factors of l(z)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 979298.3ug?\nAnswer: 0.0000009792983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 2*k + 2. Suppose -277*n = -280*n - 9. Let b(m) = 0*m**2 + 2*m**2 + 5*m - 2*m + 3. Give n*c(s) + 2*b(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11410 divided by -907\nAnswer: 11410\/907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4793171*v**3 - 3*v**2 - 2*v - 7720179 wrt v?\nAnswer: -14379513*v**2 - 6*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/25, 0.4.\nAnswer: -5, 2\/25, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1147 + -4?\nAnswer: -1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19283707 and 32188?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**2 - 15. Let z(o) be the third derivative of o**5\/20 - o**2 + 819*o. Give u(z(s)).\nAnswer: 36*s**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnd when three letters picked without replacement from {d: 7, n: 2, w: 3, m: 7}?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/16275 and -1\/150?\nAnswer: 32550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 125 + 110?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0 + 0 + (o - 4*o + o)*(-1 + 5 - 3) - 3 + 2*o + 3 - 2*o + 0 + 0 + 2*o - 2*o + 7*o)*(o - 7*o + 2*o)*(9 + 13 - 4).\nAnswer: -432*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11846 = -194*y - 7492 + 1490. Which is smaller: y or -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2. Let s be (12\/(2\/(-1)))\/((-24)\/1968). Let q(x) = -492 - 18*x + s. Determine i(q(h)).\nAnswer: -324*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (12 - (12 - 1284)) + -12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-4)\/(-6))\/(-34 + 36)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -32.8 - 2409\nAnswer: -2441.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/14103 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 200 - 89 - r - 111. Suppose 6 = -2*l, -4*g = -5*l + 1 - 28. Suppose -y + 2 = -g*y. Let p(t) = t. Determine y*p(a) - 2*s(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -11. Suppose 11*h - d*h = -4*y + 1983, -487 = -y + h. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h + 1. Let k be n(4). Let p = -15 - k. Suppose -v + g + 19 = 4*v, -2*v = -5*g - 26. Solve v*d - 2*q - p = -0*q, 4*d - 16 = 2*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h**3 - 3*h**2 - 3*h - 6. Let w(a) = 36*a**3 + 16*a**2 + 16*a + 30. Let q(k) = -3*w(k) - 16*y(k). Find the first derivative of q(p) wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8330781 is divided by 1418?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 8:02 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -213654 smaller than -213646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 560 - 102. Let d = u - 305. What are the prime factors of d?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 4 - 6)*(n**5 + 3 - 3).\nAnswer: -23*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 2. Let q be p(0). Let f be (8 + -1 + 1)\/q. Let b = f - -6. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (0 + -7)) + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**2)*c)\/(c**(-3\/2)\/c)*c**8\/c*c*c*c\/(c**(-2\/23)\/c*c)*c assuming c is positive.\nAnswer: c**(579\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -53\/12*t**4 - 11*t + 2 + 0*t**2 + 1\/6*t**3. Let i(s) = s**2. Give j(i(g)).\nAnswer: -53*g**4 + g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*l**2*n**2 + 4*g*l*n**3 - 501*g*n**2 - l**2*n**3 - 2*l**2*n + 3*l*n**3 wrt n.\nAnswer: 24*g*l - 6*l**2 + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 37671732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**2 + 126*f + 552 = 0. What is f?\nAnswer: -4, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*u + 149*u - 520*u + 192*u**2 + 123*u + 127*u.\nAnswer: 192*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - s. Let u(g) = 19*g**3 - 19*g**2 + 19*g. Suppose -4*a = -4*f - 12, -7*a - 131 = -f - 158. Determine f*u(q) + 19*d(q).\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 3, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 1:14 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 90618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2) - -6*(-6)\/40?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465423?\nAnswer: 3, 7, 37, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/9 - 70*u**3\/9 + 310*u**2\/9 - 10*u - 52 = 0. What is u?\nAnswer: -39, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 2:32 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 + 0 + (0 - 1). Suppose -i = 3*i - n. Find the first derivative of -2 - 1 - i*s**4 - s**4 wrt s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -167*y + 166*y + 24. Let b be (y\/(-14) + 2)\/((-3)\/(-105)). Solve -9*h = -7*h - b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 67\/7085?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -88 = -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 94*a - 1796. Calculate f(19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*d**3*t**3 - 2*d**3*t + 2*d + 20*t**3 wrt d.\nAnswer: -102*d*t**3 - 12*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d = -14*d + 1827. Suppose o + 195 + 8 = -x, -5*x - 3*o - 1015 = 0. Is x at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3581 * -1.\nAnswer: -3581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -60566c (base 14) in base 9?\nAnswer: -6081081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/900)\/(6\/(-10)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 15831361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**3 + 27*z**3 - 20*z**3 + 32*z**3 + z**3 + 28*z**3.\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:32 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12390, -49796, -112138, -199416?\n\"Answer: -12468*y**2 - 2*y + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7004 (base 9) to base 16\nAnswer: -13f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14402 - 7871. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50070*g**2 - 52357*g**2 + 98915*g**2.\nAnswer: -3512*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*c**3 + 9 - 9 + (4 - 3 + 0)*(-109 + 109 - 32*c**3).\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzfifffu. Give prob of picking 1 i, 1 u, 1 f, and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/((i\/(i\/(i\/(i\/i**(-1\/21)))))\/i)))*i)**(-5\/8) assuming i is positive.\nAnswer: i**(-40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14692885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198665809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o**2 - 1. Let m be p(3). Let r = -153 - -245. Let s = r + m. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**2 + 2*t - 196. Let s(p) = -3*p + 7. Let o(c) = 5*b(c) - 3*s(c). Give o(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 13) in base 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1216.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 - -57 - (2 + -1 - (6 - (-72)\/(-8))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 2) + -20 + (4 - -85) + -2\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 1406772 = -9*u + 39*u. What are the prime factors of u?\nAnswer: 2, 3, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 1, p: 1}. Give prob of sequence so.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = 61102 - 12533. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 33*u**2 + 2*u + 3. Let p be m(-3). Suppose -3*g = -0*g - p. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 207\/2*t**2 + 216*t + 21*t**3 + 3\/2*t**4 + 162.\nAnswer: 3*(t + 2)*(t + 3)**2*(t + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 - (-38 - -42) - (-8 + -2 + (-2 - 0))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-26334)\/(-130032)) + -54.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 0*a - 28 - 19*a**2 + 88\/3*a**3. Find the second derivative of h(m) wrt m.\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 - 228*d**3 - 666*d**2 - 660*d - 219.\nAnswer: -3*(d + 1)**3*(d + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 = -5*x, 2*f + 1 = 3*f - 4*x. Let p(s) = -4*s - 1. Determine p(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/11, -3\/110, -2\/13, -0.5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 768410442 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/2*(-52)\/(-104). Solve f = 12*x - 11*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 1121033?\nAnswer: 1121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -847 - -316. Let q be (-616)\/(1*2) + 0. Let v = q - d. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d**3 - d**2 + d - 1. Let r be q(2). Solve 0 = -4*w - 5*h + r, -h - 2*h = w - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 641033635485 and -167.\nAnswer: 641033635318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*s + 236*s + 160*s - 53418 = 0. Calculate the least common multiple of s and 1740.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h. Let w(m) = 928901239*m. What is x(w(n))?\nAnswer: -1857802478*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2764031 or -13820151\/5?\nAnswer: -2764031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*b - 10 + 10.\nAnswer: -353*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -33, -2783.\nAnswer: -2783, -33, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353729 is divided by 130.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 223, 1, -3, -4, 640285 in descending order.\nAnswer: 640285, 223, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 8*t + 1343*t**2 + 303*t**2.\nAnswer: 1646*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100110 (base 2) in base 6?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16184 and 312.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 4\/((-160)\/19)) + (-42)\/(-105).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*6\/((-3)\/3). Let y be (-4)\/6*g\/4. Suppose -85 = 2*b - y*b - s, 5*b = 4*s + 110. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0.5, -2\/3, 3, -53.9.\nAnswer: -53.9, -1, -2\/3, 0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 60 = -4*b, -499*b + 503*b + 3*c + 40 = 0 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/((-990)\/12)*-5*1. Which is greater: q or -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11680098 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: Simplify (a\/a**(-1\/4))**(-20)\/((((a*a**(-2)*a*a*a)\/a)\/a)\/a)**46 assuming a is positive.\nAnswer: a**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 231763343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12595 and 225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 23. Let z be 52\/65*(l - -26). Calculate the highest common divisor of z and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1331 + 12023010133?\nAnswer: 12023012130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 - 7*d + 2. Is p(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111710 or -111711?\nAnswer: -111711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16*(-10)\/(-896960))\/((-2)\/4). Which is smaller: f or 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/24389, -0.08, 0.3?\nAnswer: 5\/24389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 197?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300\/144*((-4)\/(-6))\/(9\/(-18)) - -7.\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**4\/24 + t**3\/6 - t**2. Let a(q) = -12*q + 4. Let p(o) = 11*o - 4. Let h(n) = 6*a(n) + 7*p(n). Calculate h(m) + 6*z(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 692.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*-2*sqrt(252)*-2)**2 - (-5 + (-4*sqrt(63)*-2)\/sqrt(9))**2).\nAnswer: 80*sqrt(7) + 15656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19249?\nAnswer: 19249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*h - h, 4*g - h = 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 - 332*s - 60207\/4.\nAnswer: -(s + 47)*(s + 1281)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 276585 by -1.\nAnswer: -276585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/19056 and -63\/20.\nAnswer: 95280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/4745 + -4151883\/9490. Let f = -449 - x. What is the common denominator of f and -31\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 16681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 641973 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a factor of 29033305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*t - 5. Suppose -5*u - 4*v + t = 0, -u - 2*u + 3*v + 30 = 0. Let d(y) = 0*y - 6*y - y**3 - 3*y + 6*y**2 + 2*y + 7. Give d(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2350357 to 3 dps.\nAnswer: 0.235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 8:35 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5 - c - 6 - 1. List the prime factors of w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142.00232 + 142. Round r to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3126 - -3125.6. Let x = -2.2 - -2. Put c, x, -3, 0.4 in descending order.\nAnswer: 0.4, x, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/196*(-21)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 202899911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -106*g + 44. Let s be h(-1). Which is greater: 148 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/8 - 5*y**4\/8 + 7*y**3\/8 - 3*y**2\/8.\nAnswer: y**2*(y - 3)*(y - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58353687?\nAnswer: 3, 7, 31, 29879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p + 2*p + 945. Let a = p + 72. Calculate the lowest common multiple of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -0.41, -0.79, -4?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*i - 30 = -10, 5*q - 27 = -2*i. Let c(w) = -2*w + 7. Let r be c(q). Is (-4)\/(-2) + 38 + r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 859 and 7.\nAnswer: 6013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1198 (base 11) to base 7.\nAnswer: 4355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58*h**3*q**3*w + 4011*h**3*q**3 - 14*h**3*w wrt w?\nAnswer: -58*h**3*q**3 - 14*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016807 to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267022572 is divided by 3915?\nAnswer: 3912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -14\/3, 12, -3, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 314\/(-9) + 19\/(-171). Let f = q + 38. Solve -3*d = -f*r - 9, 4*d = -d - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-8))\/((5\/(-40))\/(-1)). Suppose -2*c - s = -18. Calculate the remainder when c is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**2\/2 + 4*z - 8. What is m(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19609, 20563, 21517, 22471?\n\"Answer: 954*u + 18655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -13*x**3 - 49*x - 125. What is the derivative of g(h) wrt h?\nAnswer: -78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h - 20. Let x be f(-6). Suppose 8*u + 5*q = 13*u - 170015, x*q + 12 = 0. What is u rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + (sqrt(57)\/sqrt(3) + 1 - sqrt(19))))**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46.1 + -43.1. Sort n, 24, -0.4 in ascending order.\nAnswer: -0.4, n, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23317?\nAnswer: 7, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + p - 25 = -10, 0 = j + 2*p - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1409999 and -7049996\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((5*-2*sqrt(171) - sqrt(171)) + sqrt(171) + sqrt(171) + 6*2*sqrt(171))*5)\/(3*sqrt(1296)*3))**2.\nAnswer: 475\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49007182571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 116 - 50. Suppose c = 3*c - g. Suppose 0 = -h - 8 + c. What is the remainder when h is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 10 = 5*z, -t - 10 = -3*z - 2*z. Suppose t*b = -5*b - 30. Let i(n) = n**3 + 7*n**2 + 4*n - 4. Calculate i(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-3)*18\/(-105)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/11)\/i*i)**(4\/7)*(i**(-7))**(2\/151) assuming i is positive.\nAnswer: i**(-2890\/11627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millennium in decades?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5 + 761*k**4 + 143635*k**3 - 435481*k**2 + 437008*k - 145924.\nAnswer: (k - 1)**3*(k + 382)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 4*g + 7. Let b be r(5). Suppose 5*x = 5*f - 100, 3*x + 4*f + 65 = -b. What is the units digit of x\/(-15) - (-8)\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioii when four letters picked without replacement from {i: 3, a: 3, o: 4, y: 3}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1637.48 and -615781.\nAnswer: -617418.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*s - 476*s + 101*s + 211*s.\nAnswer: -71*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 6*y**2 + y - 7. Let l be c(-5). Let i(q) = -11*q - 13. Let p(r) = 5*r + 6. Let x(o) = l*p(o) + 6*i(o). Let z(t) = t**2. Give z(x(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 5, 0, -363?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h - 2. Suppose -2*m = m - 5*j - 253, -2*m = 5*j - 177. What is the remainder when m is divided by g(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 2:19 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*d = 5, -2*j + 0*j - 5*d = -19. Let c be 103*4\/(-20)*-5. Suppose -j*u + c = 1. Calculate the remainder when u is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a**3 + 5*a + 64. Let h(f) = 5*f**3 + 5*f + 63. Suppose 6*t + 5*t = 66. Let v(n) = t*h(n) - 5*s(n). Find the first derivative of v(m) wrt m.\nAnswer: 15*m**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + 3*i**2 + 12*i**2 - 18*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.80478307 to 3 decimal places.\nAnswer: -2.805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.7759 to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-15)*-1*(-252)\/(-126)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d*r**2*v + 123201*d + 398*r**2*v + 12*r**2 wrt d?\nAnswer: 3*r**2*v + 123201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -395 - -393. Let y be (-8)\/14*(-14)\/4. Put -5, q, y, -17 in increasing order.\nAnswer: -17, -5, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -51, -59\/2, 2\/13, -7, -1, 5, 3\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 162, -1\/5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82720 by -8.\nAnswer: -10340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1362289789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**5 + v**4 - v**2 - v. Let f(r) = -8*r**5 + 3*r**4 - 3*r**2 - 10*r. Let t(j) = f(j) - 3*x(j). What is the second derivative of t(w) wrt w?\nAnswer: -100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*30\/(-3780) - (1 + 8\/9).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(5*sqrt(2176) + sqrt(2176) + sqrt(2176) + sqrt(2176)) + sqrt(2176))\/(sqrt(4)\/sqrt(32) + sqrt(450)\/sqrt(9)).\nAnswer: 4 + 352*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -24*h + 13*h + 13*h. Let g(x) = 1. Let p = -32 + 31. Calculate p*g(b) - l(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p + 54*p - 56 = 0. Solve p*y = 49 - 65 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -17*o. Let z(i) = 32*i + 28*i - 58*i. Calculate p(z(h)).\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {t: 2, o: 1, f: 6, v: 2}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9644\/119 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9308, -9431, -9554, -9677, -9800?\n\"Answer: -123*j - 9185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8969036 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -30*i**2 - 3*i - 1. What is f(-1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-42) + (-64)\/77. Suppose 1 + 1 = -2*x. Are x and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*3*28\/(-12). Let k be 3 - (d\/5 + (-26)\/(-65)). Solve 5*g - 22 = -q - 0*q, 12 = -k*q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 10*f - 5*f + 19, -u - 9 = 3*f. Sort 2, 5, u, -163.\nAnswer: -163, u, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -2*u**5\/15 - 9*u**4 - 520*u**3\/3 - 1352*u**2\/3 - 517. Find j, given that s(j) = 0.\nAnswer: -26, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177633, -355261, -532885, -710505?\nAnswer: -888121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3444?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(0*k**2 + 7*k**2 + 4*k**2).\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1033\/112713?\nAnswer: -1033\/112713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(104)\/(sqrt(8) - (sqrt(8) + (sqrt(8) - sqrt(72)))) - (sqrt(13) - (sqrt(13) + 1))*6)*6)**2.\nAnswer: 216*sqrt(13) + 1413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4399277 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.105386868 less than -39972?\nAnswer: -39972.105386868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4 - 72*j + 145*j - j**2 - 67*j. Give m(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 2*n - 2*n**2)*((-3 + 3 + 5*n)*(-1 - 3 - 1) + 2*n - 10*n - 10*n) as u*n**3 + v + l*n**2 + g*n and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -264 - -125?\nAnswer: -13e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - a = -1, 14*o - 16*o + 1 = -5*a. What is the biggest value in -5\/3, 14, o, 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9119398879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 > -29094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 5*f + 2. Let a = 15 + -10. Let s be r(a). Let t = -2 + s. Solve 5*j + 13 = -y + 41, t = 3*j + 2*y - 21 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = q + 25, q - 3*b - 115 = 6*q. Let c(k) = -k**3 - 19*k**2 + 12*k + 31. Let u be c(q). What are the prime factors of (-2)\/((-14)\/u) - (-16)\/(-56)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44*-3*(-7105)\/(-12180).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d**15\/d)*d\/((d\/((d*d**24*d)\/d))\/d)*d)**(1\/21))**(1\/79) assuming d is positive.\nAnswer: d**(5\/553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 1622154?\nAnswer: 16221540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(-4*(-4)\/(-144))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30082 divided by 13.\nAnswer: 2314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 179760011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 4b?\nAnswer: -4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 11*i**2 + 10*i. Suppose x = 9*x - 80. What is q(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*v = 11, 4*t + 3*v = -11 + 28 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(-61 + 61 - 5*f**2)*(0*f**2 + f**2 + f**2) + (-2*f**4 + 2*f**3 - 2*f**3)*(1 + 2 - 1).\nAnswer: -14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-33) + (-11)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 2. Let m be s(-1). Suppose -2*r - 13802 = 15442. Is (0 - 1)\/((-6)\/r*m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09607 + 2.62423. What is l rounded to one dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*t**2 - 13*t - 178*t**2 + 2*t**3 + 4*t**3 + 73*t**2 in the form m*t + s*t**3 + v*t**2 + w and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 + 465608743\nAnswer: 465608743.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 730126200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 20042187.\nAnswer: -1\/6680729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*d. Suppose -4*y + 3*i = 27, -11 = -3*y - 4*i - d. Let m be (-1 - -2)*-3 - -2. Sort m, y, -5 in descending order.\nAnswer: m, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + t + 14 = -3*b, -3*t = -6. Calculate the highest common divisor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 71 - 79 = -5*s, -2*y - 38 = -s. Suppose -w + 0*t = 3*t - 16, -s = -w + t. Does w = 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 768908234?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 8, 3, -1\/30.\nAnswer: -1\/30, 3, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*o - 28 = 9*a, 0 = 3*o + 4*o - 6*o + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2309.99989082 + 2310. What is z rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 5) + 3 - (-15 + 14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 15. Let l(w) = 2*w - 4. Let z be l(2). Let q be n(z). Suppose -m + q = -4*x + 4*m, 3*x = m - 3. Solve x = -2*y - y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0 (c) 0.08 (d) 3 (e) 2\/389 (f) 129\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*s - 521 = 0, s - 2*s - 348 = -2*h. Does 35 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) - 1\/(-5). Let q = -10 - -9.78. Let l = 4.78 - q. Which is the closest to 0? (a) n (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063538 is divided by 1447.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 - -42. Let u be 46\/((v - -1) + 3). Let y = u - 6. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -20*i - 174. Let q be f(-18). Suppose 183 = -y + q. Which is the nearest to -0.003? (a) -4 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -354.2739?\nAnswer: -353.9739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 9. Let x = n - -8. Let g = -33 + x. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssiiippi. What is prob of picking 3 s?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16553 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 799419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6688 - -13338?\nAnswer: 5540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 28 - (-30 + 96 + -43).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypcaiyypycacpcx. What is prob of picking 1 a and 2 c?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/9*3*-3. Suppose -5*u = -a*u - 18. Solve -4*z = -u + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4216\/(-186))\/17*(-234)\/4.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-4))\/(1\/3). What is the first derivative of -3*x - 7*x**2 + 4 + r*x + 3*x**2 wrt x?\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26936925 and -1.905481?\nAnswer: 26936923.094519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - 1687\/77 - 9?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 3082023?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 1223 = 1151 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.096 + -4.966. Let h = 0.13 - j. Let w = h + -4.9999985. What is w rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from {b: 5, w: 1, k: 1, n: 2, g: 3, r: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d + 119013 + 2130013 = -562654. What are the prime factors of d?\nAnswer: 2, 17573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2483 - 4330821?\nAnswer: -4328338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 152 = 4*w, 3*w - v + 101 = 3*v. What is the units digit of (0 - -5)\/(-3 - 120\/w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -51.46. Let i = v + -0.76. What is the second smallest value in i, -0.5, -4, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from ckkoc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -16*q - 20. What is o(-6)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -967*p. Let m be x(-2). Suppose 638 = h - 2*u, -6*h + 3*h - 4*u + m = 0. Is 23 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120382 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*g + 798, -7*g + 5*g - q = -814. What is g rounded to the nearest ten?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*q - 24 = 0, 2*f + 2*f = -4*q + 56. Let a(l) = -2*l + 8. Calculate a(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*h - 0*d + 4*d, 2*h = 5*d + 1. Suppose -4*x + 165 = -h*x - 2*w, 20 = -5*w. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.17, -186629, 2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -240 - -387. Calculate the remainder when l is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvvpvppp. What is prob of sequence ppv?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4436873 to the power of 1\/2, to the nearest integer?\nAnswer: 2106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*p + 240, -2*p + 33 + 30 = v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1508150 is divided by 23200?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 1 - 3. Is d less than or equal to -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -278.3 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2272 - -2269. Which is the closest to -1? (a) -1\/37 (b) 5 (c) h (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -452.0165 from 5.\nAnswer: 457.0165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 20*a - 15. Give h(-18).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(7*y - 3*y + 0*y) - 3 + 3 + 2*y)*(-2 + 2 + 1).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0171 - -0.0347. What is w rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.081\nAnswer: 0.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000122462451 to 7 decimal places.\nAnswer: 0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116 - -168. Is j a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9 - (-19)\/(-3). Let t = h + 13. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*v + 2*f - 20, -f = -5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4837 divided by 7?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57*s**3 - 166 with respect to s.\nAnswer: 171*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2591, 5156, 7687, 10166, 12575, 14896, 17111?\nAnswer: 19202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 h when three letters picked without replacement from {w: 9, h: 5}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**4 + 2*w + 5*w**4 - w + 0 + w**2 - 2 as f*w + a*w**2 + g*w**4 + k*w**3 + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10761*v**3 + 7452*v - 162735287 wrt v.\nAnswer: 32283*v**2 + 7452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80973 + 86516 = 2627*r + 27109 - 174860 for r.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/3 + 5*g**3\/3 + 2*g**2\/3 - 20*g\/3 - 8.\nAnswer: (g - 2)*(g + 2)**2*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - 4. Let b = 14 + t. Suppose 33 - 163 = -5*q + b*a, -8 = -4*a. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34093083.\nAnswer: 3, 61, 186301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 61852 = 5*a - 18153, -4*s + 64002 = 2*a. Round s to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 divided by 3?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 168744 = -33*r + 693020. Is r a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 544880605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -1081\/5 (c) -0.2 (d) 0.4 (e) 1037\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-2\/53)\/(w\/(w\/(w**(1\/2)*w))*w\/(w\/(w\/((w*w**(-3\/5)\/w)\/w))))*(((w**(-3\/2)*w)\/w)**(28\/9))**4 assuming w is positive.\nAnswer: w**(-683\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 8*k + 70. Solve 15*w - 19*w - k = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + 2.7. Let y = 20 - 16. Which is the third smallest value? (a) j (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(1 + 3\/(-1)). Is ((-514)\/l)\/(1\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 - ((-790)\/70 + 11). What is the closest to a in 0, -1\/2, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-88)\/(-32) + 2\/8. Solve n*o + 7 = -5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -262586 (c) 5 (d) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 8121*j - 8126*j - 4*m, 5*m + 37 = -2*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r - 2 + 0 + 0)*(629*r - 163*r + 1145*r).\nAnswer: -9666*r**2 - 3222*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -983 - -976. Let p(f) = -6*f + 8. Let o(s) = 5*s - 7. What is w*o(i) - 6*p(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(95)*1 + sqrt(95) + sqrt(95) - sqrt(95))\/sqrt(5)*5 + 4 + -2)*2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a hour in minutes?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 56.\nAnswer: 23\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309256, 309262, 309268, 309274, 309280, 309286?\nAnswer: 309292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23744087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77) + 5*(sqrt(77) - (sqrt(77) - sqrt(77)*3 - sqrt(77))))*4*1)\/(2*(sqrt(275) + (sqrt(275) - (sqrt(275) + 2*sqrt(275)*1)))).\nAnswer: -44*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/6 - 7*n**2\/6 - 9*n - 12.\nAnswer: (n - 12)*(n + 2)*(n + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 470474 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212625*w**2 - 581688*w**2 - 508272*w**2.\nAnswer: -877335*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31.87107 milligrams?\nAnswer: 31871.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10.8, -0.4, 1222?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57\/5 of a century?\nAnswer: 13680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 384 = m. Let h = -29 + m. Let t = 11 - h. What is the remainder when 38 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, 2.65, 1.8?\nAnswer: 2.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 17*n**2 - 17*n - 23. Let k(h) = h**3 + 25*h**2 - 2*h - 22. Let d be k(-25). Suppose -d = 7*l + 84. Let o be i(l). Which is greater: -4 or o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/16584 and -113\/563856?\nAnswer: 563856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 16*d - 468 = 0. What is the hundreds digit of (4\/2)\/(d\/(-8918))*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m + 10. Let t(u) = 2*u**3 + u**2 - 4*u. Let q be t(m). Let k = -120 - q. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivfiivfvvvvffiv. Give prob of sequence vfif.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 + s + 339. Let k(l) = 9*l**2 + 3*l + 1071. Give -2*k(i) + 7*u(i).\nAnswer: 3*i**2 + i + 231","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 3 (c) -43 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-27) - 4*(-2)\/(-24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2, 5*x = -18*u + 13*u + 15030. Is 42 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1709 and 13\/312 - 1073\/120.\nAnswer: 17090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/61)*z)\/(z*z**(-2)*z*z) assuming z is positive.\nAnswer: z**(63\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + c - 94, -2*o - 2*c + 62 = o. Suppose o = -0*k + 3*k. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2 + 23641*q + 307164 = 0. What is q?\nAnswer: -23628, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14328)\/1990)\/((-48)\/15)*1\/15?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k + 1. Let a be 34 - (9 + (3 - 5)). Let j(r) = -a*r + r + 15*r + 6*r + 2. Give -4*f(y) + 3*j(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -169534.2366035 plus -0.4?\nAnswer: -169534.6366035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 17994700 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -37. What are the prime factors of ((-53)\/o)\/(1\/2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.067049 from -18956618.3.\nAnswer: -18956618.232951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 4*o + 210 = 24*q, o + 492 = 5*q. What is the smallest common multiple of 99 and q?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 7) in base 6?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 3. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+-0.04254250422\nAnswer: 1.95745749578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 7 + 0 - 7 - 7*m.\nAnswer: 2*m**2 - 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -36*f + 11 + 10 + 30*f. Let h(y) = -5*y + 16. Let o(a) = -4*h(a) + 3*r(a). Give o(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1861 = 15*n + 106. Calculate the remainder when n is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 18 = -u, -2*u + 2*z + 0 = -4. Put 46, -1, u, 1 in increasing order.\nAnswer: u, -1, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1)\/(-24*(-91)\/468)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -8. Suppose -21 = 5*f + l, 3*q - 5*f - 34 = 0. Let p(k) = -6*k + 1. Let h(i) = -i + 1. What is q*h(n) - p(n)?\nAnswer: 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (-33)\/(-6))*8\/14. Suppose d + 1 = -0. Let k be -1 - d*(3 + -1). Sort 3, k, r in descending order.\nAnswer: 3, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27 and -323.\nAnswer: 8721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-30))\/((-20)\/150 - (-10)\/(-25)). Which is the third biggest value? (a) 5\/2 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -86619170 to the nearest 100000.\nAnswer: -86600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 2102?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796348 is divided by 41912?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/51, 2\/15, -3, 2\/21, 0.06, -4\/3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12730297 + 61.43720703. Let s = i + -61.61. Let q = 0.045 + s. Round q to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 111 = 0, -5*w - 48 = 9*w - 0*s + s + 2*s - 145 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -233*d**3 + 19*d**2 - 5*d - 11. Let w(i) = -133*i**3 + 10*i**2 - 3*i - 6. Let x(p) = -4*a(p) + 7*w(p). Let h be 6\/(-5)*(-3 + -2). Give x(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 325?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 18*r**2 + 6. Let x be o(18). Suppose 10*q - x*q = 2740. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1141664 (base 7) to base 16.\nAnswer: 23567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 900515040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/4 and 1\/(-2)*485\/(-55)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -72*f**3 - 2*f**2 - 21*f**2 + 31 + 21*f + 73*f**3. Let p be m(22). Solve k + 2*k + p = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1947 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 5143*f + 46.\nAnswer: -5143*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 6*a - 3*a**2 + 4*a**2 - 1 in the form p + d*a + b*a**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + c0?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/780*(2 + -10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03603527 - -2.88369573. Let q = r - 2.92. Round q to five decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**5\/7 + 36*b**4\/7 - 3*b**3 - 234*b**2\/7 + 216*b\/7 = 0.\nAnswer: -12, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65223?\nAnswer: 3, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -52*j - 1. Is i(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*r - 8. Let b = -0.05 + -15.95. Let z = 15.7 + b. What is the nearest to 2\/3 in r, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1355 + 1279. Which is bigger: p or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r**3 - 6*r**2 + 6. Let b(w) = 105*w**3 + 91*w**2 - 91. What is -6*b(q) - 91*u(q)?\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -2.0546\nAnswer: -0.82184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -112*g + 107. What is the hundreds digit of p(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + (-324)\/52)\/(53 - 51)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**2 - o + 7. Let w be m(9). Let u = 314 - w. Let x(c) = -c**2 - 9*c - 6. Determine x(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 4801?\nAnswer: 4788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 7 = 4*g + 9, 0 = -4*m - 3*g - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*x**2 + 151*x**2 - 105*x**2.\nAnswer: -54*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 - 29*r - 167. Let l(t) = t**2 - 2*t - 20. Let b(f) = 5*l(f) - w(f). What is b(-13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1516593 or -2?\nAnswer: -0.1516593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a**2 + 7*a**2 - 6*a**2)*((-4*a + 2*a + a)*(-2 + 3 - 3) - 255*a + 8*a + 25*a).\nAnswer: -2420*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**7\/360 + i**5\/5 - 5*i**4\/6 - 16*i. Let f(g) be the third derivative of a(g). Differentiate f(z) with respect to z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - (0 + -1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 14 + 5)*(3*x**3 + 0*x**3 - 4*x**3) + 9 + 4*x**3 - 9 in the form i*x + u*x**2 + s + z*x**3 and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 2*t + 1. Let s = 40 - 31. Let k(j) = -6*j**2 + 5*j + 2. Let h(b) = s*a(b) - 4*k(b). Calculate h(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 769 + 3*d + 79*d + 445 - 149 wrt d.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1704 + 2969. List the prime factors of k.\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*z + 3*j - 96, 2*j = -2*z + 50. Solve 0 = -22*h + z*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -3497.\nAnswer: -3\/3497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 414, 417, 414, 399, 366, 309, 222, 99?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 5. Let a(w) = -2. Let h(y) = 8*a(y) + 3*x(y). Let o be h(1). Is (-28)\/(-7)*6\/o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 6 + 4)*(1328*z + 2179*z + 712*z + 1347*z + 4000*z) in the form x*z + h and give x.\nAnswer: 47830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 213972503, 213972505, 213972507, 213972509, 213972511?\n\"Answer: 2*h + 213972501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8575\/(-2450))\/(63\/(-96)).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*k - 353 = 0, 360 = 5*u - 5*k - 75. Suppose 135 = 4*p - 3*w, 4*p = w + u + 41. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1855*c**3*o**3 + 989*c**3*o**2 + 146161*c**3*o + 3975*c**2*o**4 wrt o.\nAnswer: 11130*c**3 + 95400*c**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-1 - -1) - (-2377 + 2385)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(364)\/(1*sqrt(567) + sqrt(567)))\/(sqrt(32)\/(sqrt(64)\/sqrt(8)) + sqrt(4) - (sqrt(4) - -3*sqrt(12)\/sqrt(3) - sqrt(4))).\nAnswer: 2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 255?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7 = 3, 0 = 4*r + 3*i + 26. Let y = r - -3. Let c be 11 + -8 + (10 - 18). Is c greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*d = -46, 6 + 28 = 2*r + d. Let a = 38 - r. Solve -3*k + 3*p = -30, 5*p + a - 4 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 101119 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -44604?\nAnswer: -89208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1308*i - 24. Let x(p) = -2*p**2 + 22*p + 4. Let f be x(11). Let w = -1 + f. Let l be n(w). What is l rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72960807 is divided by 236.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2647 + 2646.99. Which is the second smallest value? (a) r (b) 2\/9 (c) -306\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*q - 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, q: 5, w: 4, e: 1}. Give prob of picking 1 e and 2 q.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 102056611099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24555 = -2734*d + 51997 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1047200*n**3 - 314201*n**2 - 2*n wrt n?\nAnswer: -6283200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137485 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 2\/7 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/5)\/(x*x**(1\/3)*x)*((x\/(x**(-2\/3)\/x))\/x)\/x**5)\/(x**6\/(x\/(x**2*x)))**34 assuming x is positive.\nAnswer: x**(-4162\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Let c(w) = -w**3 + w**2 - w. Let h be c(2). Let l(q) = -2*q - 8. Let n be l(h). Let g(d) = 5*d**2 - n*d**2 - 2*d**2. Calculate b(g(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -14 (b) 2 (c) 0.3 (d) 0.6 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 100 - 49. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l + 4*l - 5*l)*(217 - 145 + 355).\nAnswer: 4270*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/(-14) - 26\/(-4). Suppose -u*m = -4*m - 8. Solve -20 = 3*g + 4*c, -5*c = 2*g + m + 17 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 469*l**4 - 4*l**2 - 2.\nAnswer: 11256*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (322\/(-49))\/(6*(-2)\/42)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 13 = -4*w, 3*x - 1 = 4*w - 16. What is the third derivative of -5*k**4 - 44*k**3 + 44*k**w - 8*k**2 wrt k?\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (411*d**2 + 421*d**2 - 587*d**2)*(295*d - 295*d - 12*d**2).\nAnswer: -2940*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -512, -1037, -1588, -2177, -2816, -3517, -4292?\nAnswer: -5153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10453 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + s - 8. Let k be m(0). Let l be (16\/(-3))\/(k\/12). Calculate the greatest common factor of 72 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3638 at least -3638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 - 109\/1148. Let f = q - 1\/82. Suppose 4*d + 6 = j + 2, d + 1 = 2*j. Do j and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2333807 divided by -1\nAnswer: 2333807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4406 divided by -122.\nAnswer: -2203\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*t = 2*u - 91*t + 18, -3*u = -5*t - 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -45040838 and -59197.\nAnswer: -45100035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5767 + 5775. Let g = 1 - 2. Let q be 21\/52 + 3\/(-12). Which is the biggest value? (a) g (b) q (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49\/8937 + -167445053\/259173. Let y = -2857 - -3503. Let w = s + y. Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1123 + 11310?\nAnswer: 10132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 21 = 2*s, 0*g + 18 = 3*g + 3*s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/7)*f*(f\/(f**2*f*f))\/f*(f**1)**(-3\/20)*(f\/(f*(f\/(f\/(f*f**(-1\/4))))\/f))**(-40)\/(f**0*f*f**(2\/25)) assuming f is positive.\nAnswer: f**(-9761\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19139356?\nAnswer: 2, 4784839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21323101 to the nearest integer?\nAnswer: 4618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6756568\/546)\/((-8)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.2 - 5. Let p = t - 0.7. Which is the biggest value? (a) 2 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**6\/80 + 5*l**4\/12 - 11*l. Let z(a) be the third derivative of c(a). Determine z(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0.2, 5\/3, 2, 62 in ascending order.\nAnswer: -8, 0.2, 5\/3, 2, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*y + 38*y + 30 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -454957 divided by 22.\nAnswer: -454957\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23 + 8 + 2\/(-2). Calculate the greatest common divisor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1158 = 265*v + 12*v - 3274 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 0 - -1 - (11 + 6 + -6) - -58\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 60, 118, 176, 234, 292, 350?\n\"Answer: 58*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3539.7 - 0.408946.\nAnswer: -3540.108946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 13*t - 257. Determine b(-11).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 1098 + -1091. Suppose -2*n - 77 + 25 = -4*l, -2*l + 4*n + 38 = 0. Let y(s) = -a*s + 11 - s - l. Let h(d) = -2*d. Calculate y(h(m)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 10 = -3*x, 5*z - 5*x + 17 = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtt when three letters picked without replacement from vtttttttttttt?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, 826, -385 in ascending order.\nAnswer: -385, -3, 4, 5, 826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 95947.46t?\nAnswer: 95947460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -393888\/13 or -30298?\nAnswer: -393888\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36757\/1662 + -14\/277. Calculate the common denominator of m and 50\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 5:07 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -190273.\nAnswer: 35\/190273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212687383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 - 1240045?\nAnswer: -1240113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from {i: 11, d: 2}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250343721.\nAnswer: 3, 43, 646883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43792513 is divided by 14597502.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 442, 1269, 2606, 4465, 6858?\n\"Answer: 2*f**3 + 243*f**2 + 84*f + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-1)\/(-5))\/(93960\/11600)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*g - 16*g - 783 = -26*g + 1442 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.92692715 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-43 - -14)) + -36.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -2. Let h = a - -47. Suppose 4*u + q - 197 = -h, 78 = 2*u - 5*q. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1094 = -2*c - 2*h + 5*h, 4*c - 2180 = 4*h. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 278943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + -0.3. Let w = -1904.8 + 1905. What is the third biggest value in -5, w, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2 + (6 - 2 + 1)*(3 - 2 + 0))*(3 - r - 10*r + 7*r) to h + l*r and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 801*j**3 - 2*j**2 - 302 wrt j?\nAnswer: 4806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*g + 6, 6*g - 17 = -2*d + 5*g. Let k(o) be the third derivative of 0*o**3 - 1\/40*o**6 + 0 + 0*o**4 + 0*o - 1\/20*o**5 + d*o**2. Factor k(f).\nAnswer: -3*f**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.7 or 135?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -5, -0.3, -0.1, 43?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 154501706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 2*c**3\/3 + 16*c - 679. Let v(g) = -19*g**2. Determine v(p(f)).\nAnswer: -76*f**4 - 1216*f**2 - 4864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 12, k: 7}. What is prob of sequence ck?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l**3 - 3*l**3 - 2*l**3)*(-5 - 1 + 5) + (4*l**2 - 2*l**2 - l**2)*(5*l + 10 - 10))*(-8 + 8 - 3*l).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - c + 287 = 0, -l = -5*l - 3*c + 223. Does 23 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307776, -1230990, -2769688, -4923876, -7693560, -11078746, -15079440, -19695648?\nAnswer: -24927376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yymw when four letters picked without replacement from {y: 1, o: 3, i: 3, w: 2, p: 1, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.2448459 months?\nAnswer: 0.000020403825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*y + 31 - 20*y + 9*y)*(-37 - 33 - 28)*(-2 + 2 - 1) in the form f + z*y and give f.\nAnswer: 3038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilogram in grams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 + 0 = -5*q, 2*q + 4*j = 14. Let z = 5.3 - 5. Sort q, 2\/11, z in descending order.\nAnswer: z, 2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.3 (c) 1\/6 (d) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/27712035 and -4\/27.\nAnswer: 83136105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155914626.\nAnswer: 2, 3, 7, 3712253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513365?\nAnswer: 5, 102673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-2*sqrt(864) - sqrt(864) - sqrt(864)) + sqrt(864)))\/(sqrt(192) + sqrt(192) + -1*sqrt(192)*6) + 3.\nAnswer: -9*sqrt(2)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**4\/4 + 4*m**3\/3 + m**2 - 2*m + 2. Let r be i(-3). Which is the biggest value? (a) r (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 6*p**2 + 10*p - 1. What is h(-7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -50)\/(-2)*(-129)\/(-215). Let w = -6 - -6. Suppose 4*c = -6*p + p - 3, 2*c + 4*p + 6 = 0. Solve w*r - j = -c*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w + w + 847308 = 20*w. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 714 + -485. Suppose 3*n - y = 1240, 2*n + n - 1238 = 2*y. Let t = n - f. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4 = 4*b. Suppose 4 = -a - 5*c - 9, 4*a + c - 5 = 0. Solve v - 6*i = -i - a, b = -v - 4*i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**3 - 2210133*c**2 + 203313192*c - 4676057412 = 0.\nAnswer: 46, 736619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 200701.8396 and 1240.\nAnswer: 201941.8396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 15 = -2*u, 5*u - 55 = 107*t - 103*t. Let n(d) = -3*d + 39. Let v be n(12). Solve -u = -v*o - 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1261 times -7?\nAnswer: 0.8827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/8*4\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-759)\/(-385) + (5 - 192\/30).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 80*j**2 + 4*j + 11. Let a(h) = 106*h**2 + 5*h + 10. Let w(o) = -3*a(o) + 4*c(o). Let s(y) = -2*y**2 - y - 15. What is 3*s(i) + 2*w(i)?\nAnswer: -2*i**2 - i - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.12722 - -0.1272198367. Round l to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34427 + 38?\nAnswer: 34465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13223, 52853, 118891, 211337?\n\"Answer: 13204*r**2 + 18*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2178.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Let z = -4.059 - -0.059. Let s be (-10)\/(-14) + 1\/(-1). Put s, f, z in decreasing order.\nAnswer: f, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + 2*g - 6. Let z(x) = 6*x**2 + 7*x - 21. Let u(n) = 7*j(n) - 2*z(n). Let o(s) = -80*s. Determine o(u(a)).\nAnswer: -160*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -374 divided by -225?\nAnswer: 374\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8102 is divided by 4037.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*h**3 + 267*h**3 - 191*h**3.\nAnswer: -329*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 9*v**2 - 12*v - 16. Let r be x(-11). Let b = r - -134. Calculate the highest common factor of 20 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 4, -1, -3.\nAnswer: -118, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -92*i - 598. Calculate the remainder when 48 is divided by g(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -14\/9*s**4 + 4\/9 + 55\/9*s**2 + 28\/9*s + 25\/9*s**3 - 8\/9*s**5 = 0.\nAnswer: -2, -1, -1\/2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-32) + 30\/(-80). What is the closest to 0.2 in -1\/4, 1\/2, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5214960 is divided by 180.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3709 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9, 31, 61, 105, 169, 259?\n\"Answer: l**3 - 2*l**2 + 21*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 5*m + 10*m)*(102*m + 209*m - 217*m)*(-4 + 2 + 0).\nAnswer: -1128*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/13 + 21466*o**4\/13 - 39849714*o**3\/13 + 27011986462*o**2\/13 - 6282499340612*o\/13 + 12457269189696\/13 = 0. Calculate o.\nAnswer: 2, 713, 8592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 39283.32 nanograms?\nAnswer: 0.00003928332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((3*sqrt(304) - sqrt(171)*-2)**2 - (sqrt(19) + sqrt(171) + -3 + sqrt(171) + (sqrt(171)\/(sqrt(441) + sqrt(9) + sqrt(9)))**2)).\nAnswer: -7*sqrt(19) + 499103\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 442 + 153)*(-2*l + 4 - 6 + 4).\nAnswer: 556*l - 556","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31031 + -2?\nAnswer: -31033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*q**2 + 17*q**2 - 17*q**2)*(0*q**2 - 5*q**2 + 3*q**2) - 5*q**4 + 0*q**4 + 4*q**4 + (2*q**4 + q**4 - 5*q**4)*(6 - 4 - 4) + q**4 - q**4 - q**4.\nAnswer: 24*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32902 = 45*f - 33608. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 322*b**5\/5 + b**3\/3 + 41*b**2 - 348. What is the third derivative of l(n) wrt n?\nAnswer: 7728*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31311, -31313, -31315?\nAnswer: -31317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 237131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/2 of a centimeter?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from ymffyyyfymfymyymyfyf?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9768 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1219136 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 9*j + 4. Let o be -3 - 33\/(-12) - 105\/12. Calculate h(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 15*p**3 + 8*p**2 - 294*p + 1443. Is 16 a factor of i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 2. Let l(u) = -6*u - 11. Let w(t) = 11*f(t) - 2*l(t). Suppose 0 = 5*c - 8*c + 24. What is the units digit of w(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + -0.1. What is the closest to 1 in 0.3, v, -2\/15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7116.6 + -7666. What is j rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -5*z - 69, -3*s + 150505 = 2*z + 150537 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 3*n + 5*n**2 + (5*n - 3*n - 3*n)*((-6 + 3 - 3)*(-2*n + 7*n + 0*n) - 3*n - 2*n + 6*n).\nAnswer: 34*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 472800 and 180?\nAnswer: 1418400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55209 + 55212. Let b = 4 - 2. Let o(g) = g + 4 + b - 2. Determine o(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.916 and 0.2.\nAnswer: 0.1832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*f**3 - 45*f**2 + 516*f.\nAnswer: -3*f*(f - 4)*(7*f + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from gagwaaga.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/1 - (4 + -2). Let p(f) be the second derivative of 0 - 9*f + 1\/3*f**4 + 0*f**2 + 1\/20*f**5 + 1\/2*f**x. Factor p(c).\nAnswer: c*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/7*-1)\/(-6*(-19)\/399).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9017.775ml in litres?\nAnswer: 9.017775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 20, 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 5, 2, -1744 in descending order.\nAnswer: 5, 2, 1, -4, -1744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**2 - 2*a + 7. Let p(w) = -11*w**2 + 4*w - 15. Let h(z) = -3*z**2 + 4*z - 2. Let k be h(2). Determine k*p(t) - 13*f(t).\nAnswer: t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/((-2)\/((-168)\/2)). Let b = -29 + c. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/3)*i\/i**(-16\/3) assuming i is positive.\nAnswer: i**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.46 + -26.4598822. What is v rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1394, 1390, 1388, 1388, 1390, 1394, 1400?\n\"Answer: c**2 - 7*c + 1400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-72)*(-1)\/((-7)\/(-6)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*j - 6*j = 142, -j + 80 = 2*v. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 178\/1435949?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 634 and 2300.\nAnswer: 729100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 = -4*u, -4*f = -4*u + 35 - 7. Solve -6 = -u*s - 0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 762 = -16*g + 10*g. Let p = -111 - g. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 437 + -2206\/5. Let z = l + 22\/5. Let f(a) = a**2 - 4*a + 3. Let b be f(3). Are b and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 149\/78 + 49\/39. Find the common denominator of c and 81\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-6)*54\/6. Suppose 20*o - 24*o = f. Let j be (-14)\/(-35) + o\/5. Which is the closest to -2? (a) j (b) 3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/438 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -m - 20, -5*g - 19 - 1 = 4*m. Let t = 8 - 6. Which is the second smallest value? (a) m (b) t (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) -83 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 17 = -3*i + a, -13 = 4*i + 5*a. Let c = 10 + i. Let v be 0*c\/(-6)*1. Let o(g) = g - 11. Determine o(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/7)\/(o*o\/(o*(o**(2\/9)\/o)\/o)*o))**(-45)*(((o**(-1)*o)\/o)\/o)**(-21\/4)*o\/(o**(-2)*o)*o*o**(-1\/3) assuming o is positive.\nAnswer: o**(6613\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 3:50 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 311184 = 2*d - 53721, 3*b - 128748 = d. What is d rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 822449285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1576559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783593.2 millilitres to litres.\nAnswer: 783.5932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6856)\/58276)\/(3\/(-17))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*s + 3*s, -5*b + 4*s = -18. Suppose -f - 3*f + 305 = t, -165 = -b*f - 3*t. Suppose -4*o + f = 43. Solve -4*m - o = 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 435 and 4089.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3193, -3189, -3185, -3181, -3177?\n\"Answer: 4*j - 3197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*k - k + 7 = 0, 0 = -5*t + 4*k + 29. Suppose t*o = -0 + 10. Sort 0, o, 20 in increasing order.\nAnswer: 0, o, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 - 14*g\/3 - 16\/3.\nAnswer: 2*(g - 8)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n + 2*n)*(0 + 0 + 1 + (2 - 2 + 1)*(2 - 2 + 1) + 1 - 1 + 2 + 3 + 1 - 2 + 1 + 0 - 6).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 6. Suppose t + 27 = 3*x + 5*j, 2*x + j - 14 = 0. Let g be 122\/18 + 2\/9. Which is greater: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 159161, 159155, 159149, 159143?\n\"Answer: -6*m + 159167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -23. Let b(v) = -11*v - 3. Let x(p) = 4*p + 3 + 1 - 3. Let z be 1\/(((-4)\/24)\/(-1)). Give l*x(q) + z*b(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29926, 29927, 29928, 29929?\n\"Answer: g + 29925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 57961, 57953, 57947, 57943, 57941, 57941?\n\"Answer: p**2 - 11*p + 57971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2657492\/7 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43853 is divided by 43777?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -129553.743 rounded to the nearest one thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -647 = -2*b + 8067. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**2 - 3 + 3)*(0*n + 0*n - 2*n**2) - 40*n**4 - 25*n**4 + 27*n**4 in the form a*n**3 + q*n + j*n**4 + t + s*n**2 and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*t + 19, -4*t - 5*f + 1 + 6 = 0. What is the common denominator of t\/12 + 10\/42 and (-1623)\/252 + (-12)\/(-14)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**2 - 4*t - 10. Let x = 10 - 13. Is 12 a factor of g(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 6:42 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22617.5 millimeters to nanometers.\nAnswer: 22617500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - 2*m)*(91 - 73 + 35).\nAnswer: -106*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64631 is divided by 202?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -726*l - 1435*l + 133982 for l.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/12)\/(2\/(-6)). Which is bigger: 6\/17 or n?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**4\/4 - 11*r**2\/2 + 3*r. Differentiate n(c) wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118272 by -896.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 - 2*f + 2*f + ((-3*f**2 - f**2 + 3*f**2)*(0 + 2*f + 0) + f**3 - 2 + 2 - 7 + 7 + 5*f**3)*(-3*f + 4*f + f).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 227 - 222. Which is the closest to 0.1? (a) t (b) 3\/5 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-3))\/(6\/(-108)). Let w(o) = -o**2 + 12*o - 4. Let a be w(u). Let t = 6.5 + -6.7. Put t, a, -5 in decreasing order.\nAnswer: t, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.4708 rounded to two decimal places?\nAnswer: -10.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1621*u - 3295. Give j(2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q**2 + 11945*q - 23897*q + 11952*q.\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4699.385 millennia in decades?\nAnswer: 469938.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -13*z**2 - 7. Suppose 0 = -3*p + 5*p - 6. Let v(o) = -o**3 + 2*o**2 + 3*o + 2. Let i be v(p). Let k(q) = -4*q**2 - 2. Calculate i*m(l) - 7*k(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84108 is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8241*n*y**3 - 5*n*y**2 + 3*y**3 - 19192*y**2 wrt y.\nAnswer: -49446*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (72 - 52) + (23 - 12 - 32)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -243*b**3 + 15093*b**2 + 13560*b + 3024 = 0.\nAnswer: -4\/9, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 95*x + 170.\nAnswer: 5*(x + 2)*(x + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(7) + sqrt(63) + -1*sqrt(63)) + -5 + sqrt(7)*1 + sqrt(14)\/sqrt(2) + 5)**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 - -5) - (-17 + 11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 2*m**2 - 6*m - 9. Determine v(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1259*d - 167*d + 100 - 94 to m + n*d and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -f + 92. Let r be ((-2)\/27)\/(3\/(-4788)). Let i = r - f. What is the second smallest value in -1\/4, i, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -297, -1191, -2695, -4815, -7557?\n\"Answer: -o**3 - 299*o**2 + 10*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1570057, 1570032, 1570005, 1569976, 1569945, 1569912?\n\"Answer: -a**2 - 22*a + 1570080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -739853 and -0.411.\nAnswer: 304079.583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.4, 0.3, 1255?\nAnswer: 1255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 49535*p - 6547910.\nAnswer: -5*(p - 9773)*(p - 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4\/(j*j*j**(-3\/13)))\/(j\/j**1)**(-5) assuming j is positive.\nAnswer: j**(29\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-320) + (-43)\/30*1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 10:04 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1432750, 1432719, 1432688, 1432657, 1432626?\nAnswer: 1432595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 15*s**2 + 2*s - 10. Let p be k(-3). Let f = -115 + p. Let n(t) = 12*t**2 + 11*t - 39. Is 13 a factor of n(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -618613, -1237234, -1855871, -2474524, -3093193?\n\"Answer: -8*x**2 - 618597*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -1.4 (c) 3482 (d) -53\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-4)\/(-5))\/(6*(-3)\/(-60))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwizu. Give prob of picking 1 h and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-15))\/((-104)\/39). What is the closest to 155 in w, 7, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-526*r + 100*r - 3*r - 138*r).\nAnswer: -1134*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p - 265. Let i be g(-29). Calculate the remainder when -201*-2*(i + (-27)\/(-6)) is divided by 60.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -17 - 1. Let m(b) = -b**2 + 3 - 1 - 7*b - 3. What is the units digit of m(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -19, 5, 3\/5 in descending order.\nAnswer: 5, 3\/5, -3\/5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2159, -2160, -2161, -2162, -2163, -2164?\nAnswer: -2165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.73037 centuries in years?\nAnswer: 9873.037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a factor of 5225630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/10 of a tonne?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0277917 to five decimal places.\nAnswer: -0.02779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 36 = -3*u. Let i be -4 + (-4)\/(-2) - (-205506)\/u. Round i to the nearest 1000.\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*y + 198*y + 4 = -5*r, 3*y = -51*r - 96 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 235332434 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 1 - -3) + 2 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 308?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -0.05, 9.8?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -75?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -541 - -546. Which is the nearest to -1? (a) -0.5 (b) n (c) 2\/15 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -237856+-2\nAnswer: -237858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - w**2 + 5. Let x be 0*3\/((-6)\/(-1)). Let k be t(x). Let y be 46\/(-11) - (-8)\/44. Put y, -3, k in increasing order.\nAnswer: y, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 7. Suppose -11*o + 180 = -s*o. What is the greatest common divisor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (39 - 35 - (0 + -9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 2176*d**2 - 24468*d + 26640.\nAnswer: 4*(d - 555)*(d - 1)*(d + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u**(-3\/13)*u)\/u))**(-32)\/(u*u\/(u\/(u*(u\/(u*u*u**(-2\/15)))\/u))*u*u\/u**13))**(4\/23) assuming u is positive.\nAnswer: u**(2716\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {s: 6, q: 2, k: 3, c: 1, w: 4}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 5*j - 3690, -3*j + 2198 = 3*l + 2*j. Let n = l - 408. Find the common denominator of n\/45 + (-6)\/15 and 63\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(-3*(-1 + sqrt(1331) + 0 - sqrt(1331) - sqrt(1331)) + 3 + (sqrt(1331) - -1*sqrt(1331)*6))*5)**2.\nAnswer: 8448000*sqrt(11) + 852070400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 13 + 2*n**3 + 5*n**3 - 7)*(-11*n - 21*n - 15*n).\nAnswer: -329*n**4 + 94*n**2 - 282*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = f + 140. Let t = f - -231. Calculate the remainder when 25 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-23)*r)\/r**9*r*r**(-12\/7)*(r\/r**(-3\/8))\/r*r assuming r is positive.\nAnswer: r**(-1643\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 147176951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 15) to base 12\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -229 (b) -4 (c) -173 (d) 32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 17 - 6*c**2 + 4*c**2 - 4*c + 0*c**2 + 3*c**2. What is the tens digit of v(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5073.2677 to the nearest integer.\nAnswer: 5073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from nnnoondldo.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p = 84. What is the greatest common divisor of 63 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2913669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -698 + 163 + 554523*r - 554525*r to t + l*r and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(468) + sqrt(52) - sqrt(52)).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -48*f + 44*f. Solve -f*v = -2*g + 14, 0*v + 6 = 3*v + 3*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 232269479?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -42) + (0 - 0). Suppose -a = -o - 2*o. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9371*r + 108798. Determine s(-12).\nAnswer: -3654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, k: 1, z: 1, i: 2}. What is prob of picking 1 k and 2 r?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7 - 9 - f - 7 - 3*f**3 + 22. Let j(c) = c**3 - c**2 + c. Suppose 0 = -4*h - 5*g + 4, 0 = 7*g - 3*g. Determine h*j(u) + y(u).\nAnswer: -2*u**3 - u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.2. Suppose 0 = 4*o + 4*b - 16, 6*o + 4*o - 4*b - 40 = 0. What is the closest to i in o, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (90*m**2 + 78*m**2 - 186*m**2 + 2*m**2 - 2*m**2 - 7*m**2 + (3*m + 0*m - m)*(-2 + 2 - 3*m))*(-2*m + 4*m - m) as b*m**2 + c + f*m**3 + y*m and give f.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-3)*(1 - -2). Let l be 6\/k + (-2)\/(-8). Suppose 0 = -3*q - l - 2. Put q, -2, -3 in ascending order.\nAnswer: -3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3534258887 rounded to 3 dps?\nAnswer: 0.353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*p**3 - 294*p**2 - 214*p + 72.\nAnswer: -2*(p + 1)*(p + 36)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 42. Suppose p*x - 593 = 1111. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 2, k: 2, w: 3, c: 2, h: 2}. Give prob of picking 1 k and 1 z.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138152 and 1736.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 4\/3 (c) -2 (d) -6.113 (e) -0.9 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 + 463516 - 1022*w - 463514 - 561*w - w**2 to the form r + p*w + u*w**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17172913, 34345834, 51518755, 68691676, 85864597, 103037518?\nAnswer: 120210439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -81. Let s = 38.0134 - t. What is s rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w - w + 2*w + 9*w**2)*(2*w**2 + 0 + 0).\nAnswer: 18*w**4 - 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -8\/7, 0.015, 0.3, 0.5, -8?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -37*h**3 + 12*h - 12. Let w(t) = -2*t**3 - 2*t + 2. Calculate -c(n) - 6*w(n).\nAnswer: 49*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 < 665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -56 + 56. Let u(b) be the second derivative of -1\/4*b**5 - 1\/8*b**6 - 2*b + h*b**3 - 5\/24*b**4 + 1\/8*b**2 + 0 - 1\/42*b**7. Factor u(c).\nAnswer: -(c + 1)**4*(4*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -7. What is the biggest value in -2, 2\/13, -0.2, u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119 - -125. Solve -j = -4*h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5296, 5298, 5300, 5302, 5304?\n\"Answer: 2*m + 5294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 806456.3 millilitres in litres?\nAnswer: 806.4563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 smaller than -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**4\/24 - g**3\/18 - 2*g**2\/3 + 2*g + 36. Determine f, given that m(f) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14915.9997783 - 14916. What is t rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.8739 times -13?\nAnswer: -3313.3607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/8)*m*m**(-15))**(2\/65) assuming m is positive.\nAnswer: m**(-103\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 28 = -13*m. Suppose 4*g = -0*g. Suppose m*z - 18*z + 12 = g. Solve -21 = -z*x + 4*y, 3*x - 4*y = 7*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-45)\/(-3)*(-42)\/(-15). Let r = 27 + x. Let b = r + -56. Solve b = 5*y + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -23*z**3 - z**2 - 21*z - 3. Let o be g(-21). What is o rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2)\/(w\/(w**(-6)\/w))*(w**1)**(2\/5)*(w*w\/(w\/w**(2\/7)))**(4\/23)\/(w**(-2\/3)*w)**(-5\/6) assuming w is positive.\nAnswer: w**(-131839\/14490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -115*u. Let x(m) = -2*m. Give x(d(o)).\nAnswer: 230*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -417*u + 413*u + 3*q, 0 = 2*u - 3*q - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 33 - 15 = 0. Let t = 52333\/1434 + 4\/717. Find the common denominator of (-1)\/((-22)\/(-303))*2\/c and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-2\/9)*b*b**(1\/2)*((b**(2\/17)\/b)\/b)\/(b*b\/(((b**(-4)\/b)\/b)\/b)) assuming b is positive.\nAnswer: b**(-2633\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/4 (b) -5 (c) 2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 6*s - 9. Let l be (-838)\/s - ((-82)\/(-9) - 9). Round l to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 5*f. Let i be v(5). Suppose i = -m + 2*m - 2. Which is the second smallest value? (a) -2\/13 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1599?\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccicicc. Give prob of sequence icc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u + 16 - 52. Solve -u = -5*z + y + 12, -5*y = -3*z + 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*i*j - i*k + 14*j*k - 3*k - 2 wrt i.\nAnswer: -60*j - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 110305 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 9:36 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2 - 128\/(-63)). Let x = -30 - g. What is the remainder when x is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -3 + 0 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v - 126983 = 16*v - 560039. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1391 times 130.67?\nAnswer: 18.176197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-4) + 6\/(-4)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(2502\/(-1112)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2*-1)\/(2\/43). What is the units digit of (1 - m)*(-6)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**2 - 218*u - 188. Calculate the least common multiple of 16 and a(45).\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3941809 not equal to 3941808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/51 - 7\/612. Let a(o) be the second derivative of -1\/9*o**3 - w*o**4 - 1\/6*o**2 + o + 0. Let a(p) = 0. What is p?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 2*l**2 - l**4 + (2*l**2 + 2 - 2)*(2 - 2 + 4*l**2).\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -2, 1, -0.06, -1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320347 and 10242?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3453279 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 611377503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85213800 and 31500?\nAnswer: 426069000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 1246 + 11. Let j = -108 - q. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/13 + 12*v**2\/13.\nAnswer: 2*v**2*(v + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -3259*n + 3260*n + 6, -5*h + 2*n + 13 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 11:39 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61735*g**6 - 38*g**3 + 142*g**2 + 9351*g?\nAnswer: -7408200*g**3 - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 21*g**2 - 50*g - 10. Let y be ((-154)\/(-44))\/(1\/2)*-1. Let v be q(y). Sort -43, 5, v in decreasing order.\nAnswer: 5, v, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73*-79.797\nAnswer: -5825.181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41481, 83652, 125823, 167994, 210165, 252336?\nAnswer: 294507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*j**3 - 6\/7 + 5\/7*j + 2\/7*j**2.\nAnswer: -(j - 3)*(j - 1)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2 + sqrt(21)\/(sqrt(7) - sqrt(7)*3) - ((sqrt(3) + 1)*1 + sqrt(21)\/(sqrt(63) - sqrt(7))))**2 + 1).\nAnswer: 36*sqrt(3) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 8*u + 12. Let d be p(-15). Let c = -55 + d. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*y**2)*(-43 - 36 - 178).\nAnswer: 771*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -7005 (b) -1\/3 (c) 1 (d) 2\/19 (e) -0.5 (f) 4.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnn. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -62708, -125555, -188408, -251267, -314132, -377003?\n\"Answer: -3*n**2 - 62838*n + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 2:53 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 5, -8 in decreasing order.\nAnswer: 5, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*o - 45 = 0. Suppose -3 - o = m. Let v be (171\/m)\/(1\/(-4)). Round v to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.3 (b) 0.4 (c) 1\/7 (d) -5 (e) 0.2 (f) 765\/2 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*h + 152, 2*h + 302 = 2*y - h. Let x = 174 - y. Solve -l - 22 = -x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*v + 6886020 = 62*v + 334*v. List the prime factors of v.\nAnswer: 3, 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**2. Let c be (-1840)\/345 - (-66)\/9. Let i(x) be the second derivative of -17*x + 0*x**c + 1\/3*x**3 + 0. What is i(k(q))?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -45, -93, -163, -255, -369, -505?\n\"Answer: -11*g**2 - 15*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/10*4\/(-3). Let m(x) = -2*x - z + 4 - 3. Let y(k) = -5*k - 2. Calculate 8*m(a) - 3*y(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-15))\/(1332\/(-18981)))\/(2\/5).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 5. Let r(t) = t**3 + 6*t**2 + 5*t - 5. Let y be r(-5). Let o be b(y). Let q = -752 - -752. Sort o, -2, q in increasing order.\nAnswer: -2, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*m**3 + 60*m**2 + 5*m - 30.\nAnswer: 5*(m + 1)*(m + 2)*(5*m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-4\/5)*n**(1\/9))\/((n\/((n\/(n*n\/(((n\/(n**(1\/2)\/n)*n*n*n)\/n)\/n)))\/n))\/n)**(2\/47))**42)**17 assuming n is positive.\nAnswer: n**(972706\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -65410, -63993, -62574, -61153?\n\"Answer: j**2 + 1414*j - 66825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(7) + sqrt(28)*-2 - (2 + sqrt(175)))**2*5 + -3.\nAnswer: -2263 - 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80974485 by 19.\nAnswer: -4261815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -5\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, z: 2}. What is prob of picking 3 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/5 or -229\/951?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 3*d**2 + 16*d - 56. Calculate w(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -24, -23, -22, -21?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -176 - -23. Suppose -8 = -24*c + 23*c. Calculate the remainder when 8\/(-64) - n\/c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2448) - (1 + sqrt(2448)))*-1)**2 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*d - 232 + 32*d - 63*d.\nAnswer: -3*d - 232","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1465495311\/1283 + -1142241. Let m = q + -241242\/2957315. Let t = m + 191183\/50710. Calculate the common denominator of -109\/10 and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7184744 a multiple of 757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - 1 - (-6 + (-6 - -5)) - -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.016 - -11.9. Let x = o + 82.116. Let m = -80 + x. Which is the third smallest value? (a) 0.4 (b) -0.3 (c) 2\/9 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 3:26 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2056, 2030, 2006, 1984?\nAnswer: 1964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 323*h**5\/60 - 269*h**4\/24 - h**3\/3 + 25*h**2 + 2. Find the second derivative of k(n) wrt n.\nAnswer: 646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*o, 21 - 3 = 2*l - 3*o. Let g(y) = -y**2 + 9*y - 9. What is the units digit of g(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71 or 398363?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2 - 4*j - 6*j - 11*j**2 = 0.\nAnswer: -5\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4269786840 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(425)*3)**2 - (1 + sqrt(425)*-3)) + 0 + ((-1 + sqrt(425))*6)**2 + 0.\nAnswer: -345*sqrt(17) + 19160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 1:46 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 9*n**2 - 11*n - 6. Let s be f(-10). Let q = 10 - -5. Suppose -5 = -s*k + q. Let l(z) = z**3 - 4*z**2 - 4*z - 5. Calculate l(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 13*v**2. Let b(t) = 10*t**2 + 14*t - 14. Let i(h) = -2*h**2 - 3*h + 3. Let l(j) = -3*b(j) - 14*i(j). What is l(y(w))?\nAnswer: -338*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 0*l**3 + 0*l**2 + 0*l + 1\/4*l**4 + 1\/5*l**5 - 3. Solve j(k) = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507 is divided by 345?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 42\/(-9) - (-13)\/39. Let w = -24 + 458\/19. What is the smallest value in w, c, 3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 15*a - 88. Determine n(-12).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 650204 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 - 23*i - 434. What is the least common multiple of q(-16) and 84?\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by -995.\nAnswer: 9\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28, 36, 48, 64, 84, 108?\n\"Answer: 2*z**2 + 2*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22335 - -22377. Calculate the remainder when 8390 is divided by t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -9. Solve -s = -n - n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*g - 139 = -203. Let i(r) = 2*r**2 + 22*r - 3. Let p(l) = l**2 + l - 1. Give g*i(h) - 3*p(h).\nAnswer: -h**2 + 19*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 2*g - 33122 = -33084, 5*x + 2*g + 42 + 7 = 0 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 b when four letters picked without replacement from zzbgyybbzbybzzzyyby?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 5:12 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 9*d - 169. Calculate y(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10454350 and 740?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -721 by 5.\nAnswer: -721\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3369047 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, h: 7, w: 4, l: 2}. What is prob of sequence wwb?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 - 344 = -118*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -5*a - 19*z, 0*a - 2*z + 8 = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1677258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**4\/3 - m**3\/3 - m**2\/2 + m. Let j(g) = -5*g**2 + 2*g - 1 + 0 - 5*g + 0*g. Determine -2*j(t) + 3*v(t).\nAnswer: -2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 197046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*w + 115*w = -35. Suppose -3*n - 5*b - 18 = -36, -2*n - 5*b = -w. Suppose 0*f - f = -6. Calculate the smallest common multiple of n and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 400\nAnswer: -3\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1570943*n**3*u**2 + 3*n**2*u**2 - 2*n**2 + 23104*u**2 wrt n?\nAnswer: 9425658*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (112*y**2 - 33697*y + 33697*y)*(0*y - y + 1 - y) to m*y**2 + f + a*y**3 + p*y and give a.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145 + -144.999729. Round c to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 69*b**2 - 893*b - 488. Determine c(-52).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/39))\/(m**35*m*m)*(m\/m**(2\/19))\/m**(-29) assuming m is positive.\nAnswer: m**(-4543\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n*n\/((n**(-2\/13)*n*n)\/n)*n*n))*n*n**(2\/5))**(30\/11) assuming n is positive.\nAnswer: n**(126\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/39)*q)\/(q*q\/((q\/q**(-1\/7))\/q)) assuming q is positive.\nAnswer: q**(-227\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 28*w**2 + 24*w + 6. What is the smallest common multiple of 50 and z(-2)?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o**2 - 22*o**2 + 15*o**2.\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(0 + 0 - q)*(-5 + 2 + 4).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(52) - sqrt(208)) - (sqrt(156)\/((sqrt(96)*-1)\/sqrt(8) - sqrt(12)))**2.\nAnswer: -10*sqrt(13) - 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28949 divided by -2273.\nAnswer: -28949\/2273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*x - 9 - 15, -2*i = x + 16. Let m = -7 - i. Suppose m*d - 3 = -d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -365, -729, -1093, -1457, -1821, -2185?\nAnswer: -2549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/4)\/(-1))\/((-63)\/(-24))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-6))\/4*(1863\/(-1173))\/9\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1068\/(-712))\/(1*(-165)\/682)?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188451480.\nAnswer: 2, 3, 5, 7, 31, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2062739.4 months in decades?\nAnswer: 17189.495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048613 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0.1, -23, -2\/5, 8 in increasing order.\nAnswer: -23, -2\/5, 0.1, 2\/13, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 3 - 3)*(0 - 2*k**2 + 0) + 2*k**3 - 2 + 2 + (3*k**2 + 4*k**2 - 8*k**2)*(49*k - 120*k + 35*k - 1).\nAnswer: 46*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10972642 and -3?\nAnswer: 10972645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 5974687.25 to the nearest 1000.\nAnswer: 5975000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 12:45 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964 is divided by 409.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*a = 3965, 9932 = -21*n + 16*n + a. Which is greater: n or -1988?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12307518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + (sqrt(304)*-1)**2)*-1 - (sqrt(304) + -1 + -4)**2 - (6*((1*sqrt(76))\/sqrt(4) + -2))**2.\nAnswer: -1461 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561 - 603 = -14*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37834 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 7:23 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - 170. Let f(t) = 2*t. Let u(v) = 6*f(v) + x(v). Let y(r) = -r + 14. Let a(k) = -3*u(k) - 35*y(k). Calculate a(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -300*a**5 + 19340*a**4 + 74072*a**3 - 136464*a**2 + 68704*a - 10880 = 0?\nAnswer: -5, 2\/5, 2\/3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 1. Let l be u(21). Let z(n) = n**2 + 22*n + 44. Let g be z(l). Solve 2*i + i + 20 = -g*d, -4*i + 5*d = 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 4*w - 19 = 0, 30154*h + 13 = 30151*h - 2*w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.7 - -1.7. Let l = f + 13.0000056. What is l rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 5 + (-2 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-19)\/4)\/((-11)\/44). Let s = 39 - k. Let z = 26 - -13. What is the remainder when z is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8105 and 478368447?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**2 - 21. Let p(c) = 13*c**2 - c - 39. What is -5*n(k) + 3*p(k)?\nAnswer: 9*k**2 - 3*k - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58 - -60 - (-40)\/36 and -49\/242?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 + 30*i**2 + 22*i**2 - 3*i**3 + 4*i**2.\nAnswer: i**3 + 56*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 0 + a + 0*a**2 - 1\/2*a**3. Let h(s) = 2*s. What is h(o(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4680, 4380, 3874, 3156, 2220, 1060, -330, -1956?\n\"Answer: -w**3 - 97*w**2 - 2*w + 4780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 73*u**2 - 3302*u - 263. Determine k(46).\nAnswer: 2313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-1008)\/(-88) + (-372)\/(-924)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7917 = -4*y + 3*d, d = -2*y + 3963. Is 30 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33\/8 - -39\/8. What is the closest to -4 in f, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14042143 (base 6) to base 12.\nAnswer: 1a9353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 2*c**2 - 3*c**2 + (48 + 57 - 181 - c)*(0*c - 2*c + 0*c).\nAnswer: c**2 + 152*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*-4.2\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**4\/7 - 138*y**3\/7 - 291*y**2\/7 + 138*y\/7 + 288\/7 = 0.\nAnswer: -2, -1, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3721534 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o - 200628 - 271766 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 13. Let p = -20 + 10. Let x be u(p). What is the least common multiple of 8 and -3 + -13*(x - -2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - 4. Let v(q) = q**3 + 10*q**2 - 11*q + 16. Let h be v(b). Solve x - 2 = -5, 0 = y + 4*x + h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 10*g = -4*u + 1423, -1086 = -3*u - 3*g. Let b = u + -224. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*k + 8 = -3*z + 60*k, -z + 171 = -173*k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1203112 (base 8) to base 4\nAnswer: -1100121022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003474269 rounded to seven decimal places?\nAnswer: 0.0003474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114362 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 347142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2212209.917 to the nearest ten thousand.\nAnswer: -2210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*d - 1950 + 1899 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 divided by 9?\nAnswer: -148\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 5*x - 18, -4*p = -30*x + 8*x + 23*x + 30 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 247843.19 to the nearest 100.\nAnswer: 247800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 822, 822, 820, 816, 810, 802?\n\"Answer: -s**2 + 3*s + 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 8 = 7*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9195 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from oioozzoozg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s = -10. Let j be (s\/4)\/(1\/2). Let a = -0.3 + 0.2. Sort j, -0.4, a in increasing order.\nAnswer: j, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4873574 by 17.\nAnswer: -4873574\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1617725*z**3 + 885*z**2 + 7*z - 16 wrt z?\nAnswer: 9706350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19002*y**4 - 37657*y**4 + 18848*y**4 - 1163*y wrt y?\nAnswer: 2316*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.64\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1161 + 3478\/3. Which is the closest to -1? (a) k (b) 3\/5 (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6049 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.1 - -30.2. Let d = 0.8 + -0.3. Let r = 0.48 - d. Which is the nearest to 1\/2? (a) r (b) p (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - 3*b + 3*b)*((b + 2*b - b)*(-8*b**2 + 3*b**2 - b**2) + 4*b**2 - 3*b**3 - 4*b**2) in the form a*b**4 + m*b**3 + d*b + j*b**2 + t and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1404493611?\nAnswer: 3, 113, 4143049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:11 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3009 and 2?\nAnswer: 6018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1899165 years to millennia.\nAnswer: 0.0001899165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -21*z. Let y(d) = 24*d**2 - 3*d. Determine y(h(n)).\nAnswer: 10584*n**2 + 63*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 + 908086*f - 2724257\/3.\nAnswer: -(f - 2724257)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 173257 and 102396.\nAnswer: 47818932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/74 and -4 + ((-289)\/(-170) - (1 - 6)).\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67121 greater than -6862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-3 + (-92)\/(-32)). Calculate the highest common divisor of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24083787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q - 43. Give o(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c34371 (base 13) in base 6?\nAnswer: -532553511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7574 or -22.178?\nAnswer: 7574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1846 + 3013 = z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -91\/415 or -2.492?\nAnswer: -91\/415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432)*1 + (sqrt(21)\/sqrt(7))**2*-6.\nAnswer: -18 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 22. Suppose -12 = -2*k + q*k. Let s(x) = 3*x**2 + 5*x + 1. Let d(z) = 7*z**2 + 10*z + 3. Let i(t) = 2*d(t) - 5*s(t). Give i(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 331670?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 9:45 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from {q: 4, k: 1, e: 4, c: 2, y: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f + 13*f + 6*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15855, -31585, -47173, -62619, -77923, -93085?\n\"Answer: 71*v**2 - 15943*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*t**3 - 88*t**3 - 4*t - t**2 - 2 + 173*t**3)*(-1 + 2 + 1).\nAnswer: -6*t**3 - 2*t**2 - 8*t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505 is divided by 35.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 7*m**6\/120 + m**4\/8 - 9*m**2\/2 - 6. Let i(g) be the second derivative of z(g). What is the second derivative of i(c) wrt c?\nAnswer: 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 * -0.013\nAnswer: -0.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from znnzyomzznnnoyon?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 25 = 2*j. Which is the closest to 1\/3? (a) j (b) -1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(((-238)\/6)\/17))\/24\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2592 by -1097.\nAnswer: 2592\/1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/12 - 2)*(-8)\/2. What is the smallest common multiple of 28 and 49 + (-2*(-6)\/4)\/v?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 10, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 + 8*b**2 + 10*b - 10. Let p(o) = o**2 + o - 1. Suppose -4*a = -2*q - 714, -1530 - 277 = 5*q + a. Let g = q - -362. What is g*d(f) - 8*p(f)?\nAnswer: 2*f**3 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 8*a**2 - 9*a + 9. Calculate f(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -13862 and -4638 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -667, 0, 1, 5, -12, 10 in decreasing order.\nAnswer: 10, 5, 1, 0, -12, -667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*88\/(-33)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/12)\/5*12\/(-16)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 - 80*n**3 + 95*n**2 + 170*n.\nAnswer: -5*n*(n - 2)*(n + 1)*(n + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**5 + 10*w**4 - 110*w**3\/3 + 60*w**2 - 45*w + 575. Determine f so that x(f) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - 5*v**2 + 4*v**2)*((5 - 7 + 17)*(-v + 4*v - v) - 3*v + 4*v - 3*v + 140 - 140 + 29*v).\nAnswer: -228*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 86. Let w = 94 - k. What is the greatest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1186 and 871117?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -11. Let c = -4 - -7. What is the least common multiple of w and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -116\/5, 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 678 + -596. What is the remainder when o is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r**3 - 3*r**2 - 3. Let j = 2 - 7. Let k(u) = 6*u**2 + 5 - 36*u**3 + 11*u**3 - u**2 + 14*u**3. Give j*v(l) - 3*k(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*n - 98*n = 9. What is the second derivative of -1624*z + 2 + 1618*z - n*z**4 - 1 wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**3\/3 - 9*g**2 - 8*g. Let j be f(-11). Suppose 74 = 3*v - 4*i, j*v - 5*i = -v + 120. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.74 - -13. Let j = o + -0.16. Is j greater than 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -173764552*w**3 - 35976014?\nAnswer: -521293656*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-141)\/15 + 9)\/(2\/(-90)). Solve -2*t - 4*h = -j, 3*h + 3 = 5*t - h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/36350 and -7\/18175.\nAnswer: 36350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**8\/112 - t**7\/70 + t**6\/20 + t**5\/10 - t**4\/8 - t**3\/2 - 8*t**2. Factor a(y).\nAnswer: -3*(y - 1)**2*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*b - 5*s, 4 = -b - 0*s + 4*s. Suppose c + b - 7 = 0. Let v(r) = 100 - r + 2*r**2 - 100 + c*r**3. Calculate v(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - 110101110011111011010?\nAnswer: -110101110011111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 5 - 4 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1560.5 + -1624.244. Let j = 61.7 + m. Let r = 2 + j. What is r rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/2 (b) 1\/3 (c) -1 (d) -4\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -131*n**2 - 512 + 161 + 63*n**4 + 131*n**2 - 2*n**3 with respect to n.\nAnswer: 252*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 14*c - 37. Let w(m) = -14*m + 39. Let y(d) = -4*j(d) - 3*w(d). What is the hundreds digit of y(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2404080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50173.87161358 - -50173.99. Let l = 0.1184 - j. Round l to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 + -25. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 12*m + 5. Let f(l) = -49*l - 21. Let v(n) = -5*f(n) - 21*g(n). Let r be v(-3). Calculate the highest common factor of r and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyeilcl. What is prob of sequence lw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 406*w - 1. Let b be z(4). Let x be (-824)\/12*b\/1. Let j = 17446 + x. What is j rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22710208 to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8 = -72. Let i(s) = 20*s - 42. Let p be i(f). Let w = -185 + p. What are the prime factors of w?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -387*a + 2613. Calculate g(7).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**9\/1008 - z**7\/280 + 13*z**3\/3 - z**2\/2 + 31*z. Let g(k) be the second derivative of x(k). Factor g(p).\nAnswer: 3*p**3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 3 - 11*b**2 + 6*b**2 + 7*b**2. Let i(m) = m**2. Determine k(i(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-162)\/(-126)*(-413)\/177.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-66)\/(-18) + 2\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(70\/15))\/(21\/(-6818)). Suppose l - 1185 = -h. Does 99 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175743.\nAnswer: 1175743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 60*g**3 + 1\/150*g**5 + 0*g + 0 - g**4 - 13*g**2. Factor b(v).\nAnswer: 2*(v - 30)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 9 = c - 9, -20 = 4*n - 2*c. Let v(d) = d**2 + 4*d - 1. Let h be v(-3). Let x = h - -2. Put n, 4, x in descending order.\nAnswer: 4, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0296500012 - 6.\nAnswer: -5.9703499988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30054 (base 8) in base 7?\nAnswer: -50645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**4 + 362*k**3 - 1696*k**2. Let u(i) = -i**4 + 4*i**3 + i**2. Let g(c) = -6*u(c) + x(c). What is the third derivative of g(a) wrt a?\nAnswer: 96*a + 2028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66403 + 941848.\nAnswer: 1008251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) -1 (c) -2.8 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49436 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 4 = -2*a. Is 2 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -831524, -831683, -831842, -832001, -832160?\n\"Answer: -159*q - 831365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*k**2 - 12*k**2 + 11*k**2)*(0*k**3 + 4*k**3 - 6*k**3 - k).\nAnswer: 46*k**5 + 23*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4205\/(-203) + 21 + 542\/14 + 0?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.8 + 6.2. What is the third smallest value in -5.5, s, 0, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -3*i - 5, 6*i - 14 = -5*j + 12*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14499 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a245 - 22?\nAnswer: a223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 21*m**2 - 17*m - 15. Let k be -2*(0 - (11 + -1)). Calculate the remainder when t(k) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (-143 - -162) - (-1 + -1 + 105)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/7? (a) -4 (b) -3 (c) 0.12 (d) 3\/2 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - 2*f - 3*f + 27*f**3.\nAnswer: 27*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 u, and 1 l when four letters picked without replacement from tcctrtuccuczluczc.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 30 = -5*k, 0 = 29*k - 27*k + 3*d + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 791 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*u - 4*i, 5*u - 28 = u + i. Let w(n) = -n. Let s(o) = 6*o + 1. Let p(m) = s(m) + 5*w(m). What is the units digit of p(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19692 divided by -115.\nAnswer: -19692\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 6\/3)\/(138\/(-621))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39441077, 39441066, 39441041, 39440996, 39440925, 39440822, 39440681, 39440496?\n\"Answer: -r**3 - r**2 - r + 39441080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217, 932, 2115, 3760, 5861, 8412?\nAnswer: 11407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.461 - 0.025. Let p = 0.064 + a. Let l = -0.7 + 0.4. What is the nearest to -1 in 5, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-29)\/1)\/((-35)\/371). Let g = v - 307. Let -4*z - 10 - g*z**2 = 0. What is z?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2396 + 0.0604. Let g = f + -2.6. Let y = 6 - 9. Which is the closest to -1\/2? (a) g (b) -2\/17 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w - 8. Sort -1, 5, w in descending order.\nAnswer: 5, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -915 by -41.\nAnswer: 915\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/28*(-87)\/(89349\/(-553)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and 1641.\nAnswer: 147.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**3 - 3*p**2 - 9*p - 39. Give m(-3).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 2*a. Let i(x) = -x**2 - 2*x - 2. Let f(j) = d(j) + i(j). Let h(m) = -6*m**2 - 3. Give -5*f(t) + 3*h(t).\nAnswer: -3*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28539, 114300, 257285, 457488, 714903, 1029524, 1401345, 1830360?\nAnswer: 2316563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.42 + -23.58. Let t = -23.9864 - i. What is t rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-91)\/(-5))\/(383721\/49195)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750470565 is divided by 1969.\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/8849 in -0.2, -1, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2220 is divided by 89.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 3*a**2 - 4*a + 1. Let b be v(3). Let q = b - -16. Suppose 2*z = -69*z + 5*z + 3630. Calculate the greatest common divisor of z and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-2)\/(4 - 8). What are the prime factors of z\/(3\/52)*(-9 + 12)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g**2 + 6*g**2 - 18*g**2 + 21*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*b - 3*b. Suppose 5*v - 3*v = b*f, 4*f - 40 = -4*v. Let w be (-9968)\/(-1602) + 1 + 11\/(-9). Do w and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123 + 117)*(-1)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 13*b + 70. Let o be n(30). Let x = 687 + o. Let p = x + 793. List the prime factors of p.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5816 and 10.4.\nAnswer: 6.04864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -196590152 divided by 24573769\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 5, -5, 134\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b - 9. Let o(u) = u. Suppose y + 18 = -2*y. Let q be o(y). Is l(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.361 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40969 or 40967?\nAnswer: 40969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1352*w**2 + 186468722*w - 186468722*w.\nAnswer: 1352*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 620\/(-13) + (12\/(-182))\/((-417)\/(-1946))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14455440532 - 5?\nAnswer: -14455440541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7187.6283551 - -5.\nAnswer: -7182.6283551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*m**3 - 2 + (-7*m + m - m)*(-m - 4*m - 9*m)*(-m + 0*m + 0*m) to the form j*m + n + d*m**3 + g*m**2 and give d.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42 - -6659?\nAnswer: 6658.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/107372 and -54\/9571.\nAnswer: 60450436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*i, 3*i = -2*v - 7 + 25. Suppose -v*p + 0*p - 21 = 0. Let m(d) = 2*d + 10. Let z be m(p). Which is the closest to 0? (a) -5 (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 2632714432*c - 433199080028817664.\nAnswer: -4*(c - 329089304)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 c, and 1 b when three letters picked without replacement from {c: 2, b: 11, h: 6}?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 125226, 250449, 375666, 500877, 626082, 751281?\n\"Answer: -3*v**2 + 125232*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-375)\/(-6) + (10\/5*1)\/(-4). Put s, -2, 2 in increasing order.\nAnswer: -2, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**3 + 15*z**2 - 48*z - 235. Determine d so that x(d) = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -3 (c) 4 (d) 0.5 (e) 17.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 at least 107562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 17*t**2 + 3. Let v(q) = -7*q + 4*q - q + 5*q. What is v(y(s))?\nAnswer: 17*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**4\/6 - a**3\/2 + a**2 + 2*a. Let j(v) = -v + 13. Let p be j(10). Give k(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4154 is divided by 320.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310 + 843 + 272 = -89*g + 268 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u - 6. Let j = -1 - -3. Suppose 0 = 2*h + 8, -j*y + 0*h = -u*h - 16. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1784618 is divided by 1524.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 51 = 4*x, -3*b = -550*x + 549*x - 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2. Let z(m) = 25*m**2. What is z(k(l))?\nAnswer: 25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 6*j**2 + 0*j**2 + (j + j - j)*(2*j + 0 + 0).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1482 - 350*m**3 + 1482)*(-8 + 8 + 3) to the form q + y*m**2 + k*m**3 + a*m and give k.\nAnswer: -1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, v: 6, f: 7, i: 1, p: 1}. Give prob of sequence fr.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 j, and 1 u when three letters picked without replacement from {k: 2, s: 1, u: 1, r: 2, l: 1, j: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(9\/81*-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + d**2 - 2*d + 12. Let k be i(-3). Solve k = -29*j + 18*j + 44 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**3 + 4*q**2 - 2*q - 3. Let y be c(3). Let f = y - 31. Calculate the remainder when 29 is divided by (4 - f\/20)\/((-3)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61818 - 61818.27173. What is w rounded to three dps?\nAnswer: -0.272","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 46\/8 + 2\/8. Let i(q) = q**3 - 5*q**2 + 6*q - 6. Let d be i(4). Is l + d + 0 - -1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3604, 7197, 10768, 14311, 17820, 21289?\n\"Answer: -w**3 - 5*w**2 + 3615*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 12:43 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k**2 - 12*k + 44. Let l be q(-12). Suppose 2*c - l = -2*g, -4*g + c + 2140 = -4*c. Calculate the least common multiple of g and 14.\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -2 - 0 - 1. Suppose g = -x - 0*x. Let p = 1.9 - 1.6. Which is the biggest value? (a) p (b) x (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + w - 6 - 2 + 2 - w - w + w - 2*w - 3*w + 4*w - 3*w + (2*w - 2*w - 2*w)*(-5 + 2 + 2) + 0*w - 2*w + 3*w - 6*w + w + 3*w + 2*w - w + w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 y when three letters picked without replacement from wwwwwwwyywwwywwwwyyw?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60888130441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65 and 455?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58810414 to the power of 1\/2, to the nearest integer?\nAnswer: 7669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 10:46 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10842?\nAnswer: 2, 3, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -12112.\nAnswer: 3\/3028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44319.\nAnswer: 3, 11, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-569513)\/28596 - (-2)\/8. Let a be (-110)\/44*24\/(-71490). Let u = a - v. Calculate the common denominator of -22\/3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*u + 3*v, 363 - 373 = -2*u + 5*v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -2066954 and -0.02.\nAnswer: -2066954.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 6:22 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -197730\/15763 less than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -36. Let w be 6\/t*(-20)\/(-15). Let f be (-12)\/(-20) - 0\/(-1). What is the second smallest value in w, f, -2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (22\/(-44))\/(1 - 49\/56). Let c(s) be the first derivative of s**3\/3 - 8*s + 11. Calculate c(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27, 134, 311, 558?\n\"Answer: 35*w**2 + 2*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076186 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 81, 25, 156, -3\/2, -1.7, -2\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 138 + -136. Suppose 2*f = 2*o - 3*f - 15, 3*o + 4*f = 11. Suppose 5*y - o*i = -5, -i = 5*y - d*i - 7. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 1\/20*p**5 + 163*p + 1\/2*p**4 + 4*p**2 + 0 + 2*p**3. Factor y(u).\nAnswer: (u + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 22114 + 6*o**2 - 25693 - 4*o**2 as f + a*o**2 + s*o and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(15\/18))\/1. Let j be (60\/(-18))\/(2\/(-6)). Suppose 0*l = -l + 3*i, -4*l + 2*i + j = 0. Which is the closest to n? (a) 5 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**3 - 35*p + 5. Let u(z) be the first derivative of z**4\/4 - 17*z**2\/2 + 2*z - 7050. Calculate -2*d(s) + 5*u(s).\nAnswer: -s**3 - 15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1331*f**2 - 2. Let l(s) = -111*s. Calculate l(h(c)).\nAnswer: -147741*c**2 + 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 12*u. Let g(d) = 183*d + 2. Give t(g(v)).\nAnswer: 33489*v**2 - 1464*v - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 + 8 = d. What is the remainder when (-4)\/5*d\/2 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 862811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 1, 2, -4 in increasing order.\nAnswer: -4, 1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 4*m + 2. Suppose w - 20 = 5*w. Let u(q) = q**2 - 2*q + 1. Let r(a) = w*u(a) + 3*x(a). Suppose r(d) = 0. Calculate d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7 = -t, 40*t - 37*t = -4*u + 18. Calculate the remainder when 34 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -106.\nAnswer: -21\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1056 and 31\/1422?\nAnswer: 250272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1069\/11759)\/((-216)\/88)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imi when three letters picked without replacement from {m: 6, i: 7}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -57*p. Let h(t) = -t. What is h(b(u))?\nAnswer: 57*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 66751.\nAnswer: -2\/66751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 276651669 to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 - 14*y - 7. What is c(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1184365.\nAnswer: 5, 7, 13, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(275) + 3 + sqrt(275) + 0 + sqrt(275))*-6 - ((sqrt(275) - (sqrt(275) + (sqrt(275)*2*-1 - sqrt(275))) - (-4 + sqrt(275) + -2)**2) + -1).\nAnswer: -255*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.998 - -3.732. Round u to one decimal place.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -136*z + 158*z + 88 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 3*m**2 - 6*m - 2. Let f(s) = -4*s + 20. Let n be f(0). Let t = n - 15. Calculate the remainder when p(5) is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93032735 to the nearest integer?\nAnswer: 9645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 23*d - 30. Calculate h(-9).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - -3)\/(3\/(-540)*2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + 5 - 5 + (-d + 2*d + 0*d)*(-4 + 1 + 2))*(3938 - 3938 + 74*d - 2*d**3) in the form y*d**4 + h*d**2 + n*d**3 + w + g*d and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujjujujjujjujujjjjj. Give prob of sequence juj.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - (78\/42 - 2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-9))\/((-3)\/(-9))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105797 + 4*a + 4*a + 105800.\nAnswer: 8*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/75*25\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1769862, 3539728, 5309594, 7079460, 8849326, 10619192?\nAnswer: 12389058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4)**44\/((m**(2\/9)\/m)\/m*m\/(((m**3\/m*m)\/m)\/m)*m*m) assuming m is positive.\nAnswer: m**(1582\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*r - 18 = 0, 4*r + 27 - 7 = 0. Let h be a\/6 + 272\/51. Let c be (7 - h)\/((-1)\/(-10)). Is 8 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 1.3. Let m = 1.7 + y. Which is the third smallest value? (a) m (b) 4\/5 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2 = 4*g. Let k(q) = -2*q + 1. Let z be k(g). Suppose 4*l - 80 = -4*f + 8*l, 0 = z*f - 3*l - 90. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 18*t)*(-3*t**2 + 3 - 3).\nAnswer: -54*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0*r**2 + 45 - 1\/4*r**4 + 11\/4*r**5 - 5\/2*r**3 + 2*r. Find the third derivative of p(m) wrt m.\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 1281722?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 10*a - 1. Let l(b) = b + 18. Let p be l(-15). Calculate the least common multiple of p\/(-4)*(-312)\/13 and k(-7).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*d + 2*l - 20, 3*d + 5*l - 32 = 0. What is the third derivative of -4*z**2 + 0*z**d - 25*z**6 + 13*z**6 + 0*z**4 wrt z?\nAnswer: -1440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5826, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l**2. Let j(g) = 14*g**2. Let k(o) = 5*j(o) - 8*p(o). Let z(c) = -c + 2. Let q = 6 + -4. Let n(x) = 1. Let w(u) = q*n(u) - z(u). Give k(w(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*w + 3*s, -2*s - 5 - 3 = -3*w. Suppose 0 = 5*d + 2*c + 2*c - 12, -2*d = -5*c + 15. Let k be -3*(-1 - d) - -1. Solve -b + w*b + k = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kokp when four letters picked without replacement from {o: 9, p: 8, k: 2}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -17, 19, -4, 34, -3 in increasing order.\nAnswer: -17, -4, -3, 0, 19, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25126324 divided by 131.\nAnswer: -191804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvv when three letters picked without replacement from {m: 7, i: 2, v: 3}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(4\/15)*h)\/(h*(h\/(h\/((h*(h*h**(3\/16))\/h*h)\/h)))\/h*h))\/(h**(1\/21)*h)**(-40))**(-4\/13) assuming h is positive.\nAnswer: h**(-23511\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-12))\/((-1)\/4). Suppose 3*p - 2*p + 4 = u, -2*p = -5*u + 20. Let b(m) = m. Let h be b(p). Which is greater: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from uhuuuunuluukuusu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-685 - -728) + (4 - (-2 + 6) - (3 + -1)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1163954 and 21965?\nAnswer: 133854710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, c: 7, i: 3, r: 5}. Give prob of picking 1 i, 2 r, and 1 c.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 33 (b) 3 (c) 9 (d) -2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.02 and -7261.\nAnswer: -7262.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 55, -3\/7?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 31125805.6 to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 + 2. Let v = 750 - 749.817. Let s = -0.117 - v. Which is the second biggest value? (a) -8 (b) n (c) 0.1 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169429811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4))\/((27\/300)\/(36\/60)). Put 4, 5, j, -4 in descending order.\nAnswer: 5, 4, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - d**2 - 9*d**2 + 53 - 26.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -38484, -11, 5 in descending order.\nAnswer: 5, -1, -3, -11, -38484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.64443 nanometers in kilometers?\nAnswer: 0.00000000009864443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -66, -254, -650, -1356, -2474, -4106, -6354?\n\"Answer: -17*t**3 - 2*t**2 - 63*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 1:52 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 484 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -868 - 2*w - 802 + 1750 - 2*w. Determine k(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 678616?\nAnswer: 678618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o - o)*(-4*o**4 + 3*o**4 + 2*o**4) + o**4 - 6 + 39*o**5 - 62*o**5 + 82*o**5.\nAnswer: 57*o**5 + o**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*4\/(-1). Let v(p) = 5*p**2 + 6*p + 5. Let j(g) = -3*g**2 - 4*g - 3. Let b(o) = 8*j(o) + 5*v(o). Let s be b(1). Sort 4, s, h in decreasing order.\nAnswer: 4, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17258 + -16944. What is the remainder when f is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 8*m - 1. Let b be (-16)\/(-16) - (2 + 8 - -1). Determine v(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3803928 - -3803890.00059. Let d = p - -38. Round d to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1975*a + 1973*a + 2 - 1 - 1.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 3, 1, 15 in decreasing order.\nAnswer: 15, 5, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28, -3, 94, 299, 648, 1177, 1922?\n\"Answer: 6*x**3 - 17*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (451\/55 - 8)\/(2\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.33 - 21.13. Sort -0.9, l, 5\/3 in ascending order.\nAnswer: -0.9, l, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209240 by 41848.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3068*d**2. Let y(p) = -2*p**2 - 3*p**2 + 3884*p - 3884*p + 6*p**2. What is v(y(o))?\nAnswer: -3068*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-24)\/20)\/((-3)\/(-15)) - -1902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 18 - 7*n**4 + 6*n**5 + 0*n - 17*n**4 - 2*n**5 - 7*n**5 + 39*n + 6*n**2 - 36*n**3 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + ((-3 + 6*(sqrt(1053) + -1))*-1)**2 + -5.\nAnswer: -972*sqrt(13) + 37993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1262, 4189, 9062, 15875, 24622, 35297, 47894?\nAnswer: 62407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 7*n = -4*n + 3, 11 = s - 2*n. Let q be (4\/s)\/((-170)\/(-255)). Find d such that -2\/9*d**q + 2\/3*d + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-94)\/3)\/(-1))\/(5\/(-90)). Let f = 326 + o. Let i = 811 - f. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -309789\/20 - -15495. Let v = -7615015016 - -158910133226935\/20868. Let o = v + 1\/3478. Find the common denominator of f and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*l + 24*l - 1240 = 0. Which is the nearest to -0.2? (a) 0 (b) 1 (c) l (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 5*v**3\/3 - 2. Let d(z) be the third derivative of -z**4\/24 - 40*z**2. What is d(p(w))?\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z = -25*z + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.5 minus 232837?\nAnswer: -232803.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000671306 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = -1. Suppose -r - d = -0 - 9, -y*r + 4*d + 24 = 0. Solve r = -i - 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(11)*1) + -3.\nAnswer: -3 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 142613 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00316253 rounded to four dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3633 + 5869. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuuf. What is prob of sequence uu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 4*g**2 + 2*g - 5. Let i be q(4). Which is bigger: i or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -63380893.\nAnswer: -5\/63380893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 4:56 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -2)*-1*23. Suppose 7*p = 11*p + 20, -p + 63 = -4*c. Let k = c - l. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -6 + (3 - -1) - (-10 - -18)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*o + 72*o + 502000 = 0. Round o to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 4)*(-4 + 4 - 2) + (0 - 3 - 1)*(1 + 0 + 4))*(3*f**2 + 2*f**3 - 3*f**2).\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14 and -63277.\nAnswer: -8858.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w - 4*w)*(-663*w + 1 + 290*w + 322*w)*(2 - 1 + 0).\nAnswer: 153*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*k - 7625 + 7625)*(-6*k + 5*k - 3*k) + (-2 + 1 + 0)*(0*k**2 + 0*k**2 + k**2) in the form g*k + y + l*k**2 and give l.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -28, -24, -22, -22, -24, -28?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3304*d - 1686. What are the prime factors of i(-4)?\nAnswer: 2, 5, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 18*g**2 - 8*g + 39. Let c be f(17). Let u = -77 + c. Let d be (-2)\/(u\/25 + -5). Solve 12 = 5*q - j, -3*q - d*j + 2 = -3*j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 1050*n**2 - 4192*n - 31. Calculate d(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22028587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 478*v**2 - 242*v**2 - 236*v**2 - 3*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pop.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121\/14 - 9061\/1050. Find the common denominator of 16\/345 and w.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 17*l - 583. Determine d(39).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*w + 4. Suppose -225*a + 213*a = -432. What is the lowest common multiple of w and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1203*s**2 - 2938*s - 15381. Determine n(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 5*l = s - 25, 3*s = -2*l + 15. Suppose -l*u + 82*u = 3484. What is the greatest common factor of 221 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 83 and -0.025072764?\nAnswer: 83.025072764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssfffssssffsf. Give prob of picking 4 s.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-2))\/((-6)\/(-141)). Suppose y = 3*t + 5*l, -t - 5*l = -5*t + 51. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1347, 2, 2844 in increasing order.\nAnswer: -1347, 2, 2844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 442326611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.63 + -0.62999894. What is m rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 492727833?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, c: 3, t: 2, q: 4, l: 3}. Give prob of sequence qjlc.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-34)\/(-98))*-1. Let l = 2\/147 + p. Let j = 18.1 - 18. What is the closest to j in l, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49, -70, -399, -1046, -2119, -3726, -5975, -8974?\n\"Answer: -18*o**3 + 3*o**2 - 2*o + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-154)\/50 - (-32)\/400?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000682 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 65 - 130710?\nAnswer: -1306ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 3. Let l(h) = 5*h**3 - h**2 + 11. Let t(u) = 2*l(u) - 9*z(u). Suppose -10*c - 42 = -1382. Calculate the remainder when c is divided by t(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 - -96. Suppose w = -4*m + 399980, -o*m + 214808 - 1414818 = -3*w. What is w rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5615)\/(-23583)*14\/(-9).\nAnswer: -10\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**1*f)*f)\/f)**(-6)*((f**7\/f)\/f)\/(f*f*f**(-2\/9)*f) assuming f is positive.\nAnswer: f**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 313 (base 13) to base 10\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 34*l + 206. Let x(r) = 2*r**2 + 35*r + 205. Let z(f) = -5*j(f) + 6*x(f). Find d such that z(d) = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*j**3 + j**5 - 2*j + 32*j**3 + 8*j**5 - 4 - 2*j**5 wrt j?\nAnswer: 140*j**3 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j = 0, 4*j = -2*v - 6. Let m(p) = p + 4. What is the lowest common multiple of m(v) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103811979 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, h: 3, m: 1, j: 4, u: 5}. What is prob of sequence kmhh?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134008 or -134011?\nAnswer: -134011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 18. Suppose -28 = -5*p + 3*p. Suppose 4*v - p = -2. What is the remainder when x is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - -2*sqrt(88)) + (sqrt(66) - sqrt(66)*-1)\/sqrt(3))\/((sqrt(8) - -1*sqrt(8)*2)\/sqrt(4)).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.907 + 7.907. Sort 1, b, -1\/3, -10.7, -0.1 in increasing order.\nAnswer: -10.7, -1\/3, -0.1, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -124303104?\nAnswer: -124303044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*s)*(0*s - 5*s + 4*s + 3).\nAnswer: -3*s**2 + 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**2 - 150*q + 196. Let o be j(-29). What is the greatest common divisor of o and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nineteen quarters of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-15)*(-1040)\/6448.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 550757.\nAnswer: 4\/550757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 + k + 1. Suppose 3*y = 3*c + 15, 5*c + 5 = -3*y + 12. Let n be u(c). Solve 31 = -2*t - t + n*g, -t = -2*g + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413353.\nAnswer: 413353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - r + 2*r)*(r**2 + 0*r**2 + r**2) + (3 + 5 - 3)*(5*r**3 - 3*r**3 - 3*r**3).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*u = 109*u - 25 + 113. Let g = 29 + -9. Let b = u + g. Calculate the highest common factor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 - 3*w - 7*w + 10*w. Let d(k) = -10*k**2. Calculate d(r(j)).\nAnswer: -40*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 0 + 2*v**5 + 9\/2*v**4 - 141\/2*v**3 - 41\/2*v**2 + 105\/2*v = 0.\nAnswer: -7, -1, 0, 3\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 5:30 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 731d (base 15) to base 5\nAnswer: 1234303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*y + 490 + 548 = -110*y. Let s(q) = 2*q**2 + 4*q - 45. Give s(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 1:39 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/4*46\/(-115).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = l - 4*h - 4, 2*h = 3*l + 348. Let w = l + 40. Is (w\/16)\/(5\/(-340)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*y + 26 = 0, 2*y + 0 = -4. Suppose -48 = -8*v + 3*v + 2*j, 0 = 4*v + 5*j - 12. What is the greatest common divisor of v and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124291640.\nAnswer: 2, 5, 11, 282481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 0*q**7 + 0*q**2 + 0*q**5 - 9*q - 1\/28*q**8 + 11\/6*q**4 + 0*q**6 + 0 + 0*q**3. Find the third derivative of w(u) wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 19934 = -4*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 1) + 3 - 2. List the prime factors of x\/(-2)*1*-4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2505 minus -414616?\nAnswer: 417121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 12:24 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/226940 and 29\/55259890.\nAnswer: 110519780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7013744 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 16 - 8. Let p(u) = -2*u - 7. Let h be p(f). Suppose -a + 15 = -h*t, 4*a + 4*t - 56 = 28. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2 + 273*c - 2873. Give u(41).\nAnswer: 1596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -8. Let f = s - -2. Suppose 3*w - 3 = f. Solve -g + 2 - w = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 204 + -177. What is the remainder when 75 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 292*h + 12. Let a(i) = -99*i - 4. Calculate -8*a(t) - 3*c(t).\nAnswer: -84*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + 4*r**2 + 2*r - 2. Let p(b) = b**2. Let n = -2 - 0. Let k(u) = n*p(u) + x(u). Suppose k(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 2*v**2 + v**2 - 9 + 0 + 10. Let y(a) = 5*a**2. Give 3*j(d) - y(d).\nAnswer: -2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -218, 1, 31\/7?\nAnswer: 31\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25178.\nAnswer: 2, 12589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 134 (b) 18653 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -910020 greater than -910021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4127 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 112*s**3 + 2*s - 2. What is i(1)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7589 divided by -19.\nAnswer: 7589\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20823*m + 17*m**2 - 3 + 20823*m - 43*m**2.\nAnswer: -26*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1521861218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 61261, 61250, 61243, 61240, 61241, 61246, 61255?\n\"Answer: 2*x**2 - 17*x + 61276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24086*k**2 + 24004*k**2 - 3*k + 3*k.\nAnswer: -82*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -434 divided by -31?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -47 - (11 - (17 + 21))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-308)*(-6831)\/(-69))\/(2\/((-2)\/(-21)))?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + -21051568.7?\nAnswer: -21051517.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28424 is divided by 14070.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/13 (b) -3\/4 (c) 3\/7 (d) -0.3 (e) 2\/11 (f) 4\/9 (g) 0.093\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 2:56 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 905.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 1:26 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/1069 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6))**34\/((o*o**17\/o)\/o**20) assuming o is positive.\nAnswer: o**(-201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -363616 + 0?\nAnswer: -363616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = n - l + 12, -10 = n - 4*l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2068282 or -2068285?\nAnswer: -2068285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*r + 4 + 6 = 0, 4*q + 5*r - 40 = 0. Let f = 16 - q. Solve o = f*o + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37047.3 weeks in seconds?\nAnswer: 22406207040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119) + 3*sqrt(119))*3 - sqrt(119))\/(sqrt(7)*-2*-6).\nAnswer: 7*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-3))\/((-4)\/(-6)). What is the third derivative of c**4 + 2*c**4 - 4*c**o - c**2 + 3*c**2 wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + q**2 - 1. Let b(l) = -348*l + 7 + 348*l - 3*l**2 - 4. Give -b(g) - 3*d(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15907244 and -4.7?\nAnswer: 15907239.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -273, -418, -563, -708?\nAnswer: -853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1696*q + 13564. What is z(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 - -15.6. Let z = 11 - b. Let u = -5.0002 - z. Round u to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -19. Let z = -5.167 + -0.033. Let p = z + r. Which is the closest to -2\/3? (a) p (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(833) + -2 + sqrt(833) + 2))**2.\nAnswer: 119952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1666088, -1665624, -1665160, -1664696?\nAnswer: -1664232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 38 - 94 = -12*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1006616176 and 2512.\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 84\/24*(-9)\/6615*-14\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/20320 and -20\/21019.\nAnswer: 427106080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5460, -3331, -1198, 939?\nAnswer: 3080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l - 985 = -355 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21821 is divided by 200.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r**2 - 4*r**2 - 17*r**2 - 6*r**2 + 95*r**2.\nAnswer: 51*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000383513106 to 7 dps.\nAnswer: 0.0003835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r + 4*k + 4, -3*r + 5*k = -29. Suppose -4*h + 10 = -2*o, -60 = -3*o - 4*h - 25. Solve o*y - r*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15135035.87 and 109362?\nAnswer: 15025673.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -122*l + 2702. What is the remainder when y(20) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 53?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - u + 8. Suppose 0 = 6*a + 974 - 1010. Give w(a).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2523635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -j - q - 2, 0 = -4*j + q - 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -147? (a) -3 (b) -36 (c) 0.018 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 9 + -3 + 1. Suppose -3*p + 2*a - a + 62 = 0, -z*a = 2*p - 18. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 12*m**2 - 11*m + 4. Let p be l(-11). Suppose 0*w - p*w = -156. What is the remainder when w is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 40171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80400915 and 3430?\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -44623 (base 7) in base 5?\nAnswer: -330122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 3. Let i be z(-8). Suppose -3*r + i = 5*b - 2*r, -5*b + 2*r + 20 = 0. Solve -j = b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 182\/84*56\/182. Which is the closest to u? (a) -191 (b) -0.1 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 373*k - 54. Let p(g) = -186*g + 31. Give -4*o(l) - 7*p(l).\nAnswer: -190*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)*c)\/c)**11 assuming c is positive.\nAnswer: c**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 22184*c - 557100.\nAnswer: 4*(c - 5571)*(c + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3314, 4 in increasing order.\nAnswer: -6, 4, 3314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9}. Give prob of picking 3 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -341690, -683324, -1024968, -1366622, -1708286, -2049960, -2391644?\n\"Answer: -5*p**2 - 341619*p - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*i**4 + i**3 - 2 - i**2 - 233*i**4 + 119*i**4 + 3*i**2 as r*i**3 + w*i + b*i**2 + y + x*i**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106043 and 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q. Let g be -1 - (0 + 2)\/(-2). Let b(d) = -2*d**2 + 0*d**2 + g*d + 0*d. Calculate b(u(x)).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 43651760?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 4*s**2 - 15*s + 35. Give z(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 8 + -5 - (1 - -5 - -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2157012 and -61\/42?\nAnswer: 15099084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 18, j: 2}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, o: 10}. What is prob of picking 3 o?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12*-1)\/((-1)\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 6*c + 61, -4*c - 1154 = -n - 1125 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - v - 4 = 0, 12*v - 11*v = -p + 4. Sort -0.3, p, 0.5, 1 in descending order.\nAnswer: p, 1, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5 - 2970*b**4 + 980100*b**3 - 107811000*b**2 = 0. Calculate b.\nAnswer: 0, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -678\nAnswer: 3390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 30*n - 19. Let b(t) = -18*t + 117. Let d be b(6). Does 14 divide q(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/5 (b) -108 (c) 1 (d) -2\/7 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/7)*g**(-18))**(3\/8) assuming g is positive.\nAnswer: g**(-363\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-15519)\/(-3838366))\/((-6)\/56)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 90.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, h: 2, g: 1, v: 5, o: 1}. Give prob of sequence vgh.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 36265438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0038 - -0.2962. Put b, -3.9, -1\/2, -2 in decreasing order.\nAnswer: b, -1\/2, -2, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = 0, 4*l - 2*w - 53 = -3*w. What is the remainder when (-6)\/3*(-38)\/2 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 28*m**2 - 58*m + 830. Calculate i(27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*w**2 - 4*w**2 + 12*w**2)*(-124*w - 11 + 11 + (6 - 3 - 4)*(-1 + 2*w + 1)) in the form f*w**3 + d*w**2 + u + n*w and give f.\nAnswer: -2898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 155 = -9*l - 210, a + 26*l = -124 - 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/3 and -31\/478?\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3972*c. Let h(d) = 899657*d. What is -5*h(u) - 1132*q(u)?\nAnswer: -1981*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-8 - -6) - (5 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 13*x**2 - 2*x. Let f(y) = 178*y - y**2 - 178*y. Give c(f(a)).\nAnswer: 13*a**4 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19706 and 236.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2309423 is divided by 312.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3395 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1250\/18 - 1 - 616\/1386. Sort 0, v, 4, -1 in ascending order.\nAnswer: -1, 0, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 0*c + c)*(-6 - 5*c + 6) + (3*c - 4*c + 0*c)*(0*c + c + c) - 2*c**2 + 2*c - 2*c - c + c - c**2.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, -51.\nAnswer: -51, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7155.04 - 6984. Let o = p + -174. Let d = o + 2.4. What is d rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y + 22. Let l be q(5). Suppose l*a = 10*a - 200. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -441430040 - 133?\nAnswer: -441430223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186 and 218054?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*o - 3*o. Suppose 4*k + 44 = 5*y + 3*k, 20 = 4*y + 3*k. Suppose 13*w = 17*w + y. Sort w, -5, o in descending order.\nAnswer: w, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*r + 44 = -30*r. Solve r*l - 2*m + 30 = 0, 0 = -3*l - 0*l + m - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85*20\/(-200)*(-1050)\/(-1275)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (200\/6)\/((-1)\/39). What is g rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 52*c - 16. Let q(m) = 8*m + 24. Let x be q(-5). Let z(d) = -17*d + 5. What is x*z(y) - 5*k(y)?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 + 0*y + 11*y**3 - 7*y**2 - 16*y - 6*y**3. Let u(f) = -f**3 + 2*f**2 + 3*f. Let k(t) = -2*h(t) - 11*u(t). Determine k(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1458 divided by 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x\/(x*x\/(x*x*x**17\/x)*x))*x*x\/(x*(((x**(-13)\/x)\/x)\/x)\/x)*x)**(-14))**(5\/14))**46 assuming x is positive.\nAnswer: x**(-1150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -399299018118 and -311?\nAnswer: 399299017807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*i**2 - i - 3*i - 10*i - 209 - 8*i wrt i.\nAnswer: -14*i - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 10*y**2 - 5*y + 5. Let o be s(5). What is the common denominator of -33\/20 and 2\/(-21)*(-2 + 605\/o)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - ((-37 - -26) + -6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/3*(-3)\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.2 + 4.4. Is h greater than 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 15*r - 1 + 25 - 13*r + 10 in the form y + i*r and give y.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9496 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 2 + 2. Let j(m) = 5*m - 3*m - m + 5. Let d(w) = -w - 6. Let g(n) = 5*d(n) + 6*j(n). What is -4*g(v) + l(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**3\/3 - y. Let f(u) = -3*u + u + 4*u. Determine z(f(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let s be (-4)\/10*(-40)\/o. Let d = s - 4. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 414*g**3*m**2 - 1842*g**3*m*z**2 + 2*g**3*m*z - 16385*g*m*z**2 - 141138*m**2*z**2 wrt m?\nAnswer: 828*g**3 - 282276*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, r: 7, v: 1, n: 6}. Give prob of sequence xnn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 92466*o - 2*o**3 - 92477*o - 5*o**3 + 2*o**2 in the form g + b*o**2 + k*o + a*o**3 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001010000 (base 2) to base 8.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -19. Suppose -2*a = -4*w + 8, 2*a = 3*w + s - 6. Solve w*k = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 52 = 4*k + 2*u, -4*k - 3*u - 70 = 0. Calculate the remainder when 7 is divided by (21\/(-14))\/(6\/k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 707\/3 or -260?\nAnswer: 707\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.15, 0, -1\/2, -1565 in decreasing order.\nAnswer: 0.15, 0, -1\/2, -4, -1565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1 - 2 - 5*z**2 - 11*z**2 - 4*z + 15*z**2. Calculate v(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, 3, 21, 55, 111?\n\"Answer: f**3 - f**2 + 4*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggug when four letters picked without replacement from uuuuuguuuugguu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/517230 and 131\/551712.\nAnswer: 8275680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/5184*80)\/(7\/756)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1329456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 757 + -491. What are the prime factors of u?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/7 (b) -4 (c) -15.77 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 3*g - m + 22, -g = -5*m + 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1060 + -3181\/3. Let r = 0.9 + -1. Let t(l) = -l**2 + 6*l - 4. Let q be t(6). Which is the nearest to r? (a) q (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x - 2300564 = -2297574 for x.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*n + 14. Let m = n + -4. Suppose 0 = -m*c - 11 + 81. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 6*p - 3*p - 12, -3*p = 4*f - 21. Let j be 1*(p - 8) - (-17 - -1). Solve 4*q + 4*a = -12, 5*q = -4*a + 3*a - j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 - 1)*(-3 - 2 - 1) + 5 + 0 + 6 - 4 - 3 + 6)*(-16*p + 36*p + 6 - 18*p) to the form l*p + b and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*p - 5*p. Let r be ((29 - 2)*-2)\/p. Calculate the highest common divisor of r and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*z - 20*z + 45500000. Round z to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -4, 0, 9 in increasing order.\nAnswer: -4, 0, 1, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3659037 is divided by 224?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 11:21 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 133 - 136. What is the nearest to 1\/4 in -2\/5, h, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - j = 4*j + 5, -21 = 3*g + 3*j. Let u(x) be the third derivative of -x**4\/24 + x**3\/2 + 2*x**2. List the prime factors of u(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105187 or -105173?\nAnswer: -105187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 13*t - 153 - 9 - 23*t.\nAnswer: -2*(t + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/98 and -85\/686?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s**(-3))\/s*s**1)\/((s*s**(-7)\/s)\/s**6) assuming s is positive.\nAnswer: s**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -7*l + 4. Find the second derivative of 0*f**4 - 3*f + l*f**4 - 4*f + 6*f**4 wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3215642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 1422?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6. Let w(v) = -3*v + 6*v + m*v - 8. What are the prime factors of w(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 9*k**2 + 11*k - 3. Let v be (-236)\/(-28) - 6\/14. Let x be p(v). Is (-7)\/x + 28\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 456 + d - 455 - 6*d + 4*d**4 + 3*d + 5*d**4 - 5*d**3 to g*d + q*d**2 + k + m*d**3 + v*d**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71300 and 40920.\nAnswer: 4705800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**3 - 25*s**2 + 37*s + 248. Is k(17) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*y, -3*y + 10 = -0*y + o. Let g = -6 + 7. Let a be g*(3 + -2 - -2). Solve y*k - 8 = a*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 32*h - 13613. What is l(136)?\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(0\/(-1) + -375). Suppose -48*k = -100*k - 374*k. Suppose k = -2*b - 3*b + r. Calculate the remainder when b is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*g - 159 - 228 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1130.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -0.19?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 333522*i**2 - 291937*i wrt i?\nAnswer: 667044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7944129 rounded to the nearest ten thousand?\nAnswer: 7940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342966575?\nAnswer: 5, 7, 379, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 651?\nAnswer: 4557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 178050944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000 (base 2) to base 7.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -2. Suppose 0*r = -2*r - 4*s + t, 15 = 2*r - 5*s. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*n*t + 8137*n + 223*t with respect to t.\nAnswer: -7*n + 223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -44. Let s = w + 262. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-185)\/(-40)*1142*(0 - -1*4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -10*u**3 + 3*u**2 - 3*u + 4. Let r(y) = y**3 - y**2 + y. Determine -j(l) - 3*r(l).\nAnswer: 7*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63083784738474 + 1?\nAnswer: 63083784738475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10471473, -10471471, -10471469, -10471467, -10471465?\nAnswer: -10471463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*z + 116, -496*z - 3*q = -479*z - 118 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -3*q + 22, 2*o + 0*q + 2525 = -2*q + 2493 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/235 and -27\/25.\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {q: 3, g: 2, l: 2, k: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -1 (c) -38\/25 (d) 8 (e) -5 (f) -5\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**15*n*n**(8\/7))\/((n**(-15\/4)\/n)\/n**(22\/3)) assuming n is positive.\nAnswer: n**(2455\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3*k + 5 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -647*w**3 - 412 - 542*w**3 + 410 as n*w**3 + u*w**2 + s*w + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*j = 0, 5*p + 10 = -7*j + 2*j. Let q(y) = -15*y**2 - 14. Let x(h) = -8*h**2 - 7. Give p*q(b) + 7*x(b).\nAnswer: 4*b**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138 - 73*a**3 - 445 - 64*a**3 + 135*a**3.\nAnswer: -2*a**3 - 583","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2217696 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**6\/120 + k**5\/40 - k**4\/4 - k**3 + k**2. Let l(y) be the first derivative of o(y). Factor l(b).\nAnswer: 3*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20732561 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-5))\/(b\/b**0)*(b*b\/(b*b**(-6))*b*b)\/(b*(b*b**(-2\/5)\/b)\/b)*((b*b\/(b\/b**(-1\/2)))\/(b*b*b**(-1\/9)*b*b))**(20\/3) assuming b is positive.\nAnswer: b**(-2456\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 117 - 213. Let y = -6 + k. Is 60 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 18*s - 41. Calculate v(-12).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 1532*t**2 + 9164*t - 168 = 0?\nAnswer: -6, 7\/383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eze when three letters picked without replacement from ezzzzez?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 898146654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32\/3 or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4049.\nAnswer: 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 31, 120, 297, 592, 1035, 1656?\nAnswer: 2485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*t + 435, 5*t - 4*s - 7 = 727. Suppose 3*h - 286 = -5*b, -5*h = b - 316 - t. Calculate the remainder when h is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 - u - 2. Let v be x(-1). Suppose v*s - 4*g - 194 = 0, 0*g - 2*g + 378 = 4*s. List the prime factors of s.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) 1 (b) -8\/65 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 + 87.963. Let g = 2144279.96300092 - 2144280. Let o = g - n. Round o to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122998 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4}. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -783\/11 - -71. What is the closest to 0 in 3, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a - 3. Let z be s(-2). Suppose -2*c = z - 3. Is 24 + 4 - (-1)\/c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 88*m**3 + 672*m**2 + 2048*m + 2048.\nAnswer: 4*(m + 2)*(m + 4)*(m + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 42, -0.09, 544.\nAnswer: -2, -0.09, 0, 42, 544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23555576 + 23555441.99931. Let q = 217 - 83. Let p = c + q. Round p to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 4, 23 = 3*o + 5*f - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6794995, 27179972, 61154931, 108719866, 169874771, 244619640, 332954467, 434879246?\nAnswer: 550393971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41355750?\nAnswer: 2, 3, 5, 67, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = -8. Let b(v) = 0*v + o*v**2 - v**2 + 0*v. Let w(m) = -4*m + 4*m - 5*m + 4*m. Give b(w(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -189\/5*t**2 - 48\/5*t**3 + 192\/5 + 48\/5*t - 3\/5*t**4 = 0?\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-11)\/p*p*p))\/p**(4\/13)*(p**7)**(-24) assuming p is positive.\nAnswer: p**(-2045\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*m**3*w**3 + 326*m**3*w + 15751*m**3 - 2*m**2*w**3 + 165*m**2*w**2 + 6*m**2 - 4*m*w**3 + 3*w**2 + 86*w wrt m.\nAnswer: -90*w**3 + 1956*w + 94506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by -22\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211112011 (base 3) in base 10?\nAnswer: 36103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a century in months?\nAnswer: 12720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 17 = -y, 4*b = 7 + 13 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 441*t - 1350.\nAnswer: 3*(t - 3)*(t + 150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10876 + -10873. Put -2, 4, u, -0.2, -0.04 in descending order.\nAnswer: 4, u, -0.04, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*t**3 + 15*t**3 - 17*t**3 + 13*t**3 - 42*t**3 - 21*t**3 + t**3 + 3*t**3 - 2*t**3 + (2*t**2 - 2*t**2 + t**2)*(-t - 1 + 1).\nAnswer: -76*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000363629342 rounded to 7 dps?\nAnswer: 0.0000364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*d = -1, 4*f - d = -f + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-7 + (13 - (7 + -7)) - -2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34)\/70 + (-26)\/(-91). Suppose q - 3 = -1. What is the second biggest value in a, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -793.00367 - -793. What is d rounded to 4 dps?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3942, -7875, -11802, -15723, -19638?\n\"Answer: 3*q**2 - 3942*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 291?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3, 1\/9, -2\/7, -0.4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-125)\/(-10))\/(-5)*2\/(-3)*(-2694)\/898.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 648 + -642. Let b = 28 + -14. What is the least common multiple of b and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 17*f**2 - 38*f + 13. Let s be q(19). Suppose -8 = 2*n, 9*z + 7392 = s*z - n. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - (-3 + 4 - 2)*-4. What is o in -16*o - 15*o + a*o**2 - 6 + 28*o = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p + 13*p + 6*p - 1.\nAnswer: 12*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 4, -2896, 1, 236 in decreasing order.\nAnswer: 236, 7, 4, 1, -5, -2896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 59212 divided by -524?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373453?\nAnswer: 373453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -x + 4*s, 5*x - 40 = -s - s. Solve -x*t + 13 = 31 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 334 + -130. Suppose -4*h + 5*q + a = -h, 0 = -h + q + 68. Is h a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((4\/(-1))\/(-1))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2490, 2943, 3388, 3819, 4230, 4615, 4968, 5283?\n\"Answer: -a**3 + 2*a**2 + 454*a + 2035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 55*o - 51*o + 191, 2*o + 8 = 0. Calculate the highest common factor of 2060 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 10. Let b = -3 + j. Sort 1, 3, b in increasing order.\nAnswer: b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110373337?\nAnswer: 19, 5809123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 7:20 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -3, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 11*q - 440 = 0. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22768 (base 9) to base 15\nAnswer: -478e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 2)\/((-3)\/33) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 194 - 190. What is the remainder when 4\/t*(-3 + 13) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 89\/878?\nAnswer: 89\/878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 5*w + 4*w + (2211 + 93*w - 2211)*(-3 + 1 + 4) + w + 3 - 4 + 0*w as q*w + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -4. Let i(j) = -630 + 635 + j**3 + 3*j**2 - 14*j**2 + j - j. Let t be i(u). Solve -11 = t*o + 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 + 35*a - 4. Let q be y(-8). Is -186\/7 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-1)\/(-12) - -9*(-1)\/(-4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + 3*u - 3*u + (-4 + 4 - 2*u**3)*(-u + 2*u + 0*u) - 3392*u + 1719*u + 1745*u - 7*u**4.\nAnswer: -10*u**4 + 72*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 43 + 3*b**2 + 8*b + 16*b - 2*b**2. What are the prime factors of o(-26)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3494 + -1440. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 10 + 9. Let g be (-3)\/3 - v*(-6 - -2). Let x(h) = -h - 2. Calculate x(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (566\/(-6))\/((-620)\/(-465)). Which is bigger: -72 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 92, 155, 218, 281, 344, 407?\n\"Answer: 63*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h. Let q = -57 - -113. Suppose c - q = -j + 4*j, 3*c = 5*j + 176. Let m(f) = 62 - c - f**2. What is m(b(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 583*q = 585*q - 38 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**8\/6720 + 7*r**5\/120 - 3*r**4\/2 - 12*r. Let u(m) be the third derivative of y(m). What is u(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5 = -4*f, -f - 25*k - 106 = 56 - 37 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 561 = 8 - 11 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-11 + 19 - 9 - 12) + -50.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -225.000000246 + 225. What is v rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgovogg. Give prob of picking 1 g, 1 x, and 2 o.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111 - 129. Let n = -15 - b. Suppose 6 = -n*s + 5*s. Solve 0*m - m - 3*d = -8, -3*m + s*d + 12 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iatiaaiaii. Give prob of picking 3 a and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x = 17*x + 6*x + 405 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47.00034 - 47. What is g rounded to five dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 84*s - 90*s. Suppose 2*p - 3*p - i = 2, -4*p + 4*i = -8. Let g = 16 - 12. Put s, p, g in descending order.\nAnswer: g, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.07096*0.05\nAnswer: 0.303548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -81\nAnswer: 4\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(6)*2 - (sqrt(5) - (1 + sqrt(320) + sqrt(320)) - sqrt(5)).\nAnswer: 1 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 0, -4, 17 in descending order.\nAnswer: 17, 0, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -19. Let h = 11 - k. Which is the third biggest value? (a) h (b) 1 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + i - 3, -19 + 7 = -r + 2*i. Suppose -7*l = -r*l - 2*t - 4850004, -5*t = 2*l - 1939990. Round l to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/r**(-1\/2))\/(r\/(r**(-3)\/r)))\/(r**(-8)\/(r**(-6)*r)))\/((r**(-1\/8)\/r*r)\/r**(-1\/10)*(r*r\/(r**(-1)\/r))**16) assuming r is positive.\nAnswer: r**(-2539\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -123031 (base 4) to base 13\nAnswer: -a3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/101426 and -11\/332.\nAnswer: 202852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 2 + h**2 - 4*h**2 - 3*h + 4*h**2. Let w be q(6). Solve -l + 1 = w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.8 - 24. Let f = t - 3. Let m = 5.54 - -0.46. Which is the second biggest value? (a) m (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.069817787 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1334\/3*p**2 - 148 - 887\/3*p - p**3.\nAnswer: -(p - 444)*(p - 1)*(3*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1 = 3*c. Let w be c\/3 + (-11)\/(-3). Solve -4*l - w*h = 4, -5*l - 2*h + 0*h = 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-80)\/(-42))\/(-5))\/(1428\/64974)\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1831212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - s**2 - 9*s + 13. Let x be c(-5). Suppose -k + 84 = -5*r, -2*k - 8*r = -13*r - x. Is 24 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -h + 9026, 0 = -l + 2*h - 4*h + 3002. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 26 - 19 = -s + 5*s, 2*s + 30*c = -919 + 649 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iggixifxixggiili. What is prob of sequence fixi?\nAnswer: 3\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 496, 493, 494, 499, 508, 521, 538?\n\"Answer: 2*n**2 - 9*n + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*u + 175*u + 200*u - 32*u)*(-110*u**3 + 49*u**3 - 108*u**3).\nAnswer: -50700*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -344\/3 + 113. What is the common denominator of -10\/33 and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5008220 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 459489 and 1069619.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 445*c**2 - 4765*c + 40. Give u(11).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tknt when four letters picked without replacement from {k: 3, n: 1, t: 4}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(q**4 - q**4 + 2*q**4) + (-2*q**2 + 0*q**2 - 3*q**2)*(-q**2 + 3 - 3) - 2*q**4 + 4*q**4 - q**4 + (-2*q**3 + 5*q**3 - q**3)*(2*q - 3*q - 3*q).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.1 (c) -2\/5 (d) -1.88\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2866 - -2862. Sort -8, s, 0, 5 in decreasing order.\nAnswer: 5, 0, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-340)\/17*9\/(-72)*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/607 in -18, 0, 2\/23, 3.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**4\/8 + 28*d**3 + 2352*d**2 + 87808*d - 288. Factor x(i).\nAnswer: (i + 56)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 3 - ((-19 - -1) + 221 + -163)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -76. Let s(p) = p**2 - 11*p - 18. Does 3 divide s(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 10 = 4. Let o(i) = -3*i + 13. Let j(d) = 7*d - 26. Let q(f) = a*j(f) + 5*o(f). Let z be q(12). Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in 0.15, 1, -1\/3?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002179 to 5 decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137a9 (base 14) to base 12.\nAnswer: 23a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2575 = -22*c + 2881. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 + 5*m**2 - 14. Give o(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52902 divided by -6?\nAnswer: 8817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*d + 324. Suppose 4*j + g - d = 0, 3*j - 4*g - 46 = 29. Suppose -4*z - l + j = -6*l, 0 = -z + 2*l + 6. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -1\/4 (c) -71 (d) -2\/69 (e) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**5*x + 10*g**3*x**3 + 2*g**3*x**2 - 4*g**2 - 4*g*x**3 + 4*g*x**2 wrt g?\nAnswer: 180*g**2*x + 60*x**3 + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.35 + -0.85. Let c be 45224\/(-198) - (-11)\/(198\/4). Let a = -228 - c. Sort -3, k, a in increasing order.\nAnswer: -3, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -4. Let f(v) be the third derivative of -1\/150*v**5 + 0*v + 1\/525*v**7 + 0*v**6 - 2*v**2 + 0*v**3 + 0*v**4 + p. Let f(x) = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1 = 3*p - 71, 4*g = 4*p - 40. Suppose 0 = p*i - 1555 - 965. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/253 (b) -0.21 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66641242 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 895 + -470. Is 65 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*38848\/(-24128) + 21?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/67, -27, 0.3, 1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 23*h**2 - 9*h - 31. What is the tens digit of i(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732565?\nAnswer: 5, 146513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (203\/(-504))\/((-2)\/8) and ((-2)\/24)\/((-2)\/(-332))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2325, 2324, 2323, 2322, 2321, 2320?\nAnswer: 2319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 714847, 1429691, 2144535, 2859379?\n\"Answer: 714844*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 199*b + 1677240 - 5357347. Is 64 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -12. Let s(h) = -h + 2. Let u be s(o). What is the units digit of (1 - 0) + u\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**4 + 178082*l**3 - 1780662*l**2 + 3739302*l = 0.\nAnswer: 0, 3, 7, 89031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56626, 113248, 169870, 226492, 283114, 339736?\n\"Answer: 56622*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000010 (base 2) to base 7.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 2148*m**2 - 311936*m + 2358528.\nAnswer: -(m - 1992)*(m - 148)*(m - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 41*z**3 - 27*z**3 + 20*z - 4*z**2 - 18*z**3 - 12 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4315245.658 to the nearest ten thousand.\nAnswer: 4320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -415238\nAnswer: 415237.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 3 - 6*o**2 - 2*o - 4 + 0*o + 3. Let n be k(-6). Suppose 0 = 5*m + a - n, -4*a = m + 2 - 1. Solve -4*d - 3 = -m*h, -h = 3*d + 16 - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8166343, -3 in decreasing order.\nAnswer: 1, -3, -8166343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 800098.5 litres?\nAnswer: 800098500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(243) + 2 - -5*(sqrt(243) + -1)) + -4 + (((sqrt(243) + -1)*1)**2 + sqrt(243) - sqrt(243))*1.\nAnswer: 18*sqrt(3) + 237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-160)\/(-32)*(-4)\/(-20). Which is bigger: w or 1\/118?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 157.0434 litres?\nAnswer: 157043.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49948140 is divided by 70?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + h**3 + 2*h**3 + (0*h**2 + 5*h**2 - 4*h**2)*(-2*h + h + 0*h) + (-286 + 286 - 184*h**2)*(-2*h + 0*h + 4*h).\nAnswer: -368*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1. Suppose -102 - 23 + 8 = -117*b. Let j(n) = -n + 13*n - 2*n - 5*n + 30. Calculate b*j(x) - 30*s(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 29\/5 of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*a**3*d**3*z**3 - a**3*d**3 - 7*a*d**3*z - d**3*z**2 - z**3 wrt a?\nAnswer: 102*a*d**3*z**3 - 6*a*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 16*d**2 - d + 39. Let p be j(16). Suppose -70 = -p*i + 9*i. Let h(v) = -6*v + 5. What is h(i)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, m: 1, l: 4, c: 5}. What is prob of picking 1 c and 2 l?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 303*t - 6670. Give r(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3397\/656709 - 2\/1437. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1844 (base 12) in base 15?\nAnswer: -d07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4973 divided by -1?\nAnswer: -4973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1249, -4739, -10557, -18703?\n\"Answer: -1164*q**2 + 2*q - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 6. Let v be g(-8). Suppose v*n - 42 + 2 = 0. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 0.32 (c) -2 (d) 1\/6 (e) -5 (f) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.03 - -0.03. Let w = 111.9 - 112. Is w greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661417?\nAnswer: 661417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.94 times -0.3\nAnswer: -0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77541*y**6 + 20*y**2 - 2343 wrt y?\nAnswer: 9304920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let r(m) = 3*m - 41. Determine -5*j(d) + r(d).\nAnswer: -2*d - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 447685913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 1311*m + 7.\nAnswer: -1311*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**7\/945 - g**6\/540 + g**5\/270 + g**4\/108 + 7*g**2. Solve z(l) = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f*f**(-1)\/f*f)**44 assuming f is positive.\nAnswer: f**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1539) - (sqrt(1539) + sqrt(1539) + -6*(sqrt(1539) - (-1 + sqrt(1539)) - sqrt(1539)))**2).\nAnswer: -98530 + 873*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57036 and 456288.\nAnswer: 456288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -24\/5361011?\nAnswer: -24\/5361011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**33\/(q**(1\/3)\/(q*q*(q\/(q\/(q*q*q\/((q*q**(1\/5)*q*q)\/q)*q)))\/q))*q**44\/q**(-39) assuming q is positive.\nAnswer: q**(1777\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25*(-4)\/28 + -4)\/(-3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -117.4391 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.35 + -0.14. Let i = -0.02 + 0.03. Let x = q - i. Which is the second biggest value? (a) 3 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-198)\/(-63) - 1\/7. Suppose 3*y - 4*d = -9*d - 11, 5*y = -4*d - 1. What is the highest common divisor of y and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.788012mm in meters?\nAnswer: 0.008788012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*v - 6 = 0, -2*s = 2*s - 4*v - 28. Suppose f + f - o - 114 = 0, f + 3*o - 43 = 0. What is the greatest common divisor of f and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5 + 2 + 3*c as s*c + q and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q - 8. Does 27 divide x(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9228.738ug?\nAnswer: 0.000009228738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + 15*j**2 - 12*j - 139. What is r(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 1. Let l(y) = 20*y**2 - 3*y - 6. What is l(z) - 3*s(z)?\nAnswer: 20*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 11. Let y be 13 - (2 - -1)\/3. Let j be v(y). What is the remainder when (-1)\/(162\/(-159) - j) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -17 - 21) + 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -11100010?\nAnswer: -11011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m - 4. Suppose 0 = 3*l + 4 - 25. Let o(k) = -3*k + 5. Calculate l*r(j) + 6*o(j).\nAnswer: -4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 50 = -l + 2*l, -4*l + 125 = -3*y. Suppose -8*h = -3*h - l. Suppose -h*t + 726 = 236. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 9*h**2 - 6*h + h**3 + 6*h**2 - 3. Let n be 4\/(-18) - 228\/(-54). Determine r(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -78, -55, -12, 57, 158, 297, 480?\n\"Answer: c**3 + 4*c**2 + 4*c - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 plus 692.9103445117?\nAnswer: 693.2403445117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*k + 536, 33*k - 35*k = 2*g - 1096. What is the highest common factor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 216125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -33511, -67010, -100509, -134008?\n\"Answer: -33499*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*n + 46, 0*n + 5*n = -4*j + 53. Let w = -0.205435 + -0.294565. Which is the closest to -3\/2? (a) 0.3 (b) n (c) w (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 518 = -524 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*y + 4*g, 4*y = 2*g - g + 4. Suppose 2*h - 2*o = -3*h + 34, -4*h - o + 35 = y. Suppose 3*w - 4*p = h*w - 497, -3*p + 494 = 5*w. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sum -3144332 and -2.3.\nAnswer: -3144334.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204173 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 a, and 2 r when four letters picked without replacement from {l: 1, g: 2, a: 3, d: 4, r: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -23*s**7\/2520 - 23*s**4\/24 + 13*s**2. Let u(d) be the second derivative of k(d). Let w(j) = 3*j. Determine w(u(z)).\nAnswer: -69*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1\/3, -3, 0.2, 0.5 in descending order.\nAnswer: 11, 0.5, 1\/3, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -14*r**3 + 2*r**2 - 155*r + 485. Let k be v(3). Let y(p) = -204*p. Let n(u) = -u. Calculate k*n(c) + 2*y(c).\nAnswer: -68*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*f + 2*d + 32, -3*f - f - 20 = 2*d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 71 - 152308*g**2 + 39.\nAnswer: -152308*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -6) + -1 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 35, 22, -7, -58?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -110*s - 1. Let n be t(-2). Suppose -5*x - 2*i - 43 = -n, 4*i + 188 = 5*x. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -17. Let x(h) be the first derivative of 0*h**2 + 1\/4*h**v + 1 + 2*h + 5\/3*h**3. Give x(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-2892)\/9)*(-5 + 20). Suppose y = 14*d - 3722. What is the highest common factor of d and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/5, -9, 1\/823, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3500, -6996, -10484, -13964, -17436, -20900?\n\"Answer: 4*b**2 - 3508*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6862*p - 372570 = 87184 for p.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -162.5? (a) 6018 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1647+0.04804\nAnswer: 1647.04804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -9. Suppose 3*q = 2*p + 27 - 1, -40 = -4*q + h*p. Let k(j) = 2*j - 9 + 9 - 5*j - q. Determine k(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.22 - -22.22. Let g = 20.7 - i. Let r = g + 1.29984. Round r to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m - 7 = -2*t, 5*m - 7 = -t. Suppose -m = p - 6. Suppose h = p*h. Solve h*b + 2*b - 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 280591*h**2 - 15679*h - 17?\nAnswer: 561182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w**3 - 2*w**2 - 2*w. Determine n(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55372 is divided by 195.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g - 3*g + g - 3*g. Let d(q) = 2*q**2 - q + 1. Let f(i) = i**2 - 4*i + 1. Let y be f(4). Let k(b) = y*d(b) + x(b). Differentiate k(p) wrt p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 55 = -429*l + 507 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((42\/(-18))\/(-7))\/(72\/64*4)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(2*h - 1 + 1)*(-4 - 2*h + 4).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 0*j + 20. Let m be ((0\/1)\/(-2))\/(-2). Let p be (m - (1 - 0)) + j. Solve 0 = -p*w + 6, -2 = 6*b - b + 4*w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4044 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from {h: 1, f: 1, n: 4, j: 7, c: 4}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*i - 0*h + 1735, 1157 = 2*i - h. Let m = 982 - i. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 26 = -5*f + 3*s, -f = s - 10. Let i = 15 - f. Let a = i - 6. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 33 - 18*d**2 - 33 + (3*d + 18 - 30 + 15)*(0*d + d + 16*d) in the form m*d**2 + i*d + a and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 5 = -3*s. Suppose 10 = u - s. Let a = -37 + 73. What is the remainder when a is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pipipgrjji. Give prob of sequence ipr.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 1 + 192\/126. Let x = 4\/21 - j. Let x*c + 0 + 2\/3*c**2 = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r - 25. Let x be y(5). Suppose -2*w + 239 = -4*c - 335, 4*w + 2*c - 1148 = x. Let z = -108 + w. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 7, -1 in descending order.\nAnswer: 7, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/6*1*4. Suppose 3*x - 18 = -0*x. Let i = x - d. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -250 + 177. Let n = -75 - d. Which is the nearest to 0.5? (a) -0.5 (b) n (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/10 + (-112)\/(-10). Let o = 9 - r. Let w be -2*(-3)\/(-1)*o. Solve 2*m - 2*c - 2*c + w = 0, 2*c - 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -7, -5 in decreasing order.\nAnswer: 2, -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 323156 = 103975. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-35) - (-2 + (-1350)\/(-21))\/(-2). Which is the nearest to -7? (a) x (b) -0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57342 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, d: 6, j: 9, v: 1, f: 1}. Give prob of sequence xvd.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*z + 732, -z - 99*m + 246 = -97*m. What is the remainder when z is divided by 69?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -187 - -208. Suppose -3*y + 18*w = g*w - 3255, w - 5 = 0. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33400 - 2333?\nAnswer: 31012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 2, -128, -11, -9 in decreasing order.\nAnswer: 2, 1, -4, -9, -11, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 591 + -407. Suppose 0 = -5*d + 3*s + t, -28 = 4*d + 5*s - 153. Suppose 0 = 5*l - d - 215. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*r = -387, 4*r + 416 = -3*s + 64. Let w be 11\/s - (280\/32 + -9). Is w at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:24 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 54 = 5*b, 0*l = l - 1. Suppose 0 = -3*v - v + t + 88, 2*t = 2*v - 44. What is the lowest common multiple of v and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7 = 1. Suppose -5*f + 20 = 0, -4*q + 293 = j*f - 235. Does 26 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 5892?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29125, -29126, -29127, -29128?\nAnswer: -29129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13030 divided by 12?\nAnswer: -6515\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -55\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -777391 - 4122609. What is y rounded to the nearest 100000?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -31*j - 4. Let n be (-13 - -1)*1\/2. Let d be u(n). Suppose 3*g + 5*a - d = 98, -a - 335 = -4*g. What is the highest common divisor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 16. Let r be (-5 + 2)\/(3\/(-2)). Let c(b) = 2*b**x + r - b**3 + 4 - 6*b**2 + 7*b. Determine c(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1.3. What is the third smallest value in o, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.734 - 2.234. Let c = -6.26 - -6. Let w = 0.36 + c. What is the biggest value in 6\/5, w, r?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/106)\/((-12)\/(-16)). Let a = k - 1609\/477. Calculate the common denominator of 95\/6 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 477470 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-0.048\nAnswer: 0.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 + 35 + 31 - 3*s + 22.\nAnswer: -3*s - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10494 by -6.\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2079.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 6:22 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101010001001010011000 (base 2) in base 15?\nAnswer: 751e30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 166 = -4*c, -4*c - 3*i + 1015 = 1186 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1401*d**3 + 471*d**3 + 917*d**3.\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 157*h - 21. List the prime factors of r(15).\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -42. Let o(y) = y + 60. Let i(u) = 2*u + 119. Let w(z) = -6*i(z) + 13*o(z). Calculate the remainder when w(b) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -154*x**2. Let v(m) = -299*m**2. Give t(v(l)).\nAnswer: -13767754*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110020220 + -12?\nAnswer: 110020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24794 and 759253?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h - 4*h**2 + 10*h**2 - 4*h**3 - 6*h**2.\nAnswer: -4*h**3 - 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1086*(2\/(-5))\/(21\/(-35)). Suppose z - 308 = 3*o, 4*o - 306 + n = 5*z. Let g = 146 + o. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 188 in 2\/11, 1\/4, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 3\/8 (c) 0.1 (d) 0 (e) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from rcgerggcg.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(11\/4)\/n**(-9\/5) assuming n is positive.\nAnswer: n**(91\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 6272 = 4*o, o + 7*h + 7840 = 6*o. Is 32 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*r**3 + 39*r**2 - 468*r - 7?\nAnswer: 180*r + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -796 + 1092. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*u - 8 = 0, -17*u + 14*u + 20 = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*m - m**3 - 2*m**3 + 29*m - 2*m**4)*(1 - 2 + 3).\nAnswer: -4*m**4 - 6*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 3*g - 4*g)*(-g**2 + 2*g**3 + g**2 + (-g**2 + 4*g**2 - 4*g**2)*(24*g - 3*g + 0*g)).\nAnswer: 19*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**3 - 10*k**3 - k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4*l - 5 = 0, l = -65*h + 64*h + 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 6*l + 66 = 5*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k + 30. Let b be w(-8). Suppose -18 = -4*z + 13*a - 8*a, 0 = -5*z - 2*a + b. Let f(p) = -3*p + 1. Let c be f(-1). Solve -6 = -c*h + z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -17, 1 in descending order.\nAnswer: 1, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2ec6 + 1e?\nAnswer: 2ee4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l - 66 = -266 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 1 - 0) + 5 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 3 - 3)*(1 + 2 - 4) - m - 2*m + 6*m + (0*m + m + 0*m)*(-1 - 2 + 1) + m - 2 + 2 + 0*m - 4*m + 3*m + (4 - 1 - 1)*(-2*m + 4*m + 0*m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2812 - -2783 - (-13 - -1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10)*2\/(-4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 70568 + -92?\nAnswer: 704a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**3 - 155*s**2 + 1275*s - 1125 = 0 for s.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 327 - 57 = 0. Suppose 0 = d + 3*d + g. Let k = 53 + d. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3*j**4 - 16*f**3 + 1116*f*j**5 - 178*f*j wrt j?\nAnswer: 24*f**3*j**2 + 22320*f*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51377017, -102754035, -154131055, -205508077, -256885101, -308262127, -359639155?\nAnswer: -411016185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4562910 to the power of 1\/2, to the nearest integer?\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*a - 28*a = 113*a + 6448 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + -1)*5.\nAnswer: -5 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2250 = 15*l - 0*l. Calculate the lowest common multiple of 13 - ((-30)\/6 - -9) and l.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 46. Sort 0.3, 3, k in descending order.\nAnswer: 3, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098.715 minutes in seconds?\nAnswer: 185922.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**4)\/((h\/h**(-6))\/h)*(h**0\/h)**23 assuming h is positive.\nAnswer: h**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4. Let b(m) be the third derivative of 0 - 1\/6*m**3 - 2*m**2 - 1\/60*m**5 + 0*m + p*m**4. Differentiate b(a) wrt a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*d - 0. Suppose 5*f - d*u = 1, 7*u - 4*u - 9 = 0. Let i be (-2 - 12\/(-10))\/f. Is 5 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 736.1417 years in months?\nAnswer: 8833.7004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/11, -4, 3\/7, 7, -2\/9 in descending order.\nAnswer: 7, 3\/7, -2\/9, -12\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-5))**(-12\/11)\/(l*((l**(-1\/3)*l)\/l)\/l)**(-21) assuming l is positive.\nAnswer: l**(-29\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -453*k**2 + k + 3. Let x be m(-3). Let q = x - -5924. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -210*k**3 - 265*k. Let q(p) = -19*p**3 - 24*p. Let o(f) = -4*j(f) + 45*q(f). What is the second derivative of o(n) wrt n?\nAnswer: -90*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -703, -686, -659, -622, -575?\n\"Answer: 5*w**2 + 2*w - 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 1\/12*i**6 + 11\/12*i**5 + 2 - 30*i**3 - 5\/2*i**4 - 135*i**2 - 1\/42*i**7 + 0*i. Solve x(s) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + -4)*-6*1\/(-3). Suppose 0 = m*f - 65 - 79. Solve -4*q + 6*v = 3*v - f, 4*q - 4*v - 28 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1209 - -1092.3. Let d = 10.7 + p. Let w = d - -105.99999949. What is w rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9*z**2 + 6*z + 195. Let p(h) = 7*h**2 - 5*h - 156. Let i(q) = -4*n(q) - 5*p(q). Let j(t) = -20*t**2 + 8*t. What is -8*i(a) + j(a)?\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from uojjdjjjojcdcucojooc?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -4\/7 (b) -4\/3949 (c) -1.1 (d) 5 (e) -3 (f) -1 (g) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11100111111110110010011 (base 2) to base 11\nAnswer: 4322185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 144.531 - -0.39.\nAnswer: 144.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.850046 - -7.864. Round c to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1216\/(-380)*((-7)\/12)\/7\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**4 - 2*c**3\/3 + c + 1. Let w be r(1). Let d(s) = s + 2. Calculate d(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61219766*-1.2.\nAnswer: -73463719.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2 + 6. Suppose 3*j = -v*j. Is 6 a factor of 48\/4 - j\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 9:29 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -440a741 + -19?\nAnswer: -440a75a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 17, -12, -8\/5, -2\/495, -1?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 11:36 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5452, 5530, 5686, 5956, 6376, 6982, 7810, 8896?\nAnswer: 10276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7)*(-9)\/(-6). Suppose -z = -8*w + 3*w - 22, 3*z - 4*w = 11. What is the nearest to -2 in r, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:48 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3.2. Let a = g - -1.8. Let s be (-246)\/24 - 3276\/(-624). What is the third smallest value in 4\/7, s, 2\/5, a?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 2) + -1 - 10. Let c(t) = -t**3 - 13*t**2 - 13*t - 11. Let h be c(g). Solve 2*o = 7 - h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 100111010010?\nAnswer: 100111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 4:14 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**3\/3 + i**2 - 3*i - 237. Determine t(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35.26*-1827\nAnswer: 64420.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 9*m**2 - 3*m + 9. Let p be w(-9). Let s = p - 32. Suppose 11 = 2*n + 3*n - j, 20 = s*n + 2*j. Solve -y - 12 = n*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at least -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -416*m. Suppose -y + 90 = 12. Let i = -80 + y. Let c(g) = 13*g. Let u(n) = i*o(n) - 65*c(n). Let p(f) = 4*f**2. Calculate u(p(j)).\nAnswer: -52*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**3\/3 - s**2\/2 + s - 1. Let h(d) = 3*d**2 - 2*d + 1. Let n(v) = 4*f(v) - 2*h(v). Differentiate n(g) wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -911743*v + 1543015 with respect to v.\nAnswer: -911743","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 0*i - 2095. Suppose 5*j + t - i = 6, -5*j + 445 = -3*t. List the prime factors of j.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8490\/31 - 1371443\/5022. Find the common denominator of l and -25\/54.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -267 + 275. Let z(g) be the first derivative of 1\/2*g**u + 3 - g**3 + 0*g. What is the second derivative of z(s) wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 259760 = -l, 5*s + 0*s - 432936 = -l. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290661 = 8*a + 290813 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 630\/75 - 17 - (3 - 10)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1295 and 33656.\nAnswer: 6226360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1137 and 0.2?\nAnswer: 1137.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 6 - -2 - 0) + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/(((-252)\/(-45))\/4)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1332*c. Let k(p) = 31*p. Determine -259*k(h) + 6*q(h).\nAnswer: -37*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6638161, 6638184, 6638217, 6638266, 6638337?\nAnswer: 6638436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 30899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68128123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 + 681. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from muhmshhutupmt.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 10*f**2 + 10*f + 14. Let w be r(-9). Let v(g) = g - 3. Let j be v(6). Let h(q) = -3 - w*q**2 + q**2 + j. Let m(c) = -2*c**2. Give h(m(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/91*42\/(-8))\/(60\/480).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6 + 7*f - f + 3 + f**2. Let n be q(-7). Let l = -1 - -1. Solve l = -n*z - 0*z + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 226*n**3 - 50*n**2 - 14*n - 3844197.\nAnswer: 678*n**2 - 100*n - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149754.8 decades in millennia?\nAnswer: 1497.548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n + n - 4*n + 0*n - 2*n + 4*n + (1 - 1 - 2*n)*(0 + 3 - 1) - 2 + 2 - 2*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 5. Let j(s) = s + 3. Let p(l) = 5*j(l) + 3*o(l). Let f(u) = -u + 185. Let q(k) = 10*k - 925. Let t(d) = -15*f(d) - 3*q(d). Calculate t(p(c)).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -14 + (1 - 3) + 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 1. Let c(o) be the third derivative of o**4\/24 + 4*o**3\/3 + 5*o**2. Let a be c(-9). Give q(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 4*a + 4. Let k be f(4). Suppose -k*n + 1 = -s, -4*n = -5*s - 36 + 95. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**8\/1344 - t**5\/40 - t**4\/3 + t. Let i(k) be the third derivative of m(k). What is the first derivative of i(r) wrt r?\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13\/12 - -5\/6. Let t = -0.8 + 3.8. Which is the second biggest value? (a) -4\/5 (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 15*a - 11. Let q be k(1). Suppose 0 = 2*j + 2*j + 16, -2*l = -5*j - 28. Suppose 36*r - l = 35*r. Solve 5*b - 3*m + r = -m, -q*m = -4*b - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 4*x + 3. Let k be n(-5). Suppose 0 = 5*t - 43 + k. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05163038 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-45))\/(1\/3). Let g = -2 + 5. Suppose 3*n - g = -0. Which is bigger: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*a*s**3 + 95*a*s - 3231*a with respect to s.\nAnswer: -21*a*s**2 + 95*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/((-1625)\/(-117))*(1904\/182 + 24\/(-52))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4563 - 4560. Let s(n) be the first derivative of 0*n**b - 7\/6*n**6 + 0*n - 9 + 0*n**5 + 0*n**4 - 7\/2*n**2. Find the second derivative of s(c) wrt c.\nAnswer: -140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23972 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -3. Let d be (6\/4)\/(1\/j). Let l(b) = 11*b + 6. Let k(i) = 5*i + 3. Let z(g) = 7*k(g) - 3*l(g). Let o(m) = -m - 1. Determine d*z(a) - 8*o(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -1\/4*f**4 + 0*f + 0*f**3 + 2 + 2*f**2. Calculate c(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (185409\/(-108))\/(-109).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -204 + 15. Let f = j + 191. Solve 0 = k + f*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 9*p**5\/10 + 7*p**3\/3 - 3*p**2 + 29*p. What is the second derivative of a(s) wrt s?\nAnswer: 108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 7*c - 2*k = 26, 97*k - 93*k - 6 = -6*c + 20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*-274 + 1. Let w = p + -96. Calculate the highest common divisor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/15 - (-19)\/(-5). Let m be ((-6)\/i)\/(15\/20). Let z be (0 + 5)*(m - 3). Which is bigger: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a7800 (base 11) in base 9?\nAnswer: 257845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 18. Let d be j(-20). Suppose 0 = y + y - 4. Suppose y*o = 7*o - 125. Solve -3*u = d*u - o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2. Let x(f) be the third derivative of -f**4\/6 + 11*f**3\/6 + 22*f**2 - f. Determine y(x(i)).\nAnswer: -16*i**2 + 88*i - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 912 and 222186.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -621*g**3*t**3 - 11373*g**3*t - 3*g**2*t - 126*g*t**5 wrt t.\nAnswer: -3726*g**3*t - 2520*g*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -39. Let p(h) = -h**2 - 8*h - 8. What is p(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 507709\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 62*z + 54*z - 28, 4*z + 20 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132650440?\nAnswer: 2, 5, 13, 255097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -144 - -152. Solve 3*j - d*g = -3*g - 1, -2*g = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 237400921 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*x + 2*x - x**5 + (3*x**2 - 2 + 2)*(x**3 + 2 - 2) + (24*x + 22*x + 14*x)*(-7*x + 7*x - x**4).\nAnswer: -58*x**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 10*c**2 + 9*c - 17. Let k be i(-11). Let n be (-86)\/10 - k\/((-50)\/6). Is 1\/9 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h - 6. Let w(v) = v**2 - 7*v - 3. Let n be w(6). Calculate the least common multiple of h and 20\/(-6)*n\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 + 99. Calculate the least common multiple of q and -11*6*(-1)\/3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 0*s - s)*(11 - 3 + 3*s + 16).\nAnswer: 9*s**2 + 72*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 17*d + 72. What is m(-15)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(g - 2*g**2 - g) - 2*g + g**2 + 2*g + 2*g**2 - g**2 + 3*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -673*v + 1558*v**3 - 3251*v**3 + 1694*v**3.\nAnswer: v**3 - 673*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64 + 637\/(-13))*4\/(-42).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 + 13*m. Let t(j) = -j**2 - 1. Let y(f) = -193*f - 578. Let v be y(-3). Determine v*n(d) + 2*t(d).\nAnswer: 2*d**2 + 13*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1489.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*n = -208*n - 300 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -108 (b) 4 (c) -2093\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (230*m + 7*m - 11*m)*(-1 - 4 + 4)*(-7*m + 3*m + m).\nAnswer: 678*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 18*o**2 + 1. Let n be z(-3). What is the tens digit of n\/4 + (-3)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-10))\/((-2)\/12). Suppose -h*y + 8 = y. What is the second derivative of 3*m**3 + y*m**3 - 4*m**3 + 2*m wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 0.5, 0, -1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97314181?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.389709?\nAnswer: 0.0389709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -72, -59, -32, 15, 88, 193, 336, 523?\n\"Answer: l**3 + l**2 + 3*l - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 9457870574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-8)*(-12)\/(-35))\/(-102*6\/204).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 64, 60, 42, 16, -12, -36, -50?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 h when three letters picked without replacement from {b: 4, h: 4, z: 8}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*((-2)\/6 + (-34)\/(-51))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -1\/6, -15, 34, -3, -2\/5.\nAnswer: -15, -4, -3, -2\/5, -1\/6, 0, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.4641 + -2.398. Round d to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 1. Let v(j) = 2. Let s(d) = -2*t(d) - v(d). Let w(y) be the third derivative of 17*y**4\/24 - 771*y**2. Give s(w(m)).\nAnswer: -34*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/8 (b) 2\/23 (c) 3\/5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -20*m + 33. Let j be u(12). Let k = -68 - j. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 31*x + 1793. Let l(v) = -104*v - 5379. What is -10*g(w) - 3*l(w)?\nAnswer: 2*w - 1793","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1726*w. Let m(b) = b - 16. Determine v(m(k)).\nAnswer: 1726*k - 27616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141 and 1896027.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5378 by 6.\nAnswer: 2689\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-40 - (5 + 8 + -9)) - 8.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 15*x - 42 - 21 = 0. Solve -3\/2*s + 1\/3 - 2*s**4 + 5\/3*s**2 + 2\/3*s**5 + 5\/6*s**x = 0 for s.\nAnswer: -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30.94 - 0.06. Let o = 36 + b. What is the closest to -1\/3 in 4, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*q**5 - 1908*q**4 - 3*q**3 + 727355*q.\nAnswer: -100*q**3 - 22896*q**2 - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1251*y - 1252*y - 18 = 4*c, 4*c = -2*y - 16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212000000020 (base 3) to base 6.\nAnswer: -13411523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5\/4 - 7*x**4 - 14*x**3 + 239*x**2\/2 + 57*x\/4 - 225\/2 = 0.\nAnswer: -25, -6, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 330 - 12?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -h + p, -h - 5*p + 29 = 23 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519242303 is divided by 844?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -0.4 (c) -0.04 (d) 3\/70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 1:51 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 9101191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1081, -1078, -1051, -988, -877?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeueeyueeuueuyeuuu. Give prob of sequence yu.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -400, -380, -340, -274, -176, -40, 140, 370?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 6:30 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 31*k. Suppose 4 = -4*l, -2*l - 611 = -5*b - 6*l. What is the remainder when b is divided by y(1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 times 0.14?\nAnswer: 15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 7*g**2 + 3. Let q be b(-7). Let i(m) = 2*m - 2. Let a be i(2). Find the third derivative of -2*w**a + w**3 + 2*w**3 - 2*w**3 - 3*w**q wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000145108 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y + 4. Suppose 0 = -4*g - y*b + 476, -4*g + 488 = -5*b + b. Is 40 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 17. Let x be q(13). Let t be (-7 + -1)*x\/8. Are t and -13\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 14*o - 6 + 12093\/2*o**2. Let p be r(2). Round p to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 34.5 (b) -3 (c) -622\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6214*f + 6234*f - 40. Factor 4\/13 - 2\/13*h**f + 2\/13*h.\nAnswer: -2*(h - 2)*(h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.4. Suppose 2*g - 28 = -0*g. Let s be ((-7)\/g)\/(6\/(-4)). What is the second biggest value in 3\/8, s, k?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/(-9))\/(3\/450)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4657 divide 169458916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 82*f + 353. What is the lowest common multiple of n(-2) and 210?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -485 (c) -1\/5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k = -y - 15, 4*k + 14 = -2*y. Let s(z) = z**3 - 2*z**2 - 2*z - 2. Let q be s(3). Calculate the greatest common divisor of q and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 m when four letters picked without replacement from {m: 13, k: 5}.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-2 + -1*(-15)\/5). What is the common denominator of 7\/a + (-22)\/252 and 103\/70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1)*h)**(-2\/127)\/(h**(5\/6)*h**(3\/7))*(h\/h**(-3\/2)*h*h*(h\/((h\/h**(1\/13))\/h))\/h)**(-32) assuming h is positive.\nAnswer: h**(-10246715\/69342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 24*n**2 + 27. What is the units digit of i(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2956 and 2696.\nAnswer: 1992344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 385 + -1259. Let l = 854.8 + y. Round l to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*i - 4*h - 15, 4*i = -2*h - 26. Let c = -5 - i. What is the units digit of -1 + c + 2 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*i + 1. Let w = 4 + 1. Sort i, w, -5 in decreasing order.\nAnswer: w, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 33*k**2 - 5236*k - 17811. What is b(162)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89182 is divided by 17765.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*i**2*p + 84*i**2 + 334*i*p - 16941949*p wrt i?\nAnswer: 34*i*p + 168*i + 334*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 13 + -6 - (-4 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002873 rounded to 5 decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6956 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -44960 rounded to the nearest one thousand?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h + 7. Let i(u) = 4*u - 10. Let z be i(4). Is o(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-7)*(-2001)\/13485*31.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257, 888, 1897, 3284, 5049, 7192?\nAnswer: 9713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 619*j. Let g(a) = 7*a - 25. Let u(x) = -8*x + 30. Let k(y) = -6*g(y) - 5*u(y). Give k(r(f)).\nAnswer: -1238*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8924 is divided by 99.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 4*w + 0*w + 20.\nAnswer: 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 - 112. Suppose 2*x - 761 - 2561 = g. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/6 - 20\/8. Solve x*d + 2*d = 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + 3*m**2 - m + 1. Let d(f) = 5*f**3 + 6*f**2 + 101*f + 2. What is -d(u) + 3*s(u)?\nAnswer: u**3 + 3*u**2 - 104*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 7*q**2 - 7*q + 11. Suppose 3*g - 49 = -0*g + 5*k, -3*g - 2*k = -14. Is a(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523971849?\nAnswer: 3, 2833, 61651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 5, n: 1, e: 2, y: 1}. Give prob of picking 2 h and 1 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 0*v**2 + 4*v**2)*(-2*v**2 + 2 - 2)*(0 - 1 + 3 - 5 + 4 + 2 + (1 - 1 + 1)*(4 - 4 - 2) - 1 + 7 - 3 + 0 - 1 - 1).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6123 - 3319. Let d be ((-3)\/6)\/((-368)\/b). Let q = d + 29\/92. Find the common denominator of q and 5\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.4183 * -5.\nAnswer: -92.0915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 243 = -5*l, 3*n = -8 + 2. What are the prime factors of ((-1584)\/(-84))\/(2 + (-96)\/l)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*r - 16*r = 63*r + 52*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.86 + 2.86. Let y = 2\/19 - 23\/38. Let n = -0.1 + 0.1. Which is the nearest to n? (a) 0.3 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r = 3*n + 5, 4*r + 91*n + 34 = 89*n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*d**3\/5 + 468*d**2 + 999*d\/5.\nAnswer: 3*d*(d + 111)*(7*d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -6*y - 30. Suppose 4*q = 9*q - y. Solve -q*d = -4*d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3134 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 - (8 + -5 - 13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -6143174 and -6143173 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 14) to base 16\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvzzvllv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56845 is divided by 222?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*u - 2*d, -2*u - d = -0*d - 7. Calculate the remainder when 22 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24813?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**4 + 1 - 1)*(1 - 14 - 5) + (3*x**4 + 2*x - 2*x)*(-11 + 12 + 12) to i*x + w + m*x**2 + l*x**4 + b*x**3 and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 8*h + 15. Let o be f(-11). What is the common denominator of -47\/40 and (-164)\/55*(o\/(-24) - 1)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 16, -0.1, -0.4, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**7\/2520 + 13*q**5\/60 - 27*q**2. Let h(f) be the third derivative of l(f). Let c(r) = 3*r**2 - 4. Calculate h(c(z)).\nAnswer: -6*z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**6\/6 + 3*u**4\/4 - 2*u**3\/3 - 47. Determine l, given that z(l) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -402600 to the nearest 10000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = -10*t - 792. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -0.207293.\nAnswer: -0.207293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 176 = -4*l - 6*r, -4*r = -3*l + 137. Suppose -98 = -4*g + 3*j, -3*g + 82 = g + 5*j. What is the remainder when l is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -550*x + 6592. Determine j(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in sixty-one halves of a microsecond?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y. Let k(t) be the second derivative of 0 + 2*t - 1\/6*t**3 + 0*t**2. Determine k(g(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 e, 1 b, and 1 x when four letters picked without replacement from xsssssisizezsb.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*l**3 + 7384*l**2 - 141764*l - 3393552.\nAnswer: -4*(l - 61)**2*(17*l + 228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6021888 months?\nAnswer: 0.0501824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l, 0 = -2*m - 0*m + 5*l + 14. Suppose 0 = -2*o + 9 + 61. What is the tens digit of 5\/o - (-293)\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d**2 + 6. Let s(x) = 13*x**2 - 11. Suppose 2*n = -0*n - 12. Let y(w) = n*s(w) - 11*v(w). Let l(t) = -8*t. Give l(y(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**5 + 177231870*a**4*n**2 + 11*a**2*n**2 - 46*a*n + 227*a + 5 wrt a.\nAnswer: 120*a**2 + 4253564880*a*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 2*b**5\/5 + 3*b**4 + 6*b**3 - 77. Solve s(z) = 0 for z.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/6 - 1177*k\/6 + 140270\/3 = 0. What is k?\nAnswer: 332, 845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1363 (base 10) to base 15\nAnswer: -60d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*d - 94*d = -6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 623 divide 1670263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11253658 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggr when three letters picked without replacement from {j: 4, w: 2, i: 1, r: 7, g: 4}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (135\/15 + -9)\/5. Let y(u) = u**3 - 2*u**2 + 3*u - 8. Determine y(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11346 is divided by 172.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 948 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-18) + 1\/2. Suppose -b = -1 - 2. Let m(t) = t**2 + 3*t**b + i*t**3 - 13*t**3. Give m(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60671 a multiple of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 3*q - 2. Suppose 3*d = 7*d - 240. Calculate the remainder when d is divided by k(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48, 162, 276, 390?\n\"Answer: 114*j - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20931972?\nAnswer: 2, 3, 1744331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/10 - (-42)\/5. Suppose 4*h - q*h + 2160000 = 0. Suppose -2*r = -r + h. What is r rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013561776464 rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6483, -26054, -58673, -104340, -163055?\n\"Answer: -6524*j**2 + j + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**5\/30 + 5*t**4\/12 + 4*t**3\/3 + 7*t**2. Determine z, given that v(z) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 5 + 0 - 1)*(-5*d**2 - 14*d + 14*d).\nAnswer: -10*d**3 + 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 72019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - t + 1. Suppose -4*k + 18 = 6. What is m(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 19*d**2 + d + 23. Let v be y(-19). Suppose -5*t + 111 = 3*u - 23, -t + 37 = v*u. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -335, -2\/5, -4\/9551?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3283807841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -2, -1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -766.37256 to the nearest 10.\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1)*149\/(-298)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*a + a - 2*a + (-3 + 3 + a)*(-1 + 2 + 0) + 2*a + a - 2*a as h*a + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 7:14 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-192)\/(-1728))\/(8\/(-12)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 10101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15053 (base 10) to base 12\nAnswer: 8865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 6*p - 24. Let c be w(6). Solve -3*m = m - c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2*q**2 + 3*b**2*q + 30*b*q**3 + 2*q wrt q.\nAnswer: 6*b**2 + 180*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -0.42082?\nAnswer: -0.07918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 1 = 3*o. Suppose 0 + o = -k - 2*u, 0 = 5*k - u + 46. Suppose -15*r - 398 = -263. Is k > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29.76 - 1.84. Let g = t - -32. Let k = 0.05 - 0.1. Which is the nearest to k? (a) -5 (b) g (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 533\/3 + -178. Which is smaller: -41 or g?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-7)*(-99)\/154.\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19708 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 212 - 207. Let h(b) = -20*b + 9*b + 10*b - p + 21. Determine h(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-6) + 4\/6. Suppose 2*t = -5*k + 7, -2*k - p*t - 4 = 2*k. Factor 3*w - 6*w**3 - 2*w**2 + w + 3*w**3 + w**k.\nAnswer: -2*w*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107824?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. What is the second biggest value in 1, 4, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(0 - 0\/(-2)). Suppose i - 5*i + 28 = x. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y + 9. Let u be o(-2). Suppose 15 = 4*n - 9*n, u*x + n - 354 = 0. Let i = x - 117. Calculate the greatest common divisor of 14 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/9 + 6518*h\/3.\nAnswer: 2*h*(h + 9777)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 4. Suppose t = 4*m - 9*m + 55. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*m + 47*m = -15*m + 4040100. Does 90 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**3 - 335*c**2 + 7375*c - 53125 = 0 for c.\nAnswer: 17, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 4*x**2 - 4*x + 3. What is the units digit of t(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 11:11 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 77999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.089.\nAnswer: 0.0356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-9)\/(c**1)**(-27) assuming c is positive.\nAnswer: c**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*n + 2*n. Let d be ((-8)\/10)\/((-2)\/n). What is the nearest to 0 in d, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1483599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + -55 + 59?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4714750 is divided by 8666?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-300)\/(-1350))\/((1\/2)\/((-15)\/8))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 32 = 2*c. Suppose -4*u - 5*q = -0*u - 23, -3*u = -q - 3. Solve -u*y = -o - c, 5*y = o + y + 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttvvtvv. What is prob of sequence tt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1 = 0, 5*m - 26 = -5*w + 24. Calculate the remainder when 42 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*p - 4*p. Let o be ((p\/15)\/(11\/(-33)))\/(-1). Sort o, -5\/4, -4 in descending order.\nAnswer: o, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0058132 to five decimal places.\nAnswer: 0.00581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 957108168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.5465 to one dp.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14093.3 and -5?\nAnswer: 70466.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 59*f**2 + 792*f + 10726. Give c(-47).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 3*w + 1. Let t be h(-4). Let s(i) = -i**2 + 8*i - 5. Determine s(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28*(-195)\/(-1080))\/((-265)\/4770).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 235 - 234.9164. Round f to 3 dps.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (22 - 12) + 2 + -50 + 4 + -1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 2 - -7)*((-1292)\/(-16))\/(-19). Let k(p) = 5*p. Let o be k(4). Let f be o\/6 - (-1)\/(-3). Sort l, -2, f in decreasing order.\nAnswer: f, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001111 + -110011?\nAnswer: 100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1500536751 and 0.7.\nAnswer: 1500536751.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 487412 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-13044)\/50002)\/(78\/(-92))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 5995 + 2901. What is a rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 1 = -a. Let l(d) = 9*d + 2. Let k be l(a). Is k at least 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1933*n**2 - 3860*n**2 + 1977*n**2.\nAnswer: 50*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 16*l - 26. Let t(b) = -3*b + 5. Let g(o) = -2*q(o) - 11*t(o). Let w be g(6). Suppose w*x - x - 18 = 0. Which is smaller: 10 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - -0.31. Which is the third biggest value? (a) -1 (b) h (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 71*w**2 - 36*w**2 - 22*w**2 - 23*w**2. Let r(a) = 2 - 3*a + 3*a + 2*a. Let s(o) = -o**2 + 5*o + 5. Let u(z) = -5*r(z) + 2*s(z). Give t(u(j)).\nAnswer: -40*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + (sqrt(126)*3)\/sqrt(9))\/(sqrt(2) - (sqrt(98) + 3*sqrt(98)) - sqrt(2))*-3.\nAnswer: 3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*a - 10 + 46, -2*p = 0. Let h be (-2)\/(-2)*(0 + 6)\/(-3). Is (a\/30)\/(h\/190) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -649.1 - -692. Round l to 0 decimal places.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300483 is divided by 3662.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/390 and -51\/364?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1876)\/(-8) + (-9)\/(-6) - -2. Suppose 16*w - 7058 = n. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*q - 156246, -30*q + 33*q - 4*h - 234349 = 0. Suppose -q = -13*i + 210546. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*r - 13943 = -4*r + 12*r - 0*r. Calculate the remainder when r is divided by 0 - 4*16\/(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccj when three letters picked without replacement from {h: 2, i: 2, j: 3, c: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + p - 1, 4*p = -3*z - z + 4. Let l be (-1 - 4) + -7 + 35*8\/20. Suppose a = l*a, z = 2*v + a - 152. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(15)\/(sqrt(5)*-2 - sqrt(5)) - (sqrt(3) - ((sqrt(30)*3)\/sqrt(10))**2)) + -1).\nAnswer: -52 + 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/40276?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -12*g + 13*g - 120, -m = -7*m + g + 133 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108, -1, -1\/6, 4 in descending order.\nAnswer: 4, -1\/6, -1, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210 by -343298.\nAnswer: 105\/171649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-11)\/44)\/(26\/728))\/((-4)\/4*4)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25, 0.3, 2\/11, 4, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: bd (base 15) to base 13\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 7. Let r be (11\/2)\/(6\/j). Solve p + r = i + i, -4*i - 2*p + 10 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -27*w - 11. Let l(b) = 14*b + 6. Calculate 7*l(i) + 4*q(i).\nAnswer: -10*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b - 7*b + 420. Solve -45*c + b*c + 18 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 16 = -2*d, -2*l - 40 = -4*d - 0*l. Let n(w) = -w + 11. Let j be n(d). Solve j = -4*x + 3*s + 25, 3*x + x + s - 13 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -330*p - 3321. What is b(-10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - -3 - 0 - -10. Find the third derivative of 3*g**2 - 2*g**5 - 4*g**2 - g**2 + n*g**5 wrt g.\nAnswer: 360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 76*q - 192. Give w(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-4547*c - 194*c**3 + 4547*c).\nAnswer: -388*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 4:05 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*x + 102 + 196 = 0, -5*t + 304 = -4*x. Let v be 9\/2*(-22)\/(-3). Suppose 0 = 5*k - 27 - v. What is the highest common factor of k and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6190 - 2346. Suppose -9523 = -w + f. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3512 + 3*c**2 - 4*c**2 - 2*c**4 - 48920*c**6 + 48944*c**6 wrt c.\nAnswer: 2880*c**3 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/121*495\/(-27)*63\/(-15).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 2*n + 4*k + 17, 0 = -3*k - 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-7903.3.\nAnswer: -15806.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by 2417289.\nAnswer: -7\/345327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-526)\/(-11) - 82\/(-451) and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11418437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1611771 and -40\/639.\nAnswer: 4835313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 887554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1385.546m?\nAnswer: 138554.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18519678*h*q**2 + 797*q**2 - 26*q - 3 wrt h.\nAnswer: -18519678*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3942?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(15\/54)\/(5\/3). Let p(o) = o**3 - 6*o**2 + 4*o + 2. Let b be p(5). Sort 4, 16, b, r in descending order.\nAnswer: 16, 4, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2. Let n(s) = -14*s**2 + 22. Let j(y) = y**2 - 1. Let b(l) = 44*j(l) + 2*n(l). Determine p(b(f)).\nAnswer: -256*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -15 - 2\/1. Let d be 1 + 5\/(v\/(-6)). Suppose -2*a = -2*x, 0*a + 2*a - d*x + 2 = 0. Solve a + 1 = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2. Let n be 3 + (2 - (9 - 4)). Let m(r) = -17*r + n*r + 2*r. What is t(m(w))?\nAnswer: 450*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*p*r*u**3 - p*r*u**2 - 2*p*r*u - 153*p*u**3 + 2*r*u + r + 15*u - 31 wrt u.\nAnswer: 252*p*r*u - 2*p*r - 918*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -251 in -3, 12, -2\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 + 10*b**2 + b**3 - b**2 - 9*b**2.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**3 + 2*f**2 + 10*f + 8. Let x(p) = p**3 - 11*p**2 + 10*p**2 - p - 2*p**3 - 1. Let v(k) = -s(k) - 5*x(k). Calculate v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 87605 and 87605 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/133 in -0.63, 0.4, -0.3, -1, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 - (-12)\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 108, 115, 124?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156.01 + -155. Let m = 5.91 - z. What is m rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 8:14 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 218, 193, 148, 77, -26, -167, -352?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52*728\/(-1183) - (-1 - 20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(78)\/(-2*sqrt(96)).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -94. Suppose -2*s = s - 27. Let g be (-68)\/(-18) - (-2)\/s. Solve 5*n + q + g*q = i, -5*q = -4*n - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-450*n**2 - 454*n**2 - 453*n**2 + 1357*n**2 + 2327*n**3)*(-1 - 1 + 3)*(6*n + 0*n - 5*n).\nAnswer: 2327*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -97, -95, -85, -61, -17, 53?\n\"Answer: x**3 - 2*x**2 + x - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grbrrrnvb. Give prob of picking 1 v and 1 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9998 is divided by 250?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 17953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4 = 0, 4*d - 12720 = l + 28937. Is d a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1379853 or 3?\nAnswer: -1379853","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oafa when four letters picked without replacement from ebaebaaebbapeooabpfp.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -195b (base 14) in base 16?\nAnswer: -11ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2849?\nAnswer: 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -33\/4*r**4 - 11*r + 1 + 0*r**3 + 0*r**2. Differentiate p(v) wrt v.\nAnswer: -99*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 295*s**3 - 1177*s**2\/2 - 3*s + 29. What is the first derivative of v(y) wrt y?\nAnswer: 1770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5566 - 3916. Suppose 194*t - p = 192*t. Calculate the highest common factor of t and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154 + 244.5. Let o = g - 91. Let i = -4.85 - 0.15. Sort -0.2, 0.2, o, i in descending order.\nAnswer: 0.2, -0.2, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3053 - -3049. Which is the third smallest value? (a) 3 (b) 2\/7 (c) 0.597 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*n + 5 + 809 = 0, 0 = -5*f + 2*n + 1017. Suppose 3*v - 243 = 5*w, -2*v + w - 48 = -f. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3074855 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 6. Let l be n(18). Let s = 22 + l. Calculate the remainder when 18 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -12. Suppose 2*p = -2*s + 1950, -b*p + 0*s + 4835 = -5*s. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 188, 238, 320, 434, 580, 758, 968?\n\"Answer: 16*y**2 + 2*y + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/36*104\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 60183, 60208, 60269, 60384, 60571, 60848, 61233, 61744?\n\"Answer: 3*w**3 + 4*w + 60176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6273 divided by -51\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9730069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3290945, -6581886, -9872807, -13163702, -16454565?\nAnswer: -19745390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 5, z: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3\/3 - 92*w**2\/3 + 16*w\/3 + 368\/3.\nAnswer: -4*(w - 2)*(w + 2)*(w + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37811*y**3*z**4 - 27*y**3*z**3 + y**3 - 10*y**2*z**2 + 1199*y**2*z - 2*y*z**2 - 165 wrt z.\nAnswer: -907464*y**3*z - 162*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m**2\/5 - 2914*m - 187068\/5 = 0.\nAnswer: -51\/4, 1834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - 2*f**2 + 1. Let d be i(2). Suppose 120 = d*c - 465. Let b = c + -45. Solve -2*a - b = -7*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, 0, -6 in increasing order.\nAnswer: -6, -4, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 28) + (11 - -33 - 33)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by 63\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t - 8 + 23 + 5*t)*(3*t + 2*t - 2*t).\nAnswer: -3*t**2 + 45*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven thirds of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/195064158 and -37\/66099.\nAnswer: 2145705738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqoqoeqoqo. What is prob of sequence ooqq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 160757aa - 1?\nAnswer: 160757a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1568605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d + 20. Let a be j(6). Let c(k) = 27*k**a - 10*k**2 - 16*k**2. Let s(m) = 7*m + 1. Give c(s(l)).\nAnswer: 49*l**2 + 14*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -0.059, -0.325, -1, -2?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5040, -10078, -15116, -20154, -25192?\nAnswer: -30230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/7*-2*(518 - 532). Put x, 5, 325 in decreasing order.\nAnswer: 325, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/4 (b) 187 (c) -3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {y: 2, d: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-116)\/(-20) - (3 - 1). Let c = 556\/145 - r. Let x = 38 + -38. Which is bigger: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 126*w + 2586. Calculate g(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1666*j - 10007. Give p(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/((1 - 1) + -2). Suppose -v + 24 + y = 0. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/5, 6\/7, 0.02, 0.013?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16355.\nAnswer: 5, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 19. Let t be b(-20). Sort t, 4, 2.\nAnswer: t, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5793 - 4*i**2 + 5793 in the form n + g*i**2 + m*i and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2. Let c(b) = 438*b**2 - 5097*b + 5097*b. What is q(c(l))?\nAnswer: -383688*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -934 and -6\/23 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -1429*c**3\/3 + c**2\/2 + 100*c - 2054. What is the second derivative of z(d) wrt d?\nAnswer: -2858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45673\/753320 - -5\/1018. Calculate the common denominator of a and -127\/740.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25\/20)\/(3\/24 + 0). Suppose 8*p - m*p - 5*t + 38 = 0, 2*t = 4*p - 52. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by 517013.\nAnswer: 34\/517013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 6. Let f = -1560.90006 - -1556.9. Let p = t + f. Round p to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253 + 267 = -7*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -4. Which is bigger: n or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**2 + 117273*p + 351792 = 0.\nAnswer: -39088, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + 2 - 2 + 15*p**4 + 2 - 12*p**4 - 2*p**2 to y + v*p**2 + k*p**4 + m*p + i*p**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53948630*f**3 + 33878341 wrt f?\nAnswer: -161845890*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/9)*f\/(f\/f**(-12\/7)))\/(f**(-5)\/f*f*f**(-17)) assuming f is positive.\nAnswer: f**(1306\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 2)*((2*g - 3 + 3)*(2*g + 0*g + 0*g) + 23*g**2 - 55*g**2 + 23*g**2).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a**3 - 19*a**2 + 185*a + 60. What are the prime factors of u(-20)?\nAnswer: 2, 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 36, 50, -5, 5, -16 in descending order.\nAnswer: 50, 36, 5, 4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 43. What is the closest to x in -1\/4, 1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 24*p - 2 + 2 as y*p + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.91002 less than -76450670?\nAnswer: -76450669.08998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17189, -34448, -51787, -69206, -86705, -104284?\nAnswer: -121943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 16 - 4)*(-20*a**4 + 2*a**2 - 51 + 51).\nAnswer: 240*a**4 - 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 2*j**2 - 4. Calculate a(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 3297143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3266295952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3132459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 + 1220 + 92 + 24*l - 1503 + 95.\nAnswer: 24*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312, -306, -296, -282, -264, -242?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2254 - 240110?\nAnswer: -242404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5\/9 + 88*j**4\/9 + 76*j**3\/3 - 856*j**2\/9 - 224*j\/9 + 256\/3 = 0.\nAnswer: -4, -1, 1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 14 = -3*b, 3*d + 43 - 5 = 4*b. Let r(h) be the first derivative of 1\/2*h**4 - b*h + 2*h**3 + 0*h**2 - 2. Determine z, given that r(z) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 2*c**5\/15 - c**4\/8 + c**3\/6 - 75*c**2. What is the remainder when 57 is divided by b(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (6 - 3) - (-20 + 2 - (-28 - -22)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**4\/2 - 88413*y**3\/4 - 221001*y**2\/4 - 44199*y\/2 = 0 for y.\nAnswer: -14733, -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.3 (b) -1\/4 (c) 7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1331432 (base 5) to base 13.\nAnswer: c45c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 + 22)*(-2)\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -421*v - 553.\nAnswer: -421","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/84, 3, 1, 365?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + h = -r - 15, -4*h + 4 = 0. Suppose -2*u + 2*t - 2 = 0, 5*t = 4*u + 2*t + r. Let p(a) = a**2 + 4*a - 3. Calculate p(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17232 and 13545429.\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11848*b**3 + 26361*b.\nAnswer: -71088*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 311796?\nAnswer: -187077.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**3 - 24*u**2 - 14*u - 6. Let t(a) = 2*a**3 + 16*a**2 + 9*a + 4. Let n(q) = -7*t(q) - 5*y(q). Calculate n(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.323 or -2\/165?\nAnswer: 0.323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7511*f**4 + 0*f**2 + 4*f**3 - 7512*f**4 + 26*f - 2*f**2 to m*f**2 + h*f + d*f**4 + q + t*f**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s + 4. Let u be l(-3). Suppose -3*r + 8*r + u = 4*p, -5*p - 3*r - 15 = 0. Solve p = 4*x - 2*n - 18, x - 4*x = -3*n - 21 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 1\/20*y**5 + 3*y**2 + 0*y**4 + 0 + 0*y + 0*y**3. Let z(c) = 3*c. Determine z(g(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19 and 98?\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1)\/(9\/6 + -4). Suppose 0*q = 2*q. Let z be (4\/(-6))\/(1 + -3). Which is the closest to k? (a) 2 (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 58. Suppose 2*m = 3*m + 5*d - v, 0 = 2*m - 2*d + 2. Suppose 4 = m*w, 0 = 5*o - w - w - 36. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -619 + 1243 + 92*v - 624. Let w(h) = -3*h. Give m(w(p)).\nAnswer: -276*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 820080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -72664, -72659, -72644, -72613, -72560?\n\"Answer: o**3 - o**2 + o - 72665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e2f - -3?\nAnswer: e32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1925.3 to the nearest 10.\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v + 3. Let k be b(-1). Suppose -5*r + 46 + 29 = k. Solve -4*o + r = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpevvnnpvp. What is prob of sequence nv?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/36126469 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 13*l - 14*l. Suppose l*b - 2089 = -19. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*b + 263 = -1071. What is the highest common factor of b and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 10 + 114 = 6*l, -l + 0*o + 10*o = 6*o + 2 + 4 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from {u: 3, l: 1, p: 6, a: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 f, and 2 d when four letters picked without replacement from fddffrdddrr?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/3 - 4\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.7. Let k = 0.1 + -0.3. Suppose -u = -3*y, 0 = -2*y + 3*u - 8*u. What is the biggest value in z, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 1 (c) -5 (d) 34\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z = -0*z + 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 12:27 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -472 + 5678?\nAnswer: 5206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 7. Let z(m) = 3 - 9 + 10 - 7*m + 0. Let k(i) = -6*i + 3. Calculate b*k(o) + 5*z(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 4. Let p be (-103 + 102)\/(2\/(-24)*-2). Let i be p\/(q + (-14)\/(-4)). Put i, 1, -1, 5 in decreasing order.\nAnswer: 5, 1, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q - 5*n = 57, -5*q - 5*n = 165. Let v = 40 + q. Let p be v\/6 + -2 + (-39)\/(-9). Let f(s) = -s**2 + 4*s - 1. Give f(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/5 - 32432*j**3\/5 - 131770892*j**2\/5 - 2364000912*j\/5 - 10626195762\/5.\nAnswer: -2*(j + 9)**2*(j + 8099)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0544 - 0.4456. Let h = -12 - -7. Let j = -10338\/91 + 792\/7. Which is the second smallest value? (a) y (b) h (c) 5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**4\/24 - 7*h**3\/6 - h**2. Give f(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59421, 59431, 59455, 59499, 59569, 59671, 59811?\nAnswer: 59995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 10. Suppose -2*r + 6*r - 13 = -5*u, 0 = -3*u + 3. Let b(f) = 13*f**2 - 2 + 5*f - 9*f**r - 5*f**2. Give b(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d**4 - 10*d**3 + 11*d**2 + 11*d - 225. Let s(x) = 2*x**4 + 2*x**3 - 2*x**2 - 2*x + 45. Let z(v) = 2*f(v) + 11*s(v). Differentiate z(c) wrt c.\nAnswer: 16*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -172467948 and -0.126.\nAnswer: -172467948.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 882061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 - 1132*x - 67951. Calculate j(430).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -194*s + 191*s + 7, -39 = -14*s - r + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-24)\/28*(-21)\/(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 458206674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -16*j - 23. Calculate t(-5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**6\/120 - h**4\/8 + h**3\/6 + 106*h**2 - h. Give k(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 123 = g, 394 = 3*g + f - 2*f. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 11. Let o = l + 10. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49116.11 millimeters to micrometers.\nAnswer: 49116110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r = 6101 + 25941. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599710145 to the power of 1\/2, to the nearest integer?\nAnswer: 24489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113171*m + 5*m**2 - 113171*m.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 7*m**2 + 8*m + 12. Let s be u(-6). Suppose -4*z - 13 + 9 = s. List the prime factors of 93 + z*0\/4.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**4 - c**4 + 3*c**4)*(31*c - 37*c + 85*c).\nAnswer: -79*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3*1\/2. Let p = -3.95 + -0.05. Let b = p + 4. Sort b, c, 3 in descending order.\nAnswer: 3, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*a - 66*a = 32. Calculate the remainder when 42 is divided by a\/(44\/8 + -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626321 is divided by 2067.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 18 = 4*z - 20, 2*z - 34 = -4*w for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - k**2 + 8*k + 144. Let f(u) = u**3 - u**2 + 2*u + 1. Let g(m) = -4*f(m) + q(m). What is the first derivative of g(a) wrt a?\nAnswer: -15*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 + 33. Suppose 0 = -t*h + 74 + 34. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/((-45)\/6))\/((-747)\/81). Is 1 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feefeffeefeff. What is prob of picking 1 f and 3 e?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsn when three letters picked without replacement from {n: 9, s: 11}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2.7049 times -15\nAnswer: 40.5735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c + 8. Let f(n) = n**2 + 4*n - 3. Let y be f(-5). Suppose 0 = -3*o - 5*i + 11 - y, 0 = 3*i. Sort c, o, 16 in descending order.\nAnswer: 16, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1106 and 448?\nAnswer: 35392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8494, 99, 3.\nAnswer: -8494, 3, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -251106.\nAnswer: -5\/251106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -30605795.1 to the nearest one million.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 33*l - 107*l + 47 = 183*l + 2617 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -10\/10267?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-2)\/8*(3024\/90)\/42.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 6) to base 15\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-5))\/(4\/5). Let a = -19 + 19.3. What is the nearest to 0.1 in y, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589494080.\nAnswer: 2, 5, 7, 263167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -405? (a) -3 (b) -4 (c) -0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1668540?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from koofkkfkkkfk.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13895*m - 2630 = 14158*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*w - 52 = 0, 2 = b + 3*w - 30. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d**2 + 61824 - 61824.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7356 + 1.7956. Which is the nearest to -6? (a) 0.1 (b) 0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39442 and 1258.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -861 - -847. Which is the third smallest value? (a) -3 (b) -20 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 11:34 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = t - 280 + 298, -4*p = t + 15. Suppose 0*a = 2*a - 4. What is the third smallest value in a, -9, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4123*s**2 + 8*s**3 - 4108*s**2 - 4109*s**2 + 12340*s**2.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.395 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (7 - -1)) + (-20 - (117 - 146))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 7 = a, 5*k + 5 = 226*a - 221*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4 = o. Let t be (12 - (-6)\/o) + -1. Let r = -56 - t. What is r rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 3*q - 5\/6*q**3 + 0*q**4 + 0*q**6 + 0*q**2 + 0 + 2\/7*q**7 + 0*q**5. What is the second derivative of g(c) wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6556019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 89*p - 765. Let u be c(97). Sort -5, 17, -1, u, 4.\nAnswer: -5, -1, 4, u, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 127, 129, 133, 139, 147, 157?\n\"Answer: g**2 - g + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 103 - 103 - 18*w in the form x + r*w and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qooroxxo. Give prob of sequence orq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 83774 (base 9) to base 12\nAnswer: 28011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101201100221 - 2?\nAnswer: -2101201101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 0*y + 33*y**2 - 1\/12*y**4 - 7\/6*y**3 + 0. Determine p(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Suppose 0*k = -11*k. Suppose 8 = 3*d - 5*t, k = 3*d + 3*t - p*t - 2. Which is greater: d or 1\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/8 in 0.3, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327467.\nAnswer: 7, 41, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 38961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 6*l**2 + 4. Let t = -79 - -62. Let b be (-2)\/1 + (t - -13). What is o(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + (1*sqrt(539)*6 - sqrt(539) - (0 + sqrt(539))*-1))*-2*-4.\nAnswer: 32 + 336*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let y be k(0). Suppose y = -34*m + 12*m + 88. Let h(n) = 2*n**2 + n + 1. Let c(v) = 2*v**2 + v + 2. What is m*c(b) - 5*h(b)?\nAnswer: -2*b**2 - b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1088 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/112 (b) -0.4 (c) 3\/5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (48\/96)\/((-2)\/(-9332)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*o = -6, -2*f - 1 = 5*o + 3. Let m be (-40)\/(-6) + f\/3. Is 6530\/26 + m\/(-39) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4 - 69*d**3 - 315*d**2 - 243*d = 0. Calculate d.\nAnswer: -3, -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2369 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -31 (b) 3 (c) -57 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1956 + -1942. Solve 3*q - z = 2*r, -2*q - r + 7 = -0*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.9 - -12.2. Let m = h - -8.33. What is m rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -264*x + 1160. Give t(4).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -12586071.\nAnswer: -5\/12586071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-7))\/(-1) + 180\/(-525). Is f greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t + t**3 + 2*t**3 - t**3 + (3*t**2 - 58*t**2 - 2*t**2)*(-t - 5*t + 5*t).\nAnswer: 59*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 463\/7. Let c(i) = i**3 - 2*i**2 - 2*i - 4. Let j be c(3). Which is smaller: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/((-8)\/(-64)). Suppose z*l - l = 6. Suppose -l*q + 40 = 5*s, -s - 100 = -5*q - 2*s. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 279336.499892 - 279336. Let f = 0.5 - n. What is f rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 6*d**2 + 8*d - 9. Let y = -303 - -308. Suppose f = -y, 5*z + 2*f = -f + 10. Determine n(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 + 565. Let k = y - 285. Let w = k + -85. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + (sqrt(1377) + -1 + 4 - sqrt(1377))) - -6*((2 + sqrt(1377) - sqrt(1377)) + 2)*4)**2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.014? (a) 2 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8014 - 64203\/8. Calculate the common denominator of b and ((-2)\/(-6))\/((-20)\/102).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (19 - (8 + 17)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2248625 (base 9) to base 14.\nAnswer: -238393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwwwzwzzkwz. What is prob of sequence kzk?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*2)\/(24\/(-33)*(-1)\/6).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 v, and 1 c when three letters picked without replacement from {b: 7, q: 1, v: 1, c: 3, j: 2}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2555 and -0.279.\nAnswer: -712.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 10:33 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18891\/2099)\/(-3*(-6)\/(-90)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -14*d - 7. What is p(4)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13147 - -185976. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*o = 20, 5*u + o = -3*o + 32. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-3)\/3)\/((-7)\/(-1)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40.017 - 40. Let c = o - -0.025. Let j = 0.652 - c. Round j to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111000 - 0?\nAnswer: -111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 2*n + 0*n)*(n + 2*n + 249*n**2 - 252*n**2).\nAnswer: -6*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -110*n**2 - 1411*n - 185. What is u(-12)?\nAnswer: 907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5\/3))**(-38)*(i**(-6))**45 assuming i is positive.\nAnswer: i**(-620\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.70538 millilitres in litres?\nAnswer: 0.07870538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6019 less than 6019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -267735 divided by 89245?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -802 divided by -24616?\nAnswer: 401\/12308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 5341.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90\/17 + 98\/17. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2561710733 minus -0.107?\nAnswer: 2561710733.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n + 2*n)*(2 - 2 - 2*n**2 + (-16*n - 12 + 12)*(4*n + 12*n - 2*n)).\nAnswer: -226*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-66)\/(-9) - 1\/3. Let u(f) = -f**3 + 7*f**2 + f - 5. Let a be u(o). Let c(i) = i**2 + 2*i**a + i**2. Determine c(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 167. What is the units digit of 4\/6 + t\/21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*g + 2*g**2 + 8*g)*(-619*g**2 + 257 - 257) to d + y*g**4 + t*g**3 + l*g**2 + m*g and give y.\nAnswer: -1238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1866303400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = -16*x + 9*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, 56430, -1\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 0 + 2)*(3*a - a - 6*a)*(7*a - 5*a + 7*a) to the form n + t*a**2 + y*a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*v**5 + 28375*v**4 + 9505*v**3 - 85095*v**2 - 85130*v - 18920 = 0. Calculate v.\nAnswer: -1, -1\/3, 2, 1892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r**2 + 5*r + 5. Let m(v) = -v**2 - v - 1. Give 5*m(w) + t(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**4 - 12156*a**3 + 1688256*a**2 - 60030720*a = 0.\nAnswer: 0, 72, 2895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + -71. Let m = h - -134. Let n = -28 + m. Solve 3*l + 0*l - n = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6071944789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 254771442 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570428 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 4*r**3 - r**3 + (4*r - 4*r - r)*(87*r**2 - 55*r**2 - 46*r**2).\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/17 - 24358*a\/17 + 48724\/17.\nAnswer: -2*(a - 2)*(a + 12181)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*y**2 + 18*y**2 - 32*y**2 in the form c*y + g*y**2 + u and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63606 and 7145074.\nAnswer: 21435222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3295 - -3403. What is the smallest value in s, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/(2\/75). Let q(b) = -2*b**3 - 49*b**2 + 20*b - 1. What are the prime factors of q(h)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**3\/7 + 18*b**2\/7 + 45*b\/7 - 300\/7 = 0.\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -4, 3, 8\/9?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -280771\/99824 - -1\/6239. Find the common denominator of t and -21\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-6)\/(276\/23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21300, 42313, 63308, 84285, 105244, 126185?\n\"Answer: -9*k**2 + 21040*k + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - -0.3. Suppose 49*p = 250 - 54. What is the second biggest value in -0.4, p, h, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 4*v**2 + 2. Let j be l(-4). Suppose -4*s = -14 - j. Let f(b) = 2*b - 20. Let h be f(10). Solve h = 3*w + w - s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 31)*(207 - 66 - 6)*(1 + m - 1).\nAnswer: 3510*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109921194 by 3.\nAnswer: 36640398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/3 + 599524*v**2\/3 + 44991512192*v\/3 + 3140599024640 = 0. What is v?\nAnswer: -149776, -210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-9)*f**(-2) assuming f is positive.\nAnswer: f**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41522.\nAnswer: 2, 13, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/8 and -113\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0177 - -0.0729. What is n rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1969880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w**2 - 5*w - 2. Determine d(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6713.104g in nanograms?\nAnswer: 6713104000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11308, 22731, 34066, 45307, 56448, 67483?\nAnswer: 78406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 5:40 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/6 and 140\/20 + (-1198)\/156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + 95. Let i be 3*((-266)\/l + (-1)\/4). Let r be 3 + (-1)\/(-12)*i. Which is the nearest to -0.2? (a) 1 (b) r (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2842 and 8036.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.3, 31, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:09 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8248235 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 the value of ((-12)\/16)\/(402\/47168)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 37\/2 - 2\/4. Calculate the greatest common factor of z and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3780?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4) - 1\/2. Let f = 252 - 748\/3. Let o = -46\/15 + f. What is the nearest to j in o, 1\/4, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 334 = 18. Let q = v + -48. Suppose 0*m - m + q = -4*y, -2*y = 0. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -100*i**4 + 19344520*i**3 + 208931664*i**2 + 157859936*i + 30952960 = 0.\nAnswer: -10, -2\/5, 193456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*345\/90)\/(((-2)\/(-8))\/(13 + -12)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**2*j*o**2 + 2*d**2*o + 280*j**3*o**2 - 129*j**3*o + 119*j**2*o - 9*o**3 wrt o.\nAnswer: -6*d**2*j + 560*j**3 - 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*c - 4*s, -27*s + 25*s = -5*c + 17. Let v(d) = d**3 - d - 1. Let u(f) = 5*f**3 + 3*f + 3. What is c*v(n) + u(n)?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74.42 + 74.4225938. Round v to five dps.\nAnswer: 0.00259","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/20 - (-1370)\/(-75)*(123\/12 - 8)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603 + 877 = -117*k - 20*k - 438 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 + 24*r - 48 + 21*r.\nAnswer: 45*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19090057?\nAnswer: 7, 317, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*z + 34, -3*d = -8*d - 3*z + 125. Let q = d + -16. Suppose s - q = -4*a, -2*a = 3*s - 46 - 12. What is the smallest common multiple of s and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1338.9006 - 1545.9. Let y = -207 - l. Round y to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*1\/6*10 - -1867. Suppose -300*g = -291*g - l. What is the greatest common factor of 32 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 3*v + 3*v)*(4 + 4 - 5) + (-1 + 2 - 2)*(-4 - 2*v + 4) as y + p*v and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3390544891?\nAnswer: 47, 241, 299333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3387846, 6775694, 10163542?\nAnswer: 13551390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56.6 - -57. Which is the fourth biggest value? (a) 0 (b) p (c) 0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 3*w + w - 21*w + 12.\nAnswer: -28*w + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 s, and 1 k when three letters picked without replacement from {u: 1, k: 1, r: 1, v: 1, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - f**2 + 4*f)*(-50*f**2 - 2*f + 34272 - 34272).\nAnswer: 50*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 828, 1659, 2500, 3357, 4236, 5143?\n\"Answer: v**3 - v**2 + 827*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y - 32*y - 10 = 0. Let t be 4\/(-3) - (y + (-15)\/(-9)). Which is smaller: -2\/17 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-20))\/(((-1296)\/(-45))\/16)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 8 - (3 + 11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(700) + -2 - (sqrt(700) + 0)*-4 - (sqrt(700) + (sqrt(700) - (sqrt(700) + sqrt(700) + 0 + sqrt(700) + sqrt(700))*-2) + -4*(sqrt(700) + 1)))**2.\nAnswer: -40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 129?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*r - 0*h - 15, 0 = 2*r - 2*h - 12. Suppose 0 = -5*f + r*n + 1285, 2*n + 2*n - 996 = -4*f. Let w = -163 + f. What are the prime factors of w?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 a when four letters picked without replacement from xoxoxgxxxxaxoaxoaxxx.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1354, -2695, -4024, -5335, -6622, -7879, -9100?\n\"Answer: a**3 - 1348*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 - 253524?\nAnswer: -253566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*n - 5*b, 2*n + 5*b = -0*b + 20. Does -1 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 6. Suppose f + 9 = b*f. Let q(n) = n**2 + 10*n + 5. Calculate the remainder when f is divided by q(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17\/4 - 77\/20. Let k = 3.9 + -4. Which is the closest to 0? (a) y (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1683, 2\/37, 1, 0?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 10 = -5*q, -6*q = -3*q + 2*u + 18 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946 is divided by 132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2*(0 - 2)*-720. Calculate the greatest common divisor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - (20 + 4)) + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*5)\/(1060\/424). Suppose -3*o - 4*s = 2*o - 8, -5*o - s + 17 = 0. Let g = 4 + -2. Put o, g, v in descending order.\nAnswer: o, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 2*l + 2. Let g be f(-2). What is the second derivative of 67*m + 4*m**3 - g*m**3 - 56*m wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 93484710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-534)\/2)\/(-1)*1)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1680272656?\nAnswer: 2, 17, 1367, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1972253*i*l**3*w**3 + 53*i*l**3 - i*l*w**3 - 47*i*l - 862*l*w - 272*w wrt l.\nAnswer: -11833518*i*l*w**3 + 318*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 25*v**2 - 1. Let y be l(-1). What is the highest common divisor of y and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 7. Suppose 10*f - 4*g + 37 = f, 0 = 2*f + 3*g + 16. Put x, f, -10 in decreasing order.\nAnswer: x, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**4\/24 + n**3\/3 + 5*n**2\/4 - 26*n. Factor t(j).\nAnswer: -(j - 5)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3451 and 37114553.\nAnswer: 1076322037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + ((sqrt(147) + 1)*6 - sqrt(147)))**2 + 0.\nAnswer: 140*sqrt(3) + 3679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**2 + 704226*o - 41327854923 = 0.\nAnswer: 117371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4 + 0 + 21\/42.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 1, e: 3, w: 9, k: 2}. Give prob of sequence bw.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -928896.60061 - -928882. Let p = -14.6 - k. Round p to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140712 a multiple of 482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + x = -0*x + 7, -3*o - 6 = 4*x. Let r = 1 - o. Let p be (-1)\/(-5) + (-5 - -5). Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a meter in centimeters?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**(-1))*o\/(o*o*o**0*o)*o\/(o*o\/((o**0*o)\/o))*o**(-4\/5) assuming o is positive.\nAnswer: o**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 270 = -t. Calculate the remainder when t is divided by (-63)\/(-4) - 1\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u. Let t(v) = -4006*v**2 + 110. What is k(t(p))?\nAnswer: 4006*p**2 - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1 - 4) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r*r**(2\/5)*r*r*r*r)\/r)\/r)\/r*r*(r\/(r**1*r))\/r)\/(r\/((((r**0*r*r)\/r)\/r*r)\/r)*r)**(-13\/4))**(-45) assuming r is positive.\nAnswer: r**(-711\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 10:13 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34412744 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: Expand r**2 - r**3 - r**2 + (4*r**3 - r + 7*r - 3*r**3)*(4 - 1 - 1).\nAnswer: r**3 + 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 4) to base 3\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 8.6 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11474678 and 15468?\nAnswer: 2578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -0.1. Let s = h + -0.4. Let b = 0.47 - s. Round b to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -384, -819, -1414, -2169?\nAnswer: -3084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqr when three letters picked without replacement from {k: 7, l: 1, x: 5, r: 1, q: 2}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*y - 676 = -26, 4*y = -4. Suppose 4*l + 4 + 0 = 0, -5*m + 5*l = -170. What is the remainder when b is divided by m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/51002097 and -23\/282.\nAnswer: 102004194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3 - 9. Let b be o*(-4 + 5\/(-15)*-13). Which is bigger: b or 2\/163?\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(165\/22))\/((-8)\/16).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 25*f**2 + 64*f - 14. Let u be n(-22). Suppose -44*o - u = -38*o. Put 1\/2, o, 12 in decreasing order.\nAnswer: 12, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*z + 20, -2 + 6 = z. Let p(q) = q**2 - 8*q + 12. Calculate p(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 258, 276, 282, 270, 234, 168?\n\"Answer: -h**3 + 25*h + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/16 and 21\/200.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-1 - -9) + -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 1. Let c(v) = -284*v**2 + 3124*v + 3124. Determine -6*c(j) + 18744*d(j).\nAnswer: 1704*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15134.4179 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c = -5. Solve -3*v = 2*s - 0*s - 17, v + c = s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.399135 * 21\nAnswer: -50.381835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from cisnpsw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**6\/360 - l**5\/60 - 11*l**4\/24 + 2*l**3 + 6. Let a(i) be the third derivative of f(i). Is a(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000554555 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 7 + 3)*(-1 - 2*i + 1 + 3*i - i - 4*i + (-1 - 5 + 4)*(i + 3*i - 2*i) + 0*i - i - i - i - 1 + 1).\nAnswer: -198*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/6)\/(-5)*(30 - 0). Solve -5*f = a + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 250738501?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -76, -3, 0.2, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -356, -876, -1646, -2684?\nAnswer: -4008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 18. Let t(y) = y**2 - 16*y - 33. Let w be t(18). Calculate the lowest common multiple of 60 and z(w).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103578.\nAnswer: 2, 7, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007467073 rounded to seven dps?\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*y - y - 1180, 4*y = 2*m - 482. What is the highest common factor of m and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 4556457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*v - 0. Solve v = a - 6*a, 5*t + 2*a = -17 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 320 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = -o - 2796 + 2906 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 22, 4, 16, -3, -2, -27784.\nAnswer: -27784, -5, -3, -2, 4, 16, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2))**48*h**(-3)\/(h\/(h*h\/h**(2\/9))) assuming h is positive.\nAnswer: h**(-884\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - 1. Let p be t(1). Let v = 6 - p. Find the second derivative of -2*x + 5*x**5 - 2*x**v + 0*x + 3*x wrt x.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -1856330804.\nAnswer: -1856330807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75251*a**2 + 62123 with respect to a.\nAnswer: 150502*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69760019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 15813?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 333 and 20535?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 5*j - 13, -2*i + 2 = -3*j + 3. Suppose -5*g + 8 = 4*q - 40, g = -4*q + 48. Suppose -d - 2*d - q = 0. Sort i, d, -1 in descending order.\nAnswer: -1, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**4\/10 - 167*o**3\/2 + 205629*o**2\/10 - 2578725*o\/2 + 17634375 = 0.\nAnswer: 19, 66, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + 8. Suppose 0 = -r - 2*r + i. What are the prime factors of 188\/12 - 4\/r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 3*y + 1, 0 = -5*f + y - 0*y - 25 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**2 - 32*c**2 + 11*c**2.\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 73. Let f = 0.0077 - 29.6277. Let v = f - y. What is v rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 4.2. Let o = -2 + 2.1. Let n = 0.4 - o. Which is the closest to 0? (a) h (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 5:27 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-1170)*39)\/(4\/(-33))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62725 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-9)\/12*12\/(-9). Let z = 2.9 + -0.7. Let k = -2 + z. Which is the second biggest value? (a) k (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 5.2, 0.5, 4, 34, 1, 8.7, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - z - 68 = 0, -z = -2*z - 3. Let k be 2\/(-8) - i\/4. Let t = 6\/61 + 190\/549. Which is the nearest to -1\/4? (a) 1\/2 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441531164 divided by 110382791?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13\/8420, -1\/4 in decreasing order.\nAnswer: 4, 13\/8420, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -55)\/(6 + -7). Suppose -4*z - m = -4*v, v + z - 40 = -4*v. Suppose -133 = -27*g + 8*g. Solve -g*x = -4*x + v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l + 27. Let w = 16 + l. Let y(t) = -t**2 - 5*t + 9. What is y(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 10) in base 3?\nAnswer: -21212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 19*v**2 - 14*v + 39. Let y be r(-18). Let b be y\/(-6)*1 + 27\/(-18). Calculate the greatest common divisor of 44 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3839951?\nAnswer: 3839951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -2936?\nAnswer: -2936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o**2 - o - 1. Let b(k) = 4*k**3 + 15*k**2 + 10*k + 6. Let g(u) = b(u) + 2*j(u). Let a be g(-8). Solve 3*x = t - 12 - 1, x = a*t - 19 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13\/(-2) + 1\/2. Let r be 6\/4*(-8)\/l. Solve -r*s - s = -6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 5 (c) 2 (d) -531 (e) -0.47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - l - 30 = 0, g - 2*l - 14 = -4. What is the greatest common divisor of g and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 0. Let v be (1\/(-35))\/(28\/(-140)). Which is the third smallest value? (a) 0 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/(-64))\/9)\/((-5)\/20)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 1)*(-4 + (-316)\/(-8)). Let i = s - -22. What is the remainder when i is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.75676 years to centuries.\nAnswer: 0.7075676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**3 - k**3 + 670*k - 4*k**2 - 2*k**3 - 667*k to u + m*k**3 + v*k + z*k**2 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1201 times 11\nAnswer: -13211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -362*g - 66343. Determine i(-185).\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*y + 2*r, -3*r - r = -3*y + 26. Let f(l) = 20*l**y - 8*l**2 - 8 - 9*l + 2. Let u be f(8). Round u to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 2*n + n)*(-n - 4*n + 2*n) - 16*n**2 + 134*n - 134*n - 1 - 4*n**2 + 1 to x + w*n**2 + a*n and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -115619*b + 115617*b + 36 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 7 - 2)*(-338*y + 338*y + 19*y**3 + (-2 + 2 + y**2)*(-34*y - 33*y + 35*y)) to z*y**3 + c*y + m + d*y**2 and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*3*sqrt(1539) + 4*-1*sqrt(1539))*3)**2.\nAnswer: 6703884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26580 + -0.726.\nAnswer: -26580.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054270674 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 675\/72 + 9\/(-24). Suppose -3*b - p*g + 31 + 34 = 0, 0 = 5*b + g - 79. Calculate the remainder when 60 - (4\/(-2))\/(-2) is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*u + 1140 - 364, 0 = 5*u - 20. Suppose 0 = 5*y - 2874 + x. Calculate the remainder when y\/5 - (-12)\/(-30) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 + 12*r**2 - 37*r**2 + 9*r**2 + 10*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b*j*p**3 + 53*b*p**3 + 2*b*p**2 - 132*j*p**3 wrt j?\nAnswer: -b*p**3 - 132*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32404?\nAnswer: 2, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n - 1. Let f(o) = -6*o - 1. Let t(z) = -4*f(z) + 5*i(z). Let y(s) = -9*s - 2. Let x(w) = 5*t(w) - y(w). What is the derivative of x(g) wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 737*x + 32. Let n be v(1). Let h = -780 + n. Let a(p) = -17*p - 1 + 1 - 5. Let o(u) = 6*u + 2. Give h*o(k) - 4*a(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5816095.2 seconds to hours.\nAnswer: 1615.582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 z when four letters picked without replacement from zyyzyyzzzzz.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/6)\/((-2)\/(-78)). Suppose -2*i - 4 = -4*i, 3*i = j + 2. Suppose -h + g = j*h. What is the remainder when 24 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56837800?\nAnswer: 2, 5, 17, 73, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23855803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/7 - 675210\/21. Let p = 52353 + f. Round p to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13389 divided by -1\nAnswer: 13389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 475037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1150560 and 274380?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05507 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40323\/2828 - 6\/707. Sort 5, n, -4\/5, 0.02 in descending order.\nAnswer: n, 5, 0.02, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -413, -579, -925, -1505, -2373, -3583?\nAnswer: -5189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/27 and 86\/4641.\nAnswer: 41769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1533?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 0.0937 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 4*a**2 + 7*a + 11. Let l be q(-5). Solve s - 1 = l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6711 - 6711. Let g(z) be the second derivative of -9*z**4 + 17*z + 8\/7*z**7 + 0 + 291\/20*z**5 - 36\/5*z**6 + o*z**2 + 2*z**3. Factor g(k).\nAnswer: 3*k*(k - 2)**2*(4*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z**2 + 264*z - 146. Calculate c(-34).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/87075 and -7\/137385.\nAnswer: 6182325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*(-4 + 0). Suppose -d = -g + 3*x, 2*g + g + 3*x = 6. Let s(b) = 3*b**2 + b - 4. What are the prime factors of s(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 347*a + 443. Let k be v(-18). Which is bigger: -5804 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2844214*h**3 + 4756*h**2 - 75 wrt h.\nAnswer: 17065284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2339.\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 26 = 3*k. Let d be (0 + -2)*-1*1. What is the third derivative of 2*h**k + 0*h**6 + d*h**2 - h**2 wrt h?\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64271*g**3 - 128540*g**3 + 64270*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56583.6275 rounded to the nearest 10?\nAnswer: 56580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/48*160\/200?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 36*y**2 + 79*y + 121. Determine x(-38).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49301*s**2 + s**3 - 49301*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*1*-6)\/(-1*sqrt(28) - sqrt(28) - sqrt(28)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/22*(19 - 8). Is 40 a factor of 74*p + (27 - 22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 86.6 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/156 and -53\/80?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102010233 - -213332?\nAnswer: -101130301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -5. Let o = 13 + -9. Let n(l) = -7*l - 37. Let s be n(-6). Put s, r, o in ascending order.\nAnswer: r, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36828853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 5*x - 2. Suppose -5*v - 3*t = 1 + 5, 5*v = 3*t + 6. Suppose 4*f + 16 = 4*j, 5*j + f - 5*f - 22 = v. Calculate i(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548040 rounded to the nearest 1000?\nAnswer: 548000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 2*w - w)*(8 - 13 + 11) + w + 2*w - 2*w + (-3 + 2*w + 3)*(-1 + 1 - 2) in the form l + n*w and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2988108 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43783534*b**2 - 4*b - 7856931 wrt b?\nAnswer: 87567068*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -14 (c) 0.059 (d) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 17\/19597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 0 + 1\/6*g**3 + 0*g**2 - 1\/4*g**4 - 9*g. What is the second derivative of p(s) wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 17, r: 2}. What is prob of sequence vrr?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 979640 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/4 - 2727303*s + 2479393884603.\nAnswer: 3*(s - 1818202)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -501 at least -509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 171*b + 172*b + 3, 0 = 4*a - 2*b - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (315 + -319 - (-4 + 2 + -15)) + 13.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9276600 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 192.022 and 0.076?\nAnswer: 191.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t**2 - 14*t**2 + 8*t**2 - 20*t**3)*(t - t - 8*t**2).\nAnswer: 160*t**5 - 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 + -2. Let s = 1 + 4. Which is the nearest to 2? (a) 0 (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28814144 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j - 167. Calculate n(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 167282379 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 306?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379295769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, 2 in decreasing order.\nAnswer: 10, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72 - (-1 - 1)) + -200 + 175.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-585)\/(-117))\/(1 - 0\/1). What is the hundreds digit of (((-25)\/15)\/j)\/(5\/(-3765))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*g + 29*g - 735. Suppose -g*w = -60*w + 1936. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3, -13803210 in ascending order.\nAnswer: -13803210, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 61 - -1222?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9*w + 73. Let y be b(7). What is the first derivative of -90 + 15*x**3 - 6 - y*x**3 - 13 wrt x?\nAnswer: -363*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76658.\nAnswer: 2, 38329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 58, -2\/9, -1\/2, -2, 4\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 5*c**2 - c - 6. Let q(l) = 456*l**2 - 921*l**2 - 2*l**3 - 7 + 459*l**2 - l. Determine 7*a(m) - 6*q(m).\nAnswer: 5*m**3 + m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-360)\/160*((-224)\/(-60))\/7\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10230 and 56730.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 4433.\nAnswer: 35464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*p - 1065 = 18258, -g + p + 3859 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.115 and -0.4.\nAnswer: -0.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 580 and 116?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671*t**3 + 596*t**3 - 2062*t**3 + 557*t**3.\nAnswer: -238*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35593 + 35596. Let u(x) = x**2 - 7*x - 8. Let b be u(8). Suppose b = o + 4*o + 25. Put h, o, -2, -3 in descending order.\nAnswer: h, -2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**0\/f**(-5)*(f**12*f*f)\/(f*f*f\/f**(1\/7)*f) assuming f is positive.\nAnswer: f**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*p**3 - 168*p**2 - 171*p - 30.\nAnswer: -3*(p + 1)*(p + 5)*(9*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9532456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11522402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1777224523?\nAnswer: 17, 1321, 79139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1519 + -1150. Is b a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, k: 3, s: 5, h: 1}. What is prob of picking 2 k, 1 h, and 1 s?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -14402*p**3 - 8*p**2 + 5*p - 6. Let t(n) = 2*n**3 + n**2 - n + 1. Let v(g) = -m(g) - 6*t(g). Is v(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/4, -5, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and (228\/133)\/(3\/28).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18\/13 + 116\/65. Let d(x) = 28*x**3 - 1763*x**2 - 59*x - 247. Let o be d(63). Which is the nearest to 0.16? (a) t (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43221034 (base 6) in base 7?\nAnswer: 13602136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 5*q = -2. Suppose -8 = -q*x, -d = -x + 3*x - 11. Solve -5 = -i - d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16446721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*a**6 + 2*a**3*q**2 + 2*a**2*q**2 + 5*a**2*q + 2*a*q**2 wrt a.\nAnswer: 7680*a**3 + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 54*l**2 + 437*l + 606. What is y(-9)?\nAnswer: 1047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -509*x - 510*x + 0 - 25*x**4 + x**3 + 1022*x - 3 to f*x + h*x**2 + n + i*x**4 + s*x**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/12 + 10\/18*3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 - 5 + 4*r - 10*r + r**2 + 8*r to q*r**2 + o*r + n and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/5 - 13276*r**3\/5 - 5871528*r**2 - 21587509584*r\/5 + 86820610752\/5.\nAnswer: -2*(r - 4)*(r + 2214)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-28)\/(-2) - 5 - 3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {g: 1, x: 4, t: 2, j: 2, k: 2, n: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 1:10 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 + -139. Which is the nearest to -2\/87? (a) -0.5 (b) 1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2 + 3.5. Let p = 0.3 - g. Let a = 4 - p. Put 3, -0.5, a in ascending order.\nAnswer: -0.5, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 15 + 89. Let d = j + 63. What are the prime factors of d?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -8315 and 0.\nAnswer: -8315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86139*b**2*w + 11*b**2 - b + 22*w + 647 wrt b.\nAnswer: -172278*w + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-132)\/(-55))\/((-3)\/(-160) - 0). Let z = o + 123. Is 50 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5492*h + 8677346. Determine k(-1580).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a + 10. Let o = 3 + 1. Let g(s) = -s - 1. Let c(u) = 2*u + 7. Let r(n) = o*g(n) + c(n). Give 3*m(i) - 10*r(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*y - y - 3*j, -y + 5*j - 18 = 0. Find h, given that 109*h + 8*h**2 - 105*h + y*h**3 + 2*h**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638\/20097 + 1368734\/126 is divided by 1809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*z - 2*z, -2*z - 28 = -4*f. Let x(t) = -2 - 4*t + 3*t + 0*t. Determine x(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -177434240 to the nearest 100000.\nAnswer: -177400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*v + 3688 + 984 = 0 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.6 + -2.8. Let y = -5 - a. What is the nearest to y in -5, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h + 16*h + 5*d + 30 = 0, -h = d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t - 15 = 0. Suppose -4*k = -n - 9, 4*n = -0*n - 20. Suppose -h - k = 2. Sort 5, t, h in decreasing order.\nAnswer: 5, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/10 and 5\/1282.\nAnswer: 6410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 16 = 3*t + z, 2 = -3*t - 5*z. Let x(m) = -5*m - 6. Is x(t) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a tonne in kilograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11993, 48107, 108319, 192623, 301013, 433483, 590027, 770639?\nAnswer: 975313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1640 is divided by 333.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -3*f**5\/80 - 5*f**4\/48 - f**3\/12 + 3*f. Factor d(p).\nAnswer: -p*(p + 1)*(3*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*((-2*3*sqrt(300))**2 + sqrt(300)))*-6*6.\nAnswer: -2332836 - 2160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -5\/3, -7\/2, -0.014, 3?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 10 = 290. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -11. Let f be (-3)\/v*2\/12. Suppose 0*p + p + 3 = 0. What is the second smallest value in 0.2, p, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3*z + 30, 0 = 3*z - z + 10. Let u be (3*7)\/(13 - 10). Differentiate c + u*q**3 - 8*q**3 + 1 with respect to q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 0.02, -11966.\nAnswer: -11966, -2\/19, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*k - 27 = -386*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(90)\/(-1*sqrt(6))*1)\/((-2*sqrt(243)*-6 - sqrt(243) - sqrt(243))*-2).\nAnswer: sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 655 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: Let h(s) = -s**2 - s + 6. Suppose 4*x - 5*x = b - 2, -5*b - x + 2 = 0. Suppose 11*m - 6*m = b. What is h(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 105*x**2 + 2357*x - 653. Give s(32).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -112103.11?\nAnswer: -112103.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29664 is divided by 1178?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*w + 157 = 0, -5*d + 3*w - 1022 = -863 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3*i**2 + 14*b**3*i - 24*b**3 - 60*b**2*i**2 - 24*b**2*i - 1003*b*i**2 - 3*i**2 - i wrt i.\nAnswer: 4*b**3 - 120*b**2 - 2006*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*a - 200, -244 - 168 = -4*c + 4*a. Let n = c - 27. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -2 + 322\/(-368). Factor 0 - s*q - 1\/8*q**3 - 1\/4*q**2.\nAnswer: -q*(q + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i. Let z be 6\/(6*(-3)\/48). Let u = z + 18. Let g(w) = u*w**2 - 4*w + 3*w + w. Give f(g(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 3*k - 4. Let b be v(-3). Let p be ((-6)\/b)\/((-5)\/10). Calculate the common denominator of 31\/16 and 110\/15 + p\/(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12259 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, 208, 688, 1360?\nAnswer: 2224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(3 + 1 + -1). Let x(h) = 14*h - 1. Calculate the remainder when 25 is divided by x(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -5441366\nAnswer: -9\/5441366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10322607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(3) + sqrt(14))\/(6*sqrt(8)\/sqrt(4) + sqrt(2)).\nAnswer: 3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38519426102 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 - -5)\/((-2)\/62)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11134 and -479872?\nAnswer: 491006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y**3 - 2*y**2 - 7*y + 4. Suppose -2*v + 7*v = 5. Let k(h) = h - 1. Let g(u) = v*n(u) + 5*k(u). What is g(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.0618\nAnswer: 0.01854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27\/(-6)*64\/(-6). Let v = d - 21. What is the remainder when v is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353540.\nAnswer: 2, 5, 11, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3458, 13824, 31100, 55286, 86382, 124388, 169304?\n\"Answer: 3455*b**2 + b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 606*i - 4711 - 4379 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 819846317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 7)*(-6*v + 5*v**4 + 6*v).\nAnswer: -35*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 - 9*w**2 - 4*w + 11. Determine g(-5).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1619 is divided by 55.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 608459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -643*n - 2751. Give w(-7).\nAnswer: 1750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4722, -4, 0, -2, 1 in increasing order.\nAnswer: -4722, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 1. Suppose 0*q = 2*q - 12. Let f = 0 + q. Let a be 4\/18 + 404\/(-36). Let t(m) = -2*m - 2. Determine a*n(l) + f*t(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56682881 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 15*o**3 + o**2 + 6*o - 9. Is m(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 7:41 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45158760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000707162748 to seven dps.\nAnswer: 0.0007072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - f**3 + f**4)*(f - f - 2*f)*(-1 + 2 + 1 + (1 + 2 - 2)*(10 - 19 - 14)).\nAnswer: 42*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 3. What is the first derivative of -1 + 2 - 1 - 2 + n*s**3 wrt s?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 4*i**2 + i**2)*(11*i**2 - 29*i + 29*i).\nAnswer: -22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9883521, 9883503, 9883485, 9883467, 9883449?\n\"Answer: -18*a + 9883539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 3*t**2 + t + 4. Let p be v(-3). Is 3 + 138 + p + 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 6383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 2*h - 67 + 22 + 25.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18411 = 12*c - 17865. What is the remainder when c is divided by 144?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 0*n - 3*n - 16, n = -4*r + 16. What is the least common multiple of r and 46?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(6\/19))**(-38)\/(l**(-29\/4)*l*l*l**(-4\/5)) assuming l is positive.\nAnswer: l**(-399\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**7\/42 - 7*v**6\/12 - 5*v**5\/4 - 211*v**2 - 7*v. Let g(m) = 0. Calculate m.\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1958 and 211120282.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.79 to the nearest integer.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1554 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**4*i*i**(-8) assuming i is positive.\nAnswer: i**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(2\/19)*d\/d**(-2)*d**(-1\/12)\/(d*d**(-2)*d) assuming d is positive.\nAnswer: d**(917\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2377779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -246 in 1\/10, -467, 0.3?\nAnswer: -467","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 631317767 to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(70\/15))\/(104\/8372*-69)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*n - 12 = 0, -2*q + 5*n - 6 = -0*q. Let r be (680\/70 - 10)\/(30\/(-21)). What is the nearest to 1 in -2\/13, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/8)\/(c\/((c*c**(-1\/2)*c*c)\/c)) assuming c is positive.\nAnswer: c**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1175 = -841. Let n be (-681)\/c + 2 - (-8)\/(-12). Let r = -1\/87 - -91\/348. Which is greater: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 26*y**2 - 11*y + 2. Let c(h) = -16*h**2 + 9*h - 3. Let v(d) = 3*c(d) + 2*t(d). Let o(k) = k**2 + 2*k - 2. Give 8*o(r) - 3*v(r).\nAnswer: -4*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17724 is divided by 17710.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19788 + 362855. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d + 339. Let f be u(-43). Let r be 1\/((-8)\/(-536)) - f. What is the highest common factor of r and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -22*v + 18*v + 8, -4*y = 2*v + 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -321680.604546564 from 0.\nAnswer: 321680.604546564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -452395?\nAnswer: 135718.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2370 - 501 = 204*f + 115*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -1341*o + 1339*o - 50, -4*x + 3*o = -64. Solve 1 - x = -7*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5418005142?\nAnswer: 2, 3, 11, 7462817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(-3 + 3 - 3*q) + 9*q + 10*q + 3*q - 23*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 10449 = 10457. Let f(v) be the first derivative of s + 48\/5*v + 12\/5*v**2 + 1\/5*v**3. Factor f(k).\nAnswer: 3*(k + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + c = 1137 + 3144, -3423 = -4*m + c. List the prime factors of m.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3979112752?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - b61?\nAnswer: -b5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 66, 134, 330, 726, 1394?\n\"Answer: 12*s**3 - 8*s**2 + 8*s + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**4 - 5*g**3 + 110*g**2 - 220*g + 120 = 0 for g.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t**4 - 8*t**3 + 46*t**2 - 72*t + 33. Let o(x) = 2*x**4 + x**3 + x**2 - x - 1. Let w(r) = 2*g(r) - 6*o(r). Solve w(p) = 0 for p.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 797.\nAnswer: -2\/797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -893, -2009, -3571, -5579, -8033, -10933?\nAnswer: -14279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2416394 and 3858.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 18*j. Suppose 0 = 4*x + 16, -2*o - 2*x = 3*o - 2. Let p(h) = 7*h**2 + 3*h**2 - 33*h**2 + 14*h**2 + o*h**2. What is u(p(k))?\nAnswer: -126*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1932751234?\nAnswer: 2, 31, 41, 89, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 72*b**2 - 183*b + 2609. Give c(74).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.04, -3, 2, -6\/7 in ascending order.\nAnswer: -5, -3, -6\/7, -0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 54*w - 34. Let p be s(-20). Is 31 a factor of (-120)\/(-54) - 2 - p\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 371318.3 days in milliseconds?\nAnswer: 32081901120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 14*d**2 - 10*d - 15. Let l(y) = -66*y - 4688. Let v be l(-71). Determine x(v).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide (19 - 0\/3)\/((-188)\/(-144948))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 24 = 2*t, d - 18 = t - 4*d. Suppose -5*b + 6 = g, -6 + 4 = -t*b. Suppose v = g - 3. Put 3, -1, v in ascending order.\nAnswer: v, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(343) - -1*sqrt(343)) - sqrt(343) - (sqrt(343) + -3*sqrt(343) + 4))**2.\nAnswer: 168*sqrt(7) + 3103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2\/5 (c) 316.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 + 0.15. Which is the third smallest value? (a) 0.5 (b) s (c) 8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -5*s + 2 - 3*s**2 + 22\/3*s**3. Is b(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**3 - 592*n**2 - 25*n + 14800 = 0?\nAnswer: -5, 5, 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*f = -0*f + 7995. Calculate the remainder when 604 is divided by f.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1829196275?\nAnswer: 5, 73167851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.35. Let p = -134 - -133.87. Let v = d + p. What is v rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v + 2. Let c(w) = w. Let f(i) = 4*c(i) - y(i). Let p be f(-2). What is the units digit of p\/(-7) - (-32)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -35, -30, -23, -14, -3, 10?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7716022213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/117 and -1\/33947082.\nAnswer: 33947082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 141828?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = d - 0*v + 9, -14 = 2*d - 5*v. Factor -2 + 15*g**3 + 2*g**2 - 2*g - 6*g**d - 7*g**3.\nAnswer: 2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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 the remainder when 28493 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11149, -2417, 6315, 15047, 23779, 32511?\nAnswer: 41243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/3*3\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 17*u**2 + 17*u - 48. Calculate l(5).\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-124)\/434 + (-6092)\/(-7). What is the highest common factor of 42 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auau when four letters picked without replacement from uuuuaua.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/37, -3\/5, -1\/4 in descending order.\nAnswer: 0.3, -1\/37, -1\/4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(24)\/sqrt(432) + sqrt(2))**2 + -4*(sqrt(10)\/sqrt(5))**2) + ((sqrt(128) - sqrt(128)*2)*-6)**2 + 3*sqrt(8) + ((0 + sqrt(2))*-3)**2.\nAnswer: 6*sqrt(2) + 27851\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45170?\nAnswer: 2, 5, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -523 - -631. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 0*v**2 + 7*v**2 - 17*v**2 + (-247 + 64*v + 247)*(-1 + 1 + v).\nAnswer: 54*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39870 - 43803 = -171*u for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(88)\/sqrt(8))**2 + -3).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 104*z - 216. Let a be c(-54). Solve a = -n - 2*g - 15, -3*n + 14 = -5*g + 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32541 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p - 61*p**2 + 3*p + 3*p.\nAnswer: -61*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30\/1019 - 61588\/54007. Is 0 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 6:28 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65341 and 475798?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 25 = 14*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 9. Let h be a(12). Suppose -6 = -3*p + 3*j, h = 3*p + 2*j + 2. Solve 4*m = 11 + p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2)*(4 + -2). Suppose 0 = -4*u + 59 + 73. Suppose -2*l = -4*c + u - 11, 5*l - 4*c + 31 = 0. Put p, l, -2 in ascending order.\nAnswer: l, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110110 (base 2) in base 8?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 61\/2 of a microgram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**10)\/d)\/((d\/(d**(-4)*d)*d*d)\/d))**(-10) assuming d is positive.\nAnswer: d**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-18))\/j)**(-3)*((j\/((j\/(j\/j**(-1\/40)))\/j))\/j)**(13\/7) assuming j is positive.\nAnswer: j**(-15427\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 508 divided by -839992\nAnswer: -127\/209998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2225, 177, -5, 5 in increasing order.\nAnswer: -2225, -5, 0, 5, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013102323 (base 4) to base 13.\nAnswer: a2bc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 - 9*t**2 + 89*t - 325. Does 95 divide b(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 3\/(-2)*(-1404)\/243?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 16 = -4*k. What is the common denominator of k and 13\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*f + 4. Solve -4*x + 2*t - 1 = -f, -5 = -2*x - 3*t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:08 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 3*i + 2. Let u be 1 + (4214\/(-28))\/(1\/2). Let k = u + 297. Give s(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, i: 4, n: 9, v: 4}. Give prob of sequence siii.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**3 + 27*d**2 - 3*d + 58. Give y(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14331200 rounded to the nearest 10000?\nAnswer: -14330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/15)\/k**(2\/9)*k*k**(-1\/4)*(k**(2\/3)\/k)\/k)\/((k**(-1\/7)\/(k*k**2))\/(((k**(-2\/5)\/k)\/k*k)\/((k*k**(1\/6))\/k))) assuming k is positive.\nAnswer: k**(1139\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-1)\/(-6)*-40. Let q = p - -26. Suppose -q*i = -8*i + 74. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1365427723?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 10 = s. Suppose 1 - 71 = -s*o. What is the lowest common multiple of 16 and o?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + 3*w - 3. Let g be q(2). Let x(l) = -l + 15. Let a be x(g). Suppose a*i - 14 = 2*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(140\/(-1036)) + -15. Solve -12*i = n*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a hour in minutes?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - f + 7, 5*u - 22 = f + 3*f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v**2 + 24*v**2 + 24*v**2 - 70*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1487962 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - -128 - (-3)\/(-1). Let j be (-6)\/15 - x\/(-20). Let y be 12\/(-8)*8\/j. Let m(b) = -2*b**2 - 3*b - 3. Calculate m(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2324088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 498.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 246*u - 200.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -271822 - -394473. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -10*n. Let b(q) = -3 + 1 + 2 - q. Determine b(h(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*d = 21, 3*b + d - 5*d - 6 = 0. Suppose 0 = -0*r - 3*r - 36. Let j be (r\/15)\/(b\/5). Solve -j = -2*f - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.25113? (a) -0.025 (b) 3 (c) -0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k**(-1\/2)*k))**45)**(-7\/8)\/(k**(-6)\/(k\/k**0))**(-4) assuming k is positive.\nAnswer: k**(497\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -160, 0.4, -9?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6379 - -76597\/12. Find the common denominator of r and 89\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 338 - 334. Suppose 2*d - 2603 = -3*k, -7*k = -4*k + l*d - 2599. What are the prime factors of k?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274996475 a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -o - 4*k, 21 = -2*o + 3*o - k. Suppose -c + 3 = -o. Suppose 4*y - 68 = 2*q, -y + 1 = -3*q - c. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-9)\/108)\/((-6)\/412) and -23\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k. Suppose 0 = 4*y + 5*c - 16, -15*c + 10*c = 20. Let b(t) = -256 - y*t + 256. Determine h(b(i)).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, 1, 5, -1 in ascending order.\nAnswer: -5, -1, 1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15995782 is divided by 391?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -17*g - 205. What is p(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 162*g**3 - 30 - 51 + 81.\nAnswer: 162*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 684 and 4?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1bc7478 (base 14) to base 7\nAnswer: 226242411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*g + 54 - 24, -3*u + 15 = 0. Put -1, 1, 11, g in decreasing order.\nAnswer: 11, 1, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7977 - w**3 - 4*w**3 - 5*w**2 + 2*w**3.\nAnswer: -3*w**3 - 5*w**2 - 7977","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssidumssisuusu. What is prob of sequence id?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 62, 94?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 74*l**2 - 71*l**2 - 3 + 0 - 3*l**2 - 3*l**3.\nAnswer: -3*l**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 6, -21787, -143?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-185)\/(-111))\/((-4)\/6)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21494 + -13347. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - m + (-4 + 4 + m)*(-1 + 2 + 1))*(-957*m - 171*m - 378*m).\nAnswer: -1506*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/1 + (-34)\/14. What is the nearest to 0.1 in f, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4. Let v(x) = x + 5. Let k(d) = 5*l(d) + 4*v(d). Let g(o) = o. What is k(g(p))?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/8)\/(1\/(16\/(-54)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 4*h - 81. What is the greatest common divisor of 484 and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3529873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1525, 0.08, 5, 4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 548951450 to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-24)*63756\/1127.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2 + (5 + -1 + sqrt(72) - ((sqrt(72) - (sqrt(72) + -2)) + 4)))*-3 + 2)**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*a + 51, 4*a - 8*a + 100 = 4*d. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.113 + -24.213. Which is the smallest value? (a) -0.16 (b) 5 (c) m (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-210)\/25)\/(262\/(-1572)*(-18)\/(-10)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 2861.29?\nAnswer: 14306.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 3. Let f(l) = l**3 + 5*l**2 + 3*l. Is 4 a factor of f(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -18*y - 2. Let d(w) = 6*w**2 + 2*w - 2. Determine m(d(z)).\nAnswer: -108*z**2 - 36*z + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 9*i + 4. Suppose c + p = 15, i*c + 2*c + 3*p = 60. Suppose -24000 = c*a - 13*a. Round a to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 55*p*s**2 + 25*p*s*t - 465*p*t - 3*p + 6*s*t + s + t + 35 wrt s?\nAnswer: 110*p*s + 25*p*t + 6*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 10:06 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/(-54) - ((-64)\/(-12) - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434*z - 39 - 626*z + 302*z - 1529*z - 886*z.\nAnswer: -2305*z - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 17*w**2 - 10*w + 21. What is p(17)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, and 1 z when three letters picked without replacement from ccbcbzzcczcbcczc.\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*x - 437 - 313 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1356 - 4396 = -10*w. Calculate the highest common divisor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9356981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36.26 - 0.74. Let g = n - -37.00068. Round g to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 - -0.22. Which is the nearest to j? (a) 0 (b) 2\/3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 57\/(-21) - (-2)\/(-7). Let r = 3 - f. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 107.4265 centimeters?\nAnswer: 1.074265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8211\/8 + 1024. Let j = 234 + -2570\/11. What is the common denominator of j and i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 44*f - 218 = 0, 4*i = i + 7*i - 4*f - 28 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1128485 - 1388036689\/1230. What is the common denominator of -139\/4510 and i?\nAnswer: 13530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 36. Let q = -0.4 - -0.3. Which is the nearest to o? (a) q (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**4 + 9*t - 3*t**4 - 6*t - 3*t**3. Let v(b) = -b**3 + b**2 + b. Let i(w) = -q(w) + 3*v(w). What is the third derivative of i(m) wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 241, 204, 155, 88, -3, -124, -281, -480?\n\"Answer: -d**3 - 30*d + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1452, -1398 in descending order.\nAnswer: 0, -1398, -1452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2251*h**2*k**2 + 1811*h**2*k + 108*h*k + 13*h - 21702*k**3 wrt k?\nAnswer: -4502*h**2 - 130212*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256134 is divided by 204?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 2*s - 4500. Let n be (-4)\/(-22) - s\/(-66). Suppose -3*z + n*z + 2520000 = 0. What is z rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 20 = -2*n, -q + 0*q = -n + 4. Suppose n = f - 5*f + 2*w + 8, 5*f + 3*w - 21 = 0. List the prime factors of 56\/6 - 1\/f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -13*l**3 + 2*l**2 + 6*l - 1267. Determine c(0).\nAnswer: -1267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 1609 - 1627. Suppose 727 - 169 = 3*g. What is the highest common divisor of u and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 260\/36 + -7 - (-25)\/9. Let h(i) be the first derivative of 0*i + 2 + 0*i**k + 1\/2*i**2 + 1\/2*i**4. Find the second derivative of h(j) wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 15*u**2 + 11*u + 7. Let b(r) = -3*r**2 + r - 1. Give 3*b(q) + w(q).\nAnswer: 6*q**2 + 14*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 0.2, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -315.07 times -9.5?\nAnswer: 2993.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 34\/8 - (-6)\/(-24). Suppose 12 = 4*c + g. Let l(o) = -6*o**c - o**2 - 20*o**2 - 8*o**2. Let m(h) = 2*h. Determine l(m(k)).\nAnswer: -140*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1038 - 949) + (-9 - 0)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q + c = 0, -2*q = c. Suppose -m - 2*n + 10 = q, 4 = -0*n + n. Suppose g - 5*r + r = -m, 0 = 3*g + 4*r - 10. Which is greater: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 36*w - 5544.\nAnswer: 4*(w - 33)*(w + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 2*l**2 + 88 - 48 + 3.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 6*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Find the third derivative of -c**2 - c**3 - c**3 + 2*c**a wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -18, -1 in descending order.\nAnswer: 4, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = 15*i + h + 8, 0 = i + 3*h + 34 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) + 0)*3 - (3 + (sqrt(200)*1 + sqrt(200) - sqrt(200))) - (4 + (sqrt(200) - (sqrt(200) + 1)) - (-5 + -1*sqrt(200) + sqrt(200))))*4*-1)**2.\nAnswer: -7040*sqrt(2) + 14736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7910 + 11268. Suppose -9*m + d + 647 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345836 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0699 - 1.9301. Let k = -6 - -11. Let u = -10 + k. Which is the second smallest value? (a) -2\/3 (b) q (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 + q - 4. Let r(a) = -a + 1. Let p be r(5). Let v be k(p). Let x = 43 - v. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21, 4, -1, 523, -5, -2 in decreasing order.\nAnswer: 523, 21, 5, 4, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(1 + 40\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/2, 9, -8 in decreasing order.\nAnswer: 9, 0.2, -1\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*k**4 - 91799*k**3 - k**2 + 367625*k wrt k?\nAnswer: 84*k**2 - 550794*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.65282389 to four dps.\nAnswer: 1.6528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1584 - 1583. What is the nearest to -0.1 in z, -3, 0.04, 4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(2*q - 10*q - 3*q)*(-16*q**3 + 0*q**3 - 23*q**3).\nAnswer: -429*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5226*n + 1202039. Calculate l(-230).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4\/5 + 50*z**3 + 1022*z**2\/5 + 1286*z\/5 + 516\/5 = 0 for z.\nAnswer: -2, -1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -312\/7 or -46?\nAnswer: -312\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 + (-80)\/(-15). Find the third derivative of -5*n**r - 34*n**5 - 66*n**2 + 71*n**2 wrt n.\nAnswer: -2340*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 2919546?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**8\/6720 - b**7\/630 - b**6\/180 - b**4\/6 - b. Let s(n) be the third derivative of o(n). List the prime factors of s(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 62*k**2 + 231*k + 5755. Calculate n(-65).\nAnswer: 3415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + y - 1. Let f be r(2). Suppose -f*p - 10 = -10*p. Solve b = p + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13605053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 0 + 0)*(-3*f + 3*f - 4*f) + (-3 + 2 + 0)*(-2*f**2 - 1 + 1) + f**2 - 4*f**2 + 2*f**2.\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37485200 is divided by 749.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f + 6. Let y = -13 + 7. Let l(c) be the first derivative of c**2\/2 + c - 1. Give y*l(m) + u(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 108\/14 - 28\/(-98). Suppose -i*b + 5*b = -171300. What is b rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m - 28. Calculate j(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*(-25)\/270 + (16 - 15). What is the fifth smallest value in o, -4, -0.2, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -324 + 1b?\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-30)\/4) - (-48)\/70. Let c be (-6)\/(-7)*(-8)\/(-6). Factor 0 + w*j + c*j**2.\nAnswer: 2*j*(4*j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 668 and 177384060?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2860 and 143060.\nAnswer: 20457580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 74 = 4*p. Factor -p*d**5 + 25*d**5 + 6*d**2 + 0*d - 6*d**4 - 3*d.\nAnswer: 3*d*(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(((-6075)\/(-20))\/45)\/((-9)\/(-8)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -429, -401, -319, -177, 31, 311?\n\"Answer: b**3 + 21*b**2 - 42*b - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 1287 + 813 = 0. Is k a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.1 - 17. Which is the third smallest value? (a) d (b) -9 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 14597682?\nAnswer: 14597682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6 = w, -6*w - 4 = 3*c - 2*w. Calculate the common denominator of 7\/(-4) + -1 + c and 43.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - c + 17 - 29 = c, 0 = 3*c - 18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -47?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4820.9834 - -4822. What is d rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/10)\/(168\/6300)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {j: 14, f: 5}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13667 times 0.0379?\nAnswer: -517.9793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2657, -5298, -7903, -10460, -12957?\nAnswer: -15382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86 - -189. Let i = j + -95. Suppose 4*n - 5 = -5*w, -2*n + 3*w - 1 = 2. Solve 0 = -3*d - 2*d - 3*k + i, n = -d + k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424601 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 599*j - 26. Let q(b) = 602*b - 31. What is -6*c(w) + 5*q(w)?\nAnswer: -584*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from eadaflfd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/22 and -37\/2722.\nAnswer: 29942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9b357 (base 12) to base 4\nAnswer: -302110303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78522\/2779 + 12\/397. Suppose 104921*y - 104951*y + 840 = 0. Which is bigger: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - 11\/3)\/((-70)\/18270) is divided by 237.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 6:38 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 15\/11, -4, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5760 = 76137*p - 76132*p. Calculate the highest common factor of p and 672.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**4\/4 - 26*n**3\/3 - 82*n + 21. Differentiate p(o) wrt o.\nAnswer: 3*o**2 - 52*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*k + 1. Let h(j) be the third derivative of 0*j - 1\/210*j**5 + 1\/140*j**6 + 0*j**k + 1\/1176*j**8 + 0*j**4 + 2*j**2 + 0 - 1\/245*j**7. Factor h(g).\nAnswer: 2*g**2*(g - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = i - 5*i + 16, 0 = -2*p - 2*i + 14. Let n(q) = -4 + 3*q**p + 4. Let x(g) be the third derivative of -g**4\/12 + g**2. Determine n(x(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123 - -165. Calculate the greatest common divisor of o and 1918.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 + 133. Let j(n) = -39 + u + 4*n. Suppose -5*o = 2*q + 19, 14 = -4*q - 3*o + o. Give j(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from plkgkickppiglipkgigp.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -342423 + 301?\nAnswer: -342122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 415486 < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -o, -5*c - 3*o = 2*o + 10. What is the remainder when c is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 199*f**3 + 2*f**2 - 2*f + 1. Let a be (-1 - -3)\/(5 - 3). Let o be t(a). Suppose 4*u = -2*y + 6*y + o, 5*u - 258 = 3*y. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**4\/3 + 13*o**3\/3 - 55*o**2\/3 + 25*o = 0.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*p - 0*p - 4, 2*p - 14 = -5*u. Let g = 6 + -6.01. Let i be (7\/21)\/((-5)\/(150\/55)). What is the nearest to g in p, 2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 7*g**2 - 6*g - 3. Let r = -1 - -2. Suppose 29 = -4*y + r. Let v be q(y). What is the greatest common factor of v and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 17*z**2 - 2*z + 2. Let f(c) = 8*c**2 - c + 1. Let x(b) = -9*f(b) + 4*w(b). Give x(3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 595810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5225506315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1702 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -17, -23, -29, -35?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.1. Let h = 206.2 - 206. What is the third smallest value in h, t, -0.03?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -967 - -970. Factor -7\/8*s**2 + 1\/8 + 1\/2*s**l + 1\/4*s.\nAnswer: (s - 1)**2*(4*s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 5 + 0 + 3586 + 43 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 944 = -2*o + 4*a, -a = 3*o + 1396. Let t = 960 + o. Is t a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -1. Suppose 6 = g*n - n. Factor 0*t + 0 + 1\/2*t**n + 1\/2*t**4 - t**3.\nAnswer: t**2*(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 7696214?\nAnswer: 69265926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1178755925 or 1178755926?\nAnswer: 1178755925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -509*g - 3. Let n be y(-3). Let q be (-2)\/6 + 2782\/n. Let v = q + 1\/127. Which is the closest to -2\/3? (a) 3\/8 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5653803 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25071\/(-188923) - 6\/(-42)?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j**2 - 231 - 2*j - 162 + 393.\nAnswer: -19*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15 - 78 - -82)\/(-1 - 0). Let m = 2 + -6. Which is the nearest to -1? (a) -3\/2 (b) r (c) -1\/3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220400 and 77400?\nAnswer: 85294800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/11))\/h)**(-2\/27) assuming h is positive.\nAnswer: h**(-4\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (2865\/(-120) + 14)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0892 and -19071091.\nAnswer: -19071090.9108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(1\/4))**39)**(-27))**(-32))**(-21) assuming q is positive.\nAnswer: q**(-176904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/14297427 and 16\/1588603.\nAnswer: 14297427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.03 + -0.82. Let n = -3 - s. Round n to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 1, f: 5, p: 3, k: 2}. Give prob of picking 1 k, 1 f, and 1 m.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2049024 by 170752.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 12*x - 14. Let r be o(-14). Suppose -5*f + 1 = -r. Let t be 21\/27 + (-4)\/(-18). Sort f, -1, t.\nAnswer: -1, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w - 1. Let d(m) = m + 1. Let v be d(-2). Let o be g(v). Let x be 5\/o + (-2)\/6. Which is the nearest to x? (a) 1\/3 (b) -0.4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1203*r + 12*r + 1740*r = -265950 for r.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12001432 - -20?\nAnswer: -12001412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47256 by 716.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(12)\/sqrt(3)))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.2, -5, 2\/139, -0.385, 0.08, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22212221 (base 3) to base 4\nAnswer: -1211032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3349471 by -3.\nAnswer: 3349471\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 7*w + 4. Let r be b(-8). Suppose -y + 5*y - r = 0. What is the first derivative of 0*o**3 + 7 + o**3 - 5*o**y wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109194, -218903, -328624, -438363, -548126, -657919, -767748?\nAnswer: -877619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 819 + -818.9999057. What is h rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*u - 5. Suppose u*k = k. Suppose k = 2*v + 4*d - 6, 29 = 4*v - v + d. Calculate the remainder when 21 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8*(3 - 20\/8). Solve -4*z - 4 + 30 = -2*p, 2*p - 6 = -b*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 + 125. Suppose -2*b - 5*u - 41 = 0, 6*b = 2*b + u - v. Let a = b + 54. Round a to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 4*x + 34*i - 38, i = -6*x - 6 + 33 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*w**5 + 12*w**4 - 189*w - 1 wrt w.\nAnswer: -120*w**3 + 144*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 85353226 to the power of 1\/2, to the nearest integer?\nAnswer: 9239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zffoz. Give prob of picking 1 o and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*t - z - 12, 0 = 4*t + 3*z - 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1394*l**3 - l**4 + 14*l + 1392*l**3 + 1 - 3 + 0*l to the form v*l + c*l**2 + w + g*l**3 + f*l**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2108 = t - 5*t, 0 = 5*t + 3*h - 2598. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -57*g + 29*g. Solve -12 = -5*j + 2*k, 2*j + 10 = 5*j - g*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z = 6856 + 1144. Let l = -298 - -48. Is z at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 3*u - 5. Let i(l) = l**2 + 7*l + 9. Let r be (6\/(-4))\/(6\/16). Let q(s) = r*i(s) - 7*t(s). Does 11 divide q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z - 25 = 0. Let m(y) be the second derivative of -y**4\/12 - 5*y**3\/6 + 2*y**2 - 6*y. Determine m(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1800 divided by 8?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*h - 32, -2*x - 2*h - 1 = -13. Suppose -64*k = -69*k + x. Let w(a) = -a**2 - 4*a + 3. Let j be w(-4). Solve -j*z = -k*z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 + 0 - (-392 + 158 - -282).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 275, 311\/5, 3 in decreasing order.\nAnswer: 275, 311\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(4614 - 2065 - 1931 + 3 - 6 + 1 + (1 + 2 - 1)*(2 - 2 + 2) + 4 - 4 + 2)*(-3*a**2 - 2*a**3 + 3*a**2) as k*a + j*a**3 + v*a**2 + p and give j.\nAnswer: 2488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/12*17235\/1149.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(8\/(-6)))\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbw when three letters picked without replacement from cvqwqbub?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118866220*z**3 + 50*z**2 - 600828?\nAnswer: 713197320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 50*z**2 - 52*z - 37. What is j(-51)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*u - 21*u + 26*u + 238 - 16*u + 15*u as i + v*u and give i.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 = 2*k - 4, 4*k = -2*v + 18. Is (k\/(-6))\/(2\/(-2212)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 262 = -3*r. Suppose -1130*d + 53 = -1114*d - 27. Calculate the smallest common multiple of r and d.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -507a94 - -471?\nAnswer: -507623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -117\/4 or -30?\nAnswer: -117\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58\/60)\/29*(-405)\/270.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 25*w - 667. Give s(24).\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 52460 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.60574 and -6.13315292.\nAnswer: -4.52741292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11375856 to the power of 1\/2, to the nearest integer?\nAnswer: 3373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 5*x**4\/4 + 23*x**3\/2 - 11*x**2. Let j(u) = -10*u - 23. Let d(m) = -8*j(m) - 3*k(m). Find the first derivative of d(l) wrt l.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38996 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10195 is divided by 2038?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.7 - -0.7. Let s be (-1 + 2)\/((-1)\/(-2)). Suppose d = s*k - 5, -4*k - 2*d - 4 = 6. Which is the second smallest value? (a) 0.5 (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 - 128. Let y be (-64)\/6*(t - -7). What is the greatest common divisor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.6 - 15.6. Let g = 47 + r. What is g rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c*f**4 + 149902*c*f**2 - 2683115*f**3 - 936*f**2 wrt f.\nAnswer: -144*c*f - 16098690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 15 = -c. Let u be -4 - (3 - 4)*10. Suppose u*t - c*t - 308 = 0. Round t to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**3\/3 + 355*x**2 + 1946*x + 2377. Differentiate q(w) wrt w.\nAnswer: 2*w + 710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 291955.\nAnswer: -17\/291955","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from {r: 1, e: 1, f: 9, s: 1, g: 2, q: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 29 = -2*f + 3*t, -4*f + 48 = -4*t. Suppose w + 6234 = f*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -3218?\nAnswer: 3218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 4)*(-4*m**2 - 6 + 6)*(24*m + 24 - 24 + (-5 + 5 - 2*m)*(6 - 6 + 7)) as c*m**2 + o + z*m + p*m**3 and give p.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l - 2*l)*(-5*l + 2*l + 4*l) + (73*l + 2016 - 2016)*(-3*l + 0*l - 2*l + (-1 + 3 - 1)*(-4*l - 30 + 30)).\nAnswer: -658*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8159 - 8164. What is the second biggest value in n, 0.0164, 2?\nAnswer: 0.0164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.33619478 rounded to 2 decimal places?\nAnswer: 44.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/58300 and -89\/5500?\nAnswer: 291500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*t + 23. Suppose x + 10 = t*x. Is (3 + -2)*18\/x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/12)\/((-80)\/(-12)). Let m(f) be the second derivative of -f + 0*f**2 - b*f**5 + 0 + 1\/24*f**4 - 1\/60*f**6 + 1\/12*f**3. Solve m(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9947, 5, 11, -746 in ascending order.\nAnswer: -746, 5, 11, 9947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17, 1, -4, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -30. Is 12 a factor of (-42)\/4*l\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/4, -1\/4, -2 in descending order.\nAnswer: 1\/4, -1\/4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2043*z - 2108*z + 554 = v + 1596, -2*z = -5*v + 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0 + (1 - 4 + 2)*(-5 + 2 + 2) + 4 - 4 - 2)*(-b + 1 - 1)*(-17 + 17 + 22*b).\nAnswer: 44*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1817 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzp when four letters picked without replacement from {p: 6, z: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55007*k - 23677*k + 121632*k + 75435*k.\nAnswer: 228397*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b + 424. Let h(w) = w**2 + 45. Give h(i(k)).\nAnswer: 49*k**2 - 5936*k + 179821","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/(-3))\/(6\/(-9)))\/(220 - 221) + -93?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 118*i + 55?\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y**2 - 78*y + 78*y in the form a*y**2 + q + f*y and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/24 + 13*d**3\/6 + 2*d**2 + 2*d. Let j(p) be the first derivative of q(p). What is the units digit of j(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48868791601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + x)*(-2*x**2 - 3*x**2 + 3*x**2 + (2*x + 2*x - x)*(1 - 1 + 2*x)).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134739, 269482, 404225, 538968, 673711?\nAnswer: 808454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -55*y - 2. What are the prime factors of i(-1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6111850 to the nearest 100000.\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2) + -2 + (-9)\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -870282493005.86099856 + 870282574006. Let d = -81000.2 + w. Let r = d + 0.061. What is r rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5 - 32*i**4 - 162*i**3 - 292*i**2 - 160*i = 0. Calculate i.\nAnswer: -8, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/27)*i**25*i assuming i is positive.\nAnswer: i**(701\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2357 + 2357 + v**5 + 89*v**4 + (16*v - 4*v + 0*v)*(v**3 - 2*v**4 - v**3) - 3*v**2 + 3*v**2 - 2*v**5.\nAnswer: -25*v**5 + 89*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l + 13*l**2 - 66*l**2 + 20*l + 1 - 7*l.\nAnswer: -53*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3) + 15069\/(-666). Let j = x - -165\/37. Find the common denominator of -111\/10 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 48 - 579. Suppose 4*j - u = -5*s, 43 = 4*j - 5*s - 84. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sis when three letters picked without replacement from ibsiqis.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 8)*(-3 + 2). Let y(s) = s**3 + 7*s**2 + 11*s + 13. Let g be y(z). Let r = g - -54. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 13*u - 20. Determine t(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 162\/79?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ef709 + 1?\nAnswer: -ef708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8303768 and 49038?\nAnswer: 24911304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -10*q**3 + 5*q**2 + q - 4. Let i(j) = j**3 - j**2 - j + 1. Let f(x) = 3*i(x) + s(x). What is the units digit of f(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 1\/5 (c) 0.5 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Suppose i + 24 = -p. Let d be 2 - 15\/i*-4. Which is the third biggest value? (a) 0 (b) d (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 753. Suppose -n - 4*n + 3*x + h = 0, 2*x - 143 = -3*n. What is the remainder when n is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 384, 1029, 2022, 3363?\nAnswer: 5052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*w - 3*p + 799, 2*p = -6. What are the prime factors of w?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + s + 3 = 0, 5*w + 21*s + 95 + 0 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114831013?\nAnswer: 11, 10439183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 39 = 16*i. Solve i*y + 9 - 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -24*d + 20*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 145*-15\nAnswer: -2175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 9:19 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49140 by -117.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -8)*((-60)\/(-10))\/(-108)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -864 divided by 3\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 2\/43, 0.041, 3, 2?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4\/6 + 205*k**3\/6 - 7058*k**2\/3 - 1668134*k\/3 + 2259592 = 0. Calculate k.\nAnswer: -166, 4, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a1 (base 14) to base 4.\nAnswer: -113221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3173 * -905.\nAnswer: 2871565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w + 28. Let s = -633 - -671. Suppose 98 = -6*f + s. What is y(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22, 4, 2, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 6*h - 12. Is (14\/h - 1)*(-23966)\/(-115) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -22 in decreasing order.\nAnswer: 3, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5110803 minus 0.2?\nAnswer: 5110802.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Suppose -4*q = 2*j - 18, 3*j - z*j - q = -6. Let x(u) = -7*u - 1. Let i be x(j). What is the greatest common factor of 24 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at least as big as -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 68963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*h - 2729216 = 627676. Does 49 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**2\/3 - 11204*d\/3 + 977496 = 0.\nAnswer: -3042, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56698.63312 - -56690. Let h = 8.91312055 + c. Let y = h - 0.28. What is y rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 5*f = 1944. Suppose -3*x + f = -x. Suppose -3*i = -9*i + x. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4bbc1 + -2?\nAnswer: -4bbc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2*q + 25 = 0. What is the remainder when -9*(-306)\/189 - 8\/14 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 27*g**2 - 76*g - 75. Suppose 0 = v + 3*i + 6, -3 = 3*i + 9. What is the remainder when y(-1) is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -1\/2 (c) -48073\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 153 - 41. Let h = c + 31. Let r(s) = 12*s + 4*s**3 - 7 - 3*s + 6*s**2 - 5*s**h. What is r(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0*n - 4*y + 3049984, 0 = -y - 4. What is n rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 10) to base 12\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6885 = -413*j + 7953 + 3186 + 561 for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*a + 62*a - 3*o - 13 = 0, -2*o + 23 = 9*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 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: Let q(b) = -576*b. Let g(a) = -3*a. Determine g(q(n)).\nAnswer: 1728*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) - ((0 + sqrt(1377)*5)**2 - sqrt(1377)) - (sqrt(1700) + 3*sqrt(1700))*6.\nAnswer: -34425 - 222*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h**2 + 21 + 2 + 0*h**2 - 1356*h**3 - 104 + 27*h**3 wrt h.\nAnswer: -7974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4887 and 1.\nAnswer: 4887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*w. Suppose 0*f = -k - f + 7, 4*f = 12. Suppose w = -k*i - 4*j - 7 + 3, 5*j + 3 = -3*i. Sort 0, 2, i.\nAnswer: i, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a9 (base 11) to base 3\nAnswer: 111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-181)\/(299012\/15222))\/((-6)\/14)\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001045063 to 5 dps.\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4654 (base 8) in base 6?\nAnswer: 15244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -733829*v**3 + 367626*v**3 + 366210*v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 2) to base 8\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 7. Let q be t(-5). Let r(m) = 4*m - 4. Let c(f) = 4*f - 3. Let b(n) = q*c(n) + 2*r(n). Suppose 26*u + 62*u + 53*u + 141 = 0. Determine b(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*w - 90. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82.37 - 67.67. Which is the second biggest value? (a) 2\/5 (b) m (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gciggiicggicg.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2\/(-13) + 840\/52 + -2 and (32\/12)\/4*3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 582, 9937, 25536, 47385, 75490, 109857, 150492?\n\"Answer: x**3 + 3116*x**2 - 2535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + f + 260 + 572 = 0, 0 = d + 3*f - 274. Let z = d + 54. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1800? (a) 19 (b) 3\/2 (c) 0.2 (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 5*c - 7. Let i(m) = -2 + 0 + 1. Let o(j) = 4*i(j) - u(j). Determine o(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/n)**(-2)\/(n*n\/(n\/n**11)*n*n**3) assuming n is positive.\nAnswer: n**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -215.2 - -205.2. Let n = -5.11 - -0.11. Which is the smallest value? (a) w (b) -0.06 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2\/(-26))\/((-4)\/(-44)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1303*f + 660 = -1333*f for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1926192 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 4:16 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**2\/7 - 254264288*w\/7 - 8081291019018368\/7 = 0?\nAnswer: -63566072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*346\nAnswer: 69.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*p + 5*x + 14, p + 4*x = -34. Let y(r) be the second derivative of -2\/3*r**3 - 1\/20*r**5 + 0 + 2*r - 7\/12*r**4 - 1\/2*r**2. Determine y(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61748458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 989 is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**6 + 4*y**5 - 22*y**4 + 4*y**3 + 6*y**2 - 4*y. Let u(p) = p**5 + p**3 - p. Let l(o) = f(o) - 4*u(o). What is the third derivative of l(n) wrt n?\nAnswer: 360*n**3 - 528*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.8 times 5?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12376, -24747, -37118, -49489, -61860, -74231?\n\"Answer: -12371*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 704 + -698. Let o be (-20)\/16*(0 - -2 - c). Solve s = -4*p + 21, o = -5*s + 3*p - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((46\/(-138))\/(4\/6))\/((-88)\/8).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86 - -110) + (-25 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -374, -661, -1130, -1775, -2590, -3569, -4706, -5995?\n\"Answer: z**3 - 97*z**2 - 3*z - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, a: 7, r: 4, q: 1}. Give prob of sequence rea.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -25*d**2 - 11*d - 2. Calculate a(-2).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10341 (base 11) in base 12?\nAnswer: -8861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 10*w = -12. Let t be -4*w\/(-24)*6. Find the third derivative of -x**t - 7*x**2 + 7*x**2 + 2*x**3 + 7*x**2 wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-3 + 12 + (4 - 15) - -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8935063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50138567.4011 - 12.\nAnswer: -50138579.4011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -3, 804, -4, 5, -1 in descending order.\nAnswer: 804, 5, 4, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 679, 1556, 2777, 4342, 6251, 8504?\nAnswer: 11101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yytwwttwywywyywywwty. Give prob of sequence ttww.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*f = -4*a + 77*f, 36 = 5*a + 2*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 0*r**3 - 3*r - 18 + 12 - r**3 - 3*r**2. Let g be c(-3). Suppose g*z = -16*z + 16663. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/756 and -37\/6615?\nAnswer: 26460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3556, 3070, 2260, 1126, -332?\n\"Answer: -162*s**2 + 3718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 35*x**3\/2 - 133*x**2\/2 - 176*x - 221. Let l(k) be the first derivative of z(k). Differentiate l(v) with respect to v.\nAnswer: 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 879993, 879986, 879965, 879924, 879857?\nAnswer: 879758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 293861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(20\/14)*(13\/(-5))\/((-13)\/(-130)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -391, -387, -383?\n\"Answer: 4*s - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 100 - 179. Suppose -4*t - 147 = -3*t. Let j = l - t. Calculate the remainder when j is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 892.87 + -888. Let p = o + 0.13. Let q be 2\/(-30)*(2 - 0). Which is the second smallest value? (a) -5 (b) q (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*o**3 + 40\/3*o**2 - 84 + 18*o.\nAnswer: -2*(o - 21)*(o - 2)*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - ((4 + -17 + -2 - -1) + 8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 5. Let f be w(-7). Suppose -4*r - 20 = z, 6*z - 4*r = f*z. Let c = z - -6. Solve -5*n + 2*l = 6, 0 = -3*n + c*l - 1 - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/14)\/((-23)\/138)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**27*g)\/g)**(-1\/19)*g**(-3\/20)*g*g\/g**(-2\/9) assuming g is positive.\nAnswer: g**(11767\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2 - 182504*f = 0?\nAnswer: 0, 91252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 24 + -61 + 14 - (-3 - 39).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2893 + (0 - 20*6\/12) is divided by 956?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55752*u + 54810*u - 22608 = 0 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = -28 - 5. Let h(s) be the second derivative of 5*s + 0 + 0*s**2 + 0*s**a - 1\/110*s**5 + 1\/66*s**4. Determine p so that h(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -109?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 12 = -13*a + 14*a, 4*r - a = 15. Let d(j) be the first derivative of 0*j + 1\/3*j**r + 1 + 1\/2*j**2. What is the second derivative of d(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*6\/70)\/((-2320)\/(-1624))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2\/3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 13234*h - 13229*h, 0 = 5*p + h + 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -402*w - 1787. Determine t(-6).\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 6462*a - 6467*a + 37, -2 = 2*a + 4*p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*b + 25*b - 9*b)*(5*b - 2*b - 2*b) in the form o + i*b + c*b**2 and give c.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5061 + -5061. Sort j, -9, -5, -6 in ascending order.\nAnswer: -9, -6, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*x - 4. Let i = -1 - -6. Suppose -4*y - i = -29. Solve -x = 4*z - 3*q - 20, 0 = -z + q + y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2739821*j - 2739798*j + 46 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -0.03, -33, 0.2, 0.3, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 827635966?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 2*w + 3*w)*(2 - 2 - 1).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.061 + -4.939. Which is the third smallest value? (a) m (b) 0 (c) 60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1584 and 27696.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1020*g**2 + 1821*g**2 - 9*g - 1282*g**2 + 2 as h*g**2 + j + f*g and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -4, 2, -2755, 0?\nAnswer: -2755","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(80)\/(sqrt(20)\/sqrt(2))*5.\nAnswer: 3 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24\/79 - -38\/395. Solve m*r**4 + 0*r**3 - 1\/5*r + 0 + 1\/5*r**5 - 2\/5*r**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 25. Let j = 41.66 + -42. Let r = j - 0.66. Which is the fourth smallest value? (a) 2\/5 (b) i (c) r (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 + 3*g**2 - 4*g**2 - 7*g + (g - 22*g - 27*g)*(1 + g - 1).\nAnswer: -51*g**2 - 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.8 (b) -2\/17 (c) -5991.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -110904, -110879, -110812, -110679, -110456, -110119, -109644, -109007?\n\"Answer: 4*g**3 - 3*g**2 + 6*g - 110911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 8\/52 + (-1324)\/(-13)?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04931 + -10.95569. Let q = v - -11. Let s = 0.00614 + q. Round s to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204874018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 1. Let v(m) = 10*m + 6. Calculate -22*q(f) + 2*v(f).\nAnswer: -2*f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -16*j + 23. Let f(t) = 4*t - 15. Let d be f(4). Let k be b(d). Solve 2*q + n - k = 0, -4*q + 15 = -2*n + 5*n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**3 + c**2 + 62*c - 62. Calculate s(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - -4.6. Let z = 0 - i. Let c = -0.372 - -0.772. Sort z, c, 0.5 in descending order.\nAnswer: 0.5, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 926239962\/2395 + -386739. What is the common denominator of s and -18\/35?\nAnswer: 16765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -51, -94, -155, -240, -355?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - 1 - (-7)\/(6 - 13). Let a be (-51)\/(f + (-286)\/70). Calculate the greatest common factor of 85 and a.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, o: 4, r: 6}. What is prob of picking 1 r and 2 u?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-4)\/16)\/((-2)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401 + -2321?\nAnswer: -3222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -302.27 to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 211479 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*s)*(-7 + 4 - 17) - 5*s + 3 + 5*s + 2*s to i + k*s and give k.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*a*u**3 + 13*a*u**2 - 5*a*u + 4699*a - 115962*u**3 - 14*u wrt a.\nAnswer: 6*u**3 + 13*u**2 - 5*u + 4699","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2*f = 20, 0 = 2*g - g - 5*f - 2 - 23 for g.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144562?\nAnswer: 2, 11, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11075 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -195*h**2. Let g(q) = -2*q**2. Calculate g(t(d)).\nAnswer: -76050*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/48)\/((56\/(-21))\/(-8))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -723, -712, -701?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -4. Let v be 3\/13 - 123\/533. Which is the nearest to k? (a) 3 (b) v (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/14 and -5 - (-8423)\/1710 - (-32)\/(-144).\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, d: 3}. Give prob of picking 1 r and 3 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5665238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -8*r + 17. Let g be t(2). Sort -74, g, -4, -2 in decreasing order.\nAnswer: g, -2, -4, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 + -43. Let x = -2523.8955462 + 2568.89555. Let u = t - x. Round u to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by 29.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123.819 + 0.181. Let c = -123.849 + j. Let z = -6.149 - c. Round z to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -774 - 3*q + 3*q + 729 - 34*q**2 - 2*q**3 in the form r*q + c*q**3 + t + u*q**2 and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -14 (c) 1.4 (d) 6 (e) -115\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 590379.9 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + h**2)*(2*h - 2*h + 2*h) + 26766*h - 3485*h**3 - 26766*h.\nAnswer: -3483*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -2, -12, 4, 622 in decreasing order.\nAnswer: 622, 4, -2, -12, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6601903?\nAnswer: 7, 11, 83, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*n + n - 8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-4)*64\/(-20). Suppose -2*q + 0 = -j. Suppose -2*z = -q*s + 2*z + 56, 0 = -3*s - 5*z + 82. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.059706 rounded to 3 dps?\nAnswer: 1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224871a (base 11) to base 15.\nAnswer: -52b039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -313 + -31131\nAnswer: -31444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.07 (b) -5 (c) 2\/29 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -15*d**2. Suppose 6*o + 10*o = 72*o. Let i(p) be the second derivative of 0*p**2 - 1\/6*p**3 + o + 14*p. Determine i(g(r)).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 468613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 5. Let m(k) = -3*k + 14. Suppose -3*d - 4*g = 6, 5*g = 20*d - 21*d + 9. Determine d*m(c) - 17*z(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k. Let p(l) = -9*l. Let s(x) = -4*c(x) + 3*p(x). Let t be 7*(-7)\/(147\/(-6)). Let a(j) = -t*j + j + j - j. Determine a(s(u)).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -104 + (21 - (-15 + -7 + 14))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 5677*s**3 + s - 2 - 5650*s**3 + 3 + 0*s.\nAnswer: 27*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18304 and 31603.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-9)*((-364)\/3185)\/(12\/(-9)).\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-6) - (-1 + -1). Suppose m*p = -11 + 1. Do p and -5 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.36 + -0.04. Let p = o + 7.4. Let l = -0.755 - -0.955. What is the closest to 1 in l, 5, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -130055*v**3 + 127992*v**2 wrt v.\nAnswer: -780330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -578, -1161, -1744?\n\"Answer: -583*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -1, 1\/23, 12.5?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 45 = -3*q, -35 = -6*q + 9*q + 74*c - 69*c for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 0.06.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*h**4 + 4*a*h**2 + a*o - 8*h**3*o - 2*h*o wrt h.\nAnswer: -24*a*h**2 + 8*a - 48*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 695173?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 10) in base 5?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 8*f**2 - 11*f + 1. Let b be u(-9). Suppose b = 4*y + 3, 7 = 3*m + y. Suppose 14 = 5*q - m. Is 1 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**4 - 2*n**3 - n**2 + 2*n + 2. Let y(z) = 16*z**4 - 10*z**3 - 6*z**2 + 11*z + 11. Let b(h) = -11*g(h) + 2*y(h). Factor b(w).\nAnswer: -w**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 2 + sqrt(448))*-4 + 1)**2*6*1 + 4.\nAnswer: 8832*sqrt(7) + 46186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3376 (base 9) in base 13?\nAnswer: -11a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mememmmmeemem. What is prob of picking 2 m?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 356 + 217. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, b: 7}. Give prob of picking 1 e and 3 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/14*4)\/(-2)*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*w**2 - 15*w**3 + 25*w**2 - 14*w**3 wrt w?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qua when three letters picked without replacement from {u: 2, q: 1, a: 2, r: 1, t: 6, p: 6}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + x - 4*x = 21, -3*s + 13 = -2*x. Suppose 2 = c, -4*k - 4*c = -s*k - 9. Suppose -2*o = k - 7. Is o at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 254252 and 31717937.\nAnswer: 126871748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 12*j**2 - 5*j - 6. Does 12 divide y(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*o - 1299, 0 = 6*j - j - 3*o + 6482. Let g = j - -1848. What are the prime factors of g?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 37*j + 318. Determine g(-9).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 481.368 - 466.3. Let p = -15 + n. Let a = -0.068094 + p. Round a to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 4*b + 12, 18*l - 14 = 13*l - b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/177583 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, 17, 57, 111, 179?\n\"Answer: 7*b**2 + 5*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 599561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-957)\/(-174))*-4*1?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5839188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01672 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 103 = -3*s - 6*x, 114 = 4*s - 2*x. Suppose 3*a**4 + 1452*a - 68 + 1320*a**2 + s + 37 - 129*a**3 = 0. Calculate a.\nAnswer: -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 5*y + 15 = 0, -4*s - 2 = -2*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 303443322 (base 5) to base 2\nAnswer: 100101101010100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289 = -1020*b + 916*b + 647 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b + 4. Let p(c) = -5*c + 3. Let v(q) = 4*p(q) - 3*z(q). Let h(y) = 2*y. Determine v(h(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 16*z**2 + 36*z - 2. Let h be a(-18). Let g be (9 - 3 - -2)*(-24375)\/h. Round g to the nearest one thousand.\nAnswer: 98000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 103827 in decreasing order.\nAnswer: 103827, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*w - 4 + 14 = 0, 0 = 3*j - 3*w - 15. Suppose 4*n - 10 = -0*a - a, -j*a - 22 = 2*n. Which is bigger: a or -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18514 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 5*l**2 + 4*l**5)*(36 + 18 - 37).\nAnswer: 68*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*a - 1651, -3*c + 2493 = 2*a - 0. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38327 + -271?\nAnswer: 38046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/1369?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7751\/2 smaller than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from oojjooohohhohjojh?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/29014 and -59\/18?\nAnswer: 261126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27680.64 millilitres to litres.\nAnswer: 27.68064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1)\/(1\/3). Suppose o - 65 = 6*o. Sort o, d, -4 in increasing order.\nAnswer: o, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 996*p - 1006*p + 3002*p - 1002*p - 1.\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 850177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1262820 by 84188.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 696*v - 33383. Calculate u(-52).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 854 divide 2088030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1764808?\nAnswer: 2, 59, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 + -33. Calculate the common denominator of p\/3*(-10)\/30 and -35\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2573\/134347?\nAnswer: -2573\/134347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -296*i**6 + 0*i**3 + 217*i**6 - 205*i - 1008*i**6 + 0*i**3 + i**2 wrt i.\nAnswer: -130440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 - 1\/3*z**5 - z**4 + 0 + 2\/3*z - 1\/3*z**3 = 0 for z.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 452 - 462 = d, 3*d - 6 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 25 = 2*m. What is the tens digit of m\/(-55) + (-238)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 256 + -766\/3. Let p = -0.02 + -0.38. Let k = -0.4 - p. What is the third smallest value in 0.4, k, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 - 105080*o\/9 + 734678.\nAnswer: 2*(o - 52477)*(o - 63)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10)*((-75)\/(-10) - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**2 + 12*v + 5. Let j be i(3). Let u(c) = 10*c + 3*c**2 - 6*c - j*c + 4*c - 2. Give u(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j + 28 = 0. Suppose 24 = j*g + g. Factor -6*v**2 - g*v**2 - 5*v + 0*v + 4*v**2.\nAnswer: -5*v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/5*(7\/1 + -2). Let j(a) = -a**3 + 10*a**2 - 12*a + 9. Suppose 0 = -5*y + 73 + 32. Calculate the remainder when j(z) is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -578 - 3?\nAnswer: -57b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 58*w**2 - 164*w + 9. Calculate o(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -15*x**7\/14 + 10*x**6\/3 - 13*x**5\/4 + 5*x**4\/6 - 3*x. Factor s(f).\nAnswer: -5*f**2*(f - 1)**2*(9*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 2290 = 1471. Suppose -3*c + 3*j + 1 = -5, j + 2 = -2*c. Suppose c = -6*w + b + 171. What is the remainder when 102 is divided by w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1109 - 1109. Let f(a) be the second derivative of o*a**3 - 8*a + 0*a**5 + 0*a**4 + 1\/6*a**6 + 2*a**2 + 0. What is the derivative of f(q) wrt q?\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) -1\/36 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -4*q + 7, -3*l - q = -3 + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 32*u**2 - 71*u - 72. Suppose -3*n - 4*m - 39 = 59, 4*n + m = -122. What is the hundreds digit of f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.25, 8.5, 2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46167 and 363?\nAnswer: 507837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3305562 divided by 8?\nAnswer: 1652781\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*a = 48, 4*n + a - 37 - 77 = 0. Suppose 0 = -0*o - 4*o - 4*h + 16, h = -5*o + n. What is the remainder when o is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50133165*a + 149339211.\nAnswer: 50133165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuzzzzuuinzz. Give prob of sequence zi.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**4\/3 + 902903*j**3\/3 + 90581737023*j**2 + 27262475971141597*j\/3 + 54523864968662126\/3 = 0?\nAnswer: -300967, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3597035341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvq when three letters picked without replacement from vzqvz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 0 - -2) + -6 + 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1660657*n**3 + 4981980*n**3 - 1660658*n**3 - 1660664*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 673 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 - -4.01. Let n = 1 + -1. Let t = n - 0.3. What is the smallest value in 0.5, u, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j. Let m(g) be the third derivative of 19*g**4\/24 - g**3\/3 + 13*g**2. Give a(m(y)).\nAnswer: 19*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 + 12*t - 11*t**2 - 1 + 4*t**2 + 4*t**2 in the form j*t + g*t**2 + w and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/4 - 6\/(-8). Suppose 2*i + a*i + 60680 = 0. Let n = -4736 - i. What is n rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*m - 4*m + 5*g, 2*m - 4*g = 6. Suppose 2*r + 40 = 2*a - m*r, 2*r - 79 = -3*a. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.7 (b) -1\/6 (c) -10675 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807 = 61*g - 613 + 566 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 2 = 2*z. Suppose z*c - 13 = 57. Suppose -n + 0 = -15. Is c less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5446, -41020, -136772, -322792, -629170?\nAnswer: -1085996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((5*sqrt(85))\/sqrt(5) + 0).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 121104079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 30266 divided by -5\nAnswer: -30266\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 4*-2 - 2. Let g = d - 1. Solve -g*x = 2*x + 4*m - 1, 3*x = -2*m + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/8 - (-1)\/(12\/39). Suppose 2*q = 6, -m = -q - p*q + 8. Let c(i) = -i + 6. Let k be c(m). What is the fourth smallest value in 3\/5, -0.1, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9134936.09 less than -7?\nAnswer: 9134929.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 4 - 52) + -12 + -11 + 5 + -4.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70620858 divided by -1421.\nAnswer: 49698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4, -a = -5*a + 5*d + 25. Suppose y - 336 + 68 = -3*c, -a*c - 4*y + 435 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 83 and -702 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7056433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/45150 and -50\/976401.\nAnswer: 341740350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 2*d = -1320. Suppose 0 = -0*s - 3*s + d. Suppose 6*b - 220 = b. Calculate the greatest common factor of s and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 12398 = x, -x - 2*x + o = -37162. Suppose -x + 3176 = -10*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -589?\nAnswer: -2\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/126 and -163\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(20) + sqrt(20) + sqrt(20)*-5)*1)\/(((sqrt(70) - (sqrt(70)*-3*-1 - sqrt(70) - sqrt(70))) + sqrt(70))\/sqrt(7)).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5 = 6, 4*t = -d + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -615? (a) 3 (b) 2 (c) -3 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89604 and 17613.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 7*l + 5. Let m be y(-9). Suppose 4*u = -5*i + m, 7*i - 4*i = -5*u + 19. Solve -4*g - 3*a = -5, -i = -3*g - 2*a + 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5000 divided by -625\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -1. Let s be -5 - (-16 + -14)*2\/6. Put r, s, 3 in ascending order.\nAnswer: 3, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/18*-3*-1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 19*h**2 + 106*h - 880. Let x be s(22). Factor -5\/2*n**2 + x - 5\/4*n**3 + 15\/4*n.\nAnswer: -5*n*(n - 1)*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 395, -342, -3, 3 in ascending order.\nAnswer: -342, -3, 1, 3, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0.0365, -6\/11.\nAnswer: -6\/11, 0.0365, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1274240 and -119\/3822720.\nAnswer: 3822720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 3*t - 3. Let o be k(2). Let g(v) = -v + 12. Let f be g(o). Suppose 6200 = n - f*n. Round n to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*b - 5 = 10, 17 = 3*a - 2*b. Suppose 4*q - 5*k = -k - 4, -a = -q - 5*k. Suppose m + 2*z = q, -z = 4*m - 37 + 2. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100302231 - 203?\nAnswer: 100302022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.852 times -11.83?\nAnswer: 10.07916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -952518*g + 216. Let c be h(12). What is c rounded to the nearest 100000?\nAnswer: -11400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 924\/(-35)*(-1 + 1 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 - 7000 + t + 7043 - t.\nAnswer: 4*t**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**5\/30 + m**4\/4 + 2*m**2. Let o(l) = -l**2 - 12*l - 4. Let r be o(-12). What is the units digit of k(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 21, 0, -1 in decreasing order.\nAnswer: 21, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - (-2 + 0 + -2)) + -18?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 17*m**2 + 22*m + 8. Let g(p) = 7*p**2 - 9*p + 3. Let d(k) = 13*k**2 - 18*k + 5. Let o(h) = -6*d(h) + 11*g(h). Let f be o(7). Is l(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21313 + 36752 + 32161 = 560*p for p.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a century?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5083770 and 7275.\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-4))\/((-18)\/48). Suppose -38 = -2*a - 2*a + 2*w, -3*a = -4*w - 31. Solve 0 = -5*j + 3*y + 7, x*j + 5*y = -0*j + a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -213*r**3 + 79*r**2 - 161*r**2 + 81*r**2 - 1 - 100*r**3 to u*r**2 + m + q*r + w*r**3 and give w.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -7 + 5. Let o be u*1*(-25)\/10. Suppose 2*x - q - 2*q = -10, q - o = x. Are -6 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/314 + 5335\/942. Let a = k - 5. Is 2\/5 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.403 in 106, -1\/3, 3\/28, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32982273, 32982275, 32982277?\nAnswer: 32982279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (168\/70)\/(8\/30). Suppose 14*s - c*s = 9070. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1 + sqrt(242) + sqrt(242) + -1 + -1*(sqrt(242) + 0) + (sqrt(242) - (sqrt(242) - (-4 + sqrt(242)*1))))*1)**2.\nAnswer: -132*sqrt(2) + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/260)\/((-198)\/5148).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ohhhho?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47 - 39) + (5 + -1 - 29).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -33 + 30 + -35.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 2*d**2 - 2*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203133100 (base 4) to base 15.\nAnswer: -2d10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + n - 9. Let x(y) = 2*y**2 + 2*y. What is x(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -5*i - 4*j, 0*i + 106 = 3*i - 5*j. Let u(d) = -d**3 + 7*d**2 - 4*d - 22. Let s be u(5). What is the highest common factor of i and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 + 92. Suppose 0 = 3*o + 2*x - 74, 3*x - b = -5. Calculate the least common multiple of 21 and o.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.004 or -422?\nAnswer: -422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2542550 - 0?\nAnswer: 2542550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2040*13.\nAnswer: 26520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 209082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-9) + 145\/45. Suppose 5*b - s*i - 22 = 0, b - 3*i - 8 = 6. Factor -j**b - j**3 + j - 2*j**4 + 2*j**4 + j**4.\nAnswer: j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22687270, 45374542, 68061816, 90749092, 113436370, 136123650, 158810932?\nAnswer: 181498216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 70134767 - 0.45\nAnswer: 70134766.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 4*o - 40240955 + 40240989.\nAnswer: o + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 6 (c) -1 (d) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**4 + 12780*h**3 + 16169305*h**2 + 4326515280*h + 29497706560 = 0.\nAnswer: -488, -7, 3539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w = 139 - 84 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/5)*s**7 assuming s is positive.\nAnswer: s**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4)*p\/(p*p**(-1\/15))*(p\/p**(-2))**(-50) assuming p is positive.\nAnswer: p**(-2309\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1986 and 27142?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/(-65))\/3)\/(1167\/5057).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)\/g)\/(g*(g*g*g\/g**(-4))\/g*g)*(g*g\/(g*g\/g**(-1\/2)))\/g*g\/(g*g**10) assuming g is positive.\nAnswer: g**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 313200 = 130*c + 24*c. Calculate the remainder when c is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95\/287186 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29499?\nAnswer: 3, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2566184, 5132439, 7698698, 10264961, 12831228, 15397499?\nAnswer: 17963774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1095, -2061, -2905, -3639, -4275, -4825, -5301?\n\"Answer: -2*k**3 + 73*k**2 - 1171*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = 1018 - 1116. Solve -5*k + s*t + 26 = 3*t, -t = 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.404734 + -3255?\nAnswer: -3254.595266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 - 2*g + 4. Let t be o(1). Suppose -28*c + 20*c + 5872 = t. List the prime factors of c.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6785496 and 18396?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -64. Put -1, -5, 3, n in decreasing order.\nAnswer: 3, -1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -4*o - 38 - 37, 0 = -5*i - 3*o - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91.0378908 + 88.738. Let w = g + 2.3. What is w rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5045\/178 + -14\/89. Suppose -k + 5*k + 8 = 0. Calculate the common denominator of d and 4\/k + (-262)\/(-44).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 35 = 5*a, -2*u + 0*a + 12 = -4*a. Let z = -178 + 178. Let t be u\/(z - 4) - -4. Solve 5 = c - t*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(243)*1 + sqrt(243) + (sqrt(243) + -1)*-3)**2.\nAnswer: -126*sqrt(3) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841102 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a millennium in years?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -37624692 + -36.16981\nAnswer: -37624728.16981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 126194071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1953095508.\nAnswer: 2, 3, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 11:09 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2, -f = -3*f + 3*b + 1332. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 10*w - 354. Give j(-74).\nAnswer: -1094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 53b37523 - 5?\nAnswer: 53b3751a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 3*s + 224. Suppose -3*j = -j - s. Calculate the highest common factor of j and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/376 < 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 68\/3, -0.3, -1\/17, -3\/19 in decreasing order.\nAnswer: 68\/3, -1\/17, -3\/19, -0.3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 3:25 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 2.3 (c) -2\/5 (d) -4 (e) -108 (f) 68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -643 - -657. Let q be (0 - (1 + -2)) + 2. Calculate the remainder when k is divided by 1\/q*(-9)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-7))**3 assuming z is positive.\nAnswer: z**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((57750\/132)\/(-35)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233441 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k - 39*k - 30 = 0. Which is the smallest value? (a) -1\/5 (b) 9.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r - r)*(-4*r**4 - 26*r + 26*r).\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222*n**4 - n**3 + 2180*n**2 + 1173281*n?\nAnswer: 2664*n**2 - 6*n + 4360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 13.93. Let r = o - 3.07. Let g = r + 3.2. Which is the nearest to 1? (a) 0.5 (b) -1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 409*g**2 - g - 407*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2736)*-2 - (-2 + (sqrt(2736) - (sqrt(2736) + -2))))**2.\nAnswer: 240*sqrt(19) + 10969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*l + 16 = 3*w + 64*l, -2*w = -5*l - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 - -58. Let l be ((-4)\/y - -1) + (-1)\/(-3). Suppose 0*t = t - 2. Put t, l, -2 in decreasing order.\nAnswer: t, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.078846 - 1128.\nAnswer: -1128.078846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a millennium in centuries?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107571 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v - 7 + 4*v - v**2 + 2*v**3 - v**3 - 7*v**2. Let o be r(7). Suppose -2*k + 4*g + 26 = o, 5*g + 40 = -2*k + 7*k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-3*(-4)\/(-3). Calculate the remainder when 53 is divided by 13 - (-4)\/(m + 8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -55, 1706, 4621, 8696, 13937, 20350, 27941?\n\"Answer: t**3 + 571*t**2 + 41*t - 668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3939 is divided by 1892.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/34822896 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13274.20143 milliseconds to weeks.\nAnswer: 0.000021948084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 48*c + 11 + 260*c - 22.\nAnswer: 212*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*q + 183*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.9228 tonnes in milligrams?\nAnswer: 186922800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 100 = -5*h, -5*h - 1048 - 428 = -42*s + 624 for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/7))**36\/((h\/(h**(2\/7)*h*h))\/h**(-8)) assuming h is positive.\nAnswer: h**(277\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**4 - 36*y**3 + 56*y**2 + 144*y - 160 = 0.\nAnswer: -10, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (-8 + 21)) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**4))**(-19) assuming j is positive.\nAnswer: j**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3406 = 13*h - 16042. Calculate the remainder when h is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 206375433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - -2*(44 + 4). Let k = l - 56. Let b = -34 + k. Solve 0 = b*j - 8 - 12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(26) + sqrt(312)\/(sqrt(12)*1)))\/(1*6*sqrt(10)\/sqrt(5)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9719*c - 9723*c + 68 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.4, -105478, 5\/4?\nAnswer: -105478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, p: 14}. What is prob of picking 2 p and 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 7. Let m be k(-5). Suppose 0 = -l - m*d + 45, 0*d - 110 = -2*l + d. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/753?\nAnswer: -4\/753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 164?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/9)*b*b*b\/(b\/b**(-2)*b)*b)**(-1)\/((b**1\/b*b)**(-29))**(1\/61) assuming b is positive.\nAnswer: b**(322\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**4\/24 + 4*a**2. Let i(t) = 10*t. Determine d(i(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -461563531 + 2?\nAnswer: -461563527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = -4. Suppose y = 3*p - 5*g - 6, -2 = -2*p - 4*g. Let q(k) = -3 + 4*k + p. Let z(o) = -2*o. Give q(z(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/10 - 338\/(-52). Solve 0 = -14*q - n*q + 100 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 4, 1 - 8 = -3*v - 3*j - 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -99004*s + 1137. Calculate q(0).\nAnswer: 1137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 0 (c) 6\/7 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -82 * 2.18\nAnswer: -178.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94\/41 + 446\/123. Let p(t) be the second derivative of -1\/12*t**4 - 4*t + u*t**3 + 0 + 3*t**2. Give p(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -4)\/(-7) - (-15)\/7. Let k = -11 + 16. Solve -y = -i*y - k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 - -120. Calculate the remainder when (-196)\/(-3) + 2\/3 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) - sqrt(768)*2)**2 + 5 + sqrt(1200)*4 + -4.\nAnswer: 80*sqrt(3) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*p + 6, -4*w = -3*p - 14. Let j(d) be the first derivative of 18\/5*d + 2\/15*d**3 - 4 - 6\/5*d**w. Factor j(x).\nAnswer: 2*(x - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1369 is divided by 125?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 107\nAnswer: -42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 28927 = -463026. What are the prime factors of h?\nAnswer: 7, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6 - -7) + -6 - -7) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 7*b. What is the common denominator of 7 + -431*(-4)\/(-236) and (395\/10)\/(-3 + b)?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -960, -961, -962, -963?\n\"Answer: -n - 959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24299, -24166, -24033?\nAnswer: -23900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6396347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 6736457.1.\nAnswer: 6736457.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 177 = -i, -i - 4*o + 177 = -8*o. Calculate the remainder when i is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**2 + 3*r**2 - 3*r**2)*(-r - r**2 + r + 1 + (-1 + 3 + 1)*(-r**2 - 4*r**2 - 8*r**2)) to the form d*r**2 + v*r + b*r**3 + k + a*r**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 20 = -3*j - 0, 4*j + 2*l = 22. Let i be (-3)\/12*-2*j. What is the third derivative of f**2 + 0*f**3 - f**i + 0*f**3 wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 a factor of 437646599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5205040 + 7?\nAnswer: -5205031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - -117) + ((-14)\/2 - -7).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102043, 204237, 306443, 408667, 510915, 613193?\nAnswer: 715507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 176 = 5*c, -2*c + 2*b = -6*c + 152. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 6*b - 11. Let s be y(5). Let u = s - 21. Let g = u + 41. Solve -2 = 3*z - g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + -4*(0 + sqrt(243) + sqrt(243))) - -2*(sqrt(243)*-2*-2 + sqrt(243))*-6)**2.\nAnswer: 1224*sqrt(3) + 1123633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7 = -j, 4*c + c - 3*j - 7 = 0. Suppose c = k - 6. Let p = k + -4. Let m(w) = w - 5. Calculate m(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/20 + (-3)\/(24\/296) + (-5)\/(-20)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 293862207*g**3 + 111732338*g**2?\nAnswer: 1763173242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*o - 31 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000101001 + 110001001?\nAnswer: 11110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 9*j**2 - 8*j + 3. Let q be o(-8). Solve q*y + 0*y = -6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2*d + 6 = 0, -r - 83 = 2*d - 85 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -402951*y - 69437 wrt y?\nAnswer: -402951","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 5. Let f be o(-6). Let d be 4 + 0 - (f + 2). Suppose 4*t = d*t + 21. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1852, -2538, -3204, -3850, -4476, -5082?\nAnswer: -5668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -b24a80?\nAnswer: b24a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/3, 1\/2 in increasing order.\nAnswer: -2\/3, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2392 and 21269144?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -16 - 3*m + m + 16. Let v(s) = -s. Give z(v(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3111648 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5326330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(-41*d**2 - 4*d**3 + 2*d**3 + 40*d**2 + 3*d).\nAnswer: 2*d**3 + d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/23210250 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**4\/12 - k**3\/2 + 3*k**2\/2 + 15*k. Determine o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -37*p**3\/3 - 669. Let k = -6 + 8. Let g(y) = -2*y**2 - k*y**2 + 3*y**2 + 2*y**2. Calculate g(d(t)).\nAnswer: 1369*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*y**4 + 4*y**4 + 9*y**3 - 4*y**4 + 8*y**3 - y + y + 2*y**4 + (-1 + y + 1)*(y**3 - y**3 - y**3).\nAnswer: 10*y**4 + 17*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0075407869 to five dps.\nAnswer: -0.00754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k - 17 + 17. Let p(g) be the first derivative of 3*g**2 - 3*g**2 + 3*g**3 - 2*g**3 - 11. Calculate n(p(l)).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttyttqytttttttyt. Give prob of sequence qt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487 = 15*i + 143. Calculate the smallest common multiple of 3 and 6*(i\/(-18))\/((-1)\/(-3)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553573 >= 553574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 5*j + 3. List the prime factors of u(5).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 k, and 1 v when four letters picked without replacement from {k: 2, v: 2, j: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/888 and -127\/222.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8984, -9393, -9812, -10247, -10704, -11189?\n\"Answer: -f**3 + f**2 - 405*f - 8579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18 - 97)\/((-20)\/4). Which is the nearest to q? (a) -3 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2021 - -2011. Let h = -0.04 - -2.04. Put -3\/7, 2\/5, h, c in increasing order.\nAnswer: c, -3\/7, 2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1286399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 13*g**2 + 3*g + 54. Let d be l(-13). Suppose -d + 23 = -8*j. Sort -1\/5, 0.1, j.\nAnswer: j, -1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.234 + 1801.6\nAnswer: 1798.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - 4 = 25*i. Find l, given that -2*l**3 + l**3 - 3*l**3 + i*l**2 + 2*l**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/103186 and -11\/410.\nAnswer: 21153130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2113*a**3 + 1533*a**3 - 211*a**3.\nAnswer: 3435*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (339\/226)\/((1\/(-60))\/((-48)\/54))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 32170. Let k(p) = 214*p. Determine k(l(c)).\nAnswer: -428*c**2 + 6884380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d = -21*d - 487. Let w = d + 689. List the prime factors of w.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/30)\/(1\/(-3)). Let p be (1\/4)\/(2\/(-8)). Which is the nearest to p? (a) -1\/5 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.5*0.09292.\nAnswer: -0.32522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/5))**4\/(b**(-1\/22))**(-6) assuming b is positive.\nAnswer: b**(-59\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12271 + -10111. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10658?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -682 - -3?\nAnswer: -67f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-153)\/(-18))\/(-17))\/((-8)\/4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10*p**2. Let f be b(-1). Let r be ((-42)\/5)\/(2\/f). Suppose -4*n + n - 3*i = -r, -4*i - 4 = 0. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yya when three letters picked without replacement from yyaayaaaaaaayayaaaa.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 11 = 3*p - 3*w, -5*p - w = -7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (4\/(-10))\/((-2)\/(-5)). What is the least common multiple of ((-6)\/w)\/((-17)\/(-102)) and 51?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429838668 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 35*a - 33. Let x be g(-3). Let h = x + 882. What are the prime factors of h?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(152)*4 - sqrt(152))\/sqrt(8) - sqrt(19)) + sqrt(19) + sqrt(2736)*-1 - (1*sqrt(475) - -1*-3*sqrt(19)))**2.\nAnswer: -6897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -8, 5, -32839.\nAnswer: -32839, -8, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/3 - 2*f**3\/3 - 26*f**2\/3 + 50*f\/3 - 8.\nAnswer: 2*(f - 3)*(f - 1)**2*(f + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*n - 179 = 155, -126 = -2*v - 5*n. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -395333, -395326, -395313, -395294, -395269, -395238?\n\"Answer: 3*w**2 - 2*w - 395334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/56 + -367\/168. What is the common denominator of n and 101\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5026 - 1594?\nAnswer: 3432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -23.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 c, and 1 n when three letters picked without replacement from cnpde.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -22733942?\nAnswer: 1\/1623853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6559*l + 26578. Let s be z(-4). Let d(k) = 37*k + 1. Let f be d(1). What is the greatest common divisor of f and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/461 and 28\/9.\nAnswer: 4149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(847)*2 + sqrt(847) + -5 - (((sqrt(847) - (sqrt(847) + 0))*4 - sqrt(847)) + (0 + sqrt(847))*-6))**2.\nAnswer: -880*sqrt(7) + 84716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -102387.2 and -4.3.\nAnswer: 440264.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/7817?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 5*c - 19, 5*c + 4*f - 2802 = -2825 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-5) + 6 + 0. Factor 5*q**3 + 2*q + g*q + 20*q**2 + 6*q.\nAnswer: 5*q*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from {f: 1, h: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 6. Suppose 2*g = 8 + v. Find the second derivative of -2*s**2 + g*s**2 - 2*s**3 - 3*s - 4*s**2 wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-102559.\nAnswer: -51279.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38 or -18?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2549*o - 20955 + 66147 = 3100*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 - 0.6. Which is the third smallest value? (a) 2\/3 (b) -2\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 903 = -927 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 15*j + 6. Give c(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5121353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/2 + 520*z**2 + 5231*z\/2 - 3135.\nAnswer: -(z - 1045)*(z - 1)*(z + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 1005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veh when three letters picked without replacement from yyeveheyyyb.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from qbbb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5029.9 * -182.\nAnswer: -915441.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 41.5. Put 0.4, y, 46 in increasing order.\nAnswer: y, 0.4, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 4*s. Calculate the remainder when 34 is divided by g(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4485\/2 - -2243. Let j = 2\/109 + -139\/1635. What is the third biggest value in q, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44151754 + 44151384 = 5*k for k.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/2, 18819, 5\/3 in descending order.\nAnswer: 18819, 5\/3, 1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 2 = 8*p. Let i(t) = 3*t**3 + t**2 + 2*t - 2. Calculate i(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 16310 = 8*o. Let l = o - -20908\/9. What is the common denominator of l and 67\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 399.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*f + 4 = 0, 4*f = -3*p + 7*f + 12. Suppose -4*w + 24 = 3*q - 6*q, -2*w = -p*q - 22. Let x(m) = -1 - 2 + 0*m**2 - 2*m**2 + 5*m. Give x(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by -76383\nAnswer: 91\/76383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*v - 5*l, -36 = 5*v - 5*l + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 13 = j, -i = j - 0*i - 5. Let t(m) be the third derivative of 11*m**4\/12 + m**3\/6 - m**2. Is 11 a factor of t(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -229 - 65. Suppose 5*g - 2*v - 198 = 0, -o = 4*g + 3*v - 189. Is g a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2 (c) 9486\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y + 331 = -5*y + 1387. What is the greatest common divisor of y and 10692?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 2. Let x be t(7). Suppose -x = -5*s - 5*c, 3*s = -2*s - 2*c + 17. Suppose 3*n - 147 = -4*v, -4 - s = 3*v. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.033 + -0.065. Let k = 0.037 - b. Let r = -0.069000114 + k. What is r rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 1 = -b, -1103*a + 1045*a + 2*b + 248 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 183 + -32?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 51*s - 101. Give w(3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/4)\/y**12*(y**(1\/7))**(-2\/83) assuming y is positive.\nAnswer: y**(-29639\/2324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -49. Suppose 0 = -0*j - 4*j + i. Let s(l) = l**2 - 6*l + 3. Give s(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**4\/12 - p**3\/6 - 17*p**2\/2 + 3*p. Determine b(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -396800*q**2 + 724265*q wrt q?\nAnswer: -793600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 5*h = 4*u - 22, -3*u + 4*h + 17 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/2 - (3 + -5). Let t = -76 + 79. Suppose -3*q + 18 = -9. Solve k*b + q = t*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + (-88)\/(-6))*3. Calculate the highest common divisor of 256 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34386884*n**6 - 48409056*n**2 wrt n.\nAnswer: 4126426080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/(sqrt(9)*-2) - sqrt(14))\/sqrt(7) - ((sqrt(96)*-1)\/sqrt(3))**2) + 0.\nAnswer: -32 - 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (170\/528 - (-220)\/(-605))\/((-4)\/16). Sort 1, 0.9, i, -1\/25 in decreasing order.\nAnswer: 1, 0.9, i, -1\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -64\/7*i**2 - 12*i**3 + 20\/7*i**5 + 0 + 16\/7*i**4 + 16\/7*i = 0.\nAnswer: -2, -1, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 6*n**2 + 7*n - 7. Suppose -3*y = 5*u - 10, 3*u - 26 = y - 6. Let c be l(u). Sort 6, c, -4, -1 in decreasing order.\nAnswer: 6, c, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/3 - (-6 + 5) - (-18)\/(-9). Let h(q) = -2*q**3 + q**3 + 60 - q + 0*q**3. Does 6 divide h(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4900 and 490.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {h: 4, a: 1, k: 1, c: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 378 and 168.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*o**3 - 1755*o**2 - 2*o - 842310?\nAnswer: 9*o**2 - 3510*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 407, 5, 1479 in increasing order.\nAnswer: 5, 407, 1479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -438000?\nAnswer: -175200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/17 in 1\/5, -0.4, -3, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5463 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -32. Suppose 5*f + 10 = s, 3*s - t*s + 4*f + 12 = 0. What is the lowest common multiple of 16 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.067 times -5\nAnswer: -0.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(1*-18 + 2 + -3). Let x(j) = -36*j - 51. Is x(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2470*d + 1543*d**2 + 2470*d.\nAnswer: 1543*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1890223 is divided by 48467?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r - 9. Let q(u) = 5*u + 7. Let t = -710 - -706. Let y(i) = -7*i - 9. Let l(k) = t*q(k) - 3*y(k). Give -g(w) + 4*l(w).\nAnswer: -w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -196833 and -3.\nAnswer: -196836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*q - 6, 0 = w + q + 3*q - 12. Suppose n - 3*n = 0, w = 2*a - n - 8. Find the second derivative of 5*u - 37*u**a + 105*u**4 - 47*u**4 wrt u.\nAnswer: 252*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.4 (b) 1 (c) -9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1644056.\nAnswer: 2, 205507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/30 + 1*14\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {x: 11, t: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 48\/8)\/(-2). Let x be 3\/(-2)*(0 - 2). Let c(t) = 7*t + 5. Let y(j) = -4*j - 2. Let u(a) = x*c(a) + 5*y(a). Give u(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.23104 (b) 0 (c) 4 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 300 + 117 + 15*w - 423 to the form k + r*w and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 2*f + 3. Let z = -43 - -43. Let o be g(z). What is the closest to 2 in -4, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d71 (base 16) in base 5?\nAnswer: 1000404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckg. Give prob of sequence gk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**2\/2 - 22505*j - 45015\/2 = 0.\nAnswer: -1, 9003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265 + 122 - 5*v**2 - 501 + 114.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 111614 - 8?\nAnswer: 111606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -13*z**2 + 25*z - 4. Let y be o(2). Let j(q) = 5*q - 4. Let u(n) = 5*n - 3. What is y*u(f) + 5*j(f)?\nAnswer: -5*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 - 4 = 4*v, 0 = -3*v + 5*j - 25. Are -1 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 9973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -64. What is the hundreds digit of (14 + -20)*4\/p - -390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -137985, -135566, -133147, -130728?\n\"Answer: 2419*j - 140404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fomydwo. Give prob of sequence ymd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573*q + 1122*q + 1 - 293*q + q**3.\nAnswer: q**3 + 1402*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 27\/422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 7 = 187. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**7\/7 - 33*i**4\/2 - 2*i**3 + 17*i**2\/2 + 304. Find the third derivative of j(q) wrt q.\nAnswer: -120*q**3 - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96\/40848*(17 + -63)\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + j. Suppose 3*z - 7 = -4*s, 5*s = s + 4*z. Let r(a) be the third derivative of a**4\/24 - a**3\/3 - 8*a**2 - 8. Let h be r(s). Calculate n(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 826 + 25. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 6:46 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -5, 0, -2 in descending order.\nAnswer: 5, 4, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 36\/5*u**5 + 0*u**2 - 27*u - 1\/6*u**3 + 0 + 0*u**4. What is the units digit of k(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44840388 divided by -1\nAnswer: 44840388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11235310, -44941234, -101117774, -179764930?\n\"Answer: -11235308*a**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**7\/105 - 2*w**6\/3 + 155*w**3\/3 + 188*w**2. Differentiate b(p) with respect to p.\nAnswer: -8*p**3 - 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 divided by 2?\nAnswer: 399\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92.9 - 91.8. Let i = 2 - 2.1. Which is the closest to i? (a) -0.2 (b) r (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 522 and 58.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x = 3*i + 34, 5*x + i - 52 = 0. Suppose -4*o - x = -9*o. Which is bigger: o or 5\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69941146 and 76299432?\nAnswer: 839293752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence leel when four letters picked without replacement from {e: 5, l: 8, q: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 34, 59, 86?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 356 - 355 + 4*m + 8*m to d + h*m and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -3*h - 79 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) + (-46865)\/(-52). Let c = s + -289. Suppose -c - 399 = -3*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let n(f) = 2*f + 1. Let c(s) = -s. Let a(r) = 20*c(r) + 4*n(r). Let m(w) = -12*w + 3. Let b(x) = 3*a(x) - 4*m(x). Calculate b(o(z)).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/12)\/(22\/55*(-35)\/462).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 761879994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = d + 15, 5*d = -3*m - 16582 + 16575 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 4, 0.05, 3346.\nAnswer: 0.05, 2\/11, 4, 3346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 14*m**2 - m + 2. Let c be r(2). Suppose 2*l - c = -2*l. Calculate the remainder when l is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + 21 + -4)*(-3)\/(-12). Suppose -5*n - 37 = -4*i, -z*i + n + 40 = -4*n. Solve -i*d = -0*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24 + 25)*(-2)\/6. What is the biggest value in 12, d, 1\/10, 0.4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 14 + (-27 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**6\/6 + i**5\/10 - 789*i**2\/2 + 99*i + 1. Differentiate o(g) wrt g.\nAnswer: -20*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-5 + 10 + 5 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9508896 divided by -13152.\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4527 + -214. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.91 + 0.09. Let w be 1 - 20\/14 - 1760\/1120. Which is the nearest to 1\/3? (a) d (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*y + 4*f, 2*y + y - 43 = 5*f. Let v(q) be the third derivative of q**6\/120 - q**5\/5 + 5*q**4\/12 + 2*q**3\/3 - 7570*q**2 + q + 2. Determine v(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 8*z + 7. Let y be b(8). Suppose -9 - y = -3*j + 2*w, 12 = -4*j - 4*w. Suppose f = -j*f + 48. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12245671.04436 + 0.5.\nAnswer: -12245670.54436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*b + 209*b = -369. Let z(o) = o**2 - 7*o - 5. Give z(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 37*g**2. Let p(i) be the first derivative of i**2\/2 + 211. What is p(s(d))?\nAnswer: 37*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*((-8)\/(-9)*-42)\/(24\/(-36))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5\/4)\/(x\/(((x\/((x\/(x**(7\/5)\/x*x))\/x))\/x)\/x)))\/(x*x**(6\/17)*x*x**(-5)))**(2\/89) assuming x is positive.\nAnswer: x**(271\/15130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmqqhddnqlhnmmmdnmq. Give prob of sequence qhd.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"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: Let g = 0.262167 - 0.2936512. Let a = g - -0.0314. Round a to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 20*h + 62. List the prime factors of r(8).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13 - -22)\/(-27)*15. Let n(m) = -7*m**2 + 11*m - 16. Let r(k) = 3*k**2 - 5*k + 8. Calculate i*r(x) - 2*n(x).\nAnswer: -x**2 + 3*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**3\/3 + 79*w**2\/3 + 364*w\/3 - 32 = 0.\nAnswer: -12, -8, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (3 - (-12 + (8 - 0))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 9:27 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26425 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 80\/8885169?\nAnswer: 80\/8885169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from {c: 2, b: 7, w: 1, d: 6, q: 1}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**7\/630 - 61*g**4\/24 - 43*g**2. Let w(n) be the second derivative of i(n). Let u(k) = -3*k. What is w(u(r))?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by 49\nAnswer: -60\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, y: 4, p: 9}. Give prob of sequence yyh.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6167 - -2745.6167. Is -2\/7 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 110 - 42 - 37 - 32 + 10*r**3 as d*r**3 + s + g*r + a*r**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 k when four letters picked without replacement from hhfhkkfkffxkkfkh.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1176) + sqrt(1176) - sqrt(24))\/(3*sqrt(200)).\nAnswer: -sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-636)\/212*(4\/(-18))\/((-2)\/57)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*k - 151*k = -1656. What is the remainder when k is divided by -2 + -2 - 88\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2268 = 657*s - 573*s for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 95 = -6*y. What is the remainder when y - (0 - -16)\/4 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o + 6*o**2 - 8*o**2 + 2*o**2 + 417*o**3 - o**4 + 602*o**3 wrt o?\nAnswer: -12*o**2 + 6114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 5)\/((-10)\/15). Let a be (5 - (-55)\/(-10))*(-140 + 2). What is the greatest common factor of x and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 - 32*s**2 + 1205*s - 17757. Calculate y(-38).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -107, -216, -325, -434, -543?\n\"Answer: -109*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-14 + 3) - (0 - -3 - 10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16b + -995?\nAnswer: -827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 316 and 36?\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2621 divided by -4?\nAnswer: -2621\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -1012*k + 1016*k. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + m - 2. Let f be a(-2). Let q = -9 - f. Sort -4, -5, q in ascending order.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 3, 30, -1.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -32?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98.74 - -98.64. Let i = 44\/9 - 167\/36. Which is the third smallest value? (a) h (b) 47\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8\/44 - (-512214)\/132*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (6 + -5 - 0) - -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-130)\/(-78))\/((-35)\/(-2667)). Which is greater: 755\/6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Suppose -u = -4*j - 2*u + 69, 0 = l*j - 5*u - 69. Let n be 4\/j - (2 + -2). Which is the smallest value? (a) n (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*k - 0*k - 17, -k - 3*q + 7 = 0. What is the closest to -1 in k, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**3\/3 - 1557. Let p(l) = 6*l + 35. Calculate u(p(t)).\nAnswer: 36*t**2 + 420*t + 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 182*j - 195*j + 19*j as a + n*j and give n.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310 and 6770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**6\/12 - 3*k**5\/40 - 26*k**3\/3 - 46. Let s(u) be the third derivative of v(u). Find the second derivative of s(c) wrt c.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185650.\nAnswer: 2, 5, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 37 - 13. Is (-2)\/(d\/15)*1535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 69.51892 millilitres?\nAnswer: 0.06951892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 + 128*m + 1450. Give q(74).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31360 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*d + 13568 - 13718 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 = r. Let p be r\/4 + (-11)\/(-4). Solve -p*w = -s - 4, 7*s - 29 = 3*s - 3*w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 8*a**2 - 4*a + 5. Let z be q(6). Suppose g + z = 2*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 16) to base 3.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.71 + -0.29. Let c = n - 8. Let u = 24.5 + c. What is the third biggest value in u, 1, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1333589.9795 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/(-6) + 6\/4. Let l = -13 + z. What is the smallest common multiple of 18 and l + 23 - (2 - 0)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1743.47 - 1891.2. Let n = 3.27 - u. Let o = n + -151.00214. What is o rounded to four decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2105*s**2 - 8*s + 9. What is the thousands digit of f(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-27 - -34) - 71 - -11.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/5440 and 87\/28552928.\nAnswer: 285529280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7284041.\nAnswer: 17, 428473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 15. Let i be 16 - (-2 - -1*4). Suppose 6*n + 42 = 5*x + 2*n, 0 = -5*n - 15. Suppose -4*a + x*a + i = 0. Give f(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v**3 + 0*v**3 + 0*v**3)*(3*v + 1 - 4*v - 9*v).\nAnswer: 70*v**4 - 7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 534 and 1096302.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10.8 times -135803\nAnswer: 1466672.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13682095829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g**4 + 8*g**3 + 14*g**2 + 8*g. Let h(m) = -m**3 + 53*m + 0*m**3 - 54*m. Let b(v) = 8*h(v) + n(v). What is the third derivative of b(a) wrt a?\nAnswer: -144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -351 (c) 4.00869\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 19*i - m - 73 = 0, 79 = -5*i + 2*m. Which is the third smallest value? (a) i (b) 0 (c) -0.07 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 175775, 351552, 527329, 703106, 878883?\n\"Answer: 175777*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57534583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from gpobopoooohbpgpgo?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 77 = -43. Is v > 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14782196 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9*k + 3*d = -17, 0 = k - 4*d - 15. Let h be 0 + 34 - k - 0. Suppose 2*n + 341 + 1584 = 13*n. Calculate the greatest common divisor of n and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in 5, 6, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = -x + 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 20*t - 3 - 2 to c*t + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 84055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7747 = 4*j - 3*a, 1258 + 2609 = 2*j + 5*a. Let s = -624 + j. Let l = 18359\/14 - s. What is the common denominator of -93\/20 and l?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from wll?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyxprpfpjyyffy. What is prob of picking 1 r and 2 f?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 50?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719 (base 10) in base 8?\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 4:40 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 6)\/((-9)\/12). Factor u**3 + 4*u + k*u**2 + 3*u**3 + u**4 + u**3 - 4*u**2.\nAnswer: u*(u + 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47829 - -291311\/6. Let w = -645 - 85. Let f = g + w. Find the common denominator of f and 87\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1625741 weeks to seconds.\nAnswer: 98324.81568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/5, 1\/4, 0, -1\/11, 6 in decreasing order.\nAnswer: 6, 2\/5, 1\/4, 0, -1\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 9)*(-1)\/1 + (18 - 12)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 29*c + 8 = 0. Sort 21, 3, c, -5.\nAnswer: -5, c, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 16*m**2 - 21*m + 70. Let n be q(17). Suppose -2*x = -n*o - 0*o - 306, -2*o - 620 = -4*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/13*20\/(720\/39)?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -2127*u**4 - 450*u**2 + 3*u + 744. Find the second derivative of b(l) wrt l.\nAnswer: -51048*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 36.38.\nAnswer: -72.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4806\/(-480)*-4 + 1\/5. Is a < 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -5\/8 (c) 630 (d) 1 (e) 1\/4 (f) -0.14 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 167731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/88 and 34\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 3*f**2 + 2*f**2)*((-17 - 16 + 14)*(-3*f - 2*f**2 + 3*f) + 0 - 2*f**2 + 0).\nAnswer: 108*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 6. Solve 0*s - 4*s + o = 5*f, 2*f = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 771*c - 4624. Let n be y(6). Solve -n = 18*r - 17*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-268)\/(-4) + (-1 - -2). Suppose 6*o = 2*o - l. Let p = -10 - o. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, -50, 0, -21, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 5, -124 in increasing order.\nAnswer: -124, -6, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*c + 549*c - 231*c.\nAnswer: 150*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -277 - -291. What is the remainder when 39 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*o + u, -5*o + 14 = -3*o + 2*u. Suppose -4*j + 4*k - 80 = 44, -152 = o*j + 3*k. Let s = 26 + j. Is s != -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, -6009, 252?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 15*c**3 - 5*c**2 - 6. Let t(d) = -d**2. Let m(h) = -b(h) + 5*t(h). Find the first derivative of m(a) wrt a.\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 0*i**4 - 4*i - 2\/15*i**6 + 0*i**5 + 0*i**2 - 1\/3*i**3 + 0. What is the second derivative of u(n) wrt n?\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 - 2 = 0. Let a be 10\/s + (-6)\/(-18). Let i = 50 - 46. Put i, a, 5 in descending order.\nAnswer: 5, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 227948?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0034474399 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 60186 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide -70*(-1 + 3\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + -1 - ((225\/9 - 11) + -9151).\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.6 and -72.832528.\nAnswer: -74.432528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/2*(2\/6)\/((-583)\/(-318)). Suppose -3*d + 5*d + 6 = 0. What is the closest to d in z, 10, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 32, 145, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) - ((-15)\/(-2))\/5. What is the units digit of k*3*(-24)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -84 + 7087*t**2 - 3545*t**2 - 3543*t**2 - 21*t. What is the remainder when 75 is divided by f(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1196656 divided by -74791\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0787 - 0.1787. Let g = -1 + 0. Let n = 16 + -19. Which is the nearest to g? (a) 0.1 (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000020575194 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 20*y + 22. Let d(t) = -8*t + 1. Let p be d(-3). Let c be q(p). Solve 0*w**2 + 42*w + 5*w**2 + w**2 - 3*w**2 + c = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d**2 + 2*d + 2. Let t(m) = -24*m**2 - 6*m - 7. Let f(h) = -11*k(h) - 4*t(h). Let z(r) = -r**2 - 1. What is f(l) + 6*z(l)?\nAnswer: 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-8)*(92\/(-10))\/(-23)*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmog when four letters picked without replacement from qmgmgqmmqgmgommqqm.\nAnswer: 7\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1\/59 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -12*d - 16*d. Suppose -4*b + 2*x + 2194 = 0, -2*x - 596 + 1678 = d*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 50 + 2?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -290. Let q be ((-3)\/(-6))\/(1\/b). Let t = -79 + q. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 6 = 3*i, -8*i = -2*q - 0*q - 4*i - 20 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14036 and 618794.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + -3*(sqrt(65) + (-2*sqrt(65) + sqrt(65) - sqrt(65)) + sqrt(65)))\/sqrt(5) + (sqrt(13)*2)**2*2 + sqrt(13) + 5.\nAnswer: 2*sqrt(13) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4 + 2 - w**2 to i*w**2 + o*w + a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3403, -5668, -6795, -6784?\n\"Answer: 569*o**2 - 3972*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*u = 4*o - 250*u + 42, 0 = 2*o - 2*u + 22 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 454, 677, 896, 1111?\nAnswer: 1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -4, 8, 1, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318.4587 minus 176.631?\nAnswer: 141.8277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52125*d**2 - 52034*d**2 + 104062*d**2.\nAnswer: -97*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -14 - (-2 + -4 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2825 and 5238341?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1979178 and -97030952?\nAnswer: 99010130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 336735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -226385\/1081 or -210?\nAnswer: -226385\/1081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -416 times -163?\nAnswer: 67808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40368632 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 5. Let j be f(3). Let w = j - 8. Suppose w = t - 13 - 1. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-9))\/(10 + -9). Let c = -145 + 583\/4. Which is smaller: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41029032 by 10257258.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - n - 4. Let c(v) = -150*v**2 + 117*v - 7. Let j(x) = -2*b(x) + c(x). Find the second derivative of j(z) wrt z.\nAnswer: -304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l - 17. Let r(q) = q + 3. Let d(n) = 6*f(n) + 34*r(n). Let b(u) = -4*u**2 + 13*u + 3. Let j(s) = -b(s) - d(s). Let j(z) = 0. What is z?\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o - 110*o**2 - 16*o + 7*o.\nAnswer: -110*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51 - -2b?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8837658?\nAnswer: 2, 3, 23, 21347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227118 (base 9) to base 12.\nAnswer: 66b45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.2 - -16.7. What is the nearest to 2\/11 in 3\/2, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2901.535 + 2905. What is j rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26032 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21008901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 356.1 + -415. Let k = q + 59. Which is the nearest to k? (a) 4 (b) 2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 32. Determine c(11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j - 24*j + 13*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3d (base 16) to base 5\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f + 21. Let c be x(11). Is c less than or equal to -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -22.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5904)\/(-1107)*(-12)\/(-40). What is z in 0*z + j*z**4 - 36\/5*z**2 + 0 + 6\/5*z**3 - 2\/5*z**5 = 0?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38*985762\nAnswer: -37458956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -15*d**2 + 8*d**2 + 9 + 2*d**2 + 6*d**2 + 11*d. Let l be x(-12). Let p = 15 - -90. What is the highest common factor of p and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 7 = 7. Suppose 0 = -u*b + b - 1. Are b and 4\/101 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-9\/8))**(2\/23)*(x*(x*x**(-1\/68))\/x)\/x**(5\/7) assuming x is positive.\nAnswer: x**(2495\/5474)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/884 and 37\/1105.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwcwpcwjpwwpywyfp. Give prob of sequence jfcy.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 52\/3 of a day in minutes?\nAnswer: 24960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*3)\/((-55)\/(121\/11)*(-4)\/(-260))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -471*a**2. Let d(c) = -c**2. Determine d(f(q)).\nAnswer: -221841*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6845 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17.1299 and 98.\nAnswer: 80.8701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4))**(-3\/2)\/(((m**(-4\/5)\/m)\/m)\/m**(-4))*((m*m*(m*m*m**(-2\/3))\/m)\/(m\/(m*m*(m\/m**6*m)\/m*m*m)*m))**(-8) assuming m is positive.\nAnswer: m**(451\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18086381 + 0*b + 9043197 + 0*b + b**2 + 9043184.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188 (base 11) to base 9.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 0 - (6 + -10 + 1 + -4 + 54)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 7*x**2 + 13)*(-2 - 3 + 2) + (3*x + 4*x - 6*x)*(-3*x - x + 5*x) to w + b*x**2 + m*x and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.68, 0.3, 8?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-3 - -2)*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + ((-372)\/(-30) - 3). Let p = -6 - -24. Let k = 14 - p. Which is the nearest to v? (a) -1\/3 (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36.77 or 1.2748?\nAnswer: -36.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8249, -32070, -55893, -79718, -103545?\n\"Answer: -n**2 - 23818*n + 15570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -2*b + 15. Let q(l) = 70*l + 69*l - b*l. Let y(j) = -107*j + 1. Determine y(q(x)).\nAnswer: -214*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c + 2 = 0. Let r = 5 - c. Find the third derivative of g**3 + g**r - g**3 + g**4 + g**2 wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**5 - 46264*f**3 + 372172*f**2 wrt f.\nAnswer: -60*f**2 - 277584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 1. Suppose -j - 4*j = -t + 20, -j - 4*t = 4. Let g be (j\/(-18))\/(14\/21). Which is the second biggest value? (a) g (b) 3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**4\/7 - 48404316*s**3\/7 + 290425815*s**2\/7 - 435638682*s\/7 = 0. What is s?\nAnswer: 0, 3, 16134766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -523315 (base 6) in base 10?\nAnswer: -42239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1205*c - 2 + 3 - 1243*c as b + i*c and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a76 + -13?\nAnswer: -a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67102973.\nAnswer: 7, 277, 34607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 484.3146 to the nearest 10.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y - 6. Let a be r(2). Solve -5*c + 30 = -5*b, -c + a*b = -3*c - 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-6 + (16 - 12) + -5 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.026 + 17.516. Let b = w - 17.49. Let t = 14 + -9. What is the nearest to b in 0, t, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10706 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5552 - 5552. What is the nearest to -1\/6 in -8, l, -5\/4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19275 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 8449116.\nAnswer: 42245580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + z**3 - z**3)*(-2*z + z**2 + 2*z + (2 - 2 - 2*z)*(7*z - 3*z + 9*z)).\nAnswer: 25*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -509 + 1255. Find the third derivative of 746*r - o*r - 124*r**2 - 121*r**3 wrt r.\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -17. Suppose 5*t = 2*t + n. Let r = 15 - t. What is the remainder when 10 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8588*t - 42936. What is p(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/14)\/((-2)\/(-8)). Let i = 49 + -76. Let u = 24 + i. Sort u, 0.3, p.\nAnswer: u, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1418?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*j - 13704 - 1210 = -3394. What is the lowest common multiple of 60 and j?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213631?\nAnswer: 11, 19421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of (5\/(-10))\/((24\/372608)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**3*c*c*c**(-1\/3))\/(c\/(c**4\/c)*(c\/c**(8\/5))\/c))**(6\/11) assuming c is positive.\nAnswer: c**(248\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Let t(j) = -15*j**2 + 6*j. Let q be 5\/(-20) - 6\/8. Let h(z) = q*t(z) - 6*a(z). Find the second derivative of h(n) wrt n.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -30. Suppose -b = -0*o + o. Let v = 12 - o. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3.5, -1, -2\/5, 1.7, -7.6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2277 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 1. Let u = 0 - t. Let f = 0 - -2. Solve -u = f*l - l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 84 = -2*m + 80, t = -5*m + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfvjoox. What is prob of sequence of?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 2 in increasing order.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -27093 greater than -27212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 156 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 120\/18*6\/(-4). Let x = 10 + j. Solve 4*p + x*p + 16 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -51.952. Let t = l + -0.452. Let n = -62\/3 + 21. Which is the closest to n? (a) 1 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 30. Let l be (-20)\/(-3)*33\/n. Solve 4*i = 2 - l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l + 110. Calculate i(-40).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**4\/4 + 2*p**3 - 6*p**2 - 19*p. Factor r(d).\nAnswer: -3*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.37 - 0.03. Let k be -1 + 74\/12 - (-3)\/(-18). What is the second smallest value in 4, z, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28565 is divided by 127?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0*d**4 - 1\/15*d**5 - 2\/105*d**7 + 0*d**3 + 1\/15*d**6 + 0 + 7*d**2 + 0*d. Factor b(n).\nAnswer: -4*n**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**5\/20 + m**4 - 6*m**3 + 16*m**2 + 44*m + 78. Let v(j) be the first derivative of g(j). Determine r, given that v(r) = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(192) + (sqrt(192) - (sqrt(192) + 0)*-1)**2)*-3.\nAnswer: -2304 - 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4867\/2658 - 1\/443. Let u = -45179 + 1355507\/30. Let m = 25\/6 - u. Which is the nearest to k? (a) 0.4 (b) 2\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 8 = -12*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3, 2, -0.2, -23\/4?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 1. Let s = 4 - 2. Let k(j) = 128 + 142 - 271. Calculate s*k(l) - 3*w(l).\nAnswer: 3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-5\/3)\/h)\/h*h**(2\/3))\/(h**6\/h**(5\/3)))**28 assuming h is positive.\nAnswer: h**(-616\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6463183617 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12001.2408ms in days?\nAnswer: 0.00013890325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 65 = 5*p, 2*p = j - 0 - 17. Let k = 8 - j. Which is the third smallest value? (a) 7 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 925813 is divided by 124.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 237998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 v, and 2 i when four letters picked without replacement from {v: 1, x: 1, i: 2, e: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*z**3 - 1 + 85*z**3 - 180*z**3 + 1.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 - 3*u**2 - 34*u - u**2 + 5*u**2.\nAnswer: u**2 - 34*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6750 = -30*c. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8326605 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6889 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37\/5 + -73\/10. What is the third biggest value in 2\/15, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (1 - -5) + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -601469*k + 15036722. What is c(25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + -3*(sqrt(133) + sqrt(133)*5))\/sqrt(7).\nAnswer: -17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 13*q. Let y(h) = -8 - 10 + 3*h + 18. Let x(d) = 3*f(d) - 15*y(d). Let u(w) = 2*w. Give x(u(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/(-8) + 24\/6. Let p = -16 - -11. Let f be 72\/33 - (-18)\/(-9). Sort s, p, f, 2\/17 in ascending order.\nAnswer: p, s, 2\/17, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492638464 to the power of 1\/3, to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 8982*c**2 + 42*c + 42. Let o(m) = 898*m**2 + 4*m + 4. What is 21*o(b) - 2*q(b)?\nAnswer: 894*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/231 and -75\/776.\nAnswer: 179256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((148\/259)\/(2*1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 1:16 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 34*k**2 - 95*k - 55. Give i(-31).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-51)\/((-1020)\/(-400))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42942 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, o: 1, q: 1, u: 1, h: 1}. What is prob of picking 1 j, 1 q, and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 + -55. Let q(h) = -h**2 - 16*h - 39. Let p be q(-12). Suppose -p*i = 25 - 385. Calculate the remainder when i is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110 (base 3) to base 10.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304841 and 3345.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -887047*w**3 + 7*w**2 - 4*w**2 + w + 887052*w**3 + 28*w**4 - 2 in the form k*w**4 + i + g*w**2 + z*w + m*w**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p. Let b(d) be the first derivative of d**6\/180 + 19*d**5\/120 - d**3 - 27. Let k(r) be the third derivative of b(r). Determine k(v(l)).\nAnswer: 8*l**2 + 38*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51022 and 1552?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 163983811?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12 = x + 6, 5*x - 2*d + 2 = 0. Let z = 4.15 - -13.05. Let v = z - 17. What is the smallest value in -4, x, -1, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upjjpjpqpujppppp. Give prob of sequence jq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/70*21*7\/(-42)*2. Let y be 0 - 6\/(-16)*-2. What is the nearest to 0 in 3\/7, f, y?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4868 + 4472 = -132*t. Let i(n) be the first derivative of 0*n - 9*n**2 + 6 + 17\/4*n**4 + 0*n**t. Find the second derivative of i(s) wrt s.\nAnswer: 102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565 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: What is the nearest to -11 in -8.052, 2, -2\/9, 0, -1?\nAnswer: -8.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -644 + 644. Solve w = -p, -2*s - 2*s = -3*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f**(1\/3))))**(-2\/7) assuming f is positive.\nAnswer: f**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*l - 4. Let s(z) = -3*z + 2. What is the units digit of s(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208697 rounded to the nearest one hundred?\nAnswer: -208700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -83, -2, 4\/5, -4\/7 in decreasing order.\nAnswer: 4\/5, 0.1, -4\/7, -2, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 359 - 341. Suppose o*a = 548 + 316. Calculate the greatest common divisor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 11, 8, -5, -1436, 5, 3 in ascending order.\nAnswer: -1436, -5, -3, 3, 5, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5536, 11062, 16566, 22036, 27460, 32826, 38122, 43336?\nAnswer: 48456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774067.\nAnswer: 7, 110581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-10)\/(-5) + (-1562)\/(-1). Suppose -2*v - 5*x - 1556 = 2*v, -m = 4*v + 3*x. Let i = v - -234. What is i rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -9. Let v = z - -4.1. Let s(r) = -2*r**2 + 27*r - 37. Let y be s(12). What is the closest to 1 in v, y, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 l when three letters picked without replacement from {l: 13, c: 2, b: 1, f: 3}.\nAnswer: 78\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9552 divided by -6\nAnswer: -1592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 0*v - 2*v + 7. Suppose -4*d = -1 + 21. List the prime factors of s(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 36*g**5 + 195204*g**4 - 130148*g**3 + 21692*g**2 = 0.\nAnswer: -5423, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/1386*30\/25*2?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-2\/5))**(-29)\/(v*v*v*v**(-12)\/v*v*v*v*v**3) assuming v is positive.\nAnswer: v**(-328\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w. Let f(m) = m. Let i(l) = -18*f(l) - 4*v(l). Let t(h) be the second derivative of 121*h**3\/3 + 221*h + 2. Give i(t(u)).\nAnswer: -484*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4161895 - -1048799785\/252. Let k = 720\/11 + -20765\/308. Let a = k + f. Find the common denominator of 35\/6 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -13676913.177 to the nearest 10000.\nAnswer: -13680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7*a + 4. Suppose 0 = o - 8*o + 21. What is p(o)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/53, 11, -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 2*o**3\/51 - 94*o**2\/17 + 186*o\/17 - 165. Let x(w) = 0. Calculate w.\nAnswer: 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 10*m + 6. Let a(s) = s**2 - 10*s + 5. Let x(y) = 6*a(y) - 5*k(y). Does 21 divide x(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 12 - 6 - 20*h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*y - 109 = 0, 11*d - 7*d = -2*y + 198. What is the remainder when 1025 is divided by d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 158941264 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 118\/(6\/(9 + -6)). Suppose -52*v - 28 = -d*v. What is the third biggest value in -0.03, v, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -94*b + 1. Let g(z) be the first derivative of -7*z**3\/3 + 1249. What is n(g(o))?\nAnswer: 658*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4\/7 + 116*m**3\/7 - 360*m**2\/7 + 52*m - 122\/7 = 0. What is m?\nAnswer: -61, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 - 5*i**3 - i**2 + 5*i.\nAnswer: i*(i - 5)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51920 = -26*j + 52102. What is the remainder when 1711 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g**3 + 442 - 193*g**2 - g**3 + 445 - 885 to a*g**3 + i*g + d*g**2 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 666*j - 5421. Let i(p) = 1299*p - 10842. Let n(c) = -5*g(c) + 3*i(c). Differentiate n(z) with respect to z.\nAnswer: 567","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1459 times 2397\nAnswer: -349.7223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.90455 to two decimal places.\nAnswer: -24.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -5*h**3\/6 + 512*h. Let f(b) be the second derivative of -b**3\/6 - b. Calculate f(o(q)).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(15)\/(sqrt(5) - (sqrt(5) + sqrt(125)*1 + sqrt(125))))*-6)**2.\nAnswer: 576*sqrt(3)\/5 + 14832\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 12*b**2 - 8*b - 1. Determine l(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*s + 129, 3*m = -7*s + 15 + 71. Put 42, 5, 3, m in descending order.\nAnswer: 42, m, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105737009?\nAnswer: 7, 37, 408251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 9:51 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 174944 divided by 224?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(1377) + -4*sqrt(425) + (-3*sqrt(68) - (-4*sqrt(170))\/sqrt(10)).\nAnswer: 23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oih when three letters picked without replacement from {o: 8, h: 7, i: 3}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from awiwbilawiwiiikbi?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 3, 7.37.\nAnswer: 1, 2, 3, 7.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -37, -4, 0, -5, -3 in descending order.\nAnswer: 2, 0, -3, -4, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -8. Let z = -7.65 + 14.65. Is d at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400998 divided by 400998?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 50\/15 - 1\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 3. Let y = -21 + 31. Calculate the least common multiple of y and j(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-four fifths of a kilogram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -15.5. Let i = -205.4 + 205. What is the second biggest value in s, -1, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9880 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -36. Let j = 0.35 - -0.05. Let y be -3 - ((-45)\/6)\/3. Which is the closest to -1\/4? (a) y (b) j (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 129*k - 384. Calculate n(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - -1 - (-2 - -2). Let v be 1\/((w\/5)\/(-1)). Let j = 14 - 9. Sort 0, v, j in ascending order.\nAnswer: v, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, z: 10}. Give prob of sequence kzzk.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -11. Let s = u - -12.2. Let q = -3 + -2. What is the biggest value in q, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-11\/6)\/h))\/h**27*(((((h\/h**(-1\/17))\/h)\/h)\/h*h)\/h)**(-32))**(1\/54) assuming h is positive.\nAnswer: h**(3973\/5508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2511, 10349, 23407, 41679, 65159?\nAnswer: 93841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2 + 22*z + 7. Let b be m(7). Solve 4*j - b = 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8912581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4897*o + 1083*o**2 + 372*o**3 + 43*o + 1418*o**2 + 583*o**2 + 4*o**4 - 8400 = 0.\nAnswer: -84, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**3 + 0*b**3 + 18 - 17 in the form i*b**2 + q*b**3 + v + u*b and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 783555376?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -13*q - 20. Determine o(-15).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m + 46 = -47 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.15399419 + -1.154. Round a to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.597, 3, 2036 in decreasing order.\nAnswer: 2036, 3, -0.597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 - 23?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-18\/5)*t**(-2\/3)\/t)\/((t*t*t**(-4)*t)\/(t*t**(-1\/13))) assuming t is positive.\nAnswer: t**(-652\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.682706l in millilitres?\nAnswer: 4682.706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 180615508 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 98*q + 30. Let m be c(5). Suppose 4*j + m = 9*j. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1530038, 3060076, 4590114?\nAnswer: 6120152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 13*u**2 + 5. Let h be o(13). Solve -v + h = 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1063470?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 882, 1780, 2680, 3570, 4438, 5272?\nAnswer: 6060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**3 - 27828*n**2 - 64560951*n - 129010614 = 0.\nAnswer: -4637, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - 55. Let j(w) be the third derivative of 0*w + 0 - 1\/24*w**4 + w**2 - 1\/6*w**3 + 1\/60*w**5. Let p(d) = -5*d**2 + 4*d + 8. Determine a*j(g) + p(g).\nAnswer: g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 3 + 18*k**3 - 4.\nAnswer: 15*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-27))\/(((-424)\/(-795))\/(-8))*6\/(-25).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37137400 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*c + 28, 6 + 0 = 2*x + 3*c. Let j(p) = 3*p + 20. Let r be j(x). Suppose -r = -3*h + 4. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 295*u**2 + 14*u**4 - 295*u**2 + (-2 - 1 + 4)*(u**4 + 2*u - 2*u).\nAnswer: 15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/3, 31, -5, 5, 2\/19 in descending order.\nAnswer: 31, 5, 1, 2\/3, 2\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/(-12)*(-19 - (-7520)\/329)?\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.8 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**3 - 190*t**2 + 10*t + 6 wrt t.\nAnswer: 12*t - 380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16680*-0.1\nAnswer: 1668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*g**3 - 83*g**3 + 126 - 43*g**3 with respect to g.\nAnswer: -297*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 3*y = -25, 13*y + 8 = m + 9*y. Let n(u) = -2*u**2 - u - 1. Let a(l) = -2*l**2 - l - 1. Suppose 3 = 3*h + 12. What is h*a(k) + m*n(k)?\nAnswer: -2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l*l\/((l*l*l\/(l\/l**(-6\/5))*l*l*l)\/l*l)*l))**(-16\/3)*(l\/l**(1\/12))\/l*l**(-2\/13) assuming l is positive.\nAnswer: l**(647\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 + 4*b**2 + 139*b - 282. Let j be p(2). Put -3, j, -2, 0, 3 in descending order.\nAnswer: 3, 0, -2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34526 + 57936. Does 97 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44a2 (base 14) to base 9\nAnswer: 17284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 151 + -79. Differentiate 70*k**3 + l - 29922*k + 29922*k with respect to k.\nAnswer: 210*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 675 + -665. Solve 5*k + 5 = -c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/11 - 2308*k\/11 - 665858\/11.\nAnswer: -2*(k + 577)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-3)))\/(k*k*k\/((k*k**(1\/4))\/k)))**(-27)\/((k*k\/(k**(-1\/3)*k))**(-12\/5)\/(k**(-4)\/k**6)) assuming k is positive.\nAnswer: k**(2969\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -17*b**2 + 18*b - 147. Let f(x) = -9*x**2 + 9*x - 74. What is 15*f(l) - 8*u(l)?\nAnswer: l**2 - 9*l + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2441431, -2441428, -2441425?\n\"Answer: 3*k - 2441434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-45)\/18)\/(2\/4). Let z = 0 + l. Calculate the common denominator of (-1)\/z + 942\/40 and 79\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 199.5 - 199. Let j be 2\/8*(-8)\/(-3). What is the nearest to j in -0.1, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9514844.\nAnswer: 2, 2378711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 567.636 - 569. Let z = m + 0.967. Let y = -0.013 + z. What is y rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d**2 - 4*d**2 + 1 - 9*d**2 to the form x*d + u*d**2 + o and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39.9999934 + 40. Round w to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23030*p*s**2 + 2*p*s + 9*p - 816*s**2 + s + 622 wrt p?\nAnswer: 23030*s**2 + 2*s + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -17*z - 297. Calculate the common denominator of 89\/4 and f(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10127 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33\/1304 + 685\/1304. Let k = -1021 + 239934\/235. Which is smaller: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307127 is divided by 171.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) 2\/11 (b) 0.4 (c) 4 (d) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -1\/60*l**5 + 0 + 39*l**2 - 1\/6*l**3 - 3\/8*l**4 + 0*l. Let n be (6 - 5)\/(2\/(-14)). Calculate h(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 251, 253, 255, 257?\n\"Answer: 2*i + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x - 5*b - 65, x = -3*b + 9. Calculate the highest common divisor of x and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 + 53. Let o = 13841 - 152155\/11. What is the second biggest value in -0.3, -2, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 7\/31207843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(14 - 58821\/4200). What is the greatest common factor of 300 and p?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76395179 to the power of 1\/2, to the nearest integer?\nAnswer: 8740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 433.464 + 0.536. Let u = q + -433.6. What is the smallest value in u, 0.2, 0, -1\/105?\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 895 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 + -106. Let r = -20 + f. Let m = 25 + r. Let y(q) = -q**2 - q + 3. Determine y(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) -2.3 (c) -77\/2 (d) -5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = 9*a + 19*a - 790 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4120 - -16329. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**5\/3 + 20*r**4\/3 + 4*r**3\/3 - 68*r**2\/3 - 88*r\/3 - 32\/3.\nAnswer: 4*(r - 2)*(r + 1)**3*(r + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - j + 710 = 0. Let r = -245 - j. Suppose 0 = 2*m + 3*m - r. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7981 - -7989. Sort -2, q, -1, 5 in descending order.\nAnswer: q, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -3*a - 4, 24*a = 23*a - m - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 9*f**2 + 13*f + 13. Let y be a(7). Let g(l) = -1346*l - 4. Let u be g(y). Let m = u - -5460. Round m to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 7:32 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h - 68 - 67 + 97 - 2*h to i*h + n and give n.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 30 - 17 + 90*h - 80*h - 2.\nAnswer: 10*h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168678 + 57798 = -90*f. Is f a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164297 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*s - 4*c - 0*c, -c = -5*s + 27. Suppose 0 = p - 2*p - 5*u - 5, 0 = -s*p + 5*u + 5. Does 9 divide p - 0 - -2 - -16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36567 and 1683.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/5 (b) -6 (c) 36974\/5 (d) 0 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 0*b. Let p = -69 - -73. Solve b = -p*r + r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124794 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -191 + -62005689922\nAnswer: -62005690113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279 = 4*x + 23*m, -48*x = -50*x + 2*m - 36 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13.735010967 and -5.\nAnswer: -18.735010967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21079*i**3 - 359*i - 128 - 108*i**2 + 21087*i**3 + 47*i.\nAnswer: 4*(i - 16)*(i + 2)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**2 - l. Let m(t) = t**2 - 2*t. Let i(r) = 2*m(r) - o(r). Let c(u) = -10*u + 3*u + u**2 + 12*u**2. Determine -2*c(b) + 5*i(b).\nAnswer: 4*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-7))\/1)\/(4\/2)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {t: 2, c: 13, y: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/689 and 25\/104.\nAnswer: 5512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575 = 74*q - 131 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (0 - 0)) + 9131 + -9143\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3523 + -3401. Solve 5*i - x = -97 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/19 in 0.07, 0.2, 2\/9, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101 + 11101101100100010?\nAnswer: 11101101101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 7) + (-2 - (-6)\/1). Let y be -3 + -1 + 3 - 2 - h. Solve -2\/11*k**2 + 0*k + y + 6\/11*k**3 = 0 for k.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2331 or 2332?\nAnswer: 2331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1043)\/12963*9\/(-7)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 10 = -5*g, -1 + 9 = -2*g. Let n(d) = -d**2 - 8*d + 5. What is the remainder when 33 is divided by n(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/27 (b) -0.29 (c) -0.1 (d) -0.4 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, e: 2, r: 1, q: 4, n: 7}. What is prob of sequence ne?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - 2.1. Let s = 3 + x. Let z = -31 - -30. Which is the second biggest value? (a) z (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 0*a**2 + 10*a + 2*a**2 + 6 + 8. Let z = 2347 - 2349. What is the remainder when 20 is divided by g(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.156 take away 1268103?\nAnswer: -1268103.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -264*r**2 - 8 - 271*r**2 + 25 + 2*r**3 + 7 + 536*r**2 to u + f*r**2 + h*r + z*r**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (4 + -10)\/(10 + 171\/(-18)). Let h(z) = z. Let x be h(-2). Let w be x + (-3)\/(42\/(-22)). What is the nearest to b in -5, -0.4, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*m = 0, -3*g - 5*m - 3 = -2*m. Let b be g\/(21\/(-9) + 2). Suppose -2*d = 2*a + b + 5, 4*a - 5*d = -10. Let p(z) = 2*z + 5. Calculate p(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*p - h, 9*p - 7*p - 10 = -2*h. Solve 9*i = p*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3525*j - 3521*j - 19 = 0, -5*j = -35. What is the least common multiple of p and 9585?\nAnswer: 9585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1208*m - 3. Let p(i) = -477*i. Let n(h) = -1312*h. Let k(g) = 4*n(g) - 11*p(g). What is r(k(c))?\nAnswer: -1208*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 9?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.69 + -3.79. Let x = 135 - 102. Which is the nearest to -1? (a) -1\/3 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7*r = 30801. Let y = -5876 + r. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58348 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213604 is divided by 71182?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*a**3*c**3 + 3*a**2*c**2 - 4*a*c**3 wrt a.\nAnswer: -312*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*10\/(-240)*3.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (4 + -4) - (-6 - -6 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 - 71. Solve 10*a = p*a + 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.3. Suppose 5*h = g - 15, -g + 4*h = -6*g + 17. What is the closest to q in 0.3, -1\/4, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3038542\/5 + 607709. Let a be (-2 - -1)*(-2)\/6. What is the second biggest value in -1\/2, 1\/9, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051 is divided by 238.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1437 - 951 = 0. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 576*m**3 + 58820*m**2 + 6292*m - 65688 = 0. What is m?\nAnswer: -102, -161\/144, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*s + 62*s + 23544 = 0. Calculate the greatest common factor of 24 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -62)*(-10)\/(-45).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, -7\/6, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 28 - (-9 - -12). Let p = r + 32. Calculate the remainder when (16 + -74)\/(0 - p\/(-2)) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -14*h - 98. Determine j(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*w + 31 = 0, 3*n - 165 = -2*n + 5*w. Solve a - 5*g + 24 = 0, 5*a - 5*g + 12 + n = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: What is the ten thousands digit of 415705628?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*b + 9927 - 10053 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.05, 4\/7, -2\/31, 0.1?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04, 4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -22*o**3 + 3*o**2 - o - 2. Let i be m(2). Let j be i\/9*(3 + 0). Let p be (2 + -1)\/(j\/(-8)). Which is the nearest to -1? (a) 3\/2 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 25*g**2 + 6*g**2 + 370*g - 21*g**2 - 9*g**2 to the form m*g + x*g**2 + z and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oool. What is prob of sequence oo?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17287, 17272, 17257?\n\"Answer: -15*q + 17302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1188, 2377, 3566, 4755, 5944?\nAnswer: 7133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 v when four letters picked without replacement from {m: 5, v: 3, t: 1}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 87697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k + 0 + 0 + (-4 + 2 + 4)*(-k + 1 - 1) + 4*k + 2*k - 5*k - 2 + 2 + 4*k - 3 + k + 3 + (2 + 1 - 2)*(4 + k - 4))*(-91*k**4 - 7 + 7).\nAnswer: -1001*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 3*m + 14, -16*m + 17 = 5*u - 20*m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -122927 from 2115291.\nAnswer: 2238218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 386\/3 + -129. Let u = 1 + g. Suppose 4*p - 3*m = -109, 79 = -4*p + 4*m - 25. Is u < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 132, 573, 1328, 2397?\n\"Answer: 157*g**2 - 30*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 5608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 5. Let p = q - -7. What is the units digit of (-50)\/(-6) - (-4)\/p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d + 600 = 0. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/72 and 79\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z - 3*r - 3 = 0, z + 6 = 4*r. Let v = 12759 - 12758.5. What is the nearest to z in 4, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 82 - 36 = 0. Suppose 0 = 3*g, -5*n + 6*g = 3*g. Suppose n = -p + i + s, p + 3*i = 8*i + 122. Calculate the greatest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**4\/6 - 3622*b. Let c(q) = -2*q**2 - q - 5. Calculate c(j(a)).\nAnswer: -8*a**4 - 2*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 5*n + 2. What are the prime factors of q(-7)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**3\/9 + 10900*v**2\/3 - 9634088*v\/9 + 6379136\/3 = 0.\nAnswer: 2, 304, 7869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -2.4. Let l = 2 + r. Suppose 39*b = 42*b - 5*g, -64 = -4*b - 4*g. What is the third biggest value in 5, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14803 - 14803. Let r(o) be the first derivative of 0*o + 17*o**3 + p*o**4 - 8\/5*o**5 + 0*o**2 - 35. Find the third derivative of r(u) wrt u.\nAnswer: -192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2165111?\nAnswer: 13, 29, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/324645496 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -877 + 872. Let s(m) = -2 - 2*m**2 + 3 + 3*m**2. Let r(a) = -4*a**2 - a - 5. Let g(n) = v*s(n) - r(n). Determine g(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 230, 356, 484, 614, 746?\nAnswer: 880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 101711270 to the nearest one million.\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, i: 12}. Give prob of picking 2 i.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 97599.33ms in nanoseconds?\nAnswer: 97599330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2373452 and 115\/73514.\nAnswer: 16614164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 - -68?\nAnswer: 67.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -369134?\nAnswer: 7382.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3331312 (base 4) to base 15\nAnswer: 4c31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 6:04 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9759 divided by 3.\nAnswer: -3253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 442 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011000101110011011 (base 2) in base 10?\nAnswer: 625563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8421.2 - -8421. Which is the biggest value? (a) p (b) -4 (c) -1 (d) 1 (e) -472\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*a - b + 3*b, 2*a + b + 3 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 9:53 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39833*k**2*x**2 - k*x - 1211*k - x**2 + 1 wrt k.\nAnswer: -79666*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 + j + 2. Suppose 0 = -9*r + 4*r - 105. Let u be (-2)\/(-7) - 3*(-23)\/r. Let d(s) = -2*s**2 + 1. Determine u*a(y) + 5*d(y).\nAnswer: -y**2 - 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22329 or 1?\nAnswer: 22329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 18. Let f be m(18). Suppose -5*g + 9*g - 188 = f. List the prime factors of g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -23, -1, 5.\nAnswer: -23, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*r**2 - 239803*r + 239803*r.\nAnswer: -156*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1672175 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 - 3 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a829 (base 11) to base 14.\nAnswer: -17316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4077 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -197.3007639 to 1 decimal place.\nAnswer: -197.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 11*t**2 + 1. Let h(i) = i**3 + 5*i**2 - 8*i - 5. Let a be (14\/6 + -3)*9. What is the remainder when m(1) is divided by h(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4676297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22085472 a multiple of 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 71760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -201 + 406 - 794*h - 207 as r*h + s and give r.\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.53 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*k - 134*k = 76*k + 2376 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 376772598 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, -4, -12, -22, -34, -48?\n\"Answer: -y**2 - 3*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 1, k: 1, x: 1, p: 4}. Give prob of sequence ky.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-1*-3 + sqrt(70) + 6*(sqrt(70) + (sqrt(70) - sqrt(70)*-1)))\/((-5*(sqrt(120) + sqrt(120)*-2 + sqrt(120) - sqrt(120)))\/(sqrt(768)\/sqrt(4)))*-6.\nAnswer: -528*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -219 - -1?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25, -68, -121, -190, -281, -400?\n\"Answer: -z**3 + z**2 - 39*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21588\/8995)\/(8\/(-10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.43 + 0.43. Let q be ((-12)\/(-9) - -1) + -3. What is the nearest to q in -0.3, 2\/7, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) 27 (c) -0.3 (d) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g + 3. Let l be -24 + 23 - 1*(2 - 0). Calculate v(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45601\/4 + -11400. Which is the closest to 3.6? (a) 0.4 (b) w (c) -0.3 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 536 and 670.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-6))\/((-4)\/(-30)). Let p be (13\/3 - 4)*-201. Calculate the remainder when 24 is divided by (-14)\/35 - p\/b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 1, 2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 1963.\nAnswer: -588.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = x - 8. Suppose 4*a - p + 19 = 0, x*a + p = 5*p + 8. Does 18 divide (-20)\/a*66\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*c + 5 = 5*r, -5*r = c - 11. Suppose 31*z + 18 = -3*v + 28*z, 2*v + 30 = -5*z. Solve v*a - 2 = 3*a - r*p, p = -5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1355 - 4?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -11*c - 48 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 4, 2\/13, 0.02 in decreasing order.\nAnswer: 4, 2\/13, 0.02, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 1:16 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -4*c, 3*y = -2*c + 6. Let h(t) = 2*t**3 + 2*t**2 - 4*t + 3. Does 13 divide h(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 13*v - 8*v. Suppose 0*a = -5*a + 2*r, v = -3*a + 3*r. Suppose 2*u - 628 = -a*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1432 and 2506.\nAnswer: 10024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w - 2*w - 2*w)*(17*w**2 - 13*w**2 + 11*w**2 + 17*w**2) as r*w**3 + s + c*w + o*w**2 and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 7*i + 8226. Let d = -738 - i. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12627, 24159, 35691, 47223, 58755?\nAnswer: 70287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**2. Let d(c) = 1060*c. Give d(t(l)).\nAnswer: 5300*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(38)\/(sqrt(2) + (sqrt(2) + -4*sqrt(2)*1 - sqrt(2))))**2 + -5 + sqrt(209)\/sqrt(11) + 2).\nAnswer: -8\/3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 1. Let u(t) = -9*t - 2 + 7*t - 5*t + 6*t. Calculate -5*o(i) + 2*u(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5388 (base 9) in base 13?\nAnswer: 1a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24997, -50776, -76553, -102328, -128101, -153872?\n\"Answer: u**2 - 25782*u + 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -403557150*f**3*t + 368*f**3 - 16*f**2 + 41*f - t**2 + 4 wrt t.\nAnswer: -403557150*f**3 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 6*r**2 + r - 4. Let l = -9 + 15. Let w be f(l). Suppose 0 = 3*s + w*s - 30. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/1235 and -44\/13091.\nAnswer: 65455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25592?\nAnswer: 2, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/258 - -1016\/129. Let g(b) = -b**2 - 6*b + 6. Find the common denominator of g(-5) and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8616 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022329385 to 4 dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40739 (base 14) to base 3.\nAnswer: -21212201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.4 - -14. What is the smallest value in 1\/9, -4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a6 (base 16) to base 15.\nAnswer: 9c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0*t + 126*t**2 - 1\/4*t**4 + t**3 + 0. Let v(w) be the first derivative of w**3\/3 - 1. Determine v(h(z)).\nAnswer: 36*z**2 - 72*z + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 912, 913, 914?\n\"Answer: p + 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -107*t + 56*t + 57*t. Let q(h) = -12*h - 2*h + 11*h. What is x(q(r))?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 12 = -0. Let r = 8 - j. Let b be r\/(-10) + (-6)\/(-15). Solve b*h + 3*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**5 - 320*o**4 + 2330*o**3 - 5120*o**2 + 4505*o - 1400 = 0. What is o?\nAnswer: 1, 5, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/224 and 1701\/6237*((-90)\/56 - -1)?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*i = -1007, -22*r - 3*i = -17*r - 1258. What are the prime factors of r?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219398 + 203833 - 423231 - m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 5. Let r be i(5). Suppose r = -3*u + k + 8, 2*u - 3*k + 5 = 1. Suppose -28 - 8 = -u*g - 3*v, 5*v + 18 = 2*g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/546 and 68\/27116817.\nAnswer: 54233634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 152072 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: Suppose 3*c + 308 = 47*c. What is the smallest common multiple of c and 755?\nAnswer: 5285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 4:03 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 11*p**3 + 15*p**2 - 2*p + 1. Let a(i) = 4*i**3 + 5*i**2 - i. Let r(y) = -8*a(y) + 3*d(y). What is the remainder when 54 is divided by r(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-42)*(184\/(-644))\/(2\/(-21)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 1. Let x(t) = -6*t**2 - 17*t - 12. Suppose -2*j + 9 = 1. Let a(l) = j*d(l) - x(l). List the prime factors of a(-12).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, z: 5, g: 3, x: 7}. Give prob of picking 2 g and 1 z.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -12, 33, -5, -3 in ascending order.\nAnswer: -12, -5, -3, 33, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1673452?\nAnswer: 2, 11, 73, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 68 - 59 - -1 - (-1 - -14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {n: 1, j: 2, q: 6, u: 4, h: 7}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -20. Let r = -29 - -28. Let m be (r\/2)\/((-4)\/t). Solve 0*y = y - o, 0 = 5*y + m*o - 20 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-12) + 10\/8. Suppose 8 = n*f - 6. Let o be (4\/6)\/((-6)\/(-693)). What is the highest common factor of o and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + 5 - 22)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**2\/3 + 65058320*v - 793609687729200 = 0. Calculate v.\nAnswer: 24396870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Let x(i) = -2*i + 1. Let s(b) = -3*b - 11. Let j(k) = 2*k + 7. Let r(f) = -8*j(f) - 5*s(f). Calculate y*r(d) - x(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 4. Let c be o(-6). Suppose -2*s = 3*s - c*i, 0 = -4*s + 3*i. Suppose 2*l - 4*l + 16 = s. What is the least common multiple of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) - (-33)\/9. Solve d + 20 = -o*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2*3)\/2)\/(36\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 15. Suppose -r + 3 - 9 = 0. Let a be (r\/4 - -2)*-30. Let k be p(a). Is k != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*h + 27, -6 = -5*h - 1. Find the third derivative of 0*f**3 + 4*f**3 - 2*f**a + 3*f**2 - 4*f**3 wrt f.\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -165*h + 118*h + 192324. What is the greatest common factor of 264 and h?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -10, -5, -2, -4, 79 in increasing order.\nAnswer: -10, -5, -4, -2, 33, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2*k**3 - 5*k**3 + 4*k**3 - 12*k**3 - 6*k**3 - 9*k.\nAnswer: -17*k**3 - 9*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6042851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 8642*x**4 + 2*x**2 - 5 - 16*x**3 + 17296*x**4 + 2*x - 8640*x**4 to f + m*x + k*x**4 + u*x**2 + q*x**3 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 55?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/49 or 4093?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 12*p + 35. Calculate h(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -198 - -207. Which is smaller: n or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 77, 270, 645, 1262, 2181?\nAnswer: 3462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*b - 37*b - 1238 - 2190 - 412 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31.53 + 32. Let h = n + -0.4858. What is h rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v\/(v**(-1\/4)\/v)*v)*v)\/v)\/v**6)\/(((v**(-2\/3)*v)\/v*v)\/(v**8\/v))*v*(v*v**(3\/5))\/v*(v*v**(-7))\/v*v*(v**(1\/2))**(-2\/59) assuming v is positive.\nAnswer: v**(-17701\/3540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005127325 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06834717 to five decimal places.\nAnswer: -0.06835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 8*o - 10 = 0. Suppose -20 = -o*m + 20. What is the remainder when 54 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 143?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1567995 divided by 47515\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 836.\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9663837cm to kilometers.\nAnswer: 0.000009663837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.3, -1\/4, 0, 3\/4 in decreasing order.\nAnswer: 3\/4, 1\/2, 0.3, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 22*b**2 - 34*b - 34. Let v(t) = 2*t**2 - 3*t - 3. Let y(w) = w**2 + 7*w - 14. Suppose 12*o + 24 = 9*o. Let k be y(o). What is k*u(f) + 68*v(f)?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 689818.1 meters to millimeters.\nAnswer: 689818100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 739 - 712. Calculate the greatest common divisor of 117 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*r - 12, -3*j + r = j - 59. Let w = 17 - j. Let v(g) = 6*g**3 - g**2 + 1. Determine v(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -176498 or -176499?\nAnswer: -176499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159 - 159.298. Let l = r + -0.022. Let i = -0.32 - l. Which is the nearest to -2\/5? (a) 3 (b) 2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -751 - -763. What is the smallest common multiple of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -2*m**3\/3 + 19*m**2\/2 - 24*m + 225. Determine j(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 88\/(-6)*(-30)\/(-20). Let k be (-4)\/f - 130\/(-11). Solve -2 = 5*s - k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3743.03 * -2\nAnswer: -7486.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, k: 2, q: 1, j: 1, b: 1, h: 1}. What is prob of picking 1 j and 1 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 315 + -151. Let c = t + -88. Let a = 72 - c. Let b(w) = 2*w + 6. Calculate b(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -16. Let n(m) = -m + 7. Let a be n(v). Suppose -4*p + 3*z + 32 = a, 4*z + 0 = 2*p - 6. 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 greatest common factor of 189840 and 405930.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -781.871 - -781.8. What is the nearest to -2\/5 in h, 0, -4, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36720 and 216648.\nAnswer: 2166480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 427119293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 + -323\/5. Sort 3\/5, d, -4.\nAnswer: -4, d, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*i - 3*x, 13 = 8*i - 3*i - 2*x. Suppose 19 + i = 2*d. Let h = 10 - d. Solve -a = -4*b + 1, 0 = -2*b - 3*a - h*a - 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 39. Suppose -4*w = -5*g - 35, 3*w + w = -3*g + 11. Suppose 0 = -8*f + w*f + 9. Solve b = y - f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 89. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lexiv. What is prob of sequence iv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l - 576. Let i be (-4)\/(l\/(-116)) + 3. What is the second biggest value in 3\/7, -0.5, 2, i?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -37*i - 34. Give g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 5*w - 2. Let c be l(-3). Let a be (-1 - 0)*c\/(-16). Factor 0*u**2 + 0 - a*u**3 + 0*u.\nAnswer: -u**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808603817?\nAnswer: 7, 1049, 110119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(1\/8))\/(o*o\/(o**(3\/4)\/o)))**(-8\/5) assuming o is positive.\nAnswer: o**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22801 is divided by 7597?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 9*o**2 + 1. Let c be f(2). Suppose 3*y + 142 = -5*m, 2*y = 3*m - 4*m - 34. Let b = c + m. What is the remainder when b is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a day in hours?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117882248 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3005 and 54691.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 299*h - 154*h + 2863 - 144*h in the form d + k*h**2 + l*h and give d.\nAnswer: 2863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5 + 18*m**4 - 139*m**3 + 120*m**2 = 0. Calculate m.\nAnswer: -24, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c + 14. Let p be (8 + -13 - 8\/(-2)) + 9. Let m(o) = 2*o + 5. What is p*m(q) - 3*v(q)?\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 593882881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -237011 (base 11) in base 8?\nAnswer: -1335072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/80 < -23\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*h**5 + 2*h**5 - 25*h**5 + (2*h**3 + 2*h**3 - h**3)*(2*h**2 + h**2 - h**2).\nAnswer: -44*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 147 + 3*l - 290 + 151 - 8*l**2 - 6*l**2 + 3*l**2 + 4*l**2 + (3 - 1 - 4)*(0*l + 0*l + l**2) + l - l - l**2 as f*l**2 + b*l + y and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrwwrrrr. What is prob of picking 2 w?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**7\/735 + 2*i**2. Factor c(f).\nAnswer: -2*f**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (1870 + -1741 - (2 - 0))?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**5\/36 + 55*o**4\/72 - 65*o**3\/9 - 70*o**2. What is p in m(p) = 0?\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*o - 90*o = -71*o - 1560 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/4*(2 - -2). Solve 6*y - y = -m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m**2 - 81*m - 12. Is 50 a factor of q(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 14472 = 4*l. Suppose 0 = -4*g + 8 - 12, 3*j - 3*g - l = 0. What are the prime factors of j?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149136 times -100\nAnswer: 14913600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 16840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 33295.\nAnswer: 99885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 8 + -40 - -6) + 7 + -4\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 59 = -5*j - 36, 3*q - 175 = j. Suppose -5*b - 5*b = -q. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-189)\/45)\/((-42)\/70)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46510470.\nAnswer: 2, 3, 5, 17, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/4 and -11\/9456.\nAnswer: 9456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297661 a multiple of 685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 4105199.\nAnswer: 20\/4105199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 5*s - 8*s + 6*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 78*c**3*q - 29*c**3 - 5*c**2*q + 23*c**2 - 1080*c*q + 83*c + 2 wrt q?\nAnswer: 78*c**3 - 5*c**2 - 1080*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3)\/(-36))\/(10\/116) and 462\/(-24) + 6\/(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-30)\/(-4))\/5)\/((-3)\/104). Let d = 44 + o. Calculate the common denominator of ((-12)\/(-1))\/(171\/(-18) - d) and 7\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-560)\/80*(-29)\/((-1218)\/(-450)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 j, and 1 y when three letters picked without replacement from nqybblbljqbqyq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 3797545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 6.3. Sort c, -4, -5.\nAnswer: -5, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 16 - 4. Suppose -v*s + 1376 + 538 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -149\/10 + 57\/5. Let z(r) = -r + 1. Let u be z(1). What is the second biggest value in v, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -27*n + 44*n - 27*n. Let m(k) = 4*k - 5*k - k. Give d(m(y)).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-5376)\/140)*(0 + 6\/5)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39 and 5.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7010 + 109*x - 7006 + 14014 + 3*x - x - x - 4*x + 2*x + 4*x + (-5*x + x + 5*x)*(3 - 1 + 0).\nAnswer: 114*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 292 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 4. Let f(q) = -2*q - 5. Let u = 477 - 481. Determine u*f(g) + 3*o(g).\nAnswer: 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10910421.\nAnswer: 3, 53, 89, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24578 + 34495. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 629 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/(-2) - 12\/(-24). Differentiate -3*g**3 + 3*g**3 + 150 - q*g**4 - 143 wrt g.\nAnswer: -56*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 9:19 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29.31301737 - 84.88699589. Let d = -114.2 - t. What is d rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i**2 - 8. Let y be f(8). Let u = y - -550. Let r = u + 33. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43815427 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2070 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 38384*o.\nAnswer: 4*o*(o - 9596)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -1 - (188 + -68) - 20) + 10?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 8. Let w be t + -2 - (0 + 2). What is the remainder when 10 is divided by -2*1\/(w\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:34 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 2*d + v, -3*v - 91 = -2*d - 0*v. Calculate the remainder when 263 is divided by d.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4086.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/10*18\/3. Let c be 48\/9 + 2\/n. Let y be -4 + c + (0 - -2). Solve -y*a = -7*a + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 780*x**3 - 3442*x**2 + 1292*x - 16 = 0. What is x?\nAnswer: 1\/78, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 0 - 5\/6*c**3 + 5\/6*c**2 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3536 = -5*b, 2080 = 3*b + 3*j - 56. What are the prime factors of b?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59\/4 + 15. Let j = 2 - 0. Sort d, j, -2 in ascending order.\nAnswer: -2, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-5) + 1678\/10?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -23*b + 510. Calculate the least common multiple of 300 and y(22).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 + 171. Suppose 15*j - u*j = 1008. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(50\/(-300))\/((-1)\/(-10)). Solve 0 = -4*x - 4*u + 24, 7 - 31 = -3*x - k*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.032922 times -210\nAnswer: 6.91362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65.9 - 65.4. Let o = -2.03 + 0.03. Let z = 4 + o. What is the closest to z in f, -3, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13064603\/90868674 + -1\/115609. Let z = x + 3\/131. Sort 0.1, z, 0.5 in decreasing order.\nAnswer: 0.5, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -5\/332?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-23)\/f**(-16) assuming f is positive.\nAnswer: f**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -266\/17 - -515\/34. Which is the nearest to -0.3? (a) v (b) -2 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t\/(t*(t*t*t**(2\/9)\/t)\/t*t)))\/t)\/(t*(t\/(t*t**(-5)))\/t))\/(t**(-1\/4))**(1\/23))**(2\/21) assuming t is positive.\nAnswer: t**(-3119\/8694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43456643 - 1.2.\nAnswer: -43456644.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2213668?\nAnswer: 2, 553417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1033122104 + 1040?\nAnswer: -1033121014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*l - 274*l - 87*l**2 - 48*l**2 - 94*l**2 + 554*l.\nAnswer: -229*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 754, 780, 822, 886, 978?\nAnswer: 1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v - 15. Suppose 0 = 2*i + v*i - 203. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 636 + -534. What is the remainder when l is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.031 (b) -0.2 (c) 5 (d) -1\/2 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 11:28 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 6.4, -1336.\nAnswer: -1336, -2\/3, 6.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/1)\/((-39)\/(-26)). Suppose -4*h + j*b = -1154, -5*h - 5*b + 559 = -3*h. Let g = -192 + h. Is 23 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82*(-30)\/(-20)*-1*(8\/(-2))\/(-12).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 4*s - 22*s + 54*s.\nAnswer: 36*s - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 2*r - 625. Let c be (-4)\/26 - 22\/(-143). Let z be u(c). Let d = -294 - z. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -91 + 21. Suppose -t*g = -71*g + 5. Suppose z - 38 = d + 57, 371 = 4*z + g*d. List the prime factors of z.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4273289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 7*r + 2. Give s(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 u, and 1 z when four letters picked without replacement from {n: 1, i: 5, s: 1, f: 1, z: 3, u: 3}?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*u + 28030596 = 4*u + 76*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0413 * 90.\nAnswer: 3.717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2305*n**2 - 1006*n + 9. Let k(y) = 576*y**2 - 249*y + 2. Let l(q) = 2*b(q) - 9*k(q). What is the second derivative of l(v) wrt v?\nAnswer: -1148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122971 = 5*g + 2*l, -5*g + 39375 = 4*l - 83602. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v**3 - 9*v**2 - 5*v - 9. Let s(f) = 11*f**3 + 14*f**2 + 8*f + 14. Let q(l) = -5*s(l) - 8*y(l). What is the remainder when q(4) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 65.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w - 3*w + 2*w + 10*w - 3*w + 0*w - 3 + 3 + w + 2*w + 0*w - w + (-3 + 1 + 0)*(5*w - 4*w + w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 51\/2 of a day?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2271825*y**4 - 2357306 wrt y?\nAnswer: -9087300*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 43*s + 3. Let l be x(-1). Let k = -38 - l. Suppose -a - k*a = -9. Solve a*n = -n - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 12*s - 1. Let k be r(10). Let h(m) = 2*m**2 - 4*m - 1. Let w be h(6). Let x(i) = i + w - 28 - k. Let g(t) = 2*t**2. Give x(g(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u - 9. Suppose -5*l + 27 = w, -l - 7 = 5*w + 2. Let i be p(l). Suppose -c + 35 = i. What is the highest common divisor of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36257*d*w - 2647963*d + 14*w wrt w.\nAnswer: -36257*d + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 - 43 + 19*b**3 - 5*b**2 + 44. Suppose 0 = -5*u + 9 - 4. Let l be f(u). What is the highest common factor of l and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**2\/7 + 57588*r\/7 - 10404375\/7 = 0?\nAnswer: -19375, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3179 + -1943. What are the prime factors of v?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -272 + 2444\/9. Sort x, -0.1, -0.02, 5 in increasing order.\nAnswer: x, -0.1, -0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*d + 42. Let j = 45 - d. Suppose i + i - 52 = -2*n, -n + 38 = -j*i. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 4*p - 3. Let k be v(-4). Calculate the highest common divisor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(5\/4)*h**(-1\/9)\/h*h)**17 assuming h is positive.\nAnswer: h**(697\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*g - 251 = -r, -3*r + 2*g - 253 = 0. Let q be 1\/3 + 415\/(-3). Let m = r - q. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*h + c + 1, 0 = -2*h + c - 1. What is the second derivative of 4*m + 3*m + 14*m**3 + h*m wrt m?\nAnswer: 84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*35\/(-168))\/((-165)\/(-72))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooox. What is prob of sequence oo?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 169 = -62. Let v be x\/44*12\/(-1). Let u(r) = r**2 + v*r + r**2 - r**2 - 23*r + 3. What is u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 28*p**2 - 18*p + 32. Let v(k) = -3*k**3 + 82*k**2 - 55*k + 102. Let m(s) = 11*d(s) - 4*v(s). Determine m(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380174 divided by -2?\nAnswer: -190087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 568156 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -5*l**4\/2 - 2*l**3\/3 - l**2\/2 - 5. Let c(b) = b**2 - 4*b + 2. Let j be c(3). What are the prime factors of u(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002211220112 (base 3) in base 13?\nAnswer: 17754b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 6:33 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g - 3*g + 137*g. Let n(x) = 7*x. Determine n(o(h)).\nAnswer: 980*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 243.9698 + -244. Let j = k - -0.029701. Round j to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 25 = s. Let v(b) = 2*b**2 + 4*b - 7. Is 16 a factor of v(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/14 - 0) + (-54852)\/98. Let y = -250 - f. What are the prime factors of y?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110.69 - 22.3. What is a rounded to 0 dps?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65658 and 16554.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53.049 + 53. Let z = -0.971 + n. Let t = z + 0.02. What is the second smallest value in t, -1\/2, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175276.\nAnswer: 2, 29, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -10331?\nAnswer: 10323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 943 and 66461.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/6)\/((-4)\/16). Let j = -3 - -5. Suppose -5*d - b*p + 25 = -17, j*d + p - 16 = 0. Calculate the least common multiple of 12 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1651 rounded to 3 dps?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 12\/8)*(-5 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 233*y - 234.\nAnswer: (y - 1)*(y + 234)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -16*g**2 - 90*g + 254. Give n(3).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = 20*i - 36639. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 18*c**3 + 2*c**2 - 4*c - 2. Let w(d) = 10*d**3 + d**2 - 2*d - 1. Calculate 3*g(n) - 5*w(n).\nAnswer: 4*n**3 + n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 105.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-8) + (-1)\/4. Suppose -6*o + 32 = -g*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020.5*-1\nAnswer: 1020.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -546 - -562. What is the remainder when 332 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27, 56, 85, 114, 143, 172?\n\"Answer: 29*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*j - 15. Suppose -d - i = -40, -29 = -d - j*i + 15. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 30 = 58. Let y = q - -57. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36261532 and 44?\nAnswer: 398876852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -70, -73, -76, -79?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482870119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.8747 * -17933\nAnswer: -33618.9951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/1 + (4 - 5). Sort -1, m, 4 in descending order.\nAnswer: 4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 394147768*g**2*n**2 + 1276*g**2*n - g**2 + g*n - 3*g + n + 9 wrt n?\nAnswer: 788295536*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9230)\/(-52))\/(-71))\/(-5*2\/6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iffrffeiffxjjf. What is prob of sequence rxf?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 1\/4, -10\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 750*l = 1261*l - 23506 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48177 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 x when four letters picked without replacement from kxxkk.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (134\/(-12) + 36\/6)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(10\/3))\/(j*j\/(j**(-2\/5)*j*j)))**(-42) assuming j is positive.\nAnswer: j**(574\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 64649.181951+-0.087\nAnswer: 64649.094951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {j: 1, c: 2, a: 8, g: 1, k: 5}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + sqrt(176) - sqrt(176)) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -647 - -674. Suppose p = -3*p + 864. What is the highest common factor of p and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 19 = -4. Suppose 2*w - 4 = 3*m, -2*w - w = -5*m - u. Let h be (2\/(-5))\/((-1)\/w). What is the greatest common factor of 4 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 377 + -137. Let k(b) = -2*b - 8. Let v be k(-4). Suppose 2*z = -q + 32, 4*q - 116 = -v*q - 5*z. Calculate the greatest common factor of q and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48678676*y**3 + 132*y - 1976 wrt y?\nAnswer: 292072056*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41171700, 82343400, 123515100, 164686800, 205858500?\nAnswer: 247030200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 19\/4 of a second?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**9\/1008 + b**6\/360 + b**3 + 2. Let j(l) be the third derivative of x(l). What is the third derivative of j(t) wrt t?\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = 31 - 171. Solve 0 = -7*y - 15 - x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*k + 2040, 0 = 5*k - 0*g + 5*g - 5120. What are the prime factors of k?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 21232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sse when three letters picked without replacement from sshee.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 9 = -4*c. Suppose c*k - 7 - 5 = 0. Suppose -p + 3*y + 833257 = 213260, k = 4*y. Round p to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from znnznigclnlg?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 1067 = 382. What is the units digit of (-5460)\/v*((-12)\/5)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 4 + (-1 - 3 + 3)*(4 - 6 + 4) - 3 + 3 + 2 + 7 - 18 - 4)*(-3*t + 3*t - 2*t**2) to the form x*t**2 + f + q*t and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/4 + -13\/20. Let v = -85\/3 + 28. Which is the nearest to -1\/5? (a) -1\/2 (b) v (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 134\/26 + 20\/(-130). Suppose 4*y - 1 = 2*f - 5, 5 = 5*y - k*f. Is (-1 - -3) + (121 - y) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -13*u. Suppose i + 2*i - 9 = u. Suppose -4956 = -3*j + 5*x, i*x - 1666 = -j - 0*x. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**5\/30 + 5*u**4\/12 + 19*u**3\/6 + 2*u**2 - 31*u. What are the prime factors of i(-10)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -400, -24 in decreasing order.\nAnswer: 1, -4, -24, -400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7 - (11 - 0 - 12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.716 from -1769706.61.\nAnswer: -1769702.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 6*o**2 - 4*o + 7. Let a be d(-5). Suppose -33 = a*x - 85. Find the common denominator of ((-2)\/22)\/((-4)\/x) and 37\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 12*m**2 - 16*m + 37. Does 4 divide f(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 797, 807, 831, 875, 945, 1047?\n\"Answer: w**3 + w**2 + 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*o + 99*o - 25*o.\nAnswer: 148*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0075296703 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3617, 1451, -715?\n\"Answer: -2166*h + 5783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 - -254. Let h = z - 173.5. Let j be (4\/72)\/(1\/(-2)). Which is the third smallest value? (a) h (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + 0.4. Let p = 3 + t. Which is the closest to 0? (a) 1\/4 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 540075600*m**3 + 200876182.\nAnswer: 1620226800*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + d + 83 = 0, -5*i - 163 = -i + 3*d. Suppose -28 = 3*f - 4*x, 11*x - 10*x = 3*f + 34. Let l = f - i. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 12:03 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - -35) + 58\/12*(-16)\/12?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**7*j*j))\/j**(-14) assuming j is positive.\nAnswer: j**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/2 of a litre in millilitres?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -174*z - 189*z + z**2 + 88*z - 59*z + 4 as h + j*z + u*z**2 and give j.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozjxejdxd. What is prob of sequence xzoe?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.029, 0.4, -155, 3\/5?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.84650662 to two dps.\nAnswer: 4.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 900792.8 years?\nAnswer: 9007.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*v + 3*k + 835202, 0 = 3*k + 3. Suppose -5*b = -11*b - v. Round b to the nearest 1000.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 11. Suppose x + x - z = 0. Solve -3*k - 2 = x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/4*d**2 + 171\/4*d + 51\/2.\nAnswer: 3*(3*d + 2)*(3*d + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4 + (-1 - -9) + -4826 + 4826\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w - 6. Let c(p) = 2*p - 1. Let h(t) = -9*t + 4. Let a(f) = 11*c(f) + 2*h(f). Let m be (-8 - 4)*3\/6*-1. Calculate m*s(j) - 13*a(j).\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179940?\nAnswer: 2, 3, 5, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22874897 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, -1\/12, -1\/2, -12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -11*g - 41844. Let j = g - -285304\/75. Which is greater: j or -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*h - 38*h - 4098 = 0. Suppose -11*g + 822 = x - 12*g, -5*x + h = -g. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6563349 by -207.\nAnswer: 31707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526899539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 303390 * -0.5\nAnswer: -151695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + 1175?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -261?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 2530262?\nAnswer: 5060524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*l - 4*s - 833445 = -145*l, 3*l - 833454 = s. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3178 - 2510 = 632*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**2 + 3*i**2 - 7*i**2 + 9*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1227 (b) 1 (c) 1\/2 (d) -12 (e) 0 (f) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 181394834 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a week in minutes?\nAnswer: 88704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -465*x**4 - 5*x**3 + 2*x**2 - x + 15203 wrt x.\nAnswer: -5580*x**2 - 30*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.45, -2\/13, -3 in ascending order.\nAnswer: -3, -2\/13, 0.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -9 + 4. Which is bigger: d or -2\/71?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 608, 2408, 5396, 9572?\n\"Answer: 594*h**2 + 18*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 + -2. Let w = -0.1 - k. Which is bigger: w or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 - 10*l**4 - 77*l**4 - l**4 + 0*l**2 + 0*l**2 + (1 - 1 + l**3)*(-2*l - 4*l + 5*l).\nAnswer: -89*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 0 - 1\/60*y**6 - 38*y**2 + 0*y + 0*y**3 + 1\/30*y**5 + 1\/8*y**4. Give k(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 89*d**5\/10 + 223*d**4\/6 + 353*d. What is the third derivative of s(t) wrt t?\nAnswer: 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y - 52. Let n(v) = v + 6. Let d(l) = -6*b(l) - 52*n(l). Let f(s) = 22*s. Give f(d(z)).\nAnswer: -88*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 0 - (-48)\/(-18). Let a = -1 + 1. Let y = a - -1. Put 4, y, f in increasing order.\nAnswer: f, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4 - 0. Let a(b) be the third derivative of 7*b**4\/8 - 654*b**2 + 2*b. Let z(k) = 3*k. What is u*a(s) - 27*z(s)?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)\/(((d\/d**3)\/d)\/d))\/(d**(-10\/3)*d**(-11)) assuming d is positive.\nAnswer: d**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1714799 is divided by 3656?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 3:16 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 8*g - 5. Let z be s(-7). Suppose d + d - z = 0. Calculate the least common multiple of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11243000 rounded to the nearest 100000?\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -169999\/154 - -7704\/7. Let x = -24777\/322 - -1617\/23. What is the common denominator of y and x?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4 = -f, 5*y - 61 + 1 = 20*f - 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1999\/11 - 11587\/66. Let c(v) be the third derivative of 0*v - h*v**3 + 0*v**4 - 7*v**2 + 0 - 17\/30*v**5. Differentiate c(g) with respect to g.\nAnswer: -68*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 98101896 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32635, -32632, -32629?\n\"Answer: 3*y - 32638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-462) + 448\/(-4704)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -58, -173, -380, -691, -1118, -1673?\n\"Answer: -2*f**3 - 34*f**2 + f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1668.73647 rounded to the nearest 10?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b. Let r(a) = -1. Let p(d) = -2*r(d) - w(d). Let v be 4*(-1 + 3\/2). Give p(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b + 16. Let n be 0*(-3 - b*1). Is n < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185087957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9 - 4.93. Let t = d - -0.03. Let a(k) = -6*k**2 - 1. Let p be a(-1). Is p < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2542655 is divided by 1067.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1440 is divided by 474.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21140 - -46?\nAnswer: 21216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1774 = -426*v - 5874 + 832 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2*a)*(21 + 4 - 12)*(-a - 2*a + a) in the form v + i*a**2 + t*a and give i.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48854211587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39436, 156162, 350706, 623068, 973248, 1401246?\n\"Answer: 38909*t**2 - t + 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/3465*9*4\/(-16).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 less than or equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2024 - 2029. Let w = 2.98 + 0.02. Let b = w - 1. Sort d, b, -2 in decreasing order.\nAnswer: b, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 0*u**3 + 2*u**2 + 0*u + 0 + 1\/24*u**4. Let x(v) = 0 - 3*v + 0. Give x(k(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/3*r**2 + 100\/3*r**5 + 0 + 0*r + 32*r**3 + 60*r**4 = 0. What is r?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*v**2 - 2)*(-1 - 1 + 3) + (-4*v + v + 5*v)*(-2*v - 1 + 1) + 44*v**2 + 41*v**2 - 21 - 87*v**2.\nAnswer: -8*v**2 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53614, 53609, 53592, 53557, 53498, 53409, 53284?\nAnswer: 53117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212968453?\nAnswer: 373, 570961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 33*h.\nAnswer: -3*h*(h + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7094 <= 7169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 532 = -21*x + 11*p, 0 = -0*x + x + 2*p - 98 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = -4*l, 4*b - 10 = -5*l - 2. Suppose k = -0*k - b*g + 13, 0 = 2*g - 10. What is the remainder when k is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 50, 97, 174, 287, 442, 645, 902?\nAnswer: 1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.23119 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 2, -5.\nAnswer: -5, -4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 258884, 517868, 776850, 1035830, 1294808?\n\"Answer: -a**2 + 258987*a - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16275.2 - -16275.1599914. Let q = -4.6 - -4.56. Let z = g - q. Round z to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -114, -265, -478?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -53*y**7\/15 + y**5\/12 - 13*y**3\/6 - 716*y**2. What is the third derivative of b(u) wrt u?\nAnswer: -17808*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + b - 159 = -3*b, -16 = 4*b. Let h = 38 + r. Find the second derivative of h*j**2 + j**2 + 18*j - 9*j**4 - 4*j**2 wrt j.\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 19*l**4\/24 + 2*l**3\/3 - 138*l**2 + 2*l. Let v(j) = -15*j**2. Give v(u(f)).\nAnswer: -5415*f**2 - 2280*f - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/18 and -79\/87?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 4)*(2*g - g + 0*g) - 1 + 1 + 2*g + 1 - 2*g - 1 - 4*g + 2*g + 0*g - 224 - 4524*g + 224 + 3321*g - 6779*g in the form t + x*g and give x.\nAnswer: -7983","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -3. Which is the closest to -2\/3? (a) 0 (b) j (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.77 + 14.23. What is the third biggest value in -1\/10, 2, t?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 27 = -5*c, 13*c - 7*y = 10*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*n + 416 = 0, -2*q - 416 = -0*n - n. Let j = q - -244. What is the smallest common multiple of 40 and j?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3971277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = -2*n, -2*n = -0*n. Suppose 3*h = -4*a + 3, i*a + 4*h - 4 = a. Which is smaller: a or -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 53*d**2 - 25*d - 166. Let c(a) = -21*a**2 + 12*a + 82. Give -5*c(i) - 2*x(i).\nAnswer: -i**2 - 10*i - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**2\/3 - 625357*x\/3 + 625358\/3 = 0.\nAnswer: -625358, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 121036 + 537?\nAnswer: 121575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/10*6605\/36988.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16984, -33997, -51010, -68023, -85036?\n\"Answer: -17013*j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/5 + 4 + 190\/(-45). What is the nearest to 12 in -3, -0.4, d, -1.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -28. Let h be (-552)\/(-18) + i\/3. Let u(y) = 12*y**2. Let n be u(1). Calculate the highest common factor of n and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -10*a**3 + 111*a**2 - 258*a - 30. Calculate o(8).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5963614ml?\nAnswer: 0.0005963614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10896 = 21*b - 2922. Suppose 12*l - 290 = b. Suppose -3*n = -0*n - 60. What is the remainder when l is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*v - 34*v - 45*v - 5*v + 4*v - v + v - 3*v + 0*v + (-v + 5 - 5)*(5 + 2 - 5) - 3*v - 6 + 6 + 2*v - 5*v - v to the form n + w*v and give w.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -342306.3 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.106? (a) 1\/3 (b) -5 (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10270.46 + 18952.3. Let w = c + -8679.540068. Let q = w + -2.3. Round q to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 26 + 19 + -39 + -107?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2103013 - 10?\nAnswer: -2103023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 414455263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + f**2 - f - 4. Let l = 281 + -281. Let m be g(l). Which is the closest to 2\/3? (a) 0.5 (b) m (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 629 and 31114336.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4978*z**2 - 2810898*z**6 + 2805472*z**6 + 4605*z**2 wrt z?\nAnswer: -651120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 7. Suppose -3*h - 10 = -i*h + 4*f, -2*h + 17 = -5*f. Let l(g) = -6*g + 8. Let q(d) = 5*d - 7. What is h*l(w) + 7*q(w)?\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/((c\/(c\/(c\/((c**18\/c)\/c))*c))\/c)))\/((c*c*c**(-4\/9)*c*c)\/c)*c**(4\/5)*((c*c*c*c**(-11)*c*c*c)\/c*c)\/c assuming c is positive.\nAnswer: c**(-1069\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8468 and 130816.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-4)\/20*0. Suppose -6*u + 69 + 3 = l. Solve 7*x - 4*x = 3*f + u, -3*f = 3*x + 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326, 896, 1052, 146, -2470, -7444?\nAnswer: -15424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 15*z - 6. Let a(h) = -3853*h + 1926*h + 1 + 1926*h. What is -6*a(p) - c(p)?\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) -0.2 (c) 20814\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.35955187 to the nearest integer.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54469*g**2*x - 2*g**2 - 18*g - x + 35 wrt g.\nAnswer: 108938*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7 + (-7 - -9 - 14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65260, -65260, -65258, -65254, -65248, -65240, -65230?\n\"Answer: u**2 - 3*u - 65258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(-232 + 44*q - 43*q - 291 - 212) in the form z*q + k and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9079 is divided by 1511?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -80114942, -80114943, -80114944, -80114945, -80114946?\n\"Answer: -l - 80114941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -29.4, -0.8, 1?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6768915+0.5\nAnswer: 6768915.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 18 = u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkhkkkkh. What is prob of picking 3 k?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*z, 2*z - 10 = 49*v - 51*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21102200 - -2?\nAnswer: -21102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-5))\/(8\/120). Suppose 3*c - 31 = -5*g, 3*g + 0*g + 5*c = 9. Let o(q) = -q**3 + 7*q**2 + 6*q + 19. Let u be o(g). Sort r, u, 2 in ascending order.\nAnswer: r, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/3 - 26*q**3\/3 + 28*q**2\/3 + 176*q\/3 = 0. What is q?\nAnswer: -2, 0, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363717 is divided by 5683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 164*s**2 + 2*s + 147*s**2 + 36*s**2.\nAnswer: 347*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 less than or equal to 241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n = 40. Suppose 7*t - 276 = -9*t - 13*t + 17*t. Solve t*j - 28*j = n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 3:23 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*z + 5*f + 20, z + 20 = 5*f. Suppose 0 = 3*y - 3*r - 27, 8 = y - 2*r - z. Solve -3*i + x - 3 = -y*i, 2*x = -5*i + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 1\/9 (c) 3 (d) -99630\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 4, -8, 0 in decreasing order.\nAnswer: 31, 4, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 + -0.02. Let h = 33 + -32.7. Put k, 0.4, h in descending order.\nAnswer: 0.4, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-6 + -7 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/904 and -8\/339.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 1 - 31. Let l be 912\/27 + 8\/36. Let f = -25 + l. What is the remainder when f is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 9994\/4655*7?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 3009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 - 46. Let y = -30.4 + g. Let z = -4.85 + -0.15. Which is the nearest to 0? (a) y (b) z (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, j: 2}. Give prob of picking 1 j and 1 b.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**4\/4 - 4*b**3 - b**2 - 3*b - 3793. Determine l(12).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 3127, 0.\nAnswer: -5, 0, 3, 3127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f = 0. Let s(y) = -y**3 + y**2 - y - 7. Determine s(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 6*i = -5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 335.5391ml in litres?\nAnswer: 0.3355391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*m**5 + 505*m**4 + 2*m**3 + m**2 - 3819*m - 8 wrt m?\nAnswer: 3360*m**2 + 12120*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v. Let t(q) = 299*q**2 - 1. Give r(t(u)).\nAnswer: 897*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 71\/5 of a decade?\nAnswer: 1704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*t + 2*y + 3*y, y = -5. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.13 - -1.13. Which is the fourth biggest value? (a) y (b) 0.2 (c) 2\/11 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(76) + sqrt(76))*4 + (sqrt(76) + sqrt(76)*3 + sqrt(76))*1)\/(((sqrt(384)*1)\/sqrt(12))\/((sqrt(8) - sqrt(1152)*-2) + sqrt(8))).\nAnswer: 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-350)*7)\/(18\/9)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1392\/35 + 196\/5. Put -3\/7, 1\/4, z in descending order.\nAnswer: 1\/4, -3\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 15*g**2 + 11*g - 32. Let z be i(4). Let x = 736 - z. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*j**3 - 46*j**3 + 24*j**3 + 729*j**2 in the form a*j + c*j**2 + l + x*j**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9477 and 648.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 708 - 1195. Let z = r + 490. What is the remainder when 9 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5040301 (base 7) in base 9?\nAnswer: 1111261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 13*g**2 + 116*g - 1. What is q(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -1. Let x(t) = -t**3 + 16*t**2 - 20*t + 76. Let l be x(15). Put 4, p, l in decreasing order.\nAnswer: 4, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -150 (b) 1 (c) -7 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 3 = -9*h. Let y be 1*((-27)\/(-12)*(-16)\/(-3) - -7). Suppose 1 = 2*r - 3. Solve -f - 4*f = r*b - y, 3*b - h = f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*h + 18 = 0, -2*h = -5*d + 2*h - 42. Let z be (-1 + d\/(-3))\/1. Solve -x - z = 0, -x - 17 = 4*o - 0*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 19*c**5\/5 + 2*c**3\/3 - 23. What is the third derivative of k(s) wrt s?\nAnswer: 456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7318\/121737 + -32\/561. Which is the third biggest value? (a) 1 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s + 12. Let h be r(5). Suppose 0 = h*o - 33*o + 48186. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.927 - -0.073. Let z = 2 + -2. Which is the nearest to z? (a) 3 (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 49\/2)\/((-279)\/(-372)). Let o = -30 + n. Solve -3*x + o*h = h - 3, 2*x - 5*h = -15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-245))\/(12272\/16520)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4*x*x)**(3\/19)*x**(-1\/3)\/x**(1\/2))**49 assuming x is positive.\nAnswer: x**(637\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63600 and 40654710?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4603567 (base 9) to base 4.\nAnswer: 21132020113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-18))\/((-2)\/(-438)). Suppose 2*d - 137 = o. List the prime factors of d.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11414\/15 or 761?\nAnswer: 11414\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxooonxnxxnqxonx. Give prob of picking 3 o.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-24) + 2\/(-4). Let h = 349 - 352. Let w = 1.99 + 0.01. What is the closest to p in h, 1\/4, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 986.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 18.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2 - 732*f = 0?\nAnswer: 0, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 1 + 6\/(-2). Let o(h) = -3 + 2*h + 3 - 2*h**2 + 3*h**2 - 4. Let i be o(-4). Sort n, 1, i in descending order.\nAnswer: i, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -15. Let b(w) = 5857*w - 1. Let o be b(g). What is o rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-71 - 53 + 81)*(-1 + 1 - 4) - 1 - 2 + 2)*(0 + 0 + 1)*(0*j**5 + 2*j**5 - 4*j**5).\nAnswer: -342*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 3*f. Let l be k(-3). Put 8, l, -2, 4 in decreasing order.\nAnswer: 8, 4, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 9 + (-4 - (-10)\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/5 + (-17)\/(-5). Let l(n) = 4*n**3 - 2*n**2 + 7*n - 1. Let x(s) = -7*s**3 + 5*s**2 - 14*s + 3. Let t(y) = -5*l(y) - 3*x(y). Give t(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2206 - 445 = 0. Let c be (v\/1826 - 3\/2)\/2. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 6*p + 6. Let w be n(-4). Let z = -30 + 89\/3. Sort -2\/11, w, z in descending order.\nAnswer: -2\/11, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -29 and 20289929429.\nAnswer: 20289929400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 882 = -3*t + 6*t, -4*n - 4 = 0. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/27 + 2 + (-428)\/18. Let u be (-16 + 15)*(5 + 0). Let t(h) = 2*h + 9. Let p be t(u). Sort p, s, -2 in increasing order.\nAnswer: s, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 103.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g + 143 + 27. Let d = g - -80. What is the greatest common factor of 14 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2940 + -114653\/39. Calculate the common denominator of 2\/351 and l.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**3 + r**2 - 2*r + 1. Let b be v(1). Let j be (-1)\/(-1*(b - 3)). Solve 0 = -4*p + 3 + j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*1*4 - sqrt(190)*2*-6)\/(sqrt(160)*1 + 3*sqrt(40)).\nAnswer: 8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*x + 152 - 36 - 62 - 54.\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 7.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 699*o**3 + 2*o**2 - 51*o - 3. Let r(h) = -323*h**3 - h**2 + 25*h + 1. What is 6*p(d) + 13*r(d)?\nAnswer: -5*d**3 - d**2 + 19*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.4 + 1.5. Let w = 7 - i. Let j = 0.099984 - w. Round j to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/20)\/(16\/64).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**(5\/6)*d*d\/(d\/d**(2\/13))*d*d**(-4)*d*(d*d**2)\/d assuming d is positive.\nAnswer: d**(181\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/12 + v**3\/3 + 7*v. Let u be a(-5). Suppose p + 5*f - u = -2*p, -5*p = -f + 3. Solve -4*k + 5*k + 1 = p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 7.5. Let i = 0.6 - d. Which is the nearest to i? (a) 4\/5 (b) -0.4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (120\/112 - (-3)\/7)*-4. Let c(k) = -31*k + 10. Let g be c(l). Let p(r) = -g + 196 + 17*r**2. Let y(m) = -m**2. Give p(y(d)).\nAnswer: 17*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a gram in milligrams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -236976*v + 881710 wrt v?\nAnswer: -236976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 57, 42, 27, 12, -3, -18?\n\"Answer: -15*a + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/100468 and 3\/44.\nAnswer: 1105148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3338 is divided by 555?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/8 and 6\/417971.\nAnswer: 3343768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -12*j + 5361 - 5172 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80554139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 11 and -2494.\nAnswer: -2483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9885*o**5 + 10*o**3 + 362417*o**2 - 2*o wrt o?\nAnswer: -593100*o**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-12)\/o)\/o)\/(o**12\/o)*((o**12\/o)\/o*o*o)\/o*o\/(o\/(o*o*o\/o**(-7)))*o assuming o is positive.\nAnswer: o**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 divided by 4?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50.9 - -51.4. What is the nearest to 0 in w, -4, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41596 + -1?\nAnswer: 41595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -413?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*q - 0*h + 88, 5*h = 4*q - 88. Let a(c) = c**3 - 4*c**2 - 2*c - 7. What is the remainder when q is divided by a(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4. Is k*(49 - -2 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 14. Let q = 26891 + -26889. What is i(q)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0032 + -0.0268. What is the nearest to h in 0.1, 5, -1, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/4*1 + (-120)\/(-96). Solve -4*i - 4*f + 8 = -g*i, -5*f = 4*i - 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -22750*g**3 + 2*g**2 + 26*g + 25. Is v(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvml when four letters picked without replacement from lnmvn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67617, 135261, 202905, 270549, 338193, 405837?\nAnswer: 473481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273545306 to the nearest integer?\nAnswer: 16539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (8 + 9 + -8)) + 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 255*j**3 - 523*j**3 + 6*j + 284*j**3 - 6*j**2. Let s(b) = -209*b**3 + 77*b**2 - 77*b. Calculate 77*m(d) + 6*s(d).\nAnswer: -22*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1163016999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 61*i**2 + 3271*i + 36720.\nAnswer: (i + 16)*(61*i + 2295)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2240.3 + -2261. What is the nearest to 2\/5 in 0.3, d, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/214157 and 65\/64053?\nAnswer: 21201543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103714 < 1103710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1681, 7273, 16537, 29431, 45913, 65941, 89473, 116467?\nAnswer: 146881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 18 = -4*c, 4*c + 6 + 16 = -5*j. List the prime factors of c - ((-160 - -4) + -2).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + o + 7. Suppose x + 20 = -4*h, 0 = 5*x - 3*h + 8 - 23. Calculate p(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13418*j**3*r**2 + 2*j**3 + 86*j**2*r**2 - 11*j**2*r - 2*j - 94*r - 16 wrt r?\nAnswer: 26836*j**3 + 172*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2. Let x(i) = i - 19381. Calculate w(x(o)).\nAnswer: 3*o**2 - 116286*o + 1126869483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*b - 20 = 139*b. Solve -8*c = -b*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(144) + 4*(sqrt(144)*-2 - sqrt(144)))*4)\/(sqrt(72)\/(sqrt(9) - sqrt(81)) - sqrt(32)\/sqrt(4)*-2))**2.\nAnswer: 15484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7257\/(-2))\/((-141)\/94). What is the highest common factor of g and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6*o + 0)*(3*o - 4*o - 3*o) - 83*o**2 - 16*o**2 - 92*o**2.\nAnswer: -167*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 10 + 33 = -3*r - 30, a = -r + 15 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -89*h**2 - 344 - 2*h**2 + 264 wrt h?\nAnswer: -182*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let s = -160.481 - -160. Let k = 0.081 + s. What is the nearest to k in 0.1, r, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55.16 + -234.82. What is h rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -159 - -462. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 99258 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*x - 1567 = 253*x + 1709 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 533362584 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 1, -7 in decreasing order.\nAnswer: 1, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 18 = 2*u - 3*j, 2*j = -3*u - 32. What is the units digit of (-116)\/u + 16\/(-56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107669389 at least -107669389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291979.863 nanoseconds to weeks.\nAnswer: 0.0000000004827709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109349\/2534 at least as big as 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 1. Let b(z) = 12*z**2 + 3*z - 12. Calculate b(j) - 9*l(j).\nAnswer: 3*j**2 + 3*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from riirizrrirrryirryzrr. What is prob of picking 1 r, 1 y, 1 i, and 1 z?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-1 - 3)) + (-713)\/62?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 32. Let a(v) = -3 + 9*v + 3 + x. Let t(y) be the first derivative of 4*y**2 + 3*y - 56. Determine 6*a(w) - 7*t(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/601340310 and -7\/12659796.\nAnswer: 1202680620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 16 = -2*u, -4*u + 0*i = 3*i - 17. Suppose 3*o - 8 - 1 = 3*f, 0 = -5*o - u*f + 29. Solve -4*y + 2*r = 6, o*y - r - 4*r = -10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7))**(-46)\/(g**(-14\/3)*g**(2\/63)*g) assuming g is positive.\nAnswer: g**(20515\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + o + o)*(77*o + 80 - 80)*(0 - 2 + 4) in the form s + x*o + p*o**2 and give p.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.9 - -19. Let y = -12.4 + 10. Let u = r - y. What is the nearest to 1\/3 in 1\/5, 6, u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*b**3 + 39 - 5*b - 40 + 2*b - 490*b**3 + b as m*b**3 + g*b + p*b**2 + k and give m.\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72 - -132. Suppose -g + o = 3*g - 125, -2*g = 2*o - z. What is the remainder when 152 is divided by g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111945 and 238816.\nAnswer: 3582240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-13)\/6)\/13 + 25\/6. What is the fourth biggest value in 2\/11, 4\/5, 5, y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**9\/98280 - g**8\/43680 + g**4\/8 + 2*g**2. Let j(i) be the second derivative of t(i). Suppose j(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*y - 50 - 2*y**2 + 87*y + 92*y - 273*y - 3 to m + h*y + x*y**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132802 divided by -13.\nAnswer: 132802\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -717, -1248, -2109, -3306, -4845, -6732, -8973, -11574?\n\"Answer: -g**3 - 159*g**2 - 47*g - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 51*r + 363. Calculate the remainder when j(-6) is divided by 44.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13030020100 (base 4) in base 3?\nAnswer: -10112202022021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -12.7. Let g = 79 - 84. What is the nearest to 1 in g, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 367753 - 442774529\/1204. What is the common denominator of d and -95\/6622?\nAnswer: 13244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 11:01 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-11 - 1)\/3. Suppose 4*d = 0, k*g + 4*d = 2*d - 72. Is ((-573)\/(-2))\/(g\/(-16)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*s**3 + 3*s**2 - 32*s**3 + 14*s**3 + (2*s**2 + s - s)*(-2*s + 0*s + 0*s) as g*s + q + w*s**2 + p*s**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -53*f + 97 + 52, 3*k + 0*k + 12 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7697.543 years to months.\nAnswer: 92370.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 219461002?\nAnswer: -1\/219461002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3220 is divided by 1090.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11038860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 7 = s, -4*s = -5*a + 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(11) + 0)*3)**2*-2.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 6*o - 2*o)*(0 + 1 - 6) + o + 3*o - 5*o + 3*o + 2*o - 3*o + (o + 0*o + 0*o)*(-1 - 4 + 4) - 2 + 2 - 2*o as d + n*o and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -19 + 28. Let b be 8*p\/6*1 - 3. Are 3 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60236974 to the nearest integer?\nAnswer: 7761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -215315*h**3 + h**2 + 715 wrt h.\nAnswer: -645945*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44298826 is divided by 29454?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**2 + a**2 - a**2)*(-2*a**2 - 8*a**2 + 8*a**2) + 2*a**4 - 7*a**4 + 4*a**4 in the form b*a**4 + x*a**2 + k*a**3 + w*a + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 + 8*o + 46. List the prime factors of c(-7).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.35 + 0.05. Let r = 1.7 + -1.7. What is the nearest to 1 in 0.2, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 6, -2*n = -4*r + 15 - 1. Let y be (n - 0) + 0 + 9. Put y, -1, 1 in ascending order.\nAnswer: -1, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -5, 5, 6 in descending order.\nAnswer: 6, 5, 2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 8*p - 2. Let o = 10 + -2. Let q be m(o). Calculate the common denominator of -29\/2 and q\/(-4) + (2 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 4:17 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 10*s**2 + 6*s - 2. Give o(8).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 24*h + 20. Determine q(18).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.401 - 0.101. Which is the third biggest value? (a) u (b) 5 (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from rskrrksszh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/960 - (-198)\/(-40)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5*p - 5, -6*f - 3*p = -2*f + 2. Let m = f - 7. Are -4 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -13*l**2 + 7*l - 14. Let d(r) = r**3 - 11*r**2 + 6*r - 12. Let h(n) = 7*d(n) - 6*s(n). Let z(a) = -4*a**3 - a**2. Calculate 3*h(g) + 5*z(g).\nAnswer: g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -8*u - 34 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1044a192 + -4?\nAnswer: -1044a196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -131*r**4\/12 + 7*r**2 + 131*r. Differentiate p(a) with respect to a.\nAnswer: -262*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12038 and 94?\nAnswer: 565786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2*u = 2*d - 27, 0 = -d + 3*u + 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 828*i - 829*i = 5*o + 8, 3*o = -4*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -2 + 7 + -1 - -11 - -15?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**6 - 149*z**4 + 282*z**2?\nAnswer: -240*z**3 - 3576*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 - 2*b**2 - 3*b + 3. Let j be a(2). Suppose 4*d = 10 + 54. Suppose 0 = j*c - 3*c - d. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/4, -4, -92, -2\/31 in increasing order.\nAnswer: -92, -4, -2\/31, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3223 - -792.\nAnswer: -2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 828 by 6.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/21 - 14964\/(-28). Calculate the remainder when (g\/30 - 8)\/(2\/10) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(700) + -1)**2 - sqrt(700))*1.\nAnswer: -30*sqrt(7) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6992 divided by 184.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 4. Let d = 0.99999944 - u. What is d rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 10*v**4 + 4448*v**3 - 458420*v**2 - 370464*v + 92394 = 0?\nAnswer: -531, -1, 1\/5, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {u: 1, x: 1, r: 10, f: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1140 - -3422\/3. Which is the closest to 0? (a) 0.4 (b) -10 (c) 0.3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**5 + 10*o**4 - 90*o**3 - 2*o - 7057 wrt o.\nAnswer: 60*o**3 + 120*o**2 - 540*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003756931343 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 13. Suppose -100 = -5*z - 0*z. Let b = z + q. What is the remainder when 16 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/25*(-55)\/(-528). Let l(m) be the third derivative of -a*m**5 + 0 + 11\/24*m**4 + 8*m**2 + 0*m**3 + 0*m. What is the second derivative of l(o) wrt o?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**5 - 300*u**3 + 850*u**2 - 825*u + 270 = 0. What is u?\nAnswer: -9, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7595, 7507, 7345, 7097, 6751?\n\"Answer: -2*u**3 - 25*u**2 + u + 7621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -2*j - 1\/6*j**3 + 0 - j**2. Let o be w(-4). Which is bigger: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*k**3*w**4 + k**3*w**2 + k**3 - 4*k**2 + 3438*k*w**4 + 1583*w**2 + 155*w wrt w?\nAnswer: -288*k**3*w + 82512*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -76*f**2 + 2*f - 1. Let k be u(1). Let m = k + 139. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 11:05 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*w + 5*i, 16 = -28*w + 33*w - 4*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19492 by -102.\nAnswer: 9746\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 3*p**2 + 4*p - 5. Suppose -1 = a + 3. Let v be w(a). Is (1 - 11)\/(1\/v) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000457 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 10995456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14241, 14240, 14243, 14250, 14261, 14276?\nAnswer: 14295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + i + 4*i = 6, 5*l + i - 431 = -421 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -190, -329, -568, -913, -1370, -1945, -2644?\n\"Answer: -n**3 - 44*n**2 - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 15*x + 51 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 353*m - 8002. Let o be a(0). Which is bigger: -8004 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*o + 2*o. Let u = o - -1. Suppose -j + 5 = u. Solve -4*q - 4*n = 4, -3*q + j*n - 5*n = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4379123*l - 4379177*l - 2538 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -259544 by 57.\nAnswer: -259544\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + b - 7 = -d, 5*d + b - 19 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/28)\/((-375)\/(-3500)). Let i be (-1)\/(-5) - 3\/15. Factor i*m + 0 + 6\/5*m**2 + 4\/5*m**3 - 2\/5*m**o.\nAnswer: -2*m**2*(m - 3)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdbqdkqdbdqkbbwd. Give prob of sequence dkbq.\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -52 in -2\/53, -0.2, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 812.6322m?\nAnswer: 812632200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/65 and 1\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -81 (b) 3\/5 (c) -2\/3803\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*c + 192*c - 2934 = 0. What are the prime factors of c?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 76064*z**3 + 4*z**2 - 27*z + 41. Let v be r(7). What is v rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 11 = -6*x. Let g(m) = m**3 + 5*m**2 + 5*m + 3. Determine g(x).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 125 = -5. What is the remainder when a is divided by (154\/(-11))\/(2\/(-2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**4\/24 - 13*f**3\/6 - 505*f**2. Determine r(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*w**4 - 10\/7*w**2 - 16\/7*w**3 - 2\/7*w + 0.\nAnswer: -2*w*(w + 1)*(2*w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*v - 39166 + 15774 = 0. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 787*n*v**2*z + 3*n*v*z**2 + 2*v**2*z**2 - 3*v*z**2 - 32*v*z wrt v.\nAnswer: 1574*n*z + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 7*x**2 - x + 9. Let l be f(7). Let c be 2\/(-4)*(0 - l). Let m(w) = -4 - 4*w**2 + 4*w - 2*w**3 + w**3 - c. Calculate m(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -86740530 to the nearest 1000000.\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 11:31 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcttccc. Give prob of picking 1 t and 2 c.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.03774 months in years?\nAnswer: 20.503145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.11 + 1.4. Let o = 0.01 + x. Is -1\/2 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262067618*f**2 + 91576*f - 8 = 0. What is f?\nAnswer: 2\/11447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 114669839353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8910 - 54?\nAnswer: 8856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 6:49 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 131 = -99. Let v(t) = -8*t - 33. Let l(u) = 12*u + 50. Determine o*v(c) + 5*l(c).\nAnswer: -4*c - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - h + 108 = 0. Suppose -7*o + 4*s = -h*o, 0 = o - 4*s. Suppose k - 3*i = -3 + 23, -2*i = -k + 15. Solve 3*w + 2*w + k = o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*344*(-2)\/(-3). Suppose 5*d - f + 128 = 0. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 2:10 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -46, -97, -168, -265?\n\"Answer: -d**3 - d**2 - 27*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) - (-14)\/4. Suppose -j*g = 1 - 262. Is 29 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3370049 and 32055.\nAnswer: 50550735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2884*g + 618. Let r(v) = 5*v - 1. Calculate 1236*r(i) + 2*x(i).\nAnswer: 412*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53 - 64)\/(((6 - -13)\/95)\/((-33)\/15)).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113144803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 - 638*s + 13772. Determine w(23).\nAnswer: 1214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 689345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2116930 is divided by 641.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1811, -5156, -10725, -18512, -28511, -40716?\nAnswer: -55121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1350 - 1614353?\nAnswer: -1616033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503 = -115*x - 417 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 8.665?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, 0.3, -1, 2, 336?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.12171786 to three decimal places.\nAnswer: -1.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-31)\/(-2) - (1\/(-2) - -1). Suppose 8 = -0*c + 2*c. Suppose 0 = -3*u - 3*m + c - 1, -u + 4*m + 11 = 0. Solve o = -3*a + 12, u*a = -0*o - 2*o + h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/2244 and 59\/36?\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m - 4. Factor -22*c**2 - 2*c**2 + 6*c + 3*c**m.\nAnswer: -3*c*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 1:36 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3430 divided by -5.\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22325\/(-13395)*((2\/1)\/20)\/3?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 6 = 15*g. Let b be (-1)\/(-4) - (-14)\/(-88). What is the nearest to -2\/5 in b, g, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -743, 2, 0.5, -0.2, -18\/13, 5, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 409d7 (base 15) to base 2.\nAnswer: 110001111110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95312*w**5 - 3*w - 9139 wrt w.\nAnswer: -1906240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159 (base 14) to base 4.\nAnswer: 10103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.859 times 13?\nAnswer: -11.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 85, 172, 291?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -175\/6*q**3 - 2523\/2*q + 2581\/2*q**2 + 1\/6*q**4 + 0.\nAnswer: q*(q - 87)**2*(q - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 61944?\nAnswer: 61944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 9:07 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.9 + 19. Let f = -2 - -6. Let q be (-4)\/(-30)*-3 - 4\/(-10). Which is the nearest to y? (a) -1 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371460 is divided by 1190?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z**2 - 69303*z**3 - 13*z**2 - 14624*z**3.\nAnswer: -83927*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/40*(-240)\/940)\/(-1*(-2)\/2)?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -6 - (-18 - (-7 + 0 + -1)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q - 6*q**5 + 7*q - 3*q**5 + 4*q**5 + q**5 + (-5*q**2 + 5*q**2 + q**4)*(0*q + 4*q - 5*q) - 2*q + 4*q**5 - 5*q**3 - 582 + 582.\nAnswer: -q**5 - 5*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2145039356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*d - 43. Let h(s) = 2*s**3 + 9*s**2 + 9*s - 9. Let x(q) = -q**3 - 4*q**2 - 4*q + 4. What is d*h(i) + 9*x(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194*i**4 + 5 - i**2 - 2*i**3 + i**3 + i - 4 - 284*i**4 - 3 to the form g*i + z*i**2 + u*i**4 + q*i**3 + v and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 7*n**2 + 6*n - 11. Let b be l(-8). Let z(v) = v**2 - 4*v. Let s be z(b). Let u be 32\/10 - 1\/s. Solve -u*k - 4 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4366*g + 239*g + 105349 + 26928 = 3654*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.6 (b) -2.6 (c) 0.5258 (d) -0.4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1357\/60 - 106\/5. Calculate the common denominator of 3 - 0 - 316\/24 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 4472, -0.1.\nAnswer: -0.1, 0, 3, 4472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 3:31 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -51*k + 50. Let o be -4 + 0 - (16 - 4)\/12. What is the remainder when f(o) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f. Suppose f = v - 3 - 2. Let p(d) = d**2 - 3*d - 4. Let z be p(v). Solve w + z = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/3 + 24\/36. Let t = 7.5 + -10.5. Sort t, c, 4\/7 in ascending order.\nAnswer: t, c, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -40. Solve 0 = 2*l + o*w, -3*l - 2*l = -w + 27 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (12\/(-5))\/(8\/(-20)) and (-3)\/(-4) - 244\/(-16).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18188 + -18052. Calculate the highest common factor of h and 1156.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1887 and -65\/162.\nAnswer: 101898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571 - 1321 - 265 = -35*h for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 9*j**2 + 5*j + 28*j + 75*j + 9*j**2 - 20*j**2 = 0.\nAnswer: 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 372 and 1736?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 97*o + 14. What is the hundreds digit of i(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - d + 27 = 0, h - 4*h - 11 = 2*d. Suppose 0 = 4*o - 3*o - 3*o. What is the closest to o in h, -3\/7, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -44. Let x = -0.184 - -0.111. Let z = -0.227 + x. Put z, c, 1\/3 in descending order.\nAnswer: 1\/3, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3625555.\nAnswer: 5, 725111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, b: 8}. Give prob of sequence xb.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-1 - -6 - 2) - -30. Let g = q + -9. Let x(r) = 4*r + 17. What is the remainder when x(g) is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12431 is divided by 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 5*j - 4, -3*j - 823 = 3*v - 838 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 422, 1287, 2742, 4829, 7590, 11067, 15302?\n\"Answer: 7*o**3 + 253*o**2 + 57*o + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5) + -11 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 a factor of 2096891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/((-2)\/((-1078)\/1050 + 1)).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -2. Let f be (-5 - x)*(-8)\/6. Find the third derivative of -6*m**2 + f*m**2 + 2*m**6 - 8*m**6 wrt m.\nAnswer: -720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*p + 69 = 0, -2*s - 4*p = -6*p - 66. Solve 5*t = 8 - s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 94428*b - 1322031. Give t(14).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - n + 805 + 8329, -3*n + 36532 = 4*m. What are the prime factors of m?\nAnswer: 2, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 755 = 5*m + 730, -5*c = -31*m - 1 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14539.0005us in days?\nAnswer: 0.00000016827546875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31145 - 124571\/4. Let c*v + 1\/4*v**2 - 5\/2 = 0. What is v?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -582 + 581.6. Which is the third smallest value? (a) r (b) -5 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1724733, -3449432, -5174081, -6898680, -8623229?\nAnswer: -10347728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10158356*p*x**5 + 16*p*x**3 + 310852132*p*x wrt x?\nAnswer: -203167120*p*x**3 + 96*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coiouvvuvvo. What is prob of picking 1 u, 1 o, and 1 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*b*n**3 - 1212*b*n + 5*b - 7114 wrt n?\nAnswer: -69*b*n**2 - 1212*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6308020?\nAnswer: 2, 5, 17, 18553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -39. Let z be 5 - (12\/(-3) + q). Suppose w - 21 + z = 0. Calculate the greatest common factor of 252 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = 17254*r - 17269*r. Solve -16*d - 4*k - 30 = -r*d, 5 = -k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 166067385?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 102 - (0 + (-8)\/4). Let l(h) = 2*h**3 - h**2 + 1. Let r be l(2). Calculate the highest common divisor of u and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2*n + 1. Suppose -2*c - 4*h + 18 = 0, 2*c - 2*h - 7 = -n. What is the second derivative of -f**3 + f**3 + 2*f**5 + f**c + f wrt f?\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in -1\/21, -1\/5, 2685.3?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - -1 - (0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35630498053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**8\/4704 - 2*j**7\/2205 - j**6\/630 + j**4\/8 - 3*j**2. Let c(g) be the second derivative of y(g). Factor c(q).\nAnswer: 2*q*(q - 2)*(5*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + (3*(sqrt(48)*-2 - sqrt(48)) - sqrt(48)) - sqrt(48))\/sqrt(200))\/((-2*sqrt(72)*5)\/(sqrt(24)\/sqrt(4)*4)).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*a**5 - 3*a**3 - 39*a**2 wrt a.\nAnswer: -3120*a**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = 22*p - 264. What is the least common multiple of 9 and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h. Let w(o) = 2*o - 8. Let t be w(6). Let i(n) = n + 2 + 2 - t. Calculate i(u(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z**3 + 4*z**2 + 18*z + 27. Let q be p(-2). Calculate the highest common factor of 316 and q.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, y: 3, j: 2, b: 4}. Give prob of picking 2 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-594)*(-36)\/(-24) + -2 + (-479)\/(-264)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhhhhhfhhhmfvfh. Give prob of picking 2 h.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -108*b + 2. Let p(m) = -108*m + 1. Let u(n) = 3*p(n) - 4*t(n). Let i(z) = z**3 + 15*z**2 + 2*z + 33. Let a be i(-15). Is u(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 9 = -4*q + q, 2*s = 3*q - 16. Suppose l + 5 = 3*k, -q*k = 5*l - 6*l - 2. Suppose l*h - 295 = 89. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**4\/4 + 7*p**3\/3 - 3*p**2 + 54. Calculate y(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-12\/7)\/g*g*g)\/g**(-2\/87))**0 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9*20\/(-180)*(-34)\/(-2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = m + 3*y, -22*y + 63 = -y for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 + -6 + 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*x - 385 = -155 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m + 30. Calculate b(6).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21900063 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7000)\/39375*(-15)\/(-6)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 - 49*k - 9. Let m(x) = x**2 + 12*x + 2. What is 9*m(p) + 2*y(p)?\nAnswer: 3*p**2 + 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = m - 2*m + 11, -3*y = -4*m + 44. Suppose 4*j - 9 = -j + r, -5*j - m = 4*r. Suppose -10 + j = -3*q. Solve -5*u = -2 - q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from vlvidl?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjdd when four letters picked without replacement from jjdjjjjdjj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 13*a**2 + 28*a**2 - 23*a**2 + 19*a + 10*a**2 in the form q*a**2 + i + g*a and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/5)\/(5\/(-575)). Let l = w + 76. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + d + 1. Let r be b(0). Let j = 0.39 - 0.27. Let y = -0.18 - j. What is the second smallest value in r, 2\/3, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(15\/(-9)) - (-8)\/(-3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28592615*z**5 + 2*z**4 + 14*z**2 + 1402*z - 1 wrt z.\nAnswer: 1715556900*z**2 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkhykkhkdyykkhhk. What is prob of sequence hyy?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from {d: 2, j: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1483948?\nAnswer: 2, 349, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -697 - 3*g**3 + 697.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 24*h - 117. Does 30 divide (-37376)\/(-416) + 2\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28978669?\nAnswer: 311, 93179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*d - 99 = 28*d - 63*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1514 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5788\/15 + -386. Suppose -g + 932 = -0*g - 2*j, -4*g = -5*j - 3716. Let h be 5 + (g\/392)\/(2\/(-4)). Are h and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 divided by 20?\nAnswer: 73\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -714?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, m: 1, k: 2, z: 4, g: 8}. Give prob of picking 1 y and 1 m.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cokoodcodr. Give prob of picking 1 k and 1 c.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2\/29 (c) -3 (d) -1\/3 (e) 3 (f) -19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2\/9 + 816368*b\/9 - 83307088928\/9 = 0.\nAnswer: 204092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29110942*w**4 - 50526196*w.\nAnswer: 349331304*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 749663 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x**0*x*x*x*x*x)\/x)\/x))**22\/(x\/x**(-1\/3))**5)\/((x**(-4)\/x**(4\/3))\/(x**(-2\/15)\/x**(2\/9))) assuming x is positive.\nAnswer: x**(-2056\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9087*j**2 - 18144*j**2 + 9033*j**2.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -45*j**3 + 7*j**2 - 236*j - 14. Let a(x) = -22*x**3 + 4*x**2 - 117*x - 8. Let s(n) = 7*a(n) - 4*m(n). Find the second derivative of s(g) wrt g.\nAnswer: 156*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*h - 100. Let d be 26\/h + 16\/(-40). Sort 1\/3, -2\/7, d.\nAnswer: -2\/7, d, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llilijrjoij. Give prob of picking 1 o, 1 j, and 2 l.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvryg. What is prob of sequence vgyy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 3*n - 22, 6*j - 3*n + 12 = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -13, -17, -19, -19?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20868\/1504 - (-476)\/(-34).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, q: 1, x: 2, d: 1}. Give prob of sequence xq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2161 divided by -2\nAnswer: -2161\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 1291 - 295 = 0. Suppose -k = 4*k - 3*j - 205, 2*j + v = 4*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((99\/5)\/(-11))\/(15\/(-50)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 29*l**2 + 48*l - 35. Give w(13).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, h: 5, j: 2, x: 2, c: 3}. Give prob of sequence mxj.\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10348, 20694, 31032, 41362, 51684, 61998, 72304?\n\"Answer: -4*l**2 + 10358*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 19*g - 16*g. What are the prime factors of ((-1)\/(10\/g))\/(6\/735)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6489?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115*q**2 - 59*q**2 - 1018*q**2 + (-q - 5 + 5)*(3*q - 2*q + q))*(0*q - 2*q + 10*q).\nAnswer: -9552*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2628827958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23258 + -23238. What is the fourth smallest value in -1, 0.3, s, 0, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 23*g**2 - 148*g - 83. Determine v(-28).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/15, -0.09, 2\/9, -0.1.\nAnswer: -0.3, -0.1, -0.09, 2\/15, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 3*c + 4. Let x(k) be the second derivative of -k**3\/6 + k**2\/2 - 15*k. Give u(h) - 3*x(h).\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1\/i)\/i*i)**24*(i**0)**(3\/22) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 2*c = 2, -4 = 3*p + 7*c - 4 - 2 + 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 280 = 2*l + 21, 4*f + l - 405 = 0. Calculate the remainder when f is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3784\/24*(22 + -7). Calculate the highest common divisor of h and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 2*p + 3. Let l(m) be the third derivative of m**6\/120 - m**4\/8 + 5*m**3\/6 + 2*m**2. What is 3*l(w) - 5*o(w)?\nAnswer: -2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/8 and 7\/233?\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6362?\nAnswer: 2, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 7.52?\nAnswer: -8.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1187\/224 or -822?\nAnswer: -822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 162.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 30.2. Let r = f - -2. Which is the second smallest value? (a) r (b) -0.08 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.07, 215, 1, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s + 2 = 0. Let z(m) = 0*m + m - 22 + 21 + 3*m**2 - 12*m**3. Let y be z(s). Calculate the highest common divisor of y and 130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**6 + 18*j**3 + 1000*j**2 + 2.\nAnswer: 120*j**3 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 2. Let o be j(-3). Let d(p) be the first derivative of -p**2\/2 - 1. Let k(q) = 2*q**2 - 3*q. Suppose -157*w + 154*w = 9. Give o*k(z) + w*d(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxcxkxxxjjkxjkkjkx. Give prob of picking 1 j, 1 c, and 1 x.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.7786536 micrograms?\nAnswer: 0.0007786536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-10)\/((-2080)\/8))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8438931551\/560 - -15069516. Let v = n - -69\/16. Calculate the common denominator of 19\/50 and v.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39138947971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 + 75*i - 336. Give t(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1864 = 5*b, q + 588 = -7*b + 12*b. Let d = -4290\/7 - q. What is the nearest to d in -0.4, 4\/5, -1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6528 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 take away -2731?\nAnswer: 2861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-7)*h)\/(h\/(h*h*(h\/h**1)\/h)))\/((h*h**(-2\/17))\/(h**(3\/4)*h)))**(-3\/40) assuming h is positive.\nAnswer: h**(-2013\/2720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1201)\/1201*7\/98.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 108*t - 652. Give i(2).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-46)\/6 - 8\/(-6) and 11\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + 5. Let o(p) = -m*p + 30*p - 14*p. Let g(z) be the first derivative of z**2\/2 + 2. Determine o(g(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*b + 78*b + 500 - 800 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -27*x**2 - 2*x + 3. Let l(m) = -13*m**2 - m + 1. What is -7*l(w) + 3*r(w)?\nAnswer: 10*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g**(-16)\/g)))\/((g**(1\/4)\/g*g)\/g))**(-45) assuming g is positive.\nAnswer: g**(2745\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*z - 13413 = -2877, r - 5246 = -4*z. Does 48 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*h**2 - 26*h**2 + 34*h**2)*(2091*h - 33*h**3 - 2091*h).\nAnswer: 891*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 7*p - 13. Let v be f(5). Let y(n) = -5*n**3 + 4*n**2 + 4*n + 9. Is 28 a factor of y(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + n - 76 = -n, 0 = 5*v - n - 81. Suppose 6*t = m + 4*t - v, 84 = 4*m - 4*t. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*o - 5*o = -8, 0 = 4*n + 5*o + 6. Let y be 138\/33 + n\/22. Suppose -3*a + 2 + 7 = 0. Solve 0*l + 8 = 3*l + k, a*k + y = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22912\/34224 + -2 + (-8)\/(-6). Let r = 36371\/2852 - a. Find the common denominator of r and 149\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - g. Let k = -61\/4 - -31\/2. What is the closest to -1 in g, -5, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 + 0*d + 0*d + (2*d - 2 + 2)*(6*d - 2*d - 2*d) + 2*d**2 - d**2 + d**2 - 5*d**2 + d**2 + 0*d**2 + 1 + 1 - 2*d**2 - 1.\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/14 + 26\/7. Suppose 230*m - 213*m = 85. Which is the fourth smallest value? (a) -5\/4 (b) 2 (c) m (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1425 and 86850.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u + 214 = -16*u - 10. Let p(n) be the second derivative of -n**5\/20 - n**4\/6 + n**3 + n**2 + 2*n. What is the smallest common multiple of 6 and p(u)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-8) + 3)*60\/(-1). Let h = t - -48. Let z be h + ((-2)\/9 - 348\/(-108)). What is the greatest common factor of z and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) - -4*sqrt(931) - sqrt(19)*3*6.\nAnswer: 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 27. Suppose 0 = 2*d - 4*u - w, -u + 2*u = -5*d + 114. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuue when four letters picked without replacement from ueuuueeueeuu?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -0.05. Let p = o - 0.05. What is the closest to 1\/3 in 1\/7, p, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 14*r**3 + 19*r**2 - 5*r + 631. Let g(x) = -34*x**3 - 46*x**2 + 12*x - 1578. Give 5*g(f) + 12*u(f).\nAnswer: -2*f**3 - 2*f**2 - 318","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 - -1.9. Let l = k + -4. Let t = -0.3 + l. Which is the third biggest value? (a) 1\/2 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*f + 9653 = -977*f - 940*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 16 = 5. Let o = s + 38. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99646 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 + q - 3. Let t be c(1). Let y(j) = j**2 + 8*j. Determine y(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 3*k**3 - 1402*k. Let r(i) = 13*i - 4. Determine m(r(p)).\nAnswer: 234*p - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1566 = -6*s + 2226. List the prime factors of s.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*l + 170 + 194 = 0, 3*f + 3*l = 273. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35339161 and -3.\nAnswer: 35339158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**3\/6 - m + 932. Let r(l) = 55*l**2. Give b(r(f)).\nAnswer: 55*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-105))\/((-2)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 1624.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4)*(-14 + 8). Let d be 0 - (p - 1 - 2). Solve -8 = -4*l - d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/123337 (b) 4 (c) 1 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -397\nAnswer: -3\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000367275336 rounded to 7 decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30231240 and 12480.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 27, 0.3, 1, 0.8, 1\/7, -19 in increasing order.\nAnswer: -19, 1\/7, 0.3, 2\/3, 0.8, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30613449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -87*y + 4. Let o(d) = 178*d - 8. Determine -2*o(k) - 5*p(k).\nAnswer: 79*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -10. Let x be 0\/(5\/(15\/n)). Suppose -g - 400 = -x*g. What is g rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 130, 263, 418, 607, 842?\n\"Answer: 2*a**3 - a**2 + 122*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b. Let x(d) = -190*d + 14442. Determine w(x(s)).\nAnswer: -380*s + 28884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19453108 by 3.\nAnswer: 19453108\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v**(-28)\/v))\/v))\/(v*v*v**(-2\/67)*v))**(-41) assuming v is positive.\nAnswer: v**(85075\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.33 + -94.43. Let g = 7.1 + b. Let a = -73.9969 - g. What is a rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1.2, 2745, -513?\nAnswer: -513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 594361167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/(-8)*2\/88*56 and -16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 3, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0035445 rounded to five dps?\nAnswer: -0.00354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 35. Suppose y - 1 + 3 = -p, -4*y - 10 = 5*p. Suppose -k + 4*l + y + 4 = 0, -4*k - 3*l + 35 = 0. Calculate the remainder when v is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 2*i. Let r be x(-3). Let w = r + 7. Let j(a) = 2*a**2 - 4*a + 1. Is 11 a factor of j(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66170.88 millennia to years.\nAnswer: 66170880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yec when three letters picked without replacement from eeyuc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-2) + 4)*1. Suppose 0 = 2*p - 6, -3*d + l*p = -0*p - 9. Suppose j = d*j - 140. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.4, 1\/27, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 79, 86, 93, 100, 107?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/20570 and -101\/10?\nAnswer: 20570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 8*p**2 + 7*p - 13. What is c(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -891.39 - -882. Round u to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 217*n**2 - 1 + 10*n - 2*n**3 + 12*n - 5*n - 215*n**2 + 3 to the form b*n + q + h*n**3 + d*n**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 830 = -870. Solve i - 11 = -3*c, 11 + 9 = -d*i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*c**2*f**5 - 9*c**2*f - 50*c*f**5 + c*f - c wrt f?\nAnswer: 140*c**2*f**3 - 1000*c*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfgfhjvlv. What is prob of sequence hv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(-2*(sqrt(2448) + 0 + -3) - (4*((-1*sqrt(85) - sqrt(85)) + sqrt(85)) + sqrt(85))\/(sqrt(10)\/sqrt(2)*4)).\nAnswer: -26 + 465*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 2*b. Let j(c) = -c**2 + 1. Let y(m) = -2*j(m) - p(m). Let l(r) be the first derivative of y(r). What is the tens digit of l(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263 divided by -2.\nAnswer: 263\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 8:18 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 17, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, h: 5, d: 2}. What is prob of sequence odoh?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/j*j**1)\/(j**1)**(1\/50) assuming j is positive.\nAnswer: j**(99\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v + 2*v = 6*v - 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -73. Suppose 5*h - l - g = 69, -5*h + 114 = -4*l. Suppose z + 3*i + h = 0, 5*i = -z - z - 47. Which is smaller: z or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -20. Let g be -4 + (0 + 24\/46)*(-124729)\/(-10846). Put -5, w, -1, g in decreasing order.\nAnswer: g, -1, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 + i + 265*i**2 - 24*i**3 - 104*i**2 - 161*i**2.\nAnswer: -24*i**3 + i + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000698 rounded to seven decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-3)*8\/4. Sort -3\/8, r, -0.1, -0.01 in increasing order.\nAnswer: -3\/8, -0.1, -0.01, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by (4588\/222)\/(2*(-1)\/(-3))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/1417 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-24)\/60 + 444\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561111 is divided by 9738.\nAnswer: 6045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*(13 - 5). Suppose -20 = -4*h, 0 = -4*l - v*h + 16 + 36. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by 19\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031 + -2104 + (27 - -2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 1 (b) 2.05 (c) 7 (d) -1 (e) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106660 = -12399*x - 121122 - 57395 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6990 - 20903.9.\nAnswer: -27893.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**3 - 8*s**3 + 68 + 2.\nAnswer: -s**3 + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1953, -5, 0, -1, -4 in descending order.\nAnswer: 0, -1, -4, -5, -1953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v - 1. Let u(m) = -18*m - 2. What is -4*u(a) + 9*z(a)?\nAnswer: -9*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -4 + 155 + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3721 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + -43 + 13 + -38?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/13 + 157782*u\/13 + 1417932.\nAnswer: 2*(u + 117)*(u + 78774)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9788 is divided by 204.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven halves of a millennium?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -50 and -48 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64875433 and 34615.\nAnswer: 6923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = j + 40, -3*j = -0*j - 2*c + 140. Let v = -46 - j. What is the highest common factor of v and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 40*s**2 - 78*s + 338. Calculate w(-41).\nAnswer: 1855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4582\/11405 - 4\/2281. Suppose 2*c + v + 6 = 4*v, 4*c - 5*v + 12 = 0. Let o = c + 2. What is the second smallest value in o, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 167, 333, 499, 665, 831?\n\"Answer: 166*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000144108608 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -209860335 - -202035.\nAnswer: -209658300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 20 = -8. Let h = 10 - x. Find the third derivative of 2*i**2 - 5*i**3 + 2*i**2 - 7*i**h wrt i.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -15*m + 64. Calculate the remainder when m is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2632.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3883397 and 8036.\nAnswer: 2009","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/5 + 6*u**4 + 166*u**3\/5 + 418*u**2\/5 + 96*u + 40 = 0. Calculate u.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/3 - 628*d**4\/3 + 19900*d**3\/3 + 1880*d**2\/3 - 60938*d\/3 + 39788\/3 = 0 for d.\nAnswer: -343, -2, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*w**2 + 73*w**2 - 24*w**2 + 157*w**3 + 58*w**3 - 2*w to the form f*w + b + s*w**2 + k*w**3 and give k.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 10. Suppose i - 85 = -w*i. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 1\/54*r**5 + 0 + 3*r**2 + 3*r - 1\/180*r**6 + 0*r**3 + 1\/1512*r**8 - 1\/945*r**7 - 1\/54*r**4. Let o(i) = 0. Calculate i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(153) - sqrt(153)*-3*-1) + 3*sqrt(153)*-6)\/((-2*(sqrt(9) - (sqrt(27)\/sqrt(3) + sqrt(9))) - sqrt(9)) + 3*sqrt(324)).\nAnswer: -100*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by (8636\/408 - (-4)\/3)*8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(640) + sqrt(640)*1 + sqrt(40))\/sqrt(10))\/(sqrt(12)\/(sqrt(30)\/sqrt(5)*-2)).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 0.0469?\nAnswer: 0.0469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(2\/(-8) + (-135)\/(-252)). Let v = 95 + -91. Suppose -5*d - 20 = -7*d - v*t, -2*d = -4*t + 20. Which is the closest to d? (a) -1\/4 (b) j (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 5*f**2 - 4*f - 2. Let k(a) = a + 3. Let q be k(-8). What is the remainder when 2\/q + (-5373)\/(-45) is divided by u(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Suppose 3*x = -u*f - 0*f - 6, -x + f = -6. Let m(q) = q**3 + q**2 - 3*q - 1. Let g be m(-2). Solve y = x + g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*x**2 - 3*x**2 + x**2)*(13 + 24 - 4) - 7 - 7*x**2 + 7)*(2*x**3 - 2 + 2).\nAnswer: -146*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*i - 4*r, 4*i - 4*r = -5*r + 3. Suppose i = -b + 16 + 14. Let w be (6\/9)\/((-4)\/(-30)). Solve b = -w*q + 5*y, -3 = 5*q - 2*y + 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -36*v - 20. What are the prime factors of l(-7)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22043997 is divided by 4811?\nAnswer: 4806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15.9 and 0.22071542.\nAnswer: -15.67928458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**5\/20 + 23*s**4\/12 + 17*s**3\/6 + 5*s**2\/2 - 16*s. List the prime factors of a(-22).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 9 = 15. Let y(d) = -4*d - 8. Let l be (3 - (-2 + 2))*1. Suppose -c = -5*q - 10 + 4, -l = 3*q. Let z(m) = -m - 1. What is c*y(p) + t*z(p)?\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 8*j**2 + 11*j - 16. Let y be h(9). What is the tens digit of (1\/y)\/((-7)\/(-14)) - -185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 8 - 11 - (-160)\/352.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**4\/12 - 198*y**2. Let f(n) = -22*n**2. Give f(k(p)).\nAnswer: -88*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 + 198*m + 6804.\nAnswer: (m + 36)*(m + 756)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 2. Let f = -7 + 8. Let b(z) = z + f - z - 3 - z. Let p be b(-4). Determine y(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*d = -411*d - 21483 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 31, 323, -3 in ascending order.\nAnswer: -3, 1, 31, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*d - 120*d + 10*d - 364*d.\nAnswer: -543*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -704\/23 or -31?\nAnswer: -704\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 23*l**2 - 26*l - 43. Let z be d(-22). Suppose 5*j - 37 = 4*q, -z = -4*j - q - 7. Calculate the highest common factor of j and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 47*z**8\/168 + z**5\/60 - 257*z**4\/12 - z**3\/6 + 76*z**2. Find the second derivative of u(f) wrt f.\nAnswer: 1880*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 2, p: 1, v: 3, x: 10, d: 1}. Give prob of sequence sh.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161, 12, 0.1 in decreasing order.\nAnswer: 12, 0.1, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:03 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 54 + -52 - (16 + 10)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(605)*1 + (-5 + sqrt(5) + sqrt(5) + 5*2*sqrt(5))**2.\nAnswer: -109*sqrt(5) + 750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 121731 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(15\/4)\/(c**10*c)*c\/(c**8\/c*c)*c*c\/c**(-13) assuming c is positive.\nAnswer: c**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w - 103*w - 38*w - 2*q + 0*q = -6*q + 232, -5*w = 2*q + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.05 (b) 0.01 (c) -4 (d) -2\/13 (e) 32 (f) -3.9 (g) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 5*a**4\/6 - 35*a**2\/2 - 207*a. What are the prime factors of x(-14)?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -2. Is 0 + w - (-83 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72864 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10831 and 487395?\nAnswer: 487395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3) - 4448\/(-580464)*(-82 + 2 - -2).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21093 (b) -3 (c) 9.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + g - 5 - 8.\nAnswer: g - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 472 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2415 divided by 1555\nAnswer: 483\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 914.8 + -914.8. Which is the nearest to -2\/9? (a) 2\/5 (b) 3 (c) t (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5 = -w. Let x be (7 - 2) + -3 + w. Suppose 5*c + 9 = 2*j + 4*c, -j = 3*c - x. Solve 5*t - j*t - 2 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3711 in -1\/6, 29\/10, 2, 0.5?\nAnswer: 29\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-16)*2 - (-200)\/32. Suppose 7*p = 27 - b. Let r be (p - 1)*1 + (-11)\/5. Which is smaller: r or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43)\/(-26488)*28)\/(49\/308).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5\/9 (b) -2 (c) -0.5 (d) 182 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 4*i + g = 83, i = 4*g + 46. Suppose -2*a - 73 = -199. Calculate the greatest common factor of a and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.32 (b) -23 (c) -157 (d) -335\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -214, -230, -246?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1469, -2954, -4433, -5900, -7349, -8774, -10169, -11528?\n\"Answer: h**3 - 3*h**2 - 1483*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4*h)*(-h - 2 + 2) + (-2*h - h + 5*h)*(1 - 1 + 2*h) + 3*h**2 - 4*h**2 + 4*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2561*w - 5243. What is the hundreds digit of d(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 9:18 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6*x**3 - 653*x**2 + 20*x + 2. Let b(m) = 25*m**3 + 2611*m**2 - 90*m - 9. Give -2*b(q) - 9*l(q).\nAnswer: 4*q**3 + 655*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.54 at least -3406369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 186487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - 97*i**2 - 266*i + 363. Let z be p(-4). Suppose -2*j + 0 - 4*j**2 - 1\/2*j**4 - 5\/2*j**z = 0. What is j?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26755 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: Suppose -32*u + 3*u = 18*u + 141. Sort 3, u, -2, -9 in ascending order.\nAnswer: -9, u, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 10\/10827, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100060.658 rounded to the nearest ten?\nAnswer: -100060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxaxkoyxay. What is prob of picking 1 k, 1 x, and 1 o?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 455709589 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -451? (a) -2 (b) 2\/589 (c) 1\/2 (d) 2\/3 (e) -1\/7 (f) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*z + 108 + 46*z + 2*z**2 + 18*z + 180.\nAnswer: 2*(z + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/16 and (15\/(-30600))\/((-14)\/2212).\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/5 + 3*d**2\/5 - 24*d\/5 - 36\/5.\nAnswer: 3*(d - 3)*(d + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64572779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1017 and 2250?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 70?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcb when three letters picked without replacement from {c: 3, z: 1, u: 4, b: 5}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2003*z + 1947*z = -728 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w + 96. Let c be l(12). What are the prime factors of (c - -4)*1 + -6 - -974?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - h**2 - 80 - 3*h**2 - 75*h + 6*h**2.\nAnswer: 5*(h - 16)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33.7 + 33.4. What is the closest to 1 in 2\/5, l, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + 171. Suppose 0 = 5*i - 10, -2*i = -6*w + 3*w + v. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-431*a + 0 + 1 + 464*a)*(-2*a + 2 - 2)*(-1 + 0 + 7).\nAnswer: -396*a**2 - 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 2*a - 3. Let h(d) = -d. Let m(g) = 4*h(g) - z(g). Suppose 8*t - 7*p - 6 = -12*p, -6 = -p. What is m(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkdkujkkkssyjjkkk. What is prob of sequence ukjy?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -4\/125, 65?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2709 = -18*i + 1179. Let s be -59*(3 - (2 + 0)). Let o be (-5 - s)*(-2)\/(-4). Calculate the highest common divisor of i and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2484, 9924, 22324, 39684, 62004, 89284, 121524?\n\"Answer: 2480*i**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9104, 2, 1, 7 in ascending order.\nAnswer: 0, 1, 2, 7, 9104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {v: 3, b: 3, p: 5, q: 1}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*k + 4378, 5*n - 5*k + 1107 = 6*n. What is n rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3196 divided by -2\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 3:17 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + a + 3*a - 15 = 0, 7*p + 3*a + 128 = -9*p + 153 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/13, -0.5, -0.1, 6, 2.\nAnswer: -0.5, -0.1, 12\/13, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -23) + -22 + 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7572 divided by -1?\nAnswer: 7572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66 - 50)*((-2450)\/(-136) - 18)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2004 = 2*u. Suppose -6*x = -458 - u. Is 35 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, c: 2, f: 1, l: 7}. Give prob of picking 1 v and 2 l.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 51 - 54*l**3 - 15*l**3 + 161*l**3.\nAnswer: 92*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -41*l - 1618. Let b(u) = -11*u - 404. Calculate 15*b(c) - 4*y(c).\nAnswer: -c + 412","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 211*f**3 - f**2 + 4*f - 9. Is q(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 381 = 3*m, -5*m - 1344 = -5*q - 279. Let l = 172 + 168. What is the highest common divisor of l and q?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m + 18. Let a be t(6). Suppose -10 = -5*h - 2*w + 53, 4*w + 4 = a. Let c = -10 + 48. Calculate the remainder when c is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1264860334 and 11491.\nAnswer: 11491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -0.019, -29.4?\nAnswer: -29.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9606 < 15045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*(-6)\/(-56)*(-8)\/15)\/(34\/(-255)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8224, 16464, 24720, 32992, 41280?\n\"Answer: 8*v**2 + 8216*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 9:38 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8997047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2310413303034 + 10?\nAnswer: -2310413303024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - 10. Let o = r + 50. What is the remainder when 61 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1144 + 32 = 0. Let a = r + -215. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1 (b) 4\/9 (c) 0.3 (d) -368\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5092 + -5080. Solve 19 = -r*w - 29 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 991666 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 174, 738, 1302, 1866, 2430, 2994?\n\"Answer: 564*r - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = r - 2*c - 7, r + 4*c = 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609930 is divided by 82.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*w - a + 3*a, 3*w - a - 1 = 0. Let t(x) = -x**2 - 8*x + 2. Let o be t(w). Solve -o*g = -5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-7 - -4)\/(-21))\/(4\/(-14)))\/2. Is d at least 19.97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(7) + sqrt(63)) + sqrt(7) + (sqrt(1008) - sqrt(1008)*-2) + 4)**2.\nAnswer: 136*sqrt(7) + 2039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 3564 = 11*o. Let z = 150 + o. What is the remainder when 125 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12145*-24.6\nAnswer: -298767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 12 + 17 = -5*j, 0 = j + 4. Let w(z) = -z**2 - 6*z + 10. What is w(r)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x - x)*(-699 + 7*x + 699 - 3*x + 4*x - 4*x + (0 - 1 - 1)*(0*x - 3*x + x) + 1 - 1 - 4*x)*(1 - 4 + 2).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/1450 and -77\/10?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d - 3*d**3)*(1 - 3*d - 1 + (2*d - 2 + 2)*(37 + 55 - 13)).\nAnswer: -465*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19710 divided by 27?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 5*h - 5. Does 7 divide l(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-3) + (-2158)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1166 + 3*b - 1658 + 492.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -303134 minus -117893?\nAnswer: -185241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*n - 9. Suppose -16*m + 23*m = 7. Let i be (52\/5)\/m + (-4)\/10. Solve -n*p - 4*a - i = 0, 4*a + 15 - 1 = -5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 4 - 17) + -25?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1066 + -176. Suppose 5*z = s + 355. Suppose 4*u - z = u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*k + 5 + 76*k - 61*k - 46*k.\nAnswer: 7*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27 + -8b2333?\nAnswer: -8b230c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2944163 divided by -2\nAnswer: 2944163\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1355*j**5 + 40*j**4 - 2069*j + 133?\nAnswer: 27100*j**3 + 480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229 divided by 29704?\nAnswer: 1229\/29704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x - 21*x - x**2 - 113 + 59. Let o be v(-28). Find l such that -7\/5*l**o - 12\/5*l + 4\/5 = 0.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232 and 5408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - -32. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.3097 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113587 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1879 - 0?\nAnswer: 1879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -47951, -47939, -47913, -47867, -47795, -47691?\n\"Answer: t**3 + t**2 + 2*t - 47955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0.1. Let n = -104.94 + 105.94. What is the fourth smallest value in -2\/5, n, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(19) - (sqrt(19) + 0)) + (1*sqrt(1216) - sqrt(1216))**2 + sqrt(209)\/(sqrt(44)\/sqrt(4))*-5.\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/160 and -101\/80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 362263576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2*y + 44 = 0, -5*y - 6 = -411*i + 409*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 - 123. Solve 5*f - y + 15 = 4*y, -3*f + 4*y - 7 = z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 8*l + 5. Let n = 11 + -17. Let i be r(n). Suppose -15*k - 10 = -i*k. Solve 3*t + 0*t - 28 = 5*m, 20 = -5*t - k*m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -142136 - 22?\nAnswer: -142161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = o + 3*o - 13, -2 = -2*t + 4*o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 3)\/(2 - 3). Suppose 3*k - 457 = -n*h + 623, 0 = h + 5*k - 380. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 194.74 * 5.\nAnswer: 973.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280 + 280 + 71*a - 58*a + 113*a**2 - 12*a.\nAnswer: 113*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -10*q + 140. Suppose -4*p = -12*y + 7*y - 31, -3*y - 13 = -2*p. Let m be w(p). What is the smallest value in 1\/4, -4, 0.6, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)\/(-5*sqrt(10)))\/(-5*sqrt(640))*5.\nAnswer: sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11108707 > 11108707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n**3 - 11*n**2 - 5*n - 11. Let m(z) be the third derivative of z**6\/120 - z**5\/30 - z**4\/24 - z**3\/3 - 2*z**2. Determine 2*l(f) - 11*m(f).\nAnswer: f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -365, 291, 5, 10, -5 in ascending order.\nAnswer: -365, -5, 1, 5, 10, 291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21560 and 45110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(-8)\/(-592)*(-472)\/(-2832)?\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfffcffccccifciofoic. What is prob of sequence cc?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 5*d - 12. Let b(h) = 3*h. Give b(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6b4b6 + 5?\nAnswer: -6b4b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.0519 * -2\nAnswer: 0.1038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.0965 to one decimal place.\nAnswer: 12.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*u - 16, -26 = m - 2*u - 3*u. Let a(w) = w**2 - 4*w - 1. Let z be a(5). Put 2, m, z in descending order.\nAnswer: z, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1))**(-3\/22)\/((j*j**0\/j)\/j**(2\/11)) assuming j is positive.\nAnswer: j**(-1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 17 + 50*d**2 - 37*d**2 to the form o*d**2 + w*d + f and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4449 in 6, 0.2, -2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7898365*r + 7900471*r + r**2 - 1)*(3*r - 3*r - r).\nAnswer: -r**3 - 2106*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1338656.4 minutes?\nAnswer: 929.6225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/630 and 145\/11296866.\nAnswer: 169452990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -12 + 8. Let b(t) = -5*t - 4. Let o(s) = 6*s + 3. Let v(q) = -4*b(q) - 3*o(q). Let c be v(-3). Solve r*u - c = 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 226 - 221. Calculate the remainder when 45 is divided by j*(0 - 1) + 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/160246 and 87\/190.\nAnswer: 801230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 450 and 27.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4409841 = 3*n - 4409964 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, b: 2}. What is prob of picking 2 b and 1 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 62 = -3*g, k + 60 - 17 = 2*g. Let t be 3\/12 - g\/(-32). Which is bigger: t or -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = 3*k. Let h be (-1 - k) + (-16)\/(-4). What is the third derivative of -3*o**3 + 2*o + 2*o**h + o - 3*o wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 8*y**2 + 4*y + 17. Calculate j(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3915 = 4*v - 2025. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -140 + 52. Let u be ((-18)\/8)\/((-33)\/a). Let r(s) = -s**2 - 7*s - 4. Let j be r(u). Solve x + 1 = 0, -j*f - 6*x = -x + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**6\/75 - 3*w**5\/25 + 13*w**4\/30 - 4*w**3\/5 + 4*w**2\/5 - w. Factor q(l).\nAnswer: 2*(l - 2)**2*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frf when three letters picked without replacement from {y: 2, r: 5, f: 12}.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 322 - 317. Let h be 4\/(-6)*(-1)\/(-197). Let y = h - 1136\/13593. Which is the second biggest value? (a) -5 (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1326570.\nAnswer: 2, 3, 5, 7, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113 - -111.4. Let j = -46 + 47.64. Let b = g + j. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**16*m)**(4\/17)\/(m*(((m*m**(2\/107))\/m)\/m)\/m*m*m\/(m\/(m*m*m**(-4\/31)*m)*m*m)) assuming m is positive.\nAnswer: m**(188657\/56389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32325313 - 23?\nAnswer: -32325336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(77))\/sqrt(7) - (0 + sqrt(11) + 0 + sqrt(11)) - 6*(sqrt(22)\/(sqrt(16)\/sqrt(8)) + 0))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 206 = -58*s - 1930 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 26 = -9*d + 6*d, 4*p - 10 = 5*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 73, 70, 67, 64, 61, 58?\n\"Answer: -3*j + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.03, -5, -156460, 2, -4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((3 - -1) + -50 + 57 + 23).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426020?\nAnswer: 2, 5, 7, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 118*d*u + 10606*d + 2783911*u wrt d?\nAnswer: 118*u + 10606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 50*v**2 + 153*v + 111. Is u(49) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h**2 - 1. Let n(l) = -2*l + l - 1 + 0*l. Let o(j) = j**2 - 7*j - 2. Let y be o(7). Let c be n(y). Calculate m(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 1. Suppose x + 10 = -5*s. Let w = 5 - 8. Is w at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3785 - 0.6215. What is the closest to m in -4\/7, -3\/2, -5, 2\/17?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 11 + 5\/(-5) - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -1234403315?\nAnswer: 1234403313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 654 - 654.000307. Round p to 5 dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181936900*d**2 - 111767155*d wrt d?\nAnswer: -363873800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r + 6. Suppose -4*n = -k, -k - 4*n - 9 = n. Let p = -3 + 5. Sort k, p, r.\nAnswer: k, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 337 = -16. Which is greater: u or 320?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -90\/629 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -2*s**3\/3 - 48*s + 34. Let g(v) = -v - 402. Determine g(d(p)).\nAnswer: 4*p - 402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -774 + 360 - 418*c - 651 - 480 wrt c.\nAnswer: -418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -17*x + 21*x. Let a(n) = 0 + 2*n - 4 + 4*n**2 + 6. Determine a(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -61\/4529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h + 31. Let w be k(-7). Let b(n) = -n + 3. Let x be b(w). Solve 3*j - 2*j + 3*z - 13 = x, -2*z + 2 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -60*g - 138. Is n(-21) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8283c2 (base 13) to base 8.\nAnswer: 13474513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 260 - 16906\/65. Is 0 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*s + 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 2979769130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6.7. Let q = 30.8 + -30. Let l = c + q. What is the closest to 0 in 0.3, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30014 - 230031?\nAnswer: -310100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 309*(16\/6 + -3). Let r = p + 105. Solve r*v - 2*t = 12, -8*v + 4*v + 2*t = -14 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**5\/20 + 3*s**4\/4 + 5*s**3\/3 - 15*s**2\/2 - 14*s. Let z be n(10). What is z rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-8)\/t*t**(-31)*t\/(t*t\/(t*t*t**(4\/5)*t))*((t\/(t\/(t**(-2\/41)*t)*t))\/t)\/t assuming t is positive.\nAnswer: t**(-8046\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 505540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92\/657 + -74491\/11169. Is a bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -13*b**2 + 7*b. Let i(a) = -7*a**2 + 4*a. Suppose 5*w = 2*s - 32, 4*w - 12*s = -127 + 39. Determine w*x(m) + 7*i(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 15280387?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 16310?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10481?\nAnswer: 47, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*b**5 + 5*b**5 - 3*b**3 - 9*b**5 + (b + b**4 - b)*(0*b + 4*b - 3*b).\nAnswer: 4*b**5 - 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 77. Calculate w(9).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-35 - (-94 + 52))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s + 1620. Calculate the common denominator of -29\/12 and 4\/(-18) + (-3063)\/s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78011?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81 + -81. Find the third derivative of v*h**4 - h**6 - 33*h**2 + 17*h**2 + 0*h**4 wrt h.\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36\/7 - -79\/14. Which is bigger: 43\/5 or z?\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*1\/6 + (-1 - 0). Let v = 4 + -7. Which is the second biggest value? (a) v (b) y (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -34. Let n be ((-50)\/(-4))\/5*10. Let v = n - y. What is the lowest common multiple of 7 and v?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15590206 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -283 + 529\/2. Let r = n + 19. Let 1\/4*a**2 - r + 1\/4*a = 0. Calculate a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18140*j*r**2 + 184115438*j*r + 1922*r**2 wrt r.\nAnswer: -36280*j + 3844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - (274\/18 + 206\/(-927)). Which is smaller: q or 15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50479\/3943 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54 + 127 + 77)*(-1 + 1 - g + 2*g - 2 + 2 + (2 - 5 + 2)*(0*g + 0*g - 2*g) + 3*g - 5*g + 4*g + g + 1 - 1 + (1 + 0 - 2)*(0*g + g + 0*g)).\nAnswer: 750*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiuikiikukkkuua. What is prob of picking 1 u, 1 i, and 1 a?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-20) + -2 + 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7381 or 7379?\nAnswer: 7381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*w + 5*w**2 + 22*w - 3*w**2.\nAnswer: 2*w**2 + 69*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2328732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -8. What is the lowest common multiple of 9 and (c\/4)\/(3\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufffsfifii. Give prob of picking 1 i and 3 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -216*y. Let n(w) = 31*w. Give -20*n(g) - 3*t(g).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 124133 = y - 296530, -5*y + b + 2103351 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*r + 23 - 303 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5667, -4391, -3077, -1719, -311, 1153?\n\"Answer: q**3 + 13*q**2 + 1230*q - 6911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 7*y**2 + 19*y + 1. Let k(j) = -20*j**2 - 57*j - 3. Give 4*k(n) + 11*z(n).\nAnswer: -3*n**2 - 19*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*y - 131288 - 147012. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6592, -28172, -64132, -114466, -179168, -258232, -351652?\nAnswer: -459422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2. Let u = i + 6. Let p(o) = -11 + 43 - 26 + 56*o - 57*o. Calculate p(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -327, -329?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 484 + -475. What is the remainder when 170 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 1:34 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268820930.\nAnswer: 2, 5, 7, 19, 202121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 - 230*w\/3 - 452\/3.\nAnswer: -2*(w + 2)*(w + 113)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - h + 12*y + 173, -43*h + 5*y - 11 = 61*h - 100*h - 61 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 356192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41458*c**3*s**3*x + 1125*c**3*s*x + 1758*c**3 - 2*c**2*s**2 - 5287*s**3 wrt x.\nAnswer: -41458*c**3*s**3 + 1125*c**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259862 - 981853 = -15*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - x + 6*x - 5, -3*d = x - 1. Suppose -4*v + 5*y = -119, 2*v - 13*y + 10*y = 61. Solve o = -b - d + 7, -v = -2*o - 5*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 8*c - 5*c = -2, -d = -c + 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2371 (b) 2.051 (c) -0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5735.28 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*(120\/(-35) - -2). Which is smaller: w or 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 23 = -3*j, 33*j + 4*d - 28 = 30*j. Calculate the remainder when 638 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*48\/(-440))\/((-24309)\/1095).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3509041050 - 0.\nAnswer: -3509041050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001010001111101 + -10?\nAnswer: 1001001010001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13554233*x**2 - 114450132?\nAnswer: 27108466*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9927300 rounded to the nearest one hundred thousand?\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - d = -13*l + 9*l - 24, d + 9*l - 6 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -276*i + 291. Determine o(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 499 + 8*z + 500 + 3*z. What is l(8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-732)\/(-84) - (-5)\/(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4 + 12 - 20*f**2 - 4 - 3 + 3*f**4 + 11 = 0. What is f?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/16950 and -191\/281370.\nAnswer: 1406850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1156 and 57256.\nAnswer: 973352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6978\/71 or -98?\nAnswer: -6978\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*f = 9 + 1, f - 7 = -4*n. Suppose 0 = 5*p - n*v + 34 + 20, -5*v - 63 = 4*p. Is (p\/10)\/(9\/(-210)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8768?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmxmpppxpppmypyxmep. What is prob of picking 2 x and 1 e?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-11 - (4 + -7 - 7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.65936 - -0.14064. What is the fourth smallest value in -0.5, -55, 5, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33754 and 1834.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 22. Let m be ((-5)\/(-2))\/((-3)\/(-18)). Calculate the highest common factor of m and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 14*o**2. Let r(w) = -17*w. Determine q(r(x)).\nAnswer: 4046*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -8270?\nAnswer: -8265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4828, -9646, -14462, -19276, -24088, -28898, -33706?\n\"Answer: i**2 - 4821*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 638 - 629. Let y be 0 + (1 + 0 - 7). List the prime factors of (-60)\/h*9\/y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16770 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 18*h**4 + 82*h**3 - 70*h**2 + 20*h + 40. Let k(n) = 2*n**4 + n**2 + 2*n + 4. Let u(r) = -10*k(r) + z(r). Factor u(d).\nAnswer: -2*d**2*(d - 40)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-9)*v)\/v*((v**(4\/11)\/v)\/v*v)\/v)\/((v*v*v**7*v)\/v**0) assuming v is positive.\nAnswer: v**(-216\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2031*o + 1562*o**4 + 17 + o**3 - 2038*o - 29 + 109*o**2 + 12 wrt o?\nAnswer: 37488*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97742538 to the power of 1\/3, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62241314.\nAnswer: 2, 31120657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3)*(-6)\/(-2). Suppose -l = -4*h + 2*m, 0 = -3*h + 4*m - 10 + 4. Suppose h + 2 = 2*o. Solve -o*a - 4*p - 15 = -3*a, 2*a = -p + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 292307940 to the nearest one million.\nAnswer: 292000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1)*(-6)\/(0 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2287.8 and 0.01.\nAnswer: -2287.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -78. Solve -3*c - 4*n + 7 = 0, 5*c + o*n - 23 = -8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -26671.\nAnswer: 4\/26671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 <= -1701\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4710 = -q, 3*q + w + 10773 = -3343. Is (0 - -1)\/((-5)\/q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 + 2 + 3*v**2 - 162*v - 185*v + 359*v - v**4 to i + x*v + z*v**4 + c*v**3 + t*v**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*n = 28*n - 34*n + 608 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 246994090?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 662, 1108, 1860, 2924, 4306, 6012, 8048, 10420?\nAnswer: 13134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -111202020 (base 3) to base 11\nAnswer: -7592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 793858 by -793858.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4054 (base 7) in base 13?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 78. Calculate the remainder when i is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580026 (base 10) in base 14?\nAnswer: 111546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 213898 to the power of 1\/2, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48900.25 tonnes in nanograms?\nAnswer: 48900250000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/(-2)*-2 - 1. Let u = o - -34. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a008 (base 12) in base 6?\nAnswer: -452012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -0*w + 3*w + 2*z, 0 = -5*w - 4*z + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 28 - 31 + 48 + (2*v + 0*v - v)*(19 + 5 + 9) to m + r*v and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 86*p**2 - 12*p - 27. Calculate t(-2).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/65 + (-96)\/(-240). Which is greater: o or -5\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2 + 6 - 5*w + 26*w**2 - 38*w**2 + 81*w**2 to d + k*w + q*w**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159 - 153. Suppose -2*b + 996 = 4*j, -3*j + t*j = 4*b + 769. What are the prime factors of j?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4966, -3854, -2742?\nAnswer: -1630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -148 + 1039\/7. Let b = -12 - -12.8. Are c and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7916 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.685*16.\nAnswer: 58.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3711 + -18558\/5. What is the fourth smallest value in -3, 2\/25, 1\/6, x, -9?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.00522 + 200.06478. Round t to the nearest integer.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26699124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -11. Let t be f\/(-2)*(-12)\/(-9). Is 1\/3 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from {a: 2, s: 2, p: 4, o: 11}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-52)\/8) - (-7)\/(-5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 20218313 - 21*k**2 - 20218317 + 5*k**2.\nAnswer: -21*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a - 93. Calculate the remainder when 91 is divided by h(20).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 1283*q**4\/12 + q**3\/2 - q**2 + 23*q. Let y be i(1). Let v = -5187\/4 + y. Find the common denominator of 81\/20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and (-2052)\/(-95) - (6\/10 - 1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 109348 = -7524. Is 53 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424451 is divided by 30314?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1212 - -16993\/14. Let s = -511331\/5255717751 - 1\/265561. Let j = 837811\/79164 - s. Calculate the common denominator of m and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-72 + 74 - (1 - 3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134116724?\nAnswer: 2, 7, 684269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llzzzhnynlf. Give prob of sequence yl.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**5\/6 - 158225*t**4\/6 + 1740035*t**3\/6 - 5219795*t**2\/6 + 2926180*t\/3 - 1107190\/3 = 0. Calculate t.\nAnswer: 1, 2, 7, 31634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 44408564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 34.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42946 - -19100. Let i = -572197\/24 - j. Find the common denominator of 8\/2 + 294\/36 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9181 + -0.3181. Which is the third smallest value? (a) 2\/9 (b) -1\/21 (c) 3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -736 <= -722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a centimeter in millimeters?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -417929\/11450 - -2\/5725. What is the common denominator of 69\/20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-176) + (-63)\/(-16). Let r(q) be the third derivative of q**3 + 1\/12*q**6 - 5\/12*q**a + 5*q**2 + 0*q + 0 - 1\/10*q**5. Factor r(w).\nAnswer: 2*(w - 1)*(w + 1)*(5*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {c: 2, v: 8, s: 3, j: 2, o: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 606975 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000667711 rounded to 6 decimal places?\nAnswer: -0.000668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f**3 + 2*f**2 - 4*f + 3. Let c be (-5)\/(-2)*54\/(-15). Let y(s) = 24*s**3 + 8*s**2 - 17*s + 13. Let o(a) = c*h(a) + 2*y(a). Determine o(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**4 - u**3 + 3*u**2. What is the tens digit of k(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8 - 3 + 17 - 5 - 7*t - 7. Let x(l) = l**2. Give x(c(p)).\nAnswer: 49*p**2 + 84*p + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5\/11 + 126*n**4\/11 + 1132*n**3\/11 - 9816*n**2\/11 - 58640*n\/11 + 67200\/11 = 0 for n.\nAnswer: -10, -6, 1, 8, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2365 - 2367 - 60*x + 4730)*(-x**2 - 2*x**2 + 4*x**2) to the form u + p*x**3 + z*x + f*x**2 and give p.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10067, 10065, 10063?\nAnswer: 10061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20776 - 19582. Sort c, -3, -4 in ascending order.\nAnswer: -4, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9948\/(-21))\/(25*(-2)\/35). Which is greater: 332 or m?\nAnswer: 332","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24 from 63.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/14)\/(1 + 1445\/(-1435)). Suppose 7*u + j = 4*u + m, -3*j - 73 = -2*u. Calculate the remainder when 375 is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 146642*p + 14.\nAnswer: -146642*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**5 - 8650*p**4 + 3148860*p**3 - 268337720*p**2 + 1023524000*p = 0. What is p?\nAnswer: -2050, 0, 4, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*t + 2 = -0, -3*v + 10 = 2*t. Suppose v*g + 0*g - 6 = y, 5*g + 15 = 0. Let q be 0 - -1 - (y + 8). Solve -2*w = -5*d - 28, q*w + 6 = 26 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674972852 a multiple of 553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 88*w + 93*w = 37, 3*l + 2*w = 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 12. Suppose -11*s + 7*s = -2*q + 40, 3*q + 2*s + 20 = 0. Solve -15 = -q*t - y*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(165)\/sqrt(5) - ((sqrt(4752) - sqrt(4752)*1) + sqrt(4752)))\/(((sqrt(99)*-3)\/sqrt(11))\/sqrt(3)).\nAnswer: 17*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c + 5 = 0. Let i = c - -6. Solve -i = -s + 6*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 177\/59*(-1)\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -666779 and 3.\nAnswer: -2000337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.714248 to two decimal places.\nAnswer: -37.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 12*v - 64, -3466459*r = -3466458*r - 3*v + 17 - 3 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, l: 4, z: 2, c: 1, a: 1, y: 5}. What is prob of sequence lcz?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*y - 2976, -8*t - 4*y - 7452 = -13*t. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*g = -65*g - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9867 divided by 897\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27637615 and 1730?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 18*p + 35. Let m be n(-15). Suppose 4763 = 16*l - 1621. Let o = l - m. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -133 + -1065?\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2) + (4 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21 - (-1 - 2)) + 3. Solve 32 = -s + b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65859211 * 0.5.\nAnswer: 32929605.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 197 + 203 = 4*p, -3*g + 6*p - 30 = 0 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5514936 divided by -1378734.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.106 - -77.106. Let j = -433 - b. Let v = 509.767 + j. Round v to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12392, -24787, -37184, -49583?\n\"Answer: -i**2 - 12392*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 8:49 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**3 + 11*f**2 - 9*f - 11. Calculate p(4).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**5 - 2978*m**4 + 628306*m**3 + 1277498*m**2 - 1902828*m = 0.\nAnswer: -3, 0, 1, 257, 1234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -33. What is the remainder when 38 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 1785.\nAnswer: -7140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40314, -40315, -40316?\nAnswer: -40317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9.734 + 0.1\nAnswer: 9.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8*x**2 - 3*x + 2. Let m be o(3). Let r = m - -103. What is the greatest common factor of 21 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a + 4. Let c(m) = -3*m - 2. Determine 7*c(l) + 4*x(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 - 48 + 48 - 3*t**4 + (-2*t**4 + 0*t**4 + 4*t**4)*(2*t - 3 + 3) - 12*t**5 - 13*t**2 + 13*t**2.\nAnswer: -7*t**5 - 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 31*o**2 + 85*o + 109. What is b(-27)?\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 102 = 14*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*y + 26*y = -359 + 1879 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (12\/(-14) + 0). Let i = -5\/4 + 23\/28. Let n = -12148 + 12147.9. Which is the third smallest value? (a) n (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Suppose 5 = k*n - 7. Suppose -6 = 2*y - n*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - s + 9. Calculate c(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21088628719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 - 3 + 0*c**4 + c - c**2 - c**4 - 3*c to the form d + p*c**4 + o*c**3 + j*c + r*c**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**3 - 126*r**2 - 123*r = 0.\nAnswer: -41, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n - 71 = 5*y, -4*n - 2262*y = -2265*y - 55 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 greater than 14\/183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**3\/3 + j. Suppose -4*z = -5 - 15. Let u(m) = 4*m**2 - 5*m + z*m. Determine u(k(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**4\/q))\/q**(-3\/4)*q**(-2\/3)*q**(2\/3)*q*(q\/q**1)**(-31)\/(q**(4\/3)\/(q*q\/(q*q*q\/(q\/((q*((q*q*q*q**(-5)*q)\/q)\/q)\/q))*q)*q)) assuming q is positive.\nAnswer: q**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - 0.18. Let i = -2\/471 - 626\/471. What is the closest to -1\/2 in 3, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/20 and 10\/4 + (-6432)\/1664.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3833 (base 9) to base 15.\nAnswer: -cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 796645463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195 (base 11) to base 7.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.5+-32662\nAnswer: -32663.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-6) - (-49 - -27 - -26). Which is the third biggest value? (a) -4\/7 (b) -0.1 (c) s (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14407*l**2 - 13605*l - 263199799 wrt l.\nAnswer: 28814*l - 13605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4474667*c**3*y - 2*c**3 + 17*c**2*y - 71*c**2 + 2292*c*y wrt c.\nAnswer: -26848002*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 44 = 4*t, 2*o - 4 = 4. Let n(z) = 3*z**3 - 7*z**2 - 5*z + 7. Let i be n(t). Suppose -i = f - 6*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = -s. Let r(d) be the first derivative of -1 + 0*d**2 - 2*d + 0*d**s - 1\/4*d**4. Differentiate r(j) with respect to j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 199, 1, -4, -7, 0, 7.\nAnswer: -7, -4, 0, 1, 7, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - 0.06. Let d = -9.04 - v. Let f = d - -8.9. What is the closest to f in 0.3, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100220 - -22201121?\nAnswer: 22100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (45\/(-25))\/((-42)\/(-15)) and 71\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.83 - 4.66. Which is the second biggest value? (a) p (b) 1\/3 (c) 0.67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40826651 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2 + 49*k = 0.\nAnswer: -49, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 57415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o**3 + 214*o**2 + 51*o + 105. What is the lowest common multiple of b(27) and 1286?\nAnswer: 15432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 713 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*j - 58, 3 = j - 1. Let a = 15 + o. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9259142.\nAnswer: 2, 31, 149341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 6:24 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 25 - 28 - 338*b + 3*b**2 - 1315*b + (b + b - 4*b)*(-3*b + 3*b + b) to m + c*b + g*b**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35404873*a**3 + 4880404?\nAnswer: -106214619*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - h - h**2)*(-h + h - h) + (-h**2 - 12*h**2 - 2*h**2)*(-5*h + 2 - 2) to the form b*h**3 + p + z*h**2 + j*h and give b.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 112 + ((0 + 4)\/4 - 2). Suppose -116*d**2 + g*d**2 + 5*d**4 + 2*d**4 - 10*d**3 - 2*d**4 + 10*d = 0. What is d?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/((o**(-2\/39)*o)\/o)*o)\/o)\/o)\/(o\/o**(-4)))**(1\/16) assuming o is positive.\nAnswer: o**(-193\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 a factor of 1539496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 - 2*d**2 - d**2 + 13*d**2.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -21, -25\/129?\nAnswer: -25\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -51 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*c + 668, 835 = 5*d + 2*c - 5*c. Let z = 185 - d. What is the highest common factor of 342 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k + 1. Suppose 3*t + 1 = -4*l + 7, 3*l + t - 7 = 0. Let c(y) = 12*y + 3. Let p = 11 - 19. Let q(w) = l*c(w) + p*a(w). Give q(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19198, -38389, -57574, -76753?\nAnswer: -95926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 216511*x**2 - 13*x + 3105853 wrt x.\nAnswer: 433022*x - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + y - 2*y)*(-1 + 2*y**4 + 1) + 227*y**5 - 163*y**4 + 163*y**4.\nAnswer: 217*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -11*n**2 + 952*n + 435. Calculate h(87).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(343) + (sqrt(343) + -2 + sqrt(343))*2 + sqrt(343) - (1 + -5 + (-1 + sqrt(7))*-5))**2.\nAnswer: -658*sqrt(7) + 15512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 31747248*h - 31747249.\nAnswer: (h - 31747249)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 2)*(-p - 5*p + p)*(-1 - 4 + 3)*(0 - 4 + 2)*(4 + 0 - 2)*(-2*p + 3*p + 0*p).\nAnswer: 280*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 3)*(g + 2 - 2)*(4*g - 4*g + g**3) + (-4 - 1 - 3)*(-g**4 - 20*g**4 - 55*g**4) to the form y*g**4 + k*g**3 + o*g**2 + v*g + i and give y.\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a919 - -a27?\nAnswer: -899a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*z - 4*c, 3*c + 3 = 3*z - 0*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**8\/168 + 2*f**7\/15 + 19*f**6\/120 + 15*f**5\/4 + f**3\/6 + f**2 + 26*f + 49. What is the third derivative of v(t) wrt t?\nAnswer: 120*t**2 + 672*t + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s - 28*s + 12*s + 11*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -297*r**3 + 1095*r - 1095*r + (-16*r**3 + 6*r**3 + 11*r**3)*(-1 + 0 + 0) to the form v*r + b + m*r**3 + d*r**2 and give m.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 1)*(6*k + 2*k + 0*k) - 3 + 5 + k + 0 to the form d + n*k and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 + 31 + 13 + 46*t**4 - 86*t**4 + 38*t**4 + 0*t - 2*t + t**2 to the form j*t**3 + n*t + w*t**2 + o*t**4 + u and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 9*w + 7. Let h be (-78)\/9 + (-4)\/(-6). Let j be i(h). Is 0.055 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -941*n**5\/60 + n**4\/3 - n**3\/6 - 117*n**2 + 2. Find the second derivative of h(f) wrt f.\nAnswer: -1882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -82?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**6\/2340 + c**5\/390 + c**4\/52 + 53*c**3\/3 + 3. Let i(z) be the third derivative of u(z). Factor i(g).\nAnswer: -2*(g - 3)*(g + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012123023 to six dps.\nAnswer: -0.001212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 99635620 divided by 7\nAnswer: 14233660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from nqananaqaxaji?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7592, -130, -7866, -15622, -23404, -31218?\nAnswer: -39070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1590 and -29\/24.\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1347087557?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:55 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + h + 1. Let y(b) = -b**4 + 2*b**3 - 2*b**2 - 2*b + 5. Let n(w) = -2*j(w) + y(w). Solve n(a) = 0 for a.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2966 a factor of 774058984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 27. Let q(c) = 2*c**3 - 3*c**2 + c + 2. Give q(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 1 - (4 + (0 - 5)). Solve -5*d - 3*u = -2, l = -3*u + u - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -9. Suppose 2*q - o*q + 98 = 0. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttrtbttjrrk. Give prob of sequence jt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/238?\nAnswer: -1\/238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/((-196)\/24))\/(1\/(-7)). Suppose -l*w = 1312 - 1384. Calculate the remainder when 208 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = r + 33*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1262708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 3*b + 17. What is q(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30822644, 30822646, 30822648, 30822650, 30822652, 30822654?\nAnswer: 30822656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f - 107. Let o be p(11). Let w(k) = -4*k - o*k + 2*k + 6*k + 184. Let j(y) = -y. Calculate w(j(u)).\nAnswer: -u + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 32 = 24 + 25 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 21. Let a be n(0). Let s = -19 - a. Let g be 9\/(-54) - 2\/(-12). Solve g = s*i + 8 + 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, g: 5, u: 3, p: 1, f: 1, z: 1}. What is prob of sequence fpgu?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 1:13 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919057 is divided by 114863?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10309037, 10309044, 10309051, 10309058, 10309065, 10309072?\n\"Answer: 7*p + 10309030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m. Let p(j) be the third derivative of -1\/4*j**5 + 5 + 0*j - 6*j**2 + 0*j**3 + 0*j**4. Give p(t(x)).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -142?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 13. Suppose -v + d = v. Suppose -m + 10 + v = 0. What is the remainder when 105 is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -273934.\nAnswer: -1\/136967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/9 + (-46)\/(-207))\/(-5)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 660\/13, 13, -2, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 g, and 1 u when three letters picked without replacement from {k: 1, z: 1, o: 4, g: 2, d: 1, u: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -79552823 rounded to the nearest 10000?\nAnswer: -79550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -12210200210202?\nAnswer: -12210200210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*w = 0, x - 2*w = 3*x - 10. Let o be -1*(6\/2 - x). Let s be -4*(o - (-2)\/8). Which is the second biggest value? (a) s (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 3.8 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5155 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -127*x - 1. Is w(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2, 26\/653343?\nAnswer: 26\/653343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 47*m - 2241. Calculate l(67).\nAnswer: 908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -13017*h**3 - 11*h**2 + 10*h - 5. Let n(j) = -6508*j**3 - 7*j**2 + 6*j - 3. Calculate -3*l(g) + 5*n(g).\nAnswer: 6511*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 11:11 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*b + 300*b - 159 + 159 as t + u*b and give u.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 11414804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*r = 27*r - 41*r - 308 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x**3 + 2*x**2 - 19*x - 20. Determine p(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2586072955?\nAnswer: 5, 59, 229, 38281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440642023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esqftfeststets. Give prob of sequence ees.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -335 - -400.3. Let g = f - 65. Put 3, g, 4, 0.4 in increasing order.\nAnswer: g, 0.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 1\/4, -0.2, -4, 24, 162 in descending order.\nAnswer: 162, 24, 3\/4, 1\/4, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = r, 192*b = 190*b - 4*r + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.424?\nAnswer: 0.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**3 - d**2 + 1. Let a be o(1). What is the first derivative of 4 + 0 + a - 6*t**3 wrt t?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146271a (base 12) to base 2.\nAnswer: 1111101011011110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 21 = 5*p. Let w(d) = 301*d - 1485. Let k be w(5). Solve -p*m + k = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(119) - sqrt(119)))\/(1*sqrt(567)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 221.2179 and 19.987?\nAnswer: 201.2309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -494 + 491. Let u(x) = -x**3 - 2*x**2 + 3. Give u(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, m: 1, l: 1, j: 4}. What is prob of picking 1 l and 3 y?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1959380?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -o + 5*p, -9*o = -4*o - 5*p - 470. Suppose 0 = 8*f - o + 34. Solve -5 + f = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 118*m + 9*m + 98*m - 37*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62978333.\nAnswer: 11, 647, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/24150 and 71\/126.\nAnswer: 72450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 27 = 5*l, -2*d = 4*l + d + 21 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 4 = -2*y, 5*d + 54 = 81*y - 108*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49252*q + 24625*q + 24630*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 3, -3.9, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 32 = 5*d. Let l = -8 + d. What is the second derivative of 5*r - 2*r + 0 + l + 3*r**3 wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 0*w + 9. Suppose 4*u - 5*b + 416 = -581, 0 = -w*u + 4*b - 747. Let t = 650 + u. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 675173 divided by 675173\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, j: 2, z: 4}. What is prob of sequence jvzj?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(325) + sqrt(325) - sqrt(13))*6 - -5*(sqrt(637) - (sqrt(637) + 0)))**2.\nAnswer: 393588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/10 (b) 5\/2 (c) -5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 595837414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 93, -12, 3 in descending order.\nAnswer: 93, 4, 3, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 8051?\nAnswer: 2415.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 6*i**2 - 4*i + 30. Give k(-8).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*u + 102*u + 3349 + 395 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783585871?\nAnswer: 23789, 32939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sksk when four letters picked without replacement from {s: 5, k: 8}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 20 = -3*i + 4*c, 3*c + 10 = i. Solve 0 = i*j + 2*p - 14, -2*j + 0*p + 4*p = -2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 6*y**2 - 6*y - 19. Suppose 23*c + 7 + 145 = 14. Determine r(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/h)**(4\/31)\/(h*h**(-4)\/h)**(-1\/3) assuming h is positive.\nAnswer: h**(-172\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by -218.\nAnswer: 35\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 614*u - 2457. Determine g(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-12))\/(624\/936). Sort -211, m, -0.4, -2 in descending order.\nAnswer: m, -0.4, -2, -211","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 48*m**3 + 2*m + 1. Give w(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -250*j**2 + 76664*j - 14757212?\nAnswer: -500*j + 76664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(78) + -2*(sqrt(78) + (5*sqrt(78) - sqrt(78)) + sqrt(78) + sqrt(78)))*4)\/(1*sqrt(486)*5*2))**2.\nAnswer: 8788\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2091 - -2091. Which is smaller: 3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 + 4 - w**2 + w**5 - w**2 + (20*w**2 - 66*w**2 - 41*w**2)*(-w + w**3 + w) + 6*w**4 - 3*w**5 - 6*w**4.\nAnswer: -92*w**5 - 2*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 88 = 2*d + 2*p, 156 = 4*d + 2*p. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 4)*(5*t - 3*t - 3*t) + (-69 - 47 + 85)*(4*t - 3*t - 2*t).\nAnswer: 35*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 + 123?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40.1657 + 2.7833. Let y = w - 43. Round y to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 734 - 249 = 4*g, 5*g + 5*r = 550. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2777632 bigger than -2777602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-11)*(-47 - -47). Which is the nearest to -0.4? (a) -2 (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6 - 400 = 2*w, 0 = 3*f - 5*w + 1149. What is the common denominator of (-2)\/(-1) + (-67)\/22 and (1 - f\/(-56)) + 3?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 269\/2360 + -87101\/6490. Let n = 156\/11 + y. Calculate the common denominator of n and (-2)\/(-10) - (-639)\/330.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/36 - (-19)\/(-114)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*t + 71*p - 66*p - 75, -5*t + p - 23 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 6*z + 9*z)*(1 - 4 + 1)*(-5 - 2*z + 5).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x. Let z be (-8541)\/(-15) + -3 + (-8)\/20. Let h(b) = -z*b - b**2 + 566*b. Calculate k(h(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*b - 4, 3*b = -2*o - o + 21. Let g = 184.97 - 184.67. What is the third biggest value in b, g, 33?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(12)*-3).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/11 - 819*b\/11.\nAnswer: -b*(b + 819)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7984, -15968, -23952, -31936, -39920, -47904?\nAnswer: -55888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Differentiate 3 + 3 - 4 + 3*i**s with respect to i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -12*a - 8. Let z(d) be the second derivative of -43*d + 3\/2*d**2 + 0 + 2\/3*d**3. Give -3*y(g) - 8*z(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/((-21)\/(-2)) - (-4)\/(-21) and (3\/(-45))\/(24\/(-2980)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6647 + 4818. Which is smaller: a or -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 788000 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 0.33 (b) 7\/6 (c) 1889\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14126032 (base 7) in base 2?\nAnswer: -101000001101111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3 - 0) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a**3 + 34*a**3 + 0*a + 7*a - 7*a.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4)*((-1 - 1) + -8). Let a(d) = -30*d + 3. Let g(r) = -15*r + 1. Let p(k) = b*g(k) - 3*a(k). Differentiate p(q) with respect to q.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.208624g to tonnes.\nAnswer: 0.000002208624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 10:07 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-102)\/340*(-5)\/(-6)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -8. Suppose 5*s - 4*r + 33 = -r, 4*s = j*r - 29. Let l(z) = z + 8. What is the units digit of l(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 582\/7 - 83. Let a = -4.53 + 0.56. Let v = a - 0.03. Sort v, -1\/3, y.\nAnswer: v, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 11474*m - 198. Give x(0).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m + 33*m - 47*m = 129 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxmrmmlmxaxtmtxmx. Give prob of picking 1 l and 1 a.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 135 - 21*z + 105 + 88 + 8*z - 346 - 4*z**2.\nAnswer: -4*z**2 - 8*z - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryirirbliiurrruyl. What is prob of picking 2 r?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4919 to two decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -129, 0, -2 in descending order.\nAnswer: 0, -2, -8, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 13*t**2 - 21*t - 64. List the prime factors of m(-14).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 5:07 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1940 + -1944)\/(((-476)\/(-236) + -2)*-2).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046447003 rounded to four decimal places?\nAnswer: 0.0464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1868254 + -601577. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v + 15*v - 2*v - 5*v + 10*v.\nAnswer: 33*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -39.736.\nAnswer: -39.736, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 7413312.5 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 18, 3\/4, 2, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (96\/(-240))\/((-2)\/1490 + 0) is divided by 53?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/14)\/(4\/(-308)*-11)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1323439*f**3 + 3821153 wrt f.\nAnswer: 3970317*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 22*h - 43. Calculate i(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2331985 and 159725?\nAnswer: 11659925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**2 + 6*v - 2. Let p be 14\/(-7)*-3 + -10. What is h(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 319352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1894537435143 and -443.\nAnswer: 1894537434700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34, 124, 286, 526, 850, 1264, 1774, 2386?\n\"Answer: t**3 + 30*t**2 - 7*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6198820 to the nearest 100000.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -62. Find c such that -c**2 - 5*c**2 + 2*c**2 + 3 - x*c + 17 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/1 - 0)\/1. Let w = o + -3. Let y(h) = -2*h**3 - 29*h**2 - 105*h + 5. Let q be y(-7). Solve -w*p + q = 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-261)\/27 + 6 - -2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57687 or 57684?\nAnswer: 57687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 1 - (20 + -22). Put -4, -22, u in descending order.\nAnswer: u, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2245 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let m be 5\/15 - 10\/3. Let n = -3 - m. Let c be f(n). Solve c = -b + 2*w + 8 + 1, -3*b + w = -2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(1900) + 1) + -6*(0 + sqrt(1900)))*-2*-4)**2.\nAnswer: -11520*sqrt(19) + 1094976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 617*q - 1980. Let o(c) = -1237*c + 3951. Let j(x) = 5*a(x) + 3*o(x). Differentiate j(l) wrt l.\nAnswer: -626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(1 - (0 + -60)). Suppose m = 10*i + 73. Calculate the greatest common factor of i and 484.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11101*0.1\nAnswer: -1110.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 50 - -3 - (1 - (1 + 2)). Let t = 51 - y. Is ((-3)\/12 + 1)*(t + 60) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1485*g + 64*g + 442*g - 375*g + 1160*g to s + f*g and give f.\nAnswer: 2776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**3\/3 + o**2\/2 + 3*o + 3. Let x be s(0). Find the common denominator of -103\/18 and x + -3 + (-54)\/40.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138 - 141. Let u = 62\/145 + 5\/29. Which is the closest to 0? (a) v (b) 0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2539*y - 2311. Let x(t) = 2584*t - 2311. Let n(c) = 2*g(c) - 3*x(c). What is the first derivative of n(z) wrt z?\nAnswer: -2674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3339 + 9029 - 1634 - 1298)*(2*i - 3 + 3) as c*i + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g. Let t(p) = 4*p + 1753*p**2 + 1666*p**2 - 3462*p**2. Give 4*f(i) - t(i).\nAnswer: 43*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 1, e: 1, q: 1, g: 1}. What is prob of sequence wqe?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -1a2?\nAnswer: 1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 131*c + 1017. Let b be p(-7). Factor 0*i - 2\/11*i**3 - 4\/11*i**b + 0.\nAnswer: -2*i**2*(i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 23. Suppose 2*a - r = -a. What is the derivative of -a - 33*l**3 - 35*l**3 + 66*l**3 wrt l?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 23*p**2 + 3*p + 70. Let w be x(-23). Which is the closest to 1? (a) -1\/3 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4)\/((-2)\/4). Suppose -u*n + 5*b = -159, n - b = b + 54. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2943.810396 - -2943.9. Round m to 3 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 71, -2\/11?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1 - 60*v + 0 + 224*v. Let u be b(1). Find the common denominator of -73\/14 and 1\/(-2) + u\/24.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 2}. What is prob of picking 3 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*i - 10, -4*i + 14 = 3*o - 12. Suppose s = a + 2 + 6, -o*s - 4*a = -34. Calculate the remainder when 56\/(-6)*(15 - 345\/20) is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/33292 and -29\/63.\nAnswer: 299628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-63 + 10)\/(36\/(-8784)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38639 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1446079.\nAnswer: 23, 62873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -97*i**3 - 2*i**2 + i + 1. Let g be p(-1). Let n be 2*(g\/(-30) - -3). Let r = 46 - 45. Which is the nearest to n? (a) 2\/5 (b) -7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7805, -15530, -23279, -31052, -38849, -46670, -54515?\n\"Answer: -12*m**2 - 7689*m - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Suppose -y*n + 0*b = -2*b - 22, -5*b - 47 = -4*n. Solve n*x - 3*x = -25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/7756 and 75\/2068082?\nAnswer: 28953148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w**2 + 3*w + 3. Let u be i(-2). What is the common denominator of 6\/u + (-114)\/56 and -97\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -175 - 215. Suppose -5*b = 20 - u. Let w = -27 + b. Is w at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.7 in -0.28, 3\/4, 6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*h + h**3 + 22*h + 35*h + 3*h**2 + 60 - 121 + 60 wrt h?\nAnswer: 6*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(5 + -4))\/((-3)\/(-27))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2. Let a(q) be the first derivative of -1\/6*q**3 + 2*q + 2 + 0*q**2. Let o(p) be the first derivative of a(p). What is n(o(x))?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15718 - 15704 = -2*t - 3*d, -3*t = -3*d - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 d when four letters picked without replacement from dddiddiddiddddd?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*a + 3, -3*t + 12 = 2*t - a. Suppose -4*y + t*g + 184 = -g, 2*y - 83 = 5*g. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -374 + 625. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 0.08 (c) 1\/39 (d) -5\/3 (e) -621\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 5. Let k be p(-6). Let j = 77 - 60. Let s = -23 + j. Which is the nearest to s? (a) 0.5 (b) 3\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/(-68))\/(35\/(-10) + 2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 898\/9 + -100. Let o = 0.98 - -0.02. Let b = -110 - -113. What is the nearest to 3 in o, h, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 213 = 203 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 164 + -163.99816. Round m to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111825753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lihallalhajluja. Give prob of sequence il.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 + 54 + 34*c + 60.\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 104110?\nAnswer: 104113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.247 - 2.753. Which is the third smallest value? (a) -0.3 (b) t (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204924.8773 rounded to the nearest one hundred?\nAnswer: -204900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -396*p**5 - 4322*p**4 - p**3 - 37*p**2 - 130*p - 61?\nAnswer: -23760*p**2 - 103728*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 3*u - 7*u = 244, -1893*u - 150 = -3*o - 1891*u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 8:29 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 1613, 5395, 12729, 24791, 42757, 67803?\nAnswer: 101105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - (-174 + 168 + -16 + -1)) + 142\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2736)*2 - sqrt(2736))*-4)**2*-5 + 5*-1*sqrt(2736)*3)*-3.\nAnswer: 540*sqrt(19) + 656640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g - g = -180. Suppose -3*q + 8 = -5*q - 5*m, -3*q + g = 2*m. Solve -10 = -2*r - q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/20*-1 - (-72)\/90. Let t = -236 + 7320\/31. Which is smaller: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.8 in 4, 2, 0.096?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-221*i**3 + 309*i**3 + 35 - 31)*(-3*i - i + i) to v*i**2 + q*i**3 + l + b*i + r*i**4 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + 21 - (92 - 86).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*p + 10 = -p - 0*p - 6*p, -29*p = -4*q + 120 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-920)\/16)\/(-23)*84\/(-966)\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -482 - -490. Let y(r) = 2*r - 26. Let s be y(11). Let l be 3 + -6*s\/(-8). Solve l*i + 12 = i + 5*v, -5*i + v + g = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -308 divided by 77\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 927*g**5*j + 2392*g**3*j**2 - 17*g**2 + 39*g*j - 2*j**2 - 21 wrt g.\nAnswer: 55620*g**2*j + 14352*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74672*b**5 + 2258*b**2 - 10?\nAnswer: 4480320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/9 in -0.2, -2454, 0.2, -2\/139?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 - 2*h**2 - 31)*(-4*h**2 + h**2 + 2*h**2) + 161*h**3 + 2*h**4 + 0*h**4 - 36*h**3 as w + f*h**2 + t*h**4 + u*h + d*h**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3386000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 718228 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/11)\/(x\/x**(-3\/2))*(x**(-1\/4)*x)**(26\/5) assuming x is positive.\nAnswer: x**(87\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g - 2*g - 104 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -370 - -354. Let a be (b\/10 - -2)*(54 - 34). Solve -8 = a*l - 24 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(75) + sqrt(75)*-1*1 + 2*1*sqrt(75) + sqrt(75) + -2*(sqrt(75) - -1*sqrt(75) - sqrt(75) - sqrt(75)) + sqrt(75))**2*3 + 0.\nAnswer: 600*sqrt(3) + 3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/2 (b) -0.05 (c) 2\/7 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6612222 - 172*j - 6612222. Let a(p) = 5*p. Give z(a(r)).\nAnswer: -860*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/233415 and 23\/259065?\nAnswer: 23574915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3 - -2.3105. Round i to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 5*v + 19. Let o = v - -18. Solve 0 = -8*t + 3*t - o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280193178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1137, -11, 168, -3 in decreasing order.\nAnswer: 168, -3, -11, -1137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1976 divide 15415678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p + 32430. Let r(y) = 4*y. Calculate r(a(u)).\nAnswer: 12*u + 129720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 45*w + 2470 = -34*w for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -13. Let f = k - -5.1. Does f = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbbbbbbbbmbb.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -102*s - 12*s - 66*s + 47*s - 54*s - 9*s - 38 + 38 - 3*s + 2*s + 2*s + (5 - 5 - s)*(4 - 4 + 2).\nAnswer: -197*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/(-260) + 12\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (199\/(-3582))\/(0 + 8\/(-18)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 497*d - 1300*d - 10439 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 1\/4888 (c) 0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-400)\/(-30))\/((-5)\/((-45)\/6)). Suppose 3*n = 2*f + j, -2*n - 4*f - 12 = -n. Solve -q + 4*u - u = 12, 16 = n*u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1525 + -1081. Let z = x + -108. Is z a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 51, 47 in decreasing order.\nAnswer: 51, 47, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 54\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**0*g)\/g*g)\/(g**(-7)\/g)*(g*g*g*g**5*g*g)**(-1\/66) assuming g is positive.\nAnswer: g**(325\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-5)\/(-600) - -4. Let v(g) be the third derivative of -g**2 - 1\/2*g**3 + 0*g + 1\/30*g**5 - x*g**6 + 1\/12*g**4 + 0. Give v(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -20*h + 923. What are the prime factors of l(35)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-1) + 63\/21. Suppose -3*o + y*g + 381 = 0, -4*o + 4*g + 705 - 197 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10815?\nAnswer: 3, 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/246 and -44\/15.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6826450807?\nAnswer: 11, 23, 4621, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1982, 2063, 2220, 2453, 2762, 3147?\nAnswer: 3608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 7*c**2 + c - 12. Let g be k(7). Let h = 39 - g. Does 22 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 2) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j**4 + 3474850*j**3 - 1158345*j**2 - 13899400*j + 4633140 = 0.\nAnswer: -231657, -2, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1649)\/6596)\/(11\/(-104)) - (0 - -1*2)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 9*v - 5. Let d(r) be the second derivative of 0 - 1\/2*r**2 - 1\/3*r**3 - 5*r. Calculate 9*d(o) - 2*z(o).\nAnswer: 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 1084.\nAnswer: 37940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z + 5*n + 59, 4*z - 2*n + 94 = 0. Let g be (-6)\/4*(-4)\/z. Let f = -5 + 10. What is the second biggest value in g, f, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -1)*(-4 + 2). Let s(d) = d**2 + 9*d - 14. Let z be s(-11). Let c = z - 5. Solve 7*r = c*r - x*w, -w = 5*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10*(-3224)\/5270)\/((-12)\/102)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(11)*-2 - sqrt(11)) + -5 - sqrt(539)*1) + -2 - (-3 + sqrt(891) + (sqrt(891) + 0)*-3 + 1))**2.\nAnswer: -16*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 152 (base 6) to base 9\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)*m)\/(m*m**(2\/7)*m))\/((((m*m**(1\/5)\/m*m)\/m)\/m)\/m**(1\/4)) assuming m is positive.\nAnswer: m**(-313\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096057021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - 2*o**2 - 6*o + 3. Let b(a) = 239*a + 13. Let n(l) = -53*l - 3. Let u(w) = -2*b(w) - 9*n(w). Calculate -k(t) + 3*u(t).\nAnswer: -2*t**3 + 2*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10.529 - 0.785\nAnswer: -11.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2194 is divided by 344?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6190 by 1238.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-206)\/((-111034)\/847)*(-4)\/(-2)\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122065?\nAnswer: 5, 24413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 600900, 1201796, 1802692, 2403588, 3004484?\n\"Answer: 600896*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2 + j + 4. Let q(g) = 11*g**2 - 4*g - 12. Let w(n) = -8*m(n) - 3*q(n). Suppose -3*f + 2*x - 16 = -5*f, 4*f + 5*x - 35 = 0. Calculate w(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*-2854.4.\nAnswer: -3996.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 3:11 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -4, -0.4, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(90)\/sqrt(2))\/(sqrt(1089)*-1 - sqrt(1089)) + -4 + 3 + -2*sqrt(20)\/sqrt(4).\nAnswer: -25*sqrt(5)\/11 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**1)*p)**37*(p\/p**10*p)\/p*p\/(p*p\/(p\/(p**3*p*p))))**(-1) assuming p is positive.\nAnswer: p**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2192201299 to the nearest integer?\nAnswer: 46821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1242.651 + -1242. What is r rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351*f = 108 - 25 + 268. Suppose -2*q + u - 51 = 0, -4*u + 37 = -2*q - 29. Let d be 3\/12 + q\/(-52). Which is smaller: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-718507.3.\nAnswer: -3592536.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llj when three letters picked without replacement from lrknjrlxj?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 6:17 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 2*c**2 + 150*c + 79. What is the least common multiple of m(-11) and 4100?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 116, 0, -21\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r**2 + 10*r + 8*r**2 - 10*r.\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/714756 and -71\/204216.\nAnswer: 1429512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or 481?\nAnswer: 481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155076?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 + b**5 + 2*b**5 + (-b**2 + 5*b - 5*b)*(2*b**2 - b**2 - b**3 + 3*b**3).\nAnswer: -b**5 - b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvh when four letters picked without replacement from vhvhv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 1099*d + 39690.\nAnswer: -(d - 35)*(d + 1134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from rhikkhuhh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 10. Let w be c(-7). Suppose -w*j = -j + 15. Let s = j - -6. Let r(z) = z - 2. Give r(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17979584 to the power of 1\/2, to the nearest integer?\nAnswer: 4240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1039 by -139.\nAnswer: 1039\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -893 + -307. What is the smallest value in -6\/7, q, -4\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -4, 5*i - 19 = -4*g - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.094 and -17451?\nAnswer: 17451.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y*y**9*y)\/y*(y\/(y\/(y*y**(-28)\/y)))\/y)**(-7\/5) assuming y is positive.\nAnswer: y**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-400082)\/(-4) + (-35)\/70 - -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 232 + -348. Let p = x + 9. Let s = -36 - p. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1412057, 1411971, 1411829, 1411631, 1411377, 1411067, 1410701?\n\"Answer: -28*m**2 - 2*m + 1412087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 43*o**6\/6 + 7*o**5 - o**4\/2 + 52*o**3\/3 - 9*o + 3567. Find the third derivative of k(r) wrt r.\nAnswer: 2580*r**2 + 840*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**5 - 2715800*m**4 + 5431616*m**3.\nAnswer: -4*m**3*(m - 2)*(m + 678952)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*d + k, 4*d + 15 = -k + 6*k. Let r be (d\/(-10))\/(0 + 2). Let u = 150 + -153. Which is bigger: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35897561 divided by 301?\nAnswer: 119261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 269535030 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: Simplify ((sqrt(234)*-4)\/sqrt(6) + 6*-2*sqrt(39))\/((sqrt(363) + (sqrt(363) + sqrt(363)*1 + sqrt(363) + sqrt(363))*-2 + sqrt(363))*1).\nAnswer: 8*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014364 rounded to six dps?\nAnswer: 0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 42*x + 3928. Let l(i) = 8*i**2. Give y(l(r)).\nAnswer: 336*r**2 + 3928","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 8. Let c be k(6). Let x(y) be the third derivative of y**4\/24 - 2*y**3\/3 - y**2. Let i be x(4). Sort c, 4, i in increasing order.\nAnswer: c, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60592348613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**4\/4 + 5*z**3\/3 + 2*z**2 + 21*z + 91. Let x be d(6). Solve -x*c + 11*c - 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10530*r**3 + 3633*r**3 + 3445*r**3 + 3448*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4412 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32628049 is divided by 1846.\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.51 + 18.01. What is the closest to 0.1 in -0.3, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/(-18)*160\/(-100)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*y - 13, 864*b - 36 = 4*y + 856*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(15\/(-6) - -3). Calculate the highest common divisor of 36 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -108 (base 14) to base 9.\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 0.045343669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (-3)\/(15\/(-20)) + 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19935 = 36*q - 35865. What is the greatest common divisor of 200 and q?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2))\/(g*g\/(g*g*g**14)*g)*(g**4)**(2\/9) assuming g is positive.\nAnswer: g**(116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 17*v**2 - 18*v + 12. Let t = -1907 + 1923. Give w(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 2:33 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -z - 6 + 14, -5*l = -9*z + 6*z - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111\/8 + -14. Suppose 11*i = -17*i - 28. Let h be (i + (-13)\/(-10))*75\/90. What is the third smallest value in 2\/3, -0.08, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/((-1554)\/(-189)))\/(6\/8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*d + 177296 = 0, 3*x = -2*x - 5*d + 221630. Suppose 12*l + 33*l = x. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20973 + 21024. Which is greater: -26 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*z = -4*n - 392, n = 2*z - 380. Suppose 0 = -3*h - 173 + z. What is the nearest to -0.2 in 8, h, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130784222 = 130784222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3892, -34, -3\/5, -12\/11 in increasing order.\nAnswer: -34, -12\/11, -3\/5, -0.3892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -384 - -392. Solve 2*l = h - 15, 5*h - i = l + 22 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 439 - 421. Find the second derivative of -119*n + i*n**4 - 31*n**2 + 29*n**2 + 11*n**4 wrt n.\nAnswer: 348*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1131, -5 in ascending order.\nAnswer: -1131, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00033256 rounded to 5 dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9092 - 63648\/7. What is the smallest value in -3\/2, x, -0.25?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -24. Let d = -3 + -2. What is the nearest to -1\/4 in m, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3\/2 + 227317*m**2\/2 + 454653*m\/2 - 3409785\/2 = 0.\nAnswer: -5, 3, 227319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2977762 is divided by 745.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31 from 0.5.\nAnswer: 31.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcbx when four letters picked without replacement from ceecvxecbeccxecccxcc.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002801 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5692.9 - 6045. Let z = 352 + l. What is the third biggest value in z, 2\/87, 5, 3\/8?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19992 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1144, 4, -100, -5.\nAnswer: -100, -5, 4, 10, 1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 14*a + 71. Give c(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4056*-5.\nAnswer: 2.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h - 77. Let x(w) = 3*w. Determine m(x(c)).\nAnswer: 15*c - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.16 - 0.04. Let z = r + 0.176. What is z rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (5 - (1 + 2)). Suppose -o*r = 3 + 15. Let n be 1\/4 - r\/12. Is -1\/9 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.44141 and -61.\nAnswer: -53.55859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - u. Let o(j) = -7 - 10*j + 4 + 2 + 2*j**2 - 4 - j**2. Let d be o(u). What is the second smallest value in d, -3, -1, -0.12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/310019473?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2047 = -100746*s + 101053*s - 4144 + 358 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*b**2 - 60*b**2 - 67*b**2 - 186 - 1886.\nAnswer: -3*b**2 - 2072","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7488231 kilograms in grams?\nAnswer: 748.8231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 44*l - 470. Solve h = b - 4, -5*b = -3*h - 0*h - l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -o - 5. Suppose 5*x = -o + 32. Suppose 0*i - 5*i - s = -137, 0 = 5*s + 15. Solve -x*v - 1 = -2*p + 1, -i = 5*p + 4*v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/3)\/k*k**(-4)*(((k*k**0)\/k)\/k*k)**(-44) assuming k is positive.\nAnswer: k**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 526, 556, 588, 622, 658?\n\"Answer: b**2 + 27*b + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 - 22?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111607 + 0.\nAnswer: 111607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -149987130 divided by -172399\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1361 + -1355. Let a(r) = 4*r - 6. Let s(m) = -m + 1. Determine d*s(w) + a(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -0.4309.\nAnswer: 5.1708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 331336*m**4 - 905350*m**2?\nAnswer: 7952064*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyyhyyyghgehy. Give prob of sequence ey.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/9 - 2922\/(-27). Let u be 186\/a + 2\/(-9). What is the second smallest value in u, 2\/5, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 0*m + 5*m - 3*m - 1. Let s = -1 + -5. Let h(o) = -o**2 - 7*o - 4. Let g be h(s). Give y(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10 - 64166*y + 1 + 64159*y. Let f(v) = -3*v - 5. Determine -9*f(i) + 4*w(i).\nAnswer: -i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/73866803 or 1?\nAnswer: 2\/73866803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4 = 2*r, 1 - 3 = 3*i + r. Let y be 1 + 3 - (i + -1). Let l(j) = j**3 - 5*j**2 + 2*j - 1. What is the remainder when 16 is divided by l(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 + 28 + 8 + 1 + 88?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(204)*-6 + sqrt(204))\/(sqrt(84)\/(sqrt(7) - (sqrt(7) - (sqrt(7) + -5*sqrt(7))))).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6564.26 and 9?\nAnswer: 6573.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**5\/21 + 2*m**4\/3 - 38*m**3\/21 + 50*m**2\/21 - 32*m\/21 + 8\/21.\nAnswer: -2*(m - 2)**2*(m - 1)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1314779 (base 10) to base 2\nAnswer: 101000000111111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252455336.\nAnswer: 2, 7, 59, 109, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 395584*z. Let m(c) = 382*c**2 - c. Give m(j(u)).\nAnswer: 59777919803392*u**2 - 395584*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*s**3 - 33047 - 27*s**3 - 7*s**3 + 16526 + 16521.\nAnswer: -77*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 4*t + 0*t)*(-18 - 8 + 5)*(1 + 4 - 3) + 1 + 0 - 5*t + 3*t to the form i*t + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232 and 1073?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.322 and 0.4?\nAnswer: -0.1288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136767162 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 8. What is the remainder when 49 is divided by l(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, -89, -195, -309, -425, -537, -639?\n\"Answer: g**3 - 13*g**2 - 60*g + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -15*p**3 - p**2 - 7*p - 7. Let l = 632 + -636. What is the units digit of g(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.138 in 2461, 1, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/7*j + 2\/7*j**2 + 2\/7 = 0. What is j?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 881444.1ml in litres?\nAnswer: 881.4441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 539 - 309. What is the greatest common factor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 8*r**2 + 9*r + 5. Let q = 9 + -18. Let f be u(q). Solve -f*a - 17 = 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*h**5 - 5*h**5 + 10*h**5 + (h**4 - 1 + 1)*(-h + 5*h - h))*(15 + 7 - 5)*(1 + 3 - 3).\nAnswer: 340*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -132\/7 (b) 155\/73 (c) 2\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6486.\nAnswer: 2, 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(90)*-1*2)\/sqrt(3))\/((sqrt(6) - (-1*sqrt(24))\/sqrt(4)) + sqrt(6) - sqrt(726)*1).\nAnswer: -5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 384769327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -39*x**2 + 4*x + 1. Let p be z(0). Which is bigger: p or -814?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5085)\/2373 - (-423)\/21\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Suppose -m*b = -0*b. Suppose b = 5*l - 135 - 865. What is l rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123907754999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23103 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 9070.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -5, 0.2, -3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 37*z + 7. Calculate the remainder when 1623 is divided by r(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-670)\/(-8) + 2\/8 - -2. Let x = 119 + t. Does 41 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 31 - 71 = 0. Solve d*r + 7 = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (500\/(-25550)*(-7)\/(-4))\/(15\/(-12)).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3*(-40)\/(-4905))\/2. Suppose -61 = -42*v - 19. Which is bigger: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 13, -2.7, 0.4, -4?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h*o**3*y**2 - 3*h*o**2*y - 3*h*o**2 + 3*h*y**2 + 3*h + 2*o**3 + 3 wrt y.\nAnswer: -8*h*o**3*y - 3*h*o**2 + 6*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.87957 to two dps.\nAnswer: -5.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31208*g + 260 = -31143*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1669998*i**2 - 3*i - 1. Let x be b(-1). Round x to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -22. Suppose -f*u = -11*u. Suppose -3*s**2 + u - 3 + 6*s - 2*s**2 + 2*s**2 = 0. What is s?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*f - 42, -3*f - 2*f - 15 = -d. What is the smallest common multiple of 3 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76 (base 8) to base 10.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8700 by -2.\nAnswer: -4350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-624)\/(-18) - (-11)\/33*1. Suppose -196 = -q - 3*q. What is the greatest common factor of q and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4230)\/330*(-154)\/(-42).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)\/x)\/x**(-3\/22)*x**(-1\/44)*x\/x**(6\/11) assuming x is positive.\nAnswer: x**(-63\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134*q - 2 + 8 - 68*q - 65*q + 1 - 48*q**2 to n + v*q + y*q**2 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(i - i + 3*i)*(-2 + 1 - 1).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 215, 940, 2143, 3818, 5959, 8560?\n\"Answer: -v**3 + 245*v**2 - 3*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3 - (-6)\/9. Let q be (-2 - (z - 2))\/(-4). Suppose 0 = -0*m + 2*m - 6. What is the nearest to 0.1 in -0.2, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -5319b?\nAnswer: 531a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**4\/20 - 16*l**3\/3 + 160*l**2 + 772. Factor z(h).\nAnswer: h*(h - 40)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l - 8 = -4*m, 2*m - 10 = -4*l. Let a = 10 + -8. What is the smallest common multiple of l and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3443 - (-24 + (7 - -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*t**3 - 1919570*t**2 - 2*t - 107071880 wrt t.\nAnswer: 36*t**2 - 3839140*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 9*q. Let d(o) be the first derivative of 0*o + 0*o**3 - 2 + q*o**2 + 2\/5*o**5 + 1\/2*o**4. Let d(p) = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 122 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6550202.\nAnswer: 2, 17, 47, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118 - -346. Let d = 515 - 373. Let n = m - d. What are the prime factors of n?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110101110011 (base 2) to base 12.\nAnswer: 912b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 6*b**2 - 3*b - 2. Let l be f(-6). Suppose -4*o = -l, -5*m + 3*o - 18735 = -1163. Let g = m - 2988. What is g rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21304838*v**2*w**2 - 1414*v**2*w + 1449*v + 3*w wrt w.\nAnswer: -42609676*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5399000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34027452421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/5, -3, 2, 3894 in increasing order.\nAnswer: -3, -2\/5, 2, 3, 3894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5571 = -15*d - 786. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g = 42*g + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82 + (104 - 124 - -45)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -3\/4, -31\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -150 - 2040?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4 = -3*y. Suppose -i + 0*t + 23 = 4*t, 5*i - 5*t + 10 = 0. What is the remainder when y is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 0, 0 + 4 = d - 4*r. Calculate the smallest common multiple of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*z**3 - 77*z**3 - 147*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {m: 11, a: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*b - 10, 4 = u - 2*b. Suppose u*z - 16 = -4*z. Suppose z*x + 50 = s, -232 = -5*s + 4*x - 2*x. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57.969 - -0.031. Let g = s + -57.9906. What is g rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -177, -4, 2, -6, -3 in descending order.\nAnswer: 3, 2, -3, -4, -6, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-9))\/((-3)\/(-4563)). Suppose -550 - 52 = 2*x. Let b = x - v. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, -2, -180472, -1\/423?\nAnswer: -1\/423","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3827091 rounded to two dps?\nAnswer: 2.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1070.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (6 - 0 - (-10 - -24))) + -16\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -2, -66, -2\/5 in increasing order.\nAnswer: -66, -4, -2, -2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 13\/829, -2 in increasing order.\nAnswer: -2, 13\/829, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**4\/12 + 10*u**2. Let g(v) = 16*v. Calculate g(b(f)).\nAnswer: 32*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/15*(75\/(-42))\/(-5). Which is the nearest to m? (a) 0.03 (b) 1\/6 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3596 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6904 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*-1 - sqrt(320)*1)\/(sqrt(250) - (-2*sqrt(250) - sqrt(250)) - (-1*sqrt(70) - sqrt(70))\/sqrt(7)).\nAnswer: -4*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 100, 366, 888, 1750?\nAnswer: 3036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**2 + 0*r**2 - 45 - 7*r**2 + 25*r. Calculate the remainder when h(21) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 36*n + 3. Let d(q) = -104*q - 8. Let k(a) = 3*d(a) + 8*f(a). Let z(b) = 43*b. What is z(k(l))?\nAnswer: -1032*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39851334.\nAnswer: 2, 3, 2213963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 + 1 + 6660*n - 2029*n.\nAnswer: 4631*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(128) - (0 + sqrt(128)))*1 + sqrt(128) + 2 + -1).\nAnswer: 3 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1293, 1242, 1167, 1062, 921, 738, 507?\n\"Answer: -o**3 - 6*o**2 - 26*o + 1326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 373 - 265. Let o be (-12)\/162 + 548\/v. Solve -o*z = 3*u - 5*u - 15, -2*u - 4*z = -12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**3 - 11*j**2 - 41*j + 41. Determine y(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588 + 2*x + 808 + x - x - 220.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/3))**(-3)*s**3\/s**(1\/7))\/(((s\/s**0)\/(s*s**(-2\/5)*s))\/(s*s\/(s\/s**(-1\/2)))**(3\/8)) assuming s is positive.\nAnswer: s**(-199\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 204441?\nAnswer: -204446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/3)\/(168\/(-378))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -16*b - 2. Let v be o(5). Let u = v - -126. Round u to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*((-4 - 4 + 5)*(4 + l - 4) + 16*l + 70*l + 2*l).\nAnswer: 170*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*8\/(-18))\/((-245)\/105).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16468 + 16469 - 32937 - 2009*k**2 to the form v*k**2 + t*k + p and give v.\nAnswer: -2009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -768 - -766. What is the hundreds digit of 574 + (y - -5)*(4 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 11*o**2 + 14*o - 23. Determine v(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 2*u**2 - 5*u - 5. What is m(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000137164 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 532593 by 6.\nAnswer: 177531\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 5:54 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.147 minus -1948856.119?\nAnswer: 1948855.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen quarters of a day?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1984777 divided by 2?\nAnswer: -1984777\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -500*h**4 + 7400*h**3 - 27840*h**2 + 40448*h - 20480.\nAnswer: -4*(h - 10)*(5*h - 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 275197503.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/45 and -73\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 4*s - 2*s)*(2 - 2 + 2*s) + 101*s - 31533 - 10*s**2 + 31533.\nAnswer: -6*s**2 + 101*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b - 1785 + 1125 = 23*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 243?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1948284)\/(-21411) + -91)*(-2 + 2\/(-2))?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*u - 5*f - 6, 2*u + 3*f + 9 = 0. Let j be (u\/(-5))\/(36\/(-120)). Let g(r) = 24*r**2 - 3*r + 5. List the prime factors of g(j).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-137.8.\nAnswer: 275.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.09 - -1.1. Let f = 0.71 - x. Let u = f + -0.6. What is the closest to 0 in -5, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3797033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 24*w = -126, 14*g - 20 = 19*g + w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (48\/20)\/(-2)*(-20)\/3. Let o(t) = 6*t**2 - 41*t - 7. Calculate the remainder when o(y) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3857 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 15*c**2 - 25*c + 872. Calculate y(12).\nAnswer: 2732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(0 + 4 - 2)*(-2 - 21 - 9 - 3 + 0 + 2 + 0 + 0 - 1 + (1 - 6 + 3)*(-1 - 3 + 5) + 1 + 0 + 1 + 5 - 1 - 2)*(0*l**3 - 2*l**4 + 0*l**3).\nAnswer: 256*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15267 divided by 1?\nAnswer: 15267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -2839, 11, -3, -1 in ascending order.\nAnswer: -2839, -5, -4, -3, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -202 - -220. Suppose 9*x + 1044 = d*x. What are the prime factors of x?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 24683197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 15 + 0 = 0. Suppose h + 2 = -0*h, 5*h = t*p - 373. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (1 - 7)) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 3*u - u + (1 + 0 + 1)*(31 - 31 - 2*u) + 2*u + 1 - 1)*(8 - 3 + 1)*(0*u**2 - 4*u**2 + u**2).\nAnswer: 180*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4563*u. Let w(h) = 2*h. Determine w(l(q)).\nAnswer: -9126*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 13*v + 0 - 3 - v**2 - 8*v. Let z be s(-6). Let r = -16 + 50\/3. Put r, -4, z in increasing order.\nAnswer: -4, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 243 + -149. Let l = k + -93. Let p = -5 + 10. Which is the nearest to 1\/3? (a) l (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjmm when four letters picked without replacement from jjmpmjjoymopy.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77253478 * -0.3.\nAnswer: 23176043.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a = 18*a - 34000. Let y be (-603 + 3)\/((-33994)\/a + -5). Round y to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxxxxxxxxyxx?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(143)*-1 - 1*sqrt(143)*3)\/(((sqrt(11) - sqrt(66)\/sqrt(6)*-5) + sqrt(11) - sqrt(11))*5).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/11 (b) -16072 (c) 4 (d) 5 (e) -2\/17 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11674675 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 360 + -5398\/15. Which is greater: u or 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 518.7 times -1035\nAnswer: -536854.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 23*z - 59. Let u be x(-18). Let o(n) = 24*n**2 + u*n - 23*n**2 - 29*n - 4. Calculate o(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246466529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3605*j**2 - 4 + 0 - 2*j + 25293*j**2 + 2.\nAnswer: 21688*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*b + 82419, -5*b = 5*c - 41707 - 95718. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41 + 36 - 25)*(-60*v - 53*v - 2 + 116*v) + (-1 + 1 - v)*(1 + 4 - 6) to the form q + a*v and give a.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, n: 1, r: 3, x: 2}. What is prob of sequence xxr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + 0. Suppose -16*x + u*x = -70. What is the highest common divisor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-2)*(-40)\/15. Suppose 3*m = -0*m + 36. Let v = -7 + m. Which is smaller: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b**3 - 167*b**2 + 499*b - 11. Give a(3).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1416 in 3\/5, 12, 48?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -32, 1\/3, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -2)\/((-52)\/6344). Suppose v = -3*i + 4*x + 155, 4*i + x - 44 = 0. What is the highest common factor of i and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5995 - 5995.21. Do 0.12 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - 5*h + 2*h + h. Let z(w) = 4*w. Let o(p) = 22*q(p) - 6*z(p). Let d(b) = 3*b. Determine d(o(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24193523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101059696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6967757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0555 + -0.4285. Let k = t - -0.043. Let i = 7.33 + k. Which is smaller: -0.2 or i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 7*s - 130. Does 6 divide 14\/(-56) + s\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - 376118687\nAnswer: -376118704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(58*55\/(-51040))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**2 - 88*p - 130. Give i(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**6\/39 - 30*g**5\/13 + 159*g**4\/26 + 758*g**3\/39 - 462*g**2\/13 + 3723. Solve j(h) = 0.\nAnswer: -77, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + -91. Which is the nearest to 0.2? (a) -5\/2 (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 3) + (-3)\/(-5). Let f be 2*5\/4 + -2. Let a = 0 + 0.3. Sort a, f, i.\nAnswer: a, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144*c**3*s**2 - c**2*s**2 + 29*c**2 + c*s**2 wrt c?\nAnswer: -864*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 32, 32, 24, 8, -16, -48?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h + 4*c - 4, -c - 23 = -5*h. Suppose -3 = h*k - 23. Solve 0 = -k*s - 4*r, -5*r = -2*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6686 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 293959621847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 11468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -579, -542, -499, -450, -395, -334, -267?\n\"Answer: 3*j**2 + 28*j - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -49.01*0.4\nAnswer: -19.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 - 4*l**5 + 4*l**5 + (-l**2 + l**2 - 2*l**2)*(3*l**3 - l**3 - 4*l**3) + 0*l**5 - l**5 + 2*l**5 + (5*l**4 - 5*l**4 + l**5)*(1 + 2 - 1).\nAnswer: 9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + 3224*c - 29202. Determine i(9).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -9 - 67\/(-13)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 932351\/51 - 18282. Calculate the common denominator of q and -65\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10805 divided by 3\nAnswer: 10805\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*v - 92*v - 3626 = 57*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7094*t - 766275. Give n(108).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 e when four letters picked without replacement from {x: 3, r: 8, e: 6, p: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 + (-11)\/(110\/(-136)). Factor 9 - 78*k - 43*k - 3*k**3 + 227*k + r*k + 123 + 21*k**2.\nAnswer: -3*(k - 11)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -14.\nAnswer: 13\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2106*y + 1817. List the prime factors of i(10).\nAnswer: 22877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1685552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 406, -1377, -6152, -15395, -30582?\nAnswer: -53189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7207.522 days to microseconds.\nAnswer: 622729900800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188 by 3580.\nAnswer: 47\/895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-217*s - 181*s + 267*s)*(-3 + 0 + 2) as d + v*s and give v.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = -2*u + 36, -2493 = 2*u - 3*l - 2501 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -9*c**3 + 731*c**2 - 160*c - 155. Calculate x(81).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r + 4647 + 903. Let h = -531 - r. What is the remainder when h is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3258 is divided by 981?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1720 - -1746. Let a be 23\/1 + 2 - 2. Do a and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18469\/84 at most as big as 220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjq when three letters picked without replacement from {g: 8, c: 4, m: 4, j: 1, q: 2}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 14*f = -7*f - 10*f - 413 for f.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y + 46. Is 14 a factor of a(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -7*i**4\/24 + 4*i**2. Let w(m) = -m**2. Determine t(w(g)).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {r: 1, g: 1, z: 1, q: 6, c: 1, m: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6335*i**2 + 90*i**3 + 5*i**4 - 6335*i**2 = 0. What is i?\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 2002 (c) -81\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 855.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*-2*sqrt(1078)*-5)\/((sqrt(32)\/(sqrt(8)\/sqrt(2)))\/sqrt(144))*1.\nAnswer: 2100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (288\/320)\/(6\/(-10)) - 1.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.2 (c) 20 (d) 14.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2637350 and 89\/135?\nAnswer: 71208450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1262 * -455\nAnswer: 574210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 6*a + 3. Suppose 84 = 3*w - 6. Suppose 4*u - w = -s - 2*s, 0 = -2*s + 2*u + 6. What is the units digit of x(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62156957, -124313913, -186470869, -248627825?\nAnswer: -310784781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 2, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3657*z**3 - 3*z**2 - 3742*z**3 + 3*z**2.\nAnswer: -85*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-15))\/(-7*(-1)\/7)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4793280 take away 18?\nAnswer: -4793298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35673.0024857 + -35673. What is u rounded to four dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -4 - -3 - (4 + 6 + -9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*(2 + -10). Let p be -3 - 1\/(d\/44). Find the second derivative of -5 - 6 + 7*k + p*k**2 + 11 wrt k.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5 = n - 3, -3*l - 3 = 0. Let i = 1139\/8 + -141. Let x = i + 1\/40. Which is the smallest value? (a) -0.5 (b) x (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 12*c + 4*c**2 - 5*c**2.\nAnswer: -c**2 + 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7740316.073 rounded to the nearest 10000?\nAnswer: 7740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000113 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, -5\/3, 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 3*k - 3*k - 3*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u\/(u*u*u*u**12*u)*u*u*u)\/u)*u**13 assuming u is positive.\nAnswer: u**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -b + j - 13, 0 = 2*b - 4*j - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*55\/44*(-10)\/15.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 4*n + 4*n)*(-47 - 110 - 13)*(-2 + 0 - 1).\nAnswer: 3060*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3. Suppose 5*o = 10*o - 15. Suppose o*h - h - 2 = u. What is the highest common divisor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872)*-1 - sqrt(1872)) + 2 + ((2*sqrt(13))**2 - sqrt(13)))*-2.\nAnswer: -108 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 15180?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.09 + -0.09. Let w = j - 6.84. Let n = w - 3.06. What is n rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -803*d*h*n**3 - 7*d*h*n + 3*d*h + 4680*d*n**3 + 9*d*n - 7*h*n**3 - 1899*h*n**2 + 2*h - 3*n**2 wrt n.\nAnswer: -4818*d*h + 28080*d - 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*f + 10 = 0, -5*f - 19 = -0*r - r. Let i be (-52)\/(-18) + (-1368)\/1539. Solve -r*o - 5*x - 9 = -i*x, o - 5*x = 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -1. Let z = -13 + r. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86873 is divided by 148?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 12 + 2)*(v + 0 + 4 + 0).\nAnswer: -23*v - 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -218 - -36. Let i = d - -188. Suppose 4 = c - k, 2*c - 4*k - 3 = 3. Put c, i, -2, -1 in descending order.\nAnswer: i, c, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**6\/120 - y**5\/15 + y**4\/6 + y**3 + y**2. What is the units digit of z(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -328 - -4262\/13. Suppose -44 = -2*q - q + 5*r, 3*q - 3*r = 36. What is the third smallest value in -1, q, h, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifteen quarters of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.8871 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/12*(-2)\/(-4)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 15605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*f**2*p - 7*f**2 + 86*f*p + 2*f + 19*p wrt f?\nAnswer: -110*p - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.35? (a) -1 (b) 12 (c) -1897\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1005\nAnswer: 1\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + ((1912\/316)\/2)\/(-3). Let y = -1025\/237 + t. Calculate the common denominator of y and -17\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*d = 9*p + 545, -2*d = 3*p + 408. Is 1\/6*-9*p a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13714, -27050, -40046, -52702, -65018, -76994?\n\"Answer: 170*n**2 - 13846*n - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(19) + 0) + -5)**2 + -3.\nAnswer: -40*sqrt(19) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/5 (b) -2\/5 (c) -1\/2 (d) 3 (e) -53 (f) -0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1030 divide 4258559720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 810*x = 1190*x + 7320 + 8260 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26831 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y - 8. Let a be g(2). Suppose -a*j + 11*j - 360 = 0. Suppose 0 = 4*n + j + 4. Which is greater: n or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:58 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 161*b**3 - 29*b**2 - 31*b + 62. Determine f(-2).\nAnswer: -1280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, r: 3, d: 1, w: 11}. Give prob of sequence rdq.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -2370 - 1374. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**3 + c**2 - c. Let a be h(1). Let v be a\/1 - 20\/10. Let z(i) = 3*i**2 + v*i - 4 - i + 8*i**2 + 5. Calculate z(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c + 11*c + 126 - 126. Let u(z) = -4*z - 17. What is b(u(q))?\nAnswer: -20*q - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 14 = 4*n, -4*n + 0 - 2 = 5*p. Suppose -9 = i - n*i - 5*b, 8 = -4*b. Suppose -y = -3*v + i + 20, -3*y - 33 = -3*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -667 + 716. Let m(r) = -r**3 + 6*r**2 + 5. Let f be m(6). Let a = f + h. What is the greatest common divisor of 18 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7413 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 - 4*h**3 + 0*h**3 - 3*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 at least as big as -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**4 + 7*s + 2*s**4 + 1161*s**2 - 1154*s**2 - 5*s**3 - 3*s**3 in the form z*s**2 + u*s + g + v*s**4 + t*s**3 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + w**2 + 3*w**2 + (4 + 3*w**2 - 4)*(-3 - 4 + 6) + 11*w**2 - 15*w**2 - 29*w**2)*(-w**2 - 2 + 2).\nAnswer: 35*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 173 + 112 = 3*o, 5*f - 487 = -2*o. Let h = 175 - f. Calculate the remainder when h is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2662*z + 41132 = -1871*z for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8 - 2\/2)\/(3\/(-38))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 3)*(12*f + 5*f**2 - 3*f - 8*f)*(-314 - 9*f + 314) in the form o*f**2 + v*f + y*f**3 + d and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4cc + -5054?\nAnswer: -4a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-5)*-10*(-18)\/(-225)*-5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6090, 5977, 5864?\n\"Answer: -113*f + 6203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1186089 to 4 dps.\nAnswer: -0.1186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/4 - 153\/36. Let i(j) = -j**2 - 4*j. Give i(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 70*k**2 - 366*k - 522.\nAnswer: -2*(k + 3)**2*(k + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2558 - 1491 = 118*z + 5433 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-90)\/3)\/3)\/((-8)\/4). Let c(h) = 10*h - 48. Let v be c(w). Let a(l) = l**3 - 2*l**2 - 1. What is a(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/sqrt(7) + 0 - sqrt(17)) + 1 - (-1*sqrt(272)*-3)**2.\nAnswer: -2447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.2106 times -0.4?\nAnswer: -43.28424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + q**5 + 5*q**5 + (q**4 + 0*q**4 - 2*q**4)*(-q + q - q).\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13035458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 + 2*w**3 - 7*w - 11154*w**2 + 3642*w**2 + 3677*w**2 + 11*w + 3692*w**2.\nAnswer: w**3 - 143*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3538950, 7078142, 10617322, 14156484, 17695622?\n\"Answer: -j**3 + 3539199*j - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j - 3*j + 2*j)*(-j - 2 + 2) + 507*j**2 - 1781*j**2 - 1834*j**2 + 2*j to a*j**2 + o + h*j and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-63)\/(-28) - 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 66070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 7:46 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 1080674.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-2 + (-48 - -8)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (1 + -1)) + (-9 - 29) + 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/16 and 115\/1026.\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + 0*b**2 + 0*b**2 - b**3 + 0*b**3 + 0*b**3 + (1 - 4 + 5)*(-b**3 + 2 - 2) + (4*b - 2*b - 3*b)*(13*b**2 + 4*b**2 - 3*b**2) - b**3 + 3*b**3 - b**3.\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287, 572, 855, 1136, 1415, 1692, 1967?\nAnswer: 2240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 10:45 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3382494l to millilitres.\nAnswer: 338.2494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*m. Suppose 0 = 2*d - 4*y - m*y, 0 = 4*d + y. Suppose d = 4*x - 8237889 - 8962111. Round x to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*j*p**3 + 62*j*p**2 + 2*j*p - 8*p**3 - 3*p - 2 wrt p?\nAnswer: 372*j - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b = 4. Let s(f) be the first derivative of 1\/9*f**6 + 2 + 1\/6*f**b + 4\/15*f**5 + 0*f**3 + 0*f + 0*f**2. Let s(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*g = 6, q - 16 = -2*q - 5*g. Solve -8 = 2*j + q*l, -l - 4 = -4*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 17, -2568, 5, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g + 2*g - 2790 = -38*g for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1430)\/(-55)*(-3)\/(-12)*2. Solve -5*h = 2*i + 14, 44 = -4*h + 5*i + f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**6\/240 - a**5\/40 + a**4\/16 + a**3\/2 + a. Let d(f) be the second derivative of x(f). Determine s, given that d(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, v: 1, w: 3, j: 5}. What is prob of sequence jwj?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -66.25396022 and -0.02.\nAnswer: -66.27396022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 7*x**2 - x + 6. What are the prime factors of s(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555619.\nAnswer: 191, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u + 2. Let z(c) = 1 - 5*c - 2*c + 4*c. Let a(i) = 2*p(i) - 3*z(i). Determine a(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02766 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 22*p - 57. Let h be o(3). Calculate the least common multiple of 12\/h*(-6)\/(-4) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19163851 is divided by 65?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**6\/27 - 2*j**5\/15 + j**4\/18 + 2*j**3\/9 - 2*j**2\/9 + 11. Let y(p) = 0. What is p?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*l - 10*l + 64*l + 72*l - 2*l**4 - 5*l**3 as c*l**2 + a*l**3 + n + s*l + k*l**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4179.2436ms?\nAnswer: 0.001160901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (240\/70)\/(-8)*(-10)\/(-135).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 3*o - 6. Let h be -7 - (0 - (1 + 1)). Let w be r(h). Let c(m) = -4*m**2 + w*m**2 - m**2. Let g(u) = 2*u**2. Determine g(c(a)).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18896 - 6512. Suppose -46*k = -4176 - d. What is the remainder when k is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 42, 7, 0.2, -1\/10, -3 in ascending order.\nAnswer: -3, -1\/10, 0.2, 5, 7, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 506900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 7132*l**2 + 121517*l - 114384.\nAnswer: -(l - 16)*(l - 1)*(l + 7149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 50 + (-41 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/5 of a tonne?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*f - 39. Calculate the remainder when 110\/(4 - (-30)\/(-8)) is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*x - 322001 = -322281 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 3, -1\/11, -26?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 21*v + 2. Let r = 3099 - 3097. Calculate a(r).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*s + 10 = 0, -28*s + 20 = 3*p - 32*s. Let c(a) be the third derivative of -a**5\/60 + a**4\/24 + a**3\/2 + 3*a**2. Calculate c(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 454100905 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 6685184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 680520372?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -28 (b) 9.84 (c) 0.08 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g\/(g*g**6)))\/g)*g*(g*g\/(g\/g**9))\/g*g**1\/g**(-5\/6))\/(((g\/(g*g**(2\/13)))\/g)\/(g*g**1))**(2\/13) assuming g is positive.\nAnswer: g**(7421\/1014)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163 - 157. Let h(q) = -1868*q - y*q**2 + 1868*q. What is h(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwracaarcacw. What is prob of picking 1 a, 1 r, and 1 c?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.4 (b) 1\/4 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1885, -3780, -5675?\n\"Answer: -1895*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -419874605\/8136 + 51607. Calculate the common denominator of k and -95\/6.\nAnswer: 8136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -45*r. Let v(h) = -55*h**2 + 88*h. Let q(t) = 3*t**2 - 5*t. Let x(s) = -88*q(s) - 5*v(s). Determine x(m(i)).\nAnswer: 22275*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from {v: 4, e: 7, o: 2, r: 1, g: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 - 97. Sort -4, -2\/3, 2\/11, y in decreasing order.\nAnswer: y, 2\/11, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mklm. Give prob of sequence kl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*l = 631 - 175 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*-1*sqrt(96)*6)\/(sqrt(18)*4*1))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 - 158. Solve -4*o + 25 = -t, -3*o - 10 = 3*t + a*t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u + 3*t - 6*t, 4*t + 52 = 5*u. Suppose -w = 4*j - 341, 8*w = -343*j + 341*j + 178. Calculate the remainder when j is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + -5. Let l be 2808\/(-324) - ((-1)\/1)\/(-3). Which is bigger: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i = 23*i + 1072. Let n = i + 141. Solve -17 + 3 = -n*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3.2 (b) -14 (c) 10\/9 (d) 1 (e) -24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**3 - 13030*c**2 + 78025*c - 65000 = 0.\nAnswer: 1, 5, 2600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(5\/10)\/((-2)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6611626 to three dps.\nAnswer: -0.661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 8. Let k be t(-3). Suppose -k*v - 25 = 5*c, 0 = -2*c - 2*c + 4*v - 44. Let a(d) = -d**3 - 7*d**2 + 7*d - 6. What is a(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(1*-1)\/((130\/(-65))\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a*f**3 + 7*a*f + 1643*a - 16*f**3 wrt f.\nAnswer: 9*a*f**2 + 7*a - 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p - 2. Let i be t(9). What is the tens digit of ((-4)\/i)\/(1\/(-92))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -10*b + 17. Determine c(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -4, 98, 5, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -9. Let l be -2 - g - (-8 - -4). Solve l = 3*t - 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230242 (base 5) in base 3?\nAnswer: 102020121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -13444334.\nAnswer: -5377733.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*y - 80 = 0, -3*n = -0*y + 3*y + 48. Let p be -1*(-19)\/1*1. Let m = n + p. Calculate the remainder when m is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (222\/(-37))\/(-1*(-6)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86)\/12 - ((25 - 16) + -16)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12219, 12243, 12275, 12321, 12387, 12479, 12603, 12765?\n\"Answer: n**3 - 2*n**2 + 23*n + 12197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197633, -395264, -592895, -790526, -988157, -1185788?\nAnswer: -1383419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * -432896\nAnswer: -47618.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504340 is divided by 2335.\nAnswer: 2315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-32)*4*3*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 times -16.8?\nAnswer: -1377.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:46 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 107146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 7. Let o be 1\/4 + 21\/(-4). Let i be z(o). Is 24 a factor of (i - 0) + (38 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*l + 0 + 837*l**2 - 438*l**2 - 2527*l**2 + 3 wrt l?\nAnswer: -4256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -2) + 3 - (0 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/42 and -67\/1614.\nAnswer: 11298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.26 - 7.26. What is the nearest to -2 in -5, 1\/2, l, -0.11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*q = -55, 2*l + q = -4*q - 25. Calculate the remainder when 6\/4 + 2\/(-8)*l is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3\/14 (b) -17 (c) -2 (d) -28 (e) 0.3 (f) 2 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 422306962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 566.6 times -0.37?\nAnswer: -209.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*j - 16, 16*f - 19*f + 5*j = 34. What is the tens digit of 6\/f*8*234\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -21*g + 26*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyxyxxxyxe. What is prob of picking 3 y?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 576932051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 13. Let f = -19 - -28. Let p be d(f). Let y(u) = u + 7. Let c be y(p). Solve -3*q - 17 = 3*g - 2, c*g + q + 9 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/5 + 120*r**3 + 18922*r**2\/5 - 4326852*r\/5 + 8573184\/5 = 0. Calculate r.\nAnswer: -183, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 15*g + 28. Give l(-8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 70 - 20. Let t(l) be the third derivative of -29*l**4\/6 - 5*l**3\/3 + l**2. Let r be t(i). What is r rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g. Let p(j) = 10*j**2 - 3*j + 14. Let h(z) = z**2 + z - 7. Let r(d) = -2*h(d) - p(d). Determine r(l(m)).\nAnswer: -588*m**2 - 7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**4\/2 - 4*n**3 + 19*n**2\/2 + 52*n - 33. What is the hundreds digit of b(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 4. Let t be 3 + (3 - (9 + 2)). What is r(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwhhhmmhhhmtt. Give prob of picking 2 h.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6921 and 15.\nAnswer: 34605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 1)*(0 + 2 - 1)*(2 - 4 + 0)*(1 + 535*j - 526*j + 1) as k*j + n and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 223787193 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*r + 14 = 2*r, -5*d = 2*r - 18. Suppose 0*n = -2*m - 3*n + 10, 0 = 5*m - d*n + 13. What is the closest to m in -1\/9, 1\/4, 5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/135885 and 62\/951?\nAnswer: 43075545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 996804\/(-27)*(-42)\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33585, 66833, 100059, 133251, 166397, 199485, 232503, 265439?\n\"Answer: -2*q**3 + q**2 + 33259*q + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000110087 to seven dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -11*j**2 - 2*j - 1. Let h be b(-1). Let v(d) = d**3 + 9*d**2 - 9*d + 8. Let q be v(h). Is 1 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(33) + (sqrt(297)*3 + sqrt(297) + sqrt(297) - sqrt(297)) + sqrt(297) + sqrt(33))\/((sqrt(75) + sqrt(3))*-6)*-2.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -867 times 3?\nAnswer: -2601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/2 (b) 2\/5 (c) 2\/7 (d) -0.4 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucjz when four letters picked without replacement from ajzjcjizuiizizu?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a**2 + 2*a + 2. Let h(u) = 4*u**2 + u + 1. Suppose 22*q - 77 = 55. What is q*r(g) - 11*h(g)?\nAnswer: -2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 - o. Let z be k(-1). Suppose 2*r - 24 = -2*r. Is r equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 1020328544529?\nAnswer: -1020328544529.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (3 - ((10 - -3) + (-7 - 1)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 91\/96 (b) -946 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 5:37 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1327*x**3 - 388*x + 75*x + x - 429*x**3 + 2 + 85*x wrt x.\nAnswer: 5388*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - c - 8560 = -6*c, 2*c = 4*q - 6830. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + m + 264. Let x = 49 + m. Suppose a - 4*f - 23 + x = 0, 5*f + 33 = 3*a. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -20?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**2 + 9*l - 4. Let x(j) = 3*j**2 - 8*j + 4. Let y(q) = 2*t(q) + 3*x(q). Let r be y(6). Solve i - r + 7 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of s**4 + 5581785*s**3 + 4*s**2 - 253767091.\nAnswer: 4*s**3 + 16745355*s**2 + 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1950*k**3 - 1892*k**3 + 1088*k**3 - 237*k**3.\nAnswer: -2991*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from cacaaaaaaaacaaaacaa?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-35)\/(-2))*-2. Suppose -q + 992 = 3*a, 3*q - 1724 - 1264 = -5*a. Suppose j - q = -8*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -5, 3*b = -3*m - 821 + 824 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57900 and 2788271.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 44598750*n**2 - 30625*n. Let o(a) = 4369*a**2 - 3*a. Give -3*g(f) + 30625*o(f).\nAnswer: 4375*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r - 5. Let w be a(5). Suppose -5 = -w*b, -5*j - 5*b - 9 = 11. Does 18 divide (j - 3)*(-27)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -3. Suppose -14*s + 6*s = 912. Let k = s - -108. Which is greater: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 78\/(-663) - 257\/(-17). What is the greatest common factor of 2145 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 13*v**2 + v. Give g(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 388, 1017, 1644, 2269, 2892, 3513?\n\"Answer: -h**2 + 632*h - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from {j: 1, n: 1, p: 1, x: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*x + 34 = 0, 5*x + 9 = s - 8. Suppose -5*k = h - 31, 5*k - h = 25 + 4. Suppose k*l = l + 425. Calculate the greatest common divisor of s and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -689*k - 16. Let z(g) = 460*g + 10. Give -5*t(a) - 8*z(a).\nAnswer: -235*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*f + 26*f - 36*f as a*f + l and give a.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*s - 108 = 0, 108 = v + 2*v - 5*s. Calculate the common denominator of 34\/9 and (-129)\/v - 1*-4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 251444*d**2 + 3952887900*d - 43451347500.\nAnswer: 4*(d - 31425)**2*(d - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/27)*n)\/n**11)\/(n*n**(-1\/2))**(-2\/31) assuming n is positive.\nAnswer: n**(-7444\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 143*j**2 - 3304*j + 225. Determine g(-114).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 20*w**2. Let n(a) = -6*a**2. Suppose 0 = -157*v + 151*v - 30. Let o(l) = -7*l**2. Let y(x) = v*o(x) + 6*n(x). What is y(d(q))?\nAnswer: -400*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 56*z + 10 = -54*z, 5*h - 25 = -3*h - 5*z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -283 + 296. What is the second derivative of q*i + 3*i + 331*i**3 - 273*i**3 wrt i?\nAnswer: 348*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q - 2*q - 3*q. Let x(g) be the second derivative of -2*g - 1\/12*g**4 + 0*g**2 + 0 + 0*g**3. Determine a(x(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 22 in descending order.\nAnswer: 22, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**6\/30 + n**5\/30 + n**4\/12 + n**3\/3 - 7*n**2. Let a(x) = 13*x**3 + 6*x**2 + 7*x + 7. Determine 2*a(s) - 7*d(s).\nAnswer: -2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -422487256\/4305 - -3435687\/35. Let b = -30112\/167895 - -56\/585. Let x = z + b. Calculate the common denominator of 65\/3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(2 - 30\/9). Is t\/6*(-45)\/6 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c. Let j(p) = 6*p - 9. Determine j(t(i)).\nAnswer: -30*i - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 926 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r + 8. Let f be b(11). Let w = -37 + 24. Let q = w - f. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -144 from 25713.5914.\nAnswer: 25857.5914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 859828 to the power of 1\/2, to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4958 = 6*v - 9868. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.2, 6\/19, -2.125, 107 in decreasing order.\nAnswer: 107, 6\/19, -0.2, -2.125, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (-9 + (-423)\/(-36)))\/(255\/(-136)). Let q = 0.5 + -1. What is the nearest to d in 1, q, 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2139136 and -8549.0106?\nAnswer: 8548.7966864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:42 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 + 13*s**2 + 10*s - 1. What is z(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/7 + -2 + (-3414)\/10. Let z = m - -339. Is 196 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-501*t + 501*t + 1714*t**2 + (t + 3*t - 2*t)*(-1 + 2*t + 1)).\nAnswer: -3436*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*k - 7*k - 8, -4*k + 5*l = 17. Let p be (-1420)\/(-6) - 2\/(-6). Let x = -2605\/11 + p. Put -0.2, k, x in increasing order.\nAnswer: k, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 1. Let u(n) = n - 1. Let g(r) = -55*r - 10. Let m(x) = -g(x) - 20*u(x). What is -30*h(a) - m(a)?\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(-2098*b**5 + 876*b - 1761*b + 885*b).\nAnswer: -4196*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/5)*n**(-2\/7)*(n*n\/(n\/n**2))\/(n**(2\/25)\/n*n*n*n))\/((n**1)**(-12)*(n\/(n*n**(-2\/23)\/n))\/n**6) assuming n is positive.\nAnswer: n**(71433\/4025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 + 694. Let n be (-154)\/(-4) + ((-145)\/(-10))\/29. What is the highest common factor of n and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -4, 0, 5, -5, -1 in descending order.\nAnswer: 5, 0, -1, -4, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 23*h**6\/3 + 42*h**5\/5 - h**4 - 1. What is l in o(l) = 0?\nAnswer: -1, 0, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnn when three letters picked without replacement from {p: 5, n: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 1. Suppose 151 = 5*c - 14. Suppose -4*p - 12 = -y - 3*y, -4*p - c = 3*y. Give t(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23457195, -23457193, -23457191, -23457189?\nAnswer: -23457187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 34.08. What is the closest to j in 0.5, 2, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxvpvxvxhvxevvh. What is prob of picking 2 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 1:20 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-220)\/(-12) + 1\/(-3). Let h = 41 - b. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 7*f**3 - f**2 - 3*f + 6*f**3 - 19*f**3 as a + i*f**3 + v*f + o*f**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1934568 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 11*l + 9*l + 5*l - 28*l. Suppose 0 = -4*x + 13 - 1. Let h(v) = -x + v + 3 - 5*v. What is h(w(c))?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 411?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1025634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5083.1 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (2 - 0)) + -24 + 31 + -19.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -0.2 (c) 0.1 (d) -1\/1176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**3 - 10*k - 10. What is y(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**3 + n + 6. Calculate f(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1114 and 406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 4*f + 4. Suppose -5*d + 4*d = -t + 2, -2*d - 9 = 3*t. Give m(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3258\/24)\/(15\/20) is divided by 2\/7 - 878\/(-14)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133188, 266381, 399574, 532767, 665960?\nAnswer: 799153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q = 18. Suppose 0 = s - 3*w - 3, -2*w = -3*s - 4*w - 2. Suppose s = -q*z + 2*z + 40. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306273601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 66\/6 - (0 - 1). Let t be (-16)\/n*(-3)\/2. Let m be t\/(-16 + 2 + -1). Which is the nearest to -1\/3? (a) -0.2 (b) m (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 476 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -27*l. Let u(s) = -17866*s - 133. What is x(u(i))?\nAnswer: 482382*i + 3591","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*1*3*sqrt(55))\/(1*sqrt(500) - sqrt(405)*1).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/70*(-445)\/30438.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -12.942?\nAnswer: -6.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 11*f**2 + 6*f + 13. Give t(-10).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3504 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*y = 55, -4*y + 5 = -4*r - 35. Let p be (-4)\/1*r\/(-30). Let d be -2 - 5\/p - (-20)\/8. Solve d*h + 3 = -i - 4, -2*i + 3*h - 5 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*-2*2)\/(sqrt(12) - -2*sqrt(108)) + (-4*(sqrt(68) - (sqrt(68)*-3 + sqrt(68))) - sqrt(68))\/(sqrt(4) + sqrt(196)*5).\nAnswer: -235*sqrt(17)\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 5*v + 10*v)*(v - v - v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 277*26.773\nAnswer: 7416.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -7) + -1 + -10 - (16 - 11).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 1*(0 + sqrt(117)) + (sqrt(117) + 0)*-5)**2 + -5 + 4.\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23.7 + -193.3. Let h = 216.89 + a. What is the closest to -2\/7 in 5, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - t**2 - t. Let i(j) = 0*j**3 - 16 - 3*j**3 - j**2 - j - 1. Let g(o) = -i(o) + m(o). What is the derivative of g(c) wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 2*q. Let v(i) = i**2 + i + i**2 - i**2. Let h(r) = m(r) + 2*v(r). Let c(w) = 3 + 12904*w + 12896*w - 3 - 25798*w. What is h(c(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 120 = 18*a. Calculate the remainder when 177 is divided by a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppf when three letters picked without replacement from agafpapfgap.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258, 1904, 5904, 13428, 25646, 43728, 68844?\nAnswer: 102164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125443586.\nAnswer: 2, 19, 3301147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -65337 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 24*p - 92. Let x be y(-19). Find n, given that -5*n**5 + 2*n**x + 2*n**2 + 3*n**5 + 3674*n**4 - 3676*n**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 265 - 161. Suppose 88 + o = 16*v. Solve n - 4 = -4*y, 4*y - 3*n = y - v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1143141 (base 5) to base 10\nAnswer: -21671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2835166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 482\/6 - (-4010)\/(-2406).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8423301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(4 - -6 - 13). Let y(u) be the second derivative of -u**3\/6 - 3*u**2 - u. Determine y(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 180837*f**3 + 5*f**2 - 10212 wrt f?\nAnswer: 1085022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 12 = h. Let r(w) = 1 + 1 + h - 3 - w. What are the prime factors of r(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 12*j**2 - 13*j + 15. Let c(d) be the third derivative of -d**4\/24 + d**3\/3 + 4*d**2. Let f be c(-11). What are the prime factors of v(f)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2332 and 30.\nAnswer: 34980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-9)*21\/(-14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 21*i + 32. Let g(d) = -2*d**3 - 7*d**2 + 4. Let r be g(-4). What is the remainder when p(r) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in 0.3, 2, -83.5, 0.07, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 18*l + 17. List the prime factors of w(-8).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3514 - 71177. Let p = c - -291663. What is p rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 0.1. Let d = -2574.4 - -2895. Let q = -321 + d. Which is the nearest to -2\/7? (a) g (b) 2\/27 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/19)*r)**(13\/4)\/((r*(r*r*r**(-2\/7))\/r)\/r**11) assuming r is positive.\nAnswer: r**(6851\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -927490\nAnswer: 2782470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 82. Let x(r) = -5*r**2. Give x(n(z)).\nAnswer: -20*z**2 + 1640*z - 33620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -78*d**2 + 3*d + 20. Let l(j) = 157*j**2 - 6*j - 35. Give -5*i(x) - 3*l(x).\nAnswer: -81*x**2 + 3*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2634*u + 2632*u - 13, 5*o + 25 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**3 - 2 + 53*m**2 + 44*m**2 - 91*m**2 in the form n*m + u*m**3 + k*m**2 + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + v**2 - 1. Suppose 0 = 4*m + 3*l - 13, 0 = -2*m - l - 1 + 6. Let y(o) = -3*o**2 + 5. What is m*y(t) + 3*a(t)?\nAnswer: -3*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (187 + -59 - 185) + (29 - 1).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 7. Give j(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Suppose -s*t + 26 = -5*r + r, 2*t + 3*r = -11. Suppose -2 = g + 1, t*w - g - 95 = 0. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*a - 454 = -307 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5*12\/(-9) - -4)*-3. Suppose 0 = i*a - 5*a - 5*q - 14, -3*a = 2*q - 7. Solve -71 = a*g - 77 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*d = -817*d + 527496. Put -5, d, -2 in descending order.\nAnswer: d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1834*b**2*l**3 + 4*b**2*z**2 - 57090*b*z**2 - 179*l**3*z**2 with respect to l.\nAnswer: 5502*b**2*l**2 - 537*l**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -144, -840, -2006, -3648, -5772, -8384, -11490, -15096?\n\"Answer: -h**3 - 229*h**2 - 2*h + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4551961g?\nAnswer: 0.0004551961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - a = -228 + 953, 3*a = 3. Let g = 743 + l. What are the prime factors of g?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -357*o + 363*o - 54. Is 4230\/o*17 + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Suppose -5*s + g*m - 390 = 7*m, 4*m + 230 = -3*s. What is the common denominator of s\/(-2)*1\/(-3) and -19\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 2*p**2 + 3*p. Let q(x) = -x**3 - 2*x**2 + 2*x. Suppose 4*i + 10*i + 56 = 0. Let w(d) = i*q(d) + 5*v(d). What is the units digit of w(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 6*n - 3 + 6 + 0 + 4*n - 11*n**2. Let x be a(10). Find the first derivative of -4*u + 6*u + 3*u - 11 + x*u wrt u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 6:28 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 + 10?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0, 1365, 1023 in increasing order.\nAnswer: -0.5, 0, 1023, 1365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2052 and 1902.\nAnswer: 650484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (18\/27)\/(2\/((-6)\/(-11)))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20696.5 + -20697. What is the closest to 0.14 in -12, 5, 2\/3, a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*b*i*l*m**2 + 4*b*i*l*m - 2*b*i*m**2 + 5*b*i*m + 15*b*i + 2*b*l*m - 3*b*l - i*l*m + 57*l*m**2 wrt m?\nAnswer: -30*b*i*l - 4*b*i + 114*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, f: 1, e: 2, o: 1, u: 2}. What is prob of picking 1 f, 1 v, and 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 94200.64 litres in millilitres?\nAnswer: 94200640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5234 is divided by 138?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/45*(38 - (-4112)\/(-112)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2 + 2)*(-34*q**2 + 0*q**2 - 12*q**2 + (0 + 0 - q)*(-2*q - q + q)).\nAnswer: 88*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45461313.\nAnswer: 3, 5051257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56.4 - -60.4. What is the biggest value in 5, 0.4, -2, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/7450835 and -17\/2128810?\nAnswer: 14901670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.17 + -7.17. What is the nearest to p in -1\/2, -4, -6.8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7248.1 + -7251.1699. Round n to 2 decimal places.\nAnswer: -3.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*(-27556)\/(-249). Let c = z + 56. Find m, given that -c - 2*m**2 + 2\/3*m**3 + 2*m = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 7:43 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.95 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -119519.89 rounded to the nearest one hundred?\nAnswer: -119500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54.3 - 54.4. Let r be 259\/154 + (-6)\/4. Let z = -4\/29 - 79\/58. What is the biggest value in j, 0.1, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -0.7. Let b = -416 - -419. What is the nearest to 7 in b, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*t + 11 - 42, 2*g = -5*t + 30. Suppose g*a + 6 = -2*d, 2*a - 7*a + 15 = -5*d. Which is smaller: -20\/11 or a?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 96? (a) 1 (b) 0.1 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00090746268 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1079405532 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*y + 185559*y**3 + 199*y + 42490*y**3.\nAnswer: 228049*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -23830.\nAnswer: -1\/23830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 491, -1, -12738, 0, -5 in descending order.\nAnswer: 491, 0, -1, -2, -5, -12738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 3*s + 13, -174*b + 40 = -171*b - 4*s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**6\/5 - d**5\/20 + 25*d**3\/6 + 2*d**2 + 62*d. Find the second derivative of f(x) wrt x.\nAnswer: -72*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 212, -5, 1 in increasing order.\nAnswer: -5, 1, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.744495s in microseconds?\nAnswer: 6744495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -49\/17358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980902?\nAnswer: 2, 13, 31, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**5\/15 - 85*z**3\/6 + 2*z**2 + 93. Let w(n) = 2*n. Calculate w(u(s)).\nAnswer: 8*s**2 - 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537260519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + u + 1. Let s(v) = -5 + 164*v**2 - 159*v**2 + 2*v - 7*v. Calculate -5*r(o) - s(o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/57)*a\/(a\/(a*a**(6\/17))))\/(a*a**3\/a)**(-3\/2) assuming a is positive.\nAnswer: a**(11275\/1938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a1 - 68c?\nAnswer: -4bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-254)\/24)\/(-1) - 84\/(-63) and 125\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 2. Let c be n(-8). Suppose 4*g - 9 = f, f - 16 = -3*g + c. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1228\/34 + (-4)\/34. Suppose 2*p = 4*b - h, -3*b + 0*p + 3*p + 21 = 0. Let m = -1 - -5. Solve -m*x = b + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 12*v + 16. Let c(u) = 3*u - 4. Let a(w) = 4*c(w) + d(w). Let f(m) = 6934*m**2. What is a(f(t))?\nAnswer: -48080356*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*k**5\/7 + 178*k**4\/7 + 894*k**3\/7 - 2948*k**2\/7 - 536*k\/7 + 3120\/7 = 0. Calculate k.\nAnswer: -6, -1, 5\/4, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17\/((-17)\/192) + -3. Let k = 198 + m. Solve 0*q = k*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 210 = j + 2*p, 5*j + p = 1347. Let f = j - 253. Solve 3*s = 4*i + 10, f - 2 = -4*i + 5*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -7 + 2 - (-24 + 12 + 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -14745 and -3745 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12683158, 25366325, 38049494, 50732665, 63415838?\n\"Answer: y**2 + 12683164*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -20*g**2 + 105*g + 203. Let l(p) = 7*p**2 - 38*p - 66. Let z(b) = -17*l(b) - 6*w(b). Give z(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 divided by -17030?\nAnswer: -152\/8515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 8*g - 9. Let w be v(6). Let z(y) = 488*y + 15132. Let m be z(-31). Let p = 3 + -8. Sort w, p, m, -4.\nAnswer: p, -4, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40123*x + 69396 wrt x.\nAnswer: 40123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 10 - 10. Suppose 1905 = -p*j + 5*j. Is j a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31.44 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 8:48 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l - 2*l + 0*l - 4*l. Let r(n) = -8*n. Calculate y(r(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0919008184 rounded to 3 dps?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -36808*y + 147312. Give s(4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1896 and 32.\nAnswer: 7584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -194*u + 222*u - 308 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 10*i + 27*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*w + 4*t, -2*t + 4 = -3*w - 6. Let n = w - -4. Let a(h) = h**2 + 2. List the prime factors of a(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 + 8*j**3 - 5*j**3 - j**2 + 0*j**3 + 27*j + 2 as d*j**2 + x + z*j**3 + u*j and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 11:50 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254*i + 612 = 260*i. Is 102 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 1\/9, 19, -3\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 264*u**3 + 12*u**2. Let m(w) = 2*w**3 + w**2. What is k(l) - 12*m(l)?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 90532 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1042245 by 265.\nAnswer: -3933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -63\/776507?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -65. Let q = 22 - l. What is the remainder when q is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 46\/9, -1.8, 38 in decreasing order.\nAnswer: 38, 7, 46\/9, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 2 + 5 + 3 + (sqrt(847) + 0 + sqrt(847))*-6*3)**2.\nAnswer: -7700*sqrt(7) + 1037675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 296370, 2, -0.1?\nAnswer: 296370","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2100 divided by -27.\nAnswer: -700\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 745 (base 13) to base 2.\nAnswer: 10011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50814579\/9737 - 36531\/7. Let g = m + 126713\/30602. Calculate the common denominator of ((-18)\/(-176))\/((-6)\/(-184)) and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-15) - 154\/(-5). Suppose 0 = p - 10 - r. Solve -5 = 4*j + 5*a - p, -a = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*u + 54, 4*u + 156 = 4*k + 24. Let c be (-1)\/(-2)*(k - -9). Let s = c - 21. Calculate the highest common factor of 10 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + 3 + -6 - -7. Let m(u) = -2*u**2 + 2*u + 5. Let x(b) = -4*b**2 + 4*b + 9. Give n*m(y) - 6*x(y).\nAnswer: 2*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-15))\/8*48\/448\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3130398, -6260796, -9391192, -12521586, -15651978, -18782368?\n\"Answer: q**2 - 3130401*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lax when three letters picked without replacement from {x: 2, z: 6, a: 3, l: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-327)\/36 - (-3 - 1) and -149\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 times 2561172?\nAnswer: 66590472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/17 + 94254*z**2\/17 - 1111277790*z\/17 + 1109676050.\nAnswer: -2*(z - 23555)**2*(z - 17)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 9\/7, 1\/21, -192\/7, 1?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1164)\/30 - -40)\/(((-117)\/(-435))\/13).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 664*q - 20075. Calculate a(30).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1972\/303867?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1300) - (sqrt(1300) + (sqrt(1300) + (sqrt(1300) - (sqrt(1300) - (sqrt(1300) + -1))))**2)) + sqrt(1300).\nAnswer: -20804 + 170*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 74*d**3*h - 7283*d**3 - 2*d**2 - 2*d + 2633*h**2 + 1 wrt h?\nAnswer: 74*d**3 + 5266*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/(275\/198)*1\/3. Let t be (-6 + 5)\/(c\/354). Calculate the greatest common divisor of t and 531.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4165.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -8928.156 to the nearest 100.\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0307377 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-18)\/(-1)))\/((-63)\/63).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ouoooxoxxoxxouoxo. What is prob of sequence ooxx?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -748 (base 16) to base 7.\nAnswer: -5302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8*(1 + 51\/9)*(4536\/192 - 24)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183866300 rounded to the nearest 1000000?\nAnswer: 184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 3*j**2 - 2*j - 2. Let q(a) = -a - 8. Let r be q(-10). Give h(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a + 28. Let p(y) = -y**2 + 12*y + 19. Let q be p(13). Let z be (14\/4)\/((-3)\/q). Let i be j(z). Solve i = 3*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o. Let f(k) = 4*k + 1. Suppose t + 3*s = -16, -4*t = -6*t + s + 3. Let p(n) = t*f(n) - 3*b(n). Let j be p(-4). Solve -j*m = -2*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -21*t. Let x(f) = 1 - 50*f - 1 + 51*f. What is x(o(m))?\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4935936 less than -235?\nAnswer: -235.4935936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v - 2. Let r(z) = 4*z - 1. Let s(l) = -l + 3. Let d be s(-3). Calculate d*g(o) - 11*r(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 403 - 32560666942?\nAnswer: -32560666539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 6. Suppose 3*o + 0*o + 3*q = 12, q = -4*o + k. Solve m - o*m = -3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 51\/(-1)*2\/3. Let k = d + 54. What is the highest common factor of 40 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 13*r**7\/210 + 19*r**3\/6 - 18*r**2. What is the derivative of t(j) wrt j?\nAnswer: 52*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 2*k**2 + 2*k + 41. Let i(m) = 3*m**3 + 3*m**2 + 3*m + 42. Determine -3*g(t) + 2*i(t).\nAnswer: 3*t**3 - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and (-4)\/(-26) + (-23940)\/(-546).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429.847 rounded to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3005 by -3005.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(30)\/sqrt(6)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b + 150ba?\nAnswer: 1509b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.149 and 51998?\nAnswer: 7747.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -738 + 784. Suppose 51*h = -i*h + 102*h. Solve 10*g - 26 - 14 = h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 595 and 1666.\nAnswer: 8330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pexeg. Give prob of picking 2 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1133158, 1133168, 1133174, 1133170, 1133150?\nAnswer: 1133108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 48 = -3*t. Let j be (t - -8) + -1 + -22. Let k = j - -39. What is the lowest common multiple of k and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 2)*(4*d + d - 3*d) - d + 3*d - 3*d + 7*d + 0*d + 14*d + (-2 + 1 + 0)*(3*d + d - 3*d) - 5*d + 5*d - d as h + g*d and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -5 (c) 297 (d) -11\/19 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 399 - 831. Let a = u - -433. Put a, 2, 66 in decreasing order.\nAnswer: 66, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exeeeeeexxxxeexex. Give prob of picking 1 x and 3 e.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (1 + -1)) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4463*1.4\nAnswer: 6248.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -29225.327.\nAnswer: -5845.0654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 28 = 44. What is the units digit of 1647\/(-36)*-2*p\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7645*i**3 + 40*i**2 + 3200*i + 40. Let d(x) = -588*x**3 - 3*x**2 - 246*x - 3. Let j(t) = -40*d(t) - 3*n(t). Find the second derivative of j(u) wrt u.\nAnswer: 3510*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 3:03 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 3*m - 3. Let z be (-3 - (2 - -4)) + 3. Let s(q) = -7*q**2 + 7 + 4 - 109*q + 120*q. Calculate z*s(y) - 22*p(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**3\/3 + 15*w**2\/2 - 18*w - 1. What is the remainder when a(12) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.4 + 11.39856. Round q to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 5*j + 9 - 4)*(j + j - 3*j).\nAnswer: j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q**2 - 3*q - 6. Let j be b(-5). Let m be (-4)\/(-18) - (-136)\/36. Suppose m = -t + j. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 23*y - 4*y - 14784. Calculate the smallest common multiple of y and 16.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 5*z + 2. Let w be p(-2). Suppose w*t - 18 + 6 = 0. Let a(m) be the second derivative of m**5\/20 - m**4\/4 - m**3\/2 - m**2\/2 - m. Give a(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2011560 and 744?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29082689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-168 + 194 - 117)*(0 - 3 + 0)*(-3*o + o + 4*o)*(-6 + 6 + 9) to v + s*o and give s.\nAnswer: 4914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 3341937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**4\/12 + 5*p**3\/6 - 6*p**2 - 7*p + 5. Let l(w) be the first derivative of m(w). Does 12 divide l(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:43 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 477601381 to the nearest integer?\nAnswer: 21854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 21. Find the common denominator of 60\/(-252)*-1*(-79)\/5 and (98\/(-3) + o)\/(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8830067?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/(-35))\/((3\/(-21))\/(-1)). Solve l*f = 3*f + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12431.5 rounded to the nearest 100?\nAnswer: -12400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (3 - 6 - -2)) + 46 + -50.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 394922 by 638.\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38415 is divided by 18038?\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 144106819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 + 63*d - 4 + 8.\nAnswer: 63*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/26*(35\/(-5))\/(3297\/(-1570))?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 - 4 + 3 + 1. Let q(s) = -24*s**2 + 90*s**2 - 25*s**2 - 40*s**2. What is q(v(i))?\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -3.8249877.\nAnswer: -0.76499754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 5*n**2 - 2*n + n - 216 + n + 28. Let m(w) = -1. Let j(v) = -v + 3. Let c(b) = -j(b) - 3*m(b). What is h(c(s))?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -4*v**3\/3 + 1268. Let i(w) = -8*w**2 - 10. Determine h(i(q)).\nAnswer: -256*q**4 - 640*q**2 - 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -29*o - 79. Determine k(-1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4493073 and 4485.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20971 + -20970.8. What is the nearest to x in -5\/4, -4\/15, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 11100101000010010001?\nAnswer: -11100101000010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*m = 37, -4*m + 3 = -29333*t + 29336*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -29*h - 173. Calculate g(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 585 - 180 - 24*g - 197 - 179.\nAnswer: -24*g + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.800024 + -0.8. Round p to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16101943.766 - 1\nAnswer: 16101942.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 37*x - 17*x**2 - 404*x**3 + 403*x**3 + x + 18 - 17*x. Give i(-18).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (2 - 5) + 0 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 2*f + 2*f. Let w(g) = -17*g**2 + 3*g. Let r(b) = -12*b**2 + 2*b. Let i(n) = -3*r(n) + 2*w(n). What is i(y(z))?\nAnswer: 50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 4. What is the remainder when 10 is divided by b(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 13*x**5 - 5*x**4 - 5*x**2 - 23*x - 5. Let d(t) = -t**5 - t**4 - t**2 - t - 1. Let c(o) = -5*d(o) + h(o). Find the second derivative of c(q) wrt q.\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*q + 448 - 430, 3*q = -4*l - 24. Which is the second smallest value? (a) -11 (b) q (c) 0.3 (d) -3 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 30 = -10*c. Let p(j) = -j**3 + 7*j**2 - 7*j + 8. Let r be p(6). Let 0*u + 0 + 0*u**r - 2\/3*u**c = 0. What is u?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.6 - -2.6. Let p = 8 + k. What is the nearest to 0 in 2\/19, -2\/23, p?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/20449 and 59\/1144?\nAnswer: 163592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.369 (b) 12.5 (c) 1 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17990*n**2*v**2 - 443*n*v**2 + 18577*v**2 - 2908*v + 1 wrt n?\nAnswer: -35980*n*v**2 - 443*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362 a factor of 28200210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -6*i + 20, -685*v = -680*v - 4*i - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -70.8, 0, -0.4, 5, 5\/66?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, l: 1, e: 6, m: 1, g: 3}. Give prob of picking 2 g and 1 e.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49555*q - 7*q**3 + 148668*q + 5*q**3 - 49553*q - 49560*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6*z + 4*a + 18, 3*z = -3*a. Let r = 2 - -3. Let v(w) = w**3 - 5*w**2 + w - 3. Let n be v(r). Solve -n*o - 13 = 3*p, -p = -z*p - 5*o - 26 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.1, 0.992 in descending order.\nAnswer: 0.992, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/9 - (-26)\/(93 + -15)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 minutes before 6:12 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -1\/20*l**5 - 1\/6*l**3 - 1\/2*l**4 + 9\/2*l**2 + 5*l + 0. Calculate the smallest common multiple of 12 and x(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(168\/(-468)*-3)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - q - 26 - 30 = 0, -3*c = -2*q + 31. Let j(h) = 68*h - 51. Let t be j(1). Let y = c + t. Solve -y*m + 14 = 2*p, -p = p + 2*m - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*b**4*c - 46*b**4 + 2*b**3*c + 20*b**3 + 1759*b**2 + 216*c wrt b.\nAnswer: 1296*b*c - 1104*b + 12*c + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19878*g**3 - 39069*g**2?\nAnswer: -119268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 168250 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 2 + 1)\/(54\/9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16689950?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 + 9 + -11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3)*v**(-1)*(v**(1\/3)*v*v)\/(v*v*v*v**(2\/3)\/v*v) assuming v is positive.\nAnswer: v**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-5)*10\/(-8). Let n = -285 - -263.4. Let o = 21.6 + n. Which is the second smallest value? (a) 5 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40096 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2654735 (base 10) in base 15?\nAnswer: -3768c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*381.\nAnswer: -38.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 5.91. What is the third smallest value in v, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c07 (base 13) to base 5.\nAnswer: 1144213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 0.5, -1\/34 in descending order.\nAnswer: 19, 0.5, -1\/34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 921 = -20*x + 661 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 563571721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -11.9.\nAnswer: -12.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2637212 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 326 + -323. Solve 4*r - 4 = -v*p, 24*p - 26*p = -3*r + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Suppose -5*v + 2*b + 20 = 0, -i*b - 14 = -4*v + 14. Suppose p - v*d - 33 = 3*d, -3*p - 3*d = -117. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2047 and -2046 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111111100011101 (base 2) in base 5?\nAnswer: -22241011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a86 - 81?\nAnswer: -b17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3556660 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 152, 7, -2, -1, -5 in increasing order.\nAnswer: -5, -2, -1, 7, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnn when three letters picked without replacement from {b: 1, n: 18}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -320*y + 8380. Let h(j) = 4*j. Calculate the lowest common multiple of g(26) and h(3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-105))\/(6\/(-14)). Let r = -34 + 19. Let o be -8 + 8 - r\/9. Which is the second biggest value? (a) 2\/15 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*n - 44 = 16*n. Let l be (n - 4) + 13 + 39. Calculate the greatest common factor of l and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -42*f**2. Let h(u) = -2750*u**2. Give w(h(a)).\nAnswer: -317625000*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - sqrt(130)*2)*-1)\/((sqrt(10) - sqrt(20)\/(sqrt(2)*2)) + sqrt(10)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 782927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 116*k - 5910. Give t(-155).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3))**(-6\/11)\/((g\/((g*g**(1\/10))\/g))\/(g*(g*g**(2\/3))\/g*g)) assuming g is positive.\nAnswer: g**(643\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54412.\nAnswer: 2, 61, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2*2*(-5)\/5. Suppose -11*o - h*o = 42. Let b = -3.4 - -3. What is the nearest to 2 in o, -0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 11*o**2 + 9*o + 14. Let k be p(10). What is the remainder when 12\/16 - (-193)\/k is divided by ((-34)\/(-6))\/((-1)\/(-3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 38b0?\nAnswer: -38b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3 + 2*z**2 - 1 + 1 - z**3 - 1 - 2*z. Let o be (-12)\/(-4)*(-4)\/(-6). What is p(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 112 = -2*q, 2*s - 92 = -0*s + 3*q. Let g = s + -574\/11. Let u(b) = -b**3 - 3*b**2 - 2*b - 1. Let c be u(-1). Is c equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2*h = 18 - 8, 0 = -2*h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6552\/(-630))\/((-26)\/20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 4*k - 3. Let s be i(-5). Let b(n) = 4*n**2 + n**s - 7*n**2. Let a(u) = -u. What is a(b(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/506 and 93\/2530.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3814 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40602, 40621, 40654, 40701, 40762?\nAnswer: 40837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12304 + -12297. What is the closest to b in 5, -1, 3, -6\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 3 + 4 - 2*a**4 + 4*a**3 - 4687*a**2 + 4689*a**2 as n*a**4 + d*a**3 + w*a + r + b*a**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, j: 1, i: 1}. What is prob of picking 2 g and 1 i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -7, -14, -37, -82, -155, -262, -409?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -66 + 298. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (2 + -1)) + 0 + -24 + 47.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 9:43 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**3 - 1643*k**2 + 84*k + 699706 with respect to k.\nAnswer: -9*k**2 - 3286*k + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 205969.441 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 10274628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-11 - -7 - (-1 + -1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 4\/9 (c) 57323\/45 (d) -1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -274373, -44, -6.\nAnswer: -274373, -44, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131725 is divided by 32701.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n - 7. Let f(k) = -k**3 - 5*k**2 - k. Let s be f(-5). Let l be r(s). Solve -l*t = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -3, -1067769 in increasing order.\nAnswer: -1067769, -3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -20. Let f(z) = z + 13. Let n be f(-8). Suppose 2*m = -3*v + 21, 2*m + m = -n*v + 36. Solve -4 = w + r - 3, q = -w + 4*r + v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 17*q + 37 + 221 = 76*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**6\/360 + l**5\/120 + 7*l**4\/24 - 19*l**3\/6 + 43*l. Let k(j) be the second derivative of t(j). Determine k(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26c8 - 6d?\nAnswer: -2735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - -8982. Is 9042 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(48)\/sqrt(6)) - (sqrt(2736)*-2)**2) + -5 + 0.\nAnswer: -10949 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*n*p*q**3 + 1029*n*p*q**2 - 135*n*q**3 + n*q + 568*p*q**3 + 2*p*q**2 - 6*p*q - 22*q**2 + 1 wrt q.\nAnswer: -336*n*p - 810*n + 3408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/3)\/(8\/888) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -311*x**6\/30 - 53*x**3\/3 + 317*x. Find the second derivative of i(d) wrt d.\nAnswer: -3732*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/12 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, -11, 108, -10 in decreasing order.\nAnswer: 135, 108, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1202*h + 79747 + 3191 for h.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3217135 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from qqzqqqqqqqqq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -434, -1278, -2528, -4184, -6246, -8714?\nAnswer: -11588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189 and 9?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 12673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 23. Suppose -4*j - 6 = -4*o + 2, 4*j = 0. Let v = b - o. Calculate the highest common divisor of v and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (5 + 30\/(-4))*7256\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003912 rounded to 7 decimal places?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 118*b**2 - 119*b**2 + 1.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 75 = 20*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -125701*j + 1047124?\nAnswer: -125701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 6*o**2 + 9*o + 6. Let j(c) be the second derivative of -c**5\/10 + 11*c**4\/12 - 17*c**3\/6 - 11*c**2\/2 - 3*c. Calculate -6*j(q) - 11*t(q).\nAnswer: q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2523 - -3914. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401 + 5*b + 401.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**2 + 4*a**2 + 5*a**2 + 2*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 - 3*i**2 + i**2)*(2*i**2 + 1 - 1) + 10*i**4 + 2*i**4 - 8*i**4.\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-6)*(-4)\/(-10))\/(2\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.4 - -11.4. Is t < -864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - s + 4*s)*(0 - s + 0) - s**2 - 2*s**2 + 0*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 639, 2369, 5227, 9183, 14207?\nAnswer: 20269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 64\/(-4)*(-2)\/4. Let w(d) be the third derivative of 0*d**3 - 1\/420*d**7 + 0*d**4 - 1\/672*d**j + 0 + 0*d + 1\/240*d**6 + d**2 + 1\/120*d**5. Factor w(v).\nAnswer: -v**2*(v - 1)*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 488 divide 23024816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -89*r**2 + 3*r. Let f be ((-9)\/(-27))\/((-3)\/(-45)). Let x be z(f). What is x rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*(j**(1\/3)*j*j)\/j))\/j**(-3\/22) assuming j is positive.\nAnswer: j**(-145\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 186 = 3*s. Let y = -7 - s. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07757442 to 3 decimal places.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.48546 millilitres in litres?\nAnswer: 0.08748546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12447 + -12437. Let l be -2 + 0 + (-5)\/(-1). Suppose l*k + i = 52, -2*k - i + 36 = i. Calculate the remainder when k is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12, -10, 2, 30, 80?\n\"Answer: v**3 - v**2 - 2*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 85*r**2 - 6990*r + 1640 = 0.\nAnswer: 4\/17, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 18 = 9*i. Let n = -6 - i. Find t, given that -3 - n*t**2 + 1 + 5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 25*a - 131. Let c be b(5). Let r(i) be the second derivative of -i**3\/6 - i. What is r(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 0*s + 0*s + (0 - 3 + 1)*(-2 - 2*s + 2) - 1 - s + 1 + 2*s + 0*s - 4*s)*(-5*s**3 + 3*s**3 + 0*s**3).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5 = -60*o + 61*o, 3*a = 8*o - 40. Suppose -28\/23*u + a - 26\/23*u**2 + 2\/23*u**3 = 0. What is u?\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + s. Suppose -h = h - 8. What is the first derivative of 0*c**4 + s*c**4 + 2*c**h + 2 wrt c?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-1)\/(2\/(-12)). Suppose 3 = -3*q + r. Let p be ((-275)\/(-330))\/(10\/4). What is the closest to q in -3\/4, 2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2977, 2985, 2993, 3001, 3009, 3017?\nAnswer: 3025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 35?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.938 in -6, -5, 19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3190\/30 - 2\/(-3). Is -3 + -2 + a + -5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/10*(-120)\/(-18). Let u(x) = 3*x**2 + 77*x + 2 - x**2 - 44*x - 40*x + 53*x**3 - 11*x**2 - 54*x**3. Give u(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (sqrt(228) + sqrt(228) + 1*sqrt(228)))\/sqrt(4))\/(sqrt(33)\/(-2*sqrt(11))) + -5.\nAnswer: -5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 16746\nAnswer: -5\/16746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-12) + -3 - -930*(-12)\/(-288)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105899069 rounded to the nearest one hundred thousand?\nAnswer: -105900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*n - 5 + 4 + 26*n - 386*n**3 + n**2 - 74*n.\nAnswer: -386*n**3 + n**2 - 107*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3989 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/6 and 1\/39.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -n - 6*x - 6, 5*n + 5*x + 10 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + 18. Calculate the remainder when (10\/4)\/(430\/21672) is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) 2462 (c) 1818\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/792 and -85\/1764.\nAnswer: 38808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123*-1*((-475)\/285)\/(-5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5089725?\nAnswer: 3, 5, 22621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 12 + -4 - 4. Suppose -w - 7*y + 7 = -4*y, 4*y - 12 = -a*w. Calculate the remainder when 1 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -0.01634\nAnswer: -6.98366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -737*l + 8305*l + 2173*l to c + i*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5*((5*2*sqrt(1584) - sqrt(1584)) + sqrt(1584)))**2 - (3 + (sqrt(1584) - ((sqrt(1584) + 0 - sqrt(1584)) + sqrt(1584) - sqrt(1584)))**2*6)) + 5.\nAnswer: 3950503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -11*n**3 - 102*n**2 - 36*n + 2938. Determine i so that j(i) = 0.\nAnswer: -6, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d (base 14) to base 2.\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65784480.\nAnswer: 2, 3, 5, 31, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104.89 + -1.11. Let g = d + 106.13. Round g to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1572*(-9)\/396 + 75\/275?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4256.282 times 2\nAnswer: 8512.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -403 + -3.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqffff. What is prob of sequence fqf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, m: 6, y: 1, n: 2}. What is prob of sequence een?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1054 = 1102. Calculate the smallest common multiple of 45 and f.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5789, 5777, 5737, 5651, 5501, 5269?\n\"Answer: -3*b**3 + 4*b**2 - 3*b + 5791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.5, -3.55, -2\/125?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cddd when four letters picked without replacement from oddoddoc.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -34, -107.5 in decreasing order.\nAnswer: -3, -34, -107.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -40. Solve 4*b - 7*b = -v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101221 (base 3) in base 5?\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*r**2 - 5*r - 25*r**2 - 3*r wrt r?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 47166089.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 - 2*f as v*f + i and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 182 + -266. Let v = 84.00000296 + o. Round v to seven dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5463 + -5419. Calculate the remainder when 367 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r + 35*r = 76. Calculate the least common multiple of 10 and r.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3572 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 - u + u + (u**3 - 3*u**3 + 0*u**3)*(-4*u**2 + 4*u**2 - u**2) - 2*u**5 + 6*u**5 - u**5 + 2*u**5 + 0*u**5 + u**5.\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 3. Let n = 7 - m. Suppose i - 4*i - 26 = -2*q, -2*i + n = 4*q. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 14.27. Let l = -2.37 + s. Let c = 2.0999977 + l. What is c rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 33 = -2*l. Suppose 8 = 2*o - 2*s - 2*s, -5 = -4*o - 3*s. Let v(a) = -5*a + l*a + 5*a - o*a. Let f(n) = 4*n. Determine v(f(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49922848 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: Suppose -2*u = -6 - 6. Suppose -z + u = 4. Find the first derivative of 2 + z*x**2 - x**2 + 0*x**2 wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 27. Do y and -1\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619244 a multiple of 623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1268 and 95\/12?\nAnswer: 3804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 43*p - 1074. Let l be v(18). What is the greatest common factor of 200 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019262713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -11*u + 147. Let f be a(9). Let s = f - -459. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 - 2*s - s - s + (2 + 2*s - 2)*(0*s + 3*s - 4*s).\nAnswer: -4*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -523828*w**3 + 11*w**2 - 570*w - 1 wrt w.\nAnswer: -3142968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -4 (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*a = -7*a + 3, -a = 4*w + 4. Suppose -5*f - 4*y + 2 = -3*y, 2*f = -y - 1. Sort f, 3, w in increasing order.\nAnswer: w, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*d*r**3 - 5*d*r**2 + 46*d + 3*r**2 + 3 wrt r.\nAnswer: 15*d*r**2 - 10*d*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7077 divide 367310577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 - -5.11. Let p be (-175)\/55 + 2\/11. Let l be p\/1 + (-143)\/(-55). Which is the biggest value? (a) j (b) l (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2724, 1657 in decreasing order.\nAnswer: 1657, -2, -2724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 579599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (-15 + 10 - 2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50.26 - 10.1. Let m = x - 2.16. Which is the closest to 0.1? (a) m (b) 4 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -587 - 747 - 275*f**2 - 587 - 585 + 2507.\nAnswer: -275*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 5 = -68*j + 67*j, -3*j - 15 = 4*t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j + 12 = 0. Let d be (-3)\/j*5\/(-15)*0. Suppose d = -5*i + 3*r + 127, 0*i - 27 = -i - r. What is the greatest common divisor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, m: 4, p: 2}. Give prob of picking 1 p, 1 m, and 1 s.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 477, -0.1, 4, 5 in ascending order.\nAnswer: -0.1, 4, 5, 477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 10*l**3 + 12 + 2*l**3 + 16*l**3.\nAnswer: 28*l**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/m*m)**(-10)\/(m*m**(-1\/3))**(-49) assuming m is positive.\nAnswer: m**(128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2073 - 2020. Sort 1, 17, u in ascending order.\nAnswer: 1, 17, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p = 64*p - 15*p - 391690. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4344 = -4*x - 6*l, -5*x - 3*l = 5431. Let t = 1557 + x. List the prime factors of t.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13270171?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2392 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97*f*r**3*s + f*r**2 - 199*r**3*s - 73*r**3 - 4*r**2 + 13*r wrt s?\nAnswer: -97*f*r**3 - 199*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/75 + 43\/525. Let q = 1.8 + 0.2. What is the second smallest value in -1, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 42a8c0?\nAnswer: 42a8c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643202 is divided by 214393.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23716815 is divided by 590?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**5\/4 + 23*x**4\/4 - 25*x**3\/2 - 11*x**2 + 6*x = 0.\nAnswer: -6, -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 - 2 + 214 = 131*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (765\/68)\/((-10)\/16)*(-1)\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 - 22. Suppose 3*a - 110 = -2*a. Suppose -4*q + a = -238. Calculate the greatest common divisor of n and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 20 = s, -7*s = k - 2*s - 55 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*l - 130, -i = -4*l + 2*l + 55. List the prime factors of 4 - ((-998)\/6 - (-10)\/l).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -12231101000?\nAnswer: -12231101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3306, 3294, 3268, 3222, 3150, 3046, 2904?\nAnswer: 2718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*(sqrt(684) + 1))**2 + (3*-3*sqrt(684)*-2)**2.\nAnswer: 192*sqrt(19) + 232571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 - -12.2. Let g = 9 - u. What is the closest to 2 in 0, -0.2, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2987 (base 14) to base 11.\nAnswer: -55a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccvvvcvvccccqclcctcq. What is prob of picking 1 t, 1 l, and 1 q?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4370747 + -46811.6\nAnswer: 4323935.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 7*r**2 + 2*r - 9. Determine k(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1\/122 (c) -1 (d) -33.529\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 3*z - 1028. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.18 (b) 57 (c) 2 (d) 5.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705 = -166*k + 30*k + 1793 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7545 + -20020?\nAnswer: -27565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 2*r - 2*r**3 + (-4*r**2 + 0*r**2 + 3*r**2)*(0*r - 2*r + 4*r) - 186*r - 3 + 0 - 6*r**2 - 7*r**3 + 184*r.\nAnswer: -11*r**3 - 6*r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s = -19*s + 3*m + 36, 0 = 5*s - 2*m - 51. Suppose 0 = s*d - 6*d. Let v(c) = c**2 - 13. What is v(d)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -476*y - 165. What is the thousands digit of j(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.28 minus 0.00535506864296?\nAnswer: -1.28535506864296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/6*(15\/(-6) + 2). Which is greater: 11\/91 or q?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1867109 or -33607981\/18?\nAnswer: -1867109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9713710634 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30037 + -9681?\nAnswer: 20356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -268941945 > -268941945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(0*j**2 + 0*j**2 - 2*j**3) - j**2 + j**3 + j**2 - 13*j**2 - 3*j**3 - j**3 + 14*j**2 + (29 + 3 + 1)*(2*j**3 + 2*j**3 - 3*j**3).\nAnswer: 28*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:44 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/3 (b) 1.03 (c) 1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 159282846403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 94 - 0.24\nAnswer: 93.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-94)\/(-2) + 308\/(-44). What is the common denominator of (b\/180)\/((-2)\/(-12)) and -77\/306?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6f + 3?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2697 is divided by 684?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 11:56 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 4*k + 148, -5*t + 3*k = -3*t - 120. What is the common denominator of ((-39)\/t)\/((-1)\/(-2)) and 20\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from olooollolooolooool.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322*k = -37995 + 13201. Let j(z) = -z**2 - 19*z - 11. Let b be j(-9). Is k < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 6. Let r = -575 - -538. Let v = c - r. Calculate the smallest common multiple of 2 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 977467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.4655154 centuries?\nAnswer: 4.655154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 105 = -3*s, -135 = -0*v - 3*v + 3*s. Solve 5*a - 5*w = -v, -w - 12 = -4*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.37 + 0.63. Which is the closest to 3? (a) 1\/5 (b) z (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 34*s + 63 = 0. Solve s = 7*h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**2 + 29*k - 1. Let s be c(7). Solve s*b - 25 = 11*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.04456 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -9\/1759 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(((-6499)\/194)\/67).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2145 divided by 65.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 3*p + 2. Let j = -46 + 46. Is n(j) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2 + (-10 - 7 + 11)*(0 + 2 - 1))*(-6*k - 9*k + 3*k) + 2*k + 2 - 2 - 5*k + k + 3*k + (2*k - k - 3*k)*(-2 - 3 + 4).\nAnswer: 99*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 61 - 61. Suppose -2*k + a = 0, -3*k = -5*a + 10 + 4. Let y(x) = 4*x**2 + 4*x**2 - k*x**2. What is y(v(c))?\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**3*y - 25*s**3 + 907*s**2*y + 62*s**2 - 13*s + 14*y + 3 with respect to y.\nAnswer: 2*s**3 + 907*s**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 46.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide -142*(-7)\/(-14)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -2*d - 2*s - 3*s, -s = -d + 174. Suppose -27*p - d = -28*p. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + -5 + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 471603 + -4715981\/10. Let h be (2503\/(-4))\/((-6)\/(-68)). Let r = h - -7112. What is the common denominator of k and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + j - j)*(-2316*j + 1 - 1929*j - 5 + 4).\nAnswer: -4245*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 11*s = -15. Factor -2*l**3 - 3*l**2 + 3 - 7*l**3 + 9*l + 0*l**s.\nAnswer: -3*(l - 1)*(l + 1)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 308 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -640, -1613, -2936, -4777, -7304, -10685, -15088?\nAnswer: -20681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1695 and 249730.\nAnswer: 749190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 590 - 582. Let w = 20 - 10. Which is greater: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 + 2*x**2 + 8*x + 164. Does 3 divide b(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4*m*(m\/m**(1\/5))\/m)\/(m**(-2)*m*m\/(m*m\/(m*(m\/((m*m*m\/m**(-4))\/m*m))\/m)*m)*m)*(m**0)**(-1\/39)*m**6\/((m**1\/m)\/m) assuming m is positive.\nAnswer: m**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - -6) + (-1 - 7) + -18?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**2)\/d*d\/(d**4\/d)*d*(d**(-1)*d)**(-1\/4) assuming d is positive.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 163*s - 1628. Let z be l(10). Let f(r) = 2*r**2 - 2*r - 1. Let q be f(-1). Suppose -j = 2*w - 11, -q*j - w + 33 = z*w. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-10) - 168\/440. Let j = -3\/44 + l. Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -9.6, -3.4, 6, 75?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.094 and -508663 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 38*q + 161. Give y(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 258233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + (-9 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1538127 is divided by 1947.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 minus -390?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 - 178*v - v**4 + 4246*v**2 - 15*v - 4245*v**2 in the form g*v**4 + z*v**3 + o*v + a + d*v**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 776389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49856 and 2686976?\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*j, -t + 5*j + 12 = -18. Find the third derivative of -47*k**3 + 0*k + 48*k**2 - t*k**2 + 9*k**2 + 2*k wrt k.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171076 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 18 = -3. Let s(o) = -6*o**2 - 12 - 12*o + 26*o - 14*o + 8*o**2 - 10*o. Calculate the remainder when 58 is divided by s(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -12. Suppose 0 = d*f - 6*f - 18. Let g be (12\/1)\/(f\/(-12)). Calculate the highest common divisor of g and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80916 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/182, 7, 0.4 in descending order.\nAnswer: 7, 0.4, -1\/182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**4\/4 - 10*m**3\/3 + 3*m**2 - 25*m + 4. Suppose 0 = -4*v - 29 - 19. What is the tens digit of i(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000747 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -245430 to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**3 - f**2 - f. Let r be p(-1). What is the units digit of (-1)\/r + (77\/42 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -130*b - 81*b - 750 + 4126 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s. Let r(t) = 3*t - 1. Let h(k) = 23*k**2 + 4*k - 3. Let y(a) = -2*h(a) + 6*r(a). What is y(c(g))?\nAnswer: -184*g**2 - 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 172666, 172668, 172670, 172672?\n\"Answer: 2*p + 172664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -333*j + 1041. Let s be k(3). Solve -35*t = -21*t + s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvtvg. What is prob of sequence gvvt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**4 - 1004*l**3 - 3038*l**2 + 4040*l = 0.\nAnswer: -4, 0, 1, 505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17575 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 - 22*u**2 + 25*u + 9. Let x be w(-12). Suppose 5 = -2*c - 3*h, 3*c + 2*c - 35 = 2*h. Sort x, -4, c in decreasing order.\nAnswer: c, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.092 + 17. Let c = j + 0.052. Let y = -0.04000056 - c. Round y to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/5 + 5086*o\/5 + 135864\/5.\nAnswer: 2*(o + 27)*(o + 2516)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29\/10 - 3. Put 3, s, -0.5 in descending order.\nAnswer: 3, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, z: 4}. What is prob of picking 1 z and 3 r?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/2*12\/9. Let u be 26\/3 - (-2)\/i. Suppose 0 = -2*c - 6, 3*k = 4*c + u + 15. Solve 3*r - 2*r = 2*l + 8, k*r = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 323615330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 4. Suppose -j - 36 = -5*j. Let x be (j\/5)\/(18\/60). Let r be (x\/18)\/((-2)\/(-18)). Give b(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 31*o + 20. Let s = 1006 + -991. What is q(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k. Let y be (2\/(-6))\/(2\/(-7 + 1)). Let s(a) = 8 + y - 6 + a - 4. Determine s(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/5 - -5 - (-796)\/(-200)*-10?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 5216375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 21*v**2 + 12*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 878086 and 682.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 18*d + 146. Calculate f(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-17 - -25 - (21 + -3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**3\/3 + 28*r. Suppose 2*u + 6 = 10. Let p(z) = -14*z**2 - 3 + 2*z**u + z**2. Determine p(l(q)).\nAnswer: -44*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q - 116. Let k be o(39). Let g be (4\/(-374))\/(-1 + k + 6). Is 0 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 32. Let b = r + 6. Are b and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 2*s. Let c be k(2). Suppose -2*x + w = -49, -x - c*x - 5*w = -115. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 3. Suppose 26 = u*s + 1. Suppose -h + 5*b = -17, 0 = -4*h + s*b - 9 + 47. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -7 - (-25 - -40 - 17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2. Let d(m) be the third derivative of -419*m**4\/8 + 32*m**2 + 8*m. Calculate s(d(q)).\nAnswer: -1580049*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**5\/20 + t**4\/12 - t**3\/6 - t**2 - 2*t. Let x be h(0). Let k = x - -2. Solve k*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + c**3 - c**2)*(6 - 2 - 11*c - 3).\nAnswer: -11*c**4 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1100) + (sqrt(1100) + 1)*-2)**2.\nAnswer: 100*sqrt(11) + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32636 + -111?\nAnswer: -32747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 8:51 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 - 4.2. Let o = -0.01 + -0.05. Let l = o - 0.14. What is the nearest to l in -2\/9, i, 1\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2369 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-300)*-5*(-36)\/232. Let t = -25\/696 - l. Do t and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-15)*5\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 3*o**2 - 4*o - 6. Let w be s(-4). Is 9 a factor of 4\/w + 32\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -167950*t + 800. Let y be m(6). Round y to the nearest 10000.\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3 - (-19)\/(-3). Let t = 11 + y. Suppose s = -4*s + 80. Solve 2*p + 2*p = -2*d + s, 3*p - 19 = -t*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in -1\/4, 0.3, -316?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*d = -d - 4896. Calculate the least common multiple of d and 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 34615789 and -95939.7.\nAnswer: 34519849.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23160221, 23160298, 23160375?\n\"Answer: 77*b + 23160144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199, 435, 707, 1015, 1359, 1739, 2155?\nAnswer: 2607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3888) + 1)**2 + -3*(3 + sqrt(3888) + sqrt(3888)) + 4.\nAnswer: -72*sqrt(3) + 15548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*w**4 - 349 wrt w.\nAnswer: 84*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24624 and 6480.\nAnswer: 123120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -21?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**4\/4 - 22293*n**3\/2 + 579255*n**2\/4 - 534591*n + 400923 = 0.\nAnswer: 1, 6, 14849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q - 11. Let c be k(5). Suppose -2 = p - 6. Is c at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75084 is divided by 68?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/(-40)*(-4)\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + 4 + -1 - (-2367 - -2383).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*x**2 - 15481 + 30922 - 15440.\nAnswer: -206*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -735000 rounded to the nearest ten thousand?\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1080504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22150675 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1128*s + 7208*s = -208400 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 11*x**2 + 8*x + 6. Let j be ((-4)\/12)\/(19\/(-513)). Does 40 divide z(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/5))**0)**(-1\/11) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1877123?\nAnswer: 17, 110419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (8\/6)\/(3 - (-47)\/(-15)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*t*x + 7*t + 148*x wrt t.\nAnswer: 8*x + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.22 + -3.78. Let b = -19.00000204 - o. Round b to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a. Let t(g) be the first derivative of g**2\/2 - 1. Let q(m) = -4*m. Let c = -274 + 292. Let y(l) = c*t(l) + 4*q(l). What is y(x(p))?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 29*l**2 - l. Let d(x) = -10*x**3 + 351*x**2 - 3*x + 2491. Let k(s) = -d(s) + 3*n(s). Differentiate k(i) with respect to i.\nAnswer: 21*i**2 - 528*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -5*t + 9. Let h(r) = r**2 + 8*r + 11. Let f be h(t). Suppose f*w = -17 + 666. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from oqoqqoooqoooqooo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12016*22.5\nAnswer: -270360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2832 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*s + 4*q + 0*q - 5303 + 5319 = 0, 3*q = -s - 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 7) to base 6.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318270099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 790 and 3455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s - 30*s - 7 + 7.\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**2 - 3*f + 3. Let m = 8 + -6. Suppose -4*g + 6 = -m*g. Let y(o) = 4*o - 8*o - 6*o**2 - g + 5 + 2. Give 5*v(b) - 4*y(b).\nAnswer: -b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.385 - -0.285. Let p = -1.2 + 1. Which is the closest to p? (a) -3 (b) v (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 30 = -3*x, -3*x = x + 3*v - 11. Suppose -x*w = h - 297, 0 = -0*w - w + 5*h + 75. Let i be (-3)\/(-2)*w\/18. Solve i = 2*b + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -67*x + 1474. Calculate b(23).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 33779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1243357, -1243337, -1243303, -1243255, -1243193?\nAnswer: -1243117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1938 and 148542.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*l*p*y**2 - 67*l*p - 2*l*y**2 + 52466*l*y - 831*p*y**2 + 10*y**2 - 1 wrt p?\nAnswer: 4*l*y**2 - 67*l - 831*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 9*l - 6. Let b be j(5). What is the tens digit of (1 - b\/10)*-30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (41\/18860)\/((-3)\/(-60))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -486, -1969, -4456, -7947, -12442, -17941, -24444?\nAnswer: -31951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*4\/12 + -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j**2 + 478*j + 2. Let p(v) = 13*v**2 + 1010*v + 5. Calculate -2*p(z) + 5*q(z).\nAnswer: 4*z**2 + 370*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*x - 2 + 0 - 2*x + 0 + (9 - 9 - 8*x)*(6 - 2 - 3) - 3*x + 5*x - x - 4*x - x - x.\nAnswer: -17*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m = -17*m - 3920. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.98 - -2.04. Let h = -41.60054 + 41.54. Let v = h + y. Round v to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**5\/20 + f**3\/6 - 7*f. Let u(i) = 22*i**3 + 6*i + 9. Let y(c) = u(c) - 6*v(c). Differentiate y(x) with respect to x.\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 9995?\nAnswer: 2\/9995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -299 + 315. Suppose x*o = -8*o + 197928. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -2\/47337137, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 6:47 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(-1*sqrt(11) - sqrt(11)))\/(sqrt(400)*1 + sqrt(4)) - (sqrt(1200) + -2*sqrt(1200) + sqrt(1200))\/(sqrt(4) - -1*sqrt(4)*-3).\nAnswer: -sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49.03 + 0.97. Let s = x - 51.1. Let d be 14\/12*4\/28. Which is greater: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 386\/8 + 6\/8. Suppose 13 = -3*r + s. Calculate the greatest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 times 1.09\nAnswer: -20.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-3 - -3 - -1) + -5 + -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6475 - -6805. Solve -6*m + n = 348 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**3 + 3*v**2 + 2*v. Let u(f) = 9*f**3 + 7*f**2 + 5*f. Let n be -1 - (2 - 0 - -1). Let q(j) = n*u(j) + 7*k(j). Determine q(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4820 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: Suppose -6*v + 9*v = -3. Let p(s) = -s**2 + 6*s + 7. Let y be p(7). Suppose o = -y*o - 1. Is v greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 1. Let h(z) = 3*z**2 - 6*z + 6. Let q(f) = -6*a(f) - h(f). Suppose 9 = 4*p - p. Let l(k) = -10*k**2 + 5*k**2 + 9*k**2 - p*k**2. Give l(q(v)).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eql when three letters picked without replacement from {c: 1, l: 3, h: 6, e: 5, x: 1, q: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15*a**3 - 2*a**2 + a. Let z be c(2). Suppose 0 = -5*m - 10, -f + z = 4*f + 3*m. What is the greatest common divisor of 120 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**2 + 2617*u - 1444366 = 0.\nAnswer: 791, 1826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-7)\/(-1))\/((242\/(-11))\/11)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1382, -2705, -4096, -5549, -7058, -8617?\n\"Answer: a**3 - 40*a**2 - 1210*a - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**3\/4 + 1481*f**2\/4 - 625839*f\/4 + 55187559\/4 = 0.\nAnswer: 119, 681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7562*h + 416730 - 416730)*(0 - 2 + 4).\nAnswer: 15124*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f**2 + 725*f - 12592. Determine w(-87).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (11 + 11) - (0 + 5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2 - 160*h - 3024 = 0. Calculate h.\nAnswer: -14, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3229392 + 7515*l + 3229392 to the form n*l + j and give n.\nAnswer: 7515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 13 + -5 + -14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(4\/3))**(-43)*(g**(-11))**23 assuming g is positive.\nAnswer: g**(-1060\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 3. Let c(g) = 62501*g**2 + 2*g. Let f be c(h). Round f to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 4\/(-11 - 13) - (-19)\/6?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 10 + 6 = 0. Suppose -4*o = 20, -3*i - 2*o = -0*i - 38. What is the smallest common multiple of y and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110220 - 202?\nAnswer: 110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**5\/20 + y**4\/6 - 2*y**3\/3 + 5*y**2\/2 - 27*y. Let v be j(2). What is the units digit of 4 + 3\/v - (-228 + 12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2. Suppose -2*a = 6*q - 4*q - 110, a = 5*q + 73. Let t(n) = -2*n + 58 - a. Give t(c(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8946 is divided by 66?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8071506\/(-984)*(-68)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 0.7, -12, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-222)\/9*18\/12. Let x = b + 37. Solve t - 5*t + 8 = x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23304565?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19, -12, 7, 44, 105, 196, 323, 492?\n\"Answer: c**3 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.636 + 0.636. Let x = 12.5 - 14.5. Which is the nearest to -0.2? (a) 0.01 (b) x (c) f (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1830\/(-2013) + 12\/(-11). Which is the nearest to g? (a) -0.146 (b) -0.12 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 + 2*y**4 - 3*y**4)*(-2 + 2 + y) - y**5 + 0*y + 0*y.\nAnswer: -4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.412.\nAnswer: -0.0412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - t**2 + t - 16. Let j be k(0). Let y = 19 + j. Solve 2*f + 3 = -y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.32 + 14.58. Let k = s - 0.3. Let u = 0.6 - k. Is 0.1 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (-5 + 5) - (-3 + (-13 - -26))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369 = -4*q + 151. Calculate the highest common factor of 26 and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + l - 2*l)*(4 + 891*l + 424*l - 395*l - 151*l + 1050*l).\nAnswer: -9095*l**2 - 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6*(h**(-2)*h*h*h)\/h)\/(((h\/(h**(2\/3)\/h))\/h)\/h**(1\/5)))\/(((h\/(h\/((h*h**8)\/h*h*h*h))*h)\/h**(1\/2))\/(h**1*h*h**(-6))) assuming h is positive.\nAnswer: h**(-289\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183*s**5 + s**4 + 1595*s**3 + 10*s**2 + 105112*s wrt s?\nAnswer: -10980*s**2 + 24*s + 9570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 8 + 25*w - 23*w - 14 + 2. What is b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 14*x - 15. Let o be b(-15). Let a(c) = 9*c**3 - 12*c**3 + o*c**3 + 14*c**2 - 5*c + 2. Calculate the remainder when a(3) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1826 - 1690. Let u be (-5 + 1)\/((-4)\/(-30)). Let x be u\/(-9)*(-24)\/(-10). What is the greatest common divisor of a and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16, -18, -20, -22?\n\"Answer: -2*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-3) + (-4 - -12). Let p(d) = -14*d + 9*d + j*d. Calculate p(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1467566 to the nearest integer?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 4*s + 3 = -1, 1 = 3*t - s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6477 + 6685. Which is bigger: -2\/37 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -20*w. Let g(f) = 3*f. Let r(d) = 4*c(d) + 26*g(d). Let k(z) = -18*z**2. Calculate k(r(a)).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4967.057kg to micrograms.\nAnswer: 4967057000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 15*u**2 + 11*u - 17. Suppose -17 + 39 = 2*b. Let i(r) = 23*r**2 - 11*r**2 + 68720 - 68726 - 7*r**2 + 4*r. What is b*i(h) - 4*d(h)?\nAnswer: -5*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4906 - 4023.1. What is w rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 times 0.183?\nAnswer: -0.05856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -243, -485, -727, -969, -1211, -1453?\n\"Answer: -242*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i - 48. Let k be s(0). Let y = -21 + -12. Let r = y - k. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(512)*-6))**2.\nAnswer: 7\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 930400.9 milligrams?\nAnswer: 0.9304009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19382?\nAnswer: 2, 11, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 0 (b) -6\/7 (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/16*-6)\/(4\/((-15088)\/(-138))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 + -1317664?\nAnswer: -1317703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-3 - (8 + -7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -1.1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from emjbbkkmbbkbeae?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017287863 rounded to 5 decimal places?\nAnswer: 0.00173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**3 - t + 0 - 3 + 5*t + 29*t**2 - 32*t**2. Let v be 10\/55 - 60\/(-33). What is the units digit of p(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (330\/(-44)*(-3)\/(-30))\/((-105)\/10)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.638810657 rounded to 5 dps?\nAnswer: -0.63881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 17. Let i be 2\/(-1) - (-6 - j). Suppose 647 = i*v - a, 5*v - a + 295 - 1103 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = 0. Suppose 12 = -w*c + 4*c. Differentiate 1 - 2*l**4 + 13*l**c - 13*l**3 + 1 with respect to l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0844 and -1243323024.\nAnswer: -1243323023.9156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**4\/4 + 2*b**3 - 7*b**2\/2 + 2*b - 4. What is v(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 3*l + 2. Let c(f) be the second derivative of f**3\/3 - f**2 + f. Let h = 2 + -4. Let b(n) = h*u(n) - 3*c(n). Let b(p) = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h + 2. Let y(x) = -5*x - 3. Let v be (90\/50)\/((-1)\/5). Let a be ((-3)\/v)\/(4\/(-24)). Determine a*y(u) - 3*n(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bobybooyioybbybtb. What is prob of picking 1 y and 1 t?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2783228.\nAnswer: 2, 7, 99401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1483 is divided by 96?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 561039746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*n + 16, -2*n + 0*j + 12 = 4*j. Solve n = l - 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in -0.99, 2, 8\/105?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 18. What is the remainder when ((-22)\/5)\/(y\/(-40)) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310421540 (base 6) in base 13?\nAnswer: 11555c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*f - 54*f - 18 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 931.2638 millennia to decades.\nAnswer: 93126.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 7*o**2 - 7*o + 11. Let u(r) = r**3 + 3*r**2 - 3*r + 5. Let q = -24 - -8. Let b be -19 - q - 2*2. Determine b*u(d) + 3*f(d).\nAnswer: -d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43653.6125 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 24*x**2 - 24*x - 1. Is t(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-2 + 0))*2. Let q be (2\/1)\/(j\/(-8)). Let c(r) = 5*r. Is c(q) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 9*n + 15*n - 8 = 0. Put 3, -5, n in descending order.\nAnswer: n, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -16. List the prime factors of 26*(a + -1)\/(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29 + 5 - -11) + 21\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6996, -0.01, 6, 11?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 39*t**2 - 9*t. Let q(a) = -1665*a**2 - 175*a - 55. Let n(d) = -182*d**2 - 19*d - 6. Let g(u) = 55*n(u) - 6*q(u). Give -9*g(m) - 5*y(m).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p + 20. Let m(d) = -d + 1. Let u(s) = -h(s) + m(s). Let w(q) = q + 1. Let l(c) = -u(c) - 4*w(c). List the prime factors of l(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -13*k**3 - 5*k**2 + 17*k - 3. Calculate l(2).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5503, 7, -4, -10 in ascending order.\nAnswer: -10, -4, 1, 7, 5503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (8 - 2) + -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 minus -566931.93263?\nAnswer: 566932.05263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = 39*w + 11*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 283266 (base 10) to base 2\nAnswer: 1000101001010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*x**3 + 18*x**4 - 55*x**3 + (294 - 14966*x + 672*x - 4250*x - 294)*(x**3 - 2 + 2) to f*x**3 + l*x**2 + r*x + k*x**4 + c and give k.\nAnswer: -18526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (3 + -1 + (0 - 46) + (-120 - -108))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305384*r + 297568*r - 602942*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (5 - 1 - 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**13)\/(n**(-4\/13)\/n))**(5\/8) assuming n is positive.\nAnswer: n**(995\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by 1633?\nAnswer: -40\/1633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3 and -0.9?\nAnswer: -1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 45\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -50245 divided by -3?\nAnswer: 50245\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038679189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 - 38*i**2 + 25*i + 29. Let k(z) = z**3 + z**2 + 2. Let h be k(-3). Is t(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0234673444 rounded to 4 decimal places?\nAnswer: 0.0235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -80c9c + -2?\nAnswer: -80ca1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**4\/6 + 13*c**2\/2 - 10*c. What is the first derivative of z(u) wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 7. Let m be z(6). Suppose 0 = -m*q, 2*j - 3*q = j + 4. What is the lowest common multiple of j and (16\/60)\/(1\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = i - 2340, 2*n - 2*i - 2316 = 3*i. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 444 and 16613.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117719?\nAnswer: 7, 67, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*r - 284 + 247. Let x = -0.4 - 3.6. What is the smallest value in x, -7\/2, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1659*k**3 - 21*k**2 + 46*k + 1 wrt k.\nAnswer: -9954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i + 66 = -0*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -67*h**2 - 183*h. Calculate k(-1).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 251704, 503417, 755130, 1006843, 1258556?\n\"Answer: 251713*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 3:03 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 123779 divided by -6\nAnswer: -123779\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*d**2 - 32*d**2 + 18*d**2 + 1 - 8*d + (d + d - 3*d)*(1 - 1 - 2*d) as u*d**2 + x*d + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 887169 is divided by 27724.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*s + 404, 2*s = -8*f + 3*f + 1010. Let d = -7625 + 7630. Suppose -i + g = -f, d*i = -g - 3*g + 983. What are the prime factors of i?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6650 divided by 475\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (300\/(-16875))\/((-9)\/(-30)*(-4)\/(-3)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(4*j**4 - 3*j**4 - 3*j**4) - 2*j**3 + 2*j**3 - 3*j**4 + (-2*j**2 + 0*j**2 + j**2)*(24960 + 635*j**2 - 24960) - j**4 - j**3 + j**3.\nAnswer: -641*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + (3 + sqrt(325))**2.\nAnswer: 30*sqrt(13) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -539659 - -2.\nAnswer: -539657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3326 - 1.2326. Let i = -2.93 + -0.07. What is the biggest value in z, 1\/3, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72610 and 5?\nAnswer: 72610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 10 = -2. Solve 3*c - h*o = 19, -4*c - o - o = -18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/((-2)\/(-16)). What is the remainder when (-6)\/i - 2\/(-4) is divided by (0 + (-132)\/(-44))\/(0 - (-3)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 5)*(23*r**3 + 3479064573*r**2 - r - 6*r**3 + 0*r - 3479064572*r**2).\nAnswer: 51*r**3 + 3*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xthxxxxxxxtxxxxxx. What is prob of sequence xt?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-67 - -31)*(-1)\/(-4) + 1214.\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 6395\/896 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59253?\nAnswer: 3, 19751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((162\/(-225))\/9)\/(2\/10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 46 = -1. Suppose 0 = -3*l + 2*g + 3*g + 166, 2*l - 2*g - 108 = 0. What is the remainder when l is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10908393 and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.4, -0.8, 3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 16*c - 19. Let s be m(13). Suppose -18 = -x - s. What is the third biggest value in x, 1, 8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6 + 3. Let t = -952 - -952.9. Let z = 26 - 27. Which is the nearest to z? (a) -5 (b) q (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**2 - 5*w + 5. Let r(b) = 4 - b**3 + 13*b**2 + 2*b**3 + 12 + 13*b. Let m be r(-12). Let o(q) = 4*q**2 + 4*q - 4. Give m*o(a) + 3*v(a).\nAnswer: a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -10*y**2 - 2*y + 5. Let z(p) = -p**2 - p. Determine s(a) - 4*z(a).\nAnswer: -6*a**2 + 2*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1216, -2441, -3674, -4915, -6164?\nAnswer: -7421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -1\/224*w**8 - 1\/16*w**6 + 4*w**2 + 0 + 0*w**3 + 1\/20*w**5 + 0*w + 1\/35*w**7 + 0*w**4. Factor i(k).\nAnswer: -3*k**2*(k - 2)*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44\/5*f + 2\/5*f**2 + 0 = 0. What is f?\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 67*s*t**3 + 134*s*t**2 + 3*s - 5*t**3 + 20473*t wrt s.\nAnswer: 67*t**3 + 134*t**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 + -0.02. Sort y, -0.2, -0.4.\nAnswer: -0.4, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 59 (c) -2\/7 (d) -2 (e) 465\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnf when three letters picked without replacement from {n: 2, b: 2, f: 4, x: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**3 - o**2 + 7*o + 13. Let l be c(-4). What is the greatest common divisor of 63 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4*q + 40 + 38 + 3.\nAnswer: -4*q + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 517 or -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 89535 + 89509 = -5*f, -5*f = -3*x - 33 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.006 (b) -13 (c) -3 (d) 1\/2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 8. Let s be n(7). Which is smaller: -7 or s?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54227964905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -271*h + 2606. What are the prime factors of z(9)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-27) + 1409136\/27. Let t be (3 - 0) + i\/(-22). Let s = -2371 - t. What is the common denominator of s and -107\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 334, 29, 1522, -5, -2\/5 in decreasing order.\nAnswer: 1522, 334, 29, -2\/5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 < 1870\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0 = 6. Let t = -10 + d. Let w(o) = 5*o - 130. Let h be w(27). Put h, t, 3, 0 in descending order.\nAnswer: h, 3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(605) + 4)*4 + 2 + ((sqrt(275)\/sqrt(5) - sqrt(55))\/sqrt(11) - (-4 + 4 + sqrt(5)))))**2.\nAnswer: 13932*sqrt(5) + 86121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, r: 6, a: 1, f: 3}. Give prob of sequence rro.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429659 is divided by 601.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1454*f - 133*f - 397404 = 1624*f + 1520*f for f.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 125850790 rounded to the nearest 10000?\nAnswer: 125850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 0, -x + 2*x - 95 = 5*v. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-95)\/25)\/19 + (-14)\/5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, 353, 813, 1275?\nAnswer: 1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/11475 and -179\/201450.\nAnswer: 1813050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1471249 is divided by 577.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 1)\/(-3 - -4). Suppose 5*m - m = -4*f + 16, -4*m - 3*f = -17. Suppose y = 2*w - 5*n - 94, -177 = -m*w - 2*n - 0*n. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10105 + -10090. Calculate the remainder when (8\/6)\/(2\/36) is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1381034?\nAnswer: 2, 19, 36343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2\/5)*g)\/(g*g*(g\/g**1)\/g))\/(g*g**(5\/4)*g*g**(-12)*g) assuming g is positive.\nAnswer: g**(183\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -21. Let j = -34 + 40. Calculate the smallest common multiple of l and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 317*y**3\/6 - 29*y**2 + 25*y + 3. Differentiate d(s) with respect to s.\nAnswer: 317","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - z - 2, 5*i - 3*z - 9 = -3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + x. Let d(t) = -15*t + 9. Let h(j) = d(j) + 2*i(j). Let l(k) = k**2 - 6*k + 4. Let z be -3*4\/(-72) + 700\/(-168). What is z*h(c) + 9*l(c)?\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 796487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 8*j**2 + 6*j - 6. Let x be o(-9). Let u be ((-1)\/3)\/((22\/(792\/(-27)))\/(-9)). Sort u, x, 4 in descending order.\nAnswer: x, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v**3 + 13*v**3 + 9*v**3 + (3*v - 4*v + 0*v)*(2*v**2 + 0*v**2 + 0*v**2) + 290 + 78*v**3 - 290 in the form q*v + z + m*v**3 + y*v**2 and give m.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcqqccccqccnqcnqqcd. What is prob of picking 2 q?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 + 0*u + 0*u - 769 + 769.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - u + 1. Let l be 2 + (-20)\/11 - 399\/77. Let d(x) = -x**2. Determine l*d(g) + 2*r(g).\nAnswer: 3*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.245 rounded to one dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 8. Let h be f(-5). Suppose -2*y - 13 = -2*l + y, 5*l - h*y - 19 = 0. Is l bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**4 + 10069*h**2 + 159532*h wrt h?\nAnswer: -36*h**2 + 20138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 18\/27)\/((2\/(-7))\/(-36 + 90))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2443559824 a multiple of 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - q + 82*q**3 - 1 - 193*q**3 + 857*q**3.\nAnswer: 746*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4704*b = 4703*b + 72, 2*l - 14*b - 42 = 0 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/166 (b) 4 (c) 1 (d) -0.3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 73302920*i - 439817700.\nAnswer: 5*(i - 14660590)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -6. Suppose 3 + 1 = -z*r, x = 5*r + 10. Let q = x + 5. Solve -h + q = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvrvvvvvvvvvvvvvvv. What is prob of sequence vrvv?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(2\/(-15)*-11*3\/55)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 108 = 13*b. Let n be (-3)\/b + 259\/35. Solve 8*m + 0 = -n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176036, 704110, 1584250, 2816462, 4400752, 6337126?\nAnswer: 8625590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8427159 a multiple of 1431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {b: 3, p: 13}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 10*f - 7. Suppose -10*u + 6*u = 36. Let r be w(u). Suppose -10 = -r*h + 2. Solve -3*i + h*i = -15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 61768*q + 953821456.\nAnswer: (q - 30884)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i = -38*i + 705. Let a = i + 237. Let p = 0.12 + 0.88. Put -4, -1, a, p in increasing order.\nAnswer: -4, -1, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -17379\/14389?\nAnswer: -17379\/14389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 154713\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4124, -2, 2\/45307 in decreasing order.\nAnswer: 4124, 2\/45307, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + -3*((sqrt(448) - (2 + sqrt(448)*1)**2 - (sqrt(448) + 0)**2*1) + -4).\nAnswer: 72*sqrt(7) + 2712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 551\/5 - (-4)\/(-20). Suppose -l = -6*l + g. What is the remainder when l is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 450 and 440.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.37 + 2.47. Let n = 35 - 106\/3. What is the nearest to 0 in n, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 21*t**2 + 22*t + 19. Give q(-20).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9*w**2 - 4*w - 4. Let m(o) = 11*o**2 + 4*o + 5. Calculate 4*m(r) + 5*x(r).\nAnswer: -r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 493 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d + d)*(0 - 2 + 4) + (3 - 5 + 1)*(3 + 3*d - 3) + d + d - 4*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -27, -47, -65, -81, -95, -107?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21936947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1661945 is divided by 1744?\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152428?\nAnswer: 2, 53, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*c**3*l**2 + 2*c**2*l**2 - 7*c*l**2 wrt c.\nAnswer: -384*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 - 25*z**2 + 2*z. Let h(s) = -s**3 + 12*s**2 - s. Let r(f) = 6*b(f) + 13*h(f). Let j = 1231 + -812. Let y = -413 + j. What is r(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 6. Let t = -5 - -6. Let s(a) = -1. Give t*w(i) - 6*s(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**3 - 3*g + 2. Let k = 592 + -587. Let r(o) be the second derivative of o**5\/10 + o**3\/3 - o**2\/2 + o. What is k*r(f) + 3*h(f)?\nAnswer: f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (44\/8)\/(1\/(-2)). Let b(n) = n + 5. Give b(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9*i**2 - 3*i. Let p(c) = 19 - 35 + 16 + 4*c. Give l(p(y)).\nAnswer: -144*y**2 - 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 378365*d + 378366*d + 50 = 0, -4*f - 4*d = -88 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*t**2 + 99*t**2 + 3*t**3 + 106*t**2 + 105*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8882594326 to the power of 1\/2, to the nearest integer?\nAnswer: 94248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvrvvrv. Give prob of sequence vrrr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Let r(f) = 2*f + f - k*f. Let v(s) = 2*s**3 - 4*s - 2. Let h(w) = w + 3. Let i be h(-5). Give i*r(g) - v(g).\nAnswer: -2*g**3 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**4\/24 + k**3\/6 - 7*k**2. Determine g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from rurururrvurruuuuz.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 4*g = 16*h - 6*h, 31*h - 3*g + 59 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133111120 - -32?\nAnswer: -133111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d - 7. Let y be w(5). Suppose -4*t + y = -5*g, t + 5*g + 7 = -1. Let l be 82\/t + (-4)\/(-14). Calculate the highest common divisor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 9:27 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n + 16 = 2247*c - 2251*c, 0 = 4*c - 2*n - 24 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 11*d**2 + 11*d - 5. List the prime factors of z(8).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i + 79 = 219 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o - o - 2*o + (-2 - 1 + 2)*(11*o + 37*o + 16*o) + 2*o - 3*o - o.\nAnswer: -65*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/19*6\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-4)*p*p))**(2\/37) assuming p is positive.\nAnswer: p**(6\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 777?\nAnswer: 777.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 33 - 221*p - 76 - 6*p + 43. Let c(j) = j**2. What is k(c(z))?\nAnswer: -227*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8111, -2, 4 in descending order.\nAnswer: 8111, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(4\/(-3)) - 473\/(-86). Let s(q) be the third derivative of 0*q + q**2 + 7\/6*q**c + 1\/3*q**5 + 0 + 1\/30*q**6 + 2*q**3. Factor s(g).\nAnswer: 4*(g + 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18571791?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34534 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4214 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64353749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31507742?\nAnswer: 2, 7, 191, 11783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -101014 (base 5) in base 14?\nAnswer: -128b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**2 + 5*z. Let q(d) = -4*d**2 + 4*d. What is -6*q(n) + 5*w(n)?\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 9*v + 20. Suppose 0 = v*q - 3*q - 3360000. What is q rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q + q**3 - 13*q**4 - q**3 + 12*q**4 wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2 = q. Let m be ((-6)\/(-14) - q)*-7. Solve 4*r + 16 = m*x, -x + 4*r - 1 + 5 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -205991 and -205985 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 1. Let v = -19548 + 19561. Calculate the remainder when v is divided by s(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 232 + 70 = 0. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6076, 6258, 6430, 6586, 6720, 6826, 6898, 6930?\nAnswer: 6916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 974906 is divided by 727?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -32\/5 (b) -20.1 (c) -9 (d) 2\/17 (e) 0.3 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9587*a - 194051 = 10944*a for a.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/((v\/(v*v**(-4)*v))\/v*v))\/v)\/v)\/(((v**28*v)\/v)\/v)*(v\/(v\/v**(-2\/35)))**(-3\/19) assuming v is positive.\nAnswer: v**(-19944\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 1817811?\nAnswer: 1817809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (1*sqrt(99) - sqrt(99)))\/sqrt(3) - sqrt(363)\/(-1*sqrt(11)))\/(-1*sqrt(22)\/(-2*sqrt(2))) + 3.\nAnswer: 3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -256*q**3 + 4*q**2 - 5. Let n(x) = -1280*x**3 + 19*x**2 - 26. Let k(z) = -2*n(z) + 11*u(z). What is the third derivative of k(d) wrt d?\nAnswer: -1536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -15527957\nAnswer: 1\/15527957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1369 + -1399 + (2 - 4) + 107\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*j + 40, c = -2*j + 3 - 7. Factor -8*m**2 + c - 9*m**2 + 13*m**2 - 6*m.\nAnswer: -2*(m + 2)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(sqrt(42) - -1*sqrt(42)))\/sqrt(6) + -2.\nAnswer: -1 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39753 is divided by 284.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v - 6. Let h be (-34)\/85*(-1 - (-34)\/4). What is d(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22032625669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51 - 1915 + 318 - 1442 - 159)*(0*a**3 + a**3 + 2*a**3) to the form s*a + v*a**2 + t*a**3 + h and give t.\nAnswer: -9747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + 162 - 11 + 140 + 3*p**2 - 2*p**2 + p**2 + (-3*p + p + 4*p)*(2*p + 0*p + 0*p) + 2*p**2 - p**2 - 3*p**2 - 2*p**2 + 5*p + 11*p - p.\nAnswer: 3*p**2 + 15*p + 291","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 176, 199, 242, 311?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 52\/11 (b) 0.84 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1337 - 1337.003836. What is b rounded to 4 dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-38 + 27 + 2 + -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433533 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6225 is divided by 3109?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1104 less than -1161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1346 * -78.\nAnswer: -104988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -101, -101, -95, -77, -41, 19, 109?\n\"Answer: y**3 - 3*y**2 + 2*y - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 7:31 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 1:07 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3*k = -a - 14, -5*k + 22 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (149*1)\/((-756)\/77 - 3). Let t = q + 35\/3. Is 1 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0 + 0)*(-50 + 50 - 3*l)*(-4 + l**2 + 4).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4\/4 + 9*l**3\/2 + 9*l**2\/4 - 39*l\/2 - 18 = 0 for l.\nAnswer: -4, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*c**6 + 4305*c**4 + c**3 + 17733*c**2?\nAnswer: -960*c**3 + 103320*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7834 + 11354. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -130, 196, 990, 2408, 4606, 7740, 11966?\nAnswer: 17440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from zpzpzzpzblzonzzozzz?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**5\/5 - 109*t**4\/5 - 188*t**3\/5 - 76*t**2\/5 = 0 for t.\nAnswer: -1, -2\/3, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1239489.\nAnswer: 3, 29, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 2349?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5867052 - 25.9.\nAnswer: 5867026.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -611141, -1222282, -1833423, -2444564, -3055705, -3666846?\n\"Answer: -611141*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 + m - 55 + 9 - m**3 - 2*m as f*m**3 + u*m + r + z*m**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60*(-36)\/(-94176)*(-4)\/10*2.\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 81 - 156 + 72 + 5*r. What is o(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5672 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -51*d**3 + 4*d**2 - 9*d + 22. Let v be w(4). What is the units digit of v\/(-16) - (-7)\/56?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/9 or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233992 is divided by 46797.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-5*(0 + sqrt(2057)))**2 - (1*sqrt(2057))**2*-5).\nAnswer: 61708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*p - 3 = 9, -4*w = -4*p + 16. Let f = -3 - w. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5)\/20 - (-861)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 7:09 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 14*m + 2*y - 6, m - 3*y = -32 + 33 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 25, 2, 4\/25?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by (-9)\/36 - (-483)\/12.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.3004998 and -5.\nAnswer: -46.502499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018477883 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/14, 0.3, -1, 4.6 in increasing order.\nAnswer: -1, -1\/14, 0.3, 4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 0.13?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 26 = 33*k - 30*k, 4*k = -p + 32. Suppose -4*u = -0*u - 16. Solve 0 = s + 2*c, 0 + p = -u*c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/((2\/(-21))\/(594\/(-18711))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 4*i - 4. Let u be x(-5). Solve -c + 1 = -u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -6 (c) -779 (d) 2\/3 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 2, 0 = -3*j - 221*l + 226*l + 14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (-1)\/(3\/33). Suppose 2 = 2*a - v. Let o(i) = -i**2 + 3*i + 5. What is o(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 127*l**2. Let q(u) = 36*u**2. Calculate q(t(h)).\nAnswer: 580644*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 + 232*f + 1061. Let o be h(-5). Sort -16, 2, 25, o in descending order.\nAnswer: 25, 2, o, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4320 (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -372 - -773. Let h = -819\/2 + q. What is the common denominator of h and -49\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 1. Let j be w(-9). Let l(b) = -b**3 + 8*b**2 + 6*b - 17. List the prime factors of l(j).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -5*r + 4. Let y = r + -3. Let f(a) = -2465*a - 64089. Let p be f(-26). What is the greatest common divisor of p and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -243*l**2 - 3. Let o(a) = -a**2 + a - 1. Let i(u) = b(u) - 2*o(u). Let k be i(-1). Let g = -36 - k. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6105, -6173, -6253, -6345?\nAnswer: -6449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 6*o - 2*o + (-2*o + 5*o - o)*(0 + 1 + 0) - 19 + 53*o + 19)*(178*o**2 + 165*o**2 - 284*o**2).\nAnswer: 3363*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -386116, -772232, -1158348?\n\"Answer: -386116*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*r, 2*r = -3*g + g. Suppose 5*t + 11 = z - g*t, z - 3*t = 11. Calculate the remainder when z is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + q - 178. Let p be g(-14). Which is the closest to -12? (a) -4 (b) 2\/15 (c) p (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 3*u + 9. Suppose 3*d - 30 = 3*o, 3*d = -d + u*o + 44. Calculate the remainder when (-3 - 0)*40\/(-3) is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhojhjhj. Give prob of sequence hh.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/6, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1817*i**2 - 111*i**3 + 333*i**3 + 1762*i**6 - 112*i**3 - 110*i**3 wrt i?\nAnswer: 211440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**0)\/f*f*f)**(-19\/4)\/((f*f**(-2\/11))\/(f\/(f\/((f*f**(-2\/9)\/f*f)\/f)))) assuming f is positive.\nAnswer: f**(-6055\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 5*w. Let i be ((-19)\/(-2))\/(3\/(-12)). Let d = i + 34. Calculate p(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143\/2 - -73. Determine d, given that -1\/2*d**5 - 1\/2*d**3 - 3\/2*d**2 + 0 + d + f*d**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -345674395040674395\/628192 + 550268699764. Let v = -1\/19631 - i. Calculate the common denominator of 53\/36 and v.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 12:25 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1249.9998023 + 1250. What is u rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*l + 1 - 24*l - 26*l + (-14*l - 26*l + 10*l)*(0 - 4 + 3).\nAnswer: 9*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 5. Let g(z) = 5*z**2 + 5*z + 3. Let c(f) = 3*f**2 + 3*f + 2. Let a(o) = -7*c(o) + 4*g(o). Let d be a(-2). What is i(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/6927 and -45\/4618?\nAnswer: 13854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 4*x - 260, 0 = 2*q - x + 2*x - 101. Let t = 241\/5 - q. Are t and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 736138 (base 9) in base 6?\nAnswer: 13213312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*w - 5. Let g be (-14 + 14)\/(0 - w). Solve g = -r - p + 2, -r + p - 14 = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13037991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4\/2 + 56085*q**3 - 1793847*q**2\/2 - 1962108*q - 1009098 = 0. What is q?\nAnswer: -1, 18, 37374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.50618882 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.655 + -0.6256. What is r rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (12 - 11) + -7 + (-2 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*j = -2*j - 30, 5*r = -4*j + 149. Calculate the highest common factor of r and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/104677 or 0?\nAnswer: 1\/104677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 5*z + 11. Let o be a(6). Suppose 0 = -v + 3*v - 2*b + 8, o*v + 5*b = 0. Sort -5, v, -4 in decreasing order.\nAnswer: v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 74835, 299386, 673649, 1197624, 1871311, 2694710?\n\"Answer: 74856*m**2 - 17*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 1 - 1)*(1 - 1 - 2 - 5*g).\nAnswer: -5*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978147751.\nAnswer: 7, 17, 1174247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 444*d - 4869. Give p(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279 = 2*y - 10*j + 7*j, 538*j + 88 = -y + 537*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -141 + 633. Suppose -4*d - k = -7*d. Let w = -79 + d. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {l: 2, c: 3, k: 4, f: 1, r: 1, p: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -116, -119, -86, 1, 160?\n\"Answer: 3*t**3 - 24*t - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, l: 6, k: 1, j: 3, v: 4, n: 1}. Give prob of sequence ll.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -2*(-8)\/1. What is the units digit of ((-153)\/l)\/(4\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*y - 198*y + 329*y = 101 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 180574881 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 356.981l in millilitres?\nAnswer: 356981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -185*p**2. Let u(k) = 15*k. Determine q(u(j)).\nAnswer: -41625*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 24892 = 161482. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -312569 * -12\nAnswer: 3750828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6460 (base 14) to base 7\nAnswer: -101350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 63888*p**3 + 167 - 104 + 397 - 66124*p**3 wrt p.\nAnswer: -6708*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 122730, 122777, 122848, 122937, 123038?\n\"Answer: -t**3 + 18*t**2 + 122713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577564?\nAnswer: 2, 13, 29, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 104.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 902610 and 18?\nAnswer: 902610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1.1, -0.1, -2\/3, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 20 = 3*j. Let u be (4\/10)\/((-7)\/(-70)). Let c(r) = -u*r**2 - 5 - 5*r + 2*r**2 + 6*r**2. Let t(l) = 6*l**2 - 8*l - 8. Give j*t(a) - 8*c(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*8*(-4)\/(-64)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 divided by 23?\nAnswer: 101\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-15))\/((-18)\/(-45)). What is the hundreds digit of -2 + (347 - (-6 + m))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**2 - 2430*d - 12025 = 0. What is d?\nAnswer: -481, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-480333)\/(-356))\/((-6)\/(-56)). Calculate the greatest common factor of u and 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -1\/15*r**5 + 1\/9*r**3 + 0*r + 5 - 1\/3*r**2 + 1\/6*r**4. Factor z(k).\nAnswer: -k*(k - 2)*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -109317 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4730 by 86.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1026)\/570*(-10)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 187*n - 608. Is o(27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68348057?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.65 + 2.35. Which is the closest to 2\/3? (a) w (b) 3\/2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuluuuulluuuuuu. Give prob of sequence uulu.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = a + m, 3*a - 5*m = -2*a + 40. Suppose -8 - a = -6*k. What is the third derivative of -5 + 5 + 2*l**k - 5*l**2 + l**3 wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2517, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003137 rounded to 5 dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*n**4 - 189*n**3 + 4*n**2 - 1890*n?\nAnswer: -408*n - 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p - 19 + 3 + 17. Let t(c) = c. Calculate 2*j(x) - 6*t(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from zpzzppz.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 21) + 1 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 14465\/33 + -5 + (-4)\/(-6).\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/51 and -37\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*-4*sqrt(1008)*-4 + (0 + sqrt(1008))*3 + 3) + -5.\nAnswer: -1620*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**3 + 2*o**2 - 2*o + 6. Let b be q(3). Let i be (-3)\/2*3*-6. Let y = -7 + i. What is the highest common divisor of b and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v*v**7)\/v)\/v))**(-24)\/((v*v*v**(-1\/22))\/v*(v\/(v*v*v**(9\/2)*v*v))\/v) assuming v is positive.\nAnswer: v**(1403\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3690236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(45)\/(sqrt(576) + sqrt(36) - sqrt(36))))**2 - (4 + ((sqrt(80)*1)\/sqrt(8))\/(sqrt(200)*1)).\nAnswer: 5\/16 + 9*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 51*k - 74. What is the remainder when 32 is divided by w(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {b: 5, r: 9}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 3330905\nAnswer: -6\/666181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77277845 is divided by 1525.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 128\/9 in 0.5, -10, -9, -0.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4cd + -3d9?\nAnswer: e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(7\/(-105)*(-15)\/(-9))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 375*t + 10 + 19*t to the form v*t + x and give v.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 + 126. Let p(l) = 3*l + i*l**2 + 3*l - l**2 - 3*l**2. Let a = 5 - 0. Calculate p(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + z = -6 - 1, 2*g = 4*z + 10. Sort g, 3, -35 in increasing order.\nAnswer: -35, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - -2 - (-22 - 1). Suppose -l = 2*q - 64. Find the first derivative of 7*z**3 - 3 + 21*z - q*z - 2*z**3 wrt z.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 16*j**2 + 10*j - 152. Let n(f) = -6*f**2 - 5*f + 76. What is -2*g(i) - 5*n(i)?\nAnswer: -2*i**2 + 5*i - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 17 = 8*y - 4*p, 3*p + 87 = 4*y. Suppose -23290 = -y*x + 839. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 + 0 + 0 + (-2*z**2 + z - z)*(1 + z - 1) - 5*z**3 - 3*z**3 + z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-585)\/(-26))\/5*(-2)\/(-9). Sort z, -2, -154.\nAnswer: -154, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 225 - 613. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.041, 5, -2\/15, 0.2 in ascending order.\nAnswer: -3, -2\/15, 0.041, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -3. Let x(z) = -39*z**3 + 2*z**2 + z + 2. Let k be x(r). What is k rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -497830.247 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 4*t - 10. Let p be (198\/8)\/(t\/32). Let a = -32 - p. Calculate the remainder when a is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*v - 4*j, 0 = -v + 3*v + 3*j + 11. Suppose 0*z + 6 = 3*z + 3*o, o = -4*z + 11. What is the remainder when z is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 4362027383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19\/114 + 3070\/12. What is the greatest common divisor of f and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*40 + 2 + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, 2, 3, 10 in descending order.\nAnswer: 133, 10, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 7*d - 375. Suppose 27 = -2*h + d. Suppose 3*l - h = 111. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -5. Let w = 14 - i. Suppose 1 + 24 = -w*j. Which is smaller: j or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3030332889.0000742 + -3030333212. Let d = i + 323. Round d to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 less than 488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -92653, -371778, -837383, -1489468, -2328033?\n\"Answer: -93240*w**2 + 595*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -10111.\nAnswer: -10110.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n + 4. Let w = n - -1. Suppose w = -2*j - 0*j. Which is greater: -2\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**2 - h**2 + 181*h - 2*h**2 - 4523 + 4524 + h**2 in the form a*h**2 + t + r*h and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147 - 10*w**2 + 37 + 39 + 68 + 12*w**2.\nAnswer: 2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 + 1133 - 1133.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/1143 (b) -1 (c) -4\/5 (d) -4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 33 + 15. What is the remainder when 47 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/2 in -1, -8\/5, 0.2?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 7. Let f = 104 + -131. Let z be 0\/(-2*(3 + f\/6)). Solve z = -4*q - 0 + n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -25. Let m be -36 + x\/(-4)*-4. Is m at least -75\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1857, -2065, -2275, -2487, -2701, -2917?\n\"Answer: -y**2 - 205*y - 1651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*a*m**4 + 4*a*m**3 + 175*a + m wrt m?\nAnswer: 40*a*m**3 + 12*a*m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/19)*n**(-21\/5)*n**42*n**(-26))**(10\/7) assuming n is positive.\nAnswer: n**(2202\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -392*d + 11315. Calculate i(29).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -19. Let r = m + -7. Let l(i) = 0*i - i + i + 3*i**r. Let h(v) = 2*v**2. Give l(h(y)).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -1\/6*x**3 + 0 + 23\/2*x**2 - 3*x. What is the tens digit of p(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*v + 53. Suppose -v = -5*l + 47. Solve -4*t + 3*s = -0*s + 7, -t + 3*s = l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-8 - 0)\/(-4). Let p(u) = -4 - 10*u + 8 + u**2 - 1 + n. Let l be p(9). Let d(a) = a**2 + a + 2. Calculate d(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 21*b + 8. Let k be q(-21). Let d(v) = v - 1. Let w be d(k). Suppose -398 = -4*u - 90. Calculate the highest common divisor of w and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3*18\/4. Let v = 4 + -8. Sort v, w, 5.\nAnswer: v, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 51 + 305 = 3*v, -4*a = -3*v + 371. Let n be 6\/(-8) - v\/52. Let l(i) = -i + 3. What is l(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*i - 5*i**2 - 3*i**2 - 399*i - 389*i + 1151*i.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -6, 1\/2, -2, 116?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49028010 = -61*o - 8*o + 139410351. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -30*f - 2095. Let j be a(-70). Let c(z) be the first derivative of -35\/2*z**2 + z**j - 25\/4*z**4 + 10*z - 16 + 15*z**3. Factor c(n).\nAnswer: 5*(n - 2)*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhhhlhhhlhhhhhlhhlh. What is prob of picking 4 h?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213113 (base 7) to base 9.\nAnswer: -55805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 12*p + 4*p + 0*p + 6*p - 5*p + (1 + 2 - 5)*(4*p - 3*p + 0*p) + p - 3*p + 4*p + p - 3 + 3 + (2 - 2 - 2)*(3 - 4 - 1)*(2*p - p + 0*p).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = 5*k + 4299, 5*k + 4279 = -4*z. Let x = k + 1433. Suppose -1564 = -5*f - x. What is the greatest common factor of f and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287984.\nAnswer: 2, 41, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2 + 5*u**2 + u**3 + 0*u**2 + 3*u**2 - 2*u**2 - 7*u. Let l be d(-7). Solve -l + 6 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 286*n**3*w**2 + 3326*n**3 + 53*n**2*w - 110606*n*w**2 - n wrt n?\nAnswer: 1716*w**2 + 19956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 22243408.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 588159.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q - 19*q + 5*q + 21.\nAnswer: -3*q + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 7873\nAnswer: -15746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27\/2 in -0.01, -1.1, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12792 and 10947?\nAnswer: 1138488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3627 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 11, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**2\/7 + 57779552*f\/7 - 417309578665088\/7 = 0.\nAnswer: 14444888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(4 - (2 - 0)). Solve k = -3*d - 12, -3*d - 16 = -5*s + 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -482043 = -p + 838335. Let i = p - 618378. Round i to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5891695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 5. Let g be u(5). Suppose m + 2*n - 57 = g, m + 4*n - n - 58 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11928041 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)\/sqrt(4) - (2 + sqrt(10)\/sqrt(2)).\nAnswer: -2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 699, 1323, 1913, 2469, 2991, 3479, 3933?\nAnswer: 4353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a week?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdggrccccrcz. What is prob of sequence dzdg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h**5\/5 + 2734*h**4\/5 - 23482*h**3 - 1635846*h**2\/5 + 2291544*h\/5 = 0. What is h?\nAnswer: -12, 0, 9\/7, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8421118\/47 or 179172?\nAnswer: 8421118\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.82 - -0.98. Round p to 0 dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115521067, 115521064, 115521061, 115521058?\nAnswer: 115521055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(931)*4 - (2*sqrt(931) + 0))**2 - (-3*((sqrt(931) - -5*sqrt(931) - sqrt(931)) + -1 + 4))**2.\nAnswer: -176040 - 1890*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 5:37 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*l**5*t**3 + 88*l**4*t**3 + 4*l**2*t**3 + 2*l**2*t - 139*t**3 wrt l?\nAnswer: 480*l**2*t**3 + 2112*l*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6) + 2\/6. Let f be x\/1 + 341990 + 11 + -1. What is f rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 1. Let m be f(1). Let y = m + 2. What is the closest to 0 in 1\/8, y, 0.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1366 + 1368. Let s be (4 + 0)\/2 - -1. Suppose 46 + 5 = s*k - 3*q, 0 = k + 5*q + 13. Solve -c = -2*y - k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(-6275 - (3 + -1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59450635?\nAnswer: 5, 11890127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 7*b + 5. Let u = 13 - 8. Suppose -2*n - 6 = -2. Let w(z) = -3*z + 2. Let h(c) = n*q(c) + u*w(c). What is the second derivative of h(t) wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 4*k**2 + 4*k + 7. Let w be g(5). List the prime factors of (-1)\/(w\/(-8)) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11517, 91978, 310315, 735456, 1436329, 2481862, 3940983, 5882620?\nAnswer: 8375701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/120*52\/13)\/((-14)\/10).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -29. Let s = 16054\/5 - 3206. Solve -2\/15*x**3 + q + 8\/5*x**2 - s*x = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 40*t**2 - 5*t - 4. Let a(p) = -39*p**2 + 6*p + 5. Let j(n) = -3*n**3 - 13*n**2 - n + 16. Let s be j(-4). Give s*a(c) + 5*l(c).\nAnswer: 44*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2346*l. Let o(a) be the second derivative of a**3\/6 + 953*a. Calculate p(o(b)).\nAnswer: 2346*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 3*o + 3. Let d be (-1)\/2 - (-7)\/2. Let r be f(d). Let w(u) = -u**3 + 4*u**2 - u + 2. Let t be w(3). Solve x = r*x - t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**2 + 2*u - 1. Let f(v) = 3*v**2 - v. What is 3*f(q) + 2*t(q)?\nAnswer: q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c + 4. Let l be g(1). What is the closest to l in 1, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, d: 2}. Give prob of sequence md.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93228 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o**2 - 2*o - 7. Let m(z) = 6*z**2 - z - 6. Let b(u) = -6*m(u) + 5*s(u). Let v(p) = p**2 + 5*p - 1. Let t(j) = 2*b(j) + 3*v(j). Determine t(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0154217 to 4 dps.\nAnswer: 0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 10*5\/(-10). Suppose 0 = -o*c + 58 + 2. Let s(n) = -3*n - 4. Let a be s(-3). Solve 2*j - c = a*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1584)*2 + 4 + -2)**2 - ((sqrt(1584) - -6*(sqrt(1584)*-2)**2) + sqrt(1584) + 1 + 3 + 3).\nAnswer: -31651 + 264*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 + 7*o**2 - 7*o**2 + 2*o**4 - o**4 + o**4 + (o**2 + 0 + 0)*(-3*o**2 - o**2 + 3*o**2).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 0, 1\/2, 0.49, -6, 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 681246 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4 = -5*u - 34, 4*y + 1711 - 1767 = -4*u for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39980284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -8*t - 417. Determine w(-52).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 - 116 - 2*a - 45*a**3.\nAnswer: -45*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5476*p**4\/5 + 1734560*p**3 + 3433022272*p**2\/5 - 148515840*p + 40144896\/5.\nAnswer: 4*(p + 792)**2*(37*p - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14, -2\/11, 2\/5, -0.4 in ascending order.\nAnswer: -14, -0.4, -2\/11, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.3 (b) 3 (c) -78688 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4\/3 + 112*v**3\/3 + 666*v**2 + 10472*v\/3 - 12584\/3 = 0. What is v?\nAnswer: -22, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 less than -0.04983297333?\nAnswer: 14.95016702667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/26 - (7*16\/(-252) + (-547)\/936).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -65, -186, -367, -608, -909?\n\"Answer: -30*p**2 - 31*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3322 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 18*g - 2240. Suppose -2*m = -5*h - 262, 5*m - 879 = -2*h - g. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 30. Suppose -2*t + 5*t = -j*y + 3555, -3*t + 699 = y. Let o = y + -352. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - a**2 + a. Let z be q(1). Let f(s) = -47*s. Let i(m) = 46*m - 1. Let y(r) = -4*f(r) - 5*i(r). What is the remainder when y(z) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 * -6.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208659250?\nAnswer: 2, 5, 59, 81943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 - 384311*k**2\/3 + 36927386864*k\/3 - 701481621004\/3.\nAnswer: (k - 192146)**2*(k - 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = q - 384, -733 = -0*q - 2*q - l. Let v = q - 384. Which is the fourth smallest value? (a) v (b) -4 (c) 3\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-u + 6*u - 4*u)*(3 + 0 - 5) - 49*u + 29*u - 20*u)*(9*u + 7*u - 12*u).\nAnswer: -168*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 27*k - 81. Does 2 divide d(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/((-250)\/20)*(-10)\/(-8). Which is the third biggest value? (a) -0.03 (b) 4 (c) j (d) -5 (e) -3\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-4)\/(-48)*3). Suppose -5*c - t*c = -648. Suppose -q + 50 = -c. Is q a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3)*b**22*b)\/((b*b**(4\/5))\/(b\/(b*b**8))) assuming b is positive.\nAnswer: b**(208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 2*y - 5*j + 85, 4*y = -6*j - 44 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151768221, 303536441, 455304659, 607072875, 758841089, 910609301, 1062377511?\nAnswer: 1214145719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1.9. Let h = -0.8 - -1.1. Let p = -63.91 + 62.91. What is the nearest to k in -4, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2040)\/312 - (-7)\/1.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -636747538*a**2 - 571584052*a wrt a.\nAnswer: -1273495076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h. Let b(d) = 83*d. What is w(b(y))?\nAnswer: 498*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 255806.52 to the nearest 100.\nAnswer: 255800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4. Suppose -4*g + 3*g + 31 = z. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44aa8 (base 14) in base 10?\nAnswer: -166748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*n**4 + 46*n**4 - 38*n**2 - 1 + n**3 + 3*n - 16*n**4 - 11*n**4 to the form f*n**3 + b*n**4 + i*n**2 + d*n + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 - 25*x + 12. What is the hundreds digit of u(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2519.\nAnswer: 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-770)\/(-112)*-4 - -17)*18\/(-7). Solve -4*z + r*l - 31*l = 28, 2*l + 10 = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 556 = 2*h, 5*o = -8*h + 3*h + 1360. Let q = -272 + o. Suppose 2*f = 2 + 2. Solve -5*t - 28 = -4*d, -q*t + f*d - 8 = -2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9559880 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**3 - 8985*g**2 + 256140*g + 1168000 = 0. What is g?\nAnswer: -1825, -4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 5:01 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19786687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 9*a - 4*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 54*i + 617. Give f(-13).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + 1. Suppose 5*o = -2*c + 20, 3*o - 5*c - m = o. Sort -3, o, 12, 0 in increasing order.\nAnswer: -3, 0, o, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -11 + 2 - 2*r + 3 + 25. Let m be c(7). Solve 0 = -5*d + o + 22, 8 + 2 = -m*o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6*y**3 + 1 + 1.\nAnswer: -6*y**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 + (-7 - 66) - -31.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397601930.\nAnswer: 2, 5, 11, 751, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqpqqqqqqqq. Give prob of picking 1 p and 2 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1297.60842 + 0.30842. Let z = a - -1286.4898. Let o = 10.8 + z. Round o to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8275 - -0.830392. Round c to 4 decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 + -78. What is the highest common factor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 10327257?\nAnswer: 10\/10327257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2448433?\nAnswer: 13, 127, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g + 665 = 819 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}