diff --git "a/data/dm_maths/full_data_1/1861_11255.jsonl" "b/data/dm_maths/full_data_1/1861_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1861_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: List the prime factors of 2059839.\nAnswer: 3, 17, 13463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -258, -241, -224, -207, -190, -173?\n\"Answer: 17*u - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 16. What is the remainder when 78 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1, 10, -0.1, 1\/6 in increasing order.\nAnswer: -17, -1, -0.1, 1\/6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3239*i + 68. What are the prime factors of v(3)?\nAnswer: 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24075?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(1573) + (1 + sqrt(1573) - sqrt(1573)))*-3 - sqrt(1573)))**2.\nAnswer: 616*sqrt(13) + 25217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -3\/4 (b) 301 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 446508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -21313191 divided by 21313191\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.94 minus -0.3?\nAnswer: 11.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 13. Calculate p(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) - (-4 + sqrt(300)))*-3.\nAnswer: -81*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 111*k**2. Let r(m) be the third derivative of 220*m**2 + 0*m + 0*m**4 - 1\/60*m**5 + 0 + 0*m**3. Give u(r(n)).\nAnswer: 111*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + (3 - 6 - 0). Suppose 0 = z*b - 1 - 59. Suppose 7*r**3 - 3*r**3 + b*r**2 - 21 + 5 = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shhzhssshhsss. What is prob of picking 1 h and 1 z?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*1*(-2)\/20*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - 7155?\nAnswer: -7167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*m + 5*o, 0*m - 4*m + 14 = -2*o. Suppose -3*w - p + 21 = 3*p, -2*w = m*p - 13. Calculate the greatest common divisor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 12. Let x be h(4). Let c(u) = -u**2 + 26. Let r be c(x). Suppose -r*i + 1512 = 532. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 118958, -1\/5, 0.62?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69617 is divided by 69590.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**4 + 41868*w**3 + 51650160*w**2 + 16920541232*w - 68511248064 = 0.\nAnswer: -9099, -686, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 25. Suppose c = -r + 227. Does 31 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166764.9999931749 + 166765. What is n rounded to 7 dps?\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3*j - 5*j**3 + 0.\nAnswer: -5*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -30773*s**3 + 15401*s**3 + 4 - 50*s**2 + 15380*s**3 in the form q*s**3 + w*s**2 + i*s + x and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 470843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3037 - -5072. What are the prime factors of d?\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92 - -87.1. Let f = -0.4 - -0.3. Let g = h + f. What is the third smallest value in -4, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69 + 28*v**2 + 20*v**2 + 22*v**2 - 69*v**2 to k*v + y*v**2 + i and give i.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(-35)*(i*(i\/i**(3\/7))\/i)\/i*i*i**(-1\/6)*((i**(1\/3)*i)\/(i**2\/i))\/((i**(-1\/3)\/i)\/(i\/i**(-1\/7))) assuming i is positive.\nAnswer: i**(-445\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 = -24*x + 3*f, -599*x + 5*f + 215 = -604*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-294)\/56 - -5)*6\/9.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Let z(s) = -p - 2 + s + 2. Let h(l) = 6*l - 11. Let u(t) = -2*h(t) + 11*z(t). Let w(k) = -k. Determine w(u(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -143*z + 11. Let p be v(-28). Suppose -4*s - p = -2*g + s, -g + 1995 = -5*s. What is g rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**2 - d**2 - 2*d**2 + (-2*d**2 + 2*d**2 - d**2)*(-1 - 3 + 3) + (-3 - 8 + 13*d + 15)*(-1 + 1 - d) in the form b*d**2 + j + p*d and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) -0.0916 (c) 1\/3 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4 - 24*s**3 - 72*s**2 = 0. What is s?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 7 + -8 + 27 + 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**2 + 393*b + 798 = 0 for b.\nAnswer: -2, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-4*p + 2*p + 4*p) + 10 + 8*p + 21 - 10*p.\nAnswer: 2*p + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 440\/990*13\/13*(-6)\/10.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162\/324*(-8)\/(-13).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63312, -255647, -576208, -1024995?\nAnswer: -1602008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 3. Suppose -22 = -y + 5*c, -c + 15 = 3*y - 3. Let r(m) = 3*m**2 - y*m**2 + 3*m**2 + 2. Let z(n) = 7*p(n) + 6*r(n). Let z(a) = 0. What is a?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 15*c**3 - 2*c + 4. Calculate the remainder when q(2) is divided by 43.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n + 4. Let f be z(-6). What is the common denominator of 19\/6 and ((-154)\/f - -2)\/1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sll when three letters picked without replacement from {q: 8, l: 5, s: 4}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 7537342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6906967 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 17*y**4\/24 + y**3\/6 + 3*y**2. Let h be l(-1). Let z = -9 - h. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**7\/42 - 2*i**6\/15 - i**5\/5 + i**4\/6 + 5*i**3\/6 + i**2 - 3*i + 3. Let a(p) be the first derivative of o(p). Factor a(x).\nAnswer: -(x - 1)*(x + 1)**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1088) - (sqrt(1088) + -1)) + sqrt(1088)) - (-5 + 4*sqrt(17))*-4)**2.\nAnswer: -1360*sqrt(17) + 27489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2286, 2680, 3070, 3450, 3814, 4156?\n\"Answer: -z**3 + 4*z**2 + 389*z + 1894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -8*s**2 + 60*s + 7. Let b be m(8). Is b greater than or equal to -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -298, -1011, -2202, -3871?\n\"Answer: -239*q**2 + 4*q - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1054*n + 1056*n + q - 11, -3*n + 4*q = -11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -3 + (-13 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/128820243 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 25166 = 25167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 883 = 2*f - 55, -3*f + 1417 = 5*l. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5971.\nAnswer: 7, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/8*8\/10. Let o = -19 - -12. Let l(f) = 10*f. Let b(y) = 1087 - 1087 + 3*y. What is d*l(u) + o*b(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b + b)*(-16*b**2 + 2 - 2).\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -352468077 divided by 299\nAnswer: -1178823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s - 4*s + 31401 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1185, -1186, -1187, -1188, -1189?\n\"Answer: -a - 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7.65 - -1153\nAnswer: 1145.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2013 - (0 + 3 + -1 + 1). Which is greater: q or -2017?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 760 = -2*s, -10*s - 1924 = -5*i - 8*s. Which is smaller: i or -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-882)*(-7689962)\/599.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -408*s + 1765. Give x(4).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*u + 3*w, -3*u + 3*w + 8 - 2 = 0. Let h be (137538\/(-24))\/u + (-1)\/4. Let c = h + 34249\/6. Find the common denominator of 91\/34 and c.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5573.8 times -3?\nAnswer: -16721.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 559044*h**3*n**2 - 9*h**2*n**2 - 6268*h*n wrt h?\nAnswer: 3354264*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -381706\nAnswer: -15268.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1043*i + 1 + 1 - 177*i**2 + 1044*i - 2087*i as k + g*i**2 + r*i and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u + 6. Let k = -8186 - -8186.3. What is the nearest to 2\/7 in u, 5, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -41 (b) -0.4 (c) 5 (d) -2 (e) -1 (f) 0.2 (g) 65\/32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1479 (base 12) to base 8\nAnswer: -4535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9\/8 + -77\/40. Let v be ((-7)\/(14\/(-8)))\/(-2). Let r = -106.9 + 107. What is the closest to v in r, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3503878 to 4 decimal places.\nAnswer: 0.3504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 10*m + 13*m - 47*m)*(-5*m + 5*m**4 + 5*m).\nAnswer: -120*m**5 + 15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 + -1. What is the second biggest value in s, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 4, 0.7, 1\/3, -4, -7\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3366?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + c - c)*(11*c + 0*c + c)*(5*c - c + 0*c).\nAnswer: -96*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-13.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 57360*p - 745347. What is x(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700 + 465 = 47*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 12) in base 13?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - q - 20. Let m be ((-5)\/15)\/((-6)\/126). Give x(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 145837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-9) + (-650)\/(-117)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 32*w + 6. Give a(-3).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 957\/80 - 173\/16. Let p = 1021457\/208 + 395\/208. Let g = p - 4938. Find the common denominator of m and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -86060 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*n**4 - 569*d*n**3 + 2*d*n**2 - 3*d*n - 73*d wrt n?\nAnswer: -12*d*n**2 - 3414*d*n + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 j when three letters picked without replacement from {j: 1, p: 2, x: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -18. Solve -y*z - 2*f + 4 = 3, -3*z + 3*f - 24 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225.0339 years to centuries.\nAnswer: 2.250339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(198))\/sqrt(2).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -618, -637, -642, -633, -610?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -2\/17 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/5 (b) -2 (c) 0.5 (d) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxx when three letters picked without replacement from {z: 1, x: 2, o: 4, i: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 1, j: 1, i: 6}. Give prob of picking 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v - 35. Let o be n(-15). Solve 0 = 6*x - x + o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(143))\/(sqrt(22)\/sqrt(2)*-1)*-6.\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -292 - -290. Sort 3, 1\/4, t, 1.\nAnswer: t, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -221, -313, -407, -503, -601, -701?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(833) + -1 + -4 - sqrt(833))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-64)\/256)\/(2\/(-48)). Sort r, 26, 0 in increasing order.\nAnswer: 0, r, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6285175, 6285182, 6285189, 6285196, 6285203, 6285210?\nAnswer: 6285217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-2 + sqrt(66))*-2)\/(-2*sqrt(726)).\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 412 + 398. Suppose 2*g + 314 - x = 0. Is g a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1723039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 64623 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 22*u**2 - 44*u - 28. Let d be c(-20). Calculate the highest common factor of 78 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*k - 80256 = -476*k - 662*k for k.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/54 - (-1 + (-5)\/(-6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 428312877?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1562 + -637. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 2*t - 5*g, -2*t + 2*g + 3552129 - 3552147 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25203 - 14006. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -5*c**7\/14 + c**4\/2 + 5*c. What is the third derivative of j(r) wrt r?\nAnswer: -900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**2 - 48*l**3 + 15*l**2 - 3*l**2 - 20*l**2.\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 3:36 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -8*z - 2*z. Suppose -z*h - 6 = -6*h. Suppose -78 = -h*y - 69. Solve -3*n = y*i - 30, -i = i - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-12))\/(2\/24). List the prime factors of 22\/p - (-1)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i - 28. Let p be v(8). Suppose -j - 2*z = j - 5138, 3*z = -p*j + 10276. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/2060 and -46?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (19 - 14) + (-4 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u + 0*u + u**3 - 2*u - 2*u**2 as z + o*u**3 + n*u**2 + s*u and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*d - 173*d + 88*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1035865, -1035866, -1035869, -1035874, -1035881?\nAnswer: -1035890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 2:24 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-36)\/64) - 57*(-10)\/(-10)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 602\nAnswer: 1806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11114 is divided by 5543?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 9:10 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -23858*j**3 + j**2. Let c be u(-1). Let r be c\/120 + (3 - 1). Let a = r + -956\/5. What is the common denominator of 91\/12 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 131328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - c + 9 = 0, -p - 31 = 4*p + 2*c. Let g(j) = -5*j + 2. Let w be g(p). Suppose 5*a + 3*n - 98 = 0, 2*a = -0*a + n + w. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + 54. What is the remainder when m is divided by -4 + (-11)\/((-55)\/230)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34\/5 of a century?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u**(-8)))**22 assuming u is positive.\nAnswer: u**198","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 640 + -923.36. What is d rounded to the nearest integer?\nAnswer: -283","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122911963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m - 70*m = 9*m + 42*m - 5184 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 2, p: 1}. Give prob of picking 3 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63615629 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 6) in base 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 5*m**4\/4 - 25*m**3\/3 + 10*m**2 + 82. Solve x(t) = 0 for t.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 1317 - 1317.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2016\/240)\/((-30)\/50)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 278622432 by -3869756.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*i = -422 - 70 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 3*j)*(j + j - j) - 7*j**2 + 2*j**2 + 5*j**2 + 7*j**2 in the form t*j + f + i*j**2 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2, 3*v - 606 = -5*w + 1937. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 12*m = -44, -299*j + 297*j - 3*m + 5 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45.9369 - 265650.\nAnswer: -265604.0631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672881376 divided by -579.\nAnswer: -1162144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 452*v - 10409. Determine b(23).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a year in months?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**5\/20 + 5*p**2. Let n(h) = -3*h**2. Let z(f) = 3*g(f) - 2*n(f). Suppose z(v) = 0. Calculate v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*p = -69*p - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-92)\/(-23))\/((-5)\/(10\/(-4)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2240 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31622779?\nAnswer: 31622779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 694 a factor of 585496173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*v**3*x - 1656*v**3 + 2*v*x + 2674469*x wrt v?\nAnswer: 30*v**2*x - 4968*v**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100000120221 (base 3) in base 9?\nAnswer: 2300527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*374\nAnswer: 37.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 9:46 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1553?\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -1.546?\nAnswer: 1.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 10*d**3 - 78*d**2 - 180*d - 86. Let l(h) = 9*h**3 - 79*h**2 - 180*h - 87. Let c(i) = 6*l(i) - 5*z(i). Factor c(k).\nAnswer: 4*(k - 23)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -7, 14\/5, -2\/11, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 57. Let t(a) = -2*a - 16. Let r be t(y). Calculate the highest common factor of 48 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 35. Suppose -p = -0*g + 3*g - x, 2*g = -5*p + 24. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 156 + 6 + -4 + -5. Suppose 0*x - 3*x + w = 0. What is the highest common divisor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Let v be 4\/(-2) - 8\/(-2). Suppose 2*m = -3*h - v, -h + 5*m = -6 + 35. List the prime factors of u(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1653606775 to the power of 1\/2, to the nearest integer?\nAnswer: 40665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 422720211?\nAnswer: 422720217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/18920 and -61\/66220.\nAnswer: 132440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 92*k**2*t*z**2 + 508*k**2*z**2 - 13159*k*t*z**2 - 531*z**2 - 1 wrt t.\nAnswer: 92*k**2*z**2 - 13159*k*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 196, 82, -108, -374?\n\"Answer: -38*v**2 + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41952.83 + 41518.8021. Let u = f - -0.0279. Let m = 434.00209 + u. What is m rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20697, -41391, -62085, -82779?\nAnswer: -103473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(1000\/(-240)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -434*s**3 + s**2 + 14*s + 13. What is f(-1)?\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-8) - ((-20)\/16 - -6). Let h(y) = 4*y + 3. What is h(w)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from {q: 2, r: 1, d: 1, a: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20743?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 3, -1\/3, -2, 3\/4, -945083?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 12*f - 31. Let y be d(9). Let o(n) = n**2 + 6*n + 1. Determine o(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**3 + 4*t**2 - 4. Let c(i) be the first derivative of -3*i**4\/2 + 3*i**3 - 9*i - 3. Calculate 4*c(a) - 9*o(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 59 + 30 = -8*r - 74, -3*r - 17 = a for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -12*n + 230. Let k be f(20). What is the lowest common multiple of 20 and 12\/(-2)*(k - (-25)\/(-3))?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.625115825 rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 103?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 1)*2\/2. Let h be m\/6*4 + 1. Suppose -h*g = -1641 - 1524. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/(i**(-5)\/i)*(i\/i**(1\/4))**(-15))**(-3\/23) assuming i is positive.\nAnswer: i**(75\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 11) to base 4\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(747\/2376*11 - 1\/8). Solve -5*j + 1 + 0 = -2*q, -x = -5*j + 5*q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -648577.3 + -22973.7. Let v = c - -671550.96000015. Let m = v + 0.04. What is m rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-14)*3\/((-18)\/(-24))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 121?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -6739042.\nAnswer: 3\/6739042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-722189)\/31317 + 2\/33\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, t: 6}. Give prob of picking 1 z and 2 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/468 and -75\/52?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-148)\/(-18))\/2 - 47\/423. Let t be 252\/(-3)*(892\/8 - o). Round t to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157525.8489 milliseconds to weeks.\nAnswer: 0.00026045940625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 17550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/10 of a milligram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = 0, 3*x = -2*x - 4*k + 41. Solve -x - 1 = -f + 2*t, 0 = 2*f - t + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.15 - 0.95. Let s = 1.2 + -0.2. Sort 0.1, s, x in increasing order.\nAnswer: 0.1, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 0*a - 3*a + 2*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53543.\nAnswer: 7, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from {g: 8, x: 2, h: 1, r: 2, p: 1, l: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s**2 - 2*s**3 - s**4 + 4*s**2 + 0*s**4 + s - s**2 in the form v*s**4 + w*s**2 + b*s**3 + q + h*s and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -47. Calculate the common denominator of ((-21)\/1)\/(1*64\/d) and -41\/6.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - w + 24 = -3*w, -5*s = -5*w - 25. Suppose -3*c + 1 - s = 0. What is the remainder when 64 is divided by (33\/c)\/(24\/(-32))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**21*x**4 assuming x is positive.\nAnswer: x**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*((-105)\/(-9) + 1). Let d = j - -54. Let i = d - 1. Solve -2*q - 2*h + h = 1, 3*h = -i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4 + 3222*z**3 - 408807*z**2 = 0.\nAnswer: 0, 147, 927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -116 (b) -122268 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.7 (b) -5 (c) 1 (d) 2\/113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - -8.4. Let c = -10 + d. What is the second biggest value in -0.3, -1\/6, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.787 + 0.177. Put h, 1\/2, 1 in ascending order.\nAnswer: h, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -373 (base 12) to base 11\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-3)\/(-6 + 3). Suppose -44 = -4*h + c*s, 2*h + 8 = -2*s - 2*s. Find the second derivative of 7*m**3 + 3*m - 7*m - h*m**3 wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 519.\nAnswer: -259.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1980537?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 30*l**2 + 346*l + 684 = 0.\nAnswer: -9, -38\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2159975 (base 11) to base 3\nAnswer: 21010120121221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.56 + 7.576. Let c be 16\/(-44)*(-22)\/4. What is the biggest value in -0.5, c, v, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55255?\nAnswer: 5, 43, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001008076 rounded to six decimal places?\nAnswer: -0.001008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/9 - 70*a**4\/9 + 84*a**3 - 1676*a**2\/9 - 10166*a\/9 + 3718\/3 = 0. What is a?\nAnswer: -3, 1, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 42 = -5*r + i, -58 = 3*r + i. Let m be (-3)\/15 - (-36)\/r. Let q(z) = -6*z**2 - 7*z - 8. Let h(n) = n**2 + n + 1. Calculate m*q(t) - 14*h(t).\nAnswer: -2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 - -92. Suppose 3*u - 146 - 97 = z. Let o = u - -40. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468181.2kg in nanograms?\nAnswer: 468181200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32123949?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/3)*w)**(-40)\/((w*(w*w**(-1\/5)*w*w)\/w)\/w*w\/w**(-1\/10)) assuming w is positive.\nAnswer: w**(-2887\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5020 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(((-130)\/(-13))\/(-10)). Let y(t) be the second derivative of -1\/6*t**4 - 29*t + 0 - 1\/3*t**p + 2*t**2. Factor y(f).\nAnswer: -2*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/9808 and -19\/12260?\nAnswer: 49040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 37037, 148127, 333285, 592511?\n\"Answer: 37034*o**2 - 12*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 3*v - 371 - 361 + 742 = 0, 15*f = -3*v - 0*v + 42 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3930707*b**2 - 3*b + 3*b.\nAnswer: 3930707*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-60) - 12\/70. Let o = -8 + 10. Suppose 0 = -o*v + 4*v + 4. Which is bigger: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5565960 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55472?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00186727 rounded to 5 dps?\nAnswer: -0.00187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*k + 619*k + 198*k.\nAnswer: 677*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/(-9) + 4 - (-490)\/3. Let j = d - 159. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 1 - 3)*(0*j**2 + 4*j**2 + 4*j**2)*(2*j**3 + 0*j + 0*j).\nAnswer: 80*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 213526 - -313?\nAnswer: 214142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 - (-1115)\/25. Let t = 33 + o. Suppose -t = -n - n. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*v + 14 = 3*l, -l + 4*v + 14 = 0. Suppose -10*m = -l*m + 52. Let u(t) = -t + 17. Let r be u(m). Solve 2*k + r = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 0 + 0*i**2 + 1\/2*i**4 - 18*i - 3\/40*i**5 + i**3 - 1\/20*i**6. Solve v(r) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 6 = 93. Calculate the remainder when n is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 7*h = -3*h + 18, 0 = 4*b - 5*h + 9. Suppose w - 11 - 7 = 0. Let s = b + w. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1012355 greater than or equal to -1012357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2904))\/(sqrt(24)\/sqrt(98)))**2.\nAnswer: 47432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 132678*h**2*j + 1792176*h**2 - 2*h*j - j with respect to j.\nAnswer: 132678*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 188*g**2 - 65*g**2 + 869 - 60*g**2 - 1108*g - 59*g**2 + 235 = 0. What is g?\nAnswer: 1, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 18*m**2 - 102*m + 8. What is i(8)?\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**1\/i))**(-14)\/(i\/(i\/(((i**(1\/4)\/i)\/i)\/i*i)))**(8\/15))\/((i*i**(2\/3)*i*i)**34*(i**(-1))**(-20)) assuming i is positive.\nAnswer: i**(-2366\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11957\/5 less than 2391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -25*i**3 - 22*i**2 - 194*i - 569. Give r(-5).\nAnswer: 2976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*u - u - 14*u - 304*u**4 - 4*u wrt u.\nAnswer: -3648*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -14*q - 3. Let y be o(-2). Let s be y\/9 + (-8)\/(-36). Suppose -8\/7*v**s + 2\/7 + 8\/7*v - 2\/7*v**2 = 0. Calculate v.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.96 + 2.94. Let p = 12 - h. Which is the closest to 1\/3? (a) p (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -3 - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/13 + (-350)\/(-91). Let z(j) = -2*j + 5. Calculate z(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10*p**2 - 306*p - 39. Determine g(29).\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/10 - (-2 + 56\/21)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520651.\nAnswer: 23, 22637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2780*m = 2230*m + 10450 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 11:46 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/493 and 95\/406.\nAnswer: 6902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 505 = 498. Suppose -4*w = 1 + 11. Find the common denominator of -21 + w + 28\/b and 24\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1*(2*sqrt(65) + sqrt(65)))\/(sqrt(245) - (sqrt(245) - (sqrt(245) + (sqrt(245)*1 - sqrt(245))))) + 2)**2.\nAnswer: -626\/49 - 24*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2873206 or -2873208?\nAnswer: -2873208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 104088628867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2079 and -68\/6831.\nAnswer: 47817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**(3\/4)*o)*o*o**(-3))\/(o**(-6)*o**(5\/6))*(o**(-2\/17)\/(((o**(-4\/3)\/o)\/o)\/o))\/(o*o\/(o**1\/o*o))**39 assuming o is positive.\nAnswer: o**(-2133\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 5:56 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 6 = 2*t, -5*a = 48*t - 50*t + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111899.\nAnswer: 149, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-207))\/((-122)\/122)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y - 16 - 10*y + y - y. What is the units digit of x(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**3 - 113796*k**2 - 1084455999*k - 100935854202 = 0.\nAnswer: -18919, -94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38402 and 8018.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*h**2*i + 16*h**2 - 3*h - 80*i wrt h?\nAnswer: 26*i + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.586 + -203.586. Let r = p - -201. Which is the closest to 1\/9? (a) 6 (b) 1\/6 (c) r (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039920037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/25 and 157\/930.\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3675\/73 greater than or equal to -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21824, 13, 3, 0 in increasing order.\nAnswer: 0, 3, 13, 21824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 r when four letters picked without replacement from zrhrrhcmrrccrrmhhmm?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k. Suppose -q = -3*q. Let z(f) be the second derivative of -2*f + 0 - 1\/6*f**3 + q*f**2. What is z(y(a))?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**5\/5 + 68*t**4\/5 - 312*t**3\/5 + 488*t**2\/5 - 332*t\/5 + 84\/5.\nAnswer: 4*(t - 1)**4*(t + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19926*m**4\/5 + 92934876*m**3\/5 - 108362107392*m**2\/5 + 65258688*m\/5 = 0. What is m?\nAnswer: 0, 2\/3321, 2332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 69*m**2 + 74*m + 393. Give h(-68).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36466*38.4.\nAnswer: 1400294.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/31 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**4\/f*f\/(f\/(f\/(f\/f**(-4\/3))*f*f*f)))\/(f\/(f\/f**(2\/5))*f**(-1\/5)) assuming f is positive.\nAnswer: f**(97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*((n\/(n\/(n\/n**(8\/11))*n))\/n)\/n)\/n)**40\/(n**(-2\/33)*((n*n**26\/n)\/n*n)\/n) assuming n is positive.\nAnswer: n**(-4423\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91541.52ug to kilograms.\nAnswer: 0.00009154152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 z when four letters picked without replacement from {m: 4, z: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4) + -29 - 894600\/(-27690)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + z - z)*(28 - 9 + 216) + 2*z - 4*z + 9*z to the form p*z + d and give p.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4 - 0) + 3)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.5*4238.\nAnswer: 40261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -d + 7, -4*d + 5*c + 15 = -2*d. Calculate the smallest common multiple of d and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 2*o + 2*o**4 + ((1 + 2 - 4)*(-3 + 2 + 3) - 33 + 10 - 10)*(-o**3 + o**3 - 4*o**3)*(4*o - o - 4*o).\nAnswer: -138*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 257*x - 2*x**2 - 2114 + 4*x**2 - 60*x - 89*x with respect to x.\nAnswer: 4*x + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1114745276 to the nearest integer?\nAnswer: 33388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -34944 <= -34943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*y + 0*y + 3*y)*(-2*y + 0*y + y) + 3*y**2 - 2 + 2)*(-14 - 4 - 2166*y + 2164*y - 7*y**2).\nAnswer: -28*y**4 - 8*y**3 - 72*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 287 and 45150.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181933 to the power of 1\/2, to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/8078 and -115\/15599772.\nAnswer: 109198404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 167, 158, 145, 128?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -53. Is 10 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzc when three letters picked without replacement from cmczzzcmzzc.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (444\/2072)\/((-15)\/18*6\/20)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05976*0.01542.\nAnswer: 0.0009214992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -100222010111200?\nAnswer: 100222010111222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7227 and 44598.\nAnswer: 107436582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2384025?\nAnswer: 3, 5, 7, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 4, 5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1668, 3297, 4912, 6507, 8076?\nAnswer: 9613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 7. Let v be l(-9). Let w(u) = 2 - 4*u + u**2 + v*u**2 - u**2 - 6. Let j be w(4). What is j rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:39 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -633, -882, -1131, -1380?\nAnswer: -1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (3 - 2) - -18?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -l, 4*l - 2 - 11 = c. Solve l*j + 5 - 14 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -5*i - 0*u + 10, 3*i + 18 = 3*u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-48) - 1\/(-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - u - 4795 = 0, 0 = 38*u - 41*u - 3. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**3\/3 - x**2\/2 + 4*x. Let i be n(3). Suppose i*m = m + 28. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -149. Let z be 1*u - (7 - 5). Let m = -31 - z. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/108 and -32\/3.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*v + 459*v = -189 + 2969 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 0*m + 0*m + (271*m - 123*m - 133*m + (-3 + 5 - 4)*(-m - 2*m + 2*m))*(-5 + 2 + 4).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 225\/8, 56428, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 11*y - 4. Let z(i) = 12*i - 4. Let f(d) = 5*j(d) - 4*z(d). Suppose 2*m - 18 = 4*p, -14 = -4*m - 3*p - 0. Let b(n) = -n + 1. Give m*b(t) + f(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l = 790. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*t - 14*t - 26*t + 20*t - 86*t.\nAnswer: -171*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3567000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 - 93. Solve 3*s + v = -5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -2*n**3\/3 + 156*n**2 - 310*n + 1088. Factor s(z).\nAnswer: -2*(z - 155)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) -0.3 (c) 3.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**6)\/s*s*s**(5\/3)*(s**(-1\/4))**(-12) assuming s is positive.\nAnswer: s**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -0.07294.\nAnswer: 0.12706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -224 smaller than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -552*l + 625. Let z(j) = -268*j + 312. Let t(y) = -2*s(y) + 5*z(y). Differentiate t(a) wrt a.\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/15)\/((-1)\/(-54)). Let f = -9 + l. Let o be (15\/f)\/((-2)\/(-6)). Solve 5*m - 6 = -4*j, 0 = -o*j - m - 2*m + 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27476, -18839, -10228, -1655, 6868, 15329, 23716?\nAnswer: 32017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 350.5106ml?\nAnswer: 0.3505106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-4\/9))\/(r*r\/r**(-9)))**50\/(((r*r\/(r\/(r*r\/(r*r**(-4))*r)*r))\/r)\/r**(-2)*r**(3\/4)*r**(-2\/3)) assuming r is positive.\nAnswer: r**(-15655\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(2\/32) - (-280)\/(-10)) + (132 - -2)?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1280918\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12646 and 3919370.\nAnswer: 3906724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-3 + l**3 + 3) + 4*l**3 - 2*l**3 - l**3 + 4*l**3 + 0 + 1 - 2*l**3.\nAnswer: 4*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + g. Let t(i) = -27*i + 163. Let z be t(6). Let o(k) = -8*k**3 + 2*k. Calculate z*o(u) - 2*f(u).\nAnswer: -8*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17003 + -16709. Calculate the smallest common multiple of 735 and i.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 293*c**6\/120 + c**5\/60 - 3059*c**3\/6 - 7*c**2 - 9*c. Differentiate h(y) wrt y.\nAnswer: 879*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277 = -8*q - 1237. Let r be 16\/q - 647\/(-15). Is r at most as big as 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 - 46. Solve 0 = n*g + 3*g - o - 6, 4*g = 2*o + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 43170, 86342, 129514?\n\"Answer: 43172*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 213\/4 - 1069\/20. Is f less than or equal to 2\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -143*((-6)\/20)\/(2\/(-10)). Let j = l - -215. Factor 0*s + 0 + 5\/4*s**3 - j*s**2.\nAnswer: s**2*(5*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 20 (c) -3 (d) -4\/3 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4157 divided by -24?\nAnswer: 4157\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/48 and -91\/196970?\nAnswer: 4727280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, x: 1, g: 1, v: 1, z: 1}. What is prob of picking 1 v and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 2585?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -307 + 329. Calculate the remainder when k is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 35 + (6 - -2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 8:40 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r\/r**(3\/11)))\/(r\/(r\/(r**(-14)\/r))))\/(((((r\/((r\/(r*r*r**(-1\/6)*r))\/r))\/r)\/r)\/r)\/r**(-6)) assuming r is positive.\nAnswer: r**(689\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-11)*3\/(-2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/42 and 137\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 3*o**2 + 28*o + 3. Let h be l(7). Let t(w) = 8*w**2 + 4*w. Let q be t(-3). Suppose 0 = h*u - q - 15. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6982619 a multiple of 1063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -207*n + 208*n + 3, -5*u + 27 = 4*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6551485, -26205997, -58963517, -104824045, -163787581, -235854125, -321023677?\nAnswer: -419296237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((59 - (-1 - -1)) + (-2149 - -2163)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1767 (base 10) to base 15\nAnswer: 7cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 6:39 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7015, -1, -0.098?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 5:09 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 338 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*n - 16. Suppose v + y - 4*y + 8 = 0, -4 = -y. What is the first derivative of 5*m**n - v + 1 - 8*m**4 wrt m?\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 8. Let q be (30\/(-20) - 1)*-2. Suppose 5*m + 21 = -r, k + 2 = -5*r - q*m. Solve 2*x + 4 = -2, 0 = 3*i + r*x + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-5))\/((0 + 4)\/(-240)). Suppose 4 - l = -5*n. Solve -n*v - 12 = -0*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -40*o**6 - 4*o**5 - 10*o**2 - 4*o. Let y(a) = 81*a**6 + 9*a**5 + 19*a**2 + 9*a. Let p(h) = -9*b(h) - 4*y(h). Find the third derivative of p(d) wrt d.\nAnswer: 4320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2784 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533*y**3 + 48*y**3 + 13*y**3.\nAnswer: -472*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 8. Let m(k) = k**3 - 6*k**2 + 5*k. Let d be m(5). Let c(v) = -7 + d*v + v - j*v. What is c(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 5*c - 13. Let d be v(10). Let s = -39 + d. Round s to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -1\/12*p**4 + 0*p**2 - 1\/3*p**3 + 20 + 10*p. Let f(s) be the first derivative of n(s). Give f(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98 - 110) + (3 - 2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-1)\/(-1) - -4. Let g = 5 + -4.8. Let i = -0.1 + g. Which is the nearest to i? (a) o (b) 0.2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = o + 10, 4*o - 17 = -0*o + j. Which is the second smallest value? (a) 2 (b) o (c) -2\/13 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 12 = 3*c, 0 = 3*c - c - n - 3. Suppose j + c*j = 3*a + 121, -j = 5*a - 161. Let b = 218 - j. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**11*(n**(-5)*n)\/n)\/(n**(-2\/9)*n**(2\/11)) assuming n is positive.\nAnswer: n**(598\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t - 44*t - 32 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2107876 is divided by 160?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t + v = -418, 4*t - 1672 = 5*v. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -10848\nAnswer: -5424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220 divided by -1110?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58287*o + 58283*o + 2*b - 6 = 0, o = -0*b + 2*b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9675713477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -496646700 to the nearest one million.\nAnswer: -497000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64107132917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4.2, 1\/5, -1\/3, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 140\/44 - (-141788)\/11. Suppose 4*h = -h + 5*w + p, -5*w - 7732 = -3*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1)\/(51*(-1)\/(-24)*(63 + -65)).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 269*x**8\/84 - 641*x**5\/30 + x**4\/12 - 13*x**2 + 19*x. What is the third derivative of w(s) wrt s?\nAnswer: 64560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1019\/104 + -5\/104. Calculate the common denominator of (19\/7 + -4)\/((-2)\/4) and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 - 4)*((0 + 3 - 4)*(-1 + k + 1) - 7*k + 2*k + 2*k) to u*k + b and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -34.1. Suppose 4*u = 5 + 7. Let j = u - 5. Are a and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*k - 969422 = 0, 2*b + 3*b - k = 2423463. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -117.91 + -4.09. Let p = 111 + -230. Let d = p - t. Which is the nearest to 12? (a) -2\/15 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 175464 = -s, 5*l + 5*s - 7*s = 219327. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*g - u - 7 = 0, 2*g = u + 15. Let j(w) = 24*w - 31. What is the hundreds digit of j(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 7*z**2 - 101*z - 15. Calculate o(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4372*b = -5*k - 4377*b - 65, 3*k + b + 47 = 0 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -220.2 - -220. Which is the closest to -2\/5? (a) m (b) 5\/3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51168912 a multiple of 1718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (11 - 23)) + -4 + 15 + -14.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(34) + sqrt(34) - sqrt(34))\/sqrt(2))**2 + sqrt(1377) + 0.\nAnswer: 9*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8258190?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -44. Let t(w) = -w + 5. Let r(p) = -p. Let d(u) = -4*r(u) + t(u). Determine d(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by -3?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-38 - 96*l + 24 + 14).\nAnswer: 192*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o - 11 + 24 - 193 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**2*p**4 - o**2*p - 5476*o*p**5 - 6686 wrt p?\nAnswer: 12*o**2*p**2 - 109520*o*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhh. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**9)**(-3\/40)*(z**(-1\/3)\/z)\/z**11 assuming z is positive.\nAnswer: z**(-157\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*o + 18. Let b be o - 12\/(-4 + 1). Let t be (-2)\/8 + 58\/8. Solve 2*z - 3 = 5*i, -4*z = 3*i - b*z + t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1944146 and -43\/212.\nAnswer: 3888292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*c - 50 = -8*o, 2*o - 20 = 5*c. Calculate the remainder when 18 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 48. Let h be (-25)\/(-14) - (-4)\/m. Let o = -0.08 - -0.38. What is the smallest value in o, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a week in minutes?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -5 (c) 0 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3416 and 554246?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8791 (base 15) in base 6?\nAnswer: -340531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*m = 120. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/7)*d*d**(-1\/10))\/((d\/((d*d\/d**6)\/d))\/(d\/d**(-1\/6)*d)))**26 assuming d is positive.\nAnswer: d**(-9178\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -377 - -567. Suppose v = -4*v + c. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 7:22 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16139096, 16139064, 16139032, 16139000, 16138968?\nAnswer: 16138936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -325\/42 - -49\/6. What is the nearest to 1 in -2, 1\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*r + 11, -r = -5*d + 24 + 6. Let j(p) = -p**3 + 8*p**2 + 11*p + 10. Let v be j(d). What is the highest common divisor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**5 + 1580*u**4 + 194428*u**3 + 7643204*u**2 - 194432*u - 7644784 = 0.\nAnswer: -199, -98, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 132067969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = 18 - 118. What is the highest common divisor of h and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -83*y. Let q(l) = 26*l**2 - 12*l. Determine w(q(v)).\nAnswer: -2158*v**2 + 996*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 917 - 486. Let f = -302 + l. Is 26 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25760404 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 14535*z - 218030. What is s(15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 447567*t**4 + 448254 wrt t.\nAnswer: 1790268*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + 4*sqrt(102)*-5)\/(sqrt(24)\/sqrt(36) - sqrt(6)).\nAnswer: 57*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2)*(v\/(v\/v**(-8)*v))\/v)\/((v\/((v**(-6)\/v*v*v)\/v))\/(v\/(v\/(v**5*v)))) assuming v is positive.\nAnswer: v**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 12*q**2. Let o(v) = v**3 + v + 21. Let s be o(0). Let z be (-3 + 6)\/(15\/55). Let n(i) = -z*i + s*i - 8*i. Calculate n(m(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 11*a + 38176. Is ((-2)\/4)\/(1 - (-9548)\/a) 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 {d: 1, q: 2, e: 3, l: 9, j: 3}. Give prob of sequence ljqq.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n**5 + 246140*n**4 - 14741915*n**3 - 35573660*n**2 - 10210780*n = 0 for n.\nAnswer: -16469, -2, -1\/3, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2128283 + 3.8.\nAnswer: -2128279.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - -37. Let q be 4\/(s\/10) + 5. Suppose p = -5 + 2. Sort -2, q, p, 1.\nAnswer: p, -2, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.53292 - 34911341?\nAnswer: -34911318.46708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22330 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q - 10*q - 5*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o + 192 - 148 = -p, 2*p + 4*o = 32 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*y**2 + 37*y**2 + 73*y - 22*y**2 in the form o + x*y + d*y**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 154350 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(1\/7)*i*i*i\/(i**1*i)*(i**(2\/3)\/i)**(2\/5)*i**(6\/11)\/(i**(-5)\/i)*(i*i**0\/i)**(25\/3) assuming i is positive.\nAnswer: i**(9551\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*u - 3458 = -190*u - 37*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 3*z + 4. Suppose 0 = -249*l + 247*l - 8. What is a(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -3736?\nAnswer: -3732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121 - -176. Let y(d) = -3 + 2 - 1 - 12*d. Let v be y(-2). Calculate the highest common divisor of v and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*z**2 + 52*z + 6.\nAnswer: -2*(z - 3)*(9*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4129297987 and -12?\nAnswer: 4129297999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -45*p**3 - 49*p**2 + 28*p - 35. List the prime factors of a(-10).\nAnswer: 5, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.00125 - -0.000846. What is z rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + (sqrt(84)*1 - sqrt(84)))\/sqrt(4))\/(sqrt(35)\/(sqrt(5) + -3*sqrt(5))).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 13*k + 69, -2*k - 275 = 2*n - 301 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is (20*14\/1680*-3)\/(9\/2196)?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 - -5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12619614.520093 + -12619621. Let z = b - -6.475. What is z rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-65 - 0) + (-3 - 2). Let x = 659 + w. Calculate the highest common factor of 38 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from {r: 2, d: 7, a: 2, f: 2, g: 2, i: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4382883*d**5 - d**3 - d**2 - 24209231*d + 2?\nAnswer: 87657660*d**3 - 6*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 4, 5*q - 2*u - 3594 = -3613 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2503 - -2508. Let n(y) be the third derivative of 0 - 1\/8*y**4 + 0*y + y**2 - 1\/60*y**g + 1\/3*y**3. What is n(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k - 20. Determine p(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 11*j - 6. Suppose -j*g - 2*w - 630 = -7*g, 5*w - 15 = 0. What are the prime factors of g?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7885 is divided by 537?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g - 2. Let a be g + 1 + -5 + 12. Let n be 2 + 0 - (-6 - -4). Let p(i) = -2*i**3 + 3*i**2. Let v(t) = 5*t**3 - 7*t**2. Determine a*p(l) + n*v(l).\nAnswer: 2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-494)\/130 - 5\/25)\/(50\/(-15) + 2). Let m(d) = -d**3 - 3*d**2 + 5*d + 6. Let f be m(-4). Solve y - a - f = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558462.\nAnswer: 2, 3, 93077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -188.723 - -190. Let x = o + 0.053. Let r = 0.33 - x. Put -0.4, 0, r in decreasing order.\nAnswer: 0, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 413734208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13904, -13913, -13926, -13943, -13964, -13989, -14018?\nAnswer: -14051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*l - 6, -5*x + 4*x = 4*l - 2. Let j(i) be the first derivative of -6*i - 2 + 1\/3*i**3 + x*i**2. Give j(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 4)\/((-6)\/(-8)). Calculate the least common multiple of (3 - d)*12\/7 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1680 - -28478. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*c + 8, -c = -0*c. Suppose -u*m - 8 = -6*m. Calculate the least common multiple of 9 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. Let y be (m - -2 - 6)*-1. Which is bigger: 19 or y?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and -0.18069.\nAnswer: 3.79449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(5\/1))\/1. What is the tens digit of z + 747 - (-2 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2 = 2*z, -3*z - 25 = 3*s - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from jjjccj.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)*w)\/w)**(2\/111)*(w*w*w**2)**33 assuming w is positive.\nAnswer: w**(14648\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdk when three letters picked without replacement from {x: 3, i: 6, k: 2, d: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/10 - 2\/(-4). Suppose 2*l = 0, 0 = 4*m - 0*l + 2*l - 72. Let j = m + y. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c. Let a(j) = 6*j. Let m be -1 - -2 - (7 - 22). Let h(r) = 16 - m + 7*r. Let s(k) = 6*a(k) - 5*h(k). Give s(u(d)).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28\/6)\/(0 - 3\/9). Put 2, 0, a in ascending order.\nAnswer: a, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4414 + -3?\nAnswer: -4420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20160 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (186\/(-44919))\/(15 + 1696\/(-112))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - x - 47. What is b(0)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 30 - -854736\nAnswer: 854766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 12916673.8 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 4*k - 2. Let s be q(-5). Let z be 83*15\/(-30) + (-6)\/(-4). Let y be -1 - 1 - 120\/z. Which is the smallest value? (a) s (b) y (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**2\/c)\/c)\/c*c\/(c\/c**(1\/5)))\/(c**(-1)*c*c**(1\/2)\/c) assuming c is positive.\nAnswer: c**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10\/17, 1582043, 3?\nAnswer: 1582043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -a487a (base 16) in base 15?\nAnswer: -d4a29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21\/26 + -53\/130. Let p = -0.52 + -34.48. Let x = p - -44. Which is the third biggest value? (a) -0.1 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 0*g - 1\/1512*g**8 - 4*g**2 + 7\/270*g**5 - 1\/60*g**6 - 1\/54*g**4 + 1\/189*g**7 + 0 + 0*g**3. Let f(v) = 0. What is v?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8627, 17328, 26029?\nAnswer: 34730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 30. Let y be w(0). Suppose g - y = -0*g. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1189*0.031.\nAnswer: -0.0036859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -414254 - -443?\nAnswer: -413411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40340 - -10?\nAnswer: 40400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4203*f - 46196. Determine v(-11).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233.597 centuries in decades?\nAnswer: 12335.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/4*20)\/(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9875196 = 89*k - 9878044 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 55*g - 220. Calculate the remainder when 156 is divided by x(59).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -6. Suppose -2*j - 2 = 4, -4*p + 4*j + n = 0. Is (-7)\/p*2*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by -149200.\nAnswer: -31\/149200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11 (b) -0.5 (c) -257885 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: c7 (base 13) to base 15\nAnswer: ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 441033\/7 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -27. Sort 0, t, 4.\nAnswer: t, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q. Let m be h(1). Suppose -2*u = -m*u + 2*g + 114, -g + 3 = 0. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 66*z**2 + 75*z - 538. Give q(67).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k + 445 + 590 = 0. Suppose -d - 4*d + 115 = 0. What is the remainder when k is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, y: 1, e: 1, q: 5, j: 1}. What is prob of picking 1 k, 1 y, and 1 q?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268758463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*t = -34, -3*d - 3*t - 78 = -8*d. Calculate the lowest common multiple of 3 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 22 + 2. Suppose 2*d = -4*b + r, 2*b + 0*b = 2. Let c(x) = -5*x - 6. Let g be c(-6). Calculate the highest common factor of g and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -407.\nAnswer: -6\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04575766 to five decimal places.\nAnswer: 0.04576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = -38*y - 273 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7897 + 0.5.\nAnswer: -7896.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8925 is divided by 470?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (6 + -5 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1501552 and 23\/635272?\nAnswer: 16517072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from syjyyzyjssyj. Give prob of picking 3 s.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 7*f - 10. Let k be (-16)\/10*(5 - 0). Let j be i(k). Let l = -0.1 - -0.2. Which is the nearest to l? (a) j (b) 2\/19 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, 4, -3\/8, 7, -68 in increasing order.\nAnswer: -68, -3\/8, 0.24, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.001 times -4\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5361540983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) 1\/3 (b) -1 (c) -2\/11 (d) -2\/15 (e) -12\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*p**4*t - 3*p**2*t**2 - 2*p*t**2 + 45*t**2 + 1 wrt p.\nAnswer: 408*p**2*t - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 3 - 6*c + 12*c**2 + c**3 + c + 2. Let s be n(-12). Let d(j) = j**2 - 18. Let f be d(-5). Calculate the highest common divisor of s and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-132798.\nAnswer: 132798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, -2, -647, 26, -5, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6636532909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5 + 4 + h**2 - 5 + 61*h - 56*h. What is the units digit of r(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/(sqrt(56)\/sqrt(7)))\/sqrt(2).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*t**3 - 100*t**3 - 123*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3215, 3166, 3117, 3068?\nAnswer: 3019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 4*l - 20 = 2*d, l - 4*d = 4. Suppose 0 = -i - l*p + 88, p = -i + 2*p + 108. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 43 + 11)*(63*f**2 - 29*f**2 - f**3 - 27*f**2 + 3).\nAnswer: 55*f**3 - 385*f**2 - 165","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1344 + 1267 = 11*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6\/5, 1, 14\/13, -1\/79?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/38)\/((-151)\/5738)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 0.2, 2\/65, -2, -29 in decreasing order.\nAnswer: 0.2, 2\/65, -1, -2, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (2 + 6 + -13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1658184?\nAnswer: 2, 3, 11, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4124 + -63.\nAnswer: 4061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 5 (c) 6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-17)\/((-935)\/(-1210))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 180660794 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 932786 = 11810*n - 11772*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 8*d**3 + 3*d**2 + 8. Let i(p) = -16*p**3 - 5*p**2 - 15. Calculate -3*i(m) - 5*l(m).\nAnswer: 8*m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1674?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.431 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -167 - -5?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 5 - (-78819)\/645)\/39 + -3?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 = -2. Suppose -5*u + f = -8. Calculate the remainder when u is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1203\/2107 or -1?\nAnswer: -1203\/2107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h + 0*h - 7*h + (2 - 2*h - 2)*(1 - 1 - 1) + 2*h - 5*h - 5*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11839 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s = -52*s - 328208870. Let g(u) = 2070353*u - 3. Let d be g(-4). Let h = d + s. Round h to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, 4, -3, 88 in decreasing order.\nAnswer: 88, 8, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*(b\/(b\/(b*b\/(b**13\/b))))\/b)*b))\/b)\/b*b*b**(-2\/11)*(b\/(b\/(b\/(b\/(b*b**11)))))**27 assuming b is positive.\nAnswer: b**(3430\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285809 is divided by 784?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**6*g*g)\/(g*g**(-2\/3)\/g))**(-40)\/((g\/g**(-1\/4))\/g**(2\/15))**(-25\/3) assuming g is positive.\nAnswer: g**(-12145\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15596 is divided by 760?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 423312619 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-136)\/(-6))\/((-8)\/(-12)). Calculate the common denominator of (-3609)\/(-102) - (-4)\/a and -77\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 31 and 2489.91.\nAnswer: 2520.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.659 - 0.32. What is c rounded to 2 dps?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + 2. Let k = -1.56 + x. Round k to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5804 - -5804. Let o(v) be the first derivative of s*v - 4*v**5 + 0*v**4 + 4\/3*v**3 - 4 + 0*v**2. Find the third derivative of o(a) wrt a.\nAnswer: -480*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 11 + 1551*f + 4946*f + 3925*f in the form m*f + d and give m.\nAnswer: 10422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*v - 15 = 171*v - 113 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -11*l**2 + 8*l - 18. Let m(g) = 31*g**2 - 22*g + 57. Calculate -8*h(r) - 3*m(r).\nAnswer: -5*r**2 + 2*r - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12672?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142485 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5032*c + 743 = -5037*c + 68*k, 0 = -3*k + 33 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.213, -19.8, -1\/2, 0.2 in descending order.\nAnswer: 0.2, -0.213, -1\/2, -19.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 0 + 36 + 38)*(q**2 + 3*q**2 - q**2)*(-87 - 37*q**3 + 87).\nAnswer: -10878*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.128*4.2\nAnswer: -0.5376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 2:07 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c + 7. Let f be d(-8). Let p = -657 - -283. Calculate the remainder when (-3)\/(-2)*p\/f is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 0*q**2 + 30*q - 1\/2*q**3 + 0. Let l(z) = 12*z**2. What is l(i(p))?\nAnswer: 108*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 22*h - 131 + 14*h - 37*h + 12 + 7*h. Give c(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1939686441.\nAnswer: 3, 7, 11, 43, 195277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) + (-5 - -6). Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 559 and 1195142?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 38 + 1717*p - 40 + 106)*(119*p**4 + 132*p**4 - 232*p**4).\nAnswer: 32623*p**5 - 19*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.411 (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 33*v**3 + 1 - 1 - 6*v**3 in the form t + z*v**3 + l*v + m*v**2 and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -18180*t**2 + 2*t + 9. Let r(a) = -3*a. Give r(x(z)).\nAnswer: 54540*z**2 - 6*z - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -42. Suppose -4*k + 5*y = -b - 6, 2*k + 3*y = 16. Suppose 0 = -4*j - k, 2*j = -t + 2*t - 10. Solve -o - 2*o + t = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 50707074 + 7*h - 50707074.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, w: 2, l: 1, z: 1}. Give prob of sequence lwzw.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 + 0*p**3 - 11*p**4 + 803 - 8*p**3 - 2*p - 802 - p**2 - 4*p**3 to g*p**4 + c*p + y + m*p**2 + o*p**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 445 and 0.2.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(93\/(-9) - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4)*4*-2. Let z = 25 - r. Suppose 4*k + 2*q - 56 = 0, 2*k = -3*q - 8 + 40. Calculate the highest common factor of z and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b + 1. Let i(z) = -7*z + 2. Let c(r) = 6*i(r) - 5*u(r). Let y be c(-7). Let n = 133 - y. Calculate the remainder when n is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/h**(-6))**15 assuming h is positive.\nAnswer: h**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.65 + -0.75. Which is the closest to g? (a) -3\/7 (b) 15 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 11*j**8\/6720 + j**6\/120 - j**4\/6 - 6*j. Let o(w) be the third derivative of y(w). Find the second derivative of o(t) wrt t.\nAnswer: 66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*((-28)\/7)\/8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6\/407 - 21553\/1221. Do -18 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 1 (c) 3\/2 (d) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 745*c = 748*c - 84, 0 = 7*v - 5*c + 116 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 912.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 3*m**7\/14 - 8*m**6\/5 + 81*m**5\/20 - 5*m**4\/2 - 6*m**3 + 12*m**2 + 16*m. Determine b so that j(b) = 0.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29 - -3a?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -3 (c) 8.7 (d) 3 (e) -2\/13 (f) -116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 145 = 5*v. Suppose 5*i + 5*p = i + v, 4*p = i + 19. Solve -2*u - 7 - i = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (8 - 12 - (-2 - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 321843191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95502683 is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-40))\/(4\/(-4)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r - 13. Let k be d(5). Suppose 24 = s + k*s. Solve -m - 5*o + 21 = 0, s*m - m + 5*o = 22 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15541.2 and -28.\nAnswer: -435153.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5. Let s = 0.09 + 0.02. Let h = s - 5.11. What is the nearest to 1\/4 in p, h, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -304 + 75. Do u and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/570*(1764\/(-8) - 2) and 13\/24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -293*w**2 - 542*w + 2. Give t(-2).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g - 5. Let h be x(-2). Suppose 3*d + 5*w = -0*w + 29, -w = d - h. What is the first derivative of -13*i**d - i**3 + 5 - 18 wrt i?\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 733, 2997, 6961, 12781, 20613, 30613, 42937, 57741?\n\"Answer: 26*o**3 + 694*o**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -43*f + 1. Let r(l) = -26*l**2. Calculate q(r(w)).\nAnswer: 1118*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10*(22 + -99) + -15 + (-3)\/5.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 12. Let c be k(13). What is the units digit of 0*c\/5 + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/8)\/(6\/8) - -1. Let y = 6 + x. Let o(f) = 2*f**3 - 5*f**2 - 4*f + 15. Is o(y) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-113)\/1 - 40\/(-20). Let l = -146 - p. Do l and -261 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 963563868 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 0 + (sqrt(72)*1)\/sqrt(9))*2 - ((sqrt(800) + 2)*2 + -1).\nAnswer: -24*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7422 + -2?\nAnswer: 7420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) + (-9)\/((-189)\/120). Suppose 4*r - 4*l = l + 14, r - 4*l + 2 = 0. Calculate the greatest common divisor of r and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33251794*d*x**2 - 2644*d*x - 8*d - 53*x wrt x?\nAnswer: 66503588*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 69\/21 - (-2)\/(-7). Suppose 2*r + 0*m + 5*m + j = 0, -5*r - 4*m = 16. Is (r + 2)*13\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c + c**4 - 4*c + (5*c - 2*c - c)*(-3*c**3 - 53*c + 53*c) + (-c**2 - 4*c**2 + 2*c**2)*(-5*c**2 - 4*c**2 + 5*c**2).\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1264 + 437?\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154 - -5. Suppose -b - w = -3*v - 24, -56 = -v + 4*b. What is the highest common divisor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -15 + 7*l + 4*l - 13 + 23. Let w(r) = 6*r - 3. Let q(n) = 3*i(n) - 5*w(n). Let t(g) = g - 16. Calculate t(q(c)).\nAnswer: 3*c - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 17. Let v(c) be the second derivative of -c**5\/20 - 2*c**4\/3 - c**3 + c**2 + c. Let a be v(y). Is a smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5504 is divided by 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 0*w**2 - w**5 - w**5 - w**2 + (-5*w**2 + 4*w**2 + 3*w**2)*(1 - 1 - 9*w**3) + (-6*w**4 + 7*w**4 + 7*w**4)*(2*w + 30*w - 16*w).\nAnswer: 108*w**5 - w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6681)\/(-17))\/(43 - 4\/1). Do h and 10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13035*j**4 - 43*j**3*l**3 - l**3 + 4731434*l wrt j.\nAnswer: -52140*j**3 - 129*j**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2858010 rounded to the nearest 10000?\nAnswer: -2860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 980 and 1900.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/7))**(-41)\/(d*d\/d**(1\/2))**(2\/5) assuming d is positive.\nAnswer: d**(184\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**3 + 18*s**2 - 22*s + 14. Let i be l(3). Let b(p) = 1 + 2 - 2*p**2 - 2*p + p**2. Let w be b(-3). Put 4, w, i in increasing order.\nAnswer: w, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*o**2 + 14*o**3 - 54*o**2 + 1 - 12*o**3)*(-2 + o + 2).\nAnswer: 2*o**4 - 160*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45\/(-36)*-4 - -7. Let b be 45\/(z - 3) - 73. Which is smaller: -339\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3049 + 775*x**2 - 1236*x**3 - 6088 + 3039 wrt x.\nAnswer: -7416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 17, 51, 101, 173, 273, 407, 581?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 0.1 (b) -2 (c) 93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(sqrt(17)*-4 + 5) + -4*(4 + sqrt(51)\/sqrt(3) + 5).\nAnswer: -28*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-8)\/(-12)*(-2)\/(-4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {o: 5, p: 3, x: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) - 615\/60. Let c be ((-260)\/(-15))\/(t\/15). Calculate the remainder when 1336\/104 + 0 + (-4)\/c is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42987873.\nAnswer: 3, 71, 201821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 - 92 = 4*v. Suppose -v = -5*t + 300. Suppose 0*a - t = -2*a. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78930 is divided by 298?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-16)\/(-18)))\/((-15)\/10)*23400\/63180?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + 4*s - 4. Let b be n(-4). Suppose -5*z + b + 42 = 0. Suppose 2*a = r - 0*a - 7, 5*r - 3*a = z. Solve 4*w - 3*w = -r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (26 - 1) + 3 - -2. Suppose 0 = -4*i + s - 6. Let n be (-14)\/(-105)*(i - 1). Which is the biggest value? (a) n (b) -0.1 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 28, 2, -86 in increasing order.\nAnswer: -86, -4, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1 - 5 = w, -w = m. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by -18724518.\nAnswer: 34\/9362259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = -2*a, -4*a - a + 5 = -5*g. Suppose -3*u + 42 = 4*u. Solve 5*v - a = -u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 4:53 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 324 + 136 = 3*u, -3*d = -15. Let t be ((-1)\/(-1) - u\/(-20))*-8. Let b = -59 - t. What is the remainder when 20 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + t - 1. Let h(u) = -3*u - 4. Suppose 15 = z + 14. What is z*m(n) + h(n)?\nAnswer: n**3 - 2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -28, -65, -118, -187, -272?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 6) to base 8\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 760\/(-133) - (10\/(-14) - -1). Let s(a) = 5*a**2 - 1. Let c(b) = 9*b**2 - 2. Give j*c(x) + 11*s(x).\nAnswer: x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 1.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34112 divided by 533?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147012 is divided by 363?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 876\/(-22) + 8\/(-44). Let p = 59 + o. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 259.44 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*q - 60 = 0, 4*t + 5*q + 49 - 10 = 0. Which is smaller: -14 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-2 + 3)*4 + (-4*(sqrt(121) + sqrt(121) + sqrt(121)*-1 + sqrt(121)))\/(sqrt(77)\/(-2*sqrt(7) - sqrt(7))).\nAnswer: -32*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**1)**24\/(((y*y**(1\/3))\/y)\/y)**(5\/4))**(-5\/14) assuming y is positive.\nAnswer: y**(-1465\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*y = 6, -3*y - 2*y = 56 - 56. Suppose 2*a - f = -3, 4*a + 2*f = -2*f + 12. Solve -2*d - z = a, -2*x + 11 = -4*x - d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 3350*t**2 + 23383*t - 1. Determine h(7).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -102*i**2 + 214*i - 216. Give j(1).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a. Calculate d(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(-q + 2 - 2)*(-q**4 + 2*q**4 + 0*q**4 + 3*q**4 + 0 + 0 + (-2*q**3 - 1 + 1)*(-3*q + 3*q - 3*q)).\nAnswer: -10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w + 1. Let y be r(-1). Let s = y - 6. Let z = s + 5. What is the least common multiple of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.631 * 0.5\nAnswer: -0.8155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 1, -2\/45, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4282 + -1976. Let s = -9321\/4 + g. Let q = -24 - s. Sort -2\/9, q, 0.3, -0.2 in decreasing order.\nAnswer: 0.3, q, -0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*y - 36*y - 18 = 0. Suppose 0*f - 2*f + y = 0. Calculate the lowest common multiple of 38\/4 + (-1)\/(-2) and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11626*f + 244450. Determine u(-21).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 684.8498 kilograms to milligrams.\nAnswer: 684849800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -54, -99, -162?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c**2 + 14*c - 1. Let w(a) = -10*a**2 - 12*a + 1. Determine 5*k(d) + 6*w(d).\nAnswer: -20*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4739.95 to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -11*u**3 + 2*u**2 + 6*u + 3. What is d(-2)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*s - 7*s + s)*(1917*s - 1917*s + 17*s**2) to the form l*s + c*s**3 + j + z*s**2 and give c.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 11*s**2 - 2*s + 13. Let j(f) = -2*f + 23. Let v be j(7). List the prime factors of d(v).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-18)*(-3)\/(-22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -390, -781, -1172, -1563, -1954, -2345?\n\"Answer: -391*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*s. Suppose 5*d - 5*p - 30 = s, 2*d + 2*p + 5 = -3*d. Solve d - 5 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-4*h**4 + h**4 + 2*h**4) - 2*h**4 + 4*h**4 + h**4 + 1432*h + 183*h**4 - 1432*h.\nAnswer: 187*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2193801 is divided by 87752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-426)\/42 + 10)\/((-1310)\/4). Let x = l + 4101\/1109570. Is 0 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (sqrt(15)\/(sqrt(605)*2) - ((sqrt(3)*1 + -1)*3)**2)).\nAnswer: -128 + 794*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**3\/6 + 2*o**2. Let q(f) = 22 - 34 + 2*f + 16. Let b = 1 - 3. Give b*i(v) + q(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -618, -640, -658, -666, -658, -628, -570?\n\"Answer: r**3 - 4*r**2 - 17*r - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = 11*u + 157473. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1327*j**3 + 9*j**2 + j + 8. Let i be f(-8). What is i rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -139*o**3 + 3*o**2 + 2*o - 2. Let b be r(-1). Let x be (-3)\/(-12) + (-1455)\/12. Let g = b + x. Calculate the greatest common factor of 187 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11500771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.98 + -2. Let h = -0.28 + s. Let x = -4.8 - -5. Which is the closest to x? (a) 3 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*x - 3*p, 4*x - 3*p = p + 32. Let r = -1 + x. Suppose -6*m + r*m + 112 = 0. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 5*u = -9*d - 16 + 30, 3*d + 30 = 3*u for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10 - -20 - (2 + 5 + -3). Let l be -2 + ((-2)\/1)\/(-2). Sort l, 2, v.\nAnswer: l, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence die when three letters picked without replacement from {b: 1, i: 1, d: 3, p: 1, e: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-40)*(-45)\/18)\/((26\/25)\/13).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 - 6) + (-1 - -7). Let y be ((-2)\/(-8))\/(18*(-1)\/d). What is the third smallest value in 5, y, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/20*415\/(-1494)*-6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -2*h + 30, 65*h = 42*h + 2*b + 280 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/3568419 and -61\/1686?\nAnswer: 7136838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -76779327.\nAnswer: 30711730.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 26*z = -23*z - 4, 0 = 6*z - 2*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 11*t. Give a(-4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*a**3 + 6808666*a**2 - 6808666*a**2.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*y = 36*y - 8950. Which is smaller: -360 or y?\nAnswer: -360","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 11 + 19*k**2 + 6 - 2 - 5*k**2. What is the tens digit of q(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557.2 rounded to the nearest 10?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112111212 (base 3) to base 11.\nAnswer: 7a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 4) to base 7\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2889 - 2710. Let s(r) = -17*r + 4. Let u be s(5). Let v = g + u. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(-11*h + 4*h + 5*h)*(4*h**3 - 5*h**3 - 8*h**3) in the form o*h**2 + q*h**3 + m*h + a*h**4 + v and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 8, 0.039, -3.\nAnswer: -3, -0.1, 0.039, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 29 = 1. Suppose 90 = -5*k + k + 2*q, 57 = -2*k + 5*q. What is the tens digit of 424\/r + (-14)\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1888 (b) -3 (c) -8193\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34352.\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -17*s**2 + 2*s + 16*s**2 + 5 + 0*s. Calculate l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 588?\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 36*i - 158. Calculate d(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/21)\/((-6)\/9). Put -2, n, -2\/3 in descending order.\nAnswer: n, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12583 and -2.\nAnswer: -0.25166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -1, 0, 2618, -5 in increasing order.\nAnswer: -5, -1, 0, 41, 2618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1644 divided by -225\nAnswer: -548\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141 + -135. Let d(o) = 3*o. Let u(b) = 5*b. Let v(h) = f*u(h) - 14*d(h). Let t(r) = 3*r**2 - 59 + 59. Calculate t(v(l)).\nAnswer: 432*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2968163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -17. Let b = 35 - z. Let f(m) = -m + 0 + b + 5. What is f(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13203 + 41413?\nAnswer: 110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from mquhqhmhmmmmjumqgjmh.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 871*x - 17400. What is t(20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1596*t + 6398*t - 1596*t - 1595*t - 1610*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*q + 348 = 0, 0 = 5*a + 3*q - q - 435. Calculate the greatest common divisor of 29 and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/30 + (352\/60 - -7). Does v = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**0*r)**(-14\/5)*((r*r**(-2\/5))\/r*r*r*r)\/r*(r**6\/r)\/r*(r**(-4)\/(r*r**(-1\/6)))\/(r\/(r**(-1)\/r))**47 assuming r is positive.\nAnswer: r**(-875\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((6\/141 - 73960\/191760)*(-12)\/28)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2642 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -6.3. Let o = u - 3. Suppose v + 0*v = -1. Which is the second smallest value? (a) v (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j - 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8481.194mg to grams.\nAnswer: 8.481194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 6. Let k(p) = 13*p**2 + p + 5. Let m be k(b). Suppose -z + 55 + 144 = 4*y, -z + 2*y + m = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 1. Let h be ((-3)\/9)\/((-2)\/30). Let u be j(h). Let r(q) = -q**2 + 6*q + 4. Let o be r(u). Solve 0*n = -o*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6298 - 6298 + 46*i to the form z*i + j and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 74303965\/2 or 37151982?\nAnswer: 74303965\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 89*q - 43. Is d(71) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 168 + -189. Let m be (-9)\/g - 15\/35. Solve -3*u + 6*u + 3 = m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**4\/4 - 3*w**3 - 7*w**2\/2 - 3*w - 5. Let f be t(11). What is f rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 11, b: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 124473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 - 2*b**4 + 3*b**3.\nAnswer: -b**3*(b - 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*sqrt(76)*-2 + -1 + 5.\nAnswer: 4 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(-40*15\/(-240))*35?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**4\/2 - 232*l**3 + 2227*l**2\/2 - 2777. Find the second derivative of x(r) wrt r.\nAnswer: 12*r - 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + f**2 + f + 11. Let a = -36 + 67. Calculate the remainder when a is divided by n(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10272426.\nAnswer: 2, 3, 19, 251, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t**2 + 5*t - 5. Let h = -4647 - -4651. Let d(j) = 7*j**2 - 2*j**2 + 3*j - 3 + 0*j**2. Calculate h*i(f) - 7*d(f).\nAnswer: f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 727 = -2*u + 2*s, u + 167 = 5*s. Suppose 0 = -4*n + 4, w + w + 5*n + 439 = 0. Let t = u - w. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13490 and 5890?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 divided by -50?\nAnswer: -59\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 11*m + 2. Let y(v) = 6*v**3 + 3*v**2 + 6*v - 11. Let z be y(3). Suppose -z*j + 30 = -202*j. Determine l(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166795, 166790, 166785, 166780, 166775, 166770?\nAnswer: 166765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**3 - 172*z**2 - 61*z - 229. Let v be k(-57). Suppose -3*r - 3 = 12. Which is the fourth smallest value? (a) -8 (b) r (c) v (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from sftaamfthtf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 14 - 44 - 5*v**3 + 84 - 11.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = u + u. Let c = u + 8. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 17*j**2 - 34*j - 216. Calculate the remainder when h(-16) is divided by 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 11\/6*v**3 - 8*v**2 + 0*v + 0 + 1\/12*v**5 + 0*v**4. Differentiate g(n) wrt n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -c - 3*c - 5*r, 0 = -2*c + 3*r - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -718441 and -718441 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - -54 - 35 - -20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -298\/9 >= -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/1819 in -2, 0.3, 3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 8*p**2 - 8*p + 7. Let o be f(7). Suppose 4*h - 17 = 3*q, o = -4*h - 5*q + 34 + 23. Let r = 20 + h. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2823 or 13\/4?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k. Let g(s) = -1133*s. Give a(g(n)).\nAnswer: 2266*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 8. Which is smaller: 14 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*o - 12, -5*q = -3*o - 1. Solve q*f + 4 = 6*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1464.0000681 + -1464. What is k rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13 - -20) + -2 + -1. Suppose x*h = 2*d + 37 - 109, -4*h + 88 = 2*d. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1051*d**3*f + 3269*d**3 - 3*d**2*f - 299*d*f - 2*d + 5*f - 162 wrt d.\nAnswer: 6306*d*f + 19614*d - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7810*j - 38900. Give f(-5).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -730*z - 1604*z - 16 + 18.\nAnswer: -2334*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3381 + 897\/117 + 10\/(-6)?\nAnswer: 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**3\/6 + j**2\/2 - 471*j. Let l(r) = -9*r + 2. Give 6*k(b) - 3*l(b).\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 690908 + -63?\nAnswer: 690845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3014043493 and 1423?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 16 + 48. Let a(o) = -2*o**3 - 8*o**2 - 3*o - 6. Let j be a(z). Suppose j*t = 9*t. Solve t = -c + 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 129*p - 35. Let y be b(1). Suppose -y*a + 9620000 = -96*a. Round a to the nearest one hundred thousand.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 5:39 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/((-7776)\/(-320))*(12\/1 + -2 + 5).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y + 2*y - y**3 + y + 8 + 6*y**2. Let j be b(6). Solve -j*q + 8 = 2*h, 5*q - 5*h - 6 = 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d = 30*d - 124. Solve 4*a + d*n = 6*n, 24 = 4*a + 2*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 612704247*r*y**6 + 6*r*y**2 - 3*r*y + 997*y**2 + 6*y - 89 wrt y.\nAnswer: 73524509640*r*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.1 (c) -0.7 (d) 0.5 (e) -0.3 (f) -545\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**0)**(-8\/15)\/(p**(-7)\/p**(-6)))**(-3\/8))**7 assuming p is positive.\nAnswer: p**(-49\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 297328 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -22. Suppose -3*l = -0*t + 3*t - 63, -5*t = 10. Let n = l + g. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -185 - 81. Is 38 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/142704 and -105\/16117624?\nAnswer: 290117232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -2*l - 24, -4*d - 118*l - 14 = -119*l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from dybbxaxwwxxxywayxx?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0. Let d = -5 + 3. Let m = d + 3. Which is the closest to o? (a) 5 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94 - -94.5. Which is the closest to -2\/3? (a) -0.04 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Let u be ((-8)\/h)\/((-6)\/9). Let t be (-1)\/2 - 21\/u. Which is the smallest value? (a) -2\/9 (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.39022079 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 13739?\nAnswer: 13739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -10.000104. What is w rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31.21 or 371?\nAnswer: 371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x - 32 - 130 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 17*r - 26. List the prime factors of p(6).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**13\/i)\/(i\/i**(8\/9)))\/(i*i**13*(i*i\/(i\/i**(1\/14)))\/i) assuming i is positive.\nAnswer: i**(-149\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.97899921 to 0 dps.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 431*p - 21948. Calculate a(51).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2. Let t(k) be the first derivative of -425*k**3 - 2359. Give h(t(o)).\nAnswer: 6502500*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.16, -549386 in decreasing order.\nAnswer: -0.16, -1\/4, -549386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5267758181.\nAnswer: 7, 8269, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*l**3\/3 - 257772*l**2 + 2900104*l\/3 - 902272 = 0. What is l?\nAnswer: -48336, 7\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - s**2 + 5*s + 2. Let t be m(-3). Let d = 4273 - 4271. Solve h - 2*h = 3*n - 20, -t*n + 35 = d*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/12*(-10)\/15*-7284. Let h = d - 1197. List the prime factors of h.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*f*o**2 + 38630906*f + 5610823*o wrt o?\nAnswer: 22*f*o + 5610823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-6 - -2 - -6))\/((-14280)\/164220).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -74*q**3 - 14*q**2 + 19*q + 16. Let y(g) = -50*g**3 - 10*g**2 + 13*g + 11. What is 5*v(j) - 7*y(j)?\nAnswer: -20*j**3 + 4*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0) + 18\/9. Suppose t = -j*t + 196. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15489?\nAnswer: 3, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7209 and 63.\nAnswer: 50463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19933821334.07 and 0.012.\nAnswer: -19933821334.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13111221 (base 6) to base 8\nAnswer: 1506335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -5*z + 44. Let o = 67 + z. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y + 6300 = 0. Suppose y = 3*l + 2*l. What is l rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 30*k = -855. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.015 >= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -80*k - 70. Calculate the remainder when n(-3) is divided by 67.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 11910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y + 20. Let r = y + 26. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*r = 15*r + 1173 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {u: 3, p: 11, v: 1}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 + -101. Let s = -541\/164 + 2\/41. Is j greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26711794, -26711796, -26711798, -26711800, -26711802, -26711804?\n\"Answer: -2*f - 26711792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*m - 0*m - 44, -4*k + 16 = 0. What is the tens digit of ((-102)\/m)\/((1 - 5)\/40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 103.7577491 - 133417\nAnswer: -133313.2422509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-87)\/(-12) + 2\/(-8). Suppose w + 6 = o. What is the remainder when 50 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suussssusussss. Give prob of sequence su.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.55766 micrometers to nanometers.\nAnswer: 8557.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 4. Suppose 4*b + 1 + 47 = 0. Let a be (-6)\/9*n*b. Calculate the greatest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144470 by -28894.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1576*g + 1523*g + 823*g.\nAnswer: 3922*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13150 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-11) + (-1190)\/11. Let j = v + 288. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2670*q - 60. Let i be x(6). Let n = -8713 + i. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*o - 13 = 3*n + 16 - 23, n = 3*o + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18538 divided by 54\nAnswer: 9269\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 168, -5, 3\/14, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 3:04 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1491 = 2*p - c - 1708, p + 5*c = 147. Solve -p = -6*b - 76 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqcq when four letters picked without replacement from {c: 3, q: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22397*v - 2 + 22399*v + 2.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11481 - 4826. List the prime factors of z.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3*(-290)\/(-60)*-198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*t**5 + 170*t**4 + 580*t**3 - 1320*t**2 - 3200*t - 640 = 0. Calculate t.\nAnswer: -2, -2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 + 4*j - 6*j**3 - 1370*j**2 - 15 + 686*j**2 + 688*j**2 to i*j**2 + c*j + q*j**3 + t*j**4 + k and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2418\/90 + (-4)\/(-30). Suppose -q*j + 21*j + 5730 = 0. What are the prime factors of j?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112\/63*9\/2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1262 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1758, -1759, -1760, -1761, -1762?\nAnswer: -1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 - -345. What is the highest common factor of c and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 248*g - 82592.\nAnswer: 4*(g - 178)*(g + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2056 and 3176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2297 - 2234 - (32 - 2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*t - 83*t + 37*t in the form f + g*t and give g.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22417 is divided by 4465.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 8:25 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(24\/4 - -1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 8*d - 12*d, -7816 = -v - 5*d. Let c = v - 5367. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 4\/30 + 172\/60?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*((sqrt(3) - sqrt(108))*6 - sqrt(24)\/(sqrt(48)\/sqrt(6))).\nAnswer: -310*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1274109081 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1 + 7 - 4 - 6*m - 4. Let k = 7 - 13. Is v(k) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3647*o + 14594. Give s(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*-2*sqrt(121)*-5)\/(1*sqrt(176)*4*3).\nAnswer: -15*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3528 and 576?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 14246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/7 - 1336*y\/7 + 3972\/7.\nAnswer: 4*(y - 331)*(y - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -5, 4\/41 in increasing order.\nAnswer: -5, 4\/41, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 8:58 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x - 5*x + 2*x + 0 + 1. Let s(f) = 3*f + 11. Let n(o) = 2*j(o) + s(o). Suppose -5*q = 3*u + 33, -2*q + 20 - 14 = -2*u. What is n(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-6)\/(-35))\/(((-297)\/(-84))\/(-11))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.35511 to two dps.\nAnswer: 33.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 2*o + 3*o + 2*o - o**2. Suppose 3*p = 15, -3*g - 4*p - 19 = -9*p. Let q(i) = -3*i**3 - 3*i**2 + 3*i. Give g*q(m) - 6*u(m).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a1a6 (base 11) in base 12?\nAnswer: -20951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4111*u**4 + 2597*u**3 + 47604830*u wrt u.\nAnswer: -49332*u**2 + 15582*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0 (b) 0.063 (c) -16 (d) -0.4 (e) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 12*h + 5*j - 45 = 0, j - 4 = 0. Find the third derivative of -11*d**2 + 3*d**5 - 2*d**4 - 76*d**2 - 53*d**2 - h*d**4 - 140*d**2 wrt d.\nAnswer: 180*d**2 - 168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*u = -4*a - 2, a - 4*u = 14. Suppose -a*k + k + 16 = 0. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1015789397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -139229 rounded to the nearest one thousand?\nAnswer: -139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a microsecond in nanoseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.78811797 + -0.08189223. Let u = r - -0.87. What is u rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 - -10493077682.\nAnswer: 10493077697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -44. What is the closest to -1 in -0.1, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.14 or 0.49370051?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (((-476)\/4)\/7)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + f + 1 = 0, -5*h + 2*h + f + 3 = 0. Let u(l) = -7*l**2 - l + 1. What is u(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*q + 10. Let v = q - -2. Solve -w - 12 = v*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3707 - 1198. Suppose -5*n - 5*w + 4165 = 0, 0 = -n + 4*n + w - r. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168*0.03.\nAnswer: -5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - -13. Suppose -3*q = 8*q - w. Suppose -3*b + q*n = -625, 0 = b + 2*n - 5 - 190. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h = 2*l - 8, -4*l = h - 16. Suppose 0 = -0*b + 4*b - l. Solve b - 2 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (39\/(-52))\/(231\/116 - 2). Calculate the highest common factor of 232 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012634 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 39*r - 3*r**2 + r**2.\nAnswer: -3*r**2 - 39*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16678 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28b (base 14) in base 16?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 379 (b) -0.5 (c) 9 (d) 2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 919 = -135*b - 2420 + 1044 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, -0.07, 2\/65, 2\/13, -0.5, -40?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -1\/1519, -3\/43, -5, 2, -0.5?\nAnswer: -1\/1519","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98452*a**4 + 7*a**2 - 27192*a + 4 wrt a?\nAnswer: -1181424*a**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 22879\nAnswer: -45758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 3*j = -2*u - 7, 3 = 3*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 908*r**3 - 1 + 906*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 53291685?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 4, 157, 121, -0.04, -3 in descending order.\nAnswer: 157, 121, 6, 4, 0, -0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -3. Let b = 21 + r. Solve -4*g + 0*g = -b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97275?\nAnswer: 3, 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 6:55 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 34.5. Let t = -15.5 + f. Let h = -1.2 + -5.8. Which is the smallest value? (a) h (b) t (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*v - 65*v - 1969951 = 0. List the prime factors of v.\nAnswer: 173, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 - -2706?\nAnswer: 2644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-25)\/10)\/(2\/(-436)). Let g = -1934 + r. Find the common denominator of 7\/8 and g\/(-432) + (-8)\/(-36).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*x - 10 - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/5 + 36437*g**2\/5 - 31388918*g\/5.\nAnswer: g*(g - 842)*(g + 37279)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -1\/4 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7455413 meters to micrometers.\nAnswer: 745541.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42481 (base 10) to base 4.\nAnswer: 22113301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 651309, 651307, 651305, 651303, 651301, 651299?\n\"Answer: -2*k + 651311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 3*z - 1 = 0, -5*j - 2361*z - 5 = -2364*z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Let g = 3 - y. Suppose -4*a - 4 = 2*p, -5*p - 5*a = -g*a + 5. Solve p = i - 6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, m: 6, e: 1, z: 1, x: 1}. What is prob of sequence hz?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 i, and 1 j when three letters picked without replacement from {y: 2, c: 2, n: 1, i: 5, p: 2, j: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -100?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 2*d + 30, -22*d + 27*d - g + 20 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1117*w + 29786 - 30735 = 37886 + 67280 for w.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbn when three letters picked without replacement from nbnnnnnnnbn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1523*m + 12. Let t = 178 + -179. Is j(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11*l**2 + 697*l - 8774. Give m(-74).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*p**3 - 77\/5*p - p**2 + 441\/5.\nAnswer: (p - 7)**2*(p + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1536 - -1536.01. What is the closest to f in -2\/5, 1\/8, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-8)*(a\/a**(-28))\/a)\/((a*a\/((a**(35\/6)\/a)\/a))\/(a**(-1\/13)\/a)) assuming a is positive.\nAnswer: a**(1697\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r + 924 = -25*r for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 2\/11, 2.1 in descending order.\nAnswer: 5, 3, 2.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/((-12)\/(5*(-66)\/55))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/588 and -43\/36792.\nAnswer: 257544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/825760 and -67\/60.\nAnswer: 2477280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - -11. Let x = 71 + -49. Calculate the highest common divisor of x and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 10*u**2 - 9)*(-4 - 2*u + 4)*(4 - 6 + 1) to the form c*u**3 + a*u**2 + y + x*u and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 11*c - 1 + 5 - c. Is k(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.9 - 25. Suppose -5 = 3*v + f - 20, 4*f - 12 = 0. Suppose -3*x = -v*z + 5, -z + x - 6*x + 7 = 0. What is the nearest to m in -0.1, z, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 22 = -4*y, -3*r - r + 16 = 2*y. Let p(t) = t**2 + y*t + 3 - 4*t - 2. Is p(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3444 + -1319. What is the highest common factor of r and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2217356100\/(-1220) + (3 - 2\/(-1)). What is k rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2392 and 13341679.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 4093 + 3775 = 0. What are the prime factors of n?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 + 59*u - 258. Calculate a(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116\/55 + -16\/5. What is the common denominator of 7\/15 and n?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 107*y - 127. Let w be l(6). Suppose 511*u - w*u + 4 = 0. Let v be 1*0\/(1\/1). Solve -4*g + 5*a + u = v, -4*g - 2*a - 7 = a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 + 71. Suppose -27 + k = 4*q. Let l be 3\/7 + q + 265\/35. Solve -u - 7 + l = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.565 - 0.465. Which is the nearest to -10? (a) 1\/2 (b) 4\/11 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -7*d**3\/6 + d**2\/2 - 12*d. Let f(v) = 2*v**2 + 20*v + 1. Let c be f(-10). What is b(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/((-3)\/108*4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -75142, -75145, -75150, -75157, -75166?\n\"Answer: -m**2 - 75141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 3*s**2. Let m be a(-3). Let u(d) = d**2 - d - 3. Let g be u(m). What is the closest to -0.1 in 2\/9, g, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 - -14?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -18 - -26 - 24\/3. Solve q = j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 112, 83, 54, 25?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 11*h**2 - 14*h - 23. Let d be r(-12). Suppose 0 = -2*k + 2*i - 12, 2*k = 3*i - 17 + 3. Let n be (d - 2)*(k - -4). Which is greater: -4\/9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 + 25*h**2 - 172*h + 1916. Calculate p(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5643)\/(-44))\/((-14)\/8 + 2). Suppose 3*l = -b + 2*l + z, -2*l + 517 = b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/30)\/((-4)\/(-60))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 23 - 25 = 0. Let y(n) = 16*n. Calculate y(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6\/7 (b) -0.07786 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12155814 or 12155824?\nAnswer: 12155814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1249551\/291557 - 3\/41651. Factor -2\/7*o**4 + 0 - 18\/7*o - 2*o**3 - x*o**2.\nAnswer: -2*o*(o + 1)*(o + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5599 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (486\/72*-3 - (27 - 32))\/((-1)\/4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 842*j. Let o(g) be the second derivative of -5*g**3\/6 - 2152*g - 1. Give o(n(a)).\nAnswer: -4210*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + ((-2 - -1) + 2 + 118 - (-4055 - -4049))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0 (c) -20\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 k, and 1 l when three letters picked without replacement from {r: 7, o: 7, k: 3, l: 2}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1225399*k**2 + 1225399*k**2 - 13*k - 24*k**3)*(k - k - k**2).\nAnswer: 24*k**5 + 13*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 545 + -44544?\nAnswer: -43555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/4)*v**(-4))**(-30) assuming v is positive.\nAnswer: v**(285\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14578494 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1770, -6622, -14694, -25992, -40522?\nAnswer: -58290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. What are the prime factors of 9\/(2 + p\/(-2))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/10? (a) 0 (b) 0.16 (c) -1069\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42803658 + 7?\nAnswer: 42803666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)\/(w*w**(-7)))\/(w**4)**(-33) assuming w is positive.\nAnswer: w**129","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -14. Is -6*(-3 + 2\/a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/3*1805952\/(-256) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9082026ug in tonnes?\nAnswer: 0.0000000000009082026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*g + 529*g - 498904908. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12073697 is divided by 1097608?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 414\/(-92)*16\/(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -15.654955.\nAnswer: 31.30991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11010311 - -11?\nAnswer: -11010300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Suppose -a*n = -n. Suppose n = 4*i + i - 180. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/11 + 9891*g\/11 - 29664\/11.\nAnswer: -(g - 9888)*(g - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 2*u - 14, -5*u - 27*h + 26*h - 19 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) - (-736)\/115. Let d be 24\/(-108) + 29\/9. Suppose 2*u = d*g + 4, -4*g = -0*g - 3*u + s. Solve 10*j - 5*j = g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -1, -1.6 in descending order.\nAnswer: -0.06, -1, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1746 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4*a + 72, 2*t - t + 3*a - 10 = 0. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 + 2 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 396*s**2 - 1690*s.\nAnswer: 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88 + -2600716344.\nAnswer: -2600716432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*z = 86, 0*s - 5*z = 3*s - 124. What is the remainder when s is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-5))\/(4\/(-20)). Let p be (h\/9)\/(4\/(-18)). Determine r, given that r**2 + 4*r**3 - 6*r**3 - p + 3 + r**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -317, -630, -943, -1256, -1569?\n\"Answer: -313*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -59, -3\/8, 40\/17 in ascending order.\nAnswer: -59, -3\/8, 2\/3, 40\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y**3\/5 + 244*y**2\/5 - 128*y\/5 - 124\/5 = 0. What is y?\nAnswer: -31, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -21860 to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138564081.\nAnswer: 3, 1153, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36752099, 73504199, 110256297, 147008393?\n\"Answer: -i**2 + 36752103*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -61*z**2 - 188*z + 956. Calculate g(5).\nAnswer: -1509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -11*v. Suppose 3*i - i - 38 = 0. Suppose 14*n + 2*n - 304 = 0. Let y(a) = n + a - i. Calculate y(x(o)).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1454800 - 8?\nAnswer: -1454808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*f**3 - 7*f**2 + 110.\nAnswer: 24*f**2 - 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 0*k + k**3 - k**2 + k + 5*k**2. Give v(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1134647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(-5*(sqrt(11) + sqrt(275))))**2.\nAnswer: 1\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*o - 665*o = 434*o + 25872 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 26846.3+43\nAnswer: 26889.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*c = 49*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/(-80) + 3\/(-5). Suppose -s + 0*s - 2 = p. Is s*((-606)\/4 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oh when two letters picked without replacement from {y: 2, h: 1, w: 1, r: 2, b: 3, o: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*c + 2 = 2*a, 3*c + 13 = 2*a. Let i(n) = -4*n**2 + n**2 + a*n**2 + 8. What is the units digit of i(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (3 + 0)) + (-1 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, u: 1, m: 5, z: 8, w: 2, q: 2}. Give prob of picking 1 u and 1 m.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(612)*-1 + sqrt(612)) + 5)*-4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -710 + 713. Suppose 13*k - 10 = 10*k + 2*b, -y*k = -b - 14. Solve 0 = x + w - 2, k*w + 5 = w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*t**3 + 313*t**2 - 348*t - 938169.\nAnswer: 6*t**2 + 626*t - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*z + 16, -3*z - 2*z + 3*d + 40 = 0. Suppose 3*c = -c + z. Let g = 14 + -13. Which is smaller: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 - 13316*j\/3 - 146234\/3.\nAnswer: -2*(j + 11)*(j + 6647)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, 2\/41, -1, 21, 0.1?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 1:49 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 (base 12) in base 3?\nAnswer: 1102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2626564904 and -1.27725.\nAnswer: -2626564905.27725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 83472 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (22\/4)\/((-5)\/(-100)). Suppose -79 = -p + h. What is the highest common factor of p and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37585 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90495 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5995*w + 5974*w - 1113 = 0 for w.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/3)*c*c**(3\/2)*c)\/(c*c**(2\/7))**(-3))**(-41\/5) assuming c is positive.\nAnswer: c**(-2419\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + h + 4*h + h - 4*h + 0 - h + 0 + (-5 - h + 5)*(-2 + 0 + 0) - 1 + 2*h + 1 + 4*h - 4*h - 2*h)*(3*h - h - h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 510 = 5*q, 4*z + 91 = 5*q - 417. Let a = q - -2. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -133007 or -132972?\nAnswer: -132972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/5, -3.3, 69, -3?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -3*j**5\/5 + 3*j**4\/2 + 5*j**3 - 9*j**2 + 176. Let a(p) = 0. What is p?\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 379, 681, 1171, 1843, 2691, 3709?\n\"Answer: -r**3 + 100*r**2 + 9*r + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -701*i**6\/120 - i**4\/12 - 389*i**3\/6 - 2*i**2 + 131*i. Find the second derivative of k(w) wrt w.\nAnswer: -4206*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12279152?\nAnswer: 2, 89, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(220)\/sqrt(4))\/sqrt(5) - (sqrt(275) + -3)**2 - ((-5*sqrt(11)*3)**2 + -5 + -4)).\nAnswer: -2753 + 31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.013, -2\/17, -1\/2, 5, 2\/7 in descending order.\nAnswer: 5, 2\/7, 0.013, -2\/17, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 - -89. Suppose -3*n + 4*k = -69, 3*k = 2*n - 4 - 42. Is x <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 0.15.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-9)*22\/(-44)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*b - 1 + 1. What is the third derivative of k**2 - 20*k**2 + 2*k**3 + b*k**3 wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 85.0217 decades?\nAnswer: 850.217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 210*u**4 - 24*u + 3.\nAnswer: 2520*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13) + 5*sqrt(52)).\nAnswer: -22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44088, 88171, 132264, 176373, 220504, 264663?\nAnswer: 308856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -1584*u - 35. List the prime factors of y(-1).\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 70 + -3?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -226500 (base 10) to base 13.\nAnswer: -7c131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 1122.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 14475492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (-36 - -1))*5. Suppose 0 = c - 2*c + q. Suppose -c = -2*d - 3*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from gzgtttzggtgtzettzz?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 477, 902, 1231, 1464, 1601?\n\"Answer: -48*t**2 + 569*t - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 2*o**2 - 6*o - 7. Let b be a(-3). Let q = b - 1. Suppose 11 = 4*t + m, -5*t = 3*m - 6 - 13. Calculate the least common multiple of q and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-50)\/(-30)*3 - 420\/2. Let u = a - -215. Solve -3*b = 7*b + u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-6 - -1 - -4). Solve u = -5*v + 5, -4*v = -0*f - 3*f - 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9977550 divided by 18141\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 592.42 - 570. Let a = r + -17.825. Let y = a - 4.7. Round y to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1987624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x + 3. Let h(c) = 142*c. Give s(h(y)).\nAnswer: 284*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.6 - 0.4. Let u(j) = -j**2 + 3*j + 5. Let i be u(4). Put 0.3, d, i in decreasing order.\nAnswer: i, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-84)*(-276)\/345?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 3 + 150\/20. Which is the nearest to -9\/2? (a) 3 (b) g (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 20222010022120?\nAnswer: 20222010022122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3321*g + 1674*g - 1 + 1049*g as i*g + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43596.31l in millilitres?\nAnswer: 43596310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 21, -0.2, 0.1924, 3?\nAnswer: 0.1924","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-3\/4))**(-2\/51) assuming h is positive.\nAnswer: h**(-7\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.3 (b) 2.3 (c) 1.8 (d) -306 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 16*y + 7. Let j be c(9). Let r = 92 - j. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = -2*u + 186. Solve -2*b + u = 2*o, 3*o + 2*b = 5*b + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/4 and -19\/1124?\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1060*u**2 + 56971 - 56971)*(-2*u**3 + 2*u**3 + 2*u**3).\nAnswer: -2120*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -25*f - 367. What is m(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -755 - -754.7. What is the closest to 0.18 in -3, 1\/3, -2\/3, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011011111011110011 (base 2) to base 9.\nAnswer: 2611827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -122791 divided by 3961?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 4690, -4.\nAnswer: -4, 43, 4690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - -1 - (-20)\/16. Let g = v - 0. Find the common denominator of 87\/14 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1309 = 5*d + 439. Suppose -5*y - 154 = 4*l, 4*l - 4*y + d = y. Let u = -41 - l. Solve u*j = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*s + 1089 = 3*s, 3*s = f - 223. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*g = -23, 0*q - 14 = -2*q - 4*g. Solve 16 + q = -5*k - 2*x, -4 = -2*k + 2*x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201220020 (base 3) in base 15?\nAnswer: 10e66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*c + 4, y = -c + 2*c - 1. Suppose 2*m - 2*i - 2 = -y, -4*m = 3*i - 4. Put m, 21, 5 in decreasing order.\nAnswer: 21, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -62. Suppose -50 = -0*i + i + 5*r, 2*i - 5*r + j = 0. Let a be 20\/275*i\/(-4). Which is bigger: 2\/3 or a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100576*z**4 - 75157*z**2?\nAnswer: 2413824*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1356 - 162 = -4*p - 3*i, -3*i + 1140 = 3*p. Suppose 3*d + 0*c - p = 2*c, 2*d = 3*c + 252. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 45*g - 55*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5 + 3 + 7 - 5*l. Let x = 14 - 10. Let k(v) = 4 - 2*v + 2 - 4*v. What is x*k(y) - 5*r(y)?\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h + 7. Let j(r) = -r - 4. Let t be j(4). Let c be x(t). Is 0\/5 + 0 + c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(1\/4)\/m*m**(4\/3))\/((m*m\/m**(-1)*m)\/(m*m**(1\/4))))**34 assuming m is positive.\nAnswer: m**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 + -155.8?\nAnswer: -156.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.4, 3\/7, -2\/19, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1038 and 413988654?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*f - 14*f + 1598. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02966376289175 plus 45?\nAnswer: 44.97033623710825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.07, 3, -4, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (19 - -25 - 15) + 14 + 2 + -1 + -2\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -584*x**4 + 11*x**3 - 2715*x**2 - 1127509462 wrt x.\nAnswer: -2336*x**3 + 33*x**2 - 5430*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -66526*o + 66530*o + 6*m, 5*m = 3*o + 3 - 16 - 13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**3 - 7*y**2 - 4*y + 5. Let x(g) = -2*g**3 - 4*g**2 - 3*g + 2. What is -4*s(i) + 7*x(i)?\nAnswer: 6*i**3 - 5*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)*u)**(-1\/33)*(u\/(u**(-2\/9)\/u))**(-2\/167) assuming u is positive.\nAnswer: u**(61\/16533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -2\/15*v**3 + v**2 + 0 + 0*v - 1\/150*v**5 + 1\/20*v**4. Find a, given that i(a) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a + 33. Let p be t(-2). Suppose -13727 - 14632 = -p*j. What are the prime factors of j?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1429\/310 - 164\/31. Let i = 33441\/10 + -3340. Calculate the common denominator of i and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 176 + -188 + (2 - -13) + 1*-28. Let g(h) = h**2 + 23*h - 21. Give g(k).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = -4*n + 25*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -451403, -902806, -1354209?\nAnswer: -1805612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2 - 2*w + 2. Let t(b) be the second derivative of -55*b**4\/6 + 15*b**3\/2 - 45*b**2\/2 - 9*b + 1. Calculate -45*l(g) - 2*t(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 8*v**5\/13 - 1032*v**4\/13 + 3050*v**3\/13 - 3288*v**2\/13 + 1514*v\/13 - 252\/13 = 0.\nAnswer: 1\/2, 1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + (17 - 31 - -49)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, k: 11, u: 3, o: 1}. Give prob of picking 1 z and 1 o.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/(-4)*(-96)\/(-24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 9 + 11. Let w = x + 17. Calculate the least common multiple of 5 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 75, 4, -2, -2\/41, -2\/5?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*q - 75 = -a, -5*a + q = -59. Suppose a*l - 108 - 1014 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -1. Factor 2*r**5 + 4*r - 6*r**2 + 9*r**4 - 4*r + 2*r**3 - x*r - 3*r**4.\nAnswer: 2*r*(r - 1)*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -14 + 2\/2. Calculate the common denominator of (-1)\/x - 0\/(-4) and ((-896)\/48 - -19)*213\/(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 plus -26?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 11 + 4 = 0. Let w = -1 + q. Let n be (1\/w*0)\/1. Solve 2*g - 6 = -n*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -10. Let q = h + -3. Which is the second smallest value? (a) -2 (b) q (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42693253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 9:49 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 + 6*v**4 - 183*v**3 - 380*v**2 - 192*v.\nAnswer: v*(v - 12)*(v + 1)**2*(v + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.135 in -0.04, -918, -4, -0.2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-542)\/4*-53 - (-2)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*t = 34 - 33, 3*g = t + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 206*x**2 - 25*x. Let s(u) = 218*u + 2. Determine t(s(z)).\nAnswer: 9789944*z**2 + 174182*z + 774","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 24 = 4*x. Which is smaller: 12\/5 or x?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46374.51 nanometers to kilometers.\nAnswer: 0.00000004637451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w - 17*w = -3332. Calculate the remainder when 2854 is divided by w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 72*m**2 - 12. Let h be b(3). Let p be ((-1)\/3)\/(-4 + 2540\/h). Suppose 52*w - p*w + 18 = 0. Solve 3*s + w = f, -5*s + 5*f = 14 + 26 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 + 84 = 18*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/4, -8, -2, -2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + (sqrt(39)\/sqrt(3) + 0 - (sqrt(13) + -4*sqrt(13)*3)) + -5)**2.\nAnswer: -168*sqrt(13) + 1921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 101111001?\nAnswer: 101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 11. Let c be a(10). Let g(n) = 113*n**3 + n. Let d be g(c). Suppose -x + 151 + d = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*s - 13 = 137, -5*p + 186 = 3*s. Suppose -5*r - r = -p. What is the remainder when 22 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 6*q - 5 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*w - 223*w + 68 + 73*w + 67*w.\nAnswer: -8*w + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 3 (b) 37 (c) 3\/4 (d) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5823 at most as big as -5894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-7))\/(98\/343)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22015\/11 or -2002?\nAnswer: -22015\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8883 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -29. Suppose -4*u + 28 = -g. Calculate the remainder when 33 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 0.06 (b) -1\/5 (c) -0.1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5383\/5 != -1077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-272)\/(-14) - ((-36)\/14 + 2). Suppose -6*q + 10 = -s. Let j(o) = -2*o + 23. Let w be j(q). Solve 5*m = -4*d + 15, w = -3*m - 5*d + 35 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2178)\/(-198) - (0 - -50).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b - 12479 + 12911. Solve 0 = 72*g - 81*g - b for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*b + 18, b - 10 = -4*d + 3*b. Let f = 22 + -21. Solve 7 = -d*k + f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5681981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3400, 27178, 91728, 217438, 424696, 733890, 1165408, 1739638?\nAnswer: 2476968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -2 - -2) + 3. Suppose d*a = 29 - 9. Suppose 3*c = -a*o - 0 - 6, -c - 10 = 4*o. Solve 5*y - 16 = -g, -g + 3*y + c*y = 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 11*n**2 + 12*n - 14. Let q be u(10). Suppose -68 = 2*g - q*g. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*n + 53*n = 50*n + 440 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-12)*(-60)\/(-18). Let l = 5\/4 - u. Which is greater: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 9*f**2 + f + 11. Let q be r(-9). Factor -12*v**3 - q*v**4 + 6*v**2 - 4*v**2 + 357*v - 345*v.\nAnswer: -2*v*(v - 1)*(v + 1)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*k**3*n + 2047774*k**3 - 7*k**2*n + k*n + 3030*n - 1 wrt n.\nAnswer: -4*k**3 - 7*k**2 + k + 3030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 273220 rounded to the nearest one thousand?\nAnswer: 273000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.148444 rounded to 3 decimal places?\nAnswer: 0.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 51, 65, 95, 147, 227, 341?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+59.751\nAnswer: 59.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -890*l**3 + 12*l + 10*l**2 - 13*l**2 - 22 + 9*l - 25*l wrt l?\nAnswer: -5340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166898749.\nAnswer: 37, 53, 85109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 882205 and 172645.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 19. Let j be ((-3)\/(-6) + 1)*i. Suppose q = 6*q - j. Solve 1 = 4*c - q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 11 = k, -k + 5 = 3*o - 0*k. Suppose 26 = o*i + 2. What is the smallest common multiple of i and 102?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11200 + -1?\nAnswer: -11201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2699322469 to the nearest integer?\nAnswer: 1392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 2*h + 4. Let c(q) = -4*q. Let k be c(-2). Let u = 11 - k. Is a(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3151614 by -525269.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 109101444 divided by -6417732\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 10:21 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6721617, 13443282, 20164945, 26886606, 33608265, 40329922, 47051577?\n\"Answer: -t**2 + 6721668*t - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 32*i + 162. Let d = 2 + -1. Calculate the remainder when a(-5) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(1\/9))\/l**7)**(5\/12)\/(((l*l**(3\/7))\/l)\/(l**7*l))**(-2\/11) assuming l is positive.\nAnswer: l**(-7097\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 3)*(-109*d**3 - 336*d**3 - 206*d**3)*(-d - d + d) to r*d**4 + z*d**2 + m*d**3 + h + f*d and give r.\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhpp when four letters picked without replacement from {p: 8, h: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 901 and 1032970.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 24 + 14 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 3:07 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4238.8 to the nearest 10.\nAnswer: -4240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**3 - 6*f**2 - 15*f - 6. Let m(b) = 2*b**3 - 3*b**2 - 7*b - 3. Let r(c) = -4*a(c) + 9*m(c). Give r(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974267.3 months in decades?\nAnswer: 16452.2275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 35*i**2 + 18*i - 10. Let y(f) = -70*f**2 - 37*f + 21. Let m(v) = 5*g(v) + 2*y(v). Let a = -8714 + 8721. Is m(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-960))\/(6\/96)*1\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -4 + 7 - (-1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v**2 + 2*v**2 + 3*v**2)*(-v - 2*v + 5*v + (3 - 3 - 1)*(v - 5*v - 4*v)).\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -75\/2*o + 6*o**4 + 0 + 1\/2*o**5 + 21*o**3 + 10*o**2 = 0.\nAnswer: -5, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*s + 346901 = 311951 for s.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 10. Let a be k(7). Let j be (-2)\/(-4) - (-4)\/(-8). Solve -3 = -j*q - a*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 19*s**2 + 467*s + 294. Let p(k) = -28*k**2 - 700*k - 440. Let j(i) = -5*p(i) - 8*w(i). Let j(n) = 0. What is n?\nAnswer: -19, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133 or -193697?\nAnswer: -193697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 8 - (15 + -15) - (83 + -87)) + -11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - x + 53. Let t = -36 + 28. Let u be s(t). Sort u, -1, 4 in increasing order.\nAnswer: u, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 281.8245l?\nAnswer: 281824.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2197 = -47*a - 999. Let z = a - -109. Suppose 3*j = 7*i - 2*i - 51, 5*i = -j + 43. What is the remainder when z is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2003\/644040 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -6644?\nAnswer: -6642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10 = 0, 0 = -2*g + g - 5*f + 46. Suppose -5*n = -136 + g. Let k = n + -9. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368803 a multiple of 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -0.8. Let x be 0 + 0 + 4 + -8. Let j be (-56)\/12*6\/x. Which is the smallest value? (a) 3 (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -34*m**2 + 23*m - 88. Calculate i(4).\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 17. Let x be t(0). Suppose -x*s - 6 = -20*s. Solve -s*v = -2 - 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c - 28*c + 9 = -5*g, 5*c + 4*g = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 3400*p**2 - 91280*p.\nAnswer: -5*p*(p - 652)*(p - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19206.04 and -0.2.\nAnswer: -19206.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 3*a + 5344, -815 = -4*c + a + 4513. Let d = 575867\/432 - c. Let w = d + -857\/432. Find the common denominator of w and -26\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 4) in base 2?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) -1\/4 (b) 3 (c) 8.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-222834)\/45*(-8)\/4. Let g = x - 9908. Find the common denominator of g and 68\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(7)*-1 - (-3*sqrt(28))\/sqrt(4).\nAnswer: -5 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**4\/7 - 98913*n**3\/7 + 679023*n**2 - 7428561*n + 23575566 = 0?\nAnswer: -33019, 7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1237739.03 to the nearest one hundred.\nAnswer: 1237700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 + 7*n**2 + 99*n + 632. Calculate s(-6).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -18 and -4540\/259 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 bigger than 215\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**19*c)**(-20))**(-3\/2) assuming c is positive.\nAnswer: c**600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -310 - -328. Suppose -12*a = -6*a + c. Put a, 29, 3 in decreasing order.\nAnswer: 29, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(sqrt(891) + sqrt(891) + 1) - ((1 + sqrt(891))*-6 + sqrt(891)))**2.\nAnswer: -44552 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*f - 3 = 6*f, 4*f = -2*a - 6. Let j = -2013\/5 + 155041\/385. Let o = 295\/616 - j. Which is greater: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168 + 22*h**3 - 168)*(11 + 2*h - 8 + 0*h).\nAnswer: 44*h**4 + 66*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 197*r + 100 = 103*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/14 of a week?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5)*-9)\/(6\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84650943?\nAnswer: 3, 13, 2170537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*w, -2*o - 5*w - 7 - 18 = 0. Solve o*d**2 + 0 - 2\/5*d**3 + 0*d = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26803216 to the power of 1\/2, to the nearest integer?\nAnswer: 5177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 86. Which is the smallest value? (a) 4 (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, -16, -24, -32?\n\"Answer: -8*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 131747 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 667400047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/2 of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + q = -3*q + 15, 0 = -2*y + 4*q + 30. Let b(a) = a**2 - 8*a - 5. Let d be b(y). Suppose i - 1115 = -d*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(2 + (-1 + sqrt(76))*-2 + (sqrt(76)*1*3 - (1*(sqrt(76) + (sqrt(76) - -1*sqrt(76))) + sqrt(76)))) + 2)*-6)**2.\nAnswer: -864*sqrt(19) + 24768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 8:56 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b**2 + 11882*b - 1422600. Give i(128).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77201.77 litres to millilitres.\nAnswer: 77201770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 501*l**2 + 1013*l**2 + l - 510*l**2 - 4*l**3 + 0*l to the form q + r*l**3 + c*l**2 + i*l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514173 is divided by 655.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 0.3 (b) -78 (c) -130 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3426\/11? (a) 67.5 (b) -4\/7 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/5 - (1 + -2 - 1). Suppose j = 3*w - 5*i + 4, w - 6*w + 6 = -2*i. What is the highest common factor of 5 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-6 + -22 + 10)) + 7 + (-2 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00608899 to 5 dps.\nAnswer: -0.00609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0334 and 0.25?\nAnswer: -0.00835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 70960 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyuytyyycxyycyyygct. What is prob of picking 2 t?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 5 + 2\/2. Let f be (-12)\/18 - 16\/(-6). Suppose -f*l = 3*d - 0*d - q, -48 = -5*l + 2*d. What is the remainder when 30 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/17268 and -89\/30219.\nAnswer: 120876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 + 63*h**3 + 3450*h**2.\nAnswer: -3*h**2*(h - 46)*(h + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-10\/9)\/(r**1*r) assuming r is positive.\nAnswer: r**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -56795145255 and 142.\nAnswer: -56795145113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8\/2 - (-29)\/(-6)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.031? (a) 0.01 (b) -5 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(2*3\/(-12)). Let h = j - 10. What is the remainder when 62 is divided by 2 - h\/(-2) - -19?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + b - 11. What is the smallest common multiple of p(-5) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 933*y + 45203 = 31139 - 45630 - 11214 for y.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2413, -5, -29, -2, -1, -9 in decreasing order.\nAnswer: -1, -2, -5, -9, -29, -2413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zaarzabragbazgbaaz. Give prob of sequence zgab.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yroirnnrr. What is prob of sequence nyo?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from qwwqwwwwwwwwqwwwwwq?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 1\/3, -137, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 1554*d - 16 + 43 - 17 in the form c + s*d and give s.\nAnswer: -1554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108 or -1\/169401?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3183880 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 - 87. Let v = 16 + q. What is the highest common divisor of 64 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66274?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from jzzzzjjzzzzzjzjz?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 19 = -17 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 at least as big as 324.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 306\/81 + 4\/18. Suppose 0 = -l - 0 + r. Solve -2*g + 10 = 0, -21 = -l*p + 4*g - 9*g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/6 + (-41)\/(-2). Suppose -57 = -2*c - k. Let p = 2 + 14. Solve -4*j + 2*d - p = 0, -5*d = -j + 2*j - c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -8, -8\/267?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.029, 0.2, 5, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.17 (b) -2 (c) 117760 (d) 1 (e) 0.4 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 3*p. Let m be 0 - (-4 - 2*(-6)\/12). Let o(v) = v**3 + 2*v. Calculate m*o(a) - 2*h(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1887)\/(-333)*9\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 88 = -5*z + 2*c, -2*z - 41 = c. Let o(j) = -j - 22. Let a be o(z). What is the tens digit of (-1 - a)\/((-2)\/(-58))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*g - 50 - 9, 45 = 3*g + 3*r. Let q = g + -20. Let v(x) = -26*x**2 - 10*x + 16. Let w(l) = 5*l**2 + 2*l - 3. Determine q*v(m) - 16*w(m).\nAnswer: -2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -0*n + n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 25352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23672 + -165701\/7. Let v be (-3)\/(-2)*(-2)\/(-7). Factor -3\/7*m**3 + l*m**2 + v*m - 3\/7.\nAnswer: -3*(m - 1)**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - h + 2. Let l(d) = d**2 - 2. Let v(w) = 6*b(w) + 7*l(w). Give v(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 16 - 2*o - 2 + 30 + o**2 to the form d + y*o + g*o**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, -3, -15, 0 in decreasing order.\nAnswer: 5, 0, -3, -13, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 51*l**3 - 4*l**2 + 6*l + 2. Let w be q(2). Let x = -125 + w. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.32 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**3\/7 + 10*d**2\/7 - 208*d\/7 = 0.\nAnswer: -13, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 25*b - 5. Let c be i(-25). Put -0.1, 4, c in decreasing order.\nAnswer: 4, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-15)\/(-18)*(-9)\/15.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -6. Let x(o) = o - 4. Let m be x(c). Does -1\/7 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20970296 is divided by 95.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2. Let k(j) be the second derivative of -4*j - 2*j**2 - 1\/2*j**3 - 17. Calculate r(k(d)).\nAnswer: -18*d**2 - 48*d - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7266 = -1072*f - 5598 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 290*y - 10162*y - 997072 for y.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbbyy. Give prob of picking 1 y and 2 b.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w - 3, 0 = 4*b - 3*w - 45. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/14*(-8)\/6)\/2. Let i(t) be the second derivative of -b*t**3 - t - 1\/2*t**2 + 0. Calculate i(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 390, -4.54, 4, 2\/5 in descending order.\nAnswer: 390, 4, 2\/5, -4.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1197*r + 224*r + 1346*r + 2084*r.\nAnswer: 4851*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 59, 47, -2\/23?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22514348 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4359 is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 37. Let j = 16 + -10. Let s = 20 - j. Calculate the highest common factor of f and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(69584*f**2 - 807*f**3 - 69584*f**2).\nAnswer: 807*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 u when three letters picked without replacement from llluululullulllull.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/240 + 7*u**4\/48 - 17*u**3\/8 - 73*u**2. Factor n(b).\nAnswer: (b - 3)*(b + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(486) + sqrt(6))\/sqrt(3) + -5 + sqrt(16)\/sqrt(8)).\nAnswer: -30 + 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -21, -1130?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*w**2 + 32*w**2 - 80*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 271 = 3*k + 7*a, 3*a + 461 = 5*k. Find the third derivative of s**3 + 6*s**6 - 91*s**5 + k*s**5 + 26*s**2 wrt s.\nAnswer: 720*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 7. Let w(z) = 26*z**2 - 1. Let a be w(-1). Suppose 0 = 4*g + g - a. Let c be l(g). Solve -5*n + h + 7 = -c*n, 0 = 4*n - 5*h - 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-1) + 22\/(-2). Let l(z) = -z**3 - 10*z**2 - 8*z + 3. Give l(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 45175064?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 236 + -233. Solve 0 = -x - n*x - 16, -t = -3*x - 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 945 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a minute in seconds?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 7. Suppose 5*c = 5*m - 65, a*m + 5*c - 25 = -3*m. Is 8 a factor of 123\/m + (-6)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-12))\/(l*l**(-4)*l)*l**(-1\/2)*l**(-2\/5)*l assuming l is positive.\nAnswer: l**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + (1 + sqrt(11))**2 - 5*(sqrt(1331) + 2)**2.\nAnswer: -6665 - 218*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002543364 rounded to six decimal places?\nAnswer: -0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(-36*f**2 - 25*f**2 + 22*f**2) + f**2 - f**2 - 2*f**2)*(3*f**3 - 3 + 3).\nAnswer: -240*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 200586839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*j**3 + j**3 - 1253*j**3.\nAnswer: -1112*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q - 6032*q**2 - 10*q + 15204*q**2 - 3122*q**2 - 6038*q**2.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -688980 + 9645663\/14. Find the common denominator of 45*2\/(-55)*-3 and b.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 524941112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/8 in 2, 2\/7, -0.0562?\nAnswer: -0.0562","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -2450332?\nAnswer: 2450325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 126609 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 + 10*g**3 - 8*g**2 + 0*g**2.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 9. Let s = 59.2 - 64.3. Let l = s - -4.9. Which is the nearest to l? (a) 1\/4 (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 51?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**2 + 1\/30*p**5 + 1\/24*p**4 + 0 + 0*p**3 + 1\/120*p**6 + 3*p. Let w(b) be the first derivative of a(b). Factor w(k).\nAnswer: k*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -55. Suppose s - w*u + 5 = 0, -5*s = 4*u + 6 - 51. What is the units digit of 4 - (s - 31) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*w - 8, n = w - 3*n + 11. Which is greater: w or -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(3 - 2)*453\/(-6). Solve -123 = 7*u - i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 342 + -2384\/7. Which is the closest to -2? (a) t (b) 0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2040.7345877 - 3813.\nAnswer: -1772.2654123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 + 735*n + 42336. Determine a(-93).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 14427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28, 70, 134, 226, 352, 518, 730, 994?\n\"Answer: d**3 + 5*d**2 + 20*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2*a. Let b = 0 + a. Suppose b = -2*l + 10. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -164 - -92. Is 43 a factor of (8\/(-6))\/(1\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 6478141 and 2515.5.\nAnswer: 6480656.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 8) to base 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x**4\/19 - 14*x**3\/19 - 86*x**2\/19 + 126*x\/19 - 36\/19 = 0. Calculate x.\nAnswer: -3, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177181?\nAnswer: 163, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/7*i**2 + 12\/7*i**3 + 12\/7*i + 3\/7 + 3\/7*i**4.\nAnswer: 3*(i + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2223, 2233, 2257, 2301, 2371, 2473, 2613?\nAnswer: 2797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197602 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h*h**(-3\/8)\/h)**(2\/23)*(h*h*h*h**(2\/5)\/h)**(-28)\/((h**3*h)\/h**(-2)) assuming h is positive.\nAnswer: h**(-33687\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1120?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 4*t - 16 = -4*y, 2*t = 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 k, and 1 e when four letters picked without replacement from {e: 2, m: 1, a: 2, x: 2, c: 3, k: 4}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -7*z - 12. Suppose 5*d - z*d = -61. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, 1, 9, -5 in ascending order.\nAnswer: -5, -3, 1, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.2 and 0.11.\nAnswer: 0.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 1)*(-c + 4 - 3 + 2) + (5*c + c + c)*(-2 - 1 + 5) in the form m + i*c and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)\/k**(11\/4))\/(k**(1\/31)*(((k\/k**(-4\/17))\/k)\/k*k)\/k) assuming k is positive.\nAnswer: k**(-10577\/2108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 835361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(12\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*u**5 + 5*u**2 + 63*u - 1 wrt u.\nAnswer: -100*u**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*l = 3*t + 10, -2*l = 5*t + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 603 + -606. Sort n, -2, 2, 1 in increasing order.\nAnswer: n, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 84 = 3*u + 4*z, -u - 2*z - 29 = 0. Let d be (-6)\/(-27) - (-60)\/u. Suppose -o + 3 = -1. What is the smallest value in d, -2\/3, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/15, -2, 1, 0.4, -0.13, 102, -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 69 = -5*k + 7*b, 59 = 4*k - 3*b. Solve -14*c = -11*c + 3*t + 12, -k = 3*c + 5*t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(363)\/sqrt(44))\/(-3*sqrt(18)\/sqrt(6)*-4))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2634*-15.7959.\nAnswer: -41606.4006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 39.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 3:58 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220866 is divided by 44168.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1029405 and 1299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**3\/6 + a**2\/2 + 45*a. Let p(q) = -q + 1. Give -p(j) + 2*s(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3956 at most 2190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*j + 17172 = 148*j - 136*j for j.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (-1 + sqrt(147)) - (sqrt(108) + 0)) + 4.\nAnswer: -6*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -37. Let z(v) = -17*v - 50 + 7*v + 8. Is z(q) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-1 - (-3 - (2 + -5)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 129, 142, 155, 168, 181, 194?\n\"Answer: 13*v + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 149 and -29 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 137 = -5*r - 32, 0 = -5*p. Let j be (0 - 3)\/(2\/(56\/r)). Let c = -69 - j. Is c less than or equal to -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-2))\/36)\/((-1)\/2)*(-402)\/(-335)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1976 divided by 10699?\nAnswer: -152\/823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -76c2e - -19?\nAnswer: -76c15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-1 - -30 - 20 - (1 + 11))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -0.2, -4, -0.3 in ascending order.\nAnswer: -16, -4, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/2 and (-1)\/(72\/(-10))*2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -71*l + 100. Let i(z) = -4*z**2. Calculate i(t(n)).\nAnswer: -20164*n**2 + 56800*n - 40000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 7*a - 3*a + 36 = 0, 2*x + 26 = -4*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/6210 and 67\/1035?\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 8. Let k be z(10). Let g(w) = 35*w - 1. Let f(d) = -104*d + 4. Let n(y) = k*f(y) - 7*g(y). Is 12 a factor of n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 0 = -18. Is 6 a factor of (1\/g)\/((-24)\/(-8448))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k + k**2 + 4*k + 2 - 2 - 5. Give b(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((-1 + sqrt(684))*-2 - (-5 + -2*sqrt(684) + sqrt(684)))*6)**2 + 0 + (0 + sqrt(684) + 2)**2 + (1 + sqrt(684))**2*5.\nAnswer: -2940*sqrt(19) + 30503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1718 - -42944\/25. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 145 + 0?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20 + 0)*(-27)\/15. Calculate the highest common factor of t and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -552\/5 > -111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*t + 38*t + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(20)\/(sqrt(490)*3)*4 + ((2*sqrt(882) + sqrt(882))\/((sqrt(126)\/sqrt(2))\/sqrt(7)))**2).\nAnswer: 4*sqrt(2)\/21 + 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/(-63)*(-7)\/2. Let g(i) = 3*i**3 - 6*i**2 + 6*i. Let r be g(d). Calculate the greatest common factor of 42 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-5)*(-2533 + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 3. Let f(n) = -5*n - 5. Suppose l = -0*l - r + 6, -2*r = -l + 3. Let u(q) = l*i(q) - 3*f(q). Is u(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - 4*q**3 - 9*q**3.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**4\/21 - 8*p**3\/21 - 6*p**2\/7 - 5*p + 10. Let a(f) be the first derivative of c(f). Factor a(q).\nAnswer: -4*(q + 1)*(q + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ac51c (base 14) to base 6.\nAnswer: -12543342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 239\/29 equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 91*l**2 + 5*l + 461. Determine c(-91).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/5213004 and -131\/5550.\nAnswer: 130325100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -119\/4? (a) -2\/5 (b) 0.87 (c) 282\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -13, 5, 12 in descending order.\nAnswer: 12, 5, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000107467882 to 7 decimal places.\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -13. Suppose -2*s + n + 2 = 5*d, -2*d = -3*s + 20. Let m be 2 + ((-40)\/84)\/(s\/28). What is the biggest value in m, 0.2, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1027\/5 + -206. Let m = 39 + -28. Let z = 10 - m. What is the second biggest value in -2\/11, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 3*d**2 + d + 3. Let j be i(3). Suppose 45 = 2*r + 3*n, 3*r - 3*n - 70 = -8*n. Find the third derivative of -3*u**j + r*u**2 + 18 - 18 wrt u.\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 4. Let a be (-77)\/11 - 141\/(-21). Is a > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-3)*33\/(-6). Suppose 0*w + 5*k - 5 = -5*w, 0 = -w + 2*k - y. Let v = -6 - w. Which is the nearest to 2\/3? (a) v (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 3278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(-22 + (-16833)\/(-775)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-1)\/(-3) - (-13)\/3. Suppose -k + 4 = 4*t, 0 = o*t - 4*k - 0*k - 5. Let q(j) = -7*j**2 + j**2 + 2*j - 1 + 6*j**2 + 4*j**3. What is q(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101686*m + 100925*m = -9132 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 69*w**2 + 80*w + 823. Let u be j(-68). Solve -2*x - 9*v = -u*v + 6, 0 = 2*x - 4*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (12 + (-11 - (7 - -7)))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8292 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 - -a9860?\nAnswer: a9835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and 152.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o - 16. Let x(n) = 9*n - 4. Let b(a) = 5*a - 3. Let c(t) = -5*b(t) + 3*x(t). Let k(i) = -i - 2. Let m(h) = -2*c(h) - 3*k(h). Calculate f(m(v)).\nAnswer: -3*v - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 18, 24, 38, 66, 114, 188, 294?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70.4 - -70. What is the smallest value in -4\/7, l, 1\/8?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 0*a + a**2 - 4 - 3*a. Suppose -3*x + 11 = q + 31, -2*q + 10 = -4*x. Let n = 5 + q. Determine m(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 + 2*i**2 - 2*i + 2. Let h(u) = -u**3 - 3*u**2 + 3*u - 3. Calculate -4*h(s) - 6*p(s).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**4*h**3 - f**4 + 428*f**3*h**3 - 2*f**2*h**3 - 26*h**3 - h wrt f.\nAnswer: -24*f*h**3 - 24*f + 2568*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -979.0947 + 979. Round o to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 17*i + 4. Let d be x(-19). Let j = -6 + d. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -10\/11, -0.0191, -447\/2 in increasing order.\nAnswer: -447\/2, -10\/11, -0.0191, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 greater than 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-30 + (-444)\/(-15))*(-2)\/(4\/52370).\nAnswer: 2, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5*(3\/1 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 120 = -3*x. Suppose 3*a + 3*z = x, a + 0*a + 14 = 5*z. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**7\/7 + j**3 + 2*j. What is the second derivative of k(g) wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101035.76 - 0.2?\nAnswer: -101035.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + sqrt(209)*-1)*-6 + sqrt(209))\/(sqrt(99) + 2*sqrt(99)).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m + 0*m + m - m. Let v(t) be the second derivative of -t**4\/3 + 18*t. What is v(p(a))?\nAnswer: -64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - 4)*((-108995)\/(-25) - -1). Suppose 6*n = 7314 + w. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -l + 7, -5*y + 58 = -5*l + 3. What is the highest common factor of y and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4)*(-4 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y - 25. Suppose b = 1, -1 = y*c - 3*c - b. Suppose -2*k + 3*k - 30 = c. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41789 + 663649. Suppose -d = 9*y - 34038. Round y to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x = 102*x - 3840443 - 3057227. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1525654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00112260131 to 5 dps.\nAnswer: -0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 4:48 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -17*m + 12. Let p be d(14). What is the units digit of (-1)\/(1\/p*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*w = 50*w - 5*g, 0*g = -2*g - 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*6\/(-12)*5\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330815 = 324*t + 85871. Calculate the smallest common multiple of 2457 and t.\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2616.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*f + 996 - 204 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbdbbbdbdybbkbbybbby. Give prob of sequence yy.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-96))\/((-6)\/36*15)*28?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 6*u + 1 = 3*v, 33 = 2*u - 5*v. Let g(a) = -a - 4. What is g(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18559418\/7 greater than 2651346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 8*b = 2*q + 14, -4*q + 4*b = 4. Let h = 10 - 7. Suppose -4*g + 9 = -q*d, -5*d + h = -2. Solve -5*n + 23 = -r, 3*n + g*r - 9 = 2*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 5743 = -80873. Suppose 0 = -22*t + d - 1212. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*o = 100*o - 5*m + 8275, 2*m + 16514 = 4*o. What is the highest common factor of o and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 4*b**2 + b + 8*b + b - 12*b to s*b + i*b**2 + z and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a tonne in kilograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**4 - 8*k**3*t + 872*k*t**2 - 20809*t**2 wrt k?\nAnswer: 4*k**3 - 24*k**2*t + 872*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 3*z**4\/28 - 12*z**3\/7 - 81*z**2\/14 - 6*z - 17. Determine a, given that i(a) = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(2\/((-2)\/1)). Let q = c - 8. Let f = -4 + q. Calculate the remainder when 4 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -956325*d - 138457. Let g(k) = 3115*k + 451. Let v(r) = 615*g(r) + 2*z(r). Let p(o) = 41*o + 6. Give -451*p(h) + 6*v(h).\nAnswer: -41*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -55 + 4\/3*g**3 - 1\/4*g**4 + 0*g**2 + 12*g. Find the first derivative of k(o) wrt o.\nAnswer: -3*o**2 + 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 43*l - 16. Let p be x(7). Let u be 1598\/19 + (-30)\/p. Suppose u = 3*s + s. What is the greatest common divisor of 42 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/12)\/((-78)\/(-40) + -2). Let i(b) = 7*b**3 - 2*b**2 + b. Let h be i(1). Let l be (-41)\/(-3) + 1\/3. Solve h = -g*s - l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/18 - 176\/396. Put y, -2, -4, 0.3 in decreasing order.\nAnswer: 0.3, y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3069*v + 364 = 3017*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 7:39 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 + 239. Suppose 2*c - v = -c. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) - (1*sqrt(220) - sqrt(220)))\/sqrt(4)*5)\/(sqrt(11) + sqrt(11)*-2*-2 + ((sqrt(44) + sqrt(11))*-2 - sqrt(11))) + -5.\nAnswer: -5*sqrt(5)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -21, 5, 3.\nAnswer: -21, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3186 and 28053.\nAnswer: 3310254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 83175.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**5\/6 - 433*j**4\/3 + 3809*j**3\/2 = 0?\nAnswer: -879, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/4 + -3)*4\/(-6). Solve 2*g - 5 = d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.029+0.044712\nAnswer: 0.015712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w**3 - 1996*w**2 + 371*w + 18. Let n(i) = -8*i**3 + 1996*i**2 - 371*i - 21. Let k(f) = 7*h(f) + 6*n(f). Find the second derivative of k(c) wrt c.\nAnswer: 6*c - 3992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.75 + 1.8. Let z = w + -0.05. Let a be 1\/6*-1*-2. What is the nearest to 0.1 in z, a, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4)\/((a\/(a*a*a**(2\/5))*a)\/a))\/((a*a*a**5*a)\/a*a**2))\/((a\/(a\/((a**6*a)\/a*a)*a)*a**8)\/((a\/a**(2\/7))\/(a*a*a**(3\/2)))) assuming a is positive.\nAnswer: a**(-3449\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 10:15 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 214, 321, 428?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**3 - 4*f + 3. Let y(h) = h**2 - 10*h + 2. Let n be y(10). Let v be n + 1 + ((-56)\/(-4))\/(-7). Let i(t) = -t**3 - 1. Give v*o(w) + 3*i(w).\nAnswer: 2*w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.613 * -12.\nAnswer: 19.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*j - 45. Let i(y) = 2*y - y**3 - 5 - 3 - 2 + j*y**2. Let m be i(9). What is the highest common divisor of m and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1 (c) -7170\/23 (d) -4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31604.\nAnswer: 2, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, j: 1, n: 2, u: 1, c: 2, p: 2}. What is prob of sequence pu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = u - 53161, 6*u - 2*u - 20 = 0. Let c = 29623 - 8534. Let k = g - c. What is k rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -26 + (-3 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*((-2 - 3 + 4)*(2*h + 0*h - h) + 0*h + h + 3*h)*(3 - 3 - 2 + (-3 + 6 - 1)*(-3 - 4 + 5) - 3 + 0 + 7)*(2 + 5 - 5).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000016954 rounded to seven decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 241 + 455. Suppose -3*j - 654 + c = -2*y, 2*y - j = 422. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u + 13. Let v(p) = -p - 2. Let n(y) = -s(y) - 3*v(y). Let z be n(2). Let d(l) = -2*l**3 + 3*l + 5. Let o(b) = b**3 - 1. Calculate z*o(f) + d(f).\nAnswer: 3*f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9*2\/4)\/(1430\/(-2860)). Solve 0 = 3*j + 6*r - 7*r - t, -4*r = -j + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/9*(4 + (-90)\/24). Which is the second smallest value? (a) h (b) 0.2 (c) -2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27269 + 1690717\/62. Calculate the common denominator of c and -71\/8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162 and 650106?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i. Let b(a) be the first derivative of a**2\/2 + a + 2. Let d(p) = 7*p + 6. Let c(o) = -6*b(o) + d(o). Give c(q(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45327321 divided by -29801?\nAnswer: -1521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 3 - 3)*(-1 + 1 - 1) + x + 0*x + 2*x - 2*x - 1 + 1 + (-146*x + 533*x + 24*x)*(-4 - 1 + 4) in the form s + v*x and give v.\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2+1910\nAnswer: 1912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 28927509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-24)*4 - (-515970)\/(-3449628)?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14844989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - c - 87. Suppose -14 = -b - 3. Let z be i(b). Calculate the greatest common factor of z and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37808 divided by -2363.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7105, -7110, -7115, -7120, -7125?\n\"Answer: -5*p - 7100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 145*x + 1211 = 23*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-165)\/(-330))\/(((-1)\/10)\/1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*l + 7*l. Let d(p) = p + 51. Let q be d(21). Let g be (-1)\/(-4) + 126\/q. Solve 2*a - 4*k = -6, -g*a + k + 0 - 3 = l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55279 to the nearest one thousand.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4560, 19198, 43918, 78720, 123604?\n\"Answer: 5041*w**2 - 485*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(4 + 1) + ((-381)\/(-33))\/((-12272)\/(-5192)).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -263*v**2 + 89*v**2 + 84*v**2 + 93*v**2. Let h(q) = 325*q. What is h(g(a))?\nAnswer: 975*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 5*j**2 - 4*j + 1. Let o be r(-3). Let f = o - -5. What is the second biggest value in 0.4, 3, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -1438\nAnswer: -1437.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 + 136. Let q be (345\/171 - c)\/(3\/63). Is q at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(567) + 1)*-5 + 1*sqrt(567) + 2 - (-5 + (1 + sqrt(567))*-2)))**2.\nAnswer: -288*sqrt(7) + 2332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -32*c + 1991. Determine g(62).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) - 80\/14. Let y(x) = x**3 + 5*x**2 - 6*x - 8. Give y(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from tttttttctttt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -7. Let k(r) = 6 - 3 + 1 + u - r. Let c be k(-7). What is the greatest common factor of 60 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8 + 28*k**2 - 4*k**2 - 25*k**2. Let s(t) = t. Determine s(i(b)).\nAnswer: -b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -918.8 + 837. Let k = 107 + t. Let h = -25 + k. Sort -0.1, 10, h in ascending order.\nAnswer: -0.1, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56\/3*d**2 - 1\/3*d**3 + 635\/3*d - 550.\nAnswer: -(d - 5)**2*(d + 66)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*(sqrt(171) - (-2*sqrt(171)*-3 - sqrt(171) - sqrt(171) - sqrt(171))))**2.\nAnswer: 17099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, a: 4, n: 13}. What is prob of sequence qna?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.162 and -0.4?\nAnswer: 4.8648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7\/8))**(23\/5)*(c**(-1\/11)\/c*c)\/c**(-43) assuming c is positive.\nAnswer: c**(17109\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 71 = -5*k, -5*u - 3*k + 74 = -31. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17165\/(-230011))\/(6\/(-6834))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -11242?\nAnswer: 11240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000064147 rounded to 7 dps?\nAnswer: -0.0000641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6042120 to the power of 1\/2, to the nearest integer?\nAnswer: 2458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2133 and 873.\nAnswer: 206901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.81486 rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17473210 to the power of 1\/2, to the nearest integer?\nAnswer: 4180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5\/2*d**2 + 5\/2*d**3 - 1\/4 + 1\/4*d**5 - 5\/4*d**4 + 5\/4*d = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and -212662.2.\nAnswer: -5741879.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.99993 - -7. What is g rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 312\/65 + 5\/(25\/(-4)). Let a(i) = -2*i - 9. Let p be a(-9). Let u = p - 4. Solve u*l - 5 = f*y - 13, 0 = y + 3*l - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12222 - 2928 = -711*a + 2625 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100110010 (base 2) to base 6.\nAnswer: 14522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 40 = -0*a - 2*x, x = 3*a - 30. Suppose -m + 55 = a*m. Solve 0 = m*f - 3*v + 5, -2*f + 7 = -f + v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0806787 times -115\nAnswer: -9.2780505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*v = -9. Let y be (6\/12)\/(2\/(-32)). Let z = 0 - y. What is the smallest common multiple of v and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -47685*k**3 - k**2 - 2*k + 8. Suppose 16 = 2*x + 4. Let d be l(x). What is d rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 3*l + 2. Let s be y(-2). Let d = s + -1. Let k be (-2)\/(-1 + d) - -1. Solve -2 = 2*j - k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1297 is divided by 218.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1143422 - 24412?\nAnswer: 1114010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 407 - 405 + 3*x + x in the form y*x + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16089, -64325, -144719, -257271, -401981, -578849?\nAnswer: -787875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 2 - 2)*(2065 - 2065 - 824*u**2) to the form b + m*u + c*u**2 and give c.\nAnswer: -2472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 1:45 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1 + 0 - 3*l + 4*l. Let y(k) = 7*k + 6. Let c = -4 + 4. Suppose c = -7*z + 4*z + 18. Give z*u(j) - y(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49*(-16)\/(-336))\/((4\/6)\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30203 and -0.3.\nAnswer: 30202.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -0.09. Let m = 226 - 226.81. Let o = m - y. Put o, -2\/15, -5, -1 in ascending order.\nAnswer: -5, -1, -2\/15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/570*(-2)\/4. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:06 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 12*n + 79. Let v be p(5). Let k be (6\/v)\/(507\/(-84) + 6). Solve k*l = 31*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, n: 9, e: 4, o: 1}. What is prob of picking 2 e?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 9.9. Let d = -1.1 - l. Suppose 4*h = 3*q + 20, 0 = -261*q + 263*q - 2*h + 10. What is the nearest to -4 in -2\/9, q, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bff when three letters picked without replacement from fcbbczcfbbbbf.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122670 divided by 4230.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 r when three letters picked without replacement from {x: 4, r: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 13. Let s(w) = -2*w - 12. Let u be s(-12). Let o be q(u). Solve 4 = -f - o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssed when four letters picked without replacement from {v: 2, s: 4, d: 10, e: 1}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 8*u**2 - 6*u + 12. Determine d(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 963?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 1. Let d be x(5). Let t be d\/10 - 197\/(-5). Suppose -18 = -o + t. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29996806 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2. Let q(f) = 30 + 44 - 110 + 31 + 14*f**2. Let n(j) = -8 - j**2 + 13*j**2 + 9*j**2. Let i(h) = -5*n(h) + 8*q(h). What is b(i(u))?\nAnswer: 196*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -7\/4*g**3 + 9\/8*g**2 + 9\/20*g**5 - 1\/4*g**6 + 0*g + 9\/16*g**4 + 30. Factor f(j).\nAnswer: -3*j*(j - 1)**3*(2*j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from llllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kairarkqqyaq. Give prob of picking 1 i, 1 y, and 2 a.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -34*j**3 + 68*j**2 + 565*j - 275. Give t(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*s + 3*s + 410 = 0, -246 = -3*w + 5*s. Suppose -355 = -3*q - w. Calculate the remainder when q is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 606320, 0, 10, 12 in descending order.\nAnswer: 606320, 12, 10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11 + 6 - -6)*(2 + 2). Let v(y) be the second derivative of -1\/6*y**3 - y + 0*y**2 + 0. Calculate v(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4359*x**3 - 246*x**2 - 254*x**2 - 16068*x**3 + 500*x**2.\nAnswer: -20427*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 - 98*i\/3 - 180.\nAnswer: 2*(i - 54)*(i + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (14 - (-30)\/(-2)). Let m(f) = -f**3 - 4*f**2 + 11*f + 11. Give m(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1949 = 3*b - w, -5*b + 4*w - 1612 = -4872. Calculate the greatest common divisor of b and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**4\/24 + 13*x**3\/12 + 3*x**2 + 53*x. Solve g(o) = 0 for o.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**4\/24 + 10*a**3\/3 + 11702*a**2. Let k(l) = l + 19. Give -5*b(y) + 4*k(y).\nAnswer: -y - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2549 + -2559.302. Let a = -105.898 + 106. Let i = p + a. What is i rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8362887, -8362874, -8362857, -8362836, -8362811, -8362782, -8362749?\nAnswer: -8362712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2\/5 - 728*q\/5 + 288.\nAnswer: 4*(q - 180)*(q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d (base 15) to base 10.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 11 = 7. Suppose 106 = r + 2*w, -2*r + 6*w + 221 = w. Suppose 6*a = q*a - r. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 114532 - 229201 + 113529)*(5 + 1 - 5).\nAnswer: -3*i**2 - 1140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -2\/3 (c) -2\/19 (d) -1 (e) 48\/5 (f) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1148998 and 1148998 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 - 16*i**2 - 25*i**2 - 2*i**2 + 48*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/16 and 51\/584?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 45*c**5 + 87*c**4 - 186*c**3 - 78*c**2 + 141*c - 9 = 0.\nAnswer: -3, -1, 1\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (11 - (12 - 5 - 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -3*k - 6. Suppose c - 4 = 2*r - 0*r, 0 = k*r + 2. Is (c - 384)\/(2\/(-1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r + 3, 2*r = 4*z - 54. Suppose -z*p + 240 = -3*p. Calculate the remainder when 70 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6730 - 6670 - (14 + (0 - (-2 - -2)))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1111110001000001111011?\nAnswer: -1111110001000001111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1536 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/25 (b) 1 (c) 0.01 (d) 2\/15 (e) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 + 10*a + 84 - 2*a**2 - 84 + 3*a**4 - 17*a**3 in the form z + v*a**3 + b*a**4 + g*a + m*a**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -29ee?\nAnswer: 29e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-36) + 2\/4. Suppose 2*q + 2*i = 0, -3*q + 2*i + 18 = 3. Suppose 2*t - 5*t + q = 0. Which is smaller: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1118 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23c + -5?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -605 + 605.000003344. Round f to seven decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s - 3. Suppose -h - 5*l + 24 = -3, -2*h - 11 = -3*l. Let b be m(h). Suppose -b*w + 24 = -0*w. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2951, -11758, -26431, -46964, -73351, -105586, -143663, -187576?\nAnswer: -237319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8*t**3 + 140*t**2 - 67*t - 1. Calculate n(17).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*y - 433*y - 33408 = -206*y - 14057 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 968975 and 6877150.\nAnswer: 8575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12\/5 (b) -1\/6 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyykfyysfsyyfywky. What is prob of picking 1 y, 1 k, and 2 s?\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 1. Let q(z) = 42*z**2 + 4. What is 4*a(h) + q(h)?\nAnswer: 46*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -2*r + 2*y, -2*r - 3*y = 0. Solve -f - 5 = -2*g, r*g = 4*g + 2*f - 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 228, 524, 1124, 2130, 3644, 5768?\nAnswer: 8604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v + 34081 + 5738 = 443019. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 7*z**2\/2 - 1. Suppose 14*y - 42 = -14. Let a(j) = -539 + 1073 - 534 + y*j. Give a(h(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 8:11 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.3328268 millennia?\nAnswer: 3.328268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - d**2 + (-3 + 3*d + 3)*(5*d + 3*d - 5*d) to the form z*d + v*d**2 + t and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13ccb (base 13) in base 7?\nAnswer: -213612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 23 = -5*x, x = -2*h - 20 + 30 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.97 + 0.97. Let f = -7 + 7. Which is the smallest value? (a) -5 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8128 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 - 2*u**4 - 3*u**2 + 5*u**2)*(-200 + 64*u + 200) + (0 - 2*u**3 + 0)*(4 - 4 + 2*u**2) + u**5 - 2*u**5 + 3*u**5.\nAnswer: -130*u**5 + 128*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.01712 + 20.8743\nAnswer: 20.89142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -119*m**2 + m + 2. Let i be j(2). Let o = i - -3310\/7. Solve 2\/7*c + 0 + 2\/7*c**4 + 6\/7*c**3 + o*c**2 = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17708859*k**3 - 11958267 wrt k.\nAnswer: 53126577*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2124 and 37\/1062.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 1. Let k(w) be the first derivative of -w**2 + w - 9. Determine 7*k(t) + 6*v(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13587587 is divided by 252?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109 + 162. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 11:40 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q + q)*(-3 + 3 - 2*q) - 3*q**2 + 2*q**2 - q**2 + 4*q**2 + 0*q**2 - 6*q**2 + (22*q + 19*q - 10*q)*(-2*q + 2 - 2).\nAnswer: -70*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 428, 795, 1124, 1415?\n\"Answer: -19*r**2 + 424*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221787 is divided by 360?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421541 = 10808*r - 518755 for r.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**2 - 5*c + 2. Let j(d) = -d**2 + d. Suppose -7*k = -41 + 6. Suppose 0*h + 2*b - 18 = -k*h, -3*h - b = -11. Calculate h*j(i) + f(i).\nAnswer: i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 142 and 55.\nAnswer: 7810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 1)*(-16)\/(-32). Solve -4*a + c*a + 20 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22142 - -11?\nAnswer: 22203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 4*y - 21, -14 = 359*y - 355*y - 2*x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 58, 129, 218, 319, 426?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p. Let i be r(-1). Let b be ((-10)\/i)\/((-1)\/(-4)). What is the remainder when 2\/5 + 43\/b is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 459493, 459167, 458841, 458515?\n\"Answer: -326*d + 459819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 12:01 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 - 10*f**2 - 27*f + 117. Calculate the lowest common multiple of 11 and n(4).\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*y**6 + 38913149*c*y**3 + c*y**2 + 1700*c*y + 545*c - 1 wrt y?\nAnswer: 120*c*y**3 + 233478894*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 15*m**2 - m - 1. Let u = 84 - 82. Is f(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 5. Let d(h) = -h**2 + 14*h - 9. Let g be d(6). Let y = g + z. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1912, -1874, -1836?\n\"Answer: 38*s - 1950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 402314908.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 8) to base 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6 = -4*w. Let b(l) = l + 2 + w*l - 2. Let z(d) = d**2 + 2*d**2 - d**2. Give z(b(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5, 0 = 5*r - 2*a - 35. Suppose -n - r + 3 = 0. Is (n\/(-12))\/((-1)\/(-38)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1) + (-45529971)\/29. Round z to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -7, -0.15, 0.2, -1\/50, 0.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x + 40. Let h be (-4)\/10 - 252\/(-30). Let l be u(h). Suppose 0*c - 15 = -c + j, l = -c - 2*j + 18. What is the remainder when c is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -3*v - 15. Is 4 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 10*x**2 + 10*x - 5. Let z be g(-11). Suppose -2*k - z = -10. Suppose -269 = -k*j - 77. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -20, -46 in decreasing order.\nAnswer: 4, -20, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 7. Let d be n(-5). Let j be ((-3)\/d)\/(6\/(-12)). Suppose -j*z = -0*z - 42. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + w + 31 = 0, 268*g + 12*w - 18 = 266*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(-2*g**2 + 4*g**2 + 2*g**2)*(-2*g + g + 0*g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20697 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*x + 11. Suppose -4*y = x*y. Suppose y = 4*p - 4 - 32. Calculate the remainder when 26 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 302599.634.\nAnswer: 302603.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 3\/4*k**4 - 10\/3*k**3 + 1\/30*k**5 + 0 - k**2 - 90*k. Factor i(r).\nAnswer: 2*(r - 1)*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 2*b - 5*b**4 + (-2*b - b**3 + 2*b)*(-4*b - 5*b + 6*b).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c. Let x = -419 + 552. Let s(t) = -70*t - 36 - 62*t + x*t. Calculate u(s(y)).\nAnswer: 3*y - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 26*a**2. Let p(y) = 32*y. Calculate p(v(d)).\nAnswer: 832*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 4:54 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -719 + 1253. Let m = -469.3 + v. Let s = 65 - m. What is the second biggest value in -0.3, 3\/7, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - n. Suppose 0 = b - x - 13, -4*b = -3*x + x - 46. Suppose -9*s - b = -11*s. Suppose 3*i + r = -5, -s*i + 0*i = -3*r + 13. What is p(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*y + 2105 - 1437 + 64*y.\nAnswer: 2*y + 668","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 12*t**3 - 92*t**2 + 169*t + 3. Let r(g) = -86*g**3 + 642*g**2 - 1182*g - 22. Let c(p) = 6*r(p) + 44*z(p). Factor c(o).\nAnswer: 4*o*(o - 2)*(3*o - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.28 + 0.72. Let n = -1\/150 - -319\/2850. What is the biggest value in n, -1\/4, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2))**(-1\/20))**(18\/5))**(10\/11) assuming l is positive.\nAnswer: l**(18\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 8:44 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 3*a**4 - 2*a)*(-1 + 10 + 0)*(-1 + 0 - 1)*(2*a + 0*a - 3*a + (-3*a + 1 - 1)*(-3 + 1 + 0)).\nAnswer: -270*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4172*f - 4166*f + 16718*f - 4169*f + 62*f**3 - 4211*f.\nAnswer: 62*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 - 12)*(5*q - 5*q + 2*q**2).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 2\/75*l**5 + 0 + 0*l + 2\/15*l**3 - 3*l**2 + 3\/20*l**4. Find s, given that z(s) = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33457660 and 80?\nAnswer: 133830640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*r, -5*r + 16 = -x - x. Let a(i) = -i**3 + 4*i**2 + 6*i - 7. Let g be a(5). Let f = -1 + g. Sort f, 0, x in increasing order.\nAnswer: f, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y + 4*f + 24 = 0, 0 = 3*y + 5*f + 6. Suppose 0 = -2*l - y*g + 12, -3 + 54 = 5*l - 3*g. Let d = l + -5. Solve 6 = d*v - 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16625*3.4.\nAnswer: -56525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = q - 33, -q + 24*s + 27 = 28*s. Sort 318, 2, q, -2 in increasing order.\nAnswer: -2, 2, q, 318","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 + (-2574)\/(-715). Solve -3*u + 8 = z*f - 27, -f - 3*u + 20 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 3, g: 4, s: 5}. What is prob of sequence gm?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/69)\/(47\/(-141))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715947 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -56, -126, -234, -386?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001 minus 1.939?\nAnswer: -1.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 691011.6 millilitres in litres?\nAnswer: 691.0116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 + -48. Let i = f - 14. Suppose c - 8 = -n, -6*c - 4*n + 28 = -3*c. What is the smallest common multiple of c and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2. Let d = -19 - -19. Let h(m) be the second derivative of m + d + 0*m**2 - 1\/3*m**3. Determine h(l(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 3. Let n be (-22)\/p + (-2 - -5). What is m in n*m**3 + 0 - 1\/4*m + 0*m**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/a**0*a)\/a*a))**(-7)*((a*a**(3\/7)\/a)\/a)\/a*(a\/a**(6\/7))\/a assuming a is positive.\nAnswer: a**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1791415 take away -3901135?\nAnswer: 3901134.8208585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*h**3 - 6*h + 53*h**3 - 72*h**3 to p*h + z + k*h**3 + i*h**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*h = 308*h - 2*y - 20, -y - 4 = -3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - c + 0)*(2 - 2 + 3*c) - 2*c**2 + 3*c**2 + 11*c**2 + 9*c + 5*c**2 - 9*c.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -209, 6, -11, 3 in increasing order.\nAnswer: -209, -11, -6, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**4\/4 + 32*s**3\/3 + 29*s**2\/2 - 24*s. Let b be g(25). Is -246 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2495\/(-1996)*24\/(-105) - 1548\/(-21)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.14546 * 23.\nAnswer: 26.34558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1955 and 3536?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 311, 579, 837, 1079, 1299, 1491, 1649, 1767?\n\"Answer: -f**3 + f**2 + 272*f + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/3)\/f*f)\/(f\/((f*f**(-2\/15)*f)\/f)))**(15\/2) assuming f is positive.\nAnswer: f**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4190*m - 1131*m + 3290*m - 4*m.\nAnswer: 6345*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/171 and 85\/906?\nAnswer: 51642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.6 take away 15?\nAnswer: 72.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19966 + 1?\nAnswer: -19965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 153 and 261778.\nAnswer: 261931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(7) + (sqrt(7) + (sqrt(7) - sqrt(49)\/sqrt(63)))**2.\nAnswer: sqrt(7) + 166\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**2 - 2*y + 65*y**2 - 4*y**2 to the form k + q*y**2 + w*y and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 7:06 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 4:51 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {p: 4, r: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -0.1, 0.13, 7, -3\/4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 123\/265?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 129, 191, 253, 315, 377?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*z - 39, -2*v - 5*z + 9 = -0*v. Let l(c) = -c**2 + 11*c - 8. Let s be l(10). Suppose 0 = -b - s*b + 9. Solve v*t + 8 = b*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -5*w + c, -3*w - 3*c + 0*c - 72 = 0. Let h be (2 - 14\/5)*w\/5. Suppose h*s - 54 = 118. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/13, 2, -3\/4, -1.2 in descending order.\nAnswer: 2, 3\/13, -3\/4, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, w: 3, g: 3, m: 1}. Give prob of picking 1 f and 3 w.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.41 in -9\/14, 0.3, 4\/7, -2, -1, -6\/151?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4278793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*c**2 + 434*c**2 + 7014*c**3 - 216*c**2.\nAnswer: 7014*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-10) - (-6)\/15. Let c = b + 0. What is the remainder when 30\/(-70) - (-90)\/14 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from julfffwjwiflwlj.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 3. Let v(c) = 4*c**2 + 2*c. Let m(h) = -3*h**2 - 2*h. Let o = -32 - -26. Let u(n) = f*v(n) + o*m(n). Let u(p) = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(130) - 1*sqrt(130))\/sqrt(10))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 213452274 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -16\/39?\nAnswer: -16\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52612573?\nAnswer: 13, 419, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8787602 millennia in years?\nAnswer: 878.7602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15183\/8608 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 4*k**2. Let r be b(4). Suppose -4 = 3*o + 5*s - r, -2*o = 3*s + 2. Let f = -42 + 48. Solve f*c - 3*c + o*d = 12, 2*c - d - 1 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2873136 is divided by 143652.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - m + 5 = -7*u, -3*u - 2*m - 12 = 0. Let t = -2 - u. Suppose a - 77 - 6 = t. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaanzna. Give prob of sequence aa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52.31 - 53. Round f to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3137757*b. Calculate p(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4854*f**2*k**2 - 5*f**2*k + 2*f + 324*k wrt k?\nAnswer: -9708*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*p = -98*p - 48575. What is the remainder when 734 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/24 and ((-2)\/63)\/(8\/39)*(-114)\/1900.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -3.0433914?\nAnswer: 3.3433914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5983 and -7.\nAnswer: -5990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 11 + 12 - 18*b**2 + 0 + 16*b + b**3. Let q be u(17). Calculate the highest common factor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*24\/((-12)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(98) + (sqrt(160)\/sqrt(5))**2.\nAnswer: -14*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 99935 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714*o - 1683 = 1173 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 141, 128, 109, 78, 29?\n\"Answer: -s**3 + 3*s**2 - 15*s + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3321889.\nAnswer: 3321889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 130 - 132. Let l be 1\/p*0\/15. Put 3, -4, l in descending order.\nAnswer: 3, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/6, 0.08, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 35670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*h = -h - 1, 2*u = -4*h + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1687.2 + 1690.2. What is the smallest value in 5, s, -0.0284?\nAnswer: -0.0284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9123*p**2 - 11034*p**2 + 25112*p**2 - 734*p wrt p?\nAnswer: 9910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 490*z - 8958. Determine c(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2, -0.34, -0.5, 3, -283 in ascending order.\nAnswer: -283, -2, -0.5, -0.34, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 1, -52 in decreasing order.\nAnswer: 28, 1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -12*m + 18*m. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10044001 - 3350?\nAnswer: 10040211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:26 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 33*b**2 - 1754 + 14*b**2.\nAnswer: -19*b**2 - 1754","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvpp when four letters picked without replacement from {p: 5, v: 13}.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 4*m**2 + m**2)*(-3*m + 2 - 2)*(0 + 1 + 1) + 4*m**3 + 15*m**2 - 3*m - 35*m**2 + 23*m**2.\nAnswer: 10*m**3 + 3*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k + 14*k - 3530*k**3 + 3510*k**3 in the form b*k**2 + l*k**3 + s*k + z and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/26 - (-120)\/65. Let g(c) be the second derivative of 2*c + 2*c**3 - c**3 + 2*c - m*c**3. Let w(q) = -q. Calculate g(w(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2332587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -134914481 divided by 299?\nAnswer: -451219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 2, f: 1, k: 1, y: 1, t: 2}. What is prob of sequence tg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)*6 + -5 - (4*2*sqrt(175))**2.\nAnswer: -11205 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*j + 3*j. Let o(w) = -w**3 - 9*w**2 + 9*w - 14. Let s be o(-10). Sort s, 4, j in decreasing order.\nAnswer: 4, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 1:30 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-14))\/((-18)\/63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116314 and 26?\nAnswer: 1512082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-22)*(15 + -1) - 4. Suppose k - r*v - 14 = 0, 3*k - 4*v = 4*k + 7. Solve -z = -k*z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 10. Let s(o) = 3*o. Let x be s(-4). Let f be q(x). Which is bigger: -0.01 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -700 greater than -149625\/214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34, 51, 82, 133, 210, 319, 466?\n\"Answer: n**3 + n**2 + 7*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 0 - 1 - -4. Which is smaller: 2\/21 or h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.059766 + 42.\nAnswer: 40.940234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -171.2318596 - -0.5\nAnswer: -170.7318596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 474644771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2981 + 2942. Which is smaller: w or -2.6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 3 + 5)*(-p + 1 - 1) + (-4 - 2 + 5)*(0*p - p + 0*p) - 5*p + 3*p - p - p + 0*p + 0*p in the form b*p + q and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-16))\/(h\/(h\/(h*h*h**8))*h))\/(h**2)**25 assuming h is positive.\nAnswer: h**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*w + 33 = 0, 3*a + 69 = -67*w + 73*w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9909132666 to the power of 1\/2, to the nearest integer?\nAnswer: 99545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 14*f - 20*f - 2*f. Let m(n) be the first derivative of n**2 + 1. What is l(m(b))?\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from oxvxxxoovxxovxxx.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**4\/24 - 2*h**3\/3 + 5*h**2. Let p(s) = s - 5. Determine 6*p(o) - 7*v(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*r = -44*r + 40 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11194.\nAnswer: 2, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 11. Let f(n) = 955*n. Determine o(f(j)).\nAnswer: 1910*j + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*v**3 + 5*v**3 - 21*v**3)*(2 + 2 - 3).\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 + -5)\/(1\/3). Suppose 5*d - 11 = -m + y*d, 4*d = -5*m + 43. What is the remainder when m is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 237 - 221. Put -7, r, 0 in ascending order.\nAnswer: -7, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -15*q**2. Let i(b) = 58*b**2. What is u(i(d))?\nAnswer: -50460*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -38950 divided by 1558\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*v + 3. Let g = 23 + -21. Which is greater: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(448))*-4 + -4)**2 - -6*((1 + sqrt(448))*3)**2.\nAnswer: 864*sqrt(7) + 31414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5017015 a multiple of 577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 205*u**2 - 4 + 5.\nAnswer: 205*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z**3 - 462*z**2 - 78*z + 6. Let j(s) = -8*s**3 + 464*s**2 + 91*s - 7. Let l(m) = -6*j(m) - 7*k(m). Factor l(b).\nAnswer: -b**2*(b - 450)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -4564?\nAnswer: -31948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1)**(-1\/42)*d**(2\/11)\/d**7)\/((d**(-1))**14*d**7\/(d\/((d**(-3\/7)*d)\/d))) assuming d is positive.\nAnswer: d**(361\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 2*z + 8, 3 = -5*f - z - 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-364)\/117)\/((-58)\/18 + 3). Let i(j) = -j**3 - 4*j**2 - 2*j - 7. Let s be i(-5). Suppose 4*y + 0 = s. What is the greatest common divisor of g and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17321144 by -1.\nAnswer: -17321144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2190311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 9*c = 18. Let h(m) = -m + 4. Let q be h(c). Which is smaller: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 29*m - 105. Let c be t(33). Suppose 189 = -c*a - 27. Suppose 7 = -4*w + 3, -2*w + 23 = -5*g. Put a, 3, g in decreasing order.\nAnswer: 3, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 3*b - 2. Determine j(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.523911 nanometers to meters.\nAnswer: 0.000000004523911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3887 (base 13) to base 10.\nAnswer: 8054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/5)*n*n*n)**3 assuming n is positive.\nAnswer: n**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 2:33 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + -150?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 91?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**2 - 2*g - 1. Let k be d(-1). Suppose 2*a + 5*r + 571 = -a, 0 = 3*a - k*r + 581. Is a\/(-10) + (-1)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 19*n**2 + 155*n + 120. Calculate m(-25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1412133 (base 5) to base 3.\nAnswer: 1110211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - 2) + 4 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(1 + (-2 - 0)). Suppose -4*g = p*g - 14058. Suppose 465 = -l + 2*l + 2*z, 5*l - g = -z. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, r: 2, l: 7, w: 3}. What is prob of picking 1 r, 2 l, and 1 w?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 - 13 - 33 + 5*l to the form t + m*l and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 + 2*y**2 - 35*y + 25*y**3 - 24*y**3 in the form h*y + n*y**2 + u*y**3 + k and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(119)*2)\/sqrt(7).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 284 - 506. Let x = l + 891. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11763, 11745, 11739, 11751, 11787, 11853?\n\"Answer: p**3 - 25*p + 11787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwbb. What is prob of sequence wb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -423.7495115 rounded to 2 dps?\nAnswer: -423.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - l + 1223, -f + 41 = 5*l - 241. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.030812 + -297.327188. Let p = q - -297. Let v = p - -0.058. Which is the second biggest value? (a) -0.18 (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (72\/(-15))\/(3\/(-15)). Let o be 56\/n + (-2)\/6. Solve -4*w = o + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 259020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-10))\/((-8)\/(-40)). Suppose -2*o + 0*r = -2*r - 260, -2*r = b*o - 264. Suppose -o = -k + 58. Is k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 2238.\nAnswer: -4\/1119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 6\/4)\/((-72)\/1920). What is the greatest common divisor of q and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0)*(80*w + 46*w + 108*w + 50*w) to o + b*w and give b.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 10*d - 2*v + 342 = 0, -305 = -983*d + 990*d + 4*v for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89871.\nAnswer: 3, 29, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 3*x + 2, 0 = 3*j + 3*x - 2*x - 4. What is the remainder when 33 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -200*i**2 + 7 + 26*i**2 - 28*i**2 in the form v*i + r*i**2 + z and give r.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -73746 times -0.3\nAnswer: 22123.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/2 + 295*a**3\/2 - 9401*a**2 - 39996*a = 0.\nAnswer: -4, 0, 101, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50272.47666 - -50284.4. Let u = 11.94 - t. Round u to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 0)*(27 - -2). Let f = -17 + g. Suppose -4*d + 4*s - 4 = 12, -d = -3*s + f. Solve 2*n - 5 - 1 = d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 423709809*i**2 - 216*i + 1950 wrt i.\nAnswer: 847419618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 2:19 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 take away 16685902590117?\nAnswer: -16685902590116.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -21*y - 96. Let o(s) = 4*s + 69 + 58 + 64 - 172. Determine 2*j(r) + 11*o(r).\nAnswer: 2*r + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177397965 is divided by 1076?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 200 - 1?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 50068296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -c4?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*s + 4 + 25*s - 28*s + 0*s + 0*s - 2*s - 5*s + 0*s + 4*s + 0 + 0 + s + (2*s + 3*s - 7*s)*(-3 + 3 - 2) - s + 0 + 0 + 2*s + 5*s - 6*s.\nAnswer: -22*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 - -1.1. Let s = j + -10. Let t = -5.008 - s. Round t to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 10 = 2*l - r, -6 = -l - r. Let p(d) = l*d - 5*d + d - 6*d**2. Let y(z) = -2*z. Give y(p(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*i = 38, 0*i + 2*i - 76 = -4*a. Let x = a - 17. Factor 2*p**2 - 4*p**4 - x*p**3 + 0*p**4 + 0*p**3.\nAnswer: -2*p**2*(p + 1)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -90 + 74?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 1)*(v**4 + 5*v**4 - 4*v**4 + (-5 + 5 + v**2)*(0*v**2 + 6*v**2 - 7*v**2)) to b*v + q + s*v**3 + a*v**4 + c*v**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 39 - 87 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -41. Let o be -19 + 13 + -14 - -27. Suppose 16 = 4*n - 0*n - 2*i, -5*n - 3*i - 2 = 0. Solve -p + n*p + o = -3*u, u + 4*p + c = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 15. Let y(p) = p**3 - 5*p**2 - 4*p - 4. Let z be y(6). What is the units digit of g(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 5*j + 0*j + ((-4 + 1 + 1)*(1 - 3 + 0) - 6 + 4 + 1)*(-2*j - 7 + 7))*(0 + 2 + 3).\nAnswer: -40*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/((-4)\/1) - 2. Let d(t) = 2*t + 5. Give d(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t\/t**(-6))\/t))*(t\/(t*t*t**2)*t)\/t*t)**(3\/16)*(t*t**(-6)*t*(t*t**(1\/11)\/t)\/t*t*t)\/(t\/t**(-1))**2 assuming t is positive.\nAnswer: t**(-271\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1164*v + 6961. Determine i(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5012 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: Collect the terms in 213 + 216 + 215 - 644 + 5*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1468*j**5 - 108*j**4 + 13*j**3 + 2*j**2 - 538967*j + 3 wrt j.\nAnswer: -88080*j**2 - 2592*j + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 2*c + 19. Let r = c + -15. Let d = 108 + -106. Solve 5*v - 25 = 2*u, -r = -0*u + d*u + v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-99)\/(-11))*2)\/(3\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2909 is divided by 113?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 684.553 rounded to 0 dps?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 2*o**2 - 91*o + 339. Calculate j(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + -1 - (12 - (43 - 26) - (0 - 8)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 + 114*h - 355. Give j(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108486, 108491, 108496, 108501, 108506?\nAnswer: 108511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56525 - -61?\nAnswer: -56434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1177 + -1166. What is the smallest common multiple of 596 and q?\nAnswer: 6556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 53*p + 574. What is the common denominator of -127\/48 and h(-15)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 406*u**3 + 6*u**2 - 6*u. Let x(d) = -407*d**3 - 5*d**2 + 5*d. Determine 5*p(r) + 6*x(r).\nAnswer: -412*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66745, 66682, 66619?\nAnswer: 66556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (132\/(-55))\/((-4)\/10). Suppose -3*i - 12 + t = 0. Put 4, 3, i in decreasing order.\nAnswer: 4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -321 + 321. Suppose -5*w - 104 + 304 = a. What is the greatest common divisor of w and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4760*a**2 + 573*a - 19409479 wrt a.\nAnswer: 9520*a + 573","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 406687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -20804*r - 269600. What is z(-13)?\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40069 and 1088.\nAnswer: 2564416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.471025 rounded to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.3 (b) 3\/67 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 651978613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -839*c**5 - c**4 - c**3 + 396302*c**2 wrt c.\nAnswer: -50340*c**2 - 24*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -10. Let s = 0.28 + 0.12. Let t = 0.5 - s. Which is the closest to h? (a) 3\/4 (b) t (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 7. Let l(v) = 33*v - 5. Is l(z) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 0. Let z = -0.42 + x. Let a = z - -0.020082. What is a rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 3:51 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (912\/2280)\/(4\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 26 - 22 = 0. Is -48 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/8)\/((-6)\/(-20)). Let k = p - 1. Which is smaller: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14 + -2)*((-243)\/(-54) + -4). Let a(d) = -d**3 + 4*d**2 + 4*d + 7. Calculate a(p).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 7, a: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**13\/d))\/d**(4\/7)*d**(12\/11)\/((d*d**0)\/d) assuming d is positive.\nAnswer: d**(-884\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2. Let a(m) = 1842*m - 1842*m - 2*m**2. Determine a(u(k)).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 27 = -7. Suppose 3*z - 5*p + 13 = 0, z + 2*z = 2*p - 7. Let c be (-9 - 2)\/(z + 0). Solve c = -u*g - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5795, -23230, -52299, -93002?\n\"Answer: -5817*b**2 + 16*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1316 - 1318. Sort 6, -104, x.\nAnswer: -104, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/11 + 260092*x\/11 - 8455981058\/11 = 0. What is x?\nAnswer: 65023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*g - 29 = 0, 6 + 10 = 2*o - 2*g. Let c = -11 + o. Suppose 0 = -c*q - h + 16 + 149, 4*q + 5*h - 333 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1266930, 5067688, 11402286, 20270724, 31673002, 45609120, 62079078?\n\"Answer: 1266920*a**2 - 2*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 * -0.4\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 2*m + 522. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 14*k**2. Suppose 0*l + 2*l = v + 54, 0 = -v - 2. Let p(u) = -2*u. Let h(x) = -8*x. Let b(c) = l*p(c) - 6*h(c). Give b(g(o)).\nAnswer: -56*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 3\/7, 4, 3, -26, 1.\nAnswer: -26, 3\/7, 1, 5\/3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o + 1. Let m(d) = -5*d - 1. Let t(r) = -7*h(r) - 3*m(r). Let a(s) = -s + 5. Let k(q) = -4*a(q) - 5*t(q). Let w be k(1). Which is smaller: w or 2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 5*t - 7*t - 22, -5*k + 4*t - 16 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89155933.0000067 + 89155988. Let f = o + -55. What is f rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28.9 and 10.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32753, -32753, -32755, -32759, -32765, -32773?\nAnswer: -32783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 7*x + 2*g = -3, 5*g = x + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, 4, -10\/9 in descending order.\nAnswer: 4, -10\/9, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4293969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 20 = -7*w. Calculate the greatest common factor of w and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -25*n**3 - 3*n**2 - 7*n - 2. Is 19 a factor of i(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -0.20965?\nAnswer: -0.40965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10400003 (base 5) to base 4\nAnswer: 112020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15506431 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 60 = -5*i, -3*s - 4*i + 8 + 32 = 0. Suppose -s = -4*q + 8. Suppose q*m = 12, -5*m + 95 = 4*o - 40. What is the greatest common divisor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 22. Let z(f) = f + 6. Let x be z(-6). Suppose 3*i + 2*i - 230 = -h, -3*i - h + 138 = x. Calculate the remainder when i is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -90783, -91816, -93537, -95946, -99043, -102828, -107301?\n\"Answer: -344*n**2 - n - 90438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*12\/(-18)*(-537)\/(-2). Let p = q + 175. Let n(w) = w**3 + 4*w**2 - 2*w - 2. Calculate n(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -344, -342, -340?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1267690 and 33830?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**5\/5 + 474*m**4\/5 - 75821*m**3\/5 + 4236804*m**2\/5 - 23143536*m\/5 + 3796416 = 0.\nAnswer: 1, 5, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 273 + -153. Let k(n) = 15*n - 42. Let f be k(3). Suppose f*g - 14*l = -11*l + 108, 3*l + 15 = 0. Calculate the remainder when c is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2 + 4*l - 10*l + 13*l - 5. Let t = 0 - 6. Let f(m) = -6*m + 6. Let y be (-16)\/3 - 1\/(-3). Give t*f(c) + y*z(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 27*b + 793. Let x(l) = 23*l + 789. Give 5*i(h) - 6*x(h).\nAnswer: -3*h - 769","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - z = 8, 2*z - 255 + 265 = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15291.9l in millilitres?\nAnswer: 15291900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**2 + q - 10. Let n be l(-4). Let x = -62 - n. Suppose 2*i - 3*b - 479 = x, -1226 = -14*i + 9*i - 2*b. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, j: 10, u: 4}. Give prob of sequence iij.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3947421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824104416.\nAnswer: 2, 3, 8584421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 105, 2, 5, -2 in decreasing order.\nAnswer: 105, 5, 2, -2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (8 - (3 + 0))) + 1 + (620 - 666)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsddhhhlihhh. What is prob of picking 2 h?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1563409346254 and -0.031.\nAnswer: -1563409346254.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3569941*w**2 + 2698016?\nAnswer: 7139882*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1697 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106 and 8.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 22 = -5*i, 2*f - 3*i = i + 8. Let w(g) = g**2 - 7*g - 6. Give w(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c - 4043314*c**3 - 14*c**2 + 14*c**2.\nAnswer: -4043314*c**3 - 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*q**2 + 54*q**2 + 46*q**2 - 150*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 820955397 to the nearest integer?\nAnswer: 28652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b + 4. Let x(q) = -q. Let f(w) = s(w) + 5*x(w). Let k be f(3). Let i be (-4)\/k*(-41)\/(-2). What is i rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 296 + -292. Suppose 1 - 25 = -4*c - 4*b, -y*c + 39 = -b. Is c greater than or equal to 25\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - n = 127, -4*t - 6*n = -2*n - 484. What is the highest common divisor of t and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 9 + 9)*(-3*d**4 - 4*d**4 + 2*d**4) - d**4 - 4*d**4 + 0*d**4.\nAnswer: -100*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a factor of 316760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*y. Let v(b) = -9*b - 14. Let g be v(-5). Suppose -9*q + g - 13 = 0. Solve 0 = -y*r - q*r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w + 42. Let z be o(13). Suppose 0 = -z*b + 3*d - 3, 0*d - 3*d + 3 = -b. Solve -q + 1 = -b*q - a, 4*q - 2*a - 12 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 10*s + 46. What is the tens digit of r(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 10. Is 4 a factor of 2\/10 + (-9)\/10*m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/4))**(-2\/23)\/(d\/(d\/(d**7\/d)*d)*d*d**(1\/5))*(d*(d**(1\/4)*d)\/d*d)**(-35)\/(d**3*d**(-2\/5)) assuming d is positive.\nAnswer: d**(-40323\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44 - -566?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1901*g**5 - 105189*g**2 + g + 119190587 wrt g.\nAnswer: 38020*g**3 - 210378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11056 - -11056. Let s = 0.17 + 0.83. What is the closest to m in 1\/46, 4, s, -1\/5?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28a302 - -4?\nAnswer: 28a306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2420 divided by 7\nAnswer: 2420\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o**2 - 57*o - 4. Let d be t(-8). Solve 4*y + d*v = -16, -2*y + 5*v + 14 + 6 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/54*4\/16*-6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 w when four letters picked without replacement from cwcwccccwcc.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 0*s + 12*s**2 + 0*s**3 + 0 + 0*s**4 + 11\/60*s**5. Let l(z) = -2*z**2. What is l(o(n))?\nAnswer: -242*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94)\/(-462) - (-8)\/(-112*21\/42).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -559, -1156, -1763, -2386, -3031, -3704, -4411?\nAnswer: -5158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139\/3 - -46. Let a = 65 + -72. Which is smaller: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 7*n - 30 = 0. Let k = -9 - n. Calculate the remainder when 15 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 0*z**2 + 12 + 0*z**2 - 4*z**2 - 6*z. Calculate the remainder when v(-8) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 6*m**2 - m + 12. Let c be a(-6). Solve -c*y = -16*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 61 = 149. Let d be (-22)\/70 + 12\/x. Which is the third smallest value? (a) d (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1831 + 4974. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 9*c - 16*c. Suppose 0 = -k - c*k + 792. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-20) + (-22)\/55 - 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 24*l**2 + 28*l + 86. Let a be i(-25). Suppose -a*g + 36 = -7*g. Solve -g*q = -11*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 316 - 317. Suppose 0 = -2*k + 3*m + 6, 4*m + m = 3*k - 9. Suppose 0 = -k*l + 3 - 12. Which is the closest to -1\/4? (a) x (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20733 (base 9) to base 5\nAnswer: 414334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.716 - 13.716. Let g = -7 - -10. Suppose 19 = k + 4*j, j + g*j = 20. What is the closest to x in k, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 640 - 283. Let p = 356.9479 - z. Round p to 3 decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109 - 42. Suppose -70*i + 14163 = -a*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5205.8 - 5206. Let u = -9 - -3. Which is the third smallest value? (a) u (b) f (c) -5 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*p + 6*p + 25. Suppose -p*x = -t - 19, x - 4*x + 27 = 2*t. Suppose 42 - 6 = 2*h. Calculate the highest common divisor of h and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**5))**16)**(-14))**29 assuming d is positive.\nAnswer: d**32480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*s, 2*s + 4*d + 44 = 44. Solve 4*k + 4 = s, 0 = -247*n + 249*n - 3*k + 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 (base 11) in base 13?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3894.501t in micrograms?\nAnswer: 3894501000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 - 19*t**2 - 9*t - 4. Let x(j) = j + 1. Suppose -b - f - 3*f = -3, 2*b - 19 = 5*f. What is the remainder when x(b) is divided by s(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) + 1*sqrt(99))*6 - (sqrt(99) - -2*sqrt(99)*-3))*4)\/((sqrt(324) - 1*(-2*sqrt(324) + sqrt(324)))*6).\nAnswer: 17*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13338970?\nAnswer: 2, 5, 199, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (8 + (10 - 6) + -23 - -11).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 8, -5, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 take away 28?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 471004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/3)\/((-4)\/70). Let q = w + 59. Let g = 116957 - 116959. Which is the second biggest value? (a) 1\/2 (b) g (c) q (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 4 - 2*o - o)*(0*o**2 + 38*o**2 + 15*o**2) as m*o + d + v*o**3 + l*o**2 and give v.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -15. Calculate the remainder when 7 is divided by (-78)\/(-18) + 2\/i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8d - 1108?\nAnswer: -106a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20321, 20533, 21107, 22223, 24061?\n\"Answer: 30*o**3 + o**2 - o + 20291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*o + 10 = -4*z, o - 2 = 5*z. Let c be z - (-3)\/6 - 6159993\/(-14). What is c rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 2. Let q = k - -8. Let a = 14 + -11. Solve -q*d + 3*t = -20, t + 12 = a*d - 0*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4*i = 103 - 39, 5*i = -3*w - 48 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 0.079314\nAnswer: -0.475884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -752993\/11 + 804658\/11. Let x = -4705 + s. Which is smaller: -8 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 divided by 207881?\nAnswer: 195\/207881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1952967 rounded to three dps?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*a - 2*v - 14 = 0, a = 4*v + 24. What is the second smallest value in 5, 0.9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 12*m + 5*m = -2*m - 98, 4*z + 115*m + 27 = 112*m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/80 + -37\/400. Let c be 6\/(-4)*2\/3. Are s and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s + 9. Let k(r) = 1 - 3 - 4*r - 3. Let g = -3575 + 3569. Calculate g*m(f) - 11*k(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 - 90 - 93 - 94 + 365 - 3*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Let i = 1313\/2205 + 2\/441. Put 0.3, i, n in ascending order.\nAnswer: 0.3, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10120 and 1320.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3 - (-3)\/9. Let y be (0 + 1)\/o - -2. What is the second derivative of -2*q + 2*q**3 + 0*q**3 - 3*q**y wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 10*d**2 + 11*d + 7. Let n be u(9). Let r = 55 - n. Let g = 65 - r. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5685425 (base 9) to base 14\nAnswer: 59c0d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v + 6. Let r(j) = -6*j - 6. Let t(a) = -4*q(a) - 3*r(a). Let w be t(-7). What is the greatest common divisor of 72 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*v + 4*v + 2*v)*(-1 + 2 - 2) + 1 - 1 + 2*v + 0*v + 3*v - 5*v)*(-4*v**2 + 20 - 20).\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 3*o + 352. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/135, 1\/4, -0.3, 0, 7, -0.4 in increasing order.\nAnswer: -0.4, -0.3, 0, 1\/135, 1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-3))\/(6\/(-262962)*-7). Let x = d - -3137. Suppose -x = 9*o - 15*o. Does 35 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4034, -4033, -4032, -4031, -4030, -4029?\n\"Answer: k - 4035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(88) - 1*sqrt(88)*-1)*4)\/(sqrt(88)\/(sqrt(44)\/sqrt(4)) + -6*(sqrt(8) + sqrt(32))).\nAnswer: 12*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182 and 121680.\nAnswer: 851760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -173 + 176. Solve -4*n + v*w = -12, 3*n + 2*n - 2*w = 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Let g = 5514 - 5513.8. Sort 0, -0.064, 2\/7, -1\/4, g.\nAnswer: -1\/4, -0.064, 0, g, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + (0 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1, -5, -2, 451 in decreasing order.\nAnswer: 451, 4, 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = 3. Calculate the lowest common multiple of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/430 and 31\/549790?\nAnswer: 23640970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128886803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -64, -30, -68, -214, -504, -974?\n\"Answer: -6*j**3 + 76*j - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 13. Suppose 0 = -x + 2*h + 2, -2*x + 2*h + 9 + 3 = 0. Let l be p(x). Is l + 140\/(0 + 4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 0*a**2 - a**2 + 0*a + 3*a + 0*a**2 + 10. Let j be o(5). Suppose 3*n - 41 - 31 = j. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15722 is divided by 107.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3) + 16644\/(-1314)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + 1594?\nAnswer: 15a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + p + 21 = 0. Suppose -67 - p = -10*n. Does 24 divide ((-36)\/n)\/(48\/(-224))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1823416 is divided by 911634?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 9:51 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/12 - 4161066\/24. Let t be 15\/(-76040)*(0 + j\/(-39)). Let o = t - -22\/1901. Find the common denominator of o and -97\/2.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 6:41 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/2 + 49*z**3\/2 - 3*z**2\/2 - 149*z\/2 - 49.\nAnswer: (z - 2)*(z + 1)**2*(z + 49)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 11. Let x be y(6). Let m be (1 - 1 - 8)\/(x\/60). Suppose n - 3*n + m = 0. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 14 = 2*u, -u - 3*s - 16 = -6*u. What is the derivative of -10*c**2 - 25 - 8*c**2 + 4*c**u wrt c?\nAnswer: -28*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3791, -7542, -11265, -14954, -18603, -22206, -25757, -29250?\n\"Answer: s**3 + 8*s**2 - 3782*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11.654937ns?\nAnswer: 0.00000000019424895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3 - 218*o**2 + 149464*o - 1034880 = 0 for o.\nAnswer: -336, 7, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q - 3*q + 2*q + (-2 + 5 - 1)*(-3*q + 2*q + 0*q))*(-38 - 28 + 223 + (3 - 5 + 1)*(-2 + 0 + 3) - 1 + 0 - 1 - 3 + 3 + 1) as m + f*q and give f.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/132564 and 149\/662820.\nAnswer: 662820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -14*j + 489. Let g(l) = 5*l - 163. What is -6*d(s) - 17*g(s)?\nAnswer: -s - 163","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**3 - 7*u**2\/2 + 5*u + 16. Let h(s) = -s**3 + 4*s**2 - 2*s. Let z be h(2). Does 8 divide v(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 + -30130712\nAnswer: -30130713.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 5*r + 5. Let v(z) = 2*z**2 + 9*z + 9. Let w(u) = -3*v(u) + 7*x(u). Let g be w(-7). Let p = -0.7 - 0.3. Which is greater: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12\/(-6)*1\/(-1) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 384 and -1*(-632 + 7 + -17 + 2).\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Let b be 5\/((-1)\/(-2)*q). Let g = 15 + -15.3. What is the closest to 1 in b, g, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49213, 98417, 147595, 196747, 245873?\nAnswer: 294973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppbhwpphpppp. Give prob of sequence ph.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w + 55*w**3 + 5 - 28*w**3 - 14*w - 6*w - 26*w**3 as k*w + g*w**2 + b + q*w**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 18*j + 5*z - 2885, -5*j - 3*z + 7260 = 0. Solve -j*c = -1467*c - 60 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 1:24 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 - 86400*n**3 - 829353582*n**2 - 2652548687976*n + 7965112579209.\nAnswer: -3*(n - 3)*(n + 9601)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 13 = -5*b + 5*l, -5 = 5*b - 2*l. Let v = 5 + b. Suppose -6 = -4*p - v*o + 10, 3*o - 20 = -4*p. Calculate the smallest common multiple of 3 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3262 and 12?\nAnswer: 19572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2. Let k(s) = s - 6. Let v be k(8). Let w be v - (-3 + 1) - 2. Let u(d) = -4*d**2 + 4*d**2 - d**w. Calculate u(b(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16396, -28855, -41314?\nAnswer: -53773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -4 (c) -0.01833 (d) -27\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00308437598 rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -883292\/9 or -98144?\nAnswer: -98144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 - 35*n**2 - 346 + 348 - 7*n + 42*n to the form q*n**3 + c*n + p*n**2 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 34 = -8*p + 5*s, 3*s + 18 = 2*p. Calculate the lowest common multiple of 1542 and p.\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2241 * 871.\nAnswer: -195.1911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 111205920737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17659 and 0.1.\nAnswer: -1765.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 727341390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 13*t**2 + 3*t - 1. Let p be v(3). Suppose -p = 7*m - 8*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -561.000493 + 561. What is i rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -27*b - 41. Does 22 divide a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*v - 39. Let y(k) = k**3 - 11*k**2 - 29*k + 27. Let i be y(v). Let r be i\/(-54) + 86\/18. Solve -r*p = -2*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1 = 9. Let d(a) = -3 + 1 - 6*a - a**3 + 6*a**2 + 1. Give d(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -58. Let o(s) = 9 + 5 - 1 + j*s - 2. Let r(d) = -d - 1. Let u(n) = -2*o(n) - 22*r(n). Let q(p) = -5*p. Give q(u(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from mkkk?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -145e?\nAnswer: -1461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 10675*r - 38 - 3716*r + 11 + 31 as b + x*r and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1811.052 micrograms?\nAnswer: 0.001811052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.168 at least -5.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1250*a + 2496*a - 1243*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -83*t - 5. Let p(o) = 97*o + 6. Let y(w) = -6*p(w) - 7*q(w). Let f(h) = 25*h + 1. Give -f(g) - y(g).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 z when three letters picked without replacement from {v: 1, s: 2, y: 2, h: 1, q: 2, z: 10}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*c + 22. Suppose -4*j = 2*v + v - c, -6 = -3*j. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -5\/3, 2\/7, -7\/2, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 83 - 29 - 5*q - 32.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**4\/18 + 68*l**3\/27 - 552. Factor m(h).\nAnswer: -2*h**2*(h - 34)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Let i(y) = -2*y + r + 4*y - y + y**2. Let l be i(0). Solve d - 3*d = l*f + 6, -3*f - 16 = -4*d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -232960 by -280.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*h - 18 = -3*m - 2*h + 20, -13*m - 24*h + 128 = 4*h for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 95. Let x = r - 8. What is the lowest common multiple of 12 and x?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5924 + -2989. List the prime factors of y.\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.11+6.8\nAnswer: -3.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a. Let f(b) = b**2 + 13*b. Calculate y(f(u)).\nAnswer: 3*u**2 + 39*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*b**2*q - 1224*b**2 + 349*q wrt q?\nAnswer: -3*b**2 + 349","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 203789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = j + 8, -j = -8*l + 3*l + 56. Calculate the greatest common divisor of 96 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9516 divided by 2379.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 6.1. Let t = 0.14 - k. Let s = t - 0.13. What is s rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.012, 2\/9, 1125?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -34. Let d = m + -39. Let y(n) = n**3 + n**2 + 17. List the prime factors of y(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 9. Let n be g(5). Let a be (-1 - 5)\/((-1)\/n). Suppose w - 10 = -4*w + 5*f, -5*w + 2*f = -1. Put w, 3, a in decreasing order.\nAnswer: 3, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 0*o + 1\/30*o**5 + 0*o**3 + 0 - 1\/8*o**4 + 2*o**2. Find the second derivative of l(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3110 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 154 times 19.2\nAnswer: 2956.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/37390418 and 17\/8628558?\nAnswer: 112171254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 390074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/21 + (-1)\/3. Let a = -0.9184 + -0.1286. Let k = a + 0.047. What is the closest to k in i, -0.1, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 301023210301?\nAnswer: -301023210232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18967, 4, 0 in increasing order.\nAnswer: -18967, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1650 - 1?\nAnswer: -1651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1920)\/2560 + ((-261)\/4)\/(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-29)\/(-5) + 28\/(-35). Suppose w*p - 10*p = -1570. Let j = -187 + p. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/(-18) - (-2 + 15059\/8349) and 139\/198.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/672*-30)\/(3*(-7)\/(-42))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -34?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1045\/33)\/19)\/((-5)\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283061 is divided by 4881.\nAnswer: 4844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30908.3 + 225404.3. Let u = -194348.917 + q. Let t = u - 147. Round t to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001 (base 2) to base 16.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*u + 111*u = -20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/(28\/4) - -150. Suppose j + 145 + i = 3*m, 472 = 5*m + 2*j. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/18)\/(16\/336).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -111.\nAnswer: -8\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 9:41 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gjgea?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14580 and 2673.\nAnswer: 160380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47228080, 47228082, 47228084, 47228086, 47228088, 47228090?\n\"Answer: 2*i + 47228078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*44\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 21357.03943 to the nearest integer.\nAnswer: 21357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*v + 6*v. What is the least common multiple of 4 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**3 + 3*y**2 + 3*y. Let a(w) = 8*w**3 + 4*w**2 + 4*w. Let h = 1055 - 1050. Let u be 4\/2 - (15 - 14)*h. Let g = 5 + -1. Determine g*v(i) + u*a(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a. Let g(x) = 4191122 + 9*x - 4191122. What is 4*g(j) - 3*w(j)?\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -1060?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1517367050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 164911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27822?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 10*m - 7. Let f be i(-11). Suppose f*n - 11 = 9. Suppose -r + d - 5 = 0, -4*d + n = 5*r + d. Sort 4, r, 6 in descending order.\nAnswer: 6, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 10:13 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 4*z. Let m(f) = -10*f**2 - 35*f. Let s(g) = -4*m(g) - 35*w(g). Let v(c) = 0*c + 0*c + c. Calculate s(v(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + -5. Let y = z - -43.043. Round y to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.92696366 rounded to 3 decimal places?\nAnswer: 1.927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.23 - -0.73. Let x = 19141\/5 - 3797. Let j = x + -31. What is the smallest value in -0.5, j, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1 + 11 - 9*p - 8*p wrt p?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2) + 0) - sqrt(16)\/sqrt(2) - ((2*sqrt(120))\/sqrt(5))\/sqrt(12).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-18)*(-2 + 4250). Suppose 38*n = 34*n + q. List the prime factors of n.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttt. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n**3 + 13*n**2 - 8*n - 8. Let t(o) = -8*o**3 - 14*o**2 + 8*o + 10. Let l(j) = 6*t(j) + 7*y(j). Calculate l(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1251*b + 1242*b - 2487*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccc. Give prob of picking 4 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 7*t + 7. Let o be v(-6). Let c = -45.5 - -48. Let k = c + -3. What is the nearest to 7 in k, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 25 = -3*p. Let g(s) = -s**2 - 6*s. Let a be g(-6). Find the second derivative of 6*v**5 - 4*v**5 + a*v**p + v wrt v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(sqrt(216)\/(sqrt(12)*-1) - sqrt(18)) + (sqrt(72)*-1*-6)**2).\nAnswer: -7776 - 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024010892 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35332220.\nAnswer: 2, 5, 7, 11, 22943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/10 - (251\/330 + 710\/(-11715))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 508754 + 1850085. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**2 - 796*c - 29002. Determine v(-151).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/59, -1, 60, 0.1 in decreasing order.\nAnswer: 60, 0.1, 2\/59, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 89 = 417. Let f = -156 - -107. Let l = k + f. Let n(u) = 2*u**2 + u. What is n(l)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23414 - 201?\nAnswer: -24120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1214023 (base 5) to base 9\nAnswer: -34510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 11:27 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 3*v - 27, 3*q + 2*v + 32 = 0. Let p be q\/(-5)*(-14 - 1). Is ((-18)\/p)\/((-2)\/(-890)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10.1, -3, 3\/8, -1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28215 and 72903?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 749926 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t. Let c(h) = 3044*h**2. Determine c(v(k)).\nAnswer: 27396*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 4 - 2*f - 20 in the form i + l*f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 (base 2) in base 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288 divided by -4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f - 7*f + 0*f. Let q(w) = 11*w + 0 + 0. Calculate q(i(y)).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050418281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34097\/3 + -11364. Determine l so that -4\/3 - 1\/3*l**2 + w*l = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/252*-7)\/(2\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001854377 rounded to 6 decimal places?\nAnswer: 0.001854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 6*b - 26. Calculate m(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (12 + -5) - (-2 - 0 - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 4:11 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(342) - (sqrt(342) - (sqrt(342) + (sqrt(342) - (sqrt(342) - sqrt(342)*-2))))) - sqrt(342))\/sqrt(9))\/(2*sqrt(2)*-1 + sqrt(18)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6196535?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 7. Let c = f - -29. Let v(p) = 5*p**2 + p - 1. Let h be v(1). Solve c = 3*m + 4*r, -4*r + 15 = -h*m - r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/8610*-20*(-3)\/3.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*l)*(-12*l + 1725*l + 969*l).\nAnswer: -5364*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 4*b**2 + 5*b + 2. Let c(l) = 6*l**2 + 2*l - 3. Let d be c(1). Calculate the least common multiple of 6 and h(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59818?\nAnswer: 2, 11, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366689.\nAnswer: 23, 107, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4*1\/(-15)*2358\/1048?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50713 + 35053. Let i = y + 15630.9696. Let u = -29 - i. What is u rounded to three dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcm when three letters picked without replacement from mmcmmmaxmxaaammm.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -21?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144 - (-374148)\/2565)*15\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of (0\/(-59) - (-5)\/1) + 15505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 6*s**2 + 10*s - 4. Suppose -2*g = -3*g. Let c be -1 + g + 11 + -3. List the prime factors of p(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 - 5 + 5)*(-4*o - 1 + 1 - 24*o - 8*o - 5*o + (1 - 4 + 1)*(3*o + o - 3*o)).\nAnswer: -129*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from hhhhhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 484 and 847?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1900 and 5130?\nAnswer: 51300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (166\/2324)\/(1\/4). What is the nearest to -1\/2 in -4, y, 6, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1848175 divided by -10561?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 - 116*q - 791. Calculate v(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1613724*-0.7.\nAnswer: -0.11296068","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Convert 414160.8 litres to millilitres.\nAnswer: 414160800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, 0, 9, 3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + (-137 - -141 - (0 - -12)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 21*r + 30. Let y be u(-8). Let i be 54\/152 - y\/(-95). Let p be 10\/(-9)*2 - -2. Which is the closest to i? (a) p (b) -8 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-12)*(-27)\/(45\/(-5))*1\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887032223?\nAnswer: 7, 11, 11519899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.46588163 and 0.038?\nAnswer: 3.50388163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 p, and 2 r when four letters picked without replacement from pppvprvppvprrrv?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*i, -u - 5*i = -0*u - 161. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 12:08 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 107*k**2 + 3*k - 9. Suppose -3*i - 14 = s, 0*s - 4*s = -i - 9. Is t(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhg when three letters picked without replacement from {j: 2, g: 1, d: 4, h: 9, b: 4}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 - 0.3. Let y = 0.9 - o. Let h = 0.13 - 0.53. What is the nearest to 1 in y, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 30. What is r(-29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3574375580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 196*n*q**2 - 4*n*q + n - 4*q**2 - 18*q + 41 wrt q?\nAnswer: 392*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175126956 + 175126956 - 2*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15004*i**4*t**3 + 10421*i**2 - 2*t**3 + 17*t**2 - 48269*t wrt i?\nAnswer: -60016*i**3*t**3 + 20842*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-26313)\/(-49) - (-2)\/2?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 48 = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.06 - -10. Let a = 1.06 + f. Which is greater: a or -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2669087?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 4c3?\nAnswer: 4bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 3:54 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1366476 and -3\/455492.\nAnswer: 1366476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1094*b**4 - 4*b**3 + 42457*b**2.\nAnswer: -26256*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -187.6 and -0.46175.\nAnswer: -188.06175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**3 - 2*w + w + 4 + w to y*w + a + d*w**2 + x*w**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1410 = l, -3*l + 1606 - 192 = j. Let p = 2451 - j. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338886 is divided by 4401.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 12) to base 2.\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**4\/12 - 5*y**3\/6 - 2*y**2 - 19*y. Calculate r(-8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/p**(-1))\/(p\/p**(7\/4)))**(-19) assuming p is positive.\nAnswer: p**(-361\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -60, -137, -256, -423, -644?\n\"Answer: -q**3 - 12*q**2 + 2*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 470 and 770785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4 - 159*r**3 - 309*r**2 - 153*r = 0. Calculate r.\nAnswer: -51, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*g*r**2*u + 8*g*r*u**2 - 3*g*r*u - 7*g*u - 5*r**2*u**2 + 2*r**2*u - 1132368*r*u**2 - 367*u wrt u?\nAnswer: 16*g*r - 10*r**2 - 2264736*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2948863 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 956 is divided by 949?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 19*m**2 - 94*m - 2. Let i be t(-11). Solve 26 = -38*f + i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13538670 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -6\/41, 5, -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**7\/168 - v**6\/72 + v**3 - 4. Let k(n) be the third derivative of w(n). What is the third derivative of k(j) wrt j?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvfphvvpvfpbsppp. What is prob of sequence bpv?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 338 - 332. Find the second derivative of 3*z**3 + 63*z - m*z**3 + 3*z**3 - 119*z**4 - 87*z + 3 wrt z.\nAnswer: -1428*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 6, 16, -1256?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1124*z - 648*z - 261*z)*(1 + 5*z - 1) to the form a*z + d*z**2 + p and give d.\nAnswer: -10165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyoy. Give prob of picking 3 y.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 3:19 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -53*s. Let f(b) = 9*b**2 - 25827. Calculate a(f(l)).\nAnswer: -477*l**2 + 1368831","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iceqejj. Give prob of sequence qjj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31, 56, 103, 172, 263, 376?\n\"Answer: 11*a**2 - 8*a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 8. Let a be x(10). Let p(r) = 81 + 3*r**a - 81. Let n(y) be the second derivative of y**4\/12 - 2*y. Determine p(n(d)).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-101)\/(-2) - 7\/14. Suppose s + 0*s - a = 0. Let g be (-2)\/(-5) - 6620\/s. What is g rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25\/9, 0, 3.5 in ascending order.\nAnswer: 0, 25\/9, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 4:16 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*s**4 + 12*s**4 - 2*s**2 - 7*s**4 - 1 in the form l + o*s**2 + r*s**3 + i*s**4 + x*s and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**3\/6 + j**2\/2 + 3*j. What is r(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102 + 13?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2 - 1 + 4 - 4 + (0 + 3 - 4)*(1 + 0 - 2))*(-2*a + 8*a - 3*a)*(-31*a**3 + 68*a**3 + 75*a**3).\nAnswer: 336*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**10)\/(s**(-9)\/s)*s**9\/s**(-1\/7))**(-1\/14) assuming s is positive.\nAnswer: s**(-71\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/44? (a) -2\/3 (b) 28 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5548, 10913, 16476, 22237, 28196?\n\"Answer: 99*h**2 + 5068*h + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 76*v - 159*v + 83*v + 8*v**3 to k*v**2 + x*v**3 + u + y*v and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 4*m**2 + 2240*m - 15716. Determine z(7).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 372 and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/13806 and 26\/927.\nAnswer: 1422018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 3, 1, 0, 92, 525 in decreasing order.\nAnswer: 525, 92, 46, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2584769.5 * 3.6.\nAnswer: 9305170.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 814 and 122?\nAnswer: 49654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 186054.\nAnswer: -9302.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/((-3477)\/244))\/(8\/30).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12366*t - 20*t**2 + 6*t**3 + 20*t**2 + 24731*t - 12365*t.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10992 and 52?\nAnswer: 142896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14430 is divided by 314.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from {n: 1, i: 2, l: 1, b: 9}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126 - 56 - 67) + -1 + 0 - 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19242, 42594, 65946?\nAnswer: 89298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9317*a + 768 = -9365*a for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5*r - 5 = 10*y, -25 = 3*y - 2*r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 2. Let t(a) = 52*a**3 - 3*a**2 - 2*a + 7. What is 4*p(y) - t(y)?\nAnswer: -52*y**3 - y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*v - 146*v = -3*a - 76*v + 32, -4*v + 90 = 5*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 222923720 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: What is the ten thousands digit of 54840713?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -24, -1 in decreasing order.\nAnswer: -1, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -1.8. Let s be 2\/(-3) + 8*(-65)\/(-420). Which is the closest to t? (a) 0.1 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2419*k**5 + 24*k + 59?\nAnswer: 48380*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q = 28 + 35. Let h = 12 + -18. Let g = 9 + h. Solve 2*j = 2*d, -g = -d - 2*j + q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzpq when four letters picked without replacement from qjzzfdjdp?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.09, -80, -5?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 275098 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 81649.\nAnswer: 2449.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 1903, 1, 11 in increasing order.\nAnswer: -2, -1, 1, 11, 1903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/106662 and 31\/696.\nAnswer: 426648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0914 times -0.5\nAnswer: -0.0457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzvvzzzzzvzvvzvzzvv. Give prob of sequence zvv.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11*r - 84. Let n(k) = 99*k + 770. Let a(l) = -6*n(l) - 55*y(l). Let g(i) = -78*i. Determine -45*a(m) - 6*g(m).\nAnswer: -27*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1906916 and 98083?\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -220 - 3?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 9)*(-m**2 + 51*m - 51*m) as a*m**2 + b*m + w and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -61*c**2 - 1301*c - 251. What is r(-21)?\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3 + 4\/(-12). Let t = 0 - x. Suppose -2*k = t - 5. Solve 0 = -0*p + k*p - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*z**3 + 5*z**3 - 2*z**3.\nAnswer: 37*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (13 - (1 - -15))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 44044 (base 8) to base 5\nAnswer: 1042333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1000?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*r - 28 = 0, 0 = 2*b - 5*r - 46 + 29. Suppose -3*s + 0 = -6. What is the least common multiple of ((-2)\/6)\/(s\/(-42)) and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*w - 1 = 35, 3*s - 4*w = 128. Suppose -n = 5*m + 13 - s, -5*n = 4*m - 9. Solve -m*u = -2*u - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/168 and (9202\/428)\/(((-72)\/20)\/(1\/10))?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12260472 divided by 69\nAnswer: 177688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.5 + 0.5. Let w = p - -4. What is the nearest to -1 in 5, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487.4 less than -1337848720?\nAnswer: -1337850207.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -219548 divided by -7\nAnswer: 31364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 1101*r + 71326. Calculate a(-75).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express l + l - l**2 + 0*l**2 + (166*l**2 + 153*l**2 + 15*l**2)*(4 + 1 - 2) in the form x*l + k*l**2 + v and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1168 = -5*d + 77. Suppose -15*u = -d - 36. Calculate the remainder when 92 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 3. Suppose 11 = 3*w - g. Suppose -4*q = -2*q + 3*f - 414, w*q + 2*f - 1013 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71982114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3227\/723 + -49\/241. Let o = 1 - 1. Which is the third biggest value? (a) o (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455186 + 38314 = 3*a + 2*n, 0 = 5*a - 6*n + 694824. Round a to the nearest 1000.\nAnswer: -139000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6359 by -53.\nAnswer: 6359\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 872873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 13 = 5*o, -8*w + 3*w = 3*o - 47 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bec1 - -90?\nAnswer: -be31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7e135e (base 16) to base 5\nAnswer: 4103344434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/6*49*-1 and 20\/3*((-4 - (-573)\/45) + -9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3120)\/1820 + (-1245)\/(-28) + 10\/8?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-8 - -10 - 8) - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 404 - 239. Let r(t) = t**3 - 28*t**2 - t - 99. Let m be r(28). Let q = s + m. What is the remainder when 149 is divided by q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7031*f**2*w**3 + 2*f**2*w + 2*f*w**3 - 2*f - 40*w**3 - 27*w**2 + 53*w + 2 wrt w.\nAnswer: -42186*f**2 + 12*f - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, j: 6}. Give prob of sequence yyy.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.792 - 6833.\nAnswer: -6833.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 6*z + 384 - 338, 4*z = -2*j + 44 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24278562 and 383115.\nAnswer: 24661677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 10. Let l be b(10). Suppose -r = -k + 17, l*k + 4*r = -4*k + 76. Is (-9)\/k - 438\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + w + 3*u = 0, w - 7*u = -2*u - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.101171538 - 5\nAnswer: -5.101171538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 4185903*o**2 - 1460150753400*o - 1460146567500.\nAnswer: -3*(o + 1)*(o + 697650)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 63?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -30\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 42*o - 1593813. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3518536186 to the power of 1\/3, to the nearest integer?\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*sqrt(1600))\/(sqrt(320)*-1*6) + -1.\nAnswer: -4*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-174)\/696*42\/(-15)*3\/42*-8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mam when three letters picked without replacement from {a: 2, m: 2, k: 2, l: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2168832 divided by -5.\nAnswer: -2168832\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2851, 16, -3, 5 in increasing order.\nAnswer: -2851, -3, -1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39626576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c = -7. Let f(y) = y**2 - 14*y - 15. Let v be f(15). Sort -3, c, v in descending order.\nAnswer: v, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -87395 + 78?\nAnswer: -87319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -8*s. Let q(m) be the first derivative of m**5\/30 + 2*m**2 + 4. Let r(z) be the second derivative of q(z). Give r(o(k)).\nAnswer: 128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/6*8)\/(12\/(-1528)). Suppose 3*y + 665 = 4*u, u + 335 = 3*u - y. Let q = u + a. Which is smaller: q or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t + 5*o + 86 = 0, -4*o = -3*t + 65. Calculate the remainder when t is divided by (120\/(-100))\/(1 + (-84)\/75).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001437720111 rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2456 or 2434?\nAnswer: 2434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 256 divided by 64\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62067109?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -l - 21923, -9*i = -i - l - 175356. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1\/4 (c) -1 (d) -935 (e) 3 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41826 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 1, l: 5, x: 8, d: 5}. Give prob of sequence id.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7577 (base 9) to base 15\nAnswer: -19bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1028664 divided by -3276\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 13 - 33 = -4*n, 3*p - n + 5 = 0. Solve 14*s - 51 + 107 = p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 19. Suppose u = m*u - 336. Does 33 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 169*t**2 - 11*t - 6. Let j(q) = -158*q**2 + 11*q + 5. Determine -4*j(r) - 3*l(r).\nAnswer: 125*r**2 - 11*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 8*t - 69520. Suppose -9*p + 2*j + t = -7*p, 0 = 5*p - 4*j - 15803. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64769868463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 2*(8 - (12 + -24))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*p - 67106 = 786*p for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1735\/6, -3.\nAnswer: -3, 1\/3, 1735\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 11 = 5*j + 37 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 11:24 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*w - 0. Suppose 3*p = -2*a + 1004, -p - 8*a = -12*a - 316. Let y be 1 + p\/16 + (-4)\/(-16). Sort y, -5, w in increasing order.\nAnswer: -5, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*t = 202 + 182 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4*f**3 - 1918*f**2 + 3 + 1918*f**2.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by 60412\nAnswer: 35\/60412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71 and 0.1.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-12) - (-315)\/(-54). Let g(m) = m**3 + 6*m**2 - m + 1. Give g(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230290951 divided by 230290951\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14845 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 154 = 4*s - y, 2*y - 192 = -5*s. Suppose 5*i - s = 72. Calculate the remainder when 61 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -c - 11, -4*c + 23 = h - 1. Let y be 235\/25 - h\/10. What is y rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/2769 and -105\/445328?\nAnswer: 94854864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/18, 1, 0.5, 2, -3303\/44?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*5\/3*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(2*p - 14*p - p).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 62 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h. Let y(g) be the second derivative of 0*g**2 - 1\/3*g**3 - 2*g + 0. Give y(c(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.509 (b) 3 (c) -3 (d) 0 (e) -14 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-8)\/(256\/(-6)) - 2\/24?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152239 is divided by 295.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364 = 106*b - 16*b - 536 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-7 - (-1 + 91\/(-14)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 354 and 73164366?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12581.9 - 12586. Is k greater than -0.157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**9\/8640 + i**8\/10080 - i**7\/2520 + i**6\/720 + i**5\/20 + 3*i**2. Let b(z) be the third derivative of w(z). Determine b(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/42 - -32\/21. Factor -3\/4*a**2 - m*a + 3\/4*a**3 + 0.\nAnswer: 3*a*(a - 2)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-22)*(-3)\/(-4*(-21)\/(-616))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5\/9 - 10*l**4\/3 + 98*l**3\/9 - 38*l**2\/3 + 44*l\/9 = 0. What is l?\nAnswer: 0, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1 (b) 2\/5 (c) 0.2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10344690, 10344677, 10344674, 10344687, 10344722, 10344785, 10344882?\n\"Answer: z**3 - z**2 - 17*z + 10344707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -121, -115, -105, -91, -73, -51, -25?\n\"Answer: 2*k**2 - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 6:34 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 - 5.01. What is the third biggest value in 2, -8, t?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 12:11 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*o = 2068*o + 3456*o - 274313 - 387671 for o.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115455 + 26554591\/230. Calculate the common denominator of v and -35\/92.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:27 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2494.51 times -304?\nAnswer: 758331.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 29. Suppose 2*l = -0*l - y + 319, l - 155 = -h*y. What are the prime factors of l?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/15 - (-44)\/10. Suppose -4*k - 2 = f*g - 57, -2*k + 17 = -g. Is ((-5)\/k)\/((-1)\/28) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -8*r**2 + 1. Let z(x) = x**3 + 13*x**2 + 13*x + 13. Suppose -34 = -3*y + 4*y. Let n = y + 22. Let o be z(n). What is t(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8429 - 8428.95298. What is m rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 19 - 11 = 4*s, 0 = 4*j + 3*s - 71. Let l = -159 - -465. Let y = l + -295. Solve g + 3*t = y, g - j = -0*g - 5*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 10 = -18*s + 11*s + 6*s, -15 = 60*s + 4*l - 127 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 11*x**2 + 1. Let l(r) = 2*r**3 - 12*r**2 + 1. Let y(u) = 2*l(u) - 3*n(u). Calculate y(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 62, 1, 2, -5, 6317 in decreasing order.\nAnswer: 6317, 62, 2, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3570*l - 192820. What is q(-54)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -482.8 * 0.3.\nAnswer: -144.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -469 (b) 2 (c) 7 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*g = -3 - 5, 5*r + 5*g = 35. Suppose r*k = -3*k. Suppose k*v + 4*v = 72. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 - 7 + 135*s**2.\nAnswer: 135*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 - 132. Let z = -8 - -12. Suppose -16 = -c*h, -z*h - 52 = -2*x + 114. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a - 2. Let o(d) = d. Let q(p) = n(p) + o(p). Let h be q(-6). Let r = h + 115. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3 = -1. Suppose -u = -5*p + 4. Let l = 3 + p. Let n(k) = -k**2 + 7*k - 5. Calculate n(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8930 times -10?\nAnswer: -89300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 121, 123, 127, 133, 141, 151, 163?\n\"Answer: f**2 - f + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**5 - 50*h**4 - 165*h**3 - 200*h**2 - 80*h = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -9. Let u = b + 4. Suppose 2*w = 3*w - 10. Solve u*l - 10 = w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122 - -121.7. Which is the second biggest value? (a) -0.4 (b) z (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 120?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -35.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (528\/(-99))\/(48\/9)*340\/(-4)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6 + 1 = 0. Calculate the remainder when l is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 12*c**2 + 13 - 13 - 3*c**2.\nAnswer: -15*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by -37\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**2 + 20*x - 25. Let y(r) = 14*r**2 - 59*r + 75. Let k(s) = -11*m(s) - 4*y(s). Let g be k(14). Does 10 divide 135*(g + (-52)\/20) - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 69 + 20660*q**2 + 46946*q**2 + 39.\nAnswer: 67606*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 397502040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -34811, 10, -4 in ascending order.\nAnswer: -34811, -8, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1020)\/153 - (-9 - -7)*7 - (-28)\/(-2)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 243 times 166373\nAnswer: 40428639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -176 + 261. Let g = 6 - 4. Suppose -v = g*u - 2*v - c, -4*v + 122 = 3*u. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 50411094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + j + 1)*(-2 + 1 + 3) - 10 + 3*j + 8 + 3*j + (-1 - 3 + 1)*(j + 0*j + 0*j) - j + 7 - 7 to the form w*j + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 8*t**2 + 7*t + 12. Let w = 164 - 161. Suppose -54 + 21 = -4*c - w*p, 0 = 5*c - 5*p - 50. Calculate q(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/45 + (-2554)\/(-10). Calculate the remainder when 1*4*g\/20 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110010101001 (base 2) to base 4.\nAnswer: -22302221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*z**3 - 136*z**2 - 130*z + 28.\nAnswer: 2*(z - 7)*(z + 1)*(11*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.034 and 0.7.\nAnswer: 0.0238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2899 - -2898.9. What is the nearest to z in 0.2, -5, -4\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -20*l - 2. Let s(g) = -g - 1. Let t(b) = -f(b) + 4*s(b). Let a be t(2). Calculate the greatest common divisor of 20 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**6\/150 - 7*w**5\/200 + w**4\/20 + 4*w**3\/3 - 9. Let r(i) be the third derivative of g(i). Factor r(m).\nAnswer: -3*(m + 2)*(4*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4123*43\/4816 + 3\/(-16)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0.0898195886\nAnswer: 4.0898195886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/3 + 8201*h\/3 + 65672\/3 = 0. What is h?\nAnswer: -8, 8209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9650*f - 40645. Give b(4).\nAnswer: -2045","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -18*m**2 + m**3 - 5*m**3 + m**3. Let o(z) = z**3 + 5*z**2. Let n be (22\/33)\/(((-16)\/30)\/(-4)). Suppose -10*h = -n*h - 25. Determine h*p(l) + 18*o(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**7\/420 - 7*j**6\/240 + 13*j**5\/120 + j**4\/16 - 3*j**3\/2 + 39*j**2 + 3. Factor i(q).\nAnswer: (q - 3)**2*(q - 2)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.765 + 0.365. Let z be 0 - (-2)\/((-10)\/(-1)). Sort z, q, 1.\nAnswer: q, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 198.3 and 1?\nAnswer: 198.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(-6*((3*(-2 + sqrt(612)))**2 - (3*(sqrt(612)*2 - sqrt(612)))**2) + 0)*6.\nAnswer: -5184 + 31104*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*o = 24, 2*l - 17 = -4*o + 5. Solve 0 = -163*b + 166*b + s - 7, -l*b + 6 = -4*s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 100?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2968 = -216*x + 223*x. Calculate the smallest common multiple of x and 8.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 182\/(-3) + (-8)\/(-12). Suppose 4*m + 17 = 1. Find the common denominator of 85\/18 and 1\/m - 205\/a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136*j**2 - 348*j**2 - 2 + 3 - 2*j**3 + 192*j**2 + j to v*j**3 + f*j**2 + l*j + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s + 16. Let f be p(-5). Suppose 4*h - 20 - f = -3*u, -4*h + 26 = 2*u. Let l be (1\/(3\/h))\/((-6)\/(-10)). Solve 0 = -l*r, -r - 2*r = 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/7 (b) 18 (c) -11.6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 628*o**3 - 6*o**2 + 10*o. Let z be f(2). Suppose -54*d + 64*d = z. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 times 0.3\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 2 (c) -5 (d) 3\/8 (e) -141\/7 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 662*c**5 + 7 + 61*c - 13*c - 551*c**5 - 4 wrt c.\nAnswer: 2220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24521.39 years to months.\nAnswer: 294256.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vszzxsvssv. Give prob of sequence zv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -32, -51, -70?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from tuf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -403 + 182. Let f = u + 219.988. Round f to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1729*q**3*w**3 - 4*q**3 - 2*q**2 + 2856*q*w**3 wrt q?\nAnswer: 10374*w**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6))**(-5\/14))**(-47) assuming d is positive.\nAnswer: d**(-705\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-12))\/l**(-16)*(l\/l**(2\/13))**(16\/5) assuming l is positive.\nAnswer: l**(2061\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 1 + 0 + 1 + 5*a**4 + 2*a**2 to the form j*a**2 + q + y*a + k*a**3 + h*a**4 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66004050 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-9))*b**24)\/((b**(2\/41)\/b)\/((b\/((b*b**(-4\/7))\/b))\/b)) assuming b is positive.\nAnswer: b**(4742\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - 3*f - 3 - 1370*f**3 + 1369*f**3 + f**2 as x*f**3 + h + w*f**2 + k*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5)\/j**24)**(-9) assuming j is positive.\nAnswer: j**(1098\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-165)\/(-25) + (-6)\/(-15). Suppose -q + 10 = -3*r. Let x = -19\/4 + 53\/12. Which is the nearest to -1? (a) 0.2 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1567 = -219*m + 9914 + 40052. What are the prime factors of m?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -95, -92, -89, -86?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 5*m. Let j(z) = -3*z**2 + 10*z - 1. Let y(q) = -5*f(q) - 2*j(q). Let t be y(-5). Let h be (-9)\/45 - 12\/(-10). Solve -t*k - h = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**3 + 78*j**2 + 3*j + 9. Let f(a) = -11*a**3 + 158*a**2 + 7*a + 23. Give -2*f(p) + 5*v(p).\nAnswer: -3*p**3 + 74*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)*f\/f**(-2\/11)*(f*f**0*f)**(-2\/13))**(-50) assuming f is positive.\nAnswer: f**(-33050\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 - 2*s**2 - 5*s**2 - 165*s**3 + 30148*s - 30143*s + 9*s**5 - 1 wrt s?\nAnswer: 540*s**2 - 990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*b + 98*b - 170*b - 13*b**2 + 14*b**2.\nAnswer: b**2 + 44*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 29*k + 74. Determine c(-12).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-364)\/13)\/(-7))\/((-1)\/(35\/(-7)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -281\/10 - -118\/5. Calculate the common denominator of p and 39\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -843126 - 2?\nAnswer: -843128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 193630517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57bb9 (base 15) to base 12.\nAnswer: 115833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101893?\nAnswer: 11, 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -22. Let x = g + -7. What is the second biggest value in x, 4, 0.05?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (3 - (-2 - -3)). Let g be (15\/9)\/((-2)\/t). Suppose -g*i + 2*i + 63 = 2*o, 2*o - 66 = -4*i. Calculate the remainder when o is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9882 rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -23371*x - 4557. Is d(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l - 66 + 14 = 0. Factor 38*g**l - 21 + 41*g**2 - 18*g - 64*g**2 - 60.\nAnswer: 3*(g - 3)*(5*g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3237598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5ab30 + -e?\nAnswer: 5ab21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*p**4 + 234986*p**3 + 20360*p + 402.\nAnswer: 360*p**2 + 1409916*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 11*o**3 + 42*o**2 + 109*o + 201. Calculate t(-2).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 0 = -3*w - 2*o, 4*o - 5 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 r when four letters picked without replacement from {j: 1, r: 3, i: 2, q: 6}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*n - 82, -b - 19 = -27. Suppose 4*f - 263 = -3*d + 84, -4*d = -f - 431. Calculate the remainder when d is divided by n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1675 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25151, -49993, -74835, -99677, -124519?\n\"Answer: -24842*h - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2)*(4 - 1 - 5)*(105*t**2 - 17*t**2 + 5*t**2) to g*t + k*t**2 + q and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11\/(-4))\/(249\/(-480072)). Round l to the nearest 100.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 14*m + 4*m**2 - 4*m**2 + 3 - 5*m**2. Let t be z(7). Solve -t = q - g, 10 + 13 = 4*q + 3*g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -20 + 9 + 8 + 16\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:22 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-7)\/(-63) + 520\/18 and 8.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*y**4 + 111*y**3 + 78*y**2 - 48*y.\nAnswer: -3*y*(y - 8)*(y + 1)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*v - 25. What is the remainder when 12 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18\/7*i**4 + 0 - 6\/7*i**5 - 108\/7*i + 90\/7*i**2 + 6*i**3 = 0. What is i?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2392.771ug?\nAnswer: 2392771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(401 - 401 - 12*s)*(s**3 + 2*s**4 - s**3).\nAnswer: 24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4985508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 divided by 5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*q = -380, 0 = -2*t - t + 4*q + 580. Suppose 3*f - 53 = 2*g + 49, 4*g - 5*f = -t. Let n = 26 - g. What is the remainder when n is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b13 (base 14) to base 11.\nAnswer: 16a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/75 of a century?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-21))\/(4992\/448)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - q**2 + q**3)*(2 - 2 + q) + (-2*q + 3*q + q)*(3*q + 2*q**3 - 3*q).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22\/4377341 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -39, -0.2, 3.8 in decreasing order.\nAnswer: 3.8, -0.2, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 69*m**4 - 107*m**3 - m**2 + 9776 wrt m.\nAnswer: 276*m**3 - 321*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*z + 2)*(6 + 6 - 6) as f*z + o and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0*z - 4*z)*(-2*z**3 - 2*z**3 + 2*z**3) + (-z**4 + 5*z**4 - 3*z**4)*(2 + 0 - 1)*(2 + 19 - 2).\nAnswer: 23*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 402 - -234. Let m = x + -1000. Calculate the remainder when 25 is divided by (m\/(-8))\/7*2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-63) - 2535\/819?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.7 + -5.16. Let j = -0.41 - m. What is the third smallest value in 1\/6, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i - 24745 = -126*i + 21667. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 23771?\nAnswer: -2376a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 2 = -10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 479.5095 nanoseconds in milliseconds?\nAnswer: 0.0004795095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a0 - -37a2?\nAnswer: 3b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6090*j**4 + 129*j**2 - 27*j**6 + 6090*j**4 wrt j?\nAnswer: -3240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -316. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1205 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - -81. Let o(u) = u**2 + 5*u + 3. Let k be o(-5). Suppose k*v = -v + q. Calculate the remainder when v is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**6\/120 + k**5\/60 - k**4\/12 + k**3\/6 + 16*k**2 - 3*k. What is z(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265364 a multiple of 652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5317377 tonnes in kilograms?\nAnswer: 531.7377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1, 4, 5, 79 in ascending order.\nAnswer: -1, 0.5, 4, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 3*f, 0 = -8*f + 10*f - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 149 - 141 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -710\/63 + 41\/9. What is the common denominator of g and 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 5. Let c be g(3). Does 3 divide c - (-3)\/3 - -10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30771, 30811, 30853, 30897?\nAnswer: 30943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:15 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 16 = 4*a, -4*z + 0*z = -2*a + 12. Let c(w) = w**2 - w - 4. Let d be c(0). Put z, -1, 2, d in decreasing order.\nAnswer: 2, -1, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 585709605 and 5980.\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from yylyylylylyyyyyyyyy.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/358 and 79\/8?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 23. Let o be (-20)\/((-1200)\/(-36)) + 86\/10. Calculate t(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 9. Suppose 0 = -189*m + 134*m - 440. What are the prime factors of (-3672)\/(-20) - (m\/w)\/(-4)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 3*u - j - 7, -u = 4*j - 16. Let h(v) = -v**3 + 13*v**2 + 13*v + 18. Let k be h(14). Put u, -14, k in decreasing order.\nAnswer: k, u, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38385 and 2385.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**5\/60 + 5*p**4\/108 + 2*p**3\/27 - 2*p**2\/9 - 236*p. Factor r(x).\nAnswer: -(x - 2)*(x + 1)*(3*x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178868?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) - (-76)\/3. Suppose -3*d - 5*c = -4, -5*d - c + l = -10. Let s = d + -4. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348 and 885063876?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 - 3*q + 6. Suppose 11*o = 388 + 580. Suppose 30*s = 22*s + o. Let b(d) = 16*d**2 - 16*d + 31. What is s*p(i) - 2*b(i)?\nAnswer: i**2 - i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 541926 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220780 and 2240?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1602, 3205, 4818, 6447, 8098, 9777, 11490, 13243?\nAnswer: 15042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x + 14. Give o(-16).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 2*i. Let x be v(-2). Suppose 9*k - 7*k - x = 0. Differentiate 8 - 44 + 11*c**k + 20 wrt c.\nAnswer: 22*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.02 (b) -8 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2277, -2506, -2737, -2970, -3205?\n\"Answer: -h**2 - 226*h - 2050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-5 - -3) + 13 + -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*z + 417*z**3 - 7 - 4 - 48*z**2 - 415*z**3 + 102*z**2 + 257*z**2 wrt z?\nAnswer: 12*z + 622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1606 - 1968. Sort 2, o, 3\/7 in descending order.\nAnswer: 2, 3\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 660 + 4*c**2 - 660.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-9 - -4) - (-3 + 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 21 = 49. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7425)\/(-10) - 4\/8)\/(38\/1121).\nAnswer: 7, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 4, -h - 21 = -3*y - 26 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26914 - 5ab?\nAnswer: -270c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73324, 147001, 220684, 294373?\nAnswer: 368068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -966377, -966375, -966373, -966371, -966369?\n\"Answer: 2*h - 966379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 15. Let j = o + 10. What is the highest common divisor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/70 - (-12)\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**4\/8 - 5*q**2. Let z(v) = 5*v**2 + 6*v + 6. Let k(n) = 19*n**2 + 22*n + 22. Let j(l) = 6*k(l) - 22*z(l). Give j(u(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -7187641 + 7187581.00017. Let r = -1.38 - 58.62. Let m = r - d. What is m rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(208) + -2 - sqrt(208))**2 + 2*(0 + sqrt(13)).\nAnswer: 1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7303 + 7330. Let b = 6 - -6. Calculate the lowest common multiple of v and b.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-21)\/(q**(-23)*q) assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4510\/15)\/(8\/12 + 0). Suppose -r - 7264 = -5*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1292*z = 1297*z - 165955. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -27 - 5. What is the third derivative of -8*t**6 + 45*t**h + 13*t**5 + 6*t**6 - 99*t**2 - 45*t**4 wrt t?\nAnswer: -240*t**3 + 780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 7:25 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 take away -16.92281?\nAnswer: 16.76281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*a - 14 = 8*a, 28 = 4*i - 4*a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 11230263?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 463*n + 11582. What is z(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 7*b**2 - 8*b + 3. Let t(o) = 2*o**2 - 28*o + 32. Let f be t(13). Determine l(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c4b3 (base 16) in base 4?\nAnswer: -230102303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x = -28*x - 3*b - 1, -5*x + 3*b - 19 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - q. Suppose 6*t - 2*t + 4 = 0. Let y(c) = c**2 - 9*c + 18. Let i(x) = t*y(x) - 2*a(x). Does 16 divide i(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529548 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 114.35 to the nearest integer.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2770318?\nAnswer: 2, 43, 32213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3155 (base 11) to base 5\nAnswer: 113144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*m - 5, -5*m - 2 - 2 = 3*y. Sort 5, m, -4, -5 in descending order.\nAnswer: 5, m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 20*s + 17. Suppose -2*w = 9 + 3. Let b(d) = 4*d**2 + 3*d - 3. Let t be b(1). Let p(c) = -c + t*c + 2 + 4*c + 4. What is w*n(r) + 17*p(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*g + 57*g + 255 = 0. Let s(v) = 7*v + 115. Let u be s(g). Put 1, u, -6, 2 in descending order.\nAnswer: 2, 1, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 4*o, 0 = 5*t - 4*o + 2*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560057789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -378, -377, -374, -369, -362?\n\"Answer: p**2 - 2*p - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 2. Let l be (-2)\/(-3) - 23\/3. List the prime factors of x(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 b, and 2 u when four letters picked without replacement from {b: 1, v: 4, u: 2, y: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 77 (b) -1002 (c) 5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -863*y - 12 = -869*y. Let b be ((-30)\/25)\/y*-10. Solve -b*d = 10 + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by -5.\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -4180.98\nAnswer: -16723.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9828\/1008)\/((-1)\/(-8)). Is 72 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {g: 5, f: 14, i: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/(2\/(-18)). Suppose -x + y*d = 43, 5*x = 2*d + 69 - 284. Let z = x - -73. What is the highest common factor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = -147*r + 152*r. What is the remainder when r is divided by 8*(-171)\/(-36) - (-3 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*x + 204 + 779 - 273 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 - 4)*(4*d**2 - 42*d - 6*d**2 - 9*d) + (0 + 0 + 1)*(-7 - 3*d**2 + 7).\nAnswer: -9*d**2 - 153*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -795309 (base 10) in base 11?\nAnswer: -4a3589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-8))\/(21\/6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 87 + -91 + 87 + 2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7170.113ug to tonnes.\nAnswer: 0.000000007170113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**3 - 5*d**2 - 4*d + 9. Let b = -51 - -55. What is the hundreds digit of r(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10 = 3*n - 17, 0 = -4*n - 4*u + 4. Suppose -5*b + 47925 = -n*x, -32*x + 36*x = 2*b - 19162. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -7159 (b) -35 (c) 1 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 57\/(-95) + (-86)\/(-135). Let y = g + 5\/27. What is the second biggest value in 3\/5, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r - 31. Let q(x) = -x + 8. Determine 2*p(j) + 9*q(j).\nAnswer: j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i**2 - i**2 + i**2)*(7 - 3 - 10) in the form z*i + r + q*i**2 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4011154093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 927110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyoc when four letters picked without replacement from {e: 6, y: 3, o: 3, c: 5, d: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {i: 4, h: 2, t: 10}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 46 = -4*c + 22, 5*c + 20 = 2*y. Suppose 4*x - 2*t - t = y, 2*t = -3*x + 7. Solve 0 = -x*p + 2*r + 5, -r + 7 = -4*p + 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 166714818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30942 and 37818?\nAnswer: 340362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and -10609 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264228746.\nAnswer: 2, 613, 215521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5620455 (base 9) to base 7.\nAnswer: -34466141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**2 + 2 + 40*a**2 - a**2 - 12*a**2 in the form x*a + n + g*a**2 and give g.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2580491?\nAnswer: 37, 97, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 709830, 1419772, 2129728, 2839704, 3549706, 4259740, 4969812?\n\"Answer: i**3 + i**2 + 709932*i - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*u + 29 = -0*u, -7 = -3*w - 4*u. Let g(f) = -6*f**2 + 5*f + 2. Let j(q) = -q**2 + q + 1. Calculate w*j(m) - g(m).\nAnswer: m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 855322 or 855257?\nAnswer: 855322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2596*s**3 + 6*s**2 + 7. Let c be o(-6). Suppose 4*h = -16, 3*n - 2875523 = -97*h + 93*h. Let k = c + n. Round k to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s + 6. Let m be k(-7). Suppose -m*v + 53*v = -4. Suppose 5*t - 51 = -3*o + 2*o, v*t = -5*o + 25. What is the remainder when 16 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.056 + -0.356. Suppose 454*w - 105 = 433*w. What is the second smallest value in -2\/5, -7, w, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d - 22. Calculate the remainder when 45 is divided by r(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1196584568*o**4 + 739607411*o**2 wrt o.\nAnswer: -28718029632*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.4, -3811\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3 - 8 = 9, -2 = -5*k - 2*k + k - 4*o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x = 13*x - 28. Let v be (-477)\/(-530)*x\/(-6). Put -0.4, 16, v, 1 in ascending order.\nAnswer: -0.4, v, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from {o: 1, k: 2, a: 1, z: 1, p: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 - v**4 + v**4 + (v**3 + 0*v**3 + 0*v**3)*(-1 + v + 1) - 6*v**4 - 6*v**4 + 3*v**4 - v**3.\nAnswer: -10*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -215158 < -860629\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -5) + (2 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 155316 or 9\/5?\nAnswer: 155316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76827420 divided by 4.\nAnswer: 19206855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05017 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.3 - 28. What is the closest to -0.1 in i, 2, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z + 0*z - 3*z - z + 3 - 3 + 5*z - z - 3*z + (-1 - 1 + 0)*(5*z - z - 2*z) - z - z + z + (0 + 2 - 1)*(-2*z + 10*z + 4*z) to m + s*z and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-56)*(0 + -47). Let d = -113\/21 + u. Solve 2 - 4*r**3 - 10\/3*r**4 + d*r**2 - 2\/3*r**5 + 14\/3*r = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12258955*o**2 + 4126780 wrt o.\nAnswer: 24517910*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = -4, 4*g = 4*m - 204. Let s = -471 - -475. Calculate the remainder when m is divided by 12 - (6\/(-8) + (-9)\/s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -1841 + 1816 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.6852 and 0.263?\nAnswer: -3.5992076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.094 and 0.13001 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.009 and 21.\nAnswer: 0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 + 1357*x**2\/2 - 487331*x\/2 + 52650767\/2.\nAnswer: -(x - 863)*(x - 247)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -3\/4 (b) 11 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125755.\nAnswer: 5, 7, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101 + 135. Let y be 2 - 0 - 17\/(h\/(-140)). What is the greatest common divisor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x - 773 = -3*v, -4*v + 1024 = 3*x. Let f be -3*1 - v\/(-175). Let s = f - 73\/100. Calculate the common denominator of -79\/10 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29661 - -10495?\nAnswer: 40156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1400 and -169\/600.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541 + 721 = 6*c. What is the smallest common multiple of 2\/4 - (-255)\/34 and c?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-6)*(-8)\/(-14). Suppose -w*n + 61078 = -8922. What is n rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 204*j**3 - 83 wrt j?\nAnswer: 612*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.86 (b) -1.2 (c) -4 (d) 3 (e) -1 (f) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27020 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*-3*(-3 + sqrt(117)*1*-3 + -1)*-4)**2.\nAnswer: 5971968*sqrt(13) + 88667136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + y - 5 - 5, 35 = 5*b + 5*y. Suppose 2*r + 5 = b*r. Solve r = -2*x - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.382084228 or -0.1?\nAnswer: -0.382084228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5 = -2*g - 29 + 1, 151*f - 3*g - 2*g = 20*f + 1688 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -2\/9 (c) 4444 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**2 - 40609*p + 202936. Calculate o(5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 3782.86?\nAnswer: -11348.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -521, -780, -1039, -1298?\nAnswer: -1557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2659 is divided by 140?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1169, -0.2, 3\/53 in decreasing order.\nAnswer: 1169, 1, 3\/53, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 64 + 60 - v.\nAnswer: -3*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*t**5 - 2 + 3*t**3 + 35*t**5 + 18*t**3 + (2*t**3 - 5*t**3 + t**3)*(-t**2 + t**2 - 2*t**2) + 3*t - 3*t - 2*t**5.\nAnswer: 4*t**5 + 21*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.9917 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*w**3 + 0 + 3 + 261*w**3 - 3 + 81*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**2. Let d(r) = -1910218*r. Give d(f(g)).\nAnswer: -13371526*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**2 - 9*q**2 + 7*q**2 + 10*q wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**7\/45 - 29*l**6\/90 - 8*l**5\/45 + 239*l**2. Find a, given that p(a) = 0.\nAnswer: -8, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11 and 320140.3.\nAnswer: 320151.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*x + 577 = 0, -33*x = -4*c - 28*x - 676. Which is smaller: c or -160?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -1) + 13\/13. Suppose k = -7*h + 13*h. Solve -4*u + 2 = -5*u + 3*d, h = -2*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2589?\nAnswer: 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -23. Calculate the lowest common multiple of 2 and (3 - 2)\/(1 - c\/36).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g\/g**(-14))\/g)\/g)\/(g\/g**(-25))*(((g*(g**(1\/5)*g)\/g)\/g)\/g)\/g**(-7\/4))**(-3) assuming g is positive.\nAnswer: g**(663\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.3 - -3.468. Let i = -17.232 - n. Round i to zero decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123760 divided by -221\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20557880250 plus -0.00208?\nAnswer: 20557880249.99792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 - 6*k - 3. Suppose -8 = 6*o + 10. Let y be i(o). What is the units digit of (-304)\/(-12)*y\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-10) + 1)*-22. Solve -o - 20 = 4*p, -i*o + 12*o = 3*p + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (231\/12)\/(-11)*-72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - m = 3*k - 13, 0 = -4*k + 4*m + 28 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132 or 0.1?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1738214 and -81\/7928.\nAnswer: 6952856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33951001 or 33951003?\nAnswer: 33951003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*(h*(h**(-4\/7)*h)\/h*h)\/h*h*h*h)*h*(((h*(h**(-1\/4)*h)\/h)\/h*h*h)\/h)\/h*(h*h\/((h**(3\/2)*h)\/h))\/((h*h**(2\/5))\/h))**(-2\/31) assuming h is positive.\nAnswer: h**(361\/2170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 270393*f - 270389*f - z + 5, 4*f + 5*z = 145 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*t - 12*t - 5*z - 3735, 6*z - 1470 = -2*t. Calculate the lowest common multiple of t and 837.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, b: 3, o: 4, p: 2}. What is prob of sequence ip?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(((-2)\/10)\/((-126)\/120))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 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 o(p) = -21*p**3. Let i(c) = 3*c**3. Let h be ((-30)\/8)\/5*20. What is h*i(y) - 2*o(y)?\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: c5 (base 16) to base 6\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 57 = 4*p. Suppose -3*b + 5*b - 6 = -4*m, -m + p = -3*b. Suppose 5*a = m*a + 1. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 122150 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 98, 244, 390?\n\"Answer: 146*y - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.26 + 0.56. What is the biggest value in 4, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + j + 50, j - 32 = -3*r - j. Suppose -2*l + r = l. Calculate the remainder when l is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49140759?\nAnswer: 3, 16380253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/40*(2 + -2). Suppose p - 3 = -y*p. Suppose 5 = -s + 3*x, x - p - 12 = -3*s. Solve 5 - s = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411980.\nAnswer: 2, 5, 20599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -46\/21, -26, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (65\/(-2))\/13*40\/25\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-2 - (-10 + -3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 5*y**7\/42 + y**6\/2 + 3*y**5\/4 + 5*y**4\/12 - 4*y**2 + 4. Let g(w) be the second derivative of r(w). Solve g(x) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k - 3*i = 25, -5*k + i = -30. Let t(z) be the first derivative of k - z**5 + 3 + 0*z**2 + 6*z**2 - 4. Find the second derivative of t(r) wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4*sqrt(242) + sqrt(242)) - sqrt(242))**2.\nAnswer: 8712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*p**3 - 77*p**3 - 23*p - 2*p**2 - 61 + 20*p + 144*p**3 as z + j*p + n*p**3 + x*p**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in millimeters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -163 or -58\/6945?\nAnswer: -58\/6945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1524, -1\/3, 4\/7, 0 in decreasing order.\nAnswer: 4\/7, 0.1524, 0, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697003?\nAnswer: 53, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 349 in -3\/89, 1, -132?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/7 (b) 1\/7 (c) 7 (d) 1\/85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**2. Let a(y) = 266871312*y. Calculate h(a(s)).\nAnswer: -213660891505804032*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**5\/60 + 10000*x**3\/3 - x**2. Let d be 12\/(-15)*-5 - 4. Let p be y(d). What is p rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1701.9923 and -36.9?\nAnswer: 1665.0923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286614, 1146417, 2579420, 4585623, 7165026, 10317629?\nAnswer: 14043432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -10.\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127750230 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*m + 9*m - 114, 0 = 7*p + 5*m - 286. What is the remainder when 153 is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -1. Let y be b\/1*(-2 - -1). Let s(j) = j**2 - 3*j**2 - 2*j**3 - 4 + j - 4*j. Let r(n) = -4*n**3 - 5*n**2 - 7*n - 9. Calculate y*s(g) - 2*r(g).\nAnswer: -2*g**3 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*l = -46, 3*l + 35 = -2*o - 18. Let m = 2 - o. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 59, 96, 159, 254?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7520 and 3302560?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sisiiioiioooioiiioio. What is prob of picking 2 o and 2 i?\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -211 - -1685\/8. Let a(j) be the second derivative of -j**5\/20 + 5*j**4\/12 + 5*j**3\/6 + 7*j**2\/2 - 2*j. Let q be a(6). Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0512 + 535.0512. Which is the third biggest value? (a) 0.3 (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u - 20. Calculate y(-11).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 8 + 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 884460 = -128*l - 21*l + 898019 for l.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**2 + 0*b**6 + 0*b**5 + 23\/2*b**3 + 0*b + 0*b**4 + 4 + 46\/105*b**7. Find the first derivative of f(q) wrt q.\nAnswer: 368*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**4\/24 + j**3 + j**2 + 2*j. Let o(t) be the first derivative of n(t). Does 6 divide o(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0026 - -242.9974. Let r = g + -244. Let p = 0.04 - 0.14. Which is the closest to r? (a) p (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**2 - 148*j - 790. Determine t(-43).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2229 is divided by 248?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -7*p - i - 5, 0 = 4*p - 4*i + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 723119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53688765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156862257 by 3.\nAnswer: 52287419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13655 is divided by 4377?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-5*t**4 + 2*t**4 + 2*t**4) + 0 - 2*t**4 + 0 + (-2*t**2 + t**4 + 2*t**2)*(1 + 1 + 0) + (12 + 0 + 13)*(4 - t**3 - 4)*(4*t - 3*t + t).\nAnswer: -49*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -1884\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-13600)\/(-48))\/(-34)*(-3 - 952497). Round s to the nearest one hundred thousand.\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 524, 0.12497 in descending order.\nAnswer: 524, 0.12497, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1006 - 1006. Let w(l) = l - 29. What is w(m)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 261 and 99?\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*r - 5 - 45, -4*r + 55 = 5*c. Let m(k) = -49*k + 0 + c - 5. Is m(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1417*g + 37030*g + 4679*g + 4724*g - 3*g**2 + 35*g.\nAnswer: -3*g**2 + 45051*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-5)\/(-30))\/(4\/(-170)) and -57\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r - 34*r = 0. Suppose r = 13*f - 8*f - 335. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*3\/(-1)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -363, -730, -1099, -1470, -1843, -2218?\n\"Answer: -p**2 - 364*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 0*p - 1\/15*p**3 + 5\/2*p**2 - 7 - 1\/50*p**5 + 1\/15*p**4. Let a(m) be the second derivative of y(m). Solve a(x) = 0 for x.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2*m - 375 = 0. Let l = -374\/5 + m. Sort -0.4, -2\/11, l.\nAnswer: -0.4, -2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 46935*s - 422420. Give a(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvvvttsttvtvststvsvv. What is prob of sequence svt?\nAnswer: 32\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -37, -86, -155, -244?\n\"Answer: -10*d**2 + d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9264588.\nAnswer: 2, 3, 211, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 - 59. Let m = l - 5. Calculate the remainder when m is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1481.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*p + 145, -n + 3*p + 106 = 11. Let s = n + 19. What is the greatest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 4:44 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**2 - 3*o**4 - 24*o**3 - 2*o + 4*o**2 - 12*o**2 - o**2 - 6*o**4 = 0?\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 40*v**3 - 6*v - 7. Let r be j(-1). Let l(s) = 10*s + 413. What is l(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + sqrt(405) + -1)*-3 + -4.\nAnswer: -54*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-10) - 8\/(-40). Suppose z + r*z + 9 = 0. Let t(y) = y**3 + 6*y**2 + 6*y - 1. Calculate the least common multiple of t(z) and 67.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-7))\/((-23)\/161)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*11\/(154\/(-12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 0 + 0 + (2*b + 4 - 4)*(2 + 1 - 5) - 2*b + 1843 + b - 1967 + 0*b as s*b + c and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1 - 3 + 8 + 6398*g + 6. Let n be f(5). What is n rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w = 4*u + 27*w - 11308, 11328 = 4*u - 3*w. Calculate the highest common factor of u and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(-1)\/4*(0 + -1). What is the third smallest value in g, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/108, 4, 3, 2\/1477?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + 18\/3 + -11. Solve b*a + 5*h = 5*a + 40, 5*h = 25 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42568.1 - 42568. Let a be ((-2)\/(-14))\/(12\/14). Sort g, -190, a.\nAnswer: -190, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + 10. Suppose 370 = -l*x + 3481. Calculate the remainder when 852 is divided by x.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4) + 1 + 377174\/(-232). Let c = l - -5658. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*1*sqrt(171) - (sqrt(171) + 0 + 5)))**2 + ((sqrt(171) - (sqrt(171) + 2 + sqrt(171)))*-6 + -4)**2*5 + -4.\nAnswer: 960*sqrt(19) + 34232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggdggggggggg. Give prob of sequence ggg.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 3*c**2 - 18*c - 5. Is o(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*u + 57*u - u.\nAnswer: 105*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/6*(-11)\/((-110)\/15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.42399 and -77?\nAnswer: 77.42399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*(n*n**(-14)\/n*n*n*n)\/n*n)\/n**(2\/3))\/(n**0*n**(-5)) assuming n is positive.\nAnswer: n**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 408 + 398 - 805 + 19*x in the form z + w*x and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1563 + -1515. Solve -12*s - g = -0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*a + 4*v + 8, -5*v = 3*a - 17. Solve 4*l - a = -2*g, -28 = -4*g - l - 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + 0 - (-15 - (9 - 22))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 158*p**4 - 358*p**3 - 1696*p**2 + 2400*p = 0.\nAnswer: -3, 0, 100\/79, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/10)\/((-84)\/(-30) + -5). Sort 3, -4, -2\/13, n.\nAnswer: -4, n, -2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 9\/17 (c) 2\/7 (d) -4 (e) 3 (f) -43\/9 (g) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-106)\/(-1) - (73 - -12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/sqrt(441) + (sqrt(140) + sqrt(140)*2)\/sqrt(4))\/((-1*sqrt(42)*-3 + sqrt(42))\/(sqrt(54)*2)).\nAnswer: 33*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 14. What is the remainder when m is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96765*l**2 - l - 96759*l**2 - l + 2*l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/16*6)\/(72\/(-1440))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzmhryyhhjhhy. Give prob of sequence hmh.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(7)*3 + 0.\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7664330.08 rounded to the nearest ten thousand?\nAnswer: 7660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -1 - (-6 - (-9 - -11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*r + (2*r - 4 + 4)*(2 - 4 + 0) + (2 - 3 + 3)*(r - 3*r - r) + 2*r - 4*r + r - 5*r + 3*r + 0*r.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 123620743 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 51, -3, -10, 8460 in decreasing order.\nAnswer: 8460, 51, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, p: 1, u: 3, l: 2, b: 1, h: 8}. What is prob of picking 1 p, 1 u, 1 b, and 1 h?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2639.\nAnswer: 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 1, -137, 0, -1, -24.\nAnswer: -137, -24, -1, 0, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1330 is divided by 91?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 3*v**2 + 5*v - 4. Let c be t(2). Let b(x) = -2*x + 1. Let f be b(-1). Suppose -6*l + l = 0, -f*n + 5*l = 12. Sort -14, n, c.\nAnswer: -14, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + -1 + -3)\/(-1). Let m(p) be the first derivative of -176249*p**2\/2 - 8*p + 1. Let j be m(a). Round j to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 443.9 + -4781.\nAnswer: -4337.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4487697 and 2341.\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/5 + 948*l**2\/5 + 1314432*l\/5 + 258757632\/5.\nAnswer: -2*(l - 1146)*(l + 336)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 7. Let v(c) = c**2 - c + 5. Determine v(m).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 1. Give s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 40*c**2 - 73*c - 116. Give m(38).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 12*m**3 + 26*m**2 - 19*m - 17. Is y(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7*-0.01.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 3\/2, -3, -22, -48, -1\/2?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(17) + 4)*2 + sqrt(34)\/(-5*sqrt(2)) + 6*(-2*(0 + sqrt(17)) + sqrt(17) + 0 + (sqrt(17) + 2)**2 + sqrt(17)).\nAnswer: 134*sqrt(17)\/5 + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185820*s + 690729*s + 355137*s + 430634*s + 45683*s.\nAnswer: 1336363*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -78, 33, 326, 861?\nAnswer: 1698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Divide 222004 by -4.\nAnswer: -55501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 223, 246, 269?\n\"Answer: 23*h + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.3 - -7. Let w = 1180467\/396032 - -1\/30464. Let i = w + -42\/13. What is the closest to -0.1 in 2, i, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/23775892 and 24\/101047541.\nAnswer: 404190164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*l**3*q**2 - 2*j*l**3*q + 6*j*l**2*q + 4*j*l*q + j*q + 35*l**3*q**2 wrt q.\nAnswer: 2*j*l**3 + 70*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 4*m + 35, 5*h - 4*m + 39 = -14 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327644 is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.3, -36, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = 9*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -86.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21280*t - 21276*t + 27 = -5*j, 4*j + 2*t + 12 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 38*d + 1982. What is the remainder when 226 is divided by o(-67)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 31918997.58752 and 47.\nAnswer: 31919044.58752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 225 + -223. Solve u*s + 0*s = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73516 - -271347. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*q - 4*q + 31, -4*f = -3*q + 7. Suppose 2*j + 1 - q = 0. Suppose 4 + j = 2*u, -4*w + u + 20 = 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9*u. Let t(k) = -k. Let m(o) = -p(o) - 6*t(o). Let q(w) = -w**2 - 4*w. Let n(i) = 3*m(i) - 2*q(i). What is the second derivative of n(r) wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 672 - 624 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 + h**4 - 11*h + 71*h - 28*h - 5*h**2 to v*h**2 + u*h**4 + m + i*h**3 + n*h and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -53*r + 54*r + 12 - 13. Let o be j(6). Solve -2*k - k + 10 = -w, -3*w - o = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**3*u**4 + 3*m**3 - m**2*u**2*w**2 + 15*m*u**6*w**3 + 15*m*u*w**3 wrt u.\nAnswer: -48*m**3*u + 1800*m*u**3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -645436 + 103?\nAnswer: -645333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/(p*p*p*p**1*p)*p)\/p*p)**22*(p\/(p*(p\/p**(-1\/5))\/p*p*p*p))\/(p\/(p\/(p\/(p\/((p*p**3)\/p))))) assuming p is positive.\nAnswer: p**(-141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 91 = 88. Suppose 0 = k*o - 30*o + 6*o. Solve o*b + 2*b = -2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10024220 rounded to the nearest one hundred thousand?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 12, x: 1, r: 5, z: 1}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228.55*-40.\nAnswer: -9142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 o when three letters picked without replacement from {a: 2, e: 1, k: 3, i: 4, o: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyooyymmmomm. Give prob of sequence omo.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -t + 14, 4*t - 6*t + 13 = 3*i. Suppose 79 + 1 = i*s. Let u = 245 + -241. Calculate the lowest common multiple of u and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*s - 33. Let k(y) = -7 - y + s*y**2 + 7 - 1 + 6. Is k(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430084 is divided by 86016.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 252132 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46*l + 678?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3170525, -6341051, -9511577, -12682103?\n\"Answer: -3170526*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 206 = -7*y + 164 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**2 - 9*r**2 - 148 + 148 + 37*r**2.\nAnswer: 41*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a factor of 125630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 12 = 32. Suppose -11*l + 15*l + 28 = 0. Let s = l - f. Solve 3*b = -b - s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 608*x + 1 - 163*x - 1.\nAnswer: 445*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131424434 (base 5) to base 12.\nAnswer: 27706a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 3*l - l + 2*l - 3*l - l + 0 + l + 0 + (0 + 3 - 2)*(3*l - l - l) - 2 + 2 + 2*l + (1 - l - 1)*(-3 - 4 + 0) to u + h*l and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1573057062.\nAnswer: 2, 3, 643, 135913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l. Let k be q(-4). Let n be 0\/(-2)*2\/k. Suppose 4*w - 17 - 7 = n. Solve w*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (1 + (-22)\/12) - 122\/(-732). Solve -5*m = n, x - m - 166 = -162 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16131789919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 5*d = -193, 164*w = 167*w + 2*d - 71 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4))**45*((c\/c**(5\/6))\/c*c)\/c**(-2) assuming c is positive.\nAnswer: c**(161\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -203*v + 1660. Is k(-5) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/31 (b) -7\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m*m*m**(-1\/5))\/m)\/m*m*m)**(-11\/3)*m*m\/(m*m**(-20))*m*m**(-1\/35)\/m assuming m is positive.\nAnswer: m**(1124\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -5. Find the second derivative of p**2 + p - p + t*p wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 + -106 + (1 - (5 + 3)) + -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 129*j**4 + j**3\/3 - 9*j**2 - 2298. What is the third derivative of m(k) wrt k?\nAnswer: 3096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 3*m**2 - 2*m + 4. Let y(p) = -6*p**3 - 15*p**2 - 10*p + 21. Let l(k) = -11*w(k) + 2*y(k). Let h be l(3). Solve -2*c = -6 - h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/5)\/(2\/10). Let r(z) = -z**3 + 7*z + 10 + 2*z + 2*z**2 - 8*z**k. Let h be r(-7). Let o(m) = -3*m - 6. Determine o(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*50.7\nAnswer: -101.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p - 3. Give u(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 342323, 342322, 342321?\n\"Answer: -n + 342324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36623463 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/6660 and -29\/10656.\nAnswer: 53280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 802 = 37*v - 39*v, i - 51 = -3*v. Solve 12 = 18*p + i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -1 (c) -0.13 (d) -0.145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16187 + 6?\nAnswer: 16193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8822.94323 - -8823. Let w = -6.05777 + o. Round w to 1 decimal place.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000996 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*-3*sqrt(1900) - ((sqrt(1900) - -3*(sqrt(1900) - (sqrt(1900) + -2))) + sqrt(1900))**2).\nAnswer: 720*sqrt(19) + 30544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -4, 4, 789, 57 in ascending order.\nAnswer: -4, -2, 3, 4, 57, 789","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10488 = -411*x - 774 - 1494 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (508\/17780)\/((-1)\/50).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72047491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 1057.\nAnswer: -317.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/114156 and 85\/8456.\nAnswer: 228312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 77576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 43*l. Let f(s) = 71*s**2. What is b(f(p))?\nAnswer: 3053*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1014 and 33696.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3906801 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -32. Let l = -11 - t. Do 0 and l have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3469, -0.11, -29 in descending order.\nAnswer: -2\/3469, -0.11, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*z + 46*z = 113 + 74 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 12, 4*s - s - 9 = 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 23*o**2 + 32*o + 43. Let j be f(-9). Calculate the greatest common divisor of 1520 and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 2, -138, 5, 0 in ascending order.\nAnswer: -138, -2, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3065198?\nAnswer: 2, 509, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142900 divided by 35725.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 7 = 5*i, 4*i = 2*j + 15 - 17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -1.9. What is the closest to 0.08 in l, -3, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1386*j + 41*j**3 - 1388*j + 2773*j - j**2 as m + y*j + t*j**2 + f*j**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 3. Let d be y(1). Let a(b) = -b**3 - 49*b**2 + 51*b + 52. Let x be a(-50). Sort 1, d, x in descending order.\nAnswer: d, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 13135357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*z**2 + 8*z - 2*z**3 + 1 + 117*z**2 - 305*z**2 to k*z**3 + t + o*z**2 + r*z and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 + -18 + -3)*2\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6 + 5*q - 10*q + 3 - q**2. Let r(g) = g**2 + 4*g - 9. Let f(n) = 4*l(n) + 3*r(n). Let f(k) = 0. Calculate k.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + z - 8 = 4*w, 2*w = -5*z + 1. Let t(m) be the second derivative of 1\/7*m**w - 2*m + 1\/42*m**4 + 0 + 2\/7*m**2. Factor t(f).\nAnswer: 2*(f + 1)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*a**4 - 82*a + 2189 wrt a.\nAnswer: 24*a**3 - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1595?\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 5. Suppose -5*s - 3*z + 3 = 0, -z = -3*s + q - 2. Suppose 3*y + 0*l + 2*l - 19 = s, 2*l + 2 = 0. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 3*w - 11. Let b be y(-6). Suppose -53 = -3*c + b. Calculate the highest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 38*g**2 + 11. Let o(b) = 19*b**2 + 6. Determine 11*o(q) - 6*v(q).\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1666 is divided by 132.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 6*r = 780. What is the greatest common factor of r and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l. Let i(a) = -74*a. Calculate h(i(v)).\nAnswer: -296*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.133 - 0.024. Let j = -0.281 - f. Round j to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 285*u + 578 + 417. Sort 0, 5, u, 384, 1 in descending order.\nAnswer: 384, 5, 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -466.55 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23592658 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1615 + 2376. What is the units digit of (g*(3 - 2))\/((-14)\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/1358 and -95\/42?\nAnswer: 4074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-13)\/2)\/(1 - (-2)\/(-4)). Let u be (-30)\/6 + i\/(-3). Is u != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/12)\/((-6)\/(-276813)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 420690*x - 8849003805.\nAnswer: -5*(x - 42069)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrjrjjrrjrjrjjjjjjj. What is prob of picking 1 j and 1 r?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/15 + 76*y**2 - 14440*y + 2743600\/3 = 0. Calculate y.\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6\/5)\/(m*m\/((m\/((m\/m**(-2\/9))\/m))\/m)))\/(m**(-2)\/(m\/m**(-6)))*(m**1)**(-17)*(m\/((m*m\/m**(1\/3))\/m)*m*m)**(-21) assuming m is positive.\nAnswer: m**(-2719\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -632.5 - -633. Sort 3\/2, b, -5, 0.19.\nAnswer: -5, 0.19, b, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**8\/210 - a**6\/180 + 5*a**3\/6 + 8*a. Let m(j) be the second derivative of i(j). Find the third derivative of m(s) wrt s.\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/29 in -0.1, -5, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g - 6. Let s be w(-4). Let t(m) = -2 + 2 + s*m**2. Let i be t(1). Are 1 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/731731 and -111\/374374.\nAnswer: 16098082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-28 - 110) - 44?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 2*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y - 8 = 0. Solve l = -l - y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1145 + -1257. Which is bigger: p or -443\/4?\nAnswer: -443\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 - 47. Suppose -14 = f - 3*f. Suppose 0 = 5*h - f - 8. Solve -y + h*k = -7, 3*y = -3*k + b*k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1749636 or 1749564?\nAnswer: 1749564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -602 (base 9) to base 7.\nAnswer: -1265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 8*h**2 - 6*h + 6. Suppose 267*g - 275*g = -40. Let b(t) = t**3 + 7*t**2 - 6*t + 5. Determine g*z(d) - 6*b(d).\nAnswer: -d**3 - 2*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*(7 - (-583)\/(-88)). Let v(i) be the third derivative of i**3\/6 - i**2. Let x(h) = h**2 - 5*h - 1. Let m(z) = s*v(z) - x(z). Calculate m(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + l, -2*l + 4 = -0*l. Let w = -22.9 + 20. Let f = w - -0.9. Is k equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2506839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411686858?\nAnswer: 2, 3, 8681, 27103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3753701, 3753716, 3753733, 3753752, 3753773?\n\"Answer: q**2 + 12*q + 3753688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003305309 rounded to 4 decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/96 and -41\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 2*w - 3*w)*(4*w**3 - w**3 - w**3) - 2*w**4 + w**4 + 0*w**4 - 8*w**2 + 4*w**4 + 8*w**2 in the form d*w + i*w**3 + a + z*w**2 + f*w**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 2598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 384942375 a multiple of 475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 382 + -382. Which is the closest to z? (a) 4 (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 385288.3 to the nearest 1000.\nAnswer: 385000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + u**2)*(-6 + 1 + 0) + (4*u - u - u)*(u + 2*u - 2*u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27468*0.06143.\nAnswer: 1687.35924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/82759275 and -38\/82759275.\nAnswer: 82759275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -193*m - 63*m + 6750 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-720)\/112 - -6) + (-89981)\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcoootottttototet. Give prob of sequence ot.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(75)*1))\/((sqrt(12) - sqrt(3))*-1 - sqrt(3) - sqrt(75)*-2).\nAnswer: sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 11:15 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 6 + -13 - 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 31*j + 2. Let a be g(0). Solve -l - 3*o = 2*l, -l = -a*o + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 at most as big as -580\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*a - 245*a = -10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107 - 103. Let w = 0 + j. Suppose -w*t = -2*n - 8, -n + 2*t + 16 = 5*t. Solve -q - 3 = -n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2983 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10263401?\nAnswer: 19, 540179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.5 - 9.5. Which is smaller: -3\/8 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -22. Let p = 3 - -2. Calculate the lowest common multiple of b and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9010 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3.751 * 3\nAnswer: -11.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3581, -13853, -30973, -54941?\nAnswer: -85757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 4038*o + 48024.\nAnswer: 3*(o + 12)*(o + 1334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.42, -4, -735?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, -3\/2, 28\/1747, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - v - 16, t + 4*v = 5*t - 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94004 and 9088?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57.1 + -57. Sort -0.4, h, 4\/11 in ascending order.\nAnswer: -0.4, h, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, p: 5, s: 1}. Give prob of sequence paas.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -5, 2, 21, -3 in decreasing order.\nAnswer: 21, 2, -3, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/113 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -369396832*l + 50849501 wrt l.\nAnswer: -369396832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*b**2 + 8 + 0 + 5*b**2 - 6 in the form y + q*b**2 + c*b and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 910.\nAnswer: -1820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 713552\/5 or 142709?\nAnswer: 713552\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:05 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236\/131, 6, 4.\nAnswer: 236\/131, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 11*g**2 + 30*g + 34. Does 13 divide v(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 541, 869, 983, 883, 569, 41, -701?\nAnswer: -1657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2875, 2840, 2795, 2734, 2651, 2540, 2395, 2210?\nAnswer: 1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 71*s + 13. Let z(p) = -33*p - 28. Let q(n) = -67*n - 49. Let l(k) = 3*q(k) - 5*z(k). Calculate 6*c(r) + 11*l(r).\nAnswer: 30*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1157 - 561. Let f = -592 + h. Solve -5*l + f = 4*q + 1, 0 = -4*l - 4*q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 7*i**2 + 7*i + 9. Let x be n(-6). Suppose -y + 132 = 4*g - 38, -g - 536 = -x*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzjbzwwwwwm. What is prob of sequence bzww?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -976 * 44.68\nAnswer: -43607.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 29923 in descending order.\nAnswer: 29923, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3089 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 545*r**2 + 546*r**2 - 1089*r**2. Let z(n) = 27*n - 1. Calculate z(f(a)).\nAnswer: 54*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.15 + 0.63. Let r = j + -0.58. What is the second biggest value in 5, -2\/5, r, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 7*y - 9. Let r be z(-8). Let x = r - -147. What is the lowest common multiple of x and 6\/(-4)*24\/(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 472, 0, -7, -3, 5 in decreasing order.\nAnswer: 472, 5, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16578122.\nAnswer: 2, 11, 47, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47815 divided by -9563.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 19*z**2 + 20*z + 6. Calculate k(18).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 1:46 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + t = -420283, -5*d + 4*t + 219799 = -305552. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 909 and 258142668.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**13*k)*k*k**19*(k**(-2\/3))**(-28) assuming k is positive.\nAnswer: k**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 11:25 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-34 + 32 + -40)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2013 and 1647.\nAnswer: 18117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -4. Let j be (y\/9)\/((-2)\/24). Suppose -s - 92 = -3*h, -3*h + s = -j*s - 76. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwnwn. Give prob of sequence wnww.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5 - 10*i**4 - 36*i**3 - 58*i**2 - 43*i - 12 = 0 for i.\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -719476103*f + 6*f**2 - 719476222*f + 1438952325*f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13999834 and 579.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36674 is divided by 12222?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 41 - 51 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/10 + 8*h**4\/5 - 60*h**3 - 401*h**2 + 5719*h\/10 + 4557\/5 = 0. What is h?\nAnswer: -31, -7, -1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-2)*y*y**(-1\/2))\/((y**2\/y)\/(y*y\/y**7)) assuming y is positive.\nAnswer: y**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 127247741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57313 + 91223. Let n = h - 949587\/28. What is the common denominator of n and 17\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2.4, -4, -1, -712, 0.2?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**4\/12 - 4*q**3\/3 - 15*q**2\/2 - 96*q. Let c be z(-5). Solve -h + c*h = -2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (13 - (-30 + 26))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -533, -3, -2\/3 in ascending order.\nAnswer: -533, -19, -3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (2 - -8) - (12 + (14 - 19 - 12))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -77, -148, -215, -278?\n\"Answer: 2*j**2 - 77*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 408861184 and 3584.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 51080.241.\nAnswer: 51082.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k. Let x(g) = g - 5. Determine x(d(z)).\nAnswer: -3*z - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 - 772\/7. Let d = -227 - -218. What is the smallest value in n, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 50*a**2 + 52*a + 161. Calculate the remainder when 147 is divided by n(-49).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c + 3*o = -292, 145701*c + o + 52 = 145704*c for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from aaxsxxdddaixaxh.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135002?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/205? (a) 0.4 (b) 45 (c) 5 (d) 0.1 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and 68.08?\nAnswer: 75.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/24*1\/1*6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 2*q - 3. Let j be o(3). Let r be -3 - (j\/9 + -1). Which is bigger: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i + 2*u = -1021, 2*u + 4066 = 4*i. Let c(n) = -i*n - n**2 + 1020*n + 3 - 7. Determine c(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/2)\/(2\/(-4)*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 2 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.017041 months in centuries?\nAnswer: 0.0116808675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -21 - -35) + -18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 863, -5\/93, -10?\nAnswer: -5\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -500190?\nAnswer: -500185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 37*r**2 - 5*r + 4. Let i(j) = 18*j**2 - 3*j + 2. Let c be (19\/(-7) - 0) + (-866)\/3031. Calculate c*n(z) + 5*i(z).\nAnswer: -21*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1310 is divided by 52.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4*(1 - 1). Let k(n) = b - 3 + n + 2. Suppose 3*p - 20 = -p. Determine k(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*a - 16 = 0, 0*w + 17 = -4*w - a. Let h be 70*((-15)\/(-6) + w). Let k = 107 + h. Solve 0*n = k*r - n, 2*n - 3 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36569 is divided by 265.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**5 - 38*p**4\/3 + 122*p**3\/3 + 40*p**2 - 725*p\/3 - 250\/3 = 0.\nAnswer: -2, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -5*y - 3. Let h(p) = p**2 - 3. Let v(f) = 3*f**2 - 8. Let s(c) = y*v(c) - 8*h(c). Let a(t) = -4*t. Calculate s(a(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 5) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.337103 rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -6. Solve -r*t = t + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-1890)\/24))\/((-272)\/(-56))?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 157.1846386 + -0.1923386. Let k = -0.1945 + -156.8055. Let w = r + k. Round w to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 1\/13, 55, 6, -3, -0.5?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 4 = 2*s, 2*s = -4*v - 24. Let z be v*(-1)\/2 - 126\/45. Let p = -4 + 13\/3. Which is the smallest value? (a) 0.4 (b) p (c) z (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {u: 3, s: 2, z: 1, q: 6}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 41 = 51. Suppose 2\/9*u + 4\/9*u**r - 2\/9 = 0. What is u?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*n**2 + 35*n**2 + 65*n**2 + (n - 3 + 3)*(-2*n - 3*n + 2*n))*(960 + 16*n - 960).\nAnswer: 2288*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512 = -7*x - 57. Let i = -427 + 452. Calculate the least common multiple of i and x.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 44*c + 40.\nAnswer: 4*(c - 10)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 26 = 4*b, 2*b - 14 = -7*f + 4*f. Suppose f*g + 2*g = -48. Is 13 a factor of (-103)\/(-4) + (-3)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3311 and 79765?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29260 or -29257?\nAnswer: -29257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -1\/4, -66381 in ascending order.\nAnswer: -66381, -1\/4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-82)\/(-328)*(-228)\/(15\/5)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from {p: 2, l: 2, o: 1, y: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 144665415 or 1.4?\nAnswer: 144665415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 g when three letters picked without replacement from {v: 6, a: 4, g: 4}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0.1 (c) -1 (d) 8\/5 (e) -781\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -129176 - -5\nAnswer: -129171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9668?\nAnswer: 2, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242925.\nAnswer: 3, 5, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z**2 - 12*z + 2. Let a(n) = 35*n**2 + 61*n - 11. Suppose 5*o + 44 = 7*o. Let x(v) = o*g(v) + 4*a(v). Find the second derivative of x(r) wrt r.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 9*s - 20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -145 - -224. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m*m**13\/m*m)*m*m)\/m)\/((m*m*m**(6\/11))\/m))**(21\/5) assuming m is positive.\nAnswer: m**(-672\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70926 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.06 (b) 4.378 (c) 0.082 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59*l**4 - 28732*l**2 + 135563507*l.\nAnswer: 708*l**2 - 57464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8570.88 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 283969.4 meters in nanometers?\nAnswer: 283969400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18) + (4 - 76\/18) + 6. Solve 4*b = -3*x + 23, x = -2*b + 3 + v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/3*(-27)\/9. Let u be (-86)\/c - (-2)\/4. Let o = -21 + u. Calculate the greatest common divisor of 11 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - (-6 - (43 - 51)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/7, 0, -0.2, 5, -0.12.\nAnswer: -5, -0.2, -0.12, 0, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-4)\/2 - (0 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3836868051 to the nearest integer?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b8 + -2?\nAnswer: 4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1695.1420255 from 0.5.\nAnswer: 1695.6420255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-2 + -2 - 720\/(-168). Which is the closest to z? (a) 4\/7 (b) -7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - i - 28. Let b = i + -2. Let r be 18\/b + (-6)\/(-15). Solve 4*w + 0*w + r = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -4*y + 23, 372 - 396 = 2*q - 2*y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*y - 16, 0 = 13*y - 14*y - 2. What is the third derivative of -77*x**2 + 44*x**4 + 58*x**p - 12*x + 12*x wrt x?\nAnswer: 1056*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.1 from -351.\nAnswer: -349.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaiaaaaaaaiaaaiaa. What is prob of picking 1 i and 1 a?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 43 (b) 5 (c) -1\/11 (d) 1\/4 (e) -2 (f) -1.3 (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 973?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1211, -1208, -1205?\nAnswer: -1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.039 - 1.321. Let i = t + 1.36057. Round i to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/12*(-4)\/8. What is the closest to 1 in l, -4, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188227, 188286, 188311, 188296, 188235, 188122?\nAnswer: 187951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12747 - -158144. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 13314 divided by -6.\nAnswer: -2219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 221775440*j*q**3 + j*q**2 - 2*q**3 - 9*q**2 + 3*q + 243846 wrt j?\nAnswer: 221775440*q**3 + q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 4) to base 2\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 706.4 to the nearest 10.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3 + 2580*q**2 + 91329*q + 512540 = 0.\nAnswer: -28, -7, 2615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeheeeeeee. What is prob of sequence eehe?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 5:16 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*r + 3 = 0, -4*r - 17 = c + r. Suppose 1 = -c*h - 2. Put h, 1, 4 in ascending order.\nAnswer: h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141610275 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - m + 2 = 0, 0 = 5*z + 3*m - 0*m + 42. List the prime factors of (-2)\/2 - z - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 7 + 4)*(2*n**4 + 2*n**4 - 3*n**4).\nAnswer: 13*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3*n - 2*o - 3*o + 12 = 0, -5*o + 9 = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, v: 1, e: 1, u: 1}. Give prob of sequence cce.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589621.\nAnswer: 41, 73, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 117*i + 5 + 10 - 24.\nAnswer: -117*i - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24927530?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 25*i. Let j(f) = 3*f**2 + 2. Let r(q) = 13*q**2 + 9. Let x = 8 + -17. Let g(y) = x*j(y) + 2*r(y). Calculate s(g(v)).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 5. Find the common denominator of 13\/18 and (m\/10)\/(24\/(-100)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.325 to 1 dp.\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14\/955, 0.5, 89, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from wwvwvwvwvwwvvwwwww.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -3*a**2 + 2. Let z(v) = 4 - 4*v - 4 + 2*v. Determine m(z(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -280 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2110011210121 (base 3) to base 16\nAnswer: -13e031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1830931 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43884)\/(-4293)*((-18)\/4)\/3*3.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -32812*i**3 - 26*i**2 + 16390*i**3 + 16421*i**3 - 46 - 2*i. What is s(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2008749 is divided by 251089?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4167.\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 15 + 10 + 2*a**2 as k*a**2 + f*a + v and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9 + 0*a**2 + 14*a**2 - 9*a**2 - a**3 - 2*a. Let r be y(5). Let p(i) = 28*i**3 - 24. Let o(x) = -x**3 + 1. Give r*p(d) - 24*o(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33242 (base 5) in base 8?\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88394\/(-561051)*51 - 5\/(5\/(-8))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**4 + 705*l**3 + 20280*l**2 - 22420*l - 42000 = 0.\nAnswer: -100, -42, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 + 10*c**2 - 5*c + 8. Calculate s(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -2\/5 (c) -1 (d) 1 (e) 3 (f) 2 (g) 7\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 58. Calculate l(-32).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210132032 (base 4) to base 10.\nAnswer: -149390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 25*d**4\/12 - 20*d**3\/3 - 10*d**2 + 7*d. Determine j so that a(j) = 0.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 2*u**2 + u + 1. Suppose -z = -4*r - 2*z - 88, 2*z + 29 = -r. Calculate the remainder when (1\/3)\/((-1)\/r) is divided by h(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 8. Let n be r(-6). Suppose 3 + 9 = 4*k. Suppose -l - 20 = -k*l. Calculate the highest common divisor of l and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 214*y + 204*y to c*y + p and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*j + 11. Suppose -3*c + 5*k + 76 = j, -3*c + 0*k = -4*k - 74. Find the second derivative of 4*y**5 - 27*y + 3*y + c*y**5 - 5*y**5 wrt y.\nAnswer: 420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 21*c - 20. Let b be f(20). Suppose b = 6*n - 3*n + 6. List the prime factors of ((-1)\/2)\/(n\/188).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 4, 7\/8, 5?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.8 and -11.251?\nAnswer: 31.5028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0 = 1, -4*x + r = -11. Suppose 4*a - m - 33 = -0*m, x*a - 5*m = 46. Suppose -3*k + 12 - 3 = 0. Calculate the remainder when a is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1309009.\nAnswer: 13, 100693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.902063 - 0.097947. Let k = 0.83 + 0.17. Let m = l + k. What is m rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 555 + -550. Let t be ((-3)\/y)\/((-52)\/2600). What is the greatest common factor of 27 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-152)\/266 - 501\/(-7). What is the highest common factor of r and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 - 3*q**4 + 3*q**4 + (1 + 0 + 0)*(-2 + 2 + q**4) + 5*q**4 + 46 - 46.\nAnswer: 7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 325319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s**2 + 18*s + 69. Is v(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4185417\/34*(-60)\/(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z + z)*(0*z - 5*z + 3*z) - 5*z**2 - 2 - 17*z + 17*z.\nAnswer: -3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - 4*m - 2765*m**3 + 5 + m + 2*m**4 + 2767*m**3 as d + a*m**3 + n*m + u*m**2 + b*m**4 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -21 + 7 + -6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1223341002 (base 5) in base 7?\nAnswer: -34033063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(13))*6)**2*-1.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26829371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 11*z + 26 = -2*d, 4*d + 28 = 4*z. Calculate the remainder when z is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, v: 1, i: 1, r: 5, c: 1}. Give prob of sequence vci.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03188173 rounded to 3 decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (16 - 4 - 58).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 3 (c) -1382.1 (d) 13 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 732 and 1581533763?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.655212 micrometers to millimeters.\nAnswer: 0.000655212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 8512490.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 20559 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f + 33. Is 11 a factor of b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 13582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3 = -2*z - 0*s, -3*z + 3*s = 0. Which is greater: -5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*x + 8737 - 1193 + 2764 = -9240 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 157784370 divided by 3\nAnswer: 52594790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 274*-51.39\nAnswer: -14080.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a meter in millimeters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 10*v**2 - 85 + 30*v**3 + 63.\nAnswer: 30*v**3 - 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63407*c**2 + 60133*c.\nAnswer: -126814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 433*j + 5576. Determine v(-13).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0\/f)\/f**(4\/5)*(f**(2\/7))**17 assuming f is positive.\nAnswer: f**(107\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 1543.79341?\nAnswer: -1547.79341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/sqrt(96) + ((sqrt(66)\/sqrt(2))\/sqrt(3) - sqrt(11))**2 + 3.\nAnswer: sqrt(11)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**23\/(b*b**6*b*b*b*b**(2\/7)*b*b) assuming b is positive.\nAnswer: b**(-247\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 3*d = -26, d = -44*p + 12*p - 3114 + 3056 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3021285 and 5438313.\nAnswer: 27191565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11725 and 2010?\nAnswer: 70350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 260 = -5*h, -h + 5*h + p - 214 = 0. Let b = h - 30. Calculate the lowest common multiple of b and 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * -0.4.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 12 + 4 - (-4 - -2) - 18.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2436*y**4 - 11*y**3 - 317*y**2 - 2*y - 35?\nAnswer: -58464*y - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*p*u**2 - 6*c**3*u**3 + 40757*c**2*p*u**3 + 13*c**2*p*u**2 - 5*c*p*u**2 - p*u**2 - 2*p*u - 13*p wrt u?\nAnswer: -36*c**3 + 244542*c**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 10*u**2 - 14*u - 28. Give a(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/3552 and -1\/2435340?\nAnswer: 19482720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r - 4*c - 47 = 0, 6 = -2*c. Suppose m + k + r = 3*k, 6 = -m + k. Does 4 divide (-76)\/(-10) + (-2)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350828.\nAnswer: 2, 229, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 27.4 times -0.64\nAnswer: -17.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2181030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072 is divided by 325?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -283 - -625. Let o be (4 - 0)*9\/j. Let z = -119 - -118. Which is bigger: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82318291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-2 - -10) - (-69 + 44 - 11).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2230 or 6013?\nAnswer: 2230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2. Let w(x) = 29*x - 26*x + 5 - 22. Let d be w(6). Let n(l) = 8*l**2 + l + 1. Give d*n(i) - 6*q(i).\nAnswer: 2*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -72628*i. Let s(g) = -15*g**2 + 6*g. Give s(z(f)).\nAnswer: -79122395760*f**2 - 435768*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/45 + (-129)\/(-27). Suppose 0 = u*h - 0*h - 65. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/145 and -61\/95?\nAnswer: 2755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 - k**3 + 0*k**3)*(-k + 4*k - 5*k) - 10*k**4 + 21*k**4 + 9*k**4.\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 291178768 to the power of 1\/4, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 4, z: 2}. Give prob of picking 1 g and 1 f.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138 is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9982 and 336?\nAnswer: 239568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + 75. Suppose 7*b = 66 + r. What is the smallest common multiple of b and 38?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.059555483856 - -0.5.\nAnswer: 0.440444516144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {v: 9, y: 3}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13539*b**3 - 27080*b**3 + b**2 + 13543*b**3 - b**2.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42522 is divided by 3364?\nAnswer: 2154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5937 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-480))\/((-2)\/(-8)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1082, 2\/13, -3\/1628.\nAnswer: -1082, -3\/1628, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1357817?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - 47.9889. What is m rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9602 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: What is the remainder when 747351 is divided by 1271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1275802 and 695892.\nAnswer: 7654812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18237236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -8*f - 45, 5*f + 21 + 24 = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*t + 3*t, 0 = -t - 5. Let m(q) = 14*q - 22. What is the tens digit of m(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 496877*w**6 + 520490*w**2.\nAnswer: 59625240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 28, 37, 46, 55?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3568.211 days?\nAnswer: 308293430400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*x = 5*h + 135, 0*h + 2662403 = 2*h + 2662433 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -1. Let n = -34.3 + 14. Let v = n + 20. Which is the third biggest value? (a) -2 (b) v (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 0*v**2 - 4*v - 1\/2*v**4 + 0*v**3 + 0 - 3\/4*v**5. Find q such that k(q) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 2*w + 5. Let q(h) be the second derivative of -h**2\/2 + 3*h. Give 4*q(a) + x(a).\nAnswer: -a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 2210. What are the prime factors of o(69)?\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (271\/(-1626))\/((-26)\/4)*15\/25?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 730 - 691. Let v(r) = -j + 11*r - 9*r + 37. Give v(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7773, 7771, 7769, 7767, 7765, 7763?\nAnswer: 7761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -3\/5*p**5 - 5\/4*p**4 + 0 + p**3 + 15*p + 0*p**2 + 3\/10*p**6. Factor m(r).\nAnswer: 3*r*(r - 2)*(r + 1)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63733300 to the nearest 100000.\nAnswer: -63700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 4961.9.\nAnswer: -4961.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*q - 120*q = -828 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20308938, -20308939, -20308940, -20308941, -20308942?\nAnswer: -20308943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*s**2 - 22*s - 6 = 0. Calculate s.\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4155768?\nAnswer: 2, 3, 57719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1 take away 342175229?\nAnswer: -342175224.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/6 - 8074*g\/3 + 456848 = 0. What is g?\nAnswer: -16316, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(19) + 5 - 4*(sqrt(19) + -2)) - (4*(sqrt(171) + 0) - (2 + sqrt(171) + -5)))**2.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 18*u**2 + 31*u. Let w(k) = 37*k**2 + 57*k. Calculate -5*b(f) + 3*w(f).\nAnswer: 21*f**2 + 16*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -49. What is the nearest to 2\/5 in w, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*1*sqrt(17) - (-1*sqrt(833) - sqrt(833)))**2.\nAnswer: -3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3 - 1308336*b**2 - 27475898*b - 26167560 = 0. Calculate b.\nAnswer: -20, -1, 654189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*w - 11. Is ((-752)\/(-12))\/(w\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 + 2 - (1 + -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 times -37?\nAnswer: -3774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, t: 2, p: 1, c: 1, a: 1, n: 2}. What is prob of sequence tant?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**5\/5 - 321*l**4\/4 + 69*l - 1457. Find the first derivative of k(f) wrt f.\nAnswer: 4*f**3 - 963*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-6))\/7*11\/(-11).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 3256.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -247, -482, -789, -1168, -1619, -2142?\nAnswer: -2737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -5. Let k(m) = -2*m**3 - 5*m**2 + m - 6. Let h be 2\/(-2) - (0 - 6). Let i(g) = -h*g**2 - 5*g**2 - 1 + 9*g**2 + 0. Calculate w*i(y) - k(y).\nAnswer: 2*y**3 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8 = -5*q - 5, 4*i = -12. Find the third derivative of 434*t**3 - 249*t**3 - 234*t**q - 55*t**2 wrt t.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*q + 7425 = 26*q + 2457 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -202c7a7 (base 13) in base 10?\nAnswer: -9738424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 30 - 27*y + 18*y**2 + 62*y**3 + 29*y**2 - 60*y**3. What is the units digit of v(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -27579301 = -27579301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 28*o - 109. Give p(-14).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4271, 3644, 3003, 2348, 1679?\n\"Answer: -7*r**2 - 606*r + 4884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 4525\/350 - (-1 + (-298)\/140)\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Let b be (-12)\/10 - (-728)\/140. Let m be (1 - 1)\/(b - f). Solve m*h - h = 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 287\/4 + -32441\/452. Let l = 1051\/1017 - c. Find the common denominator of l and -41\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567787054.\nAnswer: 2, 101, 2810827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 7, c: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 12065 = 2*z, 5*m = -z + 4984 + 1056. Suppose 1364 = 9*w - z. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + u - 68*u**3 - 2*u**2.\nAnswer: -68*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 2, y: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*d**2 + 4638495*d + 116866972 with respect to d.\nAnswer: 12*d + 4638495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*n + 43, 11 - 31 = 5*n. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6307907.\nAnswer: 953, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/1419 and 7*4\/(-84) + 430\/(-132).\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-6)*12\/9. Let u(o) be the second derivative of 0 - 5\/54*o**4 + 7\/27*o**3 + 1\/90*o**5 - 8*o - 1\/3*o**q. Factor u(j).\nAnswer: 2*(j - 3)*(j - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -843, -1643, -2445, -3249?\n\"Answer: -h**2 - 797*h - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 346893637 rounded to the nearest 100000?\nAnswer: 346900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 - -76 - (-1 - 2 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/9)\/(x*((x\/x**(-1\/11)*x*x)\/x)\/x)*(x*x**4)\/(x**6*x)*x**(-5)\/(x*(x*x**(-1\/2))\/x)*(x\/(x*x\/x**(3\/5)))\/x**(2\/11) assuming x is positive.\nAnswer: x**(-10291\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(231)*-3)\/(((sqrt(56)*2 + sqrt(56) - sqrt(56)) + sqrt(56))\/sqrt(8)))\/(-3*(-1*(sqrt(3) + sqrt(3)*2) - (sqrt(21)*1)\/sqrt(7))).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Let h be (5\/(-45))\/((-1)\/s). Let r be (165\/198)\/((-1)\/(-6)). What is the nearest to 2\/7 in h, r, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - w - 144 = 0. What is the common denominator of 71\/12 and -2 + w\/(-14) + (-465)\/(-378)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1524 and 12192.\nAnswer: 12192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -10*b. Let u(a) = 3*a - a + b*a. Let d(c) = -2*c**2. What is u(d(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 16*m**2 + 3*m - 21. Let o(f) = 7*f**2 + f - 9. Let u(g) = 9*o(g) - 4*w(g). Let i be (-5)\/1 + 0 + 0. Give u(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + 3*(-2*sqrt(99)*-4 + 1) + -4)*-3.\nAnswer: -216*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f**2 + 230*f + 2. Let r(o) = -o**2. Calculate l(w) + 6*r(w).\nAnswer: 2*w**2 + 230*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l = -17*l - 8. Suppose 2*w + 2*w = -l*a - 16, -w + 10 = -3*a. Sort -2\/3, 3, a.\nAnswer: a, -2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1266054 and -39\/18568792.\nAnswer: 55706376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 a factor of 2339649331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**4\/24 + 5*l**3\/6 + 8*l**2. Let c be u(0). Solve 3*w + q - 3*q = -8, -4*w - 26 = c*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159174?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 10, -844*s + 846*s - 4754 = -b. Does 33 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**5\/2 + o**4\/3 - 2*o**3\/3 + 2*o**2 - 17*o. Let g(l) = l**3 + l**2 - l + 1. Calculate 4*g(y) - v(y).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25933 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**3 - 2*u**2 - u. Determine i(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 350, 705, 1050, 1379, 1686, 1965, 2210?\nAnswer: 2415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -22.2. Let w = 5 + p. Let i = 1.800064 - w. Round i to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(-2 + 205\/105)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2863735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 12 - 5*c + 3. Suppose 0 = 7*y - 4*y + g - 198, 0 = -3*y + 4*g + 198. What is the remainder when y is divided by a(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {b: 4, c: 1, o: 6, x: 5}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 18 + 15. Let o = -15 - n. Let r(m) be the first derivative of 2*m**2 + 6*m + 1. Determine r(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m - 4 = -2*z, 10 = 5*z + 4*m. Suppose -32\/11*f**z - 30\/11*f**3 - 8\/11*f + 0 = 0. What is f?\nAnswer: -2\/3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = v + f + 8, -f = -5*v - 1. Is v equal to 13\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*k - 34414, -k - 3*w - 22950 = k. Let n = k - -252487\/22. Let o = 10918 + -130865\/12. Find the common denominator of o and n.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 186*z**2 - 18170*z + 5468. Calculate i(-71).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (8 - (3 - -19))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 217*a**3. Let h(o) = 7*o**3. Let t be (-567)\/(-2)*(8 + (-96)\/18). Suppose -290*j + 278*j = -t. Calculate j*h(b) - 2*s(b).\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 - 9 - 73 + v**2 - 3 + 85.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5795\/987 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31149, -48199, -65251, -82305?\n\"Answer: -m**2 - 17047*m - 14101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -173 - 104. Let p = q - -277.2. Let y = -5.1 - -0.1. What is the third smallest value in y, p, 2\/15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37260 - 18630 - 18630 - 17*v + 0*v.\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a4 + d7065?\nAnswer: d7419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, o: 4, u: 10}. Give prob of picking 1 o and 1 s.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 + -104 + (0 - 0) + -45 + 13 - 26.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 652d (base 14) to base 6\nAnswer: 212541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1864152, -3728310, -5592478, -7456662, -9320868?\nAnswer: -11185102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**3 - 3*f**2 + 3*f - 2. Let b(m) = -3*m**3 - 2*m**2 + 3*m + 119 - 65 + 0*m - 56. Determine 3*b(d) - 2*p(d).\nAnswer: -d**3 + 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*l**2*x**2 - 43*l**2*x - 2*l*x**2 + 2*x wrt x.\nAnswer: -86*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -26. Let h = o + -28.9996. What is h rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 386*w**2 - 1512*w.\nAnswer: -2*w*(w + 4)*(w + 189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*w + 70 = 5*d + 269*w, 3*w = -6*d + 45 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011406 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 - l - 7. Let r be k(-6). Let v = -96 - r. Which is smaller: v or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 482\/3374*(-2)\/(-1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-863649)\/(-33) - -6*3\/(-99) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6671 - 40117\/6. Calculate the common denominator of r and 149\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 360 divided by -12\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = 4*d + 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 178322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 6, 1420 = 5*p + 4*v + v. Let t be (2 + p\/(-18))\/((-1)\/24). Calculate the greatest common divisor of t and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 49 - 57. Is 56 a factor of 357 + 1 - (o + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five sevenths of a week in days?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 1:03 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/9)\/((-18)\/(-81)*-3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -q + 147, -3*o = -4*o - 3*q + 21. Let i = -17 + o. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/(310\/(-60))*(-165)\/(-90).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58862386*t**2 - 120663556 wrt t?\nAnswer: -117724772*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 542*x - 6760 - 442 - 2554 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**3 - 2*r**2 - 3*r + 4. Let p be u(-3). Let a be (-6)\/14 - p\/(-14). Suppose -8 = a*c - 48. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(18)\/sqrt(6) + (sqrt(192) - (1 + sqrt(192))).\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 0*o + 2*o. Suppose -32*v + 2269 + 2307 = o. What is the greatest common divisor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -118\/7 (b) -3 (c) -0.48 (d) 5\/2 (e) 18\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1431 and 1431 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355109.8km to millimeters.\nAnswer: 355109800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -907 divided by 188795.\nAnswer: -907\/188795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 468, -3, -39, -1, 1\/5, 0.3 in ascending order.\nAnswer: -39, -3, -1, 0, 1\/5, 0.3, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k = 0. Let i(u) = -u**2 - u + 16. Let x be i(k). Suppose 8 = g - x. What is the highest common divisor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29466, -58676, -87886, -117096?\nAnswer: -146306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11\/282 - -37\/658. Let t = 0.3 + -0.3. Let c = t - -0.2. What is the third smallest value in -3\/2, w, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/300 and -163\/1361520.\nAnswer: 6807600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2639 - 5403. Let z = t - -47004\/17. Calculate the common denominator of z and (-1148)\/96 - 2\/(-6).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35159.\nAnswer: 35159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*p + 88*p - 30*p - 26*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 359698640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/91 - 2263\/546. Find the common denominator of i and ((-2)\/11)\/(1176\/(-1323)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 31.78655?\nAnswer: 32.08655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suvz when four letters picked without replacement from {u: 3, s: 5, x: 1, z: 5, v: 1}.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (302\/48 - 6)*4\/28. Let k(m) be the second derivative of 7\/96*m**4 + 1\/32*m**5 + 0 + t*m**3 + 0*m**2 + 6*m. Factor k(r).\nAnswer: r*(r + 1)*(5*r + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4414101 (base 9) to base 2\nAnswer: 1001000010111110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -2 + 20. Let i be 5 - (-6)\/(1*-3). Suppose i*p - 63 + y = 0. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153080 divided by 5.\nAnswer: -30616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(45) + sqrt(540)\/sqrt(12) + -5 + -2.\nAnswer: -4 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**6\/30 + 2*h**4\/3 - 161*h**3\/6 + 150*h. Find the second derivative of d(c) wrt c.\nAnswer: -12*c**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 266\/9507 or 0?\nAnswer: 266\/9507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12458000 rounded to the nearest one hundred thousand?\nAnswer: 12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 19, -9, 29, -30, 0, 8 in increasing order.\nAnswer: -30, -9, 0, 4, 8, 19, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 59890430 divided by 5\nAnswer: 11978086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473008 is divided by 601?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 37. Suppose -v + x*u - 7*u = 15, 4*v = -5*u. Solve -4*a - 5 = -v*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-18) - 336\/(-54). Let u(i) = -i**2 - 6*i - 6. Let p(g) be the first derivative of -g**3\/3 - 5*g**2\/2 - 5*g + 2. Determine n*p(x) - 5*u(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -9, -1, 8, -5, -8 in decreasing order.\nAnswer: 12, 8, -1, -5, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 852*n**4 - 5*n**3 - 5*n**2 - 610. Let b(g) = 427*g**4 - 2*g**3 - 2*g**2 - 304. Let o(k) = -5*b(k) + 2*m(k). What is the derivative of o(d) wrt d?\nAnswer: -1724*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 14*i**2 - 10*i + 96. Let s be h(23). Suppose 0*x = 8*x - s. What are the prime factors of x?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 3*d + 5. Let n be g(-6). Are n and -2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5361 is divided by 374.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -95, 7, 113?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2295918*u**2 - 4*u - 46. Let k be a(-7). Round k to the nearest 1000000.\nAnswer: -113000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9995589, 9995599, 9995615, 9995637, 9995665?\n\"Answer: 3*d**2 + d + 9995585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 183670 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 2. Let i = t - -3. Let l = 4 - i. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 882 is divided by 119.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**2 - t + 0*t + t.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 13*b + 96. Is n(22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-20))\/((1650\/(-1960))\/(-165)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c56c1 (base 13) in base 16?\nAnswer: 56a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from quusukuuqqiu.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + -0.3. Let c = -6 - -7. Let w = c + h. Sort w, -2, 5 in descending order.\nAnswer: 5, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -22.7, -0.5, -1, 2?\nAnswer: -22.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 170, 5.27, 2, -0.4 in increasing order.\nAnswer: -0.4, 2, 5.27, 14, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 2. Let s = -19.3 - -3.3. Let m = 15.9 + s. Which is the closest to m? (a) p (b) -1\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*i + 18, 3*c + 0*c + 9 = 0. Let p(z) = -z**2 - 9*z + 9. Let f be p(-8). Let o = 28 - f. Calculate the remainder when o is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 208 + -211. Let g = -5\/31 - -165\/62. Sort -1, g, s in descending order.\nAnswer: g, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20\/157 or -1?\nAnswer: 20\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 150*d**3*r**3 - 5*d**3 - d**2*r**2 + 4*d**2*r - 11*r**3 wrt d.\nAnswer: 900*r**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -178820?\nAnswer: 178819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p + 10. Let w be q(-5). Suppose -5*v + 23 = x - 2*v, w = 5*v. Calculate the remainder when x is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x - 451*x + 36*x - 67*x - 294*x.\nAnswer: -756*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3013 + -3008. Let o(c) = c**2 + 6*c + 1. Let y be o(-6). Calculate the highest common divisor of a and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.22 - 44.22. Let r = y + 44. Let w = 744 + -743.9. What is the nearest to -0.6 in w, 2\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -2\/9897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 22*t**2 + 28*t + 23. Let h be l(-19). Let r = -10921 - h. Suppose r + 2942 = 3*m + 4*c, 0 = -m + 2*c + 2437. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*g**2 - 3*g + 3*g)*(1 - 1 - 1) + 11 - 11 - g**2)*(-3*g**2 - 260*g**3 - 2*g**2 - 26*g + 258*g**3).\nAnswer: -2*g**5 - 5*g**4 - 26*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-11)*b)\/b**(-1\/4)*(b**(-9)\/b)\/(b**(-2\/11)\/b) assuming b is positive.\nAnswer: b**(195\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -33610.\nAnswer: -33610, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*a + 807 = -17*a - 33 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (989*l + 44*l - 152*l)*(5 + 4*l - 3 - 2*l)*(l - l + l)*(-1 + 1 + l).\nAnswer: 1762*l**4 + 1762*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, -29, -4, -30, 5 in increasing order.\nAnswer: -30, -29, -8, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = 2*v, -14*v + 1388*x = 1385*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6467 - 3362. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28641422 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 4:43 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 32\/5 of a century?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1107226492?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, v: 7, o: 5}. Give prob of sequence vvvv.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7684, 15363, 23024, 30655, 38244, 45779, 53248, 60639?\nAnswer: 67940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 28485*d**2 + 285405*d + 313885.\nAnswer: -5*(d - 11)*(d + 1)*(d + 5707)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 5985*k**3 - 3985992*k**2 + 890169024*k - 2634794496.\nAnswer: -3*(k - 664)**3*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8816096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004252 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 4, -44, 3 in decreasing order.\nAnswer: 4, 3, -2, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -296400 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 181 = -v, -3*t - 3*v + 130 + 47 = 0. Is t a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4823765 to the nearest integer?\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -39*k - 84, -4*s - 4 - 18 = -k for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4582*b*r**3 + 3*b*r**2 + 206*b - 2*r**6 - 14*r**5 - 38*r**2 wrt r.\nAnswer: 27492*b - 240*r**3 - 840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-693)*104\/(-156)\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -0.9. Let w be 15\/35*28\/96. Which is the closest to o? (a) -1\/5 (b) 1\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -3, -2\/43, -1.114?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3671\/6 - -33127\/54. Find the common denominator of i and (-258)\/45 + 4\/40.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4587576 micrometers in centimeters?\nAnswer: 0.00004587576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 5:23 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63\/5515 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34.7 - -35. What is the nearest to 1\/3 in k, 2\/11, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 - 5*x**2 - 21*x**2 + 34*x - 6 - 35*x wrt x.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 7*z = -5*z + 51 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3. Let c(o) = -4*o**3 - 6*o**2 + 3*o - 4. Let h(l) = c(l) - 5*z(l). Let f(g) = g**3 - 5*g**2 + 2*g - 3. Give 4*f(s) - 3*h(s).\nAnswer: s**3 - 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3*h + 42, -7 = -4*z - 3*h + 5. Suppose 4*t + z = -2, -g + 5*t = -4. Sort 0, g, 5 in increasing order.\nAnswer: g, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 129420109\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = -0*i + 80 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2532)\/290 + -4*(-32)\/(-1856). Which is smaller: 0.7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/5)\/((-4)\/30)*-2. What is the lowest common multiple of (24\/108)\/(v\/(-27)) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90*x**6 + 2*x**5 + 47*x**3 + 1491214*x**2 wrt x?\nAnswer: -10800*x**3 + 120*x**2 + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 255610, 512783, 769956, 1027129, 1284302?\n\"Answer: 257173*x - 1563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.19 - -0.61. What is the second biggest value in u, 1, 1\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/17 - 9*(-20)\/(-1530). Is i greater than -2\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 48 = 8*n. Let v be 0 + n\/6 - (-1020)\/(-24). Is -42 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, f: 3}. What is prob of sequence fsfs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 57835927+59207\nAnswer: 57895134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 431694 and 174?\nAnswer: 431694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -102.38 and -433512059?\nAnswer: 433511956.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22663 - 36*j**2 - 22663.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -6*c - 32. Put c, -2, -11, -5 in ascending order.\nAnswer: -11, -5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/10*195\/78*-2. Find h such that 3*h**b + 15\/7*h**4 - 6\/7*h - 3\/7*h**5 + 0 - 27\/7*h**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 7 + 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -25*g + 3. Let c(s) = 9*s - 1. Suppose 5*t = -4 - 21, -4*m + 5*t = 7. Let i(b) = m*c(b) - 3*p(b). Give i(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 222*p - 215*p - 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h + 2638. Let w(p) = -p + 659. Let g(s) = -2*i(s) + 9*w(s). What is the hundreds digit of g(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (-64 + 92)) + (7 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from hisblrr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 39*h + 36 = 0. Solve h = 5*a - 2*s - 19, 3*a + s = 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1948190.7 months to years.\nAnswer: 162349.225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099093.365 rounded to the nearest 10000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 598?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 - 6*u**2 - 3*u - 4. Let m be k(-4). Suppose m = 4*w - 8. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - r**3 + 9689*r**2 - 9695*r**2 + 3 - 4 as g*r**3 + t + c*r**2 + j*r and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 267400 and 367675?\nAnswer: 2941400","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve 50*u = -187 - 127 - 136 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u - 45. Let h be a(-16). Suppose -5*l - 7*y + h*y = -1051, 2*l - y - 410 = 0. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + ((-1)\/4 - (-5)\/20). Suppose -27 - 53 = 4*n. Let d be (-1450)\/(g - (-1)\/n). What is d rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201022231120 + -11?\nAnswer: -201022231131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/((m\/(m\/((m*m**(-3\/2)*m)\/m))*m)\/m))*m**(-2\/13)*m)\/(m**(-4)\/m*m*m**(4\/7)\/m*m))**(2\/9) assuming m is positive.\nAnswer: m**(229\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*h - 3065 = -2605 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 12*n + 12. Let k(h) = -6*h**2 + 34*h + 34. Let c(t) = -6*k(t) + 17*w(t). Let d(u) = 17*u. Calculate d(c(l)).\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 238\/(-17) - 627\/(-45). Put 0.02, k, -0.4 in ascending order.\nAnswer: -0.4, k, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 66, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5)*i)\/i*i\/(i*i**(1\/2)\/i*i)*i**8*((i\/((i**(-7\/2)\/i)\/i*i))\/i)\/i assuming i is positive.\nAnswer: i**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6787086.\nAnswer: 2, 3, 1131181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.9291273 days?\nAnswer: 1337.943312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 104728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.29*256583.\nAnswer: -74409.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3080158 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(3\/11))\/((h**(2\/11)\/h)\/h))\/(h**(1\/4)\/h*h)**(-1\/61)*h**(-2\/19)\/h**4*(h*h**(8\/3))\/h**(7\/3) assuming h is positive.\nAnswer: h**(-34021\/152988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 12:14 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -7 + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 7, 2\/9, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**4\/12 + p**3\/2 - 6*p**2 + 7*p + 20. Give r(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 876, -5 in descending order.\nAnswer: 876, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 10*i + 11*i - 7*i**3)*(1 - 6 + 0).\nAnswer: 30*i**3 - 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 2*p**2 - 3*p - 1. Let d be g(-2). Suppose 0 = 2*a + 8, -3*n + d*a + 16 + 1 = 0. Let w = 2.04 - 2.1. Is n smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 176330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence neee when four letters picked without replacement from nnenneenne?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1428557562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 556468553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5 - 3*b + 3*b**2 + 2*b**2 + b**3 - 3*b. Suppose -4*q = 3*i + 14, 2*q - 2*i + 7 = -7. Is c(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -32, -35, -40?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53355.94 meters to kilometers.\nAnswer: 53.35594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27155 (base 9) to base 16.\nAnswer: 47b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*p + 12. Let v(m) = -20 + 31 - 11 + p*m. Let q(d) = 6*d + 3. Determine v(q(l)).\nAnswer: 12*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 10*g + 27. Let u be q(8). What is the highest common divisor of 594 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -353612\/39 or -9068?\nAnswer: -9068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -7. Suppose 5*s + 3 = -0*h - h, 2*s + 22 = -3*h. What are the prime factors of 1\/g - 166\/h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*p - 160, 2*h - 181 - 139 = 2*p. Suppose -4*o + 2*u = -76 - 212, 2*o - h = 5*u. What are the prime factors of o?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-18))\/((-28)\/(-126))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.24 + 0.24. Let r = 4.93 + 0.07. Let k = r - 4. Is k at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-208)\/208)\/((1\/8)\/(-1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 13*d + 39. Suppose d*o = 7 + 5. Solve -w + 6 = o*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -37 (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -23, -26?\n\"Answer: -3*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 291\/33 + 2\/11. Suppose -3*a = -3*h - p, -4*a = -0*h + 3*h - 12. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/((-84)\/880)*(-456 - -32). Round h to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 5*u - 144. What is the remainder when 77 is divided by r(12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*c - 20. What is the least common multiple of c and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7294786002+0.8\nAnswer: -7294786001.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + 5. Let g = 22 - 11. Let l(a) = a - 3. Let d(j) = g*l(j) + 6*p(j). What is the first derivative of d(u) wrt u?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8790386581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10523 - -10534. Solve 3*v + 2*m + 11 = 0, 7*m = -3*v + f*m + 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/(-39)*-3 + 48032\/741)\/(-12) and 121\/930.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + 4 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -5. Let p be 26\/8 - 1\/b. Solve 0 = 2*k + 7 - p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**5\/60 + 4483*c**4\/24 + 3256*c**2. Let n(h) = -h. Calculate n(b(p)).\nAnswer: -p**2 - 4483*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -2)*-2 - -279. Does 10 divide p\/5 - 6\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(8)*1*6).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3464.25 + 3464.2. Let h be 2*(0 + (-1)\/5). Which is the closest to h? (a) i (b) 0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5080 divided by -254\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -134122675 - 64?\nAnswer: -134122761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -20.3. Let d = -1.7 - -0.2. Let h = 2 + d. Which is the third smallest value? (a) 3\/7 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**(-7))\/p)\/(p*p**(-3\/10)))\/((p**(-11)\/p)\/(p*p\/p**(2\/13))) assuming p is positive.\nAnswer: p**(929\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -1\/5*s**2 + 4\/15*s**3 - 2\/15*s**4 + 2*s + 0. Determine q, given that x(q) = 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, 38, 49, 50, 35?\n\"Answer: -w**3 + 4*w**2 + 10*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/5, 0.165, 17, 2, 4?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 951131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8760 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 17*t = -19*t + 6, 9 = 2*s + 3*t. Determine b so that 0*b**2 + 0*b + s + 3\/2*b**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5092.\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(2\/11))\/l)**(-1\/21))**(-1\/9)*((l\/l**(-2))\/l**(-4\/3))\/((l*l*l**(-3\/4))\/(l*(l*l\/l**(2\/5))\/l*l)) assuming l is positive.\nAnswer: l**(236273\/41580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -19*r + 42*r - 28*r + 2*f - 7, 5*f = r + 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 3*d**4\/16 - 11*d**3 + 87*d**2\/8 + 3704*d. Factor c(t).\nAnswer: 3*(t - 29)*(3*t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2190655 rounded to two dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**2 - 17*u + 20. Let n(j) = -j**2 + 3*j - 4. Calculate -11*n(v) - 2*o(v).\nAnswer: -v**2 + v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71 + 71. Let l be 3\/6*c - 2. What is the tens digit of l - -189 - ((-4)\/1 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42264, -42276, -42296, -42324?\n\"Answer: -4*f**2 - 42260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101010001102101 - 2?\nAnswer: -101010001102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 5 = -9*r. Let j(v) = -130 + 4*v + v**r + 57 + 61. What is the remainder when j(-9) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 14\/(-4) + -2. Let k be 16\/(-24)*12\/(-8). Let w = 3109\/1244 + 1\/1244. What is the smallest value in k, w, v, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqn when three letters picked without replacement from dunnqunqnqq?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**9\/252 + p**5\/10 - 2*p**2. What is the third derivative of b(x) wrt x?\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3340*f - 23 + 3333*f - 6676*f + (-2*f - 1 + 1)*(-3 + 1 + 3) in the form k*f + d and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/((-5)\/(-10)*-4). Solve 3*n = -4*v + 7, -w = -5*v - 2*n + n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28428 = -1329*r + 8600 - 58583 for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/27 - 158\/(-18). Let s = 7\/173 - 4575\/1903. Find the common denominator of s and 3\/q + 169\/24.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d - 17. Let t(w) = -14*w + 32. Let i(m) = 3*t(m) + 5*v(m). Let p(n) = -3*n + 10. Determine -4*i(b) + 3*p(b).\nAnswer: -b - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768990.\nAnswer: 2, 3, 5, 25633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 7:08 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 28*b**2 + 26*b + 13. Let z be v(-13). What is the nearest to z in 0.4, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 6) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 198 + 42. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 20 = 2*b. Suppose 3*h + 32 = v, 3*v - b*h = -3*h + 80. Calculate the remainder when v is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/108*441\/9*4\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75984 divided by -8.\nAnswer: -9498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, w: 4, p: 3, t: 1, y: 3, u: 1}. Give prob of sequence pwgy.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008125 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 293, 299?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 = m. Let k = 0 + m. Solve k*w + 12 = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1038416, -2076846, -3115276, -4153706, -5192136, -6230566?\nAnswer: -7268996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + 3*n**3 + 5*n**3 + 3*n**3 - 13*n**3 - 3*n - 83*n**2 in the form w*n**3 + g*n**2 + k*n + o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**4\/4 - 13*k**3\/3 - 6*k**2 + 2*k - 133. Let m be i(-12). Find r, given that m + 1\/2*r**2 + 5\/2*r = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 1)*5)**2 + (1 + sqrt(128))**2*5.\nAnswer: 480*sqrt(2) + 3870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -13. Let w = -9 + d. Suppose 3*t + 13 - 1 = 0. What is the nearest to -1 in -5, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -346*t + 19284. Determine j(57).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/((-4)\/45))\/(9\/(-6)). Solve j - s = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80\/3 + 886\/33. Which is greater: o or -0.057?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -371*u + 374*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**11*f**(-5\/6)*f*f assuming f is positive.\nAnswer: f**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9931 (base 12) in base 8?\nAnswer: -40765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260 is divided by 270?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 9 = 11*y - 14*y, -5*y + 15 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1796813\/955290 + 1\/22745. Find the common denominator of 16\/21 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 5, -5 in ascending order.\nAnswer: -5, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 159\/232454 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -8*d + 18, -2*l - 2*d - 8038 = -8040 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 12865534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1693*u - 1694*u - 5*x - 25, -4*x - 20 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 142 - 444 + 302.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 839 + -1697. Let s = g - -861. Solve 0 = -4*f + 5*v - 37, -4*v + s = 4*f - v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: f8 (base 16) to base 12\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 20 = -5*a. What is the lowest common multiple of (1 - 14\/(-4))*2 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -13*h**2 + 7. Let w(f) = -36*f - 33*f + 8 - 41*f - 33*f + 148*f. Give w(j(p)).\nAnswer: -65*p**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14208?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2637, -2324, -2013, -1704, -1397, -1092?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -55*v - 277. What is b(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*j - 1731*j**2 + 1729*j**2 - 21*j in the form o*j + x*j**2 + f and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0*t**2 - t**2)*(5 - 3*t - 5).\nAnswer: 3*t**3 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, o: 2, i: 1, g: 1, y: 1}. Give prob of picking 1 y, 1 d, and 1 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s - 44*s + 0*s)*(-3*s + 3*s - 2*s) + s**2 - 7*s**2 + 2*s**2.\nAnswer: 100*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, v: 9}. Give prob of sequence vvv.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217112933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 8*v - 16. Let j be g(5). Is (-2243 - -6)*4\/(4*j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3798 + 3823. Solve 0 = -0*c - n*c + 25 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - 7 - 5 + 3*a + 3*a**2 + (-3*a - 2*a + 2*a)*(a + 0*a - 4*a + (-3 + 3 - 2*a)*(0 + 3 - 1) + 5*a - 3*a - 3*a).\nAnswer: 27*a**2 + 3*a + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 4. Let s be m(-7). Let r be (6 - 1) + -5 + s. Let w be ((-45)\/(-20))\/(r\/8). Calculate the highest common factor of w and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9875052503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/7, -0.1, 28 in descending order.\nAnswer: 28, 2\/7, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + -5 + (6 - 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 + 6*i**2 - 15. Let l(j) = -13*j**3 + 22*j**2 + j - 63. Let h(s) = 2*l(s) - 9*o(s). Calculate h(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 811230\/1050 - ((-6)\/(-10) - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 40. Let n be r(0). Let h be ((-2)\/5)\/(8\/n). Suppose 4*x - 5*v + 12 = -5, -5*v + 29 = h*x. Calculate the highest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -196919890 to the nearest 1000000.\nAnswer: -197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 516*p - 12923. What is z(-28)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1236.35 to the nearest 10.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 13) + -1 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 2. Let s(t) = t**2 - 5*t + 4. Let j be s(4). Let i be z(j). Suppose 10 + 22 = i*v. Calculate the remainder when 46 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 17223*p**3 - 1564*p**3 + p**2 + 4531*p**3.\nAnswer: -14256*p**3 + p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 25 = 5*m, 7*r - 2*r - 20 = 4*m. Let o be (-1)\/3*m*3. Suppose -4*z - o*t = -66, z = -3*t + 12 + 1. What is the remainder when z is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 340666340 and -805.099.\nAnswer: 340665534.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -822*r**3 + 2*r**2 + 833*r**3 - 2*r**2.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 4*f + 4*f. Let l(i) be the first derivative of -7*i**4\/12 - 9*i + 1. Let v(y) be the first derivative of l(y). Give v(n(c)).\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782520.\nAnswer: 2, 3, 5, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/22 - (-1904)\/187. Suppose 5*h = -j - j + 10, 5*h = 2*j + w. Solve x + 4 = -j*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14*-1*(-3 + -19 + 20). Solve -y*b + 15 = -13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**7\/42 - z**6\/20 + 107*z**5\/60 - z**4\/24 - 120*z**2 - 1. What is the third derivative of c(n) wrt n?\nAnswer: -120*n - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 5*k + 1834. List the prime factors of k.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 10 = i + 6*r, -9*i - 305830*r + 30 = -305834*r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*s - 0*t - 17, 5*t + 10 = 0. Suppose 5*x - 3*c = 2724, -2*x + 1050 = -s*c - 51. What are the prime factors of x?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*-2*-4)\/(sqrt(44) - sqrt(176)))**2 - sqrt(110)\/(1*sqrt(640))*-3.\nAnswer: 3*sqrt(11)\/8 + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 737 - 1382 + 6945 = -170*z + 70*z for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56537 by -1.\nAnswer: 56537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - q - 30. Suppose -5*z - 2*a + 3*a + 352 = 0, 2*z - 134 = -3*a. What is the highest common factor of q and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1417 or -1416?\nAnswer: -1417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*(k*k**10)\/k)\/k)*(k\/(k*k\/(k**(-2\/7)*k*k*k)))\/k)**(2\/7))**(-1\/19) assuming k is positive.\nAnswer: k**(116\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064622 to the power of 1\/2, to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -1\/2 (c) -0.14 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -13 - 11. Is 48 a factor of (-2 - j - -1) + (-140)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019602 to seven decimal places.\nAnswer: -0.0000196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744 = -415*z + 7556 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j. Let u(n) = -4*n + 2. Let c(r) = 7*r - 5. Let x(q) = -2*c(q) - 5*u(q). Calculate x(m(l)).\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02892 take away 2?\nAnswer: -1.97108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/283947 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s = 0. Suppose -2*h - 3*h = s. Suppose h*f - f = -2. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpzaazzapkpkkzzzz. What is prob of picking 1 z and 1 p?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (-30 - -25) - -11\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-8))\/(105\/(-70)))\/((-4)\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8 minus 119372771753?\nAnswer: -119372771756.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-12)\/(-4) - -3. Let y(b) be the first derivative of -5*b**4\/4 + b**3\/3 - 4*b - 2. Let a(z) = -4*z**3 + z**2 - 3. What is p*a(l) - 3*y(l)?\nAnswer: -l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12225322 (base 6) to base 3\nAnswer: -201221112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*p + 13292, 3*t - 5*p - 6294 + 16271 = 0. What is the common denominator of -21 and (-3)\/7 - t\/4032?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(288) - (sqrt(288)*-1 + -1)) + 5)**2.\nAnswer: 384*sqrt(2) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1357 + -803. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -8*z**2 - 54*z - 9. Let c(f) = f**2 + 1. Determine 18*c(t) + 2*o(t).\nAnswer: 2*t**2 - 108*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 9*n - 7*n - 12, 145*n = 147*n - 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.2, 1, -0.4 in decreasing order.\nAnswer: 1, 1\/3, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r**2 - 17*r**2 + 6*r + 34 - r**2 + 9*r**2 - 19*r to the form d*r**2 + b + u*r and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**6\/360 + 5*p**4\/12 - 2*p. Let c(l) be the third derivative of r(l). What is the tens digit of c(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 613 - 614. Let v = -2.8 - -3. Let h = 0.2 - v. What is the nearest to 0.1 in 3\/2, h, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.087997 to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16265100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuu when three letters picked without replacement from {u: 7, c: 9, d: 3}.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642745403?\nAnswer: 9397, 68399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 28. Let h = 1 + 8. What is the greatest common divisor of h and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -8. Let i(u) = u + 1. Let w(p) = 7*p - 191. What is the remainder when w(30) is divided by i(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and -1.096.\nAnswer: 0.07672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 139595.7 (b) 37 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 15*r**2 - r - 13. Let y be s(-15). Suppose y*g + 0*g = h + 87, -15 = -3*h. Suppose 2*z = 2*b + g, -3*z + 4*b + 30 = -37. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171305235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -301 (c) -43 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 12:34 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -1354411.\nAnswer: -1354411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {n: 5, l: 9}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 729 = -z, -5*p - 764 + 55 = -4*z. Let d = -135 - p. Calculate the smallest common multiple of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.1 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 + 45 = -3*l + 3*d, d + 55 = 2*l. Does 58 divide (-3)\/l - 1602\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110215?\nAnswer: 5, 7, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 - 6*f - 4. Let y(d) = -3*d**2 + 7*d + 5. Give -5*p(i) - 4*y(i).\nAnswer: -3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275799 is divided by 68759?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -23*p**2 - 10. Let k(r) = 42*r**2 + 18. Let z(f) = -5*k(f) - 9*u(f). Let c(w) = 598*w. What is c(z(l))?\nAnswer: -1794*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 79470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*c + 5*s - 86, -s = -3. Solve -g = g + c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22688620 (base 9) to base 10.\nAnswer: 11041938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 115972973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-7 + -8 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2 + 1. Let j(g) = -5*g**2 - 9*g**2 - 3 + 3*g**2. Let y be 5\/20 - (-46)\/8. Calculate y*j(r) + 17*u(r).\nAnswer: 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*h**4 - 170*h**3 - 130*h**2 - h + 2571398?\nAnswer: 60*h**3 - 510*h**2 - 260*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 7*t + 3. Let c be o(6). Let d be ((-6)\/(-15))\/(1\/5). Let g(v) = -v + v**3 + d*v**2 + v**2 - v - 4. Give g(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 8 = -4*m + 2, 0 = m. Let i(k) = k - 1 + 4 - 5. Let u(p) = 6*p - 11. What is b*u(h) + 11*i(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4124\/13 - 8287\/26. Sort d, 1\/943, -0.5.\nAnswer: d, -0.5, 1\/943","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - s**2 - 1 + (-3*s**2 + 3*s**2 - 2*s**2)*(5 - 1 - 3) - 308036*s + 308036*s + 29090*s**2 in the form i + x*s + j*s**2 and give j.\nAnswer: 29087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 860, 1717, 2574, 3431, 4288, 5145?\nAnswer: 6002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3841, -3691, -3455, -3091, -2557, -1811, -811?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 423.8659 centuries in years?\nAnswer: 42386.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -51*d**2 - 29 - 7*d**2 + 75*d**2 + 0*d**3 - 21*d + d**3. What is the remainder when 59 is divided by o(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 u when three letters picked without replacement from dddddduddddddddddd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 169399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.239386551 to five decimal places.\nAnswer: -0.23939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*l - 25*l + 3078 = -237*p, 3*p - 3*l + 38 = -3*p + 3*p - 4*l for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 250\/15*(-9095399 + 6\/(-6)). What is q rounded to the nearest 1000000?\nAnswer: -152000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -17*a - 31. Let z be f(-8). Suppose -5*v = 3*w - 10, 20 = 5*v + w - 0*w. Suppose 75 = 4*d - 3*y - 8, -v*y = -5*d + z. Solve 0*b - d = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 9, 17, -4, -17.\nAnswer: -17, -4, 0, 5, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27079 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 5*t = -35, 0 = -2*g + 47*t + 46*t - 88*t + 35 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -476 + 431.9. Let l = g + 114. What is l rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -1083*w**3\/2 - 1140402*w**2 - 6318*w = 0.\nAnswer: -2106, -2\/361, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 324895201737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4648 - 4630. Solve 0 = 3*g + 2*v + 12, -p*g - 5*v - 25 = -13*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3*g + d**3 - 20815*d**2*g + 1766*d + 1 with respect to g.\nAnswer: 2*d**3 - 20815*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180 equal to 2193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j + 1530 = 2013 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 2:41 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*d**2 - 176*d**2 + 49*d**2)*(15 - 4 - 23).\nAnswer: 1932*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 y, and 1 a when three letters picked without replacement from zhayw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4417319 is divided by 46?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) + 34\/(-3). Let d = x + 16. Let u(w) = -w**3 + 4*w**2 + 7*w - 6. Is u(d) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/2*(-2)\/4. Suppose 2*o - 7 = b, -2 = -3*o - b + 11. Find the second derivative of -3*t + j*t**5 - 2*t + o*t + 0*t**5 wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 - 85*n - 7. Calculate the remainder when (146\/(-5))\/((-2)\/10) is divided by l(-28).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4413 divide 231801651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32891, 32932, 33001, 33098, 33223, 33376, 33557?\n\"Answer: 14*j**2 - j + 32878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1 - -2)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109907 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -33075*j**4\/8 + 164115*j**3\/8 + 102369*j**2\/4 + 1905*j\/2 + 9 = 0.\nAnswer: -1, -2\/105, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, z: 7}. Give prob of picking 1 r and 1 z.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 21*c**2 - 298*c - 465. What is n(31)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**12*f*f)\/(f\/(f\/((f*f**(-5\/3))\/f)))*f**0\/(f**(-7\/3)\/f))**46 assuming f is positive.\nAnswer: f**920","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.059 - -0.089. Let k = 0.08 + y. Let j = -1.79 - k. Is 2 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3 - (-4 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 2*y + 1\/6*y**3 + 0 - 1\/72*y**4 + 1\/1080*y**6 + 0*y**2 + 0*y**5. Let d(j) be the second derivative of w(j). Factor d(z).\nAnswer: (z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-35)*(-20)\/(-8). Let r = 14.6 + -15. Let z = 10 + -15. Which is the second biggest value? (a) z (b) r (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 a factor of 62384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541754310 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: Simplify 4 + -2*(sqrt(243) + -4) - (-3 + sqrt(108) + 1)**2*5.\nAnswer: -548 + 102*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffs when three letters picked without replacement from {s: 11, f: 5}?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**3)**(-18))**(7\/4)*((a**(-2\/5))**(-42))**(-8) assuming a is positive.\nAnswer: a**(-1302\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**0*c))**(-2\/7))**(4\/29)*((c**2*c)**(2\/41))**(-7) assuming c is positive.\nAnswer: c**(-42\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 16 = -4*a, 100*q - 101*q + a + 1 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((2\/(-20))\/((-8)\/(-20))). Suppose 5*x - 72 = -p*v + 3*x, 4*v - 4*x - 96 = 0. Suppose 4*b = 0, 4*z - v = 5*b - b. Solve -z = -2*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 1)*(5*p + 0*p + 5*p) + (0 - 3 + 5)*(-3*p - 2*p + 6*p))*(3 - 2 + 2).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.7 + -25.3. Let r = -0.55016 - 32.46284. Let q = y - r. What is q rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((27 - 11) + (0 - 3))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 9*s - 5. Calculate l(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 + 0)*(117*s + 254*s - 135*s) in the form i + y*s and give y.\nAnswer: 944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4183, -33694, -113799, -269794, -526975, -910638?\nAnswer: -1446079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-7) - (-230)\/70. Let a be 27370\/(-9125) - k\/(-1). Let m = -144169\/10950 - a. Calculate the common denominator of m and -67\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1216) + sqrt(19))**2 + (-3 + sqrt(19)*2)**2 + 0.\nAnswer: -9149 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 141517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1331?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from ggwowgwnlgg.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45936 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -17*d - 9. Let y = -524 - -564. What is the remainder when u(-5) is divided by y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 48 - 1 - -2*(-12)\/8. Calculate the greatest common factor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20078 or -20079?\nAnswer: -20078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 155*b**2 + 224*b**2 - 138*b**2 + (0 + 2 + 0)*(-3 + 3 - 2*b**2) + 2 + b**2 - 2.\nAnswer: 238*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*t + 9 = 0, -5*t = i + 32 - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403340.\nAnswer: 2, 3, 5, 19, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 28 - 21) + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42548 by -804.\nAnswer: -10637\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 26\/633?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d + 2. Let u(g) = -7*g + 2. Let c(q) = 5*t(q) - 4*u(q). Let k be c(-7). Let i be (-26)\/(-7) + 2\/7. Solve -i*w + k = -4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32786 and 970?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f + 6. Let k(n) = 6. Let j(m) = -m + 5. Let v(l) = 3*j(l) - 2*k(l). Let t(u) = -9*v(u) + 4*z(u). What are the prime factors of t(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5 - 15*s - 13*s + 24*s - 7*s. Let a(w) = -72*w - 32. Give 5*a(g) - 32*c(g).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 12 = t. Suppose -3*i + t + 3 = 0. Solve 0 + 1\/4*h**3 + 0*h - 1\/4*h**i = 0 for h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 25653003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -5, -60 in decreasing order.\nAnswer: 30, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 13232?\nAnswer: -13232.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -17*d + 32*d - 16*d - 3. Let i be n(-5). Let q(l) = -10*l**3 - 11*l**2 + 11*l - 11. Let f(j) = 2*j**3 + 2*j**2 - 2*j + 2. Give i*q(z) + 11*f(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/19))**(-50)\/(m*m**(1\/17)*m*m*m**(-9)\/m*m) assuming m is positive.\nAnswer: m**(219\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/26699 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 521640 and 959560?\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k + 0*k - 19*k + k + 6*k - 51 to the form t + g*k and give t.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63079491 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -2, -10, -1 in descending order.\nAnswer: 18, -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t + 3*y + 1, -3 = -2*t + y. Solve -25*q - 16 = -26*q + t*k, 0 = -4*q - k + 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/36)\/(1\/4). Let v = 206 + -188. Suppose 0 = -3*j - 9 + v. Which is the second smallest value? (a) 0.3 (b) -0.5 (c) h (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 0, 1.9, 0.678, 5, -4 in decreasing order.\nAnswer: 5, 1.9, 0.678, 0.04, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + 105*s**2 + 55*s - 102. Let p be k(53). Solve -9*q - 5*m = -4*q + 15, -2*q + 24 = -p*m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/10)\/(51\/12). Let d = 9.03 - 9. Let z = d - -0.47. What is the closest to 0.1 in z, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 1. Let c be (-14)\/21 + 2\/(-6). Let q be p(c). Let o be (-7)\/q - 56\/42. Solve -5*l + 5*d = 25, -o = 5*l + 3*d - 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 11*o - 12. Let d be s(-8). Suppose d = 2*u - 0*u. Is 9 a factor of (38\/(-4))\/((-3)\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3357357 + 6536457. What is u rounded to the nearest ten thousand?\nAnswer: 3180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7087 or -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 463 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**20\/a**(1\/17))\/(a\/a**(1\/7))**(2\/35) assuming a is positive.\nAnswer: a**(82851\/4165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4, 139.06, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 + -1.9. What is the closest to 1\/3 in 4, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32403 - -341?\nAnswer: -32012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 90*n - 561. Give s(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 + 21*w**2 - 25*w - 536. Give v(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/((-2)\/(-24) + 325\/3300) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*g, 0 = 8*o - 10*o + 3*g - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/573156 and 167\/1401048?\nAnswer: 12609432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-7))\/(24\/1344). Calculate the highest common factor of 96 and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35548 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + (3 - 1))*-33. Suppose 0 = -x + 5*u + r, 3*x = -x - 4*u + 36. Find the second derivative of -16*j - j**2 - 8*j**2 + x*j wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, -4.\nAnswer: -4, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + 0.1. Let f = 1.6 + -0.5. Let i = f - d. What is the closest to 0.1 in -4, 2\/9, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6029 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 54\/7*s**3 + 2\/7*s**4 - 384\/7 + 132\/7*s**2 - 304\/7*s = 0. Calculate s.\nAnswer: -24, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3097640.57 - -3.\nAnswer: -3097637.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*p = -67*p + 306 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + x + 1. Let d(v) = 4*v**2 - 4*v + 4. What is d(q) + 2*f(q)?\nAnswer: 2*q**2 - 2*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*v - 6*v - 9855. Calculate the greatest common factor of 297 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 16*y + 24 = 0, 0*i - i = -5*i + 5*y + 26 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -12201?\nAnswer: -12111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2074 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 34 - 6 = 0. Let d(w) = -5*w**2 - 9*w + 5. Let c(y) = -4*y**2 - 8*y + 4. Let k be 15\/(-20)*-4 - -3. Determine j*d(x) + k*c(x).\nAnswer: x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 570937424 divided by -158?\nAnswer: -3613528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6) + (-7)\/21 + (-4)\/(-20).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.067 - -2.34. Let z = 852.527 + -852. Let j = r - z. Round j to two decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1374727 - 1379930 = 121*m for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21922 is divided by 21884.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 6 = -6. Let i be -3*(-2)\/z + -54998. What is i rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -1859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*t - 14, -3*f + 18 - 1 = -t. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307603 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (9 - (-24 + 12 + -29)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**3 + 468*u + 2*u**2 - 2 - 468*u to the form v + o*u + q*u**3 + h*u**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-35)*-1)\/(((-4)\/10)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-2 - 3) + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1023121 (base 4) to base 3\nAnswer: 20121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2213, 2, 3, -3 in descending order.\nAnswer: 2213, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 318*x - 4550. Let c(l) = -642*l + 9101. Let g(d) = -5*c(d) - 11*w(d). Differentiate g(v) with respect to v.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**4 + 6*m**2 + 8. Let d(g) = -3*g**4 - 13*g**2 - 17. Let q(f) = -6*d(f) - 13*w(f). Differentiate q(v) wrt v.\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1345657251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 4*q**2 - 5*q + 2. Suppose 3 = d - 3*t - 12, 3*d + 3*t - 45 = 0. Suppose -k - d = -47. What is the least common multiple of k and u(-4)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/21 and (((-770)\/8)\/(-7))\/(18252\/72)?\nAnswer: 7098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -50663*a + 1823854. Give q(36).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/89? (a) -0.03 (b) -1020 (c) -1\/3 (d) -1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 162 + -174. Let w(o) = o**2 + o + 1. Let q(v) = 4*v**2 + 3. Let t(a) = q(a) - 2*w(a). Let y be t(2). Sort -2, y, g in increasing order.\nAnswer: g, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 234*r + 3046. What is k(220)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -29, -25, -19?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 129433 times -264\nAnswer: -34170312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*c - 6*c + 2*n, 0 = 5*c - n + 2. Let s be 5\/(-1)*(4\/(-4))\/c. Let o be (3 + 2)*-1*(4 + s). Solve -g + 7 = o*m, -5*g = -m - g + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 8 - 28 = 0. Let r be 2\/(2\/12*a). Suppose 0 = 5*c - 5*z - 60, -r*z + 2*z - 26 = -2*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 0)*2598\/(-8). Let t = 320 - l. Calculate the common denominator of -73\/10 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 766 - 759. Let k(x) = 7*x**2 + 3*x - 3. Let z(p) = 14*p**2 + 7*p - 7. Give f*k(s) - 3*z(s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 27*z - 78. Let a be m(25). Let i = 471 + a. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -39, 4, -5, 94 in decreasing order.\nAnswer: 94, 4, 1, -2, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4410 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 105535307 a multiple of 2633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 5*c + 3. Let v(z) = z - 1. Let g(a) = -a + 3. Let x be g(2). What is x*k(h) + 3*v(h)?\nAnswer: h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k + 3 = 0. Let i be k\/((-21)\/(-6)*(-6)\/14). Suppose -i*h + u = -u - 52, 0 = 5*u - 10. What is the remainder when h is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -687 + 160?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**5\/5 - b**2\/2 + 3*b. Calculate h(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 3*k - 30, 256*r = 260*r - 3*k + 61 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*x, 16*x + 22 = k - 0*k - 44 - 93 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 10 = 3*f, 5*f - 11858 = -13*p - 11981 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 7 - -45 - 4. Let n = q - -16. Suppose -n = -2*u + 57. List the prime factors of u.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -468? (a) 1\/3 (b) 252 (c) 0.02 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -1 - 10*f + 64*f + 3 - 13*f - 26*f. Suppose 9*i = 10*i + 11. Let a(d) = -8*d - 1. Calculate i*a(j) - 6*w(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*a**2 - 2*a**2 - 15*a**2)*(36 - 36 - 9*a**3).\nAnswer: -81*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38595 + 38600. Let t = -1 + 1.1. Which is the third smallest value? (a) w (b) 3\/14 (c) -2\/15 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n - n - n + (-1 + 3 + 0)*(-4 + 2*n + 4) - 3 + 4*n + 3 + 2*n - 4*n + n in the form x*n + t and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4374804363.\nAnswer: 3, 827, 1763323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -54 - (-80 - -15) - (1 - 1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1576959572 to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*w**6 - 20*w**2 + 188*w**4 - 188*w**4 - 2*w wrt w?\nAnswer: -4920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, y: 1, v: 3, z: 1, x: 2}. Give prob of picking 1 z and 2 x.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31\/7 - -169\/35. Factor -1\/5*j**3 - n + 2\/5*j**2 + 1\/5*j.\nAnswer: -(j - 2)*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -949, -1619, -1727, -991, 871, 4141, 9101, 16033?\n\"Answer: 47*a**3 - a**2 - 996*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 23. Suppose 0 = 3*f - w + 12. Let u be (-11)\/(-8)*4 - f. Put 4, 3\/7, u in descending order.\nAnswer: 4, u, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i - 4 + 6 - 5*i + 5 in the form z + q*i and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 155430.2 kilograms in milligrams?\nAnswer: 155430200000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express 72*x**3 + 3*x**4 - 142*x**3 - 3*x**4 - 34 + 72*x**3 + 2*x**2 - 2*x**4 as u*x**4 + f*x**2 + d*x + l*x**3 + v and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 1638 = 11*g. What is the smallest common multiple of g and 81?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -42. Let p be (-125)\/t - (-2 - (-9)\/4). Suppose 15 = p*g - 11*g. Let a(c) = -c**3 - 3*c**2 + 3*c + 3. Give a(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 37. Let t be x(-25). Suppose 5 = c + 5*g - 2, 2*g = -3*c - 5. Let h = 5 + c. Solve 5*q + h = t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/56*(-6)\/9*-3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1111, -2208, -3279, -4312, -5295, -6216, -7063, -7824?\nAnswer: -8487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 3, i: 1}. What is prob of sequence li?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 69 + 77 = 148 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1559 (base 11) to base 9.\nAnswer: -2662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 9751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + o + 1. Let n(i) = -19*i**2 + 7*i + 5. Calculate -n(q) + 5*u(q).\nAnswer: 14*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - j - 6221, 4*d - 3*j + 2899 = -2074. Is d smaller than -1244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8963*r. Let p(m) = -2*m. Give a(p(b)).\nAnswer: 17926*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 21*p + 7. Let d be b(20). Let f = d - -16. What is the third smallest value in f, 5, -0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28.469229 greater than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 17 = 1. Suppose 4*h - p + 72 = 0, -3*h = 2*h + g*p + 90. List the prime factors of ((-228)\/h)\/((-4)\/(-6)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436*v - 89*v + 58050 = 196*v - 524*v for v.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -100, -308, -616, -1018, -1508, -2080, -2728, -3446?\n\"Answer: u**3 - 56*u**2 - 47*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 2:58 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -1\/2 (c) 0.4 (d) 410\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -2 + 2\/(-10). Let r = -0.358 - -0.3332. Let b = 0.0248 + r. What is the biggest value in j, -1, b, 4\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/10)*r**18)**(-39) assuming r is positive.\nAnswer: r**(-6903\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 3. Suppose 0 = g*z - 2*x - 47, -20 = -5*z - 3*x + 33. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/4)*t\/t**0)**(-6)*(t**(-2\/15)*t*t*t)\/(t*t**(-7))*(t**0)**(-47) assuming t is positive.\nAnswer: t**(221\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1*8 + 672\/63*51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1008) - (sqrt(5600)*-2)\/sqrt(8).\nAnswer: -1 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726 + 527 = 4*y + 5*p, -y + 4*p = -329. Suppose h - 45 = 4*t, 3*t - y = -6*h + h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -5, -1, 277455 in descending order.\nAnswer: 277455, 3, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*o**5\/15 - 248*o**4\/15 - 13414*o**3\/15 + 37768*o**2\/15 - 3224*o\/3 - 1600\/3 = 0. Calculate o.\nAnswer: -25, -2\/7, 1, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1392*q**3 - 10962*q**2 + 1415*q**2 + 13704*q**3 - 2714*q**2 wrt q?\nAnswer: 73872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.89 - 0.11. Suppose -k + 4*k + 30 = 0. Let t be k\/4*(-6 - -8). What is the biggest value in 0.3, p, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 695*a**3 - 400*a**2?\nAnswer: 4170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35020 and 97129.\nAnswer: 33023860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9\/11 + 73\/22. Let w(g) be the first derivative of z*g**3 + 0*g + 3\/10*g**5 + 3\/2*g**2 + 3\/2*g**4 + 16. Factor w(y).\nAnswer: 3*y*(y + 1)**2*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46.6 - 31.84. Let g = -0.44 - b. Let j = -78.000328 + g. What is j rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -55.66 from -5331524.\nAnswer: -5331468.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002418355 rounded to seven decimal places?\nAnswer: 0.0000242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4504\/3745 + -2\/749. Factor 0*z**2 - o*z + 4\/5 + 2\/5*z**3.\nAnswer: 2*(z - 1)**2*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 12*w + 15. Let u be h(-15). Let k = -26 - u. Suppose 0 = -3*i + k*i - v + 8, -3*i - v - 12 = 0. Let q(r) = -2*r - 5. Determine q(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10095016, -40380095, -90855228, -161520415, -252375656, -363420951, -494656300?\nAnswer: -646081703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*d + 51*d - 475000 = 0. What is d rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/3)\/(-6)*1*4. Solve -2*a + 3*a + v = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.15 + -0.55. Let y = 0.3 - q. Which is the nearest to 0.3? (a) 0.3 (b) -2\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -534 in 0.3, 4, 0.5, 0.62?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 328*q*u*w**3 + 3*q*u*w**2 + 2*q*u*w + 57*q*u + 4*q*w**3 - 2*q*w - 19*q + 15*u*w**3 + 2*u*w + 2*w**3 wrt w?\nAnswer: 1968*q*u + 24*q + 90*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -6 in descending order.\nAnswer: -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - -103. What is the highest common divisor of 30 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225448 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19*30\/(-3135))\/((-48)\/(-16896)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3716736 by -16.\nAnswer: 232296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((26 - 68) + 1).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -986.5 - -987. Suppose 0 = -5*b + 5*n + 45, 5*b + 2*n + n - 77 = 0. Sort x, -3, b in decreasing order.\nAnswer: b, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 5*s + 2. Let o be t(5). What is the greatest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -569 - -313. Let b = 119 - l. Suppose -b = 3*v - 6*v. Calculate the remainder when v is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + p - 15 = -10*r, -p - 3 = -4*r. Let m be (-2 - -1 - -4) + r. Is 4120\/m - 4\/(8\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, y: 1, h: 2, x: 2, b: 6, f: 4}. What is prob of picking 1 h, 1 f, and 2 x?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 64, 53?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96659695?\nAnswer: 5, 11, 1757449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 65204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 108\/5. Put l, -2, -1\/6 in descending order.\nAnswer: l, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 8. Let t be (-1628)\/132 + 2\/6. Give k(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 37. Let k be d(19). Let h be (-18)\/(k + 7)*-1. Let b(x) be the first derivative of -3*x**2\/2 + 2*x - 2. Determine b(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9473 is divided by 4721.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 41 = -88. Let x = d + 327. Calculate the greatest common factor of 22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12778839, 12778842, 12778845, 12778848, 12778851?\nAnswer: 12778854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131318928 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3406.3*0.5.\nAnswer: 1703.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, u: 3, r: 1, z: 2}. What is prob of picking 1 g and 2 u?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/410470 and 41\/410470.\nAnswer: 410470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2277 + 96.7723. Let r = 1.544 - 98.844. Let t = r + s. Which is greater: -0.11 or t?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q. Let d(t) be the second derivative of -11*t**3\/3 - t + 17. What is d(w(a))?\nAnswer: 88*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -315\/16498?\nAnswer: -315\/16498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 4880d76?\nAnswer: -4880d75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15653845 and 3275.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.67445 millimeters in centimeters?\nAnswer: 0.667445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lanlahqqnnnqqdnqnda. Give prob of sequence dhqn.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 15*h + 2. Let p be j(15). Suppose -n - 12 = -2*n - 5*q, -n = p*q - 27. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - 1. Suppose -4*m = -0*m + 60. Let r be (-80)\/f - (-5)\/m. What is the greatest common factor of 130 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-35)\/15)\/(6\/9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -59328208 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 39*k**2 + 3*k - 4. Let n be p(-4). Suppose -86 = -6*x - n. Let i = x - -164. What is the highest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, h: 1, d: 7, u: 6}. Give prob of picking 1 d and 2 u.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3174 - d**2 - 1759 - 1814 - 1 - 2*d**2 + 1 + (3*d - 4*d + 2*d)*(-2*d + 0 + 0).\nAnswer: -5*d**2 - 399","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4974 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 18*l - 6. Let c be t(-3). Let u be (-40)\/(-6)*(-6)\/(-4). List the prime factors of 12\/u*c\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d. Suppose -2*v + 3 = -d*w - w, 0 = 2*v - 4*w + 6. Suppose 0 = -6*s + s - 20, v*s = 5*k - 42. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/3 - 118712*x**3\/3 + 587545108*x**2 - 31691001688*x\/3 + 29928485074\/3 = 0. What is x?\nAnswer: 1, 17, 29669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51652262 rounded to 2 decimal places?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.3 + -0.3. Let g = -6 + 4. Which is the second smallest value? (a) p (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100101010001001100 + -11001000?\nAnswer: -100100101010100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 974400?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-12) + (-6)\/8*-3. Suppose -2 = s*p + n, -p + 3*n = -0*p - 6. Let c(g) = 2*g**3 - g**2 - 2. Let d be c(2). Solve p = -q - q + d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9302, -22273, -35244?\nAnswer: -48215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26, 34, 54, 92, 154?\n\"Answer: n**3 + n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 5*i - 5982 + 5731, -3*b = 3*i - 156 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 127*f = 131*f + 1160, -4*f = 8. What is the greatest common factor of 45 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.198 times 437867?\nAnswer: -962431.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*w + 11, -3*w = 2*l - 0 + 1. Suppose -w*a = -x - x - 2, a + 2*x = 14. Let j(u) = 7*u + a*u + 8*u - 16*u. Let f(n) = -4*n**2. What is f(j(y))?\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120971.\nAnswer: 137, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 36 + 5 + -243 + 195\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 4558.\nAnswer: -911.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/336 - 1439\/336. Calculate the common denominator of 101\/10 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*m*s**3*y**3 + 3*m*s**3*y**2 + 15*m*s**2*y**2 + m*s**2*y + 146*m*y**3 + 2*s**3 wrt y?\nAnswer: -216*m*s**3 + 876*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 0.0149\nAnswer: -3.0149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-250)\/(-875))\/(2\/(-56))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 - 35*g - 43*g**3 + 35*g)*(7 - 11 + 20) as d + p*g + y*g**2 + t*g**3 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*p**2 + 70*p**2 + 491*p**2.\nAnswer: 424*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6525*d*f**2 + 11908*d*h - 2*d + 86*f**2*h**2 + 2*f**2 - 2*f - 1 with respect to h.\nAnswer: 11908*d + 172*f**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -10*c - 3. Let d be w(-5). Suppose 0 = 5*y + 7 + 68. Let m = d + y. Calculate the highest common divisor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.635 + 0.365. Let l be (-1 + 2)\/(54\/(-12)). Which is the second biggest value? (a) w (b) -2\/3 (c) -2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/4)\/k**(-1)*((k\/(k\/(k\/(((k**(-3)\/k)\/k)\/k))))\/k)\/k**(1\/7)*(k\/(k\/(k*(k*k*k**(-2\/3))\/k*k))*k)**(1\/6)\/((k\/(k*k**0))\/k)**30 assuming k is positive.\nAnswer: k**(9239\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u = 5*a + 335, 0 = 138309*a - 138314*a + 4*u - 420 for a.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 457 - 452. Suppose -84033 = -k*o - 5203. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*i + 2519 = -3121, -7038 = 5*m + i. Is m\/(-3) - (10\/(-15) + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/219 or 0?\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 b, and 1 f when four letters picked without replacement from {b: 4, f: 1, a: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1067, -4252, -9561, -16994, -26551, -38232?\nAnswer: -52037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40391?\nAnswer: 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x + 4. Suppose 4*w = -l + 4, -x*w + 5*l = w + 20. Suppose w*z + 930 = 3*z. What is z rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -101399630*h**3 + 258209347 wrt h.\nAnswer: -304198890*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g + 152. Let j be k(-25). What is the third derivative of -51*f**3 + 3*f**j - 44*f - 2202 + 2202 wrt f?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(88)*-2 + sqrt(88)) - (sqrt(88) - (sqrt(88)*2 - sqrt(88))*2))\/(-2*sqrt(800) - sqrt(800) - (sqrt(40) + sqrt(40) + sqrt(40)*2)\/sqrt(5)).\nAnswer: -3*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2)\/(14\/4). Suppose x + 21 = 4*o, 5*x + 5*o = x. Let z = x + 4. Which is smaller: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.348 - -0.348. Suppose 2*n - 2*r + 4 = 0, -3*n - 4*r = -3*r + 18. What is the nearest to j in 0.1, -3\/8, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -46*p + 29455. Let c = p + -661. What is the greatest common divisor of c and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-2 - -4))\/((-10)\/5). Suppose -g + 5*u = 68, 0 = f*g - u + 3*u + 148. Does 49 divide ((-127)\/(-2)*-1)\/(g\/146)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-21)*2\/((-4)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -31. Suppose -g + 5*u = 2*g - 2036, g + i*u = 672. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452273 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 240 = -70*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-1 + 0 + 4)*(-252 + 129 - 401*b - 280*b + 123).\nAnswer: 4086*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f + 8 = 0. Suppose f*b + 3*z + 0 = 4, 0 = -4*z - 16. Suppose -2*m + 0*m = -i, 3*m - 1 = i. Solve i = q, 5 = -b*a + 2*q + 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 - (-15 + 24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*w**2 - 11*w**2 - 400*w - 13*w**2 - 10000 + 38*w**2 - 10*w**2 = 0. Calculate w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 607\/42 - 85\/6. Suppose -13 = 3*p - f, f = -4*p - 0*f - 8. Let o be ((-6)\/32)\/(p\/12). Which is the nearest to 0.1? (a) i (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 42*p + 34. Let q be a(20). What is the common denominator of 1638\/(-108) - (q - -1) and -75\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 0.08, -0.4, -0.5, -2\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 16*r + r**3 - 23*r**2 - 5*r + 12*r**2 + 6. What are the prime factors of h(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88\/17173 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 981, 1475, 1969, 2463?\nAnswer: 2957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.9 - 8. Suppose 0 = -10*z - 10 - 40. Which is the nearest to 2? (a) z (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122490, -122493, -122498, -122505?\nAnswer: -122514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 4. Let s(i) = i**3 - i**2 + i - 2. Let a be s(2). Let h be o(a). Suppose -j + 2*j - 45 = h. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546070.\nAnswer: 2, 5, 7, 29, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3d026d (base 15) to base 12\nAnswer: -b97657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (4 + 1)*1. Let m(x) = x**2 + 5*x - 1. Let a be m(q). Suppose -2*h + 4*c + 22 = 0, 0*c = -a*h + 5*c + 55. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2378 divide 413634246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128105.2917 less than -11?\nAnswer: -1128116.2917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 19*v**2 - 30*v + 39. What is y(-8)?\nAnswer: -1449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-6 + (-1 - 0)) - -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2975.4 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*s - 3 + 1095*s - 132*s + 601*s.\nAnswer: 1278*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 26*q**2 - 382*q - 5015. Give o(-13).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81134?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 511267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) 18 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -3*f**5\/10 + 3*f**2 + 8*f. Find the first derivative of c(s) wrt s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -65*w - 30. Let q be h(-9). Calculate the greatest common factor of 15 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 4 + -3)*1*310. What is l rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 - (-572)\/6 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -d + 63. What is the remainder when d is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715682 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2 + x - 1. Let t be w(-1). Suppose 3*q + 4*v - 2554 = 0, 2*v + 2436 + 112 = t*q. What is q rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 3, -1, 4 in descending order.\nAnswer: 31, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -8*o**2 + 2*o + 4. Let b(m) = m**2. Let n(s) = -10*b(s) - f(s). Calculate n(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/2 + 8586450*k - 36863561801250 = 0. Calculate k.\nAnswer: 8586450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 729 + -727. What is the derivative of -24*m**2 - 203 - 106 + 1 + 67 + m**z - 3*m**3 wrt m?\nAnswer: -9*m**2 - 46*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 52288*x**2 + 42*x + 13. Is p(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -69 (b) -64 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 16*n**2 + n - 4. Let v be r(16). What is the units digit of (-464)\/v*(-75)\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 0) + 14\/8. Let w(i) = -i**3 - 15*i**2 + 39*i - 4. Let t be w(-17). Let x = t - -90. What is the nearest to x in g, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w. Let a(l) = 3*l**2 - 45*l + 2152. Determine a(z(r)).\nAnswer: 48*r**2 - 180*r + 2152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f + 6. Let x be h(-2). Suppose 0*y - 23200002 = -5*y + t, -4*y - x*t + 18559996 = 0. Round y to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 10*v = -10. Suppose 0 = -2*a - i + 7, a - 6 - 10 = v*i. Suppose 9*b - a*b - 3 = 0. Which is greater: -2\/41 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47792 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 67 = -5*o + 2*v, 0 = 4*o + 2*v - 48. Suppose -2*f - 2*f = h - o, 0 = 3*f + 3*h - 12. What is s in -2 - 2*s**f + 0 + 2*s**2 + 2*s + 0*s**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 3230032323231?\nAnswer: 3230032323231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + y - 7 + 4 - 6*y + 2*y + 3*y - y + y - y - 2*y + 5 - 5 - y - y + 0*y + (0*y - 3*y + y)*(-3 + 5 - 1) + 2 - 2 - y.\nAnswer: -8*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h**3 - 3*h + 3. Let t(n) = 5*n**3 + 2*n - 2. Determine 2*o(u) + 3*t(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*f + w, 17 = -4*f + 5*w + 40. Suppose 0 = f*r - 4*r + 8. Suppose -r*b = -m - 2, -3*m - b = -3*b - 4. Solve m = -2*x + 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((44 - 1) + -15 - 1) + 24?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7486*j + 7310*j + 1056 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 3 + 5. Let h be -1 - (v - -1)*-1. Solve -g = -0*m + 4*m + 14, -5*m = -h*g + 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 less than 11?\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2296 and 672?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 4*r + 4, 8903 = -3*y - 2*r + 8901 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-106)\/(-3180))\/((-60)\/1575)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4527, -8317, -12107?\n\"Answer: -3790*m - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k - 1. Let z(b) = -48*b - 15. Let m(t) = -99*r(t) + 6*z(t). Let s(w) be the first derivative of 2*w**2 + 4*w - 324. Calculate -6*m(c) + 13*s(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) - 5*sqrt(171)\/sqrt(3))*3)\/(sqrt(432) - (sqrt(432) + sqrt(432)*2)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r - 3. Suppose -y + 17 = d - 6*y, 3*y = -6. Suppose -s - d = -4. Give g(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*d - 2*i = -104, 76*d - 43*d = 35*d - 4*i + 56 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 17*c - 12. Let o(f) = -36*f + 27. Let g(x) = -4*o(x) - 9*s(x). What is g(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*l - 14, 0 = 3*o - 4*l + l + 3. Suppose z - 2*g - 600008 = 6*z, o*z + 239996 = g. Round z to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/27 and 25\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 10:12 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1. Let x(i) = -7*i + 5. Let z(n) = -4*f(n) - x(n). Let y be z(1). Is (-2 - -3)\/(y\/630) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*i + 715 + 140. Solve i*d - 51*d + 6 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1374 + -1372. What is the nearest to 1\/4 in -5\/8, b, -1, -4?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-21)*3*2. Suppose -v = 7*u + 27. Let q(z) = z**3 + 5*z**2 - 2*z - 4. Calculate q(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -10. Let o = -1.69 - -0.207. Let b = o - -1.083. What is the closest to b in u, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 252315 (b) -7 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (48 - 10*n - 48)*(3 - 1 - 3 + (0 + 2 - 3)*(0 + 1 + 0) + 6 - 4 - 4) to h*n + r and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 10:15 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d + 2*d + 0*d + 4*d. Let n(h) = -h**2 - 5*h - 3. Let x be n(-2). Let c(w) = -x + w + 3. Determine u(c(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -2 (b) 3755\/11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-5)*40\/(-3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + a**2 + 5*a - 19. Let c be r(-5). Let d = c + -114. Let x(y) = 5*y + 1. Let m(b) = -14*b - 2. Determine d*x(l) - 3*m(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/11)\/f*f*(f\/((f\/((((f**(-1)\/f)\/f)\/f)\/f))\/f))\/f)\/(f**(-1\/14)*f*f**7\/f) assuming f is positive.\nAnswer: f**(-1865\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**7)**(2\/3))**(-10) assuming k is positive.\nAnswer: k**(-140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/5 (b) 11 (c) -1018 (d) -0.13 (e) 2\/5 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04569 - -0.045693927. Round q to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1562 = -7433*w + 7362*w for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.02, 0, 11, -5\/18?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 0.2, 1, 0, 89, -24 in descending order.\nAnswer: 89, 1, 0.2, 0, -24, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 67. Calculate n(-12).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3041 or -91219\/30?\nAnswer: -3041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (288\/(-22))\/(-6) + 208\/(-176) + 1. Let p = 13.3 - -2.7. Which is the closest to 2? (a) p (b) q (c) -2\/9 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (8 - 20))\/50.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*a - 198*a + 64128 = 0. Is 1336 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*r**2 + 3979*r**4 + 0*r - 3949*r**4 + 0*r wrt r.\nAnswer: 720*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 - 1698*j**2\/5 - 480534*j\/5 - 45330374\/5.\nAnswer: -2*(j + 283)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/226*(-26)\/39. Is g at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 - 859\/10. Let x(l) be the third derivative of 3*l**2 + 1\/3*l**4 + 0 + c*l**5 + 0*l + 1\/3*l**3. Factor x(r).\nAnswer: 2*(r + 1)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k + 23. Let q be c(-17). Suppose 0 = 5*h - 1161 + 31. Let p = h - q. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.4 (b) 3 (c) -2\/3 (d) 1\/3 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 21*m**2 + 7*m - 17. Let c be h(21). What is the second derivative of 17*o + 0*o**2 + 130 - c - o**2 wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1370888 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 496641, 496612, 496583, 496554, 496525, 496496?\nAnswer: 496467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/8041196?\nAnswer: 3\/8041196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -303331\nAnswer: -303331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*g = 0, 6*m + 5*g = 8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4000 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36932103 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1000879581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 2, o: 1, u: 1, w: 1, y: 1}. Give prob of sequence so.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260064 divided by -688.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -10. Suppose -24 = -3*a - u - 3*u, 4*a - 3*u = q. Let z(x) = 2*x**2 - 4*x. What is the smallest common multiple of 20 and z(a)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.3, -4, 10, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-9)*((-4374)\/180)\/(-27). Suppose -1\/2*v**5 + 0 - 3*v - a*v**4 + 7\/2*v**2 + 3\/2*v**3 = 0. What is v?\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2956744*a**2 + 2956744*a**2 + 26*a**3 + 9*a + 23*a**3.\nAnswer: 49*a**3 + 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -35, -6, 5 in descending order.\nAnswer: 32, 5, -6, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 214310 and 2?\nAnswer: 214310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 164192711 a multiple of 381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-2)*16\/(-4). Let k be (v\/(-6))\/((-10)\/15). Let r(g) = -3*g**3 - 3*g**2 + 2. What is the tens digit of r(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -69566171.64 to the nearest 1000.\nAnswer: -69566000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 43*b + 23. Let x(p) = -38*p - 29. What is -8*q(y) - 9*x(y)?\nAnswer: -2*y + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12824\/11 - -1165. Let j = 12619\/17754 + 4\/2959. Calculate the common denominator of j and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(1404\/(-72))*1\/((-2)\/33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.1594889, 1, 4\/7 in descending order.\nAnswer: 1, 4\/7, -3.1594889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2338.\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2 - 12. What is the remainder when 5 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heexexeehxhhhxe. What is prob of picking 2 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 7:37 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 1773267.\nAnswer: 1773267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**6 + 8491*b**4 - 665*b**3 - 1505*b**2 - 39*b - 224.\nAnswer: 480*b**3 + 203784*b - 3990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -19.91. Let j = 1567.90985 + -1568. Let c = j + h. What is c rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4715 smaller than 2136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p + 1. Let a(x) = -4*x + 1. Give 6*a(z) - 5*m(z).\nAnswer: -9*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102123 is divided by 458?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 2:20 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1576381*z**3 - 3774915*z**3 + 370994*z**3 - 3455604*z**3.\nAnswer: -5283144*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-477)\/(-12))\/(-3) + 1683 + -1674?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-200)*5)\/((-4)\/50)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1327 (base 16) to base 13.\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 545.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112127.3 decades to millennia.\nAnswer: 1121.273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12870, -1, -694, -5 in decreasing order.\nAnswer: 12870, -1, -5, -694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107\/3 - -419\/12. Let y = -0.6 + 1. Let h = 129991 + -129991. What is the closest to h in g, y, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111900*i**2*n**2 + 4149275*i**2*n - 11*i*n + 32*n**3 wrt n?\nAnswer: -223800*i**2 + 192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 4, 1252, 5 in increasing order.\nAnswer: -4, -2, 4, 5, 1252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/5)\/((-42)\/630) + 11. Solve 20*l + s = 24*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**3 - 4*c + 6. Let x(i) = -100*i**3 - 44*i + 74. Let z(u) = -20*u**3 - 9*u + 15. Let r(b) = -2*x(b) + 11*z(b). What is 17*q(g) - 6*r(g)?\nAnswer: g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + 5 + -20 + 2. Let t be g*(-5 + (-18)\/(-4)). Solve -5*a + 10 = -4*o, -t*a - 35 = 5*o + a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-133) - (-104)\/(-28)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5616)*2)\/(-1*sqrt(9)\/sqrt(3))*5.\nAnswer: -120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 4*c**2 - 3. Let h be 4 + (-4 - -3)\/1. Calculate the remainder when 55\/(-2)*(-16)\/10 is divided by i(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/84 - 50\/(-8). Find the third derivative of 3*t**r - 14*t**2 - 14*t**6 + 46*t**2 wrt t.\nAnswer: -1320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 231*m**3 - 7*m**2 - m - 5. Let i(q) = -2*q**2 - 2. Give 4*i(o) - s(o).\nAnswer: -231*o**3 - o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffi when three letters picked without replacement from {i: 1, f: 3, d: 7, h: 3, x: 5}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 36*i**2 - 13*i + 36. Let s(t) = -t**3 - 25*t**2 + 6. Let f be s(-25). Calculate the lowest common multiple of k(f) and 20.\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*i**4*o - 27*i**3 - 2*i**2*o**2 - 17485*i*o**2 wrt i?\nAnswer: 792*i**2*o - 162*i - 4*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*f + 95*f - 233*f + 88*f - 11*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 1:34 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -63*a**3 - 34*a**2 + 7. Let u(t) = 31*t**3 + 17*t**2 - 3. Let s(h) = 3*o(h) + 7*u(h). What is the third derivative of s(c) wrt c?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by (-4)\/3*1161\/(-36)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 31*u. Let g(f) = -22*f + 166. Calculate g(h(n)).\nAnswer: -682*n + 166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26857\/(-153361) - (-6)\/39\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/4 + 2\/8. Let r(m) = -17*m - 8. Let d(q) = -12*q - 7. Let f(z) = 4*d(z) - 3*r(z). Determine f(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-23)\/((-3174)\/(-115))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 183\/122 + 38\/(-28)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**2 - 5*g**2 - 3*g**2 + (-g + g - g)*(5*g - 2*g - 2*g) + 0*g**2 - g**2 - g**2 - 4*g**2 + 2*g**2 + 4*g**2 + 0*g**2 + 2*g**2 - 6*g**2)*(0 - 5*g + 0).\nAnswer: 35*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 3*y**5\/160 - 5*y**4\/32 + 3*y**3\/16 + 27*y**2\/16 + y + 2. Solve t(f) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/11))**(2\/55) assuming s is positive.\nAnswer: s**(-2\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 492269, 984534, 1476799, 1969064, 2461329?\nAnswer: 2953594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 33*r - 113*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b**2 - 109*b + 193. What is a(16)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2\/15 + 47422*j\/5 - 142264\/15 = 0. Calculate j.\nAnswer: 1, 71132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 + -17?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1084 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0283 and 3.\nAnswer: 2.9717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1, -2, 1.\nAnswer: -14, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 165573*0.18\nAnswer: 29803.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q + 0*q + 17 - 2*q - 6*q. What is the smallest common multiple of 2 and o(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123865 is divided by 10207?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6 + 1. Suppose 0*d - 5*d = n. Calculate the remainder when d*(18*-3 + 3) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 3, 4, 3\/2, -5\/2 in descending order.\nAnswer: 4, 3, 3\/2, 2\/5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 6*d + 5. Let r be b(-3). What is the common denominator of (6\/20)\/(r\/(-48)) and (1 - -10)\/(1*6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/30 + 1\/3. Suppose -190 = -5*k - 2610. Let x = k + 475. Which is the nearest to -1? (a) w (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 3*q = -4*s + 59, s + 336*q = 5*s - 6*s - 6722 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:54 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*r**3 - 12 + 45*r**3 - 2*r**2 + 3*r**2 + 2 in the form v + m*r + z*r**2 + j*r**3 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**5\/20 + d**4\/8 + 2*d**3\/3 - 7*d**2. Does 18 divide b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1217 divided by -3\nAnswer: 1217\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 413 = -16*x. Let q be 91 + -4 + 3\/(-1). What is the greatest common factor of x and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 >= -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 2, h: 1, e: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a. Let s(q) = 3*q + 28. Let h be s(-9). Let r(d) = 18 - d - 8 - 10. Determine h*b(g) + 2*r(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, 2\/3, -27, 1\/2, 2\/207, -0.2, 8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*s + 8. Which is the biggest value? (a) 1.1 (b) 2\/3 (c) s (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3315386 and 2004652.\nAnswer: 86200036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(-9)*(4 + -1). Let k = s - -8. Factor -3\/2*h**4 + 0*h + 0*h**2 + 2*h**5 + k - 1\/2*h**3.\nAnswer: h**3*(h - 1)*(4*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 56 = 19*v. Let s be (-44)\/6*21\/v*-2. Suppose -1 = m - 6. Solve m*z - 7 = -s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556 = -44*z + 3152 for z.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 9*k + 21, -197*x + 199*x + 27 = -3*k for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7896 + -3361. Suppose -27*f = -28*f + c. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1121*p + 1. Let x(j) = 10749*j**2. Determine y(x(w)).\nAnswer: -12049629*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 2, h: 1, m: 1, p: 1, u: 1}. Give prob of picking 1 h and 1 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-7) + (-5192)\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**32\/k*k*k**33)\/(k**(13\/5)\/(((k**(-4)\/k)\/k)\/k)) assuming k is positive.\nAnswer: k**(277\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 7 + 6)*(p**3 + p**3 - p**3) + 2*p**3 - 15*p**3 - p**3.\nAnswer: 34*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86 and 8.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26653, -53306, -79959, -106612, -133265, -159918?\n\"Answer: -26653*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3022 to two decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t**2 + 9*t + 2. Let h(x) = -5*x**2 - 5*x - 1. Let u(v) = 26*v - 108. Let y be u(-6). Let d be (y\/36)\/(4\/(-6)). Determine d*h(k) + 6*l(k).\nAnswer: -k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 - 5 + 2*y**3 + 88*y - 5*y**3 + 12.\nAnswer: -4*y**3 + 88*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33173.1 - -33173. Let y = -1.7 - 0.3. Which is the closest to z? (a) y (b) -1 (c) 0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 1. Let r be o(5). Let i = 3 - r. Sort i, 3, 2 in increasing order.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + z = 2*z, 4*z = -16. Let n(o) = o**3 - 2*o + 1. Let i(d) = -d**2 - d - 1. Let c(t) = -i(t) + n(t). Determine c(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 14*p**2 + 0 + 27*p**2 in the form a + q*p**2 + t*p and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 4*r + 6. Let a be t(-5). Let s(b) be the first derivative of b**3 - a + 2\/15*b**5 - 5\/6*b**2 - 7\/12*b**4 + 1\/3*b. Factor s(j).\nAnswer: (j - 1)**3*(2*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69536124 by -103.\nAnswer: 675108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 251187 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3824204884.99999814 + 3824204827. Let k = 58 + d. Round k to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.449 + 6.4. Let x = j + -20.951. Let p = x + 20.5. Put -1\/5, 12, p in decreasing order.\nAnswer: 12, -1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374325659?\nAnswer: 374325659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 836239439.\nAnswer: 7, 17066111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*w**2 - 4*w**2 - 3*w**2 + 3 - 3 - 4*w**2 + (-w - 4*w + 7*w)*(3 - 3 + w + (-2 + 4 + 0)*(w - 2*w + 3*w)).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 1:05 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 15) in base 4?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 781, 752, 689, 580, 413?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3627\/(-12))\/(9\/(-156)). Calculate the greatest common divisor of u and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/18)\/((-400)\/45600).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -48 + 0 + 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -17. Let h be -5 - -6 - 12\/p. Put 0, 4, h in increasing order.\nAnswer: h, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five fourteenths of a week?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12258*f**2*r**3 + 676*r**3 wrt f.\nAnswer: 24516*f*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 1086352?\nAnswer: 7604464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - g = 0, 6 - 8 = 2*g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095 is divided by 100?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12586708, -12586707, -12586706, -12586705, -12586704?\n\"Answer: h - 12586709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 0 + 2)\/1. Let h be (1 - -9) + -2 + r. Let q = h - 4. What is the second biggest value in -2, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1065*0.9.\nAnswer: -958.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 20*m + 13. Let j be s(21). Let x(y) = y + 9. Let g be x(j). Solve 3*b + g - 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -241*y**6\/40 - y**5\/60 - 221*y**4\/12 - 2176*y**2. Find the third derivative of a(t) wrt t.\nAnswer: -4338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3192286919 and -1.\nAnswer: -3192286920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 113 = 5*s + 3*l, -4*l = -4*s + 84. Calculate the smallest common multiple of 14 and (-3)\/5 - (-215)\/s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -136279 - 4?\nAnswer: -136282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -236875 plus 49323715?\nAnswer: 49086840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siiqicqwi. What is prob of picking 1 i and 1 s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from myymmmmymyymy. Give prob of sequence ymyy.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 21426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5 + 161. Let s = -39 - q. Solve -2*d + 6*d + 12 = s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyoeyoyodyyey. Give prob of picking 1 d and 2 o.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/((j**0\/j)\/j*j)))**(-45))**(-36))**(1\/6) assuming j is positive.\nAnswer: j**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**4 - 2*m + 2*m + (-5*m**3 + 4*m**3 - 4*m**3)*(2*m - m + 0*m).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 + 223 = 3*g, -7*j + 2*g = -8. Solve 7 = -3*r + 2*t + j, 4*r = t - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311010830 to the power of 1\/2, to the nearest integer?\nAnswer: 48073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 15172*x. Let m(d) = -10*d**2 + 4*d + 52. Let u(t) = 2*t**2 - t - 13. Let c(q) = m(q) + 4*u(q). Determine f(c(w)).\nAnswer: -30344*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*a**2 - 5 + 5.\nAnswer: 280*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1 + 6 - 4 + 0 + p. Let h be u(0). Solve 3*y - h = -15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39)\/84 + (-6)\/(-8). Which is the closest to 0.3? (a) n (b) 1\/6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 22*o - 48. Let d be r(15). Suppose -6*i + d = 2*i. Solve 3 = 3*m + i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 686126.0943 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4052 (base 6) to base 3.\nAnswer: -1020012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8330.421 weeks to seconds.\nAnswer: 5038238620.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1555, 17, 0, -15, 5, 1.\nAnswer: -1555, -15, 0, 1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 164 = -3*o. Suppose 4*z + 2*n = -n + o, -z + 29 = 5*n. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250.19 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 17 = -3. Let z be (-1*43)\/(n\/(-20)). Let i = 90 - z. Which is bigger: 33\/8 or i?\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 2)*(-2*q - 3*q**4 + 2*q) - 1432*q**4 + 1485*q**4 - 745*q**4)*(3 - 2 - 2).\nAnswer: 695*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -1)\/((-10)\/15). Let m(w) be the first derivative of -2 + 1\/2*w**4 + l*w + 0*w**2 + 0*w**3. Differentiate m(j) wrt j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 (base 9) in base 8?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2601279, 5202531, 7803783?\nAnswer: 10405035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 27 - -3.7\nAnswer: 30.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**3 + m**2 - 6 + 6 - 4*m**2 to a*m**2 + o*m + n + g*m**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Suppose -4 + 2 = m*o - 2*l, 8 = -o + 3*l. Which is the third biggest value? (a) -3\/2 (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.297*245\nAnswer: -72.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 90900 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/2 - 13598531*m**2\/6 + 2568333585568*m + 856111447014 = 0.\nAnswer: -1\/3, 2266422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 2824628*s**2 - 498952751232*s - 104157778949136.\nAnswer: -4*(s + 209)*(s + 352974)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2703*z**3 - 32710*z**3 - z**2 - 17134*z**3 + z**2 + (5*z**2 + 0*z**2 - 3*z**2)*(2*z + z - z) to the form v*z**2 + q + w*z**3 + u*z and give w.\nAnswer: -52543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.58 and 1072.409.\nAnswer: 1694.40622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 24) + (20\/(-5) - -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + 0 + (-1 - -2). Suppose 2*b = 2 + 2. Suppose -3*d + 25 + b = -5*w, 0 = -d - 5*w - 11. Solve -l = d*k + 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**2 - 10*v + v**3 + 2*v + 0*v. Let o be c(-6). Let u = 7 - o. What is the nearest to -3 in 0.5, -2\/13, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.405 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 604 + -602. Let r be 3\/(-2)*(-1 + -1). Suppose 5*m - 35 = -5*o, -r = 2*m - 2*o - 1. Solve -25 = m*y + h*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 4*o**2 + 6. Let l be ((-6)\/(-3))\/(3\/6). Let x be k(l). Suppose -x*v - 24 = -90. 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 q = -14 - -19. Let f = -42.6 - -41.6. Which is the closest to f? (a) q (b) -4\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 7. Let p be 3\/(-3) - (-90)\/10. Suppose -z + p = -m. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*d - 102*d + 63322 = -5*w, 0 = d - 5*w - 15853. What are the prime factors of d?\nAnswer: 15823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01324937961 rounded to six dps?\nAnswer: -0.013249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/5 - 16*a - 160 = 0. Calculate a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41.32 + -33.8. Let s = y - 7.6. Sort -4, 0, s in ascending order.\nAnswer: -4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -692*g**2 + 12*g. Let u(l) = 2*l + 727. Give u(z(f)).\nAnswer: -1384*f**2 + 24*f + 727","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o**2 - 7*o - 4. Let f(s) = 9*s**2 - 8*s - 5. Let g(z) = -10*z**2 + 9*z + 6. Let j(p) = 3*f(p) + 2*g(p). Calculate 6*j(y) - 5*k(y).\nAnswer: 2*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwbqqeooosob. Give prob of sequence sbqo.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*h**2 + 0*h**2 - h**2 in the form u*h**2 + k + i*h and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r**(-4\/15)*r))*r**(-4))\/(r*r*r*r\/r**(-15)*r*r\/((r*r\/(r**(-20)\/r))\/r)) assuming r is positive.\nAnswer: r**(-49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-2 - 4) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -244 - -274. Is x equal to -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 20 = -14*o. Let j be 2\/(32\/o - -2). Solve -2*u + s + j = 0, 3 = s + 2*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 6 + 5 - v**2 - 4*v**2 in the form o + n*v + z*v**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -13*x**2\/2 - 17*x - 2. Let g(y) be the third derivative of y**4\/8 + 2*y**3\/3 - 6*y**2 + 241. Determine 9*g(b) + 2*z(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2*m + 20 = 0, 30*p + 5*m + 16 = 34*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m - 35. Determine t(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 - (-40)\/16. Let i be 7\/m + 3\/(-6). Find a such that 0*a + 0*a**i + 0 - 2\/5*a**5 - 2\/5*a**4 + 0*a**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-16)*(-10)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10088 - 10087.5. Which is the fourth smallest value? (a) 4 (b) 1 (c) 2 (d) m (e) 4.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1161*z + 1162*z - 4 = 0. Calculate the highest common factor of z and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by 180?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(4*sqrt(60)\/sqrt(2) - sqrt(3630)*2))\/((1*sqrt(80)*-5)\/(sqrt(8) + (1*sqrt(968) - sqrt(968)) + sqrt(968) + sqrt(8))))**2.\nAnswer: 164268\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10 = 4*c. Suppose 150 = 2*w + 2*d, -w - c*d = -0*d - 78. Suppose -w = -7*g + 4*g. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40.31 + 40.30969085. What is k rounded to 5 dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179707571.9 rounded to the nearest one million?\nAnswer: -180000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, 1\/4, 0.7, -19, -5.\nAnswer: -19, -5, 1\/4, 0.3, 0.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -720*z + 734*z. Put 5, -110, z in decreasing order.\nAnswer: 5, z, -110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3895.81 millilitres in litres?\nAnswer: 3.89581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7*n**6 - 6*n**4 + 35*n**2. Let l(x) = x**6 - x**4 + x**2. Let v(a) = -6*l(a) + s(a). What is the third derivative of v(z) wrt z?\nAnswer: -1560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 531 divide 48888108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29391571 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 528247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*m - k + 5*k, 0 = -3*m - 5*k - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*o*x**2 + 459*o + 263*x**4 - 2*x**2 + 189 wrt x?\nAnswer: 8*o*x + 1052*x**3 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262856 and 34166?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a factor of 9282347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-34)*(-60)\/(-15)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11100113100 (base 4) to base 2\nAnswer: 101010000010111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 8 (c) 5 (d) -4 (e) 2.823 (f) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1000?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -26664\/41 greater than -650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s. Let l(b) = 1. Suppose 0 = -2*o + 8, -5*y + 3*o - 6 = -2*y. Suppose 4*v - 2 = y*v. Let m(j) = -j**2 + 1. Let r(a) = v*l(a) - m(a). Give r(i(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**3\/3 - 5*r**2 + r. Suppose 39 = 4*h - 17. Calculate the remainder when h is divided by a(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2. Let v(l) = -63*l**2 - 2*l. Calculate t(v(b)).\nAnswer: 7938*b**4 + 504*b**3 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ae9 - 34483?\nAnswer: -32889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f + 44016 = -15*f. Is 23 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 3*l = 11. Is l at most -2.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2 (c) -1132 (d) 0.5 (e) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31006*u**2 - 24859*u wrt u?\nAnswer: 62012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 2.8. Let f = m - 5.8. Let d = f - -32.9999995. Round d to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 415 + -487. Let n = 129 + s. Calculate the remainder when n is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*d + 16, 3*n = 6*n - 12. Solve 0 = z - d + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -340966*r**3 - 7*r**2 - 2*r + 5180 wrt r.\nAnswer: -2045796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.072, 1\/3 in ascending order.\nAnswer: 0.072, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/273 and -86\/693?\nAnswer: 9009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 905193215 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36585689 not equal to 36585688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2322565, -4644902, -6967239, -9289576?\n\"Answer: -2322337*l - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 11*t - 16. Let f be g(-3). Which is the third smallest value? (a) f (b) -1 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1745062279408 + -57.\nAnswer: 1745062279351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185276 is divided by 30874?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*w + 10, -5*w - 12 = c. Let i(b) = 4*b**2 + 20 + 0*b - 8*b**c - 18 - 2*b + 6*b. What are the prime factors of i(-2)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -249953 divided by -8063\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18667*t - 111995*t + 18668*t + 18667*t + 18664*t + 18662*t + 18664*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 16*n + 2. Let l be m(4). Solve -3*d + 0*d = l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-64)\/10)\/(4\/(-10)). Suppose 3*k - k - f = 0. Solve 0 = 2*u + 5*i + 6, u + 7*i = 2*i - k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -2. Let m be (4\/(-12))\/(8\/(-6)). Let b = -1 - -1. What is the closest to b in o, m, -3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(5\/2))\/l)**(-14)*(l**(-2)*l)**(5\/14) assuming l is positive.\nAnswer: l**(-495\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187 - 185.87. Let t = 0.07 + l. Round t to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + 60 - (1 - -1 - 17 - -2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 (base 5) in base 9?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 51522*g**2 - 221209707*g.\nAnswer: -3*g*(g - 8587)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 5. What is the least common multiple of ((-18)\/4)\/(s\/12) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 - -62 - (0 + -1)) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = b - 41, 165 = 3*b - 2*r + 17. Calculate the remainder when 365 is divided by b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13034 + 4?\nAnswer: -13030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -210538858117 - -210551833461.000026. Let m = -12975331 + f. Let i = 13 - m. Round i to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aatatarrrattaar. What is prob of sequence ratt?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/7 + (-1378)\/(-742)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -3 (c) 4 (d) -418\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14636 (base 7) in base 3?\nAnswer: -12121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*s - 13, 4*s + 27*b - 24*b + 25 = 0. Let g = -124 - -124. Sort g, 0.22, s in decreasing order.\nAnswer: 0.22, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -46 - 2. Factor -2 + 2 - 16*r + 40*r**2 - 8*r**3 - 4*r**4 - m*r**2.\nAnswer: -4*r*(r - 1)**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/u**(1\/8))*u**(-1\/34) assuming u is positive.\nAnswer: u**(13\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-6*(sqrt(432) + 3) - sqrt(432))**2 + -5) + 3 + (3*3*sqrt(432))**2 + -2.\nAnswer: 15120*sqrt(3) + 142428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-86 + 86 + 41*y)*(-3*y**2 - 3*y**2 + 13*y**2).\nAnswer: 287*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.71 - 27926?\nAnswer: -27967.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1235.44 take away -7?\nAnswer: -1228.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*c + 465 = -6*c + 76*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350) - -6*(sqrt(350) + 2*sqrt(350)) - sqrt(350))\/sqrt(10))\/(5*(sqrt(5) + sqrt(720)*3)).\nAnswer: 18*sqrt(7)\/185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-15 - -10) - (2 + 0). Let x(f) = -f**2 - 2. Let k(b) = b**2 + 3. Let l(q) = h*x(q) + 2*k(q). Let n(y) = -76*y - 1. Calculate n(l(d)).\nAnswer: 76*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00164784132 rounded to six dps?\nAnswer: 0.001648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -45. Suppose w*x - 4670 = -x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/21 - (-200)\/390. Let l = 4 + -4.2. Let o = l + 1.2. What is the biggest value in o, p, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1834083 and 729.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j - 132 = 0. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -176 + -3a3c8?\nAnswer: -3a571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 784.422379 - -0.403\nAnswer: 784.825379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-4*g + 6*g - 3*g)*(0 - 2*g + 0 + (2*g - 5*g + 2*g)*(1 + 1 - 4) + 2*g - 3*g + 2*g) + 2*g - 4*g**2 + 21*g - 22*g.\nAnswer: -6*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.8 + 3. Let p = 0.17 - c. Round p to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -193006 - -193003. Let g = 78 + 0. Are g and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a factor of 54175127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.243 to one decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000359278493 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -673, 4, -3, -5, 77 in ascending order.\nAnswer: -673, -5, -3, 0, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1560, -109, 12, -0.3, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42718*y + 845138 = 42752*y. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 24516?\nAnswer: -24517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -70*v**3 - 12*v. Let m(g) = -28*g**3 - 5*g. What is 5*a(x) - 12*m(x)?\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10157 rounded to the nearest 100?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - j - 2 - j + 2*j + 0*j + (-5 + 1 + 3)*(-2*j + 0*j + j) - 111*j + 56*j - 512*j.\nAnswer: -566*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -11.0721.\nAnswer: 22.0721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 9:35 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 40*z - 66. Let k be s(2). Solve -k*p + 28*p = 56 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**4\/3 + 2*k**3\/3 + 26*k**2 - 3*k - 2. What is the first derivative of z(c) wrt c?\nAnswer: 8*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116 + -61. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/12)\/(46\/(69920\/114)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/1*302\/31408.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 894480 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4316672 millimeters to kilometers.\nAnswer: 0.0000004316672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 15 = 3*s - 5*c, 2*s - 10 = 2*c. Solve -4 = s*u - 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -373*f**4 + 4*f**2 + 237 + 437 + 15 - 4*f**2 wrt f?\nAnswer: -1492*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15257 and 464645?\nAnswer: 5111095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**2*n**3 - 31585*g**2*n**2 - g**2 - 5391*n wrt n.\nAnswer: 12*g**2*n - 63170*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 5*c - 30, 10*f - 8*f - 9 = -5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.023 * 0.5263.\nAnswer: -0.0121049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.766 + -707554770\nAnswer: -707554768.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -117 or -1169\/10?\nAnswer: -1169\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22209 and 3652.\nAnswer: 7373388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + 34*d - 2*d - 75*d in the form v*d + p and give v.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 12*f - 6. Calculate g(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -74293 and 2.\nAnswer: -74291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -s + 2*h, 4*s + 2*h - 24 = -8. Solve -s*n = -10*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7)*(((u*((u*((u*u**(-3))\/u)\/u*u)\/u*u)\/u)\/u)\/u)\/u)**(-1\/14)*(u**0)**(1\/2)\/(u\/(u**(-3)*u)*u**0) assuming u is positive.\nAnswer: u**(-261\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.68 - 4?\nAnswer: 14.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 12*n**3 + n**2 + 8*n - 16. Give b(2).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -5*n**5\/84 + 5*n**4\/84 - n**3\/42 + 4*n**2 - 7. Let m(l) be the second derivative of c(l). Factor m(r).\nAnswer: -(5*r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 7. Let m be u(-7). Let t be (m\/(-8))\/((-1)\/4). Suppose -4*k + t*k + 4*n - 37 = 0, 0 = 5*n - 20. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1328800, 1328798, 1328794, 1328788?\n\"Answer: -i**2 + i + 1328800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 124*m**3 + 147*m**3 - 16*m**3.\nAnswer: 255*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1144)\/(-117) + -10)*((-3)\/(-4))\/3.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1236*u + 953*u - 517*u as f + d*u and give d.\nAnswer: 1672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 495 - 143*i - 22*i**2 - 595 - 13*i**2 + 3*i + 0*i**3.\nAnswer: 5*(i - 10)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*n - 25583 = 183*n + 25321. Which is the smallest value? (a) 1\/2 (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 605, -8.2, -0.4, 4, 1\/2, -5\/2 in increasing order.\nAnswer: -8.2, -5\/2, -0.4, 1\/2, 4, 605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**5 + w**4 + w**3. Let s(g) = -9*g**5 + 16*g**4 - 24*g**3 - 10*g**2 + 25*g - 10. Let h(t) = 4*p(t) + s(t). What is b in h(b) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110 + 30. Let m = o + 95. Let v be (9\/m)\/(2\/30). Solve 5*j - 3*p + v = 0, -5*p - 1 + 16 = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.35, 16, 1\/19 in increasing order.\nAnswer: 1\/19, 1.35, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 780 and 68016.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47356448?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*t + 2, 0 = -4*j - j + t + 19. Let a be ((-5)\/(-10))\/(j\/48). Suppose -m = -o - a, 3*o = -4*m - o. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70978?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2947*s - 2953*s = -66. Let p(q) = -q**2 + 7*q + 10. Determine p(s).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 66?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-136))\/((-7)\/(406\/2)) - -3?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70656660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44880 + 504. Let w = 75145 + m. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + w**2 - 13*w - 6. Let t(h) = -h**3 + h**2 - h - 1. Calculate s(f) - 4*t(f).\nAnswer: 2*f**3 - 3*f**2 - 9*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1693132 to the nearest integer?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = -a, -3*a - 2*k + 4*k + 7 = 0. Suppose -2*m + 5*y + 98 = 0, -a*m - 3*y = 2*y - 122. Is m a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14226764809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 875 + -9605\/11. What is the common denominator of w and 73\/15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(360)*4*5)\/(sqrt(40)\/(sqrt(15)\/sqrt(3)) + sqrt(800)*1 + sqrt(8)).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z - 455 = -43*z. Suppose -5*b - 3*j + z = 0, 3*b - 5*j = -0*j + 39. Calculate the remainder when 44 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*x = -4, -3*d - 4*x = 1 - 3. Let c = -9.924 + -0.076. Sort 0.5, c, d.\nAnswer: c, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 8:13 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-12))\/((-1)\/10). Find the common denominator of 5\/((-6)\/h*1) and 89\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004113 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*v**2 + 3 - 3 + 71*v**2.\nAnswer: -234*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 1\/6*n**4 + 19\/2*n**2 + 120*n - 7\/6*n**3 + 0. Let r(w) = -w**2 + 4*w - 10. Calculate -5*r(j) - 3*s(j).\nAnswer: -j**2 + j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337477784 a multiple of 699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.686 + -1?\nAnswer: 73.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1080, 4292, 9638, 17112, 26708, 38420, 52242, 68168?\n\"Answer: -x**3 + 1073*x**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/3 - 26*y**2\/3 - 20096*y\/3 + 40280\/3 = 0.\nAnswer: -95, 2, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4 = t. Suppose -t*c = -3*c + 66. Let s = c - 40. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 + 129.7. Round o to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-10)*(-400)\/(-120)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 20, 0.4, -4 in ascending order.\nAnswer: -4, -2\/5, 0.4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -12*k**2 + 9 - 21*k**2 + 32*k**2 - 2*k. Let u be b(-4). Suppose -r + 0 = -u, -2*q = -r - 7365. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - v + 1 + (0*v + 0*v + v)*(0 + 4 - 2) - 350*v - 1355*v - 412*v.\nAnswer: -2116*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c + 111. Let q(h) = 2*h + 56. Let v(n) = 4*k(n) - 9*q(n). Let u(j) = 12077*j**2 - 6052*j**2 - 6026*j**2. What is u(v(s))?\nAnswer: -4*s**2 - 240*s - 3600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/1 - (3 + -2). Let a be ((-2)\/u)\/((-1)\/(-3)). Let w(b) = 4*b**3 + b**2. What is the units digit of w(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -25*x**3 - 128*x**2 - 4*x + 15. Give v(-5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(-21)\/c)*c*c*c**(-18) assuming c is positive.\nAnswer: c**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.08 + 0.62. Let j = b - 0.74. Let z = j - 0.01. Is z at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3999, 7866, 11733?\nAnswer: 15600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 18*q + 17*q. Solve 45 = -5*c + q*i, -5*c - 6 = -i + 23 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 20*z**2 + 18*z + 12. Let o be l(19). Let w = o + 11. Suppose 0 = -9*y + w*y + 30. Let x(c) = c**2 - 9*c + 6. Determine x(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 20135234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**2 - 13*u - 1035. List the prime factors of p(-79).\nAnswer: 2, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvj when three letters picked without replacement from {j: 1, t: 2, v: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4626*d + 628*d + 16767 - 112719 = 0 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - 8 - (-15 + 1). Suppose -6*n + f*n - 20 = 0. Let o(s) = -3*s**2 + 3*s - 2. Let z(i) = -i**2 - i - 1. Let h(y) = -o(y) + 2*z(y). What is h(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**4\/24 - p**3\/6 + 4*p**2 + 6*p + 114. Let t(o) = 1. Let v(i) = -1. Let b(a) = 4*t(a) + 3*v(a). Calculate -5*b(u) - 3*w(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514670177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s = 24*s - 4330. What is s rounded to the nearest 100?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1537 + 772 = 3*y + l - 782, -3*y - 85*l + 437 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w + 143 + 49 = 0. What is the least common multiple of 46 and w?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -41*u + 6. Let n(a) = 3115*a - 455. Give 6*n(i) + 455*x(i).\nAnswer: 35*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-87)\/(-3) + 3. What is the greatest common factor of q and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 9:01 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.88 + 1048.88. Do 3 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i - 8. Let g be b(4). Which is bigger: 21 or g?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**3 - 202895*y**2 + 9341105*y - 107453125 = 0.\nAnswer: -40625, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104640 = 34*i - 560138. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 35986.\nAnswer: 107958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011 - 1010120120?\nAnswer: -1010111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 916573 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2. Let g(z) = -8*z**2 - 2*z - 2. Let o(u) = -40*u**2 - 11*u - 11. Let y(s) = 11*g(s) - 2*o(s). Give h(y(d)).\nAnswer: -192*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + ((-1 + sqrt(192))**2 - sqrt(48)*-2*6 - (sqrt(576)\/(sqrt(588)*3))**2).\nAnswer: 32*sqrt(3) + 28502\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/28)\/(1200\/70). Let m(q) be the third derivative of f*q**5 - 1\/48*q**4 + q**2 + 0 + 1\/24*q**3 + 0*q. Factor m(b).\nAnswer: (b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 30*i - 28*i - 1, 14 = 2*n + 4*i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9538, 7021, 2826, -3047?\n\"Answer: -839*h**2 + 10377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/7 (b) -1\/50436 (c) 0.05 (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 49 - 95 = 0. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -18*d**2 - 206*d - 1. Let o(z) = -6*z**2. Calculate a(o(v)).\nAnswer: -648*v**4 + 1236*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3692 and 31408?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(-2*sqrt(300)) - (2 + (sqrt(605) + 2)**2).\nAnswer: -611 - 441*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -95 + 85 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**5\/45 + 7*i**4\/6 + 40*i**3\/9 - 6*i**2 - 2*i + 104. Let z(a) be the second derivative of x(a). Let z(v) = 0. What is v?\nAnswer: -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 30737?\nAnswer: -30737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(2\/41)*c*c*c)*c**(6\/11))\/((c\/(c*c\/(c\/(c*c\/(c**(-5\/7)*c)))))\/c*c\/((c\/(c*c\/(c*c**(-8\/5))))\/c)) assuming c is positive.\nAnswer: c**(-53496\/15785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, 5, 3, -5, -59 in increasing order.\nAnswer: -59, -5, 3, 5, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -45*x + 12. Let m(q) = -47*q + 10. Calculate -3*m(d) + 2*y(d).\nAnswer: 51*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(10)*4))\/(5*3*sqrt(2)).\nAnswer: sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 93 = -5*u, -36 = -3*i - 3*u + 72. Let b = -51 + i. What is the tens digit of -4*(b\/8 - -2) - -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 7:51 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 532 and 20734.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-20)\/u**(-1\/12) assuming u is positive.\nAnswer: u**(-239\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*o = -11*o + 72 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 8, 0 in increasing order.\nAnswer: -3, -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4136.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 2:45 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -8*s**3 - 12*s**2 + s + 22. What is the tens digit of o(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 310.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6240 (base 12) in base 5?\nAnswer: 320304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 1\/10, 2\/11, 5, 0, 11 in descending order.\nAnswer: 11, 5, 2\/11, 2\/19, 1\/10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*q)*(-63184*q + 63184*q - 264*q**2).\nAnswer: -792*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -351632*-46\nAnswer: 16175072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 43. Let k be (-112)\/(y\/(-6) - -3). Is k\/(-9) + 2\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3589*f - 114940. Give v(32).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -5. List the prime factors of (-2 + 2 + -10 + -1)*b.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*w - 94 = 0, 0 = -3*m + 4*w + w - 49. Let v = m - -21. Solve 0*g = v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 10:24 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 17. Suppose d - j = -9. Let h be d + (-1)\/((-5)\/15). Solve 20 = -5*p, -2*y - h*y + 8 = p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w**2 - 70*w + 70*w)*(-1617 + 1617 - 50*w) + 16*w**2 - 2*w**3 - 2 + w - 16*w**2 to the form s + y*w**2 + m*w**3 + o*w and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1. Let k(f) = f. Let x(z) = k(z) - 5*m(z). Let a be x(-3). List the prime factors of (27 + 1)*a\/4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 - -122. Suppose r = -g + 6*g. Calculate the highest common factor of 42 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4216 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -182581\/16 - -11416. What is the common denominator of j and -101\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185712 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*j - 260*j = 52. Let w(h) = -9 - j - 11 + 2*h + 29. Let n(y) = 2*y - 1. Let c(v) = -v. Let g(q) = 5*c(q) + 3*n(q). Determine -3*g(z) + 2*w(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v - 63. Let b be z(-17). Let n = -14 + 34. Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4 + 3 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**6\/120 + i**5\/120 - i**4\/12 - i**3 + 2. Let h(k) be the third derivative of t(k). List the prime factors of h(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10602509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39 + -4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 25*x**2 + 7*x + 150. Let k(n) = 24*n**2 + 6*n + 150. Let w(l) = 7*k(l) - 6*s(l). Differentiate w(a) with respect to a.\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y + 37 - 15 - 19 - y. Let u(r) = 2*r. What is u(l(d))?\nAnswer: -14*d + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from {h: 1, c: 11, f: 6}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 15*d**2 + 9*d. Let l be w(-1). Let o(x) = -7*x**2 - 8*x + 1. Let s(j) = -8*j**2 - 9*j + 1. Give l*s(b) - 7*o(b).\nAnswer: b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3264, -3746, -4540, -5640, -7040?\n\"Answer: s**3 - 162*s**2 - 3*s - 3100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8603 + 8939. Calculate the lowest common multiple of 1218 and n.\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 4. Determine b(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28213 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q = -3 - 45 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**6\/9 + 2*u**5\/5 + u**4\/2 + 2*u**3\/9 + 6. Factor d(k).\nAnswer: 2*k**2*(k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2210 - -3158. Let w = 956 - g. Solve w*a = -1 + 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -668, -2664, -5984, -10622, -16572, -23828, -32384?\n\"Answer: x**3 - 668*x**2 + x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -692*g**2 - 973*g**2 - 1176*g**2 - 665*g**2 + 788*g**2.\nAnswer: -2718*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15623988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 17*w**7\/21 + w**4\/12 - 39*w**3\/2 - 3*w - 4. What is the second derivative of t(f) wrt f?\nAnswer: 680*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 811 - 293. Suppose -r = -5*j + 4*r + 265, -5*j + 2*r = -c. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (-4 - -5)) + (92 - 105)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45502 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -104*p**3*t*y + 3*p**3*t + 5*p**3*y - p**2*t + 676*p**2 + 15*p*t*y - t wrt y?\nAnswer: -104*p**3*t + 5*p**3 + 15*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*s = -43*s. Factor -2\/7*y**5 - 2\/7*y**4 + 2\/7*y**2 + s*y + 0 + 2\/7*y**3.\nAnswer: -2*y**2*(y - 1)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -604546, -2418184, -5440914, -9672736, -15113650, -21763656?\nAnswer: -29622754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1111 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*h - 96. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 844 and 4828946.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16015935 divided by 1?\nAnswer: -16015935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000042 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.6 + 7.6. Let v = 0.1 - 0. What is the third smallest value in v, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246 + 35*p**2 + 0*p - 246 - p.\nAnswer: 35*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1, 29.29, -5, -2\/13, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 25*h + 26*h + 1470 = 0, 2*q + 5*h = 997. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, 4952, -15 in descending order.\nAnswer: 4952, 177, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3305*n + 162. What is l(0)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 703.3055 millilitres?\nAnswer: 0.7033055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 6*i**2 + 7. Let l be (30\/(-35))\/(2\/14). Let v be z(l). Let x = 12 - v. Solve k + k - t + 7 = 0, 3*k - 9 = -x*t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2058, -899, -6 in descending order.\nAnswer: 2058, -6, -899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 127\/((-29210)\/345)*(-184)\/6\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n - 14*n - 6*n)*(-10 + 8 - 3) to g*n + o and give g.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -213, -320, -427, -534?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3.6, -2\/5.\nAnswer: -2, -2\/5, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2593.3002 months to years.\nAnswer: 216.10835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1284)\/180 - (-2)\/15. Let n(t) = -7*t - 1 + 6*t - 6. What is n(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 885.4328t in grams?\nAnswer: 885432800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31900245*-4\nAnswer: 127600980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 262769 and 5576?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399762 is divided by 374.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/(-33) - (-522)\/297)\/((-2)\/24). Is 23 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, d: 4, o: 2, y: 3, i: 3, u: 1}. Give prob of picking 2 i and 1 d.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*a - 1224 = 5724 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14046205 - -1.3149\nAnswer: 14046206.3149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.703900826 rounded to 5 dps?\nAnswer: 0.7039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 4)*(3*v + v - 5*v) - 82*v - 210*v + 501*v in the form n*v + a and give n.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16236651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2)\/(1\/33). Suppose 2*v - 2 = v + 4*a, -3*v - 4*a + 22 = 0. Let s = o - v. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 118 = 203. Let c = -965\/9 - n. Put c, -0.4, 1 in descending order.\nAnswer: 1, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z - 5. Let p(o) be the third derivative of -7*o**4\/24 - 2*o**3\/3 + 118*o**2. Let c(t) = -6*t + 154. Let i be c(26). What is i*h(f) + 3*p(f)?\nAnswer: -5*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -17073 (c) -4 (d) 0.55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -807*x**2 - x - 290 wrt x.\nAnswer: -1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117441 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 4 - 2*y**2 - 4*y - 2*y + y**4 + 3 as q + h*y**4 + s*y + x*y**3 + f*y**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1199526.3 and -5.282?\nAnswer: 1199521.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (8 - 18) + 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/3 - 55*d**2\/3 + 758*d\/3 - 704\/3.\nAnswer: (d - 32)*(d - 22)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o - 35. Let r be q(-5). Suppose r = -3*m + 15, -2*j - 4*m + 239 + 141 = 0. Calculate the greatest common divisor of 72 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*k*p**2 + 2295*k*p + 19954696*k - 8*p**2 wrt p?\nAnswer: -40*k*p + 2295*k - 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*h**2 - 457*h + 457*h + (2 - 3 + 2)*(2*h**2 - h**2 + h**2) as g*h**2 + v*h + c and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4046 - -16185\/4. Let v(j) be the first derivative of -2 + u*j**4 - j + 3\/2*j**2 + 2*j**3. Give v(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/(q\/(q\/q**(-2\/11))*q)))\/q**9)**(-1\/6)\/((q**(-1\/5)\/(q\/q**(-2)*q))\/(q\/q**(-2\/5))**(12\/11)) assuming q is positive.\nAnswer: q**(457\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -467\/9. Let r(p) = p**3 + 12*p**2 + 9*p - 22. Let w be r(-11). Sort -1\/5, v, w in descending order.\nAnswer: v, w, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-3 + -4) - 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -z - 15, 16*u - 18*u = z + 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145851, -4, 4, 5 in decreasing order.\nAnswer: 5, 4, -4, -145851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -354 - -1061\/3. Let r be -5*((-24)\/(-6))\/2. What is the closest to q in -1\/2, r, -1\/5, 2\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2434411 (base 5) to base 10\nAnswer: 46231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n + 88. Let o be t(-11). Solve -11 = -3*l + 2*i, o = l + 3*i - 2*i - 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 51503213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80810, -81161, -81504, -81839, -82166, -82485?\nAnswer: -82796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95.6 - -10. Let z = 84.9 + w. Let m = -2.9 + 3. Sort 1, m, 3, z in descending order.\nAnswer: 3, 1, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/17 in -92\/145, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -8.2. Let v = -14 - q. Is v < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2493*l + 2459*l + 2473*l + 23 - 7477*l. Suppose 5*i - 2*k + 39 = -0*k, 4*k + 57 = -5*i. Is v(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q - 116 = 0. What is the remainder when q is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -4. Let h = 7 - y. Sort 2, -5, h in decreasing order.\nAnswer: 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7358*y = -7342*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x + x**2 - 1 + 6 - 2 - 1.\nAnswer: (x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/56)\/((-1)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 5\/972, -0.3, -0.075, -4, 0.1, 0.5?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2852\nAnswer: 1\/2852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.07249 and 5?\nAnswer: 5.07249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - k = 5, -a - k - 2*k = 11. Suppose 2*o = -2*j + 18, -a = 5*o + 4. Suppose -7*q - j = -9*q. Solve 0 = -3*w + 8*w + 2*c + 9, -4*c + 27 = -q*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1705*l = 1684*l - 861189000. What is l rounded to the nearest 1000000?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((2*sqrt(320) - sqrt(320)) + sqrt(320)))\/(sqrt(640) + sqrt(640) + (sqrt(640) - (sqrt(640) - (sqrt(640) - -1*sqrt(640)*-5)))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 n when four letters picked without replacement from nnlnnln.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + 1*sqrt(1936) + sqrt(1936))\/sqrt(8) + sqrt(4)\/(sqrt(8)\/sqrt(4)*-2).\nAnswer: 45*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f = 91*f + 998*f + 26493 + 1532 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 - 6*j - 1. Let v(g) = 214*g + 4. Calculate -v(w) - 4*x(w).\nAnswer: 8*w**2 - 190*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, 0, 23, 7, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from haavadhzhhz.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 13. Suppose -p = -4*g + r, 3*g = 3*p + p - 6. Let i be (-1)\/g - (-7)\/14. Solve -4*v + 9 - 1 = i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uudd when four letters picked without replacement from {d: 4, g: 1, u: 8}.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 79, 177, 321, 517?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29027\/4 + 7256. Let z = 5.7 + -4. Which is the nearest to 2\/9? (a) n (b) 2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2047881\/138370 + -1\/27674. Factor p*i**2 + 144*i + 648\/5 + 2\/5*i**3.\nAnswer: 2*(i + 1)*(i + 18)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 55 = 5*y, 4*y + 5*z = -4 + 48. Solve 3*h - 3*s = -6, -h + s - y = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 174.1 + 523.9. Let z = n - 705. What is the smallest value in -0.02, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 + 32*c**4 - 149*c**3 - 180*c**2.\nAnswer: c**2*(c - 5)*(c + 1)*(c + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18640000 + 0\/(11 - 6). Round g to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 15*k + 128. Let m be r(-21). Suppose y + 1 = -3*b, 0 = 3*y + m*y + 5. Solve -2*s + 6*s + 16 = b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 8) in base 10?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, h: 4, v: 1}. Give prob of sequence wh.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 28. Suppose 11*a - o*a - 68 = 0. Let y = -39 - a. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p + 7*p - 12*p + 34*p - 4*p + 4*p + p + (-2 + 0 + 1)*(-2*p + p + 3*p) + 1 - 1 + p + p + 2*p - p to the form a + w*p and give w.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 938682 divided by -1.\nAnswer: -938682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2*z = -14, 22 = -17*b + 21*b - z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 - 2006*w - 5515924\/7.\nAnswer: 2*(w - 7394)*(w + 373)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117524?\nAnswer: 2, 11, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y**2 + 15*y + 7*y + y**3 + 5 - 18*y - 8*y**2 - 4*y**2 in the form l*y**3 + d + t*y**2 + a*y and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -325005*m**2*v**2 + 4496*m*v**2 + 2*m*v + v**2 + 2 wrt m.\nAnswer: -650010*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w\/(w\/((w**(-10)\/w*w)\/w)*w))*w)**26)**8)**35)**(-12\/11) assuming w is positive.\nAnswer: w**(-1223040\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * -18574.\nAnswer: -2043.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p. Let a(h) be the second derivative of 5*h**4 - 874*h. Calculate s(a(i)).\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 3 (c) -8845\/6 (d) 10479 (e) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 43 - (-8*(-8 - -6) + -9). Solve 0 = -2*u - 26 + m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + 5\/(10\/(-8)). What is the third derivative of -7*r**5 - 10*r**5 - 10*r**5 + s*r**2 + 7*r**5 wrt r?\nAnswer: -1200*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*q - 53, q + 14 = 3*z - 22. What is the greatest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21386291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 52?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**5\/20 + 7*g**4\/12 + g**3 + 5*g**2 + 14*g + 2. Give f(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - j. Let q(d) = -2*d**3 - 5*d - 3. Let u(c) = -5*f(c) + q(c). Differentiate u(m) wrt m.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13950 = 188*c - 267*c - 146*c for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/((-2)\/(3 - 4)). Let a(d) = d - 11. Let s be a(v). Suppose s = 5*b - 10, 4*w - b = 1 + 5. Solve -4*f + 5*p = -15, -p + w = -3*f + 16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -1, 5, 0.3, -0.1, 1963\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-35)\/56)\/(-5)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -92353*u. Let h(d) = -23*d. What is g(h(s))?\nAnswer: 2124119*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 4*g + 2. Let b be c(-2). Suppose -7 + 11 = f. Solve 8 = -b*n, 0*u - u = -f*n - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 4*f - 6*f)*(0*f - 2*f + f) - 5*f + 5*f + 12*f**2.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -290756.22 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 43 = -n, 2*n - 6 = 4. What is the lowest common multiple of m and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 22 = -2*a + 3*a, 2*a = 3*u - 22. Let n be (-10)\/((1 + -2)\/(14\/14) - 0). Solve 4*p + n = -u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(325) + 4 - (-1 + 2*sqrt(13))**2.\nAnswer: -49 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 879*k**3 + 54369*k**2 - 199250836*k wrt k.\nAnswer: 5274*k + 108738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((29 - 33) + 7 + -3)\/1. Solve 2*v - w - 13 = p, -6*v + 5*w + 40 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21270138 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 205*q - 3582. Calculate t(-118).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6be3b + 4?\nAnswer: -6be37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmvkvvumuu. What is prob of sequence vuk?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.38 and 1189.858.\nAnswer: 1188.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/3))**32*(h*h\/(h\/(h**(-1)\/h)))**30)**(2\/73) assuming h is positive.\nAnswer: h**(76\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2 - 11*t + 8. Let v be s(-4). Solve v*g + 8 = -4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149371*m**2 - 7*m**3 + m + 149371*m**2.\nAnswer: -7*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52974 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-160)\/28 + 4\/(-14). Let f be (h\/(-5))\/((-18)\/(-45)). Suppose 0 = -f*v + 2*v + 11. What is the highest common divisor of v and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/15 + 16*c**3\/15 - 14*c**2\/5 + 44*c\/15 - 16\/15 = 0 for c.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26425643 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-2 - 0) + (-77 - (-133 + -17))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7184804 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18568571, 18568568, 18568563, 18568556, 18568547, 18568536, 18568523?\n\"Answer: -c**2 + 18568572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139856638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**2 - 15*k + 61. Let g(a) = -11*a**2 - 28*a + 123. Let q(o) = -6*g(o) + 13*s(o). Let j be q(25). Solve -16*m = -17*m - j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 3:31 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (187 - 239 - (2 + -11))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(85)*-2 - sqrt(85))\/(5*(sqrt(5)*-5 + sqrt(5))) + -4.\nAnswer: -4 - sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - ((sqrt(363) - (1*sqrt(363) + -2)) + sqrt(363))) + (sqrt(363) - (sqrt(363) - ((sqrt(363) + 2 - sqrt(363)) + -1))) + -5)**2*4.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4 = -4*y. Suppose 2*d + 2 = d + 2*x, y = d + x. What is the third derivative of d*r**2 - r**3 + 2*r**2 - 2*r**3 wrt r?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 47 - 3*n**2 - 47. Let z(y) = 15*y**2 - 8*y - 8. Let x(r) = 5*r**2 - 3*r - 3. Let d(q) = -8*x(q) + 3*z(q). Calculate d(w(a)).\nAnswer: 45*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001612686 to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 166.266493 + 0.00599\nAnswer: 166.272483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 1:47 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4993 (base 14) to base 12\nAnswer: 7545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43 + 43 - 20*d)*(3*d - 4*d - d) - 3*d**2 + 4*d**2 + 2*d**2 + (-2*d - d + d)*(-35 + 3*d + 35) in the form q + a*d + h*d**2 and give h.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -16. Suppose -3*t + 138 = 3*y, y = -g*t + 5*t + 46. Is 23 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/(3\/(-27)). Suppose 0*h = -4*j + n*h + 149, -3*j + 128 = h. Let s = j + -38. Solve -18 = 4*l - 0*l + m, 4*l = s*m - 26 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 5:49 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 44*x - 4080. What is q(93)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3*-3)\/((-2)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6583707 kilograms to grams.\nAnswer: 658.3707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -658*w**4 + 50*w**3 + 1916*w**2 + 5*w - 5. Let d(o) = -10*o**3 + o**2 - o + 1. Let j(p) = 5*d(p) + x(p). Find the third derivative of j(h) wrt h.\nAnswer: -15792*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -8 + -1084 + 1116?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 3:44 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 19*a**2 + 55*a + 112. Let t be i(-16). Suppose 3*u = 3*j + 8 + 16, 2*j - 14 = -4*u. Solve t = -u*s - 11 + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-4) + (11 - 63\/(-14) - 13)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-68)\/(-8))\/(1\/2). Let h(j) = -43*j + 26. Let z be h(-5). Let u = z + -54. Calculate the greatest common divisor of u and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144868.\nAnswer: 2, 36217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46512559?\nAnswer: 251, 185309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 91283 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1249.8 rounded to the nearest ten?\nAnswer: -1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 214*l**2 - 907*l**2 - 81*l**3 - 3*l**4 - 1575*l - 440*l + 104*l = 0?\nAnswer: -13, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39111.149 and -0.5.\nAnswer: -19555.5745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -5*q - 146*q - 96 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 11) in base 14?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23619 or -22?\nAnswer: 23619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5400486792 to the power of 1\/2, to the nearest integer?\nAnswer: 73488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + z - 29212 + 29186 = 0, 2*l + 20 = 4*z for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 123*v**4\/2 + 6*v**3 - 369*v**2\/2 - 141*v - 12 = 0.\nAnswer: -1, -4\/41, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqldiiiqhiinlnqli. Give prob of picking 1 l, 2 h, and 1 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*n + 17664 = -670*n for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21.38749 from 1.\nAnswer: 22.38749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(147) + -2) + (2*sqrt(2112) + sqrt(33) - sqrt(33))\/(sqrt(11) + (sqrt(11) - sqrt(66)\/sqrt(24))) + 4)**2.\nAnswer: 3520*sqrt(3)\/3 + 48592\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16811.71664 rounded to the nearest one hundred?\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 1 + 4*w + 4*w + (-1 - 2 + 5)*(w - 4*w + 2*w) to c + t*w and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 116a561?\nAnswer: -116a563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d**2 + 3*d**2 + 5*d - 3*d - d.\nAnswer: 15*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116540870 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35638584, 35638601, 35638628, 35638665, 35638712, 35638769?\n\"Answer: 5*q**2 + 2*q + 35638577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-3 + 5)*1\/4. Suppose t = 20*s - 14*s - 792. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 5 = 97*w - 96*w, -3*w + 3 = 3*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -446, -440, -430, -416, -398, -376, -350?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 330\/11*(0 + (-12)\/9). Let x be (14\/a)\/(22\/(-1232)). Solve 84\/5*z + 18\/5 + x*z**2 = 0.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 576 and 8136?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**5\/5 + y**4\/6 - y**2\/2 - 255*y - 147. Let x(t) be the first derivative of l(t). Calculate x(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*h + 916952 - 916952 - 103*h - 9*h**2.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 792.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022033 (base 4) in base 9?\nAnswer: 6458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*s + 104*s + 106 - 61*s wrt s.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(1900)*-2 + sqrt(1900) + (sqrt(1900) - (sqrt(1900) - (1 + sqrt(1900))*6 - sqrt(1900))**2)).\nAnswer: -136870 - 1440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25180.76ug to grams.\nAnswer: 0.02518076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35236 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 672 and 6216.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/5))**(3\/5))**(-5\/9)*(j**(-6)*j**(2\/5))\/(j\/(((j\/(j**1\/j*j))\/j*j*j*j)\/j))**10 assuming j is positive.\nAnswer: j**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2444\/11 + 23417\/110. Let c be 2 - (-699 - -1)*8. Let x = 111651\/20 - c. Calculate the common denominator of x and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-10)*70\/(-28). Solve -2 = k - y*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t + 1317 + 191 = 0. Let n = -3 + -39. Let q = n - t. What are the prime factors of q?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -15. Which is the nearest to -2\/11? (a) 3 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27335414 is divided by 1708463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -1)\/(-2 + 0). Suppose 6*k - 11*k - 20 = z. What is the remainder when (-2)\/(-1*k\/(-50)) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*n - 579, -18*n = -14*n - 4. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -39. Let r = f + 18. What is the closest to r in 2\/7, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000106491 rounded to six dps?\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.69141325 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -30891.\nAnswer: 1\/30891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b41b (base 13) to base 8.\nAnswer: 667032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (0\/(-1))\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1609 is divided by 179?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)*4 + sqrt(1408) + sqrt(1408)*2)\/(1*sqrt(8) - sqrt(22)\/(2*sqrt(11))).\nAnswer: 80*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**6\/120 - t**5\/5 + 11*t**4\/24 - 6*t**2. Let q be a(11). Suppose 3*b - b - 130 = q. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 5) to base 4\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 1:05 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 49199, 49202, 49205?\n\"Answer: 3*t + 49196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b9 + 5?\nAnswer: -1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2*c - 1)*(1 + 0 + 1) - 6*c + 0*c + 4*c - 2 - 2*c + 2)*(2 - 2 - c)*(-142*c + 3723 - 3723).\nAnswer: -1136*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 778*b - 24474 - 31951 = 25265 for b.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 282712099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 10. Let n(a) be the first derivative of -47 + 6*a**3 + 4*a**3 - 4*a**3 + 0*a**3 - 4*a**3. What is n(t(d))?\nAnswer: 24*d**2 + 240*d + 600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143952 divided by 1.\nAnswer: -143952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 11:24 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 3\/((-194)\/(-1843) - 14955\/142253)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - d - d - 6 = 0, m + d + 3 = 0. Let l be m\/((1 - 0)\/(5\/20)). Suppose 3*f + 2*f + 110 = l. Put 0.1, -1\/3, f in increasing order.\nAnswer: f, -1\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01 and -5754.\nAnswer: -5754.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12329 + -12265. Sort 2, -4, i, 8 in decreasing order.\nAnswer: i, 8, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 641 (c) 0.4 (d) -5 (e) 5 (f) -12 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 7*i - 7. Let j = 18 - 28. What is the smallest common multiple of -4 + 1 - 90\/j and h(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18328?\nAnswer: 2, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-12))\/(43505\/3630 + -12). Let k(w) = -w**3 - 10*w**2 + 13*w + 27. What is k(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 281592*c**4 - 36*c - 1868 wrt c.\nAnswer: 3379104*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26203 + 26205. Let f = 1\/620 + 243\/3100. Sort q, 0.1, f in decreasing order.\nAnswer: q, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-5))\/2 + 216\/90. Suppose 4*m + d*v = 6834, 5*v - 5118 = -3*m + 2*v. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**4\/4 - 10*r**3\/3 + 4*r**2 + 5*r + 154. Give d(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 64\/48 + (-1 - 1). Let t = 2.04 + -0.04. Which is the closest to t? (a) m (b) 0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 95 - 68?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - -0.8. Let z be 171\/(-114)*(-12)\/(-63). What is the closest to 0.1 in 3, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/3*m**2 + 0*m**3 + 4\/9*m - 2\/9*m**4 = 0. Calculate m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 2867200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oioibiboibioioooii. Give prob of sequence ob.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3309141855 rounded to 5 decimal places?\nAnswer: -0.33091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (4 + sqrt(27)))**2*-5*-2.\nAnswer: 160*sqrt(3) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -157 + 10?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 31825 divided by 335\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/55*15\/306?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 4*h**3 + 3*h**3)*(5*h - 2*h + 11*h).\nAnswer: 28*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 32*a + 2938. Does 3 divide s(86)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*c + 4, -c - 4 = -4*g + 3*g. What is the units digit of (192 - 4)\/4 + g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132666 divided by 1\nAnswer: 132666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -0.01, -4\/5, -1\/3, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -16*v + 9. Suppose z - 8 = -4*d, -4*z - 33 + 23 = -5*d. What is the least common multiple of 137 and t(z)?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 15) + 0 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2481 + 17c6?\nAnswer: 3c67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1216 by 16.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 24*z**2 + 32*z - 23. What is the tens digit of c(-26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3 - 3*t**3 - 2*t + 0*t**3 - 3*t**3 to the form z + y*t**3 + m*t + g*t**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 506844108, 1013688214, 1520532320, 2027376426?\nAnswer: 2534220532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11300142 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 197837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47186?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -22460\/83 smaller than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i - 22*w - 19*w = -42*w - 27, 4*w + 25 = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 5*n**2 + 2*n - 7. Let b = 17 - 12. Let g be t(b). Suppose 3*p + 3*m = 78, 0*m = -4*p + 2*m + g. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, h: 6, z: 2}. What is prob of sequence vv?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2313*m**2 - 164*m**2 + 1279*m**2 + 68*m**2.\nAnswer: 3496*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 13) to base 16.\nAnswer: c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1073 - -5274. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**3 + 2817*k**2 + 4899636*k - 14724180 = 0. Calculate k.\nAnswer: -894, 3, 1830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-1)*168\/(-630)*-12?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48901 and 187557?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.663 + 83.387. What is v rounded to 0 decimal places?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2441509 divided by 181?\nAnswer: -13489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(15\/3)*-3. Let c be i\/(0 + 3) + 5. Let h be 3\/3 + 1 - -3. Solve -h*t + 1 + c = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0 + 0*l**4 + 0*l + 1\/60*l**5 + 11*l**2 + 0*l**3. Let s(a) = -11*a. Give p(s(g)).\nAnswer: 121*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24045515050 + -4?\nAnswer: -24045515054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/11)\/h*h)\/h**(6\/7) assuming h is positive.\nAnswer: h**(-45\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 12*j - 1 - 11*j - j**3 + 0. Let s(c) = 3*c**3 - 2*c**2 + c. Suppose 0 = 6*x - x - 5. Let w(p) = x*t(p) + s(p). What is w(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -600219107+42\nAnswer: -600219065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, q: 1, v: 1, t: 5, z: 3, k: 1}. Give prob of picking 2 t and 1 q.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -4, 0, -1\/17, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40735132 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -3 (c) 185 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 727 or 732?\nAnswer: 732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.072 + -0.348. Let q = 0.276 + o. Which is the closest to -1\/4? (a) -3\/16 (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1946 + -2188. Let t = h - -4133.7523. What is t rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3202 times 0.56\nAnswer: 0.179312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138 + 327*o + 861 + 207*o.\nAnswer: 534*o + 723","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -81*b**2*z**2 - 148*b*z - 4*b + 1663739*z**2 + 2*z wrt b.\nAnswer: -162*b*z**2 - 148*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 49, 0.08388, -1\/4?\nAnswer: 0.08388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1442404140 (base 5) to base 3\nAnswer: 21021201221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107414 and 8514?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -u + 9351, u + 4*z - 18762 = -u. Suppose 6*h = 13603 + u. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230816 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-279)\/15*(-260)\/(-156).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**4\/24 - b**3\/12 - 5*b**2 - 8*b - 18. Factor a(s).\nAnswer: (s - 5)*(s + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 5*o**2 - o + 7. Let a be p(5). Let u = a + -5. Let h = 2.4 - 2. What is the third biggest value in h, u, 1\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -36*p + 90. Let u(r) = -r**2 + 48*r - 89. Give -4*h(c) - 3*u(c).\nAnswer: 3*c**2 - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -3*a**2\/2 - 15*a + 5. List the prime factors of i(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + 3*p**3 - p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -25200*z + 2545169. Give s(101).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12705\/10890*(-318)\/(-7).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**3 - c - 2. Suppose 5 = -2*m - f, 0*f - f + 1 = -m. Let j(a) = 21*a**3 - a**2 - 6*a - 11. Determine m*j(w) + 11*v(w).\nAnswer: 2*w**3 + 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 3*b**2 + b**3)*(b + b - 13*b).\nAnswer: -11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 + 10*m + 103. Let p(n) = 2*n**2 + 4*n + 51. Give 2*j(l) - 5*p(l).\nAnswer: -2*l**2 - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 833 + -841. Let u be 0\/((-2)\/(x\/(-8))). Solve 3*n - 5*c - 16 = -n, u = -4*c - 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 8558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, c: 7, u: 4, q: 2, w: 1, k: 1}. What is prob of sequence cqku?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2087882647 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*((0 + 2*sqrt(684))**2 - (sqrt(684)*-1 + 5)**2).\nAnswer: 60*sqrt(19) + 2032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 10*o**2 + 29*o + 8. Determine x(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 7*k = 1275. Let y(o) = o**2 + 141. Let z be y(0). Let p = z - k. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/14 - (1 - -1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-16)*((0 - 3) + 7).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6\/11, 3, 5, -1\/5, -2, -1\/3, -4741?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3.2. Let a = x + 0.4. Let t = 4.2 - a. What is the smallest value in t, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 244620*a**4 + 2*a + 5612834 wrt a?\nAnswer: 978480*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Let l(s) be the first derivative of 31*s**6\/120 + 14*s**3\/3 - 65. Let c(a) be the third derivative of l(a). Calculate c(j(x)).\nAnswer: 93*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 15 - 103 = 0. Let k(q) = q**3 - 14*q**2 - 49*q - 28. What is the remainder when w is divided by k(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**8\/560 + h**7\/840 + h**6\/40 + h**5\/40 - h**4\/12 - 29*h**3\/3 + 9. Let j(k) be the third derivative of s(k). Factor j(d).\nAnswer: -(d - 2)*(d + 1)**2*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 23.8517 and 143880728.\nAnswer: 143880751.8517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -29490036 divided by 1?\nAnswer: -29490036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -913 + 3642 + 4108*z**3 - 4107*z**3 to p*z**3 + a*z + j*z**2 + w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 19*y**5\/20 - 2*y**4 - 15*y - 1. Find the third derivative of o(f) wrt f.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -898976, -898973, -898970, -898967, -898964, -898961?\nAnswer: -898958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 7 = 13. Suppose -u + 20 = -5*n, g*n = 5*u - 127 - 15. Suppose u = 2*k - 2. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**6\/120 - i**5\/60 - i**3\/6 - 68*i**2. Let g(l) = -11*l**3 + 4*l**2 + 4. Let m = -36 - -37. Determine m*g(j) + 4*d(j).\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 403125847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a + 55. Let u(v) = v + 27. Let j(y) = -3*g(y) + 7*u(y). Let s be j(10). Let k(t) = 3*t**2 - 9*t + 15. Is k(s) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7038291, -14076584, -21114877?\nAnswer: -28153170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 1. Let t(p) be the second derivative of 2*p**3 - 5*p**2 - 5*p + 9. Calculate 20*h(v) - 2*t(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g - 60 - 168 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -43. What is the remainder when 41 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -132, 6, 0 in descending order.\nAnswer: 6, 4, 1, 0, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*d - 206, -2*p - 45 = -d + 6. Solve 0 = 37*b - 74 + d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 424\/(-24)*-3*2. Let x = 108 - h. Suppose -f = -4*g - 11, -x*g + 0*g = 4*f - 62. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*(-3042)\/(-169).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**2 + 5 - 9*a - 3*a**2 - 3*a**2. Let w be v(-10). Sort w, 2, -4 in increasing order.\nAnswer: w, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1908 + -0.1092. Which is the nearest to -2? (a) -5 (b) 1\/4 (c) r (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 + 396*v + 401. What is a(-98)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, d: 2, n: 6}. Give prob of picking 2 n and 1 v.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 3347487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/4 - 17*p**3\/2 + 137*p**2\/4 + 481*p - 507 = 0.\nAnswer: -6, 1, 13, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a4a - 27?\nAnswer: -2a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a - 16. Let v be d(15). Let j = 739 - v. What is j rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-218)\/6*4\/((-28)\/21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 126. What is h(-12)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - n - 56 = 0, -3*n + 4*n = 2. Let q = -17 - t. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1dafb7 (base 16) to base 11\nAnswer: 1109781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4 = -w - 22, -98 = -2*j + 6*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwlp when four letters picked without replacement from rwgplhh?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 115927987547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 244*d**4 + 0*d**2 - 227*d**4 + 8*d**2 to the form m*d**3 + f*d**2 + y*d**4 + x*d + s and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 5*z + 91, -3*w + z + 100 = -3*z. Suppose 255*o + 3045 - 249 = -9. What is the common denominator of -99\/4 and (344\/w)\/(o\/(-4))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*m - 2*c - 35, 3*c - 74 = -5*m. Suppose 6*y = m*y - 510. Solve 0 = 4*q - 4*b - 15 + y, 4*b - 24 = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66242689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**2 + 10*t. Let h(g) = -2*g - 11. What is k(h(w))?\nAnswer: -16*w**2 - 196*w - 594","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 5*r**2\/3 + 20*r\/3.\nAnswer: -5*r*(r - 1)*(3*r + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 106845 and 56565?\nAnswer: 961605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 q, 1 s, and 1 k when four letters picked without replacement from gkhssagq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 2*l**2 + 3*l + 3. Let a be g(-3). Suppose -a*d + 2*d = -4. Suppose o - 10 = -d*o. Solve 12 = -p - o*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/934307 and 6\/104047825?\nAnswer: 1144526075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63897*q**2*s + 154059*q**2 with respect to s.\nAnswer: -63897*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -q + 187. Let t = -100 + q. What is the remainder when 51 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1895, -3775, -5653, -7529, -9403, -11275?\nAnswer: -13145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 17. Let j(z) = z**3 + 9*z**2 + z + 11. Let g be j(i). Suppose 3*p = -p + 3*a + 198, 4*p - g*a = 196. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15129748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 28*y + 32. Let s be l(-29). Solve -4*d = -s*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -t - 6, 4*t - 2 = -f - 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*a + 46*a = -h - 21, 5*a + 3*h = -3. Solve -a*f - 22 = -40 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 9:44 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1938590443?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 30482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -397595 + -1?\nAnswer: -397596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) -239\/12 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v - 60 = -0*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - (-52)\/(-10)) + 142\/10. Suppose 0 = 9*z - g*z + 670. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100.8 - 101. What is the nearest to -1 in -7, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*y + 985*y + 45159 = -6635 for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 112275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -15, 0.2, 0.1, -21.8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.3081 * 0.5\nAnswer: -0.65405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 655 - -615. Let s = w + -27945\/22. What is the common denominator of 21\/10 and s?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -836637*1\nAnswer: -836637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4743551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007411639 rounded to 7 decimal places?\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a factor of 35236133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20992)\/(-192))\/(-82))\/((-4)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -18*u - 2. Let l be h(-2). Suppose r - l = -r. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199 + -359. Let n = u + 160.495. What is n rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12239280 - 12239280 + 2978*g to the form z*g + s and give z.\nAnswer: 2978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -12. Suppose -4*h + x = -9. What is the units digit of h + (-2)\/2 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*d - 87, 5*d - 39 = -a + 89. Suppose d*h - 31*h + 1902 = 0. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5114126737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 223, 408, 641, 922, 1251, 1628?\nAnswer: 2053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 3*v**2 + 2*v - 8. Let g be j(-4). Suppose -2*y - 9 = 3*s - 4*s, g = -s + y + 5. Let c be (-1)\/5 - ((-8)\/(-10) - s). Is -1\/5 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**3 + 147*d**2 + 428*d - 576 = 0.\nAnswer: -144, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2463351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -772 = -4*s - 3*p + 1391, s + 2*p - 537 = 0. List the prime factors of s.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2) + (-6642)\/(-3444)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 2528\/240)*(-3 + 9).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(-3))\/m)\/m**(-2\/19))**26)**20 assuming m is positive.\nAnswer: m**(30680\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (4 + 1))\/5 - (-483)\/105?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.61 + 38.57. Round m to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {r: 1, j: 1, s: 5, g: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -141, -120, -69, 24?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 - 5*v**2 + 6. Suppose -10*l = -9*l + 4. List the prime factors of o(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 96181 - 52222 = -13593. List the prime factors of d.\nAnswer: 13, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 493.1 + -493. Let j = 0.09 - -0.01. Let w = 2\/27 - 35\/108. What is the nearest to j in p, w, -4\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1347\/7 or 192?\nAnswer: 1347\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 5648?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 - 11*i + 265. Is d(23) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -141, -210, -277, -342, -405?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-54)\/180)\/(288\/(-75)))\/(125\/150)?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -696, -751, -862, -1041, -1300, -1651?\n\"Answer: -2*f**3 - 16*f**2 + 7*f - 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 28 + -11 + (1 - -9)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -2b5bc?\nAnswer: 2b5bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6196 (base 15) in base 5?\nAnswer: -1124431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g = -3*q - 6*g - 26, -5*q - 2*g - 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*c + 2408 + 4341 = 0 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 - 38*m**2 - 8. Suppose -33*r + 65*r + 76 = 36*r. Determine c(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/639, -5 in descending order.\nAnswer: 2\/639, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -31. Let i(n) = -7 - n - o - 5 + n**2. Is i(7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 777 and 2331?\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 1. Let q(o) = 8*o**3 - 14*o**2 - 14. Determine 4*q(n) + 56*r(n).\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 724374089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 3*c + 4*c - 12, -5*w = 4*c + 36 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110101010011110101000 - 100?\nAnswer: -100110101010011110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 740.4609ml?\nAnswer: 0.7404609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**3\/3 - c**2\/2 - 12*c - 24. Calculate u(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 60.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-89)\/(-7) - 8\/(-28). Let y be (3 - -153)*(-4)\/(-6). Calculate the highest common divisor of y and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1348 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11a (base 11) to base 6\nAnswer: -354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 25*q - 64. Let u be y(15). Calculate the highest common divisor of u and 946.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + c = -25, -2*c - 30 = 3*g + 2*c. Is 16 a factor of 110\/3*(-21)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -688778, -688787, -688798, -688811, -688826, -688843, -688862?\nAnswer: -688883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3*-560 - (-10)\/15. Let m = 352 + r. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26a7 (base 11) in base 5?\nAnswer: -103010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + x - 2*x - 114*x**3 - 8*x**3 to the form z*x**3 + t*x + i*x**2 + o and give z.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 252, 377?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/30*(-4 + 10). Let m(r) = -12*r**2 - 4*r. Let n(q) be the second derivative of -11*q**4\/12 - q**3\/2 - 9*q. Let t(c) = 4*m(c) - 5*n(c). What is t(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l = 1. Let c(r) = -5*r - 2*r - r**2 + 1 - l. Does 4 divide c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1 - (72 + -69)) + (1 - (8 + -13))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 79 = 4*d, 0 = -2*d - 3*l + 5*l + 50. Let j(y) = -21*y - 6. Let b be j(0). What is the remainder when b\/4 - (-2175)\/50 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**2. Let y(g) = 30*g + 870. Let r be y(-29). Let t(w) be the second derivative of -5\/6*w**3 + 0 + r*w**2 + 8*w. Give t(h(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = 6*m. Let k(z) be the third derivative of 17*z**5\/12 + z**4\/24 + z**2 - 17. What is the units digit of k(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 219 - 200. Let n(y) = -33*y + l*y + 15*y. Let o(t) be the third derivative of 11*t**5\/60 - 2*t**2. What is o(n(z))?\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 5*k**3 - 6*k**3)*(k - 2 + 2)*(-295714 + 905*k + 295714).\nAnswer: -1810*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/9 and -39\/149?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3*t = 1, 116*h - 8 = 117*h - t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6 = -6. Let y(l) = 17*l**2 - l - 3. Let p(o) = 16*o**2 - 2*o - 4. Let n(w) = -4*p(w) + 5*y(w). Is n(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7432 + 1?\nAnswer: -7431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -13*t**3 + 6*t**2 + 8*t - 6. Let n(j) = 12*j**3 - 5*j**2 - 7*j + 5. Suppose 5*k - 12 = k, 3*h + 5*k = -3. Calculate h*n(s) - 5*m(s).\nAnswer: -7*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 16. Suppose u*x = -5 + 20. Suppose 0*c - 4*c - 2 = -2*w, 0 = -w - x*c + 11. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, 35, 74, 129?\n\"Answer: 8*h**2 - h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.082 in -4\/5, 1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1336 and 53774?\nAnswer: 215096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -522, -416, -310, -204, -98?\n\"Answer: 106*w - 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1308540 + 309795.4\nAnswer: 1618335.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.055 times -2\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 128147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -3)*-2*(-4)\/(-4). List the prime factors of (0 - -129)*f\/3.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -55924, -111849, -167774?\n\"Answer: -55925*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*s - 2*s + 2*s)*(52 - 30 + 34) + 2*s + 4*s - 4*s)*(-62 + 5*s + 62) to i*s + j*s**2 + r and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*p - 3)*(2*p**2 + 8*p + 3 - 1 - 7*p).\nAnswer: -8*p**3 - 4*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 6, -3*m = 2*d - 0*m + 14. Suppose 81*s - 77*s = -2*q + 5396, 4*s - 3*q = 5406. Let h = s - 1351. Sort d, -31, -3, h.\nAnswer: -31, d, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15263 - 15642. Sort 2\/11, 3\/5, w, 5 in ascending order.\nAnswer: w, 2\/11, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -i + 2*h, 0*h + 9 = -2*i + h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, h: 2, m: 4}. What is prob of sequence hss?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06659021 rounded to five decimal places?\nAnswer: 0.06659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(2\/3))*o**(-3))**(2\/9))**(-14) assuming o is positive.\nAnswer: o**(196\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4 - 7*x + 3*x + 16 - 14*x. Let l be o(-10). Round l to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 v when three letters picked without replacement from {t: 3, k: 2, v: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0 - 1) + (-9 - (10 + -12))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1115 - 9a?\nAnswer: -11af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaua when four letters picked without replacement from uuaauauu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 31 and 5161\/160 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108430 by 70.\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + i + 3 = -9*m, 0 = m - 5*i - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 24. Calculate the least common multiple of q and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrb when three letters picked without replacement from {s: 10, w: 1, b: 2, h: 6, r: 1}?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145558?\nAnswer: 2, 7, 37, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) -62 (c) 4 (d) -1.1 (e) -4\/3 (f) 0.252\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -440689, -881292, -1321897, -1762504, -2203113, -2643724?\nAnswer: -3084337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10374 and 23357859.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/28*5)\/(197\/5516).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/6 and (((-138)\/(-16))\/3)\/((-10)\/12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -490 or -671?\nAnswer: -671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - 22*x + 3. Let n(h) = h**2 + 11*h - 1. Determine -3*d(j) - 7*n(j).\nAnswer: -j**2 - 11*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7155a07 (base 11) to base 6.\nAnswer: -1130552355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 8619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1442\/14 + -64 - -6*(16\/4 - 5).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -514431210 and -0.3.\nAnswer: -514431210.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 1. Let t(f) = -f**2 + 18*f + 31. Let r be t(19). Let a = -6 + r. What is q(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**6\/30 - z**5\/20 + z**4\/6 - 25*z - 26. Let h(b) be the first derivative of m(b). Factor h(c).\nAnswer: -c**2*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 112763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*j + 290 = -251*j. Let h = -231 - -228. Put -1, j, h, 0.08 in decreasing order.\nAnswer: 0.08, -1, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.8 + -10.2. Let j = -8 - m. Let u = 0.172 + -0.072. Which is the closest to u? (a) 0.3 (b) j (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/7735?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - s + 10, s = -1 + 3. Let r = -42 + 35. Let o(x) = x + 4*x - 3*x + 285 - 290. Let f(g) = 3*g - 9. What is r*o(h) + u*f(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6524 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 766*a**2 - 20622*a - 23757. Calculate h(-792).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5774.936ml?\nAnswer: 5.774936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -15. Let x be (-5)\/2 - 13\/(-2). Suppose x*i - 25 = -s, -3*s + 0*i + 45 = 2*i. Calculate the remainder when s is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5331, 10464, 15597, 20730, 25863?\n\"Answer: 5133*w + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 731 + 74. Let v = b - 689. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 9:52 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 2*m + 10. Let x(y) = 12*y**2 - 3*y - 4. Let u be x(m). Suppose -2*t = -t + f - 92, -3*t + 2*f + u = 0. Round t to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28552141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n. Let i(p) = -1382*p. Determine z(i(t)).\nAnswer: -1382*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 594.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**2. Let h(o) = 4*o. Let r(s) = 2*s. Let y(c) = 2*h(c) - 3*r(c). What is y(a(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 2*v - 1 = 0, -30*c + 12*c = -16*c + 214*v + 426 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1330 or 38577\/29?\nAnswer: 38577\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 487638*i + 1950600.\nAnswer: -3*(i - 4)*(i + 162550)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2539701964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2. Let c(g) = 15*g**2 - 2*g - 3. Calculate c(i(q)).\nAnswer: 60*q**4 + 4*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) + 901\/159. Let w(c) = 3*c**2 - c + 14. Let z(o) = -17*o**2 + 6*o - 91. Let s(a) = y*z(a) + 39*w(a). Let q(h) = -3*h**2. Determine s(q(d)).\nAnswer: 135*d**4 + 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/3, -19488.33, -0.3, 0.1.\nAnswer: -19488.33, -0.3, 0.1, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2\/7, 7, -0.4, 1\/7, -0.03 in increasing order.\nAnswer: -0.4, -2\/7, -0.03, 1\/7, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20412*88\nAnswer: -1796256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(245) - (1 + sqrt(180)))**2 - ((2*sqrt(55))\/sqrt(11) - ((sqrt(5)*1 - sqrt(5))*6)**2))*-4.\nAnswer: -36 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1978754 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44327463, 44327456, 44327449, 44327442, 44327435?\n\"Answer: -7*a + 44327470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 30 = 5*h, 2*h - 19 = 5*m - 0*m. What is the remainder when 15 is divided by 5\/(-10)*6 + h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 29*y - 64 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-63)\/14*2\/(-3). Suppose -l*x - 2 = -14. Suppose -2*y + 5*p = -8 - x, 3*p - 6 = 0. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250447479863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 0, -181, -12.\nAnswer: -181, -12, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*o - 16 = 45, 73 = 7*i - 3*o. Let q(c) = 8*c + 3. Calculate q(i).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-24) + 2\/6. Let t = 3\/44858 - -128832161\/224290. Let l = t + -574. Put -4, 3\/2, z, l in descending order.\nAnswer: 3\/2, l, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21109*l*x**3 + 607*l + 10*x**3 + 181*x**2 + 10*x - 1 with respect to l.\nAnswer: 21109*x**3 + 607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**7\/42 - g**6\/10 - 3*g**5\/20 - g**4\/12 - 10*g. Factor r(o).\nAnswer: -o**2*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29052.18 rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Suppose 5*d - x + 4*x = 18, 0 = 3*d + 2*x - 11. Suppose -2 = -d*j + j. What is the least common multiple of s and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 15. Suppose r*l + 2*n - 50 = l, 4*n = -l + 16. Solve 2*v = -3*o + 10, 4*o - l = -4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/(-15) + 85\/15. Put l, 77, -2 in descending order.\nAnswer: 77, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 8 = -3*y - 4*k, 4 = -4*y - 3*k. Which is the smallest value? (a) y (b) -2\/13 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 355 + -93. Let k = 738 - w. Does 34 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 444341954 and 814?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1100, 1101, 1102, 1103, 1104?\nAnswer: 1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*m**3 + 74*m**3 - 3*m**2 + 3*m**2.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 80105595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 69 = -52. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104603 or 0.4?\nAnswer: 104603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g + 26*g = -118996. Let f = g - 19368. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 12. Calculate the remainder when 4 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*y - 2360, y = -440*w + 438*w + 4684. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 50*d**3 + d**2 - 713*d - 713. What is k(-1)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 - 2*u**3 - 2 + 69004*u - 64655*u as m*u**3 + h*u**2 + w + r*u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 10*c + 70 = 5*c - 100, -102 = 3*c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p + p. Are p and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/121)\/((-13)\/(-143))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drrdvddvgbgq. What is prob of picking 1 g and 1 d?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -541*y**3 - 5*y**5 + y**4 - 541*y**3 + 1082*y**3 + 7*y**2 wrt y.\nAnswer: -300*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v. Let p(f) = 18932*f. Determine p(b(n)).\nAnswer: -18932*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25253751 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 7. Let m = p - 8.5. Let v = -1.05591 + 0.05591. Which is the closest to v? (a) -2 (b) -18 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 45*j - 622. Calculate x(56).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22770 and 275517?\nAnswer: 2755170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 11.31737.\nAnswer: 0.5658685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-95)\/(-20) - (-711)\/36?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 o when four letters picked without replacement from ooooooooeeoe?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2 - 32*y\/9 + 8\/9 = 0. What is y?\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.785? (a) 1\/5 (b) 1 (c) 50 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 0, 0 = -0*p - 3*p - u + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 not equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30.3 and 16989.\nAnswer: 514766.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/2)\/p)**(-46)\/(p**(1\/3)*p*p**(-1\/4)))**44)**(2\/45) assuming p is positive.\nAnswer: p**(5786\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 48601*y**2. Let v(d) = 2*d**2. Calculate v(c(k)).\nAnswer: 4724114402*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 - -3.04. Let x = 7 + -4. Suppose -5*s + x*s = 6, 4 = -k - 2*s. Which is the third smallest value? (a) 0.1 (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.0009.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 14 = 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 7. Let o be c\/4 + (-32)\/(-2). Solve 3*l - 13 = 2*k, -6*k - o = -k - 3*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677955436.\nAnswer: 2, 53, 3197903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 9*n + n)*(87*n - 133*n - 128*n)*(-1 + 2 + 0).\nAnswer: 1044*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (3 - 3) + -4 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 3*v - 63, -25 = 2*x + 2*v - v. Let m be 18972\/(-27) + 2\/3. What are the prime factors of m\/x*(-2)\/(-3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1384*k + 497*k + 496*k + k**3 - 2377*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104947*i + 24775*i - 21646*i.\nAnswer: -101818*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12558.609 rounded to the nearest 10?\nAnswer: 12560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -9*d**2. Let v(h) = 4*h**2. Let p = 183 - 180. Let c(t) = p*n(t) + 7*v(t). Let a(r) = 2*r**2 + 190*r. What is c(a(m))?\nAnswer: 4*m**4 + 760*m**3 + 36100*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-60)*68)\/((-10)\/(-180)*12)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-20) + 61464\/(-15). What is y rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 391 and 392955?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*w - 81*w + 150*w + 273*w.\nAnswer: 641*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**8\/180 - 2*q**7\/105 + 2*q**6\/135 + q**3\/6 + 7*q**2. Let s(i) be the first derivative of y(i). Factor s(w).\nAnswer: -4*w**2*(w + 2)*(7*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 78\/36 + 2\/(-12). Suppose f = r*f - 5. Solve -c - f = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630 is divided by 53.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 22, 49, 110, 217, 382?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 62 - (3 - (-2 + 3)). What is the highest common factor of 30 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8474587 litres?\nAnswer: 847.4587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 85*k**2 - 80*k - 476. Let c be v(86). What is the highest common divisor of 140 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(0 + sqrt(1539)) - (-2*(sqrt(1539)*1 + sqrt(1539)) - sqrt(1539))).\nAnswer: -1 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 5*r**3 + 24*r**2 - 24*r**2 + 0*r**3 + 4*r**3 - r**3 + (2 - 2 - r)*(-3*r + 3*r - 4*r**2).\nAnswer: 12*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 5:20 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109073 is divided by 13630.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-1))\/((-6)\/30). Suppose m*j - 80 = -20. Suppose 3*w - w = j. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 + 0*a**2 + 15*a**2 - 5*a**2 + 7*a**2 - 11*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 14050\/3721 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/8)\/(4 + (-75)\/20). Suppose 0 = -5*v + 2*g + 5689, -4*v + 4559 = 3*g - i*g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*i, -5*i = -2*l + 10732 - 863. List the prime factors of l.\nAnswer: 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 371, 399, 445, 509, 591?\n\"Answer: 9*z**2 + z + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -16. Let f be w\/5 - (-1 - 2)*1. Solve f*d - 10 = -0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5 - 8*h**4 + 10*h**3 - 4*h**2.\nAnswer: 2*h**2*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 3. Let g be m(-5). Let a = 2178 + -8763\/4. Let f = 263\/20 + a. Is f >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 30*r - 26. Let n(l) = 7*l**2 - 18*l. Let u(c) = 4*c**2 - 12*c. Let o(g) = 4*n(g) - 6*u(g). What is o(t(s))?\nAnswer: 3600*s**2 - 6240*s + 2704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*r**5 + 372*r**4 + 4228*r**3 - 2068*r**2 - 2104*r - 320 = 0. Calculate r.\nAnswer: -5, -1\/3, -2\/9, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 28 (c) 0.02 (d) -1 (e) -9\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527 - 129 = -16*a for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.8 or -1589?\nAnswer: -1589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 6*j**2 + 4*j + 4. Let i be f(-5). Let b be 672\/i*396\/77. What is the greatest common factor of b and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 57. Suppose x = 6*b - 4*b. Solve 0 = b*n + 4 - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1862392494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**3 + 0*c**3 + 3*c**3 + (1 + 1 - 5)*(-1 + 1 - c**3) + c**3 - 3*c**3 + 0*c**3 + c**3 - 2*c**3 - 2*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l = 0. Find the common denominator of (-11235)\/(-900) + -1 + (-3)\/(-5) and 86\/(-18)*(l - -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48667762 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4 - -27) + 2 + -16 + -80?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 379*j**2 + j. Is y(1) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Let c(v) = 2*v - 2 + 2 + o + 0*v. Give c(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**5\/20 + u**4\/2 - 5*u**3\/6 - 5*u**2\/2 - 17*u. Determine o(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/17))**(-44)\/(((o*o**(-1\/12)*o)\/o*o)\/(o*o*o\/(o\/(o\/o**15*o)))))**(-4\/11) assuming o is positive.\nAnswer: o**(1579\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 99.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2590*c**2 - c. Let n be f(1). Let y be (-1)\/(-2) + (-34550)\/20. Let g = n + y. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 151190*z**2 - 16*z - 2127160 wrt z?\nAnswer: 302380*z - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*r, 0*r - 16 = 2*g - 5*r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 11*y - 17 = 6*y, 3*l = -5*y + 37. Solve l*m + 18 = 3*h, -2*h + 1 = 5*m - 4*m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, -190, -7, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25335, -7619, -4 in descending order.\nAnswer: -4, -7619, -25335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14831, 59495, 133935, 238145, 372119, 535851?\nAnswer: 729335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x. Let t(b) = 3*b. Let q = 24640 + -24642. Calculate q*t(w) + 14*m(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 43794840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50617, 202372, 455307, 809428, 1264741?\nAnswer: 1821252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/13 - 84*t**2 + 6606*t\/13 - 9936\/13.\nAnswer: -2*(t - 3)**2*(t + 552)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 1529?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-25)*(-20)\/8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*t - 19*t - 5*t**3 - 20*t.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (2 - 3))*-4. Suppose m*j - h - 21 = -0*h, 0 = -3*j + 3*h + 9. Differentiate 4 + 4*d**3 - d**3 - j*d**3 wrt d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 4*p**2 + 4*p + 2. Let q be (4\/12)\/(3\/45). What is i(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6*-0.12.\nAnswer: -0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169616 is divided by 56534?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2681 minus -5?\nAnswer: 2686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20968.272 months in decades?\nAnswer: 174.7356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 171, 224, 299, 396, 515?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-55) + 0\/2. Suppose -30 - 15 = -5*a. Which is smaller: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108631 is divided by 129?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1\/270306, 3\/8, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16953799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 13. Suppose n = 3*z - 2*z. Calculate the lowest common multiple of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*v + 24*v = 50*v - 22770. Solve 21*k + v = 76*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 8*h + 10. Let t be 23\/5 + 14\/35. Suppose 5*c - 5*y = -15, -t*c + y = -2*y + 23. List the prime factors of u(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 24 = 2*y - 2*d, -d = -2*y + 16. Suppose 4*o = -y*i + 3*i - 11, 2*i = o - 11. Let x be ((-3)\/4)\/((-5)\/4). What is the nearest to o in x, 0.1, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 870.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 - (-58 + 26)) + 69.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40802987*b**3 - 9*b**2 - b + 5458?\nAnswer: 244817922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*w - 14, 3*w + 12 = -2*p + 31. Suppose -2*z - 2 + 0 = 0. Let n be 1*(-2 + (-22)\/z). What is the greatest common divisor of n and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19\/936 in -4, 0.015, 4\/7?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -120ce5 + 4?\nAnswer: -120ce1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4264 - 4272. Let s = -40 + 39.84. Which is bigger: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 15*k - 17. Let h(z) = 9*z + 4. Let p be h(1). Let l be i(p). Differentiate 54*j - 14*j**3 - 54*j - l with respect to j.\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d - 2*d**2)*(2 - 2 + d**2) + 10*d**2 - d**4 + 5*d**2 + 2 - 23*d**2.\nAnswer: -3*d**4 - 8*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 15.78914ml?\nAnswer: 0.01578914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 749 divided by -107.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 8*u - 12*u. Calculate the remainder when 20 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31268 = 10*n - 427962. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 12, 242*b - 4 = 2*z + 243*b. Let y = 8 - 3. What is the closest to y in z, -2\/5, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -542.\nAnswer: 542.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-1))\/(1\/(-1)). Suppose j = 3*s - 2*s - 20. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002830982238 rounded to 6 dps?\nAnswer: -0.002831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 561628336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -207*f - 202*f + 3*f**2 - 87 + 659*f - 209*f. Let z be q(2). Solve -10*o - 13 - z = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 3:29 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*3)\/sqrt(12))\/sqrt(11) - ((-6*sqrt(36) - sqrt(36))\/sqrt(6))\/sqrt(3).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24455078.\nAnswer: 2, 17, 719267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 15) in base 10?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 1. Let q(a) = 5*a + 19. Let n(r) = 4*l(r) + q(r). List the prime factors of n(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-1 - 3) - (3 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023801 is divided by 95?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*i + 3*b, 5*i - 4*i + 1 = -4*b. Solve -3*m - 2*a - i = 1, 4*m + 5*a = -10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = l - 3. Let i(w) = -7*w**3 + 2*w**2 - 5*w - 11. Let c(z) = 6*z**3 - 3*z**2 + 4*z + 9. Let u(f) = 6*c(f) + 5*i(f). Determine u(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*w - 52*w - 29 = 19*w + 41 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -23610 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 2:08 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 + -103 - -108 - 6.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)*-2)\/sqrt(11).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 17*y. Let r(m) = 2*m. Determine i(r(t)).\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + -3 + 5)*-1. Let g = s + 39. Calculate the remainder when 38\/247 - ((-2039)\/13 - 1) is divided by g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 7*y + 6. Let m be b(7). Suppose 2*a + m = a - 2*h, h = 3*a - 3. Let t be (5 - a)*208\/130. Which is smaller: t or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 11*z**2 - 27*z - 12. Suppose 4*w = w - 18. What is the least common multiple of n(-13) and (-3 + 6)\/1 - w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4bb1c - -1?\nAnswer: -4bb1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -39486.\nAnswer: -1\/19743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 40*z - 66. What is the smallest common multiple of 44 and i(-11)?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580*x + 5058 = 18398 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514 = -4*g - s, 0 = 4*g - 5*g - 2*s + 132. Calculate the remainder when g is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405335 (base 6) to base 16.\nAnswer: 7e3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28812769837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - 12 - 3) + 10 - 2099*-98 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t + 6*t - 7*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**4\/6 - h. Let t(u) = -43*u + 36. Let b(n) = 602*n - 516. Let v(o) = -3*b(o) - 43*t(o). What is v(r(z))?\nAnswer: -86*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 2 + p**3 + 2 + (p - 3*p + 0*p)*(0*p**2 - 2*p**2 + 0*p**2) + 316*p**3 - 18*p**3 + 18*p**3.\nAnswer: 321*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-154)\/99)\/(-8 + 228\/18 + -4)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 7*i**2 + 6*i + 2. Let j be d(-6). Let a(s) = -6*s**2 + s**2 - 11*s**j + 3*s**2. What is a(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.049064 * -0.6\nAnswer: -0.0294384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1815\/3025 + 4\/2 + (-47)\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5455 is divided by 5414?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 538*y + 1835*y - y**2 - 5 + 4*y**2 - 2*y**2 - y**2 + (-2 + 3 + 1)*(2*y**2 + 1 - 1) to i*y + g + p*y**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -151*s**4\/3 - 1209*s**3 - 3545*s**2\/3 - 23*s = 0. Calculate s.\nAnswer: -23, -1, -3\/151, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70370289 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 5.1. Let w = 3.2 + -3.4. Which is the second smallest value? (a) w (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 11708.\nAnswer: 105372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 955.9755l in millilitres?\nAnswer: 955975.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11835703*f - 11835703*f + f**3 - 3177*f**2 + (-1 + 0 + 0)*(0*f**3 - f**3 + 3*f**3) + 2*f**3 - 4*f**3 + f**3.\nAnswer: -2*f**3 - 3177*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 560 and 5936.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634622 (base 8) to base 10.\nAnswer: 211346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -69, -10\/3, 50, -8?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187 by -1.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13267977 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4835 and 0.002.\nAnswer: -0.000967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.427, -1\/12, -0.4, -0.09, 3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, s: 2, x: 1, n: 3, y: 3}. Give prob of picking 1 y and 2 n.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 3:14 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 133551296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3351 + 66*j + 148597*j**2 + 3351 - 148590*j**2 - 66*j.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4141*j**2*t**3*x + 162*j**2*t - j*t**3*x + j*t**3 - 3*j*t - 113*t**3*x + 69*t**2 wrt j?\nAnswer: 8282*t**3*x + 324*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q - 3*q. Suppose 0*n - 2 = -2*v + 2*n, q = 5*v - 3*n - 9. Which is the third biggest value? (a) 0.3 (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 5*v**2 - 11*v - 5. Let b be a(-7). Let h be b\/(-3) + (-16)\/24. Suppose 14 = -2*d + 5*t + 2, 0 = -2*d + 3*t - h. Which is smaller: d or -4\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 8. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -28. Let d(t) = 3*t - 8. Let n be d(w). What is the remainder when -1*(102\/8)\/(4\/n) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 2. Let s(t) = 9*t - 9. Let v = 22 + -10. Suppose 5*j + 3 = -v. Let p(a) = 18*a - 18. Let c(k) = j*p(k) + 5*s(k). Give 26*b(i) + 6*c(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 29, 19, 5, -13?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 16*u**2 - 40*u + 11. What is t(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6755 - 4) + (-10)\/(2*-1). Let m = u + 10991. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1262 by 6.\nAnswer: -631\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 2*o - 2. Determine x(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1510\/10 + -7)\/1. Sort 0.2, -21, y in decreasing order.\nAnswer: y, 0.2, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**3 + 300*k**2 + 4000*k = 0. Calculate k.\nAnswer: -40, -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + m**2 + m + 72. Let h be f(0). Let r be (-822)\/(-137) + -6*(-2)\/4. What is the highest common factor of h and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 852 - 4269\/5. What is the second biggest value in s, 0.02, -0.5, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*a - 188*a**2 - 1602 + 48*a - 11*a - 26*a with respect to a.\nAnswer: -376*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80 + 2517*a**2 - 1246*a**2 + 17 - 1268*a**2 - 16*a**3 to j*a**3 + m + v*a**2 + c*a and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Let u = 218 + -222. Put d, u, 2 in decreasing order.\nAnswer: 2, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:32 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 5, e: 1, s: 1, m: 1}. Give prob of sequence bbe.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18156 - -217877\/12. Let j be (-10)\/(-2)*(-6)\/(-15). Let o = 3 - j. Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -291, -13\/199, -0.03, -0.3 in descending order.\nAnswer: -0.03, -13\/199, -0.3, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 + 3 + (-2 - 5) + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 129940 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 + 139. Calculate the remainder when z is divided by ((-11)\/2)\/(1\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = d - 9*o - 322, -674 = -2*d - 5*o. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003.1 minus 2?\nAnswer: 1001.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -454, -436, -408, -370, -322?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -1450*m**2 + 37*m + 2. Let n(v) = 25*v. Give n(l(r)).\nAnswer: -36250*r**2 + 925*r + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2. Let w(a) = -255*a + 2. Calculate w(r(t)).\nAnswer: -510*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b + 0*b**2 + 0*b**5 - 1\/2*b**4 + 0*b**6 + 46\/3*b**3 + 170 - 71\/7*b**7. What is the third derivative of f(a) wrt a?\nAnswer: -8520*a**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/18 and -97\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46354.\nAnswer: 2, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 21 = -14*c + 10*c + 6*g, 3*g = 4*c + 71 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 1 - (-23 - (-53 - -23))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.342? (a) 0.1 (b) 3\/5 (c) -3\/7 (d) -11 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -46d49 + -3?\nAnswer: -46d4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - ((15 - (1 - -30)) + 14)) + 1 + 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/85620 and 39\/199780.\nAnswer: 599340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -28. Let s be w\/9 - 3\/(-9). Suppose -2*m + 232 = 2*f, s = -4*f - 3*m + 484 - 22. Is f a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/8)*y)**44)**14 assuming y is positive.\nAnswer: y**693","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/350 and 47\/384.\nAnswer: 67200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + (-1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -95092, -190175, -285258?\n\"Answer: -95083*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47*q - 277*q - 112*q - 76*q)*(0*q**2 - 5*q**2 - q**2) to the form a + i*q**3 + t*q + p*q**2 and give i.\nAnswer: 3072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 155728535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.06056\nAnswer: 0.018168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from kikkikikikkkkkiikik.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 909 - 914.251. Let j = -0.056 + 5.256. Let n = m + j. What is n rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 (base 4) in base 8?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -370063594 by 829739.\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 11. Let s be 18\/a - (-5)\/(-20). Suppose -5*i = s*w - 24, 3*w + 0*i + 4*i = 22. Solve -2*u + 2 - 10 = w*d, 4*d + 3*u + 15 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 744906, 1489784, 2234662, 2979540, 3724418?\n\"Answer: 744878*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77373795 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1710*u**3 + 2*u**2 - 70895.\nAnswer: 10260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -106?\nAnswer: 11\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.4, 0.5, -53?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -43346388 rounded to the nearest 100000?\nAnswer: -43300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 156*o + 1055. Give p(-9).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 5. Let m = -21 - k. List the prime factors of 3\/(6\/(-4)) - m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 6*w**2 + 7*w + 2. Does 32 divide l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 292*x - 283*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 215957 (base 13) to base 5\nAnswer: 200034400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -438 greater than -437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-50 + 12025\/222)?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9650 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from eeooeeoeeeoeee.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 3*v**2 - 6*v + 4. Let p = -23 - -14. Let i be (-30)\/p - 2\/6. Let u be (-2 + i)\/(1\/4). Give n(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -1425, 3, -1.\nAnswer: -1425, -1, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 12 = 3*r, -8*p + 5*r - 20 = -3*p. Let o = 0 + 2. Let m = 1.7 - -1.3. What is the biggest value in p, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 - 5*n**2 + 3*n + 4. Let v be f(-3). Let h(b) = 3*b - 6. Let r = 8 + -6. Let c(g) = -5*g - r*g + 0*g + 13. Calculate v*c(i) + 9*h(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7947*s + 18379*s - 346260 = 2722998 + 326796 for s.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105170437 (base 8) to base 9.\nAnswer: -37132582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*o**2 + 12*o**2 - 33*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/120*20\/(-18)*9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1. Let x = 0.24 - 0.32. Let v = 0.38 + x. Put a, v, 1\/7 in decreasing order.\nAnswer: a, v, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1184 and -37\/14.\nAnswer: 8288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*q = 10 - 40, -4*q - 20 = 0. Suppose a*n - 44 = 21. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 7*h**2 + 4*h - 3. Let x be m(-4). Let y = -5 + x. Let z(u) = u**2 - u. Let k be z(3). What is the highest common divisor of y and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211433 (base 7) in base 14?\nAnswer: d48a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3424, 2594, 1764, 934, 104?\n\"Answer: -830*q + 4254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 42.796. Let z = j - 25.604. Let f = z - -23. What is f rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4168 + 1930 = -1458*f + 7968 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 55*t**3 - 2*t + 4. Is m(2) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**2 + 43*r - 47. Let f(k) = 28*k**2 + 300*k - 328. Let y(a) = 20*d(a) - 3*f(a). Solve y(x) = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (5 - ((-13 - -6) + 7 + 2 - -2))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f - 12. What is y(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 2196*a - 4384.\nAnswer: -2*(a + 2)*(a + 1096)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37.422 + -2.558. Let y = 38.8 - -2.2. Let r = o + y. What is r rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530463?\nAnswer: 11, 139133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 1. Let j(q) = -61*q**2 + 4*q - 86. Let w(d) = -4*f(d) + 2*j(d). Differentiate w(i) with respect to i.\nAnswer: -244*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -877 - -892. Calculate the remainder when v is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 3 + sqrt(68) + 2 - 2*(sqrt(68)*-3 + 0)) + 3 + -3)**2.\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*y - 22048 = -20288 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 4:16 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8309 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -979*t**2 - 624*t**2 + 177*t**2 - 101*t**2 in the form q + y*t + w*t**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2428 rounded to 3 decimal places?\nAnswer: 1.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**3 - 15106*m**2*r - 1163*m**2 - 2*m*r + m + 2*r - 8786829 wrt m?\nAnswer: 12*m - 30212*r - 2326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 + 2*f**2 - 3*f**2 + (-5*f + 3*f + 4*f)*(0*f + 5*f - 3*f) + 136*f**2 + 630*f - 630*f.\nAnswer: 139*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 22*m**3 - 1. Let n be (1 - 1 - (-2)\/2)\/1. Let j be q(n). Solve j = 4*v + 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 262 + 187 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 3\/7, 0.07, 6\/31, 2\/9, 6\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 683622 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3340\/23 + 146. Let m = k - -1673\/184. Let x = 1093 + -10943\/10. Calculate the common denominator of x and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4512406 is divided by 194?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 1\/8*w**4 + 1 - 3\/80*w**5 + 1\/8*w**3 - 3\/4*w**2 - 3*w. Let k(c) be the first derivative of y(c). Factor k(t).\nAnswer: -3*(t - 2)*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 304\/80 - (-13)\/(195\/18). Solve n*y - 2*d = 6*y + 4, -25 = 5*y + 2*d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 291370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 4:43 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 2. Does 17 divide 1 + u + -3 + 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 2*r**2 - 7*r + 18. What is the units digit of g(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 7*h**2 - 6*h + 4. Let z be j(-6). Suppose -4*s + 4 + z = 0. Suppose -87 - 23 = -s*c. What is the greatest common factor of c and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from yuuyuuyub.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1314111693 to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7647453.\nAnswer: 3, 11, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -142, -159, -200, -277, -402, -587?\n\"Answer: -2*a**3 - 3*a - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*f**3*k**3 + f**3 + 63*f**2 - 17425*f*k**3 - f*k + 5*k**3 - 3432*k**2 wrt k.\nAnswer: -54*f**3 - 104550*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7}. Give prob of picking 2 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 659*s**3 + 101*s**3 - 7*s**2 + 402*s**3.\nAnswer: 1162*s**3 - 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (305 - 33)\/(-17) - (3\/(-2))\/1. Is i greater than or equal to -113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (69*2\/6)\/((-58)\/174*3)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000748145413 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10275*q - 1848 = -10737*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 16*p - 70. What are the prime factors of j(14)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/10705?\nAnswer: 9\/10705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -14*j - 11. Give o(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42733061, 42733063, 42733065, 42733067, 42733069, 42733071?\nAnswer: 42733073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18 and -0.093.\nAnswer: 0.01674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 313932637 to the power of 1\/2, to the nearest integer?\nAnswer: 17718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bb5c3a4 - -9?\nAnswer: -bb5c398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79353 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - a. Let x(y) = -2*y**3 - 6*y**2 - 6*y + 23. Determine 6*t(r) - x(r).\nAnswer: 2*r**3 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39 - 6*v + 285*v**3 + 237 - 4926 + 8*v wrt v?\nAnswer: 855*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from qqqwqff.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94797*a**5 - 3386*a - 36.\nAnswer: 1895940*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 124*y**2 + 117*y - 1. What are the prime factors of b(-5)?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 159225*u + 15099300.\nAnswer: 3*(u - 52980)*(u - 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 5 = 35. What is the second derivative of 36*z**2 - 22*z + 2*z**4 - 36*z**2 + 9*z**f wrt z?\nAnswer: 132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/13? (a) 1\/6 (b) 4 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g + 2418 = -41*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q + 6. Suppose -q*m - 9 - 3 = 0, 3*m = 4*t - 336. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, -1.4, 5, 0.08, -2097?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 824059713 to the nearest integer?\nAnswer: 28706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 127, -2, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 8771?\nAnswer: -52626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 366044 + 4?\nAnswer: 366051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 18 + 1 + 407*w - 1 + 12.\nAnswer: 407*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-5 - -9)) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 3*c**2 - c + 2. Let q be s(3). Let k be (q - -36)*(1 - 0). Suppose 5*d - k = 60. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -3)*(-1 + -5). Suppose -2*n - 3*n = 3*r + 89, 2*r = n + 10. Let c = n + g. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -0.1 (c) 0.039 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8009 + 8013 + (-15 - (0 - -2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 222304 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/354 and 85\/18.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 159883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 2*k - 3*v, k - 4*k + 2*v + 268 = 0. Suppose -l - 120 = 4*q - 0*l, -3*q + 5*l = k. Let a = q - -32. Solve 9 = c + a*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1748 - -1756. Let x = 0.1 + 0.1. Put x, k, -0.5, 1\/2 in decreasing order.\nAnswer: k, 1\/2, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18830 + 2*a**2 - 18831 + 37661.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/11 + 19732*q\/11 - 23378706\/11.\nAnswer: -2*(q - 8489)*(q - 1377)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315 and 73920?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Suppose 4*w - 3*n = 1516, 2*n = -b*n. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 - l**4 - 3*l**3 + 2*l**4 + l**2 + l**4 to c + d*l**2 + t*l**4 + b*l + v*l**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from {o: 1, m: 1, k: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j - 7. What is the remainder when 48 is divided by g(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98984 - 57647. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -522, -0.08, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24184 + -24175. Let a(d) be the first derivative of l*d**2 + d**3 - 39 + 3\/5*d**5 + 0*d - 3*d**4. Factor a(r).\nAnswer: 3*r*(r - 3)*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 5, i: 1, t: 2}. What is prob of sequence tz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjzkffjqjkf. What is prob of sequence vk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*m + 11, -m + 6 = 1. Suppose 3*d - q = -3*z - 0, -14 = -5*d - 4*z. Suppose 58 = 2*o - 2*j, -6*j = 5*o - d*j - 163. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.7983 millimeters in micrometers?\nAnswer: 138798.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384, 378, 362, 330, 276, 194?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*c**3 - 285 - 256*c**3 - c**2 - 367 + 8*c.\nAnswer: -58*c**3 - c**2 + 8*c - 652","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 118*o**3 + 3*o**2 - o - 4. What is the tens digit of p(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247990822 a multiple of 514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 308836, 617720, 926696, 1235812, 1545116, 1854656?\n\"Answer: 8*s**3 - 2*s**2 + 308834*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 60*j + 280*j**3 - 60*j.\nAnswer: 280*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 32*u + 41 + 23 = -35*u, u = 3*o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 + 2270915 + 2*h - 2270948 + 0*h.\nAnswer: 5*h**2 + 2*h - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -b + 18, -b + 4*w + 0 + 18 = 0. Solve 96 = -b*x + 60 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 4*w + 2. Let b(u) = 11*u + 2. Let a(d) = -6*d - 1. Let c(o) = 7*a(o) + 4*b(o). What is 5*c(f) - 2*v(f)?\nAnswer: -2*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 17593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(15 - -5) - 0\/(-2). Let n = -2.6 - -3. Sort n, j, 4.\nAnswer: j, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 26. Let b = 13 + x. Is (-633)\/(-6)*(b + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94 + -74. Let f be (-2 - 3\/(-6))*x\/(-6). Solve 0 = -5*h + 3*b - 15, h - 25 = -4*h - f*b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, 42, 4, -10 in decreasing order.\nAnswer: 42, 5, 4, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 12*n - 278*n**3 + 10 - 289*n**3 + 566*n**3 + 20*n**2. Suppose j + 0*j = 9. Is w(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 1. Let z be s(2). Let b be (-1)\/2*(-3 + z). Suppose -4*f - b = -5*f. What is the greatest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -503, -467, -431?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*o + 31*o + 11*o)*(-5*o**2 + 0*o**2 - o**2).\nAnswer: -186*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, k: 3, n: 3, z: 7, h: 2, g: 1}. Give prob of picking 1 h, 1 g, and 1 z.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/555)\/((-1500)\/(-1859250))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 6:18 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350984 and 14669208.\nAnswer: 4808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 2*m**2 - 1414*m + 129*m - 2*m**3 to the form w*m + r + g*m**3 + c*m**2 and give w.\nAnswer: -1285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 13) to base 11\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -1170855, 1 in descending order.\nAnswer: 1, -2\/5, -1170855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3))**4\/(m**(2\/15)\/(m\/(m*m\/(m\/(((m\/(m\/(m**(1\/13)\/m)))\/m)\/m)*m)*m))) assuming m is positive.\nAnswer: m**(1064\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + -2 + 1)*(-29 + 29388\/1027).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**3 - 4*o**2. Let a(l) = -11*l**3 + 11*l**2. Calculate 3*a(u) + 8*n(u).\nAnswer: -u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27\/4? (a) 0.3 (b) -1\/5 (c) 0.5 (d) -0.468\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-15 + 6 - -4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1515 - -4?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 4 + w**2 - 2*w**4)*((0 - 2 + 4)*(0*w + 4*w - 2*w) - 6*w + 8*w + 9*w).\nAnswer: -30*w**5 - 60*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 38246*z**2 + 67*z - 18*z.\nAnswer: -38246*z**2 + 49*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.17 (b) 12127 (c) 5\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3127731 less than -3127729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 568, 1123, 1640, 2101, 2488, 2783?\n\"Answer: -3*u**3 - u**2 + 579*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*(y\/y**2*y)\/y))\/y)\/y)**(-1\/19)*(y\/(y*y*(y*y\/((y\/(((((y**(-11)*y)\/y)\/y)\/y)\/y)*y)\/y*y)*y*y)\/y))\/y**9 assuming y is positive.\nAnswer: y**(58\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 2\/29 (c) -19 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1081, 1460, 1697, 1720, 1457, 836?\n\"Answer: -12*q**3 + q**2 + 460*q + 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -487 + 401. Is q at most -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**10\/13440 - f**9\/4032 - f**8\/8960 + f**7\/3360 + 5*f**4\/12 - f. Let d(x) be the third derivative of r(x). Factor d(p).\nAnswer: -3*p**2*(p + 1)**2*(3*p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4544.7 - -3746. Let r = n + 799. Let t = 0.1 - 0.1. What is the closest to t in 0.03, -3, r?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9622, -9639, -9682, -9763, -9894, -10087, -10354?\n\"Answer: -2*m**3 - m**2 - 9619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*z - 513 = -503, -2*z + 4 = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 2064*z**2 - 285696*z - 4920320.\nAnswer: -4*(z + 20)*(z + 248)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 52*s - 96. Determine u, given that -2\/3*u**2 - 11\/3*u**s + 0 + 3*u**5 - 4*u**4 + 0*u = 0.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((2375\/1900)\/(75\/18)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**3 + 2*i**2 + 13*i - 15. Calculate the remainder when k(-5) is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 48?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*21*(-4)\/(-14). Let v(o) = -42 + 101 + 6*o - t*o**2 - 50 + o**3. What is the tens digit of v(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5051 (base 6) to base 5.\nAnswer: -13421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 158 divided by 999\nAnswer: 158\/999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5592*z**2 + 152*z + 1. Let k(y) = 5592*y**2 + 127*y + 1. Give 6*k(g) - 5*s(g).\nAnswer: 5592*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 17. Let d(l) = -l**2 - 9*l + 5. Let y be d(j). Suppose 3*n = 4*i + 49, 21 + 10 = n - y*i. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 12, -4*f + 6*f = 5*j + 27. Let x(l) = -37*l - 42. Does 16 divide x(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 3669 + 3529 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = i - 1392, -4*i = -11*r + 6*r - 5503. Let c = i - 378. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 23 = -8*t. Let m(z) = z + 10. What is the least common multiple of m(-7) and (-26)\/(-3) + t\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*p + 1719 - 5653 - 3685 = 0 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-17))**30\/(g**13\/g)**(2\/111))**(-37) assuming g is positive.\nAnswer: g**18878","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/64791 and -11\/23?\nAnswer: 64791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (2 + 2 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -2*l**4\/3 + 2*l**3\/3 + 6*l. Find the second derivative of y(q) wrt q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104262554?\nAnswer: 2, 11, 53, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -143*282\/2585 - -8?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**4\/2 + 91*p**3\/8 + 143*p**2\/8 - 91*p\/8 - 147\/8 = 0.\nAnswer: -21, -7\/4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 5*s + 120. Let p = -25 + s. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/(-10))\/((-10)\/175)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132855923 to the power of 1\/2, to the nearest integer?\nAnswer: 33658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:56 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - q + 298 = 938, 655 = 5*b + 2*q. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 98, -6, -1\/2, 10\/19?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14428229*a**3 + 30*a**2 - 130056*a?\nAnswer: -86569374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/6 + 70*f**2\/3 + 5707*f\/6 + 9928.\nAnswer: (f + 16)*(f + 51)*(f + 73)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -143342.1 and -3139.\nAnswer: -146481.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 5:51 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + 353554124?\nAnswer: 353554105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**2 + 1\/12*v**4 + 0*v**6 + 1\/70*v**7 + 0*v + 0 + 0*v**5 + 0*v**3. Find the second derivative of g(d) wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0197144785 to five decimal places.\nAnswer: -0.01971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r = 148. Suppose 5*h - 79 = -4*x, x - 6*x + 2*h = -r. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 294 and 4368?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -5, -8, 1 in decreasing order.\nAnswer: 2, 1, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174833, -168771, -162707, -156641, -150573, -144503, -138431?\nAnswer: -132357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 8:12 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**6\/30 + 2*a**5\/15 - 4*a**2 - 8. Let k(d) be the second derivative of u(d). What is the third derivative of k(n) wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12630, -12628, -12626, -12624, -12622, -12620?\n\"Answer: 2*n - 12632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 - 1.512.\nAnswer: 10.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 4. Let n = 27 - 25. Let s be p(n). Let i(a) = 6*a**3 + a**2 + a. Let k be i(2). What is the highest common factor of k and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 441. Suppose -4*z = -34 + 26, 2*v - 4*z = -124. Let g = v + y. List the prime factors of g.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6675*l + 80102. Let w be y(12). Let 18\/13 + 2\/13*i**3 + 14\/13*i**w - 34\/13*i = 0. What is i?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 k, and 1 d when four letters picked without replacement from ksdkkkhy.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -6.4. Let n = y - 0.3. Let p = n + 1.7. Which is the closest to 0? (a) 0 (b) p (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10 - 20 - -350)*(-4)\/(-2).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565465 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -96\/143 equal to -0.25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 737938 (base 13) to base 15.\nAnswer: 385771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -194, -412, -636, -866?\n\"Answer: -3*u**2 - 209*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, -11 in decreasing order.\nAnswer: 1, 0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230470.3 nanometers to millimeters.\nAnswer: 0.2304703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c - 22. Let a(v) = -21*v - 81. What is -3*a(f) + 11*s(f)?\nAnswer: 8*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 7:36 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/320 and 97\/1504.\nAnswer: 15040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 96813523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 58*f - 48*f + 92, -130 = 5*u + 5*f for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -254 and 0.052.\nAnswer: -13.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**6\/6 + 17*v**4\/24 - 6*v**2. What is the second derivative of f(a) wrt a?\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m - 106. Let j be k(-14). Put j, 2, 0, -4 in ascending order.\nAnswer: j, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1372 and 316589.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3348409 and -0.7.\nAnswer: 3348408.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -59 + 53. Solve k*p + 10 - 1 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 40*y**3 - 2*y**2 + 9*y - 36. Is j(3) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1674*t + 834*t + 835*t. Let k(h) = 0*h**2 - 3*h**2 + 11*h**2 - 5. Let f(b) = -7*b**2 + 4. Let j(u) = -5*f(u) - 4*k(u). Calculate o(j(d)).\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = -5*j + j. Let b = 119 + j. Let h be (-4)\/(-10) + 2506\/b. What is the highest common divisor of h and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.216\nAnswer: 0.0864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20440 + 10105?\nAnswer: 30545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2735921, 0.2, 3?\nAnswer: 2735921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63296 - 11520 = -1180*i - 1158*i for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - 4*i + 4*i)*(-13 + 13 + i)*(i + 0*i - 2*i) to the form u*i**2 + n*i + t + p*i**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3439 - 3879 = -2*h, 2*h - 7318 = 3*w. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-4))*c**(-4\/7))\/(c*c*c**(2\/31)*c*c**(-2)) assuming c is positive.\nAnswer: c**(-1223\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 118, 631, 1530, 2809, 4462, 6483?\n\"Answer: -p**3 + 199*p**2 - 77*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22746969 + 22746851.99943. Let o = -289 + 172. Let h = r - o. Round h to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -27*l**3 - 5*l**2. Let w(x) = -13*x**3 - 2*x**2. Give 5*w(j) - 2*z(j).\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 2*h - 4*h. Let d = 174 - 101. Let q = d + h. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*c - 7*c - 6*c + 2*c to l + f*c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*o - 5. What is the second derivative of 5*l - l**2 + 3*l**o - 2*l - 2*l wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 2 - 5*l + 7\/3*l**3 + 1\/4*l**4 - l**2. Let v be b(-7). Solve 3*m = -v - 6, -m - 8 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9016 and 4248836.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + 0.2. Let l = 0 - f. Suppose -4*t = 2*z + 8, -4*t - 2*z - 4 = -z. What is the nearest to t in 0, 5, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 3*u. Let n(q) be the first derivative of -q**3 + 7*q**2\/2 + 10. Calculate 4*n(y) - 9*x(y).\nAnswer: -3*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -39, 0, 5875, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-65) - (-36)\/(-65).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/180)\/((-4)\/(-20)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1248 + 1249. Which is the closest to w? (a) 2 (b) -16 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 136 + -1a2254?\nAnswer: -1a211a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 3) + (-22 - (-17 - -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 6, -13126 in ascending order.\nAnswer: -13126, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0.03. Let n = -0.045 + f. Let c = -0.04 + n. What is c rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*v = 405*v - 2415 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + -65. Let q = l + 102. Calculate the lowest common multiple of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 114.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 614175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191696 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 31*l**2 - 106*l + 272. Give j(-34).\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 10*q**2 - 5*q + 13. Let o be r(-8). Is o\/6*(-4)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5164.064t in milligrams?\nAnswer: 5164064000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9096351, 18192749, 27289149, 36385551, 45481955, 54578361?\n\"Answer: n**2 + 9096395*n - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6405, -5878, -5003, -3780?\n\"Answer: 174*x**2 + 5*x - 6584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 + 1042*k**4 - 4156*k**3 + 4152*k**2.\nAnswer: -k**2*(k - 1038)*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 5*s - 11 - 2*s**2 + 18 - 7. What are the prime factors of f(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -4578558\nAnswer: 11\/4578558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221634?\nAnswer: 2, 3, 7, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/445855884 and 19\/764.\nAnswer: 445855884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15629.489 rounded to the nearest 10?\nAnswer: -15630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**(2\/7)\/t))**19*(t\/((t\/((t\/(t*t**(1\/4)))\/t))\/t))**(-43) assuming t is positive.\nAnswer: t**(1745\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v - 56. Let b be x(-27). Let r = b - -204. Let c(o) = -9*o**3 - o. Let k be c(-1). What is the greatest common factor of r and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**6 + m**3 - m. Let l = 56 - 65. Let z(o) = -15*o**6 + 9*o**3 - 21*o**2 - 9*o. Let h(s) = l*d(s) + z(s). Find the third derivative of h(x) wrt x.\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*45647\/168 - 1\/4?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 317 - 723. Let z = -355.1 - v. Let b = z + -50.591. What is b rounded to 2 decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of (19060\/10483)\/((-4)\/(-9790))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.470134 rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 522*g**2 - 3*g**3 + 523*g**2 + 1 - 9*g**4 in the form w*g**4 + o + c*g**2 + x*g + i*g**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -25 (c) 1\/3 (d) 5 (e) -259\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -81798, -81682, -81566?\n\"Answer: 116*t - 81914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 14, -26, -84, -166?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -6. Let s = -57 - -96. Let t = s + -41. Which is the third smallest value? (a) t (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 51. Let g(h) = h**2 - 232*h + 113*h + 119*h. Determine g(s(c)).\nAnswer: 4*c**4 - 204*c**2 + 2601","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(12*c**2 + 867 - 867)*(3*c - 2*c - 3*c) as h + y*c + m*c**3 + b*c**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8335 + -2868. What are the prime factors of g?\nAnswer: 7, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1917 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -229 and -0.0443.\nAnswer: 10.1447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**5\/60 - b**4\/6 + 2*b**3\/3 + b**2. Let d be 1\/(-6) + (-65)\/6. Let s = 7 + d. What is p(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*1*1 - sqrt(156))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 10:37 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -273 - -107?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 5, 0 in descending order.\nAnswer: 5, 0, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1097 + -1077. Solve 25*s - 25 = a*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 130 = 5*s, -4*z - 61*s - 100 = -63*s for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1428 - -1404. Is -12 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 781*d - 4374000 = 775*d. What is d rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 8*l**2 + 9*l + 8. What is w(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 938 - -2730.\nAnswer: 3668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-397 - -404) + (0 - (11 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -43202795.494 and 0.9.\nAnswer: -43202794.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 317.331 - 317. Let i = j + -0.131. Which is the biggest value? (a) -5 (b) -3\/7 (c) i (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + 1)*5)**2 + (3*sqrt(11)*-2)**2 + 2*sqrt(11)*6.\nAnswer: 562*sqrt(11) + 33696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrr when three letters picked without replacement from {r: 6, h: 1, i: 3, n: 2, m: 4, q: 3}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 d when four letters picked without replacement from {d: 17, v: 3}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.492588 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.8805584 to the nearest integer.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354311 is divided by 177051?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 0*s**3 - s**3)*(-1 + s + 1) + 0*s**4 - 4*s**4 + 3*s**4 - 3*s**4 + 0*s**4 + s**4 + 6*s**4 - 41*s**4 - 176440*s + 176442*s.\nAnswer: -40*s**4 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + -9 + 43 + -46?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(868\/154)*8\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100000 (base 2) in base 15?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 5, a: 8, t: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 574 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -79b9 + 4?\nAnswer: -79b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133 + -128. What is the smallest value in -2\/9, w, -645, -0.5?\nAnswer: -645","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27256.09 grams?\nAnswer: 27256090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175681 is divided by 56818?\nAnswer: 5227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence siif when four letters picked without replacement from {w: 3, i: 2, s: 1, k: 2, f: 1, l: 6}.\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/((-4)\/(-1))*(-81 + 24). Let n = -85 + -16. Let x = g - n. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*q - 7*q - 3*q)*(2*q**2 - 2*q**2 + 2*q**2)*(0 + 0 + 2).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 322 + -44. Suppose 3*d - 457 = w. Is 49 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 177033320*o**2*x - 49*o*x - 200090*x wrt o?\nAnswer: 354066640*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*((1 + sqrt(1008))*-6 - sqrt(1008))**2*-6 + 4.\nAnswer: 12096*sqrt(7) + 593142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142 - 88. Let j = 53.9 - f. Which is the biggest value? (a) j (b) 1 (c) 2 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11354225908.0000137 + -11354226509. Let r = h + 601. Round r to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1248 and 1430.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(720) - -5*sqrt(720)*-6).\nAnswer: -1392*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjo when three letters picked without replacement from jjjoojjo.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4079000838 a multiple of 1697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58154 + 117618. What is the ten thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -10*t + 4. Suppose 3*q = 5*k + 24, 5*k = -q + 2*q - 18. Solve q*x - t = 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19 - ((-11)\/1 + 5 + 1). Let b(m) be the first derivative of -11 - 63*m**4 + q*m + 147\/10*m**5 + 44*m**3 + 72*m**2. Factor b(f).\nAnswer: 3*(f - 2)**2*(7*f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-57)\/51 - (-2 + 1). Let w = 5\/2 + -7\/4. What is the closest to -2\/7 in w, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*((-3)\/(-2) - 2). Suppose j = l + y - 2, -l - 4*y + 10 = 4*l. Suppose 2*u = l*x + 32, -3*u - 3*x + 2*x = -68. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*k - 5*k + 5*g, 17 = -k + 3*g. Let l be 11\/(-88) - k\/16. Let c(v) = -v**2 + v - 15. Give c(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 2. Let t(p) = p. Suppose -5*a + 3*j = 2, 3*j = a + 8 + 2. Let y(w) = a*t(w) + f(w). Calculate y(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 95 - 19*z + 16 + 49*z - 12*z. Is 13 a factor of v(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3973989? (a) -0.8 (b) 0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-25)\/(-5))\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 1334*u + 5313. Calculate f(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 - 14\/(-30). Let m = -4.993 - 0.007. Let a = m - -5.3. What is the third biggest value in l, a, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -563074 - -792301. Suppose -4*y - 2*h + 5443095 = -3*h, -5*h + 2721531 = 2*y. Suppose k - y = s. Round k to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-60)\/5)\/(3\/(-6)) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-4))\/(6\/(-5118)). Let o be 95*2\/(4\/26). Let s = o + h. Find the common denominator of -33\/2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-3 + 0) - -2. Suppose 0 = -5*x + 2*g + 14, d*x + 2*g + 0*g = 26. Solve -5*o - 2 = -x*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -328229 (base 11) to base 12\nAnswer: -212a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143161.\nAnswer: 239, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-10))\/(-6 - -12)*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35910 divided by -7182?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -26230*d - 3 - 13769*d + 2. Suppose -4*i + 6*u - 2*u + 20 = 0, -3*u - 17 = -5*i. Let w be r(i). What is w rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/6, 4\/5, 3, -1751, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 5*f**9\/168 + f**5\/20 - 9*f**2\/2 - 6*f. Let w(y) be the first derivative of s(y). Find the third derivative of w(l) wrt l.\nAnswer: 1800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 17*z**2 - 28*z - 13. What is the tens digit of i(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 + 0 = 0. Suppose z - 6 = -c*z. Let f be 2 - z - 2\/(-5). Is f bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + 2*g**2 - 2*g**2)*(-g - 3*g + 5*g) + (5*g - 5*g - 6*g**4)*(277*g + 141*g - g).\nAnswer: -2503*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + 1*sqrt(648) + (sqrt(392) - 2*sqrt(392)))\/(((sqrt(1568) - -1*sqrt(1568)) + sqrt(1568))\/(5*(sqrt(8) + sqrt(8)*2))).\nAnswer: 55*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(425) + 6*(sqrt(425) - (-1 + sqrt(425))))**2.\nAnswer: 80*sqrt(17) + 489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-45468)\/(-1684))\/((-882)\/(-8)))\/(3\/(42\/4))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -41 + (-18 - -20 - 13 - -17 - -5)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -2*c + 135. Let z be c*7\/(-105)*-9. Solve 0*y - y = 4*t, 5*t - y = z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14230 - 59340 = -26*f. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/9 + 4*w = 0. What is w?\nAnswer: 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 2*o + 4. Let f be s(0). Suppose -3*z - f*d = 2*z - 509, -5*z + 2*d = -533. What is the highest common factor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 3*t**2 + 39*t**3 - 42*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 4*f**7\/21 + 2*f**6 + 32*f**5\/5 + 4*f**4 - 32*f**3\/3 - 5896*f. Find y such that n(y) = 0.\nAnswer: -4, -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 0*m + m**3 + 4*m**3 + 2*m**2. Give s(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102831954 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 5*i - 3, 40*l - 43*l + 2*i = -8. Suppose -4*b - 15 = 3*x, 7 = -b - 2*b + 2*x. List the prime factors of 2 + (0 - (b + l)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 2:59 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -u - 4. Suppose -u = b - 4. What is the derivative of -6 - 4*n**4 + b + 2 wrt n?\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/4*c**3 - 4*c + 17\/4*c**2.\nAnswer: -c*(c - 16)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*b - 20. Let g = b + -10. Suppose -s + g*s - 30 = 0. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 0*w**2 + 3*w + 0*w**3 - 1\/12*w**4 + 0. Let z(u) = -u + 0*u + 6*u. What is j(z(y))?\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 326\/132145?\nAnswer: 326\/132145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12 + 20*v**4 - 8*v**4 - 18*v**4 wrt v.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000111598202 rounded to 6 decimal places?\nAnswer: -0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.1 (b) -5 (c) 0.07 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l + 28*l - 2*v + 14391 = 0, -5*v = 25. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 12. Let o be v(0). Let a(s) = -2*s - 8. Let j be a(-5). Suppose -o - 20 = -j*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 19. Let r = 0.7 - 0.1. Let d = r + 0.4. Which is the closest to d? (a) -2\/5 (b) u (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one halves of a minute?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-3)*(-2)\/(-8))\/(25\/(-1300))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-10) - (-3)\/2. Let c(z) = -2*z - 1. Let s be c(v). Let w(o) = 2*o**2 - 4*o - 3. Is 7 a factor of w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*2*1\/8 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -302*v**4 - 2*v**2 - 7*v + 7306 wrt v?\nAnswer: -1208*v**3 - 4*v - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -11303*t + 644267. What is c(57)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -4. Suppose -4*z + 20 = z. Suppose -23 = -i*c + z*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129116907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 178583 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 540575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, g: 1, r: 4, s: 1}. Give prob of sequence dsg.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 25\/2, -0.4, -3, -25361?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 431234467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 57*(-2)\/18.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, -1176, -0.5, 6.6?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 67, 100, 131, 160, 187, 212?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 332 + -212. Suppose -c - 129 = 2*s, -s + 3*c - 10 - 72 = 0. Let j = s + q. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, -2, -37, -17, 4, 6 in increasing order.\nAnswer: -37, -17, -5, -2, 4, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 9*j**2 + 10*j - 14. Give x(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93619*c**4 - 60*c**2 + 114.\nAnswer: 2246856*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 0.1571819?\nAnswer: 0.007859095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 342382 + -117599. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 7*u**2 - 7*u - 4. Let c be n(-6). Suppose -3*y + 5 - 2 = 0. What is the derivative of y - 2*o + o + c*o + 0*o wrt o?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 316911 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 + -8 + -11 + (0 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-126) + 512\/280\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 318 + 280 = 670 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-2)))\/g**5)\/((g**(-2\/3)\/g)\/(g**0*g))*g\/(g\/(g\/(g*g**(3\/5)))*g)*g**6*(g*g\/(g**(2\/7)\/g)*g)**(1\/9) assuming g is positive.\nAnswer: g**(1411\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - 281*c**2 - 153*c - 212. Does 34 divide t(-141)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2*(-11 + 11). Suppose -5*w + 2*w + 63 = s. Suppose 6*r - w = 3*r. Solve -5*i - 3*a + 9 = 0, -3*i + 9 = -r*i + 3*a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(180) + -4)*5)**2 - (-4 + sqrt(180)*2 + (sqrt(180) - (-5 + 1*sqrt(180)) - sqrt(180) - sqrt(180))).\nAnswer: -1500*sqrt(5) + 5124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*h*v**3 + 985*h*v**2 + h + 1479165*v**3 wrt h?\nAnswer: 14*v**3 + 985*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uddduddudduddd. What is prob of picking 4 u?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -98*3\/(-6) + -2. Let t = a + -69. Let h = -13 - t. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d**2*p**3 + d**2 - 13*d*p**2 + 2*d*p - 3*d - p**3 wrt p?\nAnswer: -30*d**2*p - 26*d - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 2*g - 5*u - 64, 70 = 2*g - 2*u. Suppose 0 = -5*j + 2*j + v - g, -j = -3*v + 23. Let a = j + 35. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142 + 85. Let q = x - -27. Let c = q - -34. Solve a = c*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 2:25 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2)*-2)*-2 + -1*-2*(2*sqrt(2) + sqrt(2)).\nAnswer: -8 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25625792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -1, 10, 35, 80, 151, 254?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -315 + 317 + -1 + 14 + -4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/90 and 61\/45780.\nAnswer: 137340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -13097, 0.\nAnswer: -13097, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1628 - -1635. Solve -5*a = -17 + w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -258 + -65 - -309 - (0 + -1 - 124).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.42, 0.3, -8, -0.2, -1172\/3?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*k**3 + 6*k**3 - 12*k**3 + (-4*k**3 + 3*k**3 - 2*k**3)*(-4 - 1 + 3) - 3*k**3 - 2*k**3 + 4*k**3.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**4 + 0 - r**3 - 3*r**3 + 1 - 2*r + r**3 to s + y*r + f*r**3 + l*r**4 + u*r**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 136317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 877.384 tonnes in milligrams?\nAnswer: 877384000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = -f + 13, 17 = 4*f - 5*p. Let k = -6 + f. What is the third derivative of h**2 + 2*h**6 - h**6 - 2*h**k wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c**2 + 3*c**2 + 55*c + 63*c - 118*c.\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 256088174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8833 in 5661, 2\/13, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((6 - 4) + 3 + -1 + -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/4*2\/10. Let d = 2618 + -2629. Which is the smallest value? (a) 0.1 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 8 = 0, -5*v = -w - 0*w + 17. What is the third derivative of 24*f**3 + 23*f**3 + w*f**2 - 35*f**3 wrt f?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/2207975 or 0?\nAnswer: 8\/2207975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 6. Let n be m(6). Suppose 4*d + 0 = 3*x + 6, 4*x + d - 11 = n. Suppose l - 48 = -5*l. What is the smallest common multiple of l and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*n - 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76*d**3\/3 - 52*d**2\/3 + 8*d.\nAnswer: -4*d*(d + 1)*(19*d - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 58516238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*((-69)\/(-15) + -4). Sort -1, z, -3 in ascending order.\nAnswer: -3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6063464 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31110976 and 858.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(96)\/sqrt(4) - (sqrt(2400)*1 - sqrt(2400) - sqrt(2400)))\/(-1*sqrt(800)*3 + 4*sqrt(800)*-1).\nAnswer: -13*sqrt(3)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14*b**2 + 11*b - 2. Let g(a) = 3*a**2. What is -c(z) - 6*g(z)?\nAnswer: -32*z**2 - 11*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*c - 499*c + 12 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/865920 and -167\/330624?\nAnswer: 18184320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8892 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.36563429 take away 0.1?\nAnswer: 2.26563429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 - -61. Let l = -2517 + 2496. Let q = k - l. Which is the closest to -0.1? (a) 0.4 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 3139130 * 0.4.\nAnswer: 1255652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-76)\/(-8))\/(3\/(-6)). Let p = 23 + i. Solve -2*k = -p*m + 7 - 23, -8 = 2*m - 4*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11826)\/(-33) - 2\/11. Let x = 56117\/154 - v. Calculate the common denominator of -41\/4 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 4:57 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 22 = 37. Suppose -5*g - 3*x - 17 = 15, 12 = -g - 2*x. Sort c, -6, g.\nAnswer: -6, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i**4 + 20352*i**3 - 3390051*i**2 - 14660106*i - 3090168 = 0. What is i?\nAnswer: -4, -2\/9, 257, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 8*d**2 - 8*d - 3. Let l be p(-7). Suppose -5 = -l*h - 17, -2*o + 5*h + 1515 = 0. Suppose 4*q - 94 = o. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 6*i + 21. Let n be j(-8). What is the second derivative of 7*a - 6*a**5 + 5*a**n + 13*a - 8*a**5 wrt a?\nAnswer: -180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20898, 41166, 61434, 81702?\n\"Answer: 20268*h + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -85. Suppose 0 = 4*r - b - l, 5*b = 3*r - 0*r - 40. Let j be r\/25 - 4\/10. Solve -3*w = -j*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a**3 - 9*a**2 - 30*a**2 - 16*a**3 - 3*a**3.\nAnswer: -a**3 - 39*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 33. Let h be (4 - 1)*43\/3. Let f = h - b. Calculate the remainder when f is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-9)*-73*3. Suppose -3*l = -2*n - 0*n - 87, 0 = -2*n + 4*l - 84. Let i = m + n. What is the highest common divisor of i and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**5 + 1580*s**4 + 123200*s**3 - 260730*s**2 - 622485*s + 758430 = 0. What is s?\nAnswer: -159, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123857 is divided by 185.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 0*y - 4*y)*(-249*y**3 + 7*y**3 + 46*y**3 - y).\nAnswer: 196*y**4 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4 = 0, -2*x + y = 2 - 15. Suppose -1077 = -4*i - 3*a - 126, -i + 255 = -5*a. Let v = i + -237. Calculate the remainder when x is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5810275 times 7\nAnswer: 40671925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1002574196?\nAnswer: 1002574200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11930939 is divided by 1260?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.604984.\nAnswer: 1.209968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 237\/2 + -118. Let m(k) be the first derivative of -1\/6*k**3 - 4 - a*k - 1\/2*k**2. Find b such that m(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*v - 33 = 0. Let d be 616\/v*(-114)\/8. Suppose -4*z = 3*z - d. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 525 and 210.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(-1) + 13838\/(-13209).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 13\/6*t**3 - 3\/20*t**5 - 4*t**2 - 1\/120*t**6 + 0*t + 1\/12*t**4 + 0. What is w(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - 6*s)*(-s**2 - s + s) - 2*s + 2*s + 3*s**3 + (2*s + 0*s - 5*s)*(2 - 2 + 2*s**2) + s + 3*s**3 - s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -677 + -4?\nAnswer: -67b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 56*g**2 + 59*g + 119. Let s be w(-57). Solve 0 = 5*q - 25, 20*b - 17*b + s*q = 28 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 15 - 53*r**2 - 9 to the form j*r**2 + l*r + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/9))**(-13)*(q\/((q*(q\/(q\/q**(2\/3)))\/q)\/q))\/(q*((q\/(q\/(q**(-12)*q)))\/q)\/q))**(-2\/75))**(1\/29) assuming q is positive.\nAnswer: q**(-292\/19575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3505994 milligrams to kilograms.\nAnswer: 0.0000003505994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41077 (base 9) to base 16\nAnswer: -69a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 575723518 to the power of 1\/2, to the nearest integer?\nAnswer: 23994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5 = 5. Suppose -6 = -5*u - 4*v + v, a*u + 6 = 3*v. Let k(h) = -3*h + 66. Let g(m) = -5*m + 114. Let y(d) = -4*g(d) + 7*k(d). Calculate y(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 2*y**2 - y)*(3*y + 2*y + 0*y)*(-171*y - 7 + 124*y + 337*y) as l*y + a*y**3 + d + x*y**4 + g*y**2 and give x.\nAnswer: -2900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaauu. Give prob of sequence aa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242723 is divided by 187.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/33)*l**(-2\/15)*(l**(-2\/5)*l)\/((l**1*l)\/l*l) assuming l is positive.\nAnswer: l**(-81\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28490 rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22783423?\nAnswer: 13, 811, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -88 and -1.5?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**2 + 17. Let f = 4 - 15. Let a(y) = 2*y**2 - 9. Let p(h) = f*a(h) - 6*b(h). Find the first derivative of p(j) wrt j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 2*l + 4. Let h(u) = u. Let f(r) = 3*r - 2. Let d be f(1). Let i(c) = d*j(c) - 2*h(c). Give i(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675241.\nAnswer: 7, 19, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 523*v - 519*v. Let b(u) = u. Let a be b(4). Suppose -a*w + w = 0. Which is smaller: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/20)\/11*-12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -23 - 21*u + u**2 + 16*u + 13. What is k(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 228 = -7*l. Let d be 1\/(3 + l\/16 + 2). Suppose -57 = -x + 5*n, 0 = -d*x + 3*n - 0*n + 211. What is the remainder when x is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-15)\/18 + 1. Let g = 233.86 + -233.36. Which is the biggest value? (a) j (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13083918 < -13083916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1128077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 319358 by 2.\nAnswer: 159679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 + 58 - 11*v**3 - 14 - 14 + 2*v + 0*v**2 - 26 - 10*v**4 in the form q*v**2 + u*v**4 + k*v**3 + n*v + g and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 13*l**2 - 13*l + 7. Let m(n) = -7*n**2 + 6*n - 4. Let x(j) = 7*m(j) + 4*s(j). Find the third derivative of x(u) wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 15. Let o(l) = 6*l - 2. Let f be o(3). Suppose -t + f - c = 0. Solve 5*p - 3*d - 21 = -0*d, -5 = p + t*d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - 35. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**2\/4 - 489*b\/4 + 2745 = 0?\nAnswer: -183, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.13486 nanometers in millimeters?\nAnswer: 0.00006813486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4572713 weeks in days?\nAnswer: 3.2008991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3915355361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 0.2, -1\/7, 0.3, -1947\/4?\nAnswer: -1947\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 6*t**2 + 3*t - 6. Let l be s(6). Let i = l - 5. Find the second derivative of o**2 + o**2 - 2*o**2 + i*o**3 + 7*o wrt o.\nAnswer: 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 781, 766, 737, 688, 613, 506, 361, 172?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1588*t + 15729414 - 15729414.\nAnswer: 1588*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c**2 + 4*c**2 - 7*c**2)*(-3*c + 4 - 4).\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23555, 47097, 70637, 94175, 117711, 141245?\nAnswer: 164777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32985413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -119, -146, -153, -134?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.62 - 110.62. Let z = q - -109.4. What is the third biggest value in -3, 0, 5, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1432070 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-8)*2 + (-10)\/(700\/(-2905)). Solve -6*g = i - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.316941397 rounded to two dps?\nAnswer: 20.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -351768\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/4655280 and 121\/20538.\nAnswer: 13965840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440) + sqrt(1440) + (sqrt(1440) - (sqrt(1440)*5 + sqrt(1440))))\/(sqrt(20) + sqrt(80)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from {g: 1, u: 1, p: 1, z: 3, q: 6}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3600)\/54)\/10*12\/50?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f - 185 - 172 + 361 + f**2. Determine j(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 34 = 45 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 9753759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/174 and (3\/(-4))\/(3 - ((-16188)\/(-1320) + -10)).\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 11)*(36\/(-56))\/(-3).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/3 + 1008\/(-189))*(-2 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30324524.\nAnswer: 2, 7581131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18.636909 months?\nAnswer: 1.55307575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:58 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -656945 by -5.\nAnswer: 131389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-8))\/((-2)\/(-884)). Calculate the remainder when d + 18 + (-2 - -2 - -4) is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/3)*x\/x**(4\/5)*(x*x*x\/(x*x**(2\/29)*x))\/(x\/(x\/(x\/(x*x**(1\/13)*x*x)*x))))**6 assuming x is positive.\nAnswer: x**(43822\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 4 - -1*2. Suppose 0*b = -b + k + 49, n*k = -3*b + 135. What is the remainder when b is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -y + 29*y. Let l be -2*(y + -5) - -2. Solve 3*w + 8 = z, l = 2*z + w + 4 - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -1. Let s be -1*((-4)\/(-2) + w). Is (1*-3)\/((-3)\/s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6360723754 to 1 dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87494855?\nAnswer: 5, 7, 2499853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*f - 1327 = 0, 6*q + 5*f = 2*q - 2629. Let g = -443 - q. Suppose g - 44 = 4*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 11*f**2 - 13*f + 15. Let l be y(12). Let q be ((-2)\/(-3))\/(1\/l). Suppose -d = 4 - 6. What is the greatest common factor of q and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 - 210231?\nAnswer: -211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 11*f**2 - 5. Let n(g) = -2*g**3 - 11*g**2 + 2. Calculate -4*d(i) - 3*n(i).\nAnswer: 2*i**3 - 11*i**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 9*i + 3*l + 26, 4*i - 137 = l. Let u be 25 - (-1 - i\/7). Calculate the highest common factor of u and 775.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(-4))\/c**(-2\/7))**2)**(29\/4))**(-3\/17) assuming c is positive.\nAnswer: c**(-3219\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 15 = -m. What is the nearest to 1 in -0.3, m, -4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1026, 9360, 31984, 76044, 148686, 257056?\nAnswer: 408300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 20 = -3*r, 0 = -4*x + r + 11. Suppose 4*l + 0*z - z - 5284 = 0, 2*z = x*l - 5288. List the prime factors of l.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghoh when four letters picked without replacement from hoqnvghg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3 - 840*c**2 + 1688*c = 0.\nAnswer: -422, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 - 111*w**2 - 1161*w + 18. What is i(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-24)\/(-10))*76\/37050*39\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*m + 46, 3*m - 5 = 2*m. Suppose -46 + l = -8*f. Let d be 4 - -3 - (f - 2). Solve -4*a + 0 + d = -u, -a + 2*u = 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-3)*6\/5. Let o = -59 + 237\/4. Let i = 155\/2 - 76. What is the second smallest value in a, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 66454, 66452, 66450, 66448?\n\"Answer: -2*k + 66456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -15. What is the remainder when 4 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12501 and 3.\nAnswer: 12501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 1 + 0*i + i**2)*(-6 + 4 + 6).\nAnswer: 4*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/21 and 77\/401862.\nAnswer: 2813034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*2\/(-12) - 3719\/(-420). Let v = -258\/35 + g. Find the common denominator of -19\/14 and v.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 45 - 11 = -3*c, 3*l + 5*c = 184. Suppose o + o = -l. Let p = o + 48. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from {r: 2, f: 1, v: 4, q: 3, n: 1, g: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(715*x - 3157*x - 2823*x + 824*x).\nAnswer: -13323*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**3*k**3 - 92*g**3*k**2 + 15*g**3*k + 5*g**3 + 3*g**2*k + 82*g**2 - 48*k**3 wrt g?\nAnswer: 24*k**3 - 552*k**2 + 90*k + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 0*c - 2*c)*(-10*c + 3*c - 7*c)*(914 - 914 - 19*c) to h*c**2 + o*c**3 + u*c + t and give o.\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7.1 and 2231965.729317.\nAnswer: 2231958.629317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**5\/3 + 200*y**4\/3 - 352*y**3\/3 - 512*y**2 = 0. What is y?\nAnswer: -2, 0, 4, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106820?\nAnswer: 2, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/141 in 6\/7, 1\/3, -4, 66?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(-33*(-12)\/(-144))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253183*y + 10*y**2 - 253183*y - 2*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/23, 0.3, 3 in ascending order.\nAnswer: -4, -1\/23, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 20*i + 8. Let g(r) = -r + 3. Let w(q) = 2*q - 2. Let c(k) = 5*g(k) + 6*w(k). Let n(d) = 17*c(d) - 6*h(d). Find the first derivative of n(v) wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q**2 - 14*q - 75. Calculate f(-4).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.013 and -0.759.\nAnswer: -0.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - 11 - -15 - 12.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192235 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 divided by -100?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.703775\nAnswer: 0.703775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {i: 2, c: 1, v: 2, r: 7}.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-3)*(-2)\/(-4). Let y be (8\/12 + o)*3. Solve -9 + s**2 - 6*s**y - 21*s - 7*s**2 = 0 for s.\nAnswer: -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 105*p**2 - 2*p + 133. Let w(l) = 420*l**2 - 9*l + 529. Let u(t) = -9*h(t) + 2*w(t). What is the first derivative of u(y) wrt y?\nAnswer: -210*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 217\/5256 + ((-12727)\/(-6408))\/(-143).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/7*k**4 + 43\/7*k + 24\/7 - k**3 + 13\/7*k**2 = 0. What is k?\nAnswer: -8, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.4 * 3.24.\nAnswer: -85.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z**3 - 4*z**2 - 15*z + 10. Let q be g(-5). Let t = q - 570. Suppose 3*s - 238 = t. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33321 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-70)*1)\/((-5)\/100 - 24\/420).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 0 + 0)*(-4 + 8*m**2 - 9*m**2 + 0*m**2) to the form j*m**3 + h*m**2 + x*m + o and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60255 (base 7) to base 4.\nAnswer: 3203100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 475 - 493. Let o be 40\/v + 78\/351. Sort 17, 2, -3, o in increasing order.\nAnswer: -3, o, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*k = 2*q, -k = 2. Let p(d) = -2*d**3 - 4*d**2 - d + 2. Let a be p(q). Let -3*x**2 - 7*x + 3 + a*x - x**3 - 4 = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3090 and 50.\nAnswer: 15450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 2 in increasing order.\nAnswer: 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47.2 + -47. Let g be (-4)\/10*(18 - 17). Let x be (-3 - 1)\/((-14)\/(-3)). What is the nearest to g in 0.5, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -902*j + 40854 = -517*j + 1210*j - 616 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 4140?\nAnswer: 4143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Suppose q*d - 37 = -5. Suppose 9*j = d*j + 2. Solve -j*c + 1 = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24383678 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12166 and 9401?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868105121.\nAnswer: 13, 31, 239, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 9*y + 6. Let u(r) = -1 - r**2 - 12896*r + 12900*r - 2. Let v be ((-5)\/((-70)\/4))\/((-3)\/(-42)). What is v*z(f) + 9*u(f)?\nAnswer: -f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12949, -25891, -38833?\n\"Answer: -12942*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*d - 3)*(-d + d - d + (1 - 2 + 0)*(d + 2*d - d) + 0*d - d - d) to the form n*d + o + u*d**2 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/922696 and 65\/59052544.\nAnswer: 59052544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 2 = -2*w - 21, 17 = -2*w - 3*j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34\/235 + 12\/47. Let f be -1*2 - (-2)\/3. Which is the biggest value? (a) d (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1741, -3466, -5177, -6874, -8557?\nAnswer: -10226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + 2*b - 2*b)*(5 - 2 - 1) to the form y*b + r and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -993\/50 != -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*d**5 + 2780*d**4 + 70764*d**3 + 87220*d**2 + 19208*d = 0. What is d?\nAnswer: -49, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from laaaaaaajaa?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((((b\/b**(1\/6))\/b)\/b)\/b)*b**(-2))\/(b**0*b*b**(1\/5)*b))\/((b**1*b)**41\/(b\/b**(-1\/4))**8) assuming b is positive.\nAnswer: b**(-2161\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 353 divided by -1451644.\nAnswer: -353\/1451644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6 (b) 0.061 (c) -0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619495 is divided by 1050?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j - 13. Let c(y) = 1. Let b(o) = -2*c(o) - g(o). What is the tens digit of b(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239888 divided by 59972.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-462)\/(-72)*3)\/(-2) - (-1 + -9). Let d = -12 - -7.7. Which is the nearest to 0? (a) p (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 1\/4 (c) -7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14260, -14259, -14258?\n\"Answer: f - 14261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 11:58 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 37*x - 42*x - 45, -4*x - 2*h + 63 = 3*h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16 (b) -0.01 (c) 0.134 (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a factor of 368872192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**5 - 3*c**5 - 3*c**5 + (2*c**4 - 4*c**4 - c**4)*(5 - 4 - c - 2*c) + (-2*c**4 + 4*c**4 - 3*c**4)*(-3*c - c + 3*c).\nAnswer: 7*c**5 - 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/14, 0.2, 28 in descending order.\nAnswer: 28, 0.2, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 55, 64, 107, 202, 367, 620?\n\"Answer: 3*c**3 - c**2 - 9*c + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 - -10 - (9 - (-1 - (-6 - -1))) - -8.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert 27.56814 centimeters to meters.\nAnswer: 0.2756814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a + 2*a)*(a - 2*a + 2*a) + (-10*a**2 + 3*a**2 - 10*a**2)*(1 - 5 + 3).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 276265?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 72498, 72496, 72494, 72492, 72490?\n\"Answer: -2*j + 72500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28180 plus 141.1626?\nAnswer: 28321.1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k + 12. Let l = -1 - -3. Suppose -5*u - l = -a, a - 3*u - k = -1. Solve a*v = 2*v + 25, -5*v + 13 = -3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12042 + 12046. Sort 0.2, 0.317, n in descending order.\nAnswer: n, 0.317, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -5) + -5 + 9 + -3 + -26?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a\/(a*a**2))\/a)\/a)**42)**(-37)*((a*a**(-2\/3)\/a*a)**36)**18 assuming a is positive.\nAnswer: a**4878","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.318 and 0.2.\nAnswer: 0.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 81446 and 0.02?\nAnswer: 1628.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, i: 2, t: 3, c: 4, f: 2}. What is prob of picking 1 i, 1 f, and 1 n?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33041 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 remainder when 78 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d - 2. Suppose -18*b + 17*b + g = -5, -4*g - 20 = 4*b. Let w be z(b). Put 0, w, -12 in descending order.\nAnswer: 0, w, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3385383.6 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/(q*q*q*q*q*q*q**(-15\/4))))\/(q\/(q**(-12)\/q)*q)*((q**27*q)\/q)**(-13) assuming q is positive.\nAnswer: q**(-1459\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1854 and ((-211)\/206 - -1)*34463\/3615.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 38695.97 days?\nAnswer: 3343331808000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -484432 (base 11) in base 6?\nAnswer: -24235423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 193\/31 - 517\/93. Let y(g) = g**2 - g - 9. Let i be y(0). Which is the nearest to 2\/5? (a) d (b) i (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*u = 548*u + 11682 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-39)\/(-3796)*(-364)\/(-12) and 20\/657.\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*w + 20, -8*x = -5*x - 5*w - 31. Let i be (92 - 0\/x)*-1. Let g = 28 - i. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 12*r - 1. Let u be z(-10). Let w be 0\/(-1) + u\/35. Which is the second biggest value? (a) w (b) -9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 0\/(-3 + 2) + 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*l - 88 + 88 to a*l + c and give a.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6640*h - 9272*h - 216 - 10714*h + 216 to the form i*h + u and give i.\nAnswer: -26626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 1203 + 333 = 0. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*u + 42502 + 376978 + 253726 = 0. What is the highest common divisor of u and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64236680?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*n - 218, 0 = -3*o + 16 - 4. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u - 1. Let m be j(-1). Suppose -3*g = -m - 25. Solve g = -2*k - k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4317 is divided by (-9 + 6)*(-12)\/((-180)\/(-115)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6382697 by -5.\nAnswer: 6382697\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - 9*v)*(-v - 2*v + 2*v)*(-5*v**2 - 42*v - 1 + 42*v).\nAnswer: -45*v**4 - 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -1 (b) 30 (c) -8 (d) 28\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -40. Sort 10, a, -0.2 in decreasing order.\nAnswer: 10, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = -139 - 43. Let h be z\/(-35) + 624\/15. Round h to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.17? (a) 0.2 (b) 4 (c) 6 (d) 0.031 (e) 1\/40\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22, -49, -78, -109, -142?\n\"Answer: -o**2 - 24*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + c8a?\nAnswer: c8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**4 + x**3 + x. Let w = 172 - 169. Let m(b) = -9*b**4 - 11*b**3 - 14*b. Let h(l) = w*v(l) + m(l). What is the second derivative of h(p) wrt p?\nAnswer: -72*p**2 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/10*(-160)\/(-12). Let n be a\/(-6)*(-189)\/(-36). What is the greatest common divisor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12827 divided by 12827.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 158 = 4*b, -6*b + 2*b + 160 = -4*k. Let n = 67 - b. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u**2 - 15*u + 6. Let f(n) = -n**2 - 2*n + 1. Determine -15*f(g) + 2*s(g).\nAnswer: 3*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*c + 168*c = 4*a + 16, a = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 5*v**2 + 1. Let l be n(-5). Let m be (-5)\/20*(-4)\/1840. Let z = m - 3787\/196880. Is z >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19595527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -62, -65, -70, -77?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 10:40 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1551 - -1552. Sort -3, -5, -8, t.\nAnswer: -8, -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 0*r**2 + 0*r**2)*(-r**3 - r**3 - r**3) + 2*r**5 - 9*r**5 - r**5 + 0*r**5 + 2 - 1 + r**5.\nAnswer: -r**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189471519.\nAnswer: 3, 21052391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3371670 and 14310866?\nAnswer: 643988970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgg when three letters picked without replacement from {g: 2, q: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f - 7 - f - 6*f)*(-2 - 1 + 4) - 9*f - 53 + 53.\nAnswer: -8*f - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*x + 15*x - 2*x + 9*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cscscs. Give prob of sequence ccc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 6*d - 4*d)*(-5123*d**3 - 3035*d**2 + 3035*d**2).\nAnswer: -10246*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1873 is divided by 1256.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccl when three letters picked without replacement from chhhfhnlknhfchh?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s*s**1*s)\/s*s)**(-2\/81)*((s**(-1\/7)*s)\/s)\/s*s*s\/(s\/((s\/s**(-2))\/s)*s) assuming s is positive.\nAnswer: s**(416\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2389.8 + -2385.8. What is the second biggest value in 0, -39, x, -3, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -10. What is the third derivative of -10*w**6 - 9*w**2 + t*w**2 - 3*w**2 - 2*w**2 wrt w?\nAnswer: -1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2818999314 is divided by 428?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/1429 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 681 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 - 1 - 64*x - 7*x**3 - 100*x**3 + x**2 - 2*x**2 + 62*x in the form m*x**3 + a*x + l*x**2 + y and give m.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**7\/3 - 13*n**4\/12 - 4*n. Find the third derivative of y(q) wrt q.\nAnswer: 840*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3*y**3 - 9074281*g**3 - 14*g*y**3 + 518863*y**3 - y**2 wrt y?\nAnswer: -12*g**3 - 84*g + 3113178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4456, 8904, 13352, 17800, 22248, 26696?\nAnswer: 31144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -175, -489, -1079, -2035, -3447, -5405, -7999?\nAnswer: -11319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 0 + 1\/6*k**4 + k + k**2 - 1\/3*k**3. Calculate the lowest common multiple of g(3) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324) - 1*sqrt(324) - sqrt(324))\/sqrt(9) + (1*sqrt(360))\/sqrt(10))\/(sqrt(144)\/(sqrt(120)\/sqrt(250))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**6\/c*c\/c**(-1\/8)*c*c*c*c**(-7)*c\/c**(2\/9)*c*(((c*c**1)\/c)\/c)**(1\/16)*(c**(-1)\/c)\/(c*(c\/((c*c*c**(1\/3)\/c*c)\/c))\/c*c) assuming c is positive.\nAnswer: c**(89\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000873082776 to 5 dps.\nAnswer: 0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-5))\/((-212)\/1855)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3298*z + 16. Let c(m) = -m**3 + 3*m**2 + 4*m - 7. Let f be c(3). Suppose -f*t - 14 - 1 = -5*y, 15 = 3*t. Let p be h(y). Round p to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10608 and 700128?\nAnswer: 700128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z - 9*z - z in the form s + x*z and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (42\/(-12))\/((-2)\/(-56)). Let l be (-28)\/m + 128\/238. Determine v, given that 0 - l*v**2 - 4\/17*v - 10\/17*v**3 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -227 + -1?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, c: 2, h: 1, p: 1, w: 1, o: 1}. What is prob of picking 1 c, 1 w, 1 a, and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (38\/4)\/((-12)\/(-240)). Suppose 6*n = n + s. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -24. Suppose -w - 2*c - 17 = -6*c, 0 = 2*w - 3*c + 9. Suppose 0 = -w*y + 26 - 2. What is the highest common factor of y and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 37*x + 110. Let z be w(-3). What is the nearest to z in 2, -0.2, 0.11, -8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27616 - 27530. Calculate the remainder when r is divided by (-3)\/((15\/44)\/(-5)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (438\/(-2044))\/((-6)\/(-8)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s. Suppose -q + 1 - 2 = 0. What is the biggest value in s, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n + 2. Suppose 0 = n*s - 16 + 4. Let y = s - 4. Solve -y*q = -0*q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0\/r)**(-2\/9)\/(r**(-1\/2))**(-1\/16) assuming r is positive.\nAnswer: r**(55\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -38. Calculate the lowest common multiple of 25 and m.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2 - 1293\/(-6). Calculate the highest common factor of h and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 528616095 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0) + (-5 - -2) + -1. Let d be 2 - 4 - (-7 + 0\/a). Solve 5*q + 3 + 18 = -p, -5 = 5*q + d*p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {h: 4, k: 1, a: 9}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -2486687\/10 and -248669 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 20*u**4 + 6*u**3 - 6*u**2 + 6*u + 28. Let h(o) = o**3 - o**2 + o + 1. Let f(k) = -6*h(k) + x(k). What is the derivative of f(m) wrt m?\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6823 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-7))\/(245\/(-343))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2.9999828. Round a to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -487, -6, 3\/5, -1\/9 in descending order.\nAnswer: 3\/5, -1\/9, -6, -487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 50002*a - 12. Let f be z(6). Round f to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**2 - d + 1. Let r = 37 - 33. Let o be (-4)\/10 - 176\/10. Let w(p) = -13*p**2 - 4*p + 5. Determine o*f(g) + r*w(g).\nAnswer: 2*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**4 + 630*r**3 + 8245*r**2 - 8880*r = 0. Calculate r.\nAnswer: -111, -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -54, 3\/5, 596 in decreasing order.\nAnswer: 596, 4\/3, 3\/5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107119236.\nAnswer: 2, 3, 7, 1021, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*v + 3192, -7*h + 5*v - 787 = -8*h. Is h 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 kkgidgrkkig. Give prob of sequence rrrg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(5) + sqrt(125))*-3.\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -4*v - v. What is the remainder when 49 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*-1*(sqrt(1216) + (sqrt(1216) - 5*(sqrt(1216) + -4 + sqrt(1216)) - sqrt(1216)) - 6*3*sqrt(1216)))**2.\nAnswer: -220320*sqrt(19) + 22172004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b**2 + 15*b**2 + 3*b**4 - 2*b**3 + 10*b**3 - 110 - 6*b**3 to the form s*b**4 + l + y*b**2 + w*b + j*b**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 31 = -5*t. Let p(m) = -6*m + 2. What is the remainder when t is divided by p(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1273.31 + -20.69. Let c = -1285 - m. Let g(o) = o**2 - 2*o - 2. Let d be g(3). Do c and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 17 = 25. Suppose 6 = 3*h, 2*b - 2*h = -4*h - 6. Put -3, d, b in decreasing order.\nAnswer: d, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2428a + 1cc?\nAnswer: -2408b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1139 + 1337. Calculate the highest common factor of s and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -5 (b) 1 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 71*-1995478\nAnswer: -141678938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**5\/60 + 3*z**4\/8 - z**3\/2 + 7*z**2. Let s be p(6). Solve -4*l + 19 = m, -2*l - l - m + s = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53770.\nAnswer: 2, 5, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 7*u + 10. Let w be m(7). Let c = w - 9. Let s = 4 + c. Solve 5*q - s*f = -2*f + 6, 0 = q - 5*f + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.07 and 23.49.\nAnswer: 23.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - 5)\/(3 - 36\/8). What is the closest to -2 in 5, 0.3, g, 2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24173, -24165, -24165, -24179, -24213?\n\"Answer: -l**3 + 2*l**2 + 9*l - 24183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -11. Let n be (-6 + d)*(-22 + 0). Solve 24*k = n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 215 and 0.06.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.5 (b) -0.4 (c) -2709 (d) -1\/11 (e) -4 (f) -3\/7 (g) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 66\/(-8)*(-1 + (-1)\/3). Solve -o = -3*q + 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o**2 + o + 1. Let v be h(-1). Let d = v - -21. 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: Solve -f**3\/4 + 35*f**2 = 0.\nAnswer: 0, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 - 210290769970.\nAnswer: -210290769970.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 234 + -160. Let n = -78 + p. Let x be 32\/(-24)*9\/(-22). Put n, 0.2, x in ascending order.\nAnswer: n, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264323*f - 264346*f - 299 = 0 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - o. Determine m(-9).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 141149579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/7 - (-186)\/21. Let o(k) = 2*k**3 - 4*k**2 - k + 3. Let x be o(3). What is the highest common factor of x and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c - 37*c + 0*c + 2982 = 78*c for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -701 bigger than -342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6580, 6582, 6584, 6586?\n\"Answer: 2*t + 6578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 + -20. Suppose -209 = -6*k - m. Suppose -15 - k = -6*a. Let p(j) = -j**3 + 6*j**2 + 9*j - 5. Determine p(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 348126890*c**6 + 2*c**3 - 676*c**2 - c + 15767.\nAnswer: 41775226800*c**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6392 divided by -136.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 61*h**3 - 3*h - 3*h**2 + h - 62*h**3 + 2*h**2 + 435. Let f be y(0). Suppose -7*v = -4*v - f. What are the prime factors of v?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -265 + -85. Let h = 353 + o. Factor 64\/3*w**2 + 44\/3*w**4 + 0 + 256\/3*w - 48*w**h - 4\/3*w**5.\nAnswer: -4*w*(w - 4)**3*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -31. Let v be (-4)\/l - 119\/252. Which is the second smallest value? (a) v (b) 2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -297 + 294. What is the closest to -1\/5 in s, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**3\/2 - 19*t**2 + 61*t\/2 - 14 = 0?\nAnswer: 1, 28\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3 - 18*c - 2 + 24*c**2 - 1 - 10*c**3 + 4 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-4) + (-1608)\/(-32). Which is smaller: 50 or o?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, -3, -5 in increasing order.\nAnswer: -14, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87136 and 28112.\nAnswer: 21871136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175219963?\nAnswer: 547, 320329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 571 + 2*s + 577 - 276*s**2 - 1149 as r + t*s + z*s**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(1224))\/((sqrt(792) + sqrt(22))\/sqrt(11)).\nAnswer: -12*sqrt(17)\/7 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -5650717.0178.\nAnswer: -5650716.8178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.7 in 2\/5, -6, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((3\/4)\/(-3))\/((-16)\/64). Let l(c) = -21*c**2 + c - 1. Give l(s).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/5 - 17378*y**2 + 173777*y\/5 - 86888\/5 = 0. What is y?\nAnswer: 1, 86888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*t - 53*t - 13 + 36 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a millennium?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244289, -244920, -245549, -246176, -246801?\nAnswer: -247424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -326060 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 2083*q**2 + 2083*q**2 - 4174*q**2 + 16 - 25.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 71\/(-4) + -3 - (-6)\/(-12). Which is smaller: -5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**2 + 3*s - 7*s**2 + 4*s**2 + 3*s**4 wrt s?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 5*k**2 + 0*k**2)*((0 + k + 0)*(18 - 18 + 6*k**2) - 31 - 31 - k + 43 - k**3).\nAnswer: 15*k**5 - 3*k**3 - 57*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1411631 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 83*n**2 - 388*n - 223. Calculate z(78).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 117520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*j + 3*j. Let c be -1*((-2 - -2) + j\/8). Let a = -5.9 - -6. What is the nearest to 2\/3 in 3, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/11, -4\/47, -179, -4, -5 in increasing order.\nAnswer: -179, -5, -4, -13\/11, -4\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-27)\/((f\/(f**11\/f))\/f)*((f*(f\/(f\/f**(-2\/43))*f*f)\/f*f)\/f*f*f)\/f**(-6) assuming f is positive.\nAnswer: f**(-303\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36972\/(-30) - 6\/10. Let d = -4859\/4 - j. Calculate the common denominator of d and 30\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 7:58 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 1. Let f(v) = -6*v**2 - 4. Let b(y) = f(y) + 4*p(y). Let o(j) = 306*j. Calculate o(b(m)).\nAnswer: 612*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**2 - 10*b - 175 = 0.\nAnswer: -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d - 5. Suppose -d*j + 79 = -16. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5911850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 41793 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - q = 221, -4*w - 3*q = 30 + 201. What are the prime factors of (8\/(-24))\/(2\/w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 418.02079 and 13.33.\nAnswer: 431.35079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 127 = -181 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1\/7 (c) 1283 (d) 0.18 (e) 2\/7 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.6? (a) 1 (b) 2\/21 (c) 4993\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -630 - -750. Suppose 15*m - g = 600. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(-16)\/(-12)*1*36. Round h to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-31 - -20) - -2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2587?\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 5 + 5)*(6*i**2 - i**4 - 6*i**2) - 21*i**5 + 185*i**5 + 230*i**5.\nAnswer: 396*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24665 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -191 + 202 + (-2 - (2 + -7))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 45. Let y(h) be the third derivative of 0 + 0*h + 0*h**4 - 1\/60*h**5 + 1\/2*h**3 - 3*h**s. What is the derivative of y(d) wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 1. Let j(y) = y**2 - y + 1. Let d(q) = 2*i(q) + 2*j(q). Let u(g) = 2*g**2. Calculate d(u(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -101 + 101 - 10*o**4 + (0*o**3 - 3*o**3 + o**3)*(-o + 2*o - 2*o) + o**4 + 0*o**4 + 0*o**4.\nAnswer: -7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033773500 rounded to the nearest one hundred thousand?\nAnswer: -1033800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqvv when four letters picked without replacement from vggvggqvg.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 + -4 - (-44 - -33))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 224 - 210 = 0. Suppose -c*l - 1129 = -2741. What is the greatest common factor of l and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 2. Let f(m) = -12*m**2 - 5*m + 23. Let i(r) = -f(r) + 6*j(r). Let o(w) = -w**2 - w + 2. Determine 4*i(u) + 22*o(u).\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4*m - 18 = 3*m, 4*m + 60 + 24 = 14*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.1 + 3.6. Let a = -197\/609 + -2\/203. What is the nearest to a in 5, x, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 486 + -a97?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/30)\/((-1)\/5). Let h be 2 + (0\/1)\/m. Suppose v - h*v = 0. Solve -g + 0*j = 4*j - 5, 3*j - 3 = v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 38. Let p be (1 - -8) + 4 + 4. What is the highest common divisor of x and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224937 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b3 - 3?\nAnswer: 5b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4)*(4 + 52\/(-6)). Suppose 0 = i*p - 3*p. Suppose p = -6*q + 11*q. Solve -m - 2 = -q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -115.372 and 133 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2. Let m = 10 + -12. Let g(r) = 4*r**2 - 2. Let u(h) = -13*h**2 + 7. Let z(v) = m*u(v) - 7*g(v). What is t(z(y))?\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.01 - -0.01. Let p = -46.77 + 47. Let l = 0.03 - p. Which is the smallest value? (a) -1\/2 (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -55\/36*c**4 + 0*c + 8 - 1\/945*c**7 + 7\/180*c**6 - 97\/270*c**5 + 242\/27*c**3 - 12*c**2. Let h(o) = 0. Calculate o.\nAnswer: -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**8\/840 - v**7\/1260 + v**5\/120 - v**4\/6 - 2*v**2 + 2. Let t(j) be the second derivative of p(j). Give t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 85867*t**2 + 171741*t**2 - 1 - 85872*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 726*a - 734*a + 1.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zorrzrozerrozzz. Give prob of picking 1 o and 1 z.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 2:15 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -2, -4, -1\/4, 20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.05333t?\nAnswer: 8053330000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 9. Is ((-741)\/(-3))\/(x + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -204, -233, -264, -297, -332?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 - 1 - 1 + 10*b**4 - 20*b**4 - 2*b + 8*b**4 to the form q + x*b**2 + k*b**4 + m*b + l*b**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 517+3.37\nAnswer: 520.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-11)\/((-198)\/4)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5916337.29 to the nearest 10000.\nAnswer: 5920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 164920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-100)\/30)\/((-4)\/12))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7585 to 2 dps.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4327993668 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: Collect the terms in -1052 + 117*m**2 - 232*m**2 - 4505 + 113*m**2.\nAnswer: -2*m**2 - 5557","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -1. Let b = -24.61 + 24.21. Let n = 8 + -41\/5. What is the nearest to -1\/3 in n, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*i + 316 - 49 = 0, 0 = 5*i - 15. Calculate the greatest common factor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-10))\/((-44)\/(-990)). Solve -6*v + 9 = w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1610 = -11*x. List the prime factors of x.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8964, 8839, 8468, 7725, 6484?\nAnswer: 4619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -403*k + 10490. Give w(26).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2\/(-8) - (-35)\/(-20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7338 + -7387. Sort p, 2, 1, 1\/4, 0.2 in ascending order.\nAnswer: p, 0.2, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 27151572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((6\/75)\/(-2)). Let c = 62 - w. Let r = c + -12. What is the greatest common divisor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -16. Calculate the lowest common multiple of (4\/6)\/(2\/r) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14461554823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56112503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*o**2 + 284*o - 58544 with respect to o.\nAnswer: 42*o + 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5808 = 5*j + 3*w, 25*w = 27*w + 8. Calculate the greatest common factor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 40\/24 - (-61951)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5214060 and 1494.\nAnswer: 5214060","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1698*h**2 + 2. Let m be g(-1). Calculate the greatest common factor of m and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -13*z + 167. Determine t(10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**2 - 20*k**2 + 14*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30974 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5007, 4827, 4529, 4113, 3579?\nAnswer: 2927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 8*k**2 - 4*k - 1. Let z(n) = n**2 + n + 1. What is the remainder when z(-8) is divided by x(-8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 490 and 2520.\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*d + 26, -2*g = -4*d + 3 + 3. Let m(a) = 0*a + 0*a + d*a. Let x be m(3). Solve 5*y + x = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 6315*k**3.\nAnswer: -3*k**3*(k - 2105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6275 and 62499?\nAnswer: 1562475","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -39747 divided by 1536.\nAnswer: -13249\/512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210964766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((7 - 1000\/111) + 2)*-3. Which is the fourth smallest value? (a) -1 (b) 3 (c) l (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-76 - 1) + -2 + 89 + 133 + -230?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*r = 85*r + 15*r - 4140 for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*i + 212, -46 = -d + 4*i + 34. Suppose 3*s - m = d, -m + 0*m = 4. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(3\/20)*p)\/p**(1\/7))\/(p**37*p**(2\/7)\/p))**(-2\/11) assuming p is positive.\nAnswer: p**(449\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 391*h**3 + h**2 + 2*h + 1. Let r be y(-1). Calculate the common denominator of -65\/4 and (0 - 2) + r\/(-204).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1696971 and 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 36637?\nAnswer: 36642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Let m be -2 - -21 - 3 - 2. Suppose m = b*p - 0*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 1)*(14*d - 27*d + 14*d - 50) in the form t + n*d and give t.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 8*g**2 + 21. Let f(t) = 7*t**2. Give x(f(w)).\nAnswer: 112*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 39524900 to the nearest 1000000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-24))\/((-3)\/9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + 4. Let k = 24313 + -24301. Calculate the greatest common divisor of f and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1690.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 168 - 173.7. Let o = q - 5.5. What is o rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*v = 478, 462 = -0*y + 4*y + 5*v. Is (y\/(-6))\/((-12)\/180) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 8*r**2 - 9*r. Let p be (-4)\/(-10) + (6 - 308\/20). Let y be i(p). Suppose v - 3 = -0*v. Solve -2*n = 2*f - 5*n - 14, v*n + 12 = y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -89.\nAnswer: 48\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2031\nAnswer: -1\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2796785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45683 + -45516. Calculate the remainder when f is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -0.1, -3, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/110*700\/1470?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 575999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2 - 10. Suppose -8*u + a*u = -16. What are the prime factors of (-2)\/(-4) - (-90)\/u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 2. Let d = 196 + -223. Calculate the remainder when -4*(d - (6 - 11)) is divided by y(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/(-6))\/(217\/757113) is divided by 84.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30799\/10 < -3079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -4 - 1) + 7. Suppose -f + 9 = 1. What is the highest common divisor of f and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(324) + sqrt(324))\/sqrt(12) + 2)**2.\nAnswer: -24*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3722.572, -0.3, 3?\nAnswer: -3722.572","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 647628 and 348?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 11*o + 11. Suppose 0 = -4*k + 5*a + 193, 0 = 2*k - k + 3*a - 27. Suppose 4*c + k = 6. What are the prime factors of i(c)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -5*p**6\/2 - p**5\/5 - 3*p**4\/4 - 1474*p**3 + 7826. Find the third derivative of r(b) wrt b.\nAnswer: -900*b**2 - 24*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*v - 9655, 3*v - 12754 = -2*j - 3083. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-20) - (4 + 72681\/(-12)). Suppose 3*m - 7688 = -4*c, -2*c + 4*m = -r + 2230. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*c + 7002 - 2153 = 0, -2*g = 5*c + 1927. Is 2*5\/(-10)*(g - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842 is divided by 168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 150679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 120\/(-672)*12 - (-54)\/35\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3258*o - 6886*o - 574*o - 1122*o - 1288*o to x*o + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -46?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -219*a + 766. Let b be c(-7). What is the greatest common factor of b and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 7 - 7)*(-12 - 16 - 6 - 15) in the form o*w + l and give o.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-28 - 1) - -29\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.973 - 17335743.3\nAnswer: -17335740.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.38 - -7.38. Let n = 313 + -312. Let g = 171\/2 - 87. Which is the second biggest value? (a) 3 (b) j (c) n (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*g = 12, -5*g - 30 = 5*h - 0*g. Let f be (h\/(-16) + (-18)\/8)\/31. Which is the nearest to 0.1? (a) -0.5 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a288 (base 13) to base 4.\nAnswer: -30130211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 43 = -r, 0 = -5*r - 28 + 3. Let v = 25 - s. Solve g = -g + v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 2*z - 24 = 3*p, 2*z = 8. Suppose -k = 3*s + k - 12, 5*k = p*s + 7. Solve -s*b + 15 = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93538 - -7856707\/84. Let s = c + 83\/12. Solve 0 + 64\/7*g**4 + s*g + 160\/7*g**3 + 68\/7*g**2 = 0 for g.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = -675 - 2111. Let s = t - -207. Suppose 4 = -4*x, 3*x + 15 = 2*m - 2*x. Put 1, s, m in decreasing order.\nAnswer: s, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -8 + (-3 + 2 + 1 - 6).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c - 4 + 4. Let p(f) be the second derivative of 0*f**2 + 0 - f + 0*f**3 + 1\/6*f**4. Determine p(i(o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 + -65 + (16 - 2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, n: 5, z: 5, l: 2, x: 1}. Give prob of picking 1 i and 1 z.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1256, -2518, -3780, -5042?\nAnswer: -6304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.342 in -6\/7, -4, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5732 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z**3 - 10*z**2 - 5*z - 12. Let u(p) = -p**3 - p**2 - p. Let h(f) = t(f) - 6*u(f). Let k be h(-5). Solve -5*g + 12 = -k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 27, -0.2, -0.5, -2, -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**4 - 7250296*y**3 + 6570841760644*y**2 + 13141734273400*y - 19712568783750 = 0.\nAnswer: -3, 1, 1812575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:26 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 3*y**2 - y - 5. Suppose 4 = -2*m + 4*k - 0, 0 = m + 5*k - 19. Let i be (-1)\/m - (-75)\/(-20). Is w(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g + 15. Suppose -3*h = -g*m - 14 + 39, 2*h = 2*m - 14. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 32, 53, 92, 155?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.84 + 0.57. What is s rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a - 3*k = -18, -2*k = -a. Suppose -a*w = -0*w - 56. Let j(r) = -27*r + 74. Calculate the smallest common multiple of j(2) and w.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 1\/20*d**5 + 1\/2*d**4 + 0 + 2\/3*d**3 - 7*d + d**2. Determine x(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7733 - -31804. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8781 divided by 8.\nAnswer: -8781\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + 47 + 1 + -1 + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 803, -2, -1, -3, 5 in descending order.\nAnswer: 803, 5, 4, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*(-690)\/23\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxvee. What is prob of picking 1 e and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + 1011110101010101011011110?\nAnswer: 1011110101010101011000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13082665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -2 (c) -8 (d) -55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -442152 - -1547293. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(68)) + 4 - (-2*sqrt(68)*2*-1)**2) + -3.\nAnswer: -1087 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*i = 0, -4*i + 8 = -n + 4*n. Let t be (-2)\/(-44)*n - 6\/(-3). Which is smaller: 3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55577 and 447?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28193560 rounded to the nearest 100000?\nAnswer: 28200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -310 + 311. Let k(p) = -120*p**3 - 173*p**2 + 8*p. Let h(t) = -2*t**3 + 2*t. Let w(j) = a*k(j) - 4*h(j). Find the third derivative of w(n) wrt n.\nAnswer: -672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 3:38 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 8*m - 402 = 0. What is the lowest common multiple of 8 and m?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 92*k**2 - 8*k + 10. Let c be y(2). Let s = c + -252. What are the prime factors of s?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - u + 3754, 8*u - 3*u = -5*a - 18730. Which is bigger: -3749 or a?\nAnswer: -3749","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y - 22. Let o be 0 + 41\/4 - (-4)\/(-16). Let v be z(o). Let p = v + 54. Solve p*d + 2 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**5\/7 + 14108*z**4\/7 - 490584*z**3\/7 + 5958432*z**2\/7 - 28169856*z\/7 + 36205056\/7 = 0.\nAnswer: 2, 9, 12, 3492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/907 - 1852\/17233. Let m = -5.94 + -0.06. Sort 5, m, l in decreasing order.\nAnswer: 5, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c - 6. Calculate the remainder when (8\/(-16))\/(c\/(-172)) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2. Let g(u) = 2*u - 19. What is -g(x) + 2*h(x)?\nAnswer: -2*x + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(12\/1656*15))\/((-13)\/(52\/(-32))).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 696614256 by -728676.\nAnswer: -956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**3 - 24*x**4 - 6*x**3)*(-2 + 4 - 3).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 893 a factor of 28851647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -64 - 1b?\nAnswer: -7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from {f: 6, i: 2, d: 3, n: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.34 - 3.3.\nAnswer: -6.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 0*i - 4\/3*i**3 + 1\/4*i**4 + 0 - 8*i**2. Is 4 a factor of k(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4418, -17699, -39834, -70823, -110666, -159363?\n\"Answer: -4427*l**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7436 and 2387632.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + 0*k**3 + 0*k**3 + (-2*k - k + 4*k)*(-3*k**3 + 3*k**3 - k**3) - 2632*k**4 + 3293*k**4 + 5088*k**4 - 4*k**2 + 4*k**2.\nAnswer: 5746*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3 = -j, -5373*z + 5375*z + 35 = 3*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 20*h - 204. Suppose 35*u = -413*u + 4480. Determine v(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/41 (b) -0.01 (c) 44 (d) -83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1533 + 1532.88. Sort -2, j, 1\/5 in decreasing order.\nAnswer: 1\/5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1419*s + 1425*s - 36 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -13. Suppose 5*x + 4075 = k*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 9\/40*t**6 + 0 + t**2 - 1\/56*t**8 - 167*t + 1\/2*t**4 + 0*t**3 - 13\/210*t**7 + 2\/3*t**5. Find w such that d(w) = 0.\nAnswer: -3, -2\/3, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-13)\/6)\/13 + -2*33\/36. Let n(d) = -4*d**2 + 4*d + 1. Let m(f) = -9*f**2 + 9*f + 3. What is q*m(l) + 5*n(l)?\nAnswer: -2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1400*x + 2344. What is h(4)?\nAnswer: -3256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -972*h + 2912. Give x(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r + 23 - 31 = 31 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*y + 2741 - 7592 = -83*y for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t. Suppose 2*n = -3*n. Let y be b(n). Let k = -22.6 - -23. What is the nearest to y in 0, -5, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3083 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**3 - l**2 + l + 1. Determine x(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 17 + 8 = 0. What is the remainder when 17 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.6 and 5703238767.\nAnswer: 5703238775.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z. Let t(v) = -37498*v**2. Determine k(t(o)).\nAnswer: -37498*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -2.2, -8, 2\/5, 4\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 10. Let v be r(-7). Suppose v*q = -0*q - 3*u + 546, -3*q - u + 542 = 0. Let b = 295 - q. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 18*f + 188 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13455467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/39 (b) 0.3 (c) 2 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2998713 and 3.\nAnswer: 2998713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 487.7 - 492.7. Which is the second smallest value? (a) z (b) 2\/7 (c) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 279 (b) 0.4 (c) 465 (d) -1\/3 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2\/3, 0.1648?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.7 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336*f + 324*f = -78564. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3743 + -3743.1771. Round z to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533603471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1419 - -988. Let j be -60 + 55 + 182*(-115)\/(-10). Let l = j + g. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 468, 915, 1362, 1809?\n\"Answer: 447*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9880 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 7*p + 911 + 9*p + 9*p.\nAnswer: 12*p + 911","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahahvhha. What is prob of sequence avah?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/5)*d*d\/d**(-1\/6)*d)\/((d**(2\/15)*d)\/d**(-1)))\/((d**(-3\/4)\/d**(-2\/17))\/(d*d\/(d*d**0\/d)*d)**(-6\/17)) assuming d is positive.\nAnswer: d**(287\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 3. Let t be q(0). Suppose 5*f + 71 = -2*s, 2*f + t*s + 9 = -15. Does 13 divide (78\/f)\/(1\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*u + 321 - 321)*(-u**2 + 0*u**2 + 0*u**2) as z*u**2 + f*u**3 + p*u + r and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 3 - 48*a - 2.\nAnswer: -48*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2480162 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -40 and -1102.5623?\nAnswer: 1062.5623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/21 (b) 4 (c) -0.4 (d) 11 (e) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 312 and 1264856?\nAnswer: 49329384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 672 + -3e48f?\nAnswer: -3de1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*g + 1924 - 229 = -14*g. Let q(a) = a**2 + 10*a - 70. Determine q(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33246564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 3*a + 6. Suppose 3*g = -g - 3*p + 32, 3*g = p + 11. Let k be m(g). Let x = -3 - -3.4. Put k, x, -0.2 in descending order.\nAnswer: x, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 10*m + 5. Let o be u(-11). Suppose -17*a = -13*a - o. Suppose -a*q + 3*q = -10. Solve 32 = 5*r - 4*l, -l = 4*r + l - q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, 1, -0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q**2 - 5*q - 4. Let n(r) = -5*r**2 + 4*r + 3. Let y(d) = -4*a(d) - 5*n(d). Let u be 14\/15 + 23\/345. Give y(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7687 - 3714. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5210790 and 9.\nAnswer: 15632370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 223 - 82. Let j = -102 + m. What is the remainder when 153 is divided by j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 18*w. Let d(b) be the second derivative of -5*b**3\/3 + 21*b. Give f(d(v)).\nAnswer: -180*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 + 3*s + 12 - 2*s.\nAnswer: s + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*l*x + 74*a*l - 120*a*x - 449*a - 33*l*x - 10*l + x - 13319 wrt a?\nAnswer: l*x + 74*l - 120*x - 449","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 895778222 to the power of 1\/3, to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24.6 - -24.5479. Let j = n - -0.0520607. Round j to 6 dps.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*c - 0*i - 37, -c - 11 = 2*i. Let m be (0 + (-36)\/c)\/((-2)\/(-14)). Suppose t - 5 - m = 0. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 0. Let i = 122 + -241\/2. Let u = 857\/692 + 2\/173. What is the smallest value in c, i, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 41 - 23\/4*m**4 + 1\/5*m**5 + 0*m + 0*m**3 + 7*m**2. What is the second derivative of q(l) wrt l?\nAnswer: 12*l**2 - 138*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137862*j**2 + 137863*j**2 + 141*j - 141*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13670143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*p*q**3 + 498*p*q**2 + 4*q**5 + q**2 wrt q?\nAnswer: -54*p + 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*o**3*y**3 - 6*o**3*y**2 + 10692*o**2*y**3 - 479*o**2*y**2 - 2*o*y**2 - 4*y**2 - 1 wrt y?\nAnswer: -186*o**3 + 64152*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/2 - 63\/14\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/8 and (2\/4)\/((-12)\/(-153))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s + 0*s)*(-12 - 318*s - 634*s + 760*s)*(3 - 5 + 3)*(-5*s**2 + 3*s**2 + 3*s**2).\nAnswer: -192*s**4 - 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -191 (c) -0.2 (d) 5 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18357 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 731240778 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05808 + -0.45808. What is the smallest value in j, 3, -0.133?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + 133 - -12 - -4) + (-20 - -11)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -650 + 369. Let p = -257 - b. Solve -4*q - x = -p, 4*q - 10 - 18 = -2*x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 8*o**2 + 9*o - 18.\nAnswer: (o - 1)*(o + 3)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 26. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*o = -63, -o + 5*o = -2*g + 46. Suppose -5*k - 210 = -2*k. Let l = 3 - k. What is the remainder when l is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 298*g - 3571. Calculate n(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*d + 4, h = -d + 5. Let l be 4\/(-10) + 261\/15. Let f = h + l. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y**2 + 26*y**2 + 23*y**2 - 15*y**2 + (y**2 - y + y)*(-2 - 2 - 1) + (-1 + 1 + 2*y**2)*(-1 + 2 + 1) to the form h*y + q*y**2 + v and give q.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1027 + 994 = 0. Let h(o) = -o**2 + 6*o - 6. What is the remainder when q is divided by h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26734, -26736, -26740, -26746, -26754, -26764, -26776?\n\"Answer: -h**2 + h - 26734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*x - 32 - 22*x + 30 - 12*x + 319)*(1 + 2*x - 1) to the form r + h*x**2 + z*x and give h.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/10)\/(1\/10). Let l be 33 - 4*(-9)\/(-12). Let i be (j\/l)\/(1\/2). Which is greater: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a + 1. Let h be o(1). Let f be (-3)\/(-2) - (-3)\/h. Let t(g) = -4*g**2 + 0*g**f + 3*g**2. Let r(u) = u**2. Calculate r(t(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415*r**2 - 195*r**2 - 244*r**2.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1059993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w - 5360 - 9498 = 0. Calculate the highest common divisor of 69 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1010\/3*w - 1\/3*w**2 - 255025\/3 = 0. Calculate w.\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44568 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4785010, -19140045, -43065106, -76560193, -119625306?\n\"Answer: -4785013*h**2 + 4*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 88*k + 39*k - 4*k - 23*k - 1. Let s be y(1). Let x be 0 + -1 + 10 + 0. Calculate the highest common divisor of x and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.2 + 3.20000443. What is q rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*k**3 + 122*k**3 + 163*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**3\/3 + 3*n**2\/2 - 7*n - 1. Let o(l) = l**3 - 4*l**2 - 5*l + 1. Calculate the remainder when o(5) is divided by p(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**6*n))**(11\/3))**(-24\/11) assuming n is positive.\nAnswer: n**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*m + 965*m - 6927 - 4512 = -2015. Let f = -4 + 8. Suppose -f*k = -k. Solve -3*q + m*q + 4*w - 5 = k, 0 = -5*q + w + 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 - -293\/3. What is the common denominator of (-31 + 4)*12\/8 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1466406 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 0*h**2 + h**2)*(-3*h + 5 - 4 + 1)*(-5 - 1 + 2) + (-3 - 2 + 0)*(-h**3 - h**3 + 3*h**3).\nAnswer: 19*h**3 - 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**3 + 2*d**2 + 2*d + 1. Let t be f(-1). Solve -4*h - 1 = -3*g, 0*g - 4*h + t = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 4*j + 18. Let s be u(-12). Let i = 80 + s. Suppose p = 2*d - 128, -3*d + 182 = i*p - 6*p. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a9952 - 144?\nAnswer: -a9a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**3 + 8475*v**2 - 225040*v - 233520 = 0.\nAnswer: -1, 28, 1668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -8.1. Let w = n - 0.3. Which is the closest to 2\/9? (a) 3 (b) w (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 418.6 + -419. Which is the nearest to 1\/24? (a) 1\/7 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/1660 and 53\/1660.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 5. Suppose 9 = 4*x - g. Suppose -4*y + x*z = -44, -z = 5*y - 42 + 11. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-2 + 1)*2). Let b be 4*((0 - f) + 2). What is the greatest common factor of b and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 7*v - 3. Let t be u(-2). Suppose 0 = 5*c + 4*b + 4 + 7, -b = 4. Let n be 4\/3 - c\/t. Sort 0, n, -1.\nAnswer: -1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 4*f**2 - 3*f + 1. Let s be r(-3). Let w = 1696 + -1690. Is s\/(w\/1066) - (-4)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.3356*-3\nAnswer: -25.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 10*w**3 - 3 + 0 - w**2 - w**2 in the form r*w + x*w**2 + l + p*w**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10888 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.75 + -55.25. Let r = f + 34. Let y = -20 - r. Do y and -1\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = -5*z + 5, 0 = -4*z - 4. Calculate the remainder when t is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*c + 4*c + 21, -c - 13 = -3*s. Suppose -v - c*v + 60 = 0. Solve v = 4*p - 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -534, -782, -1014, -1236, -1454, -1674, -1902?\nAnswer: -2144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 + 13*f + 12*f**2 - 7*f + f. Let z(s) = -s**3 - 4*s**2 + 4*s + 2. Let x be z(-5). Let h(y) = 6*y + x*y**2 + 0 + 0. What is -6*c(u) + 7*h(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -102578526*b**3 - 5*b**2 + 2551145*b + 2 wrt b?\nAnswer: -615471156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -4) + (-16 - -15) - -39?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (1 - 2))*-2. Solve w - 9 = a*d, 4*w + 4 = 24 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 49, 25, -37, -155, -347, -631, -1025, -1547?\n\"Answer: -3*a**3 - a**2 + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22001112 (base 4) to base 5.\nAnswer: -2303141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 + 5 + 62*b**2 - 3 + 5*b + b**3 - 60*b**2 + 0*b**3 in the form h + n*b + s*b**3 + k*b**4 + f*b**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894768078.\nAnswer: 2, 7, 2621, 51637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.2 - -9.2. Which is smaller: -1\/16 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131372\/25 + 5254. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*v**3 - 2*h*v**2 + h + 196*v**3 + 20*v**2 + 46*v - 33 wrt v.\nAnswer: -12*h*v - 4*h + 1176*v + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 44, -6, 2, 5.\nAnswer: -6, -4, 2, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -247481 + 247480.499933. Let f = 0.5 + m. Round f to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.127147 litres in millilitres?\nAnswer: 8127.147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8256*d**2*y*z + d**2*y + 10*d**2*z + d**2 + 3*d*y*z - 479*d*z - 2*d + 506*y*z - z wrt d.\nAnswer: 16512*y*z + 2*y + 20*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/3)\/(7\/84*4). Suppose q*d = d + 4. Is 4\/(8\/358) + d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -410*i**2 - 1. Let u(o) = -1097*o. Calculate r(u(c)).\nAnswer: -493397690*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + -1*(1*2*sqrt(17))**2.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 3, -4*r - 119 + 113 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.09 - -0.01. Sort -3\/2, k, 2 in descending order.\nAnswer: 2, k, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**10*n**8)**41 assuming n is positive.\nAnswer: n**738","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/9 + 16*c**3\/9 - 232*c**2\/9 + 128*c\/3.\nAnswer: 2*c*(c - 6)*(c - 2)*(c + 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 3*f + 1. Let r be 2\/(-4)*12\/(-3). Let n(k) = -2 + r + k**3 + k - 1. Let h(q) = b(q) + n(q). What is the second derivative of h(x) wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*v - 9748 = 0, -5*v - 3252 = c - 7*v. Let x = c + 6549. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + -5. Let p be (-4)\/f + 36\/21. Determine k, given that -2*k**2 + 0*k**p + 2*k + 1 - 1 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pspssjjsjppsjs. What is prob of sequence psps?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 64, 0.5, -2, -3, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2838 = 46*j - 3206 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 3.\nAnswer: -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363 is divided by 200?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6)*36\/(-1692)*-47)\/1*-26?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r - 3*r)*(5 - 3 + 3)*(-1 - 1 + 6).\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11334, 44983, 101082, 179625, 280606, 404019?\nAnswer: 549858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 362481?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -181 + -1 + -51 + 98 - -8.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 4*x - 10. What is the remainder when 109 is divided by v(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19840 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.45388 (b) -0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 59*a**3 - a**2 + 3*a + 4. Give s(-1).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2368 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h. Let t be j(-4). Suppose -4*c - t + 8 = 0. Let g(y) = -y**2 - 3*y - 1. Let u(n) = -n**2 - n + 5 - 5. Give c*u(r) + g(r).\nAnswer: 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1015, 1005, 995, 985?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6515 (base 13) to base 4.\nAnswer: 3123131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 5*p + p)*(-2*p - 4*p + p) + 7*p**2 + 4 - 4.\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2603*m**2. Let z(s) = 7*s**2 + 6*s - 3. Let n(g) = 74*g**2 + 64*g - 32. Let v(t) = -3*n(t) + 32*z(t). Determine l(v(o)).\nAnswer: 10412*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 3*u**2 - 5*u + 364. Calculate the remainder when d(0) is divided by 74.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**3\/6 + x - 2397. Let o(u) = -302*u**2 + u + 3. Give b(o(d)).\nAnswer: -302*d**2 + d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-134)\/(-1))\/((-5)\/((-110)\/(-308)) + (15 - 3))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + (5 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/7 + 332088*w\/7 + 6642960\/7.\nAnswer: -3*(w - 110716)*(w + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116722 is divided by 1156.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16223329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 88\/7 (c) 5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 divided by 6?\nAnswer: 143\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 2*h + 9 = 9*d, -11 = -d - 2*h. Solve -b - n - 3 = n, d*b + 10 = -5*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26303656918914574058\/19641 + 1339221878992717. Let c = -324901 + f. Let j = -1787287\/432102 + c. Find the common denominator of -121\/12 and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -13, 2\/17, -3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 128\/309, -7, 3\/10?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, r: 5, m: 3}. Give prob of sequence ryry.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 859 != -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -221, 132, 8.\nAnswer: -221, 0.5, 8, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 10:14 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 1, 4, 5.\nAnswer: -69, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-335)\/56 - (20\/16)\/((-50)\/240)?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30362256*w**4 + 3584*w + 2952.\nAnswer: 364347072*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2491 + 2491. Which is greater: v or -24\/41?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**4\/4 + 25*y**3\/4 + 47*y**2\/4 + 23*y\/4 = 0.\nAnswer: -23, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, u: 3}. Give prob of sequence bu.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 - 7 - -1) + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/8 and 63\/698884.\nAnswer: 1397768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -1312665241?\nAnswer: 1312665235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3049236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*c + 516 = 0, 0 = -5*h + 2*c - 32 + 656. Let k be (-112)\/h*(-3)\/(-2). Sort 0, 2\/3, k.\nAnswer: k, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 (base 14) to base 10\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 9:37 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 4877 - 1629 + 5*k - 1620 - 1628.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50 + 2b?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 + 159 - 605)*(-2 - 1 + 1)*(8 + 3*q**3 - 3*q**3 - 2*q**4).\nAnswer: -2080*q**4 + 8320","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 + 3)*(-738 + 372 + 366 + 102*a**2) to w*a + j*a**2 + x and give j.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13825.07413 - 13825. What is q rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/2 + 244 - 9. Solve 243*g = a*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 33*q + 9367 = 0. Suppose q = 2*u - 3*a - 121, 0 = 5*u - 3*a - 1119. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 191 = -71. Calculate the highest common factor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1340.277 rounded to the nearest ten?\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 2*x - 13, -693*i - 10 = -688*i + 5*x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u - 15*u + 4*u - 46*u - 10*u.\nAnswer: -77*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 627070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51913?\nAnswer: 51913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -201101?\nAnswer: 201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -10. Let u be (6\/4)\/(d\/(-112)). Suppose h - u = 4*q + 12, -75 = -3*h - 3*q. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.10772? (a) 32 (b) 2\/5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*w = 35, -2*b - 17*w - 3*w - 35 = -25*w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 2.590744?\nAnswer: -15.544464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 31 - 10*n + 17*n + 11 - 7*n - 6*n. Let f(r) = 2. Determine -44*f(v) + 2*x(v).\nAnswer: -12*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (-2 + sqrt(56)\/sqrt(8)) - sqrt(7) - (sqrt(14)\/(sqrt(2) - (sqrt(2) + sqrt(98))) - sqrt(7)))**2 + (sqrt(28)*-2 + 1 - 6*sqrt(448)).\nAnswer: -360*sqrt(7)\/7 + 36\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 - 2*w**3 - 5*w**3)*(w - 4*w + w) - w**4 - w**4 + 4*w**4 - 4*w**4 + 2*w**4 + w**4.\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -18. Let r(c) = 12*c**2 - 4*c**y - 10 - 5*c**2 + c**3 - 6*c + 4*c**3. What is the tens digit of r(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 994, 1004, 1020, 1042, 1070, 1104?\n\"Answer: 3*m**2 + m + 990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 5, 1, 3 in descending order.\nAnswer: 5, 3, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, n: 4}. What is prob of picking 2 n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 5*f + 13, -28*f - 21 = -27*f - 5*u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/8? (a) -2\/3 (b) -7 (c) -1.6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490234 is divided by 61246.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*w + 2689 - 5001 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*w - 11 = 0, u - 3*w = -2*u + 12. Is 12 a factor of 35\/2 - u\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 0*k - 30*k**2 - 6 - 4*k + 4*k + 4*k. Let i be h(-6). Is (-4)\/(-28) - i\/21 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktkcstckkkskkicckc. What is prob of picking 1 c, 2 s, and 1 t?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5152 - 0.515197377. What is y rounded to 7 decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-44)\/(-10) - 3\/(-5). Find the second derivative of -v**2 + 13*v - 17*v + 7*v**l wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - b = 5749 + 2652, -42005 = -5*w + 3*b. Let q = w + -84111\/10. Let t = 4279\/6 + -733. What is the common denominator of q and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 522? (a) -13 (b) 2\/9 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(40)\/sqrt(392)))\/(sqrt(900)*-1).\nAnswer: -7*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418602 is divided by 46273?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -24. Suppose 0 = h*t + i - 2, -2*t = -5*i - 2. Sort 3, t, 2\/7 in decreasing order.\nAnswer: 3, t, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1885 - 1837. Calculate the remainder when f is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -98?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 - 1. Let l be w(-1). What is the units digit of 89 + 2 + l + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 1609 = 8*g. What is g rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 22*m - 4 = -v, -20 = 5*v + 2*m + 3*m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6717.612mm to kilometers.\nAnswer: 0.006717612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.3 + 18. Suppose 2 - 11 = 2*z + 3*f, 3*z + 7 = 2*f. Which is the closest to 3? (a) z (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 6*l + 36. What is the units digit of (-38)\/(-4)*(l + -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95.43 + -93.83. What is the third smallest value in y, -5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 0 - (-2 + 0 - (-5 - -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 7508.\nAnswer: 37540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-2\/21))**(-31)\/(i*i**(2\/23)\/i*i\/(i*(i*i*i*i**(4\/23))\/i*i*i)))**39 assuming i is positive.\nAnswer: i**(-345098\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15)\/20 - 142\/(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 1\/880, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 7:29 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (4 - 0 - 5)) + -19?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*r - 87*r - 75 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -18*j**2 + 5 + 7*j**2 + 6*j**2. Let w = -13 - -15. Let s(a) = a + 1. Let v(n) = 6*n + 7. Let i(y) = w*v(y) - 14*s(y). Determine t(i(c)).\nAnswer: -20*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, 5, 1, 2 in increasing order.\nAnswer: -13, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 141, 5, 4 in descending order.\nAnswer: 141, 5, 4, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by 69?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v**2 - 108*v + 6733. Calculate h(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10\/3*i**2 - 176\/3*i + 2\/3*i**3 - 416\/3 = 0.\nAnswer: -4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 20 = -8*n. Suppose 2*a + 16 - 114 = -n*u, -2*u + 32 = -a. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 169*a**4 - 160*a**3 - 163*a**3 + 480*a**3 + 2*a**2 - 2*a - 156*a**3 to v + u*a**3 + p*a**2 + c*a + f*a**4 and give f.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -343 less than 3?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2655 and 4877784.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o**3 - 1)*(-99*o + 262*o + 829*o).\nAnswer: 1984*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-4)*1*288\/216.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 320, 477, 632?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96719 and 2359.\nAnswer: 96719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3 - 5*v + 2*v + 2 - v. Let y(m) = 9*m + 3. Calculate 5*u(j) + 2*y(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 39, 1\/5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 14*q = -61, 0*m + 19 = 9*m - 3*m - 3*m - 4*q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 + 19 = -2*h. Suppose -o = -0*l - l + 52, o + h = -3*l. Let c = o - -68. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-665)\/874)\/(-35)*-4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obogbqbkmkqg. What is prob of picking 2 k, 1 g, and 1 q?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 12:39 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h - 28. Let o be m(5). Let u be 4*(-2)\/o + -8 + 24. Suppose -14*q + 11*q + u = 0. Solve -q*c = -9*c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -3. Let y be (-3)\/(-5) + 258\/(-330). What is the nearest to 2 in -3, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (10 - 21 - 13).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 13*a + a**2 + 0 - 6*a - 3. What is the units digit of h(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85748?\nAnswer: 2, 13, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121884 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from {j: 5, c: 3, z: 1, w: 5, x: 2}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11*f**3 - 3*f**2 - 3*f. Let k(r) = -175*r**3 + 49*r**2 + 49*r. Let s = -1522 - -1519. Give s*k(d) - 49*c(d).\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256)*3 + sqrt(256))\/(-2*sqrt(8)*-2).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, 1, 1\/13.\nAnswer: -13, -5, 1\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 705048905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719 - 28 = -143*k - 463 - 991 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1710 = 115*i - 151*d + 154*d, 20 = i - 2*i + d for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 4*c - 2*c + (-4 - 2 + 5)*(-2*c + 2*c + 2*c) - 2*c - 2*c + c - 60*c + 967 - 967 - c + 3*c + 0*c + 3*c - c + 0*c.\nAnswer: -62*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 3*n - 0*n - 2, 0 = -2*d + n + 4. Let x be 9\/2*4\/6. Let i = x - d. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6573035 and -6573039 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(99) + 1*sqrt(99)*2 - sqrt(99))\/(1*sqrt(729))*-3)**2 + -2 + 5.\nAnswer: 98\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 413404367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, n: 8, b: 1, u: 3, e: 2, f: 1}. Give prob of picking 1 f and 2 n.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5 = k, 18 = 3*i + k - 5*k. Let u be i\/5 - 96\/(-10). Factor 8 + p**3 + u - 9*p**2 + 2*p**3 - 6.\nAnswer: 3*(p - 2)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 1. What is the nearest to 6\/5 in h, 3\/8, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -281*f**2*i**3 + 2*f**2*i + 9538*f**2 - 2*i wrt i.\nAnswer: -843*f**2*i**2 + 2*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 79562, 79528, 79482, 79418, 79330, 79212?\n\"Answer: -b**3 - 27*b + 79590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*87692\nAnswer: 43846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005216 a multiple of 1124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 142054257823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 21*k**2 + 17*k + 2. Determine x(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 28668.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**2 + 30340192*h - 57532953162304 = 0. Calculate h.\nAnswer: 3792524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1004?\nAnswer: -1004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80240 by 2.\nAnswer: -40120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*q + 42, 2*u + 18 = 4*u + 3*q. Suppose -12*o = -18*o + 222. Suppose j + o - 39 = 0. Solve -2*h - j*h = -u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-192)*(2 - 4\/(-6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -80*g + 164. Let j be w(2). Let h(c) be the first derivative of 10 - c**j + 0*c**2 + 14\/3*c**3 + 0*c. Find the third derivative of h(x) wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1231804, 2463531, 3695258, 4926985, 6158712?\n\"Answer: 1231727*v + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*t + 36 + 20, u + 5 = 0. Suppose 564803 + 80497 = -t*w. What is w rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/7 + ((-61)\/2)\/(133\/(-38)). Let v(f) = -f**3 + 10*f**2 - 6*f - 18. Give v(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9005 greater than -9000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 181*q + 37 - 182*q + 3 + 2 as o*q + t and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**4 - 21*n**3 + 42*n**2 - 24*n = 0?\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -7. Let q be (9\/15 + 0)*l. Solve -2*j + 14 = 2*y + 2*y, q*j = -4*y + 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 4:37 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2 + sqrt(363))*-6 + 5*(sqrt(363) - (sqrt(363) + 1)) + -5)**2.\nAnswer: 3564*sqrt(3) + 13797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slklstlsfslftssltss. Give prob of picking 2 t.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbnnbnbnynbnb. Give prob of sequence nbby.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 4*y**2 - 2*y + 5. Let o be i(4). Let g = 0 - 0.2. Let f = -0.0055 - -0.0055. Which is the nearest to o? (a) f (b) 1\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**4 + 4*v**4 + 0*v**4)*(-4 + 4 + 3 - 2*v).\nAnswer: 4*v**5 - 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/30*2*(-40)\/16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.3, -0.5, 3, -40?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a - 2. Let l(b) = 10*b + 3. Give -5*l(p) - 6*z(p).\nAnswer: 4*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (sqrt(152) - -4*sqrt(152)*-2 - sqrt(152)))\/(5*(sqrt(8) - sqrt(8)*-1)).\nAnswer: 9*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 661 - 661. Suppose 20*z + 10*z - 21480 = s. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-4 - (-1 + -14)). Sort -3, f, 5 in decreasing order.\nAnswer: f, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1776505582.\nAnswer: 2, 888252791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 = -q, -2*q - 2*s + 10 = -7*q. Suppose 10*h - h - 837 = q. Calculate the remainder when h is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -5\/12, -3\/5, -0.028.\nAnswer: -3\/5, -5\/12, -0.028, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ililiiillill. What is prob of picking 3 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 439470 rounded to the nearest 10000?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from kiiik.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53944425?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -27*g + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 32200 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -39*q + 96*q**2 + 76*q**3 - 76 + 39*q**2 - 69*q**3. Factor v(g).\nAnswer: 3*(g + 13)*(7*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Suppose 7*t - 19*t + 240 = 0. Solve 4*r + t = y*p, 0*p + 18 = -p - 5*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (3 - (3 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*t, 3*t - 2*t = -3*u + 29. Suppose -2 = -3*r + u. Solve 3*g = r*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 7454 = -6865. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 13741 to the nearest one hundred.\nAnswer: 13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h. Let g = 104\/135 + -10\/27. Which is bigger: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181412000 rounded to the nearest one hundred thousand?\nAnswer: 1181400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 20*s**2 + 45*s + 62. Let j be m(-15). Calculate the highest common divisor of j and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19523*p**2 - 19524*p**2 - 19524*p**2 - 19521*p**2 + 97592*p**2 - 19517*p**2.\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*v - 2*a, 0 - 3 = -v + 5*a. Let m(d) = -v - 17 + 4*d - 6 - 5. Let z be m(8). Is z > -3\/98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.83904 * -8.\nAnswer: 6.71232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j + 14. Let k be n(8). Let d = k + 12. What is the derivative of 11 - 31*u**d + 17 + 13 - 9 wrt u?\nAnswer: -62*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 6*y**2 - 4*y - 17. List the prime factors of z(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 19 = 2*a + 5*j, -a = -4*j + 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(95) + (sqrt(95) - -3*sqrt(95)*-1) + sqrt(95))\/(-6*(sqrt(500)*-1 - (-1*sqrt(605) - sqrt(5)))).\nAnswer: 7*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35390000 rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 200\/(-675)*(-9)\/(-12). Which is the fourth biggest value? (a) y (b) 1.8 (c) -6 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 30\/73 and 1664 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.0331 and -0.2.\nAnswer: -2.2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11507*t**5 + 567*t + 3 wrt t.\nAnswer: 230140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383*o**2 - 386*o**2 - 382*o**2 - 6*o**3 + 1151*o**2.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + 26 + -32 + 21 + 5.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11\/95 + 15339\/380. Let g = x + -40. Suppose -4*m - 2*b + 6 = 0, -b + 1 = -5*m - 2. Is g at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377, -394, -411, -428?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a meter in millimeters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**2 + 1459*l + 72883. Give v(532).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 - 2 + 3*v**3 - 7*v - 3*v**3 - 1 - v**3 to f*v**2 + g*v + u*v**3 + q and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j = -13*j + 714. Put -24, j, 4 in increasing order.\nAnswer: -24, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/7, 6, -15, 1.9, 2, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/80 and -55\/756.\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 2*f**2 + 3*f - 2. Let n be t(1). Suppose n = -6*b + 979 + 371. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 7*t**2 - 7*t - 8. Calculate g(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 7. Suppose -2*j - 120 = -4*a, j + 104 = s*a + 3*j. Let i be (-6)\/(1\/((-4)\/6)). What is the greatest common factor of i and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/35)\/l*l**5)\/(l\/((l*l**(-2\/3))\/l)*l*l*l**(2\/9)) assuming l is positive.\nAnswer: l**(17\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 11*y**2 + 20*y - 137. Let j be s(6). Solve -11 = -15*r + j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 110090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 7. Let q be 0 + (-45)\/(5 - 0). Let o be a(q). Let w = 0 + 2. Solve 0 = w*i - m - o + 6, 11 = -i - 4*m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 7*r + 14. Let q be z(2). Solve 3*h + 3*w = 5*h, -20 = -4*h - q*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 7*q**2 - 8*q - 2. Let j be n(5). Solve 25 = 3*a - j*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 16.7111 days?\nAnswer: 1443839040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 59*z**5\/30 - 39*z**4\/4 - z**3\/3 + 39*z**2 - z. Find the second derivative of i(b) wrt b.\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 3 - (-1 + -4 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - -223422523?\nAnswer: 223422500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d - 2205. Let c(q) = -183*q. What is f(c(i))?\nAnswer: 366*i - 2205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -599495 by -5.\nAnswer: 119899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55.975 + -56. Let v = 0.025 + a. Is 0 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4912, -6891, -10190, -14809, -20748?\n\"Answer: -660*r**2 + r - 4253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/10 - (3 + (-1314)\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29454841 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s - 2*s + 8*s + (-3*s + 6*s - 4*s)*(5 - 3 + 0) - 3*s + 7*s - 3*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 30. Suppose -5*y + 3*q = 79 + 58, -2 = l*q. Let i = y + 6. Which is greater: i or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/20 and 11\/1120.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -337 and 43.5.\nAnswer: -14659.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 10 = y, y - 92 = -3*y + 5*m. What is the lowest common multiple of y and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 10*y - 7. Let i be s(-8). Let c(w) = -w**3 - 23*w**2 - w - 21. Let d be c(i). Solve d*k + 32 = 4*j - 2*k, j + 4*k + 17 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*y**5 + 13*y**4 + y**2 + 13*y + 33 wrt y.\nAnswer: 360*y**2 + 312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 54*o**3 + o**2 - 1. Let s = 18 + -17. Let y be c(s). What is the third derivative of -w**2 + 3 + 47*w**5 - 3 - y*w**5 wrt w?\nAnswer: -420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17848 and 872?\nAnswer: 1945432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*z + 15. Suppose -3*t + 1074 = -3*v, -1810 = -6*t + t - z*v. Suppose 3*j = -2*j + t. Round j to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0254 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 6*u**2 + 5*u - 4. Let x be c(5). Let f = -10 - -7. Sort f, x, 1 in ascending order.\nAnswer: x, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from lsllslslllllsl.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 14.22.\nAnswer: 14.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**4 + 82391*a - 313 + 4*a**2 - 82391*a with respect to a.\nAnswer: 8*a**3 + 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.6 or -0.7637979?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 0 + -4 - (sqrt(18) + -1 + sqrt(450))) + (sqrt(48)\/(sqrt(3) + sqrt(12)))\/(sqrt(72)\/sqrt(36)).\nAnswer: -43*sqrt(2)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (6 + -2) - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**2 - 21*s**2 - 2*s**2 - 5*s**2.\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36754 and 714?\nAnswer: 771834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -151 in -4\/3, 0.4, -4, -1\/9, -2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -1682*z**5\/5 - 17*z + 606. Differentiate c(m) wrt m.\nAnswer: -6728*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.04 - -10. Let p = -0.107 - -0.174. Let d = p + r. What is d rounded to 3 decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 18\/7, -2449, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1334 - -6669\/5. Suppose 2*f - 4 - 5 = -y, 3*y - 6 = f. Suppose 3*w = -3*q - 15, -f*q - 3*w = -2*w + 5. Put q, 2\/3, t in descending order.\nAnswer: 2\/3, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.57 in 4.9, 823, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 3 (c) 0.0518 (d) -4 (e) -5 (f) -99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - j + 105. Let q be c(0). Suppose 5*f + 2*v - 111 = 0, -6*f + f = 5*v - q. Suppose -3*x + 2*x + f = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 3*q - q + 2*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 12300112030?\nAnswer: 12300112033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14052537?\nAnswer: 3, 1561393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-65))\/((-1)\/(-13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1619 = 134*h - 547 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/(-208) - (-61766)\/(-46280) and (115*(-1)\/(-12))\/(-1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07243749 rounded to four decimal places?\nAnswer: -0.0724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -3*f - 1\/4*f**4 + 1\/6*f**3 + 0 - 2*f**2 - 1\/20*f**5. Calculate d(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 6. Let i = n - 1. What is the third biggest value in i, 2\/17, 0.5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + s + 3. Let u be i(3). Let f be (10\/u - -1)*-1. Which is the third biggest value? (a) 2 (b) f (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-8)\/9*-3. Let l = 831\/10 + -83. Which is the nearest to w? (a) -3 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 3*i - 2. Let b be y(-4). Factor -162 + 26*u - 6*u - 2*u**b + 16*u.\nAnswer: -2*(u - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 193*r**3 - 8*r**2 - 6*r + 12. Let n(d) = -193*d**3 + 8*d**2 + 7*d - 14. Calculate 6*n(g) + 7*z(g).\nAnswer: 193*g**3 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**4\/12 - 2*j**3\/3 - 2*j**2 - 3*j. Let m be f(-2). Suppose -k = -m - 16. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447863, -895720, -1343577, -1791434, -2239291?\nAnswer: -2687148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1840418*i**2 - 920173*i**2 - 920225*i**2.\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32636007?\nAnswer: 3, 1208741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-8)*(10 - 0). Suppose 2*o = -1 + z. Suppose -4*t + 27 + 11 = -2*k, -5*k - o*t - 95 = 0. What is k rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**7\/147 - p**6\/21 + p**5\/70 + 5*p**4\/42 - 94*p - 87. Let t(o) be the first derivative of v(o). Let t(b) = 0. What is b?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113657578, -113657584, -113657594, -113657608, -113657626?\nAnswer: -113657648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*j**5 - 70*j**3*n + j**3 - 2*j**2*n - 8*j**2 - 2629*n + 3 wrt j.\nAnswer: 2880*j**2 - 420*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uikuuakuiikaufkiu. Give prob of picking 1 u, 2 k, and 1 i.\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24 (b) 2 (c) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 141 + 141 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (822*s - 822*s + 86*s**2)*(-3 - 2*s**3 + s - s).\nAnswer: -172*s**5 - 258*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 8\/(-2))\/((-5)\/((-845)\/39)).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - -3. What is the greatest common factor of c and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 387470 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 829 a factor of 441260120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*-2*1\/6 - -22. Suppose -3*s - h = -3*r - 0*s, 3*r = s + 28. Sort r, 2, -5, -3 in decreasing order.\nAnswer: r, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysyh when four letters picked without replacement from {s: 1, h: 1, y: 2, e: 4, l: 2}?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**4\/8 - 3*j**2 - 14. Determine z(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 4666*x**2 - 8*x - 1. Let q be m(-6). What is q rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-24)*3*6\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 3, b: 5}. Give prob of sequence bm.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/9408389?\nAnswer: -9\/9408389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29440804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 + 4*b**2 - 2*b**2)*(14*b**2 + 32*b**2 + 28*b**2 - 21*b**2) in the form d*b + s*b**2 + a*b**3 + x + k*b**4 and give k.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2184\/(-1560))\/(-6*(-14)\/(-40)). Let k = -9.1 - -9.69. Let l = k + -0.6. Which is the nearest to d? (a) -3 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2\/5 - 12835506*t\/5 + 12835491 = 0 for t.\nAnswer: 5, 4278497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 961\/7 + -137. Calculate the common denominator of v and 10062\/1260 + (-112)\/49.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) -0.057 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*v + (-4 + 4 - 1)*(4*v + 3*v - 6*v) - v - 5*v + 2*v + (-2 + 7 - 3)*(21*v - 11*v + v) + v + 4 - 4.\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -1\/6 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*y = -62*y - 77 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ab9 (base 13) in base 14?\nAnswer: -1687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 33 + 17 + (-3 - -29).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524286048.\nAnswer: 2, 3, 11, 13, 181, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 517*p + 11*p**3 - 22*p**3 + 10*p**3 + 2 + 189*p as z + r*p**3 + n*p**2 + w*p and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 9 = w, 25*w - 20*w = 2*s + 20. Let y = 16 - -12. Let k be 496\/y + (-4)\/(-14). What is the highest common divisor of w and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.2, 4, 0.4, -4\/5, -0.09092933?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1176788.25ms to days.\nAnswer: 0.013620234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*n - 1170, 0 = 2*o - o - 5*n - 585. What is the greatest common factor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/6? (a) -2\/5 (b) -1 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 657988511 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6224d (base 15) in base 10?\nAnswer: -311023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2895 is divided by 322.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*w**5*x + 2*w**4*x + 2*w**4 + 479*w**2*x wrt w?\nAnswer: -4560*w**2*x + 48*w*x + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -16*u**5\/15 + u**3\/3 + 48*u**2. Let m(d) = d**2. Give g(m(k)).\nAnswer: -64*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/18)\/((-5)\/20). Let d = 0.07 - 0.37. What is the nearest to -1 in 1, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5487 and 0.2.\nAnswer: 0.7487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.12, 18, -1\/3, 2\/13 in descending order.\nAnswer: 18, 1, 2\/13, 0.12, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(1\/7)\/y))\/(y\/(y\/(y*y**(-5)*y*y)))*y**(3\/8)\/(y*y**(-3)*y))**(-2\/15) assuming y is positive.\nAnswer: y**(-293\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 8:38 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 42. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 6.3. Let a = 0.5 + h. Let x = -0.2 - 4.8. What is the closest to 1\/3 in x, -2\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 183, 277, 383, 501?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 22*q - 2. Let j(f) = -f**2 - 8*f + 8. Let r be j(1). Let o(w) = -2*w. Let i(n) = r*x(n) - 12*o(n). Calculate i(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28.08115752+-5976\nAnswer: -5947.91884248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8*r**2 + 3*r + 2. Let v be h(-1). Let j = -8 + v. Let n be (1 - j)*2\/4. Which is the closest to 0? (a) -3 (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 465*g**5 - g**4 + 15*g**3 - 3212*g**2 - 3 wrt g.\nAnswer: 27900*g**2 - 24*g + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4 - 8*u**3 - 19*u**2 + 290*u - 600 = 0.\nAnswer: -6, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in 62, 1, 7\/4, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1926, 1, -0.4 in decreasing order.\nAnswer: 1926, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-one halves of a millennium?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - v - 2 - 8 = 0, 5719 = j + 14*v + 5736 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-9)*l*l\/(l*(l**(-1\/17)\/l)\/l)*(l*l\/l**(-2\/3))**29)**(25\/3))**(-13\/2) assuming l is positive.\nAnswer: l**(-749125\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, v: 7}. Give prob of sequence vvjj.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 12:53 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjccccccuddkcckuj. Give prob of picking 1 j and 1 d.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k - 4*b = -30, 5*k - 3*b + 35 = 0. Let d = 2 + k. Let p = d - -14. Solve 9 = -3*x - p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -3*y**4\/20 + 7*y**3\/15 - y**2\/2 + y\/5 - 2. Factor l(i).\nAnswer: -(i - 1)**2*(3*i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/176 and 107\/22176.\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339910112.\nAnswer: 2, 10622191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d = -41*d - 31*d - 605 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 - g**4 + 2*g**4 + (g**4 + 0*g**4 + 2*g**4)*(12 + 3 - 10) + (g - 4*g + g)*(2*g**3 - 7*g**3 + 3*g**3).\nAnswer: 21*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2351 - 40*t - 1950 + 36*t + (-6*t + 7*t + 6*t)*(0 + 0 + 1) - 4*t + 6*t - 3*t as p + g*t and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -907a (base 12) in base 16?\nAnswer: -3d1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, o: 2, x: 3, z: 1}. What is prob of picking 1 w, 1 x, and 2 o?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (69\/(-12006)*-145*(-36)\/(-525))\/(4\/7)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-21)\/(-3528))\/(10*(-2)\/(-1524)) and -101\/210.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4371 (b) -2 (c) -0.4 (d) 11 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 37*k - 32*k - 1.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*o**2 - 5878*o - 49632 = 0.\nAnswer: -282\/35, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 8359645.434 to the nearest one hundred thousand.\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -381, 7\/33, 2\/15, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 16 - (-5 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -422 + -100?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.14576 years in decades?\nAnswer: 1.514576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= -576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00288193336 rounded to 6 dps?\nAnswer: -0.002882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**2 - 4*k**2 - 2*k**3 + k**4 + k + 1 - 5*k**2 as m*k**4 + r*k**2 + f*k + t*k**3 + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 519029551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391359668 to the power of 1\/2, to the nearest integer?\nAnswer: 37301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irr when three letters picked without replacement from crcrricrr.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pttpzmrpimrrtrrzrr. What is prob of picking 1 i, 1 m, and 1 t?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1934440?\nAnswer: 2, 5, 137, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*h + 4. Suppose 4*j + 4*x = -8, -h*j + 2 = -j - x. Solve j*z + 15 = -3*y - z, -2*y = z + 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-28)\/(2352\/(-36))*((-16)\/(-1410))\/(-4).\nAnswer: 2\/235","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 5*n = 3. Let i be (-1)\/1*0 + n. What is the remainder when 7 is divided by 3 - (5\/(-1) - i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/15 + 1\/5. Let h = 11 + -7. Let v = h + -4.1. Which is the closest to 1? (a) 1 (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/9*21\/35*15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16320, -16319, -16318, -16317?\nAnswer: -16316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgtqbgbyq. Give prob of sequence byz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgutr. Give prob of picking 1 r and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(19) + sqrt(19)*-2 + 5 - (-3*(-1*sqrt(76) - sqrt(76)))\/sqrt(4))**2*-6.\nAnswer: -17046 + 1008*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 565139.6 times -0.13?\nAnswer: -73468.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -8032 at least as big as 91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 158*x = 162*x - 58, 27 = 5*w + 3*x - 19 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 371.436 grams?\nAnswer: 0.000371436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -2. Let y(q) = -8*q**3. Let o be y(b). Let r be (-42)\/o*(-160)\/(-30). What is the highest common divisor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -7 + (-5 - (12 - 5))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 1, t: 2, n: 1, e: 3, s: 3}. Give prob of picking 1 e and 1 s.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 1, -5, 21, 2.6?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000055008915 to seven dps.\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6478*c**3 + 46*c + 28. Let b(s) = -2159*s**3 + 15*s + 9. Let d(f) = 11*b(f) - 4*z(f). What is the second derivative of d(n) wrt n?\nAnswer: 12978*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0.13, 5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14550 or 116405\/8?\nAnswer: 116405\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822736.\nAnswer: 2, 51421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*q + 8771, 5*q - 5*f - 10560 - 4035 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/1253 and 12\/16289.\nAnswer: 16289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 167*q - 158. Does 30 divide j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 1\/3 (b) 4 (c) -0.2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -11*o - 250. Let d be m(-23). Solve 0 = 3*z + 5*l - 11, -2*z + d*l - 1 = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 59*w - 242. Let f(v) = 33*v - 121. What is -4*d(r) + 7*f(r)?\nAnswer: -5*r + 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.30007 rounded to one decimal place?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -5*s, 5*u - 10 = -6*s + 11*s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2804 is divided by 284?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((3040\/(-45))\/16)\/(6\/(-27))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.8 + -36.1. Let x = j + 12.231. Round x to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, m: 3}. Give prob of sequence mj.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/772101 and -58\/4719.\nAnswer: 10037313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/7, 2\/793, 2\/5 in decreasing order.\nAnswer: 3\/7, 2\/5, 2\/793, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*l + 3*h - 199, 0 = -2*l + 5*h + 123. What is the remainder when 95 is divided by l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -269 - -263. Let c(o) = 8*o**2 + 12*o + 44. What is the units digit of c(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = -5*b - 5, 2*r - 2 = 3*b. Suppose b = n + 4*c - 1, 0*n = 4*n - c - 38. Let g = 3 - 0. What is the smallest common multiple of n and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*h - 6171, 3*h - 5*m = -4*m + 4625. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -220, -228, -236?\n\"Answer: -8*d - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 + 1414*r + 72196. Determine k(-48).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12300)\/(-120)*(-704)\/(-5).\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 - 110 + 221 - m - 110. Determine g(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28084 and 140.\nAnswer: 140420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35484086 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r - 8*r - 9*r + (1 - 1 - 1)*(-1 + r + 1) + (-1 + 1 - r)*(-4 + 3 + 0) + 0*r - 3*r + r.\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(561) + -3*sqrt(561) + sqrt(561))\/sqrt(11))\/sqrt(3) - sqrt(153)\/sqrt(9)*5*2).\nAnswer: -11*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 13, -155, -5 in descending order.\nAnswer: 13, 4, -4, -5, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 15 = 6*y, 8 = -g + y. Let n(o) = -4*o - 6. Let s be n(g). Solve 0*k = -2*k + s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*v**3 - 8566\/15*v**2 - 9167762\/15 - 9176326\/15*v.\nAnswer: -2*(v + 1)*(v + 2141)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -2. Let u = 0.01 - 0.11. What is the closest to 0 in 0.4, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(33)\/(sqrt(33)\/sqrt(3))) + (sqrt(6)\/sqrt(2) + sqrt(3) + 4 + sqrt(3))**2.\nAnswer: 24*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10496 rounded to 3 decimal places?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95acd3 (base 14) to base 5.\nAnswer: -2243444343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 32206\/4292 - (-231)\/(-42). Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 7:11 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + (sqrt(80) - (sqrt(80) - (3*(sqrt(80) - sqrt(80)*2) - sqrt(80))**2)))*-5 + (4 + sqrt(80) + 0 + -2)**2.\nAnswer: -6316 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867475.\nAnswer: 5, 7, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864)*-3 - sqrt(168)\/(sqrt(28)\/sqrt(4)))\/((sqrt(108) - (sqrt(108) - (sqrt(108) + sqrt(108)*1 + sqrt(108)))*-1)*1).\nAnswer: 19*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 759*b**2 + 2107*b**2 - 549*b**2 + 611*b**2 + 1481*b**2.\nAnswer: 4409*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by -63?\nAnswer: 68\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**3 - 80*g**2 + 828*g + 1944 = 0.\nAnswer: -27, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 7*l - 87. Let t = l + 30. Which is bigger: -0.3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 4. Suppose 0 = d*m - 3*m - 102. Let q = 18587 - 18536. Calculate the highest common divisor of q and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/21 + 1184\/28. Suppose 0*h - 3*h + n = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and 1485824.\nAnswer: 25259008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187c775 (base 14) to base 15.\nAnswer: 10eaa48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, m: 3, e: 3, j: 1, q: 1, p: 1}. Give prob of sequence qmm.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13134 is divided by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g*g\/((g**(-1\/6)\/g)\/g))**(-2\/39) assuming g is positive.\nAnswer: g**(-55\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/12 + 2 + 3\/6. Let b - 1\/2 - s*b**2 = 0. What is b?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 847 and -5.9?\nAnswer: -4997.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwrbrwwwrrrb. Give prob of sequence rrwr.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/10)\/(36\/135)*8. What is the greatest common factor of 30 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**4*y - 4*w**4 - 2*w**3*y**3 - 133*w**2 - 3*w*y**3 wrt w.\nAnswer: -72*w*y - 96*w - 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -45*w**2 - 4*w + 5. Let k(b) = -44*b**2 - 5*b + 6. Let y(f) = 5*k(f) - 6*v(f). Is y(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-3)*(-87)\/58. Let x = -0.3 - 0.2. Put v, -0.2, x in ascending order.\nAnswer: v, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(72)*2)\/(sqrt(96)*2))\/(sqrt(48)\/(sqrt(648) + sqrt(8)) - (sqrt(6) + 2*sqrt(864))).\nAnswer: -5*sqrt(2)\/249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p - 8*p)*(-5*p**2 + 2*p**2 + p**2) - 3*p**3 + 2*p**3 + 2*p**3 + (p**2 + 0*p**2 + 3*p**2)*(-4 + 4 - 2*p).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65\/38 + 4\/19. Suppose -2*y = y - 3. Which is the second smallest value? (a) 3\/8 (b) y (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 2)*(r + r + 0*r)*(-4*r**2 - r**2 + 3*r**2) - 4*r**3 + 4*r**3 + 2*r**3 in the form z*r**2 + l*r**3 + x + y*r and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/(-2*5\/60)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*p + 2 - 3, p + 5*i = -5. Suppose 2*x - 8 - 18 = p. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002 a factor of 322044299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.87947 rounded to 2 decimal places?\nAnswer: -41.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 315.162 and -3970.\nAnswer: -3654.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa7b2 (base 13) to base 7.\nAnswer: 2424415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 11883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 5\/3, 12.9, -0.7, -1\/5 in decreasing order.\nAnswer: 12.9, 3, 5\/3, -1\/5, -0.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 1:51 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/130 (b) 0.09 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (220\/(-10) - -9)*(-5 + 5 + 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -784 or -197?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8*g + 5. Let x be p(-9). Is (-5 + 7)*x\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 53. Let h(x) = 260*x - 51. Let l(j) = -46*j + 9. Let p(n) = -6*h(n) - 34*l(n). Give p(w(m)).\nAnswer: 8*m + 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6440 and 148806?\nAnswer: 68450760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**7\/2 - 125*o**4\/12 + 148*o + 14. Let c(x) be the first derivative of h(x). Find the third derivative of c(r) wrt r.\nAnswer: 1260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, p: 7}. Give prob of picking 1 p and 1 f.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20489567.\nAnswer: 7, 73, 101, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2148 is divided by 127.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 113, 118, 125?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2090592 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168908*j**2*m**2 + 18*j - 518*m**2 wrt j?\nAnswer: 337816*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4182*s**3 - 3*s**2 - 14*s - 11. Is 51 a factor of i(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + -6 + -6 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.86 rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -330, -663, -1006, -1365, -1746, -2155, -2598, -3081?\nAnswer: -3610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 4. Let l = f + -0.9. Let o = 1831\/7 + -262. Which is the biggest value? (a) l (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 157, 263, 395, 559, 761, 1007, 1303?\nAnswer: 1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**5\/30 - 11*x**4\/18 - 35*x**3\/9 - 25*x**2\/3 - 35*x. Let b(k) = 0. What is k?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 131, 137, 143, 149, 155?\n\"Answer: 6*k + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 = 80*u - 233. Solve 4*s - 5*z = -4 + 1, s = -5*z - u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08303 * -2.\nAnswer: -0.16606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-23)\/3 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9156265?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 33222301 (base 4) to base 6\nAnswer: 1213041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26281 = 1006*s - 11191 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3090444, -3090445, -3090446, -3090447, -3090448, -3090449?\nAnswer: -3090450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*-2*-4)\/(sqrt(1296) - (sqrt(1296)*1 + sqrt(1296))))\/((sqrt(250)*-1 + -2*sqrt(1440))*1).\nAnswer: 2*sqrt(5)\/87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -36*w + 38. Suppose -a + 12 = 21. What is the tens digit of f(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.74 and -4.\nAnswer: -2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21723*j = 21630*j + 372. What is the smallest value in -1, -102, j, -0.21?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1135, 2235, 3335, 4435?\n\"Answer: 1100*f + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - -1) + 16723 + -16791?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -4039.\nAnswer: 2\/4039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r + 3. Let i be (2\/6)\/(3*6\/54). Sort i, r, 5 in increasing order.\nAnswer: r, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4787147 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 15*b**2 - 20*b + 1. Calculate the remainder when u(-14) is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1030 - 482. Does 59 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 5:53 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 480 and 489420.\nAnswer: 3915360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/20 + 11010\/90*(-6)\/20\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10220 by -3.\nAnswer: 10220\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5942 + -5939. Suppose -5 = 5*t - 25. Solve 0 = b + t*c - 0 - 5, c - 11 = q*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/((3*sqrt(144) + sqrt(144))\/sqrt(12)))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10001010 + 1?\nAnswer: 10001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-7)\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 5. Let r be f(-4). Put 4, r, -4 in ascending order.\nAnswer: -4, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, o: 1}. What is prob of picking 3 u and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3585)\/(-54) + 3)*2. Let n = -139 + g. Let q = -9 - -8. Which is the third smallest value? (a) q (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) -0.205 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34815 is divided by 104?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 672 - 670. Let d(y) be the first derivative of -9\/5*y**5 - 25 + 0*y + 0*y**3 - 11*y**r + 0*y**4. Find the second derivative of d(a) wrt a.\nAnswer: -108*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2469150 divided by 1?\nAnswer: -2469150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 13843 = -2*s - 2*z - 13873, -4*s - 48 = 4*z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 426085 divided by 7747?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.85392 litres in millilitres?\nAnswer: 18853.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**3 - 11*l**2 + 4*l - 1. Let a be u(-4). Let f be 2 + (4 - -2)\/a. What is the common denominator of -5\/22 and 2\/8*14\/f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m. Let z(j) = 430*j + 18. What is s(z(c))?\nAnswer: 1290*c + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 213 and 1846?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5 + 2821*f**4 - 1116237*f**3 + 4428315*f**2 - 3314898*f = 0 for f.\nAnswer: 0, 1, 3, 471, 2346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(1 + 0) + 0. Let r be o\/(-2)*8\/(-10). Which is smaller: r or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6670143 millimeters?\nAnswer: 0.0006670143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 12, 0*h - 4*h = 2*y + 10. Let k(i) = 2 + y*i**2 - 2. Let g(z) be the third derivative of -z**5\/30 - 3*z**2 - 24. Calculate g(k(a)).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**5\/7 + 12*g**4\/7 - 3*g**3\/7 - 30*g**2\/7 + 12*g\/7 + 24\/7.\nAnswer: -3*(g - 2)**3*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzzvanfa. What is prob of picking 2 n and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3778*o + 3770*o - 18 + 2. Sort -5, -1006, o, 5 in decreasing order.\nAnswer: 5, o, -5, -1006","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9258 and -341.\nAnswer: -3156978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 369 - 398. Let l = v - -26. Let j = 84 - 422\/5. Which is the closest to l? (a) -1\/4 (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/5)\/x)**(-1\/38)\/(((((x\/(x\/(x*x**(-3\/2)*x)))\/x)\/x)\/x)\/x**0) assuming x is positive.\nAnswer: x**(237\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -44\/3. Suppose -15*i + 1606 = -1319. Let m be ((-39)\/i)\/((-1)\/15). What is the second smallest value in m, t, -3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j**2 + 150*j - 200. Let d be h(20). Sort -4, 16, d, 3 in descending order.\nAnswer: 16, 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 + 72*u**3 - 68*u**2.\nAnswer: -4*u**2*(u - 17)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v - 2*v)*(-2*v**2 + v**4 + 2*v**2) - 2*v**5 + 4*v**5 + 7*v**5.\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -1 - 108)*-1. Let a = u - 95. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6950)\/(-2085)*(-3)\/(-10)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 159?\nAnswer: 1749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1714 and 0.23?\nAnswer: -394.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5358 divided by 6.\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 19*s**2 - 6*s + 11. Let h be j(17). Suppose 7*b - 206 = h. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 3\/4 (c) -0.04 (d) 624\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 1. Let j = -498 + 498. Suppose j = -22*b + 18*b - 8. Determine c(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + o**3 - 6*o - 3*o**3 + (-o + o + 2*o)*(0 + o**2 + 0) - 6*o**3 + 3*o**3 + 2*o**3.\nAnswer: -o**3 - 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*q + 156*q = -2*c + 240, -4*c + 4*q = -144. Factor c*d**3 + 0 + 125\/3*d**4 + 8\/3*d + 20*d**2.\nAnswer: d*(5*d + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/1825, 2\/9, -10\/13, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 512940078.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110111 + -1000000?\nAnswer: 110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 441979 and -1908280388?\nAnswer: 1908722367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 3. Determine b(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193 + 96 + 238*o**2 - 162*o**2 + 101 + 157*o**2 + 256*o**2.\nAnswer: 489*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27.658554 nanoseconds?\nAnswer: 0.0000000004609759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 5701353.\nAnswer: 2\/814479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.6 or 1\/2?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h + 40*h - 65 - 1050 - 1165 = 0 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/251, -3, 46, -2, -4\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*t - 1968 = -102*t. Suppose 20*o = 16*o + t. Calculate the remainder when 158 is divided by o.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166149.5787 seconds to weeks.\nAnswer: 0.27471821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61266, -122248, -182656, -242202, -300598?\nAnswer: -357556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u + 294*u - 40*u = 12773 for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3801580 divided by -950395\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + -2153?\nAnswer: -2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 g when three letters picked without replacement from gwgggwgggggggggwp?\nAnswer: 117\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (224\/(-70))\/((-1)\/79). Let j = 509\/2 - v. Calculate the common denominator of j and 77\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 19*g**2 + 22*g - 25. Suppose -2*n - 76 = -4*s + 10, -4*n + 68 = 4*s. Let a be d(s). Solve -2*x + a = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17773675 a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - h + 134, -2*h + 4*h - 10 = 0. Let t = y + 69. What is the highest common divisor of 130 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-124944)\/95)\/((-18)\/60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*p - 17*p - p**2 - 2 - p**3)*((-3 + 0 + 4)*(0*p + 4*p - p) + 1 - 1 + p) + 5*p**4 + 9*p**4 + 50*p**4 as m*p**3 + z*p**2 + s*p**4 + h + w*p and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -31. Solve -n*r + 3 + 1 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2642271498 to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -3 - 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6795*b**5 + 11544*b wrt b?\nAnswer: 135900*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1227*g**3*z + 2*g*z + 2*g + 224*z + 5 wrt g.\nAnswer: -3681*g**2*z + 2*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/((-1989)\/(-2040)))\/(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**5 - 7*r**5 + 0*r**5 + (2*r - 4*r + 0*r)*(r**4 - r**4 - r**4) - 1 + 1 - r**5 - r.\nAnswer: -5*r**5 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2276.497433 + 2471.4974213. Let s = -195 + m. Round s to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6504 + 1764 = -12*i. Let g = i + -389. Calculate the lowest common multiple of g and 46.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1)\/(5\/(-25)*-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*r)*(-94*r - 5181 + 5183 + 31*r).\nAnswer: -126*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahe when three letters picked without replacement from ljaechc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3878913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-20)\/5 + (-11 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 4. Let g be y(-4). Suppose -5*i - 14 - 6 = g. Calculate the remainder when (-333)\/(-36) + (-3)\/i is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-3) + (-4)\/6. Let q(n) be the third derivative of n**4\/24 - n**3\/6 - 4*n**2. Let a be q(-1). Are a and i nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*o - 130, 5*u + 52 = 2*o - 0*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 1672.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - g**2 - 2)*(-3*g + 3*g - 16*g**3).\nAnswer: 16*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.14 - -0.06. Let j = -28 + 27.36. Let m = j + 0.14. What is the closest to -0.1 in 0, m, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = -0. What is the second smallest value in -4, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002924231874 rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8795 (base 12) to base 2\nAnswer: 11101001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, s: 2, l: 2}. What is prob of sequence sppp?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u = 472. Suppose -u = -q + 58. Suppose d - 4*v = 25, 3*v = -d + 6*d - q. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 15*o - 13. Calculate i(7).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -219 + 438. Let o = 220 - q. Let v(k) = 5*k + 7. Let n(l) = l + 1. Calculate o*v(c) - 4*n(c).\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 + 8 = 0. Suppose 0 = 2*g - b - 2. Calculate the lowest common multiple of g and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1.7 (b) 0.4 (c) -0.04 (d) 2\/7 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)\/x*x*((x*x**18)\/x)\/x*x)\/(x\/((x**(-1\/11)\/x)\/x)*x**(-5\/8)) assuming x is positive.\nAnswer: x**(575\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 - 23 = -3*s + 24*h + 588, -109*s - 51 = -106*s + 2*h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9289259 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4693783*d**3 - 5403*d**2 - 53 wrt d.\nAnswer: 28162698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*u + 22 + 80 = -679 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 t, and 1 f when four letters picked without replacement from {f: 1, t: 5, a: 7, z: 6}.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - d**2 - d - 1. Let i(x) = -6*x**3 - 15*x**2 + 4*x + 5. Calculate i(z) + 5*n(z).\nAnswer: -z**3 - 20*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13255 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.628 + 3.628. Which is greater: -1.397 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3666*o**3*t**6 + 2*o**3*t**2 - 116*o + 4*t wrt t?\nAnswer: -439920*o**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2447*k. Let z(n) = 4*n**2 - 234*n - 223*n + 457*n. Determine b(z(y)).\nAnswer: 9788*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4639813 and -3.7.\nAnswer: 4639809.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 3*o**2 + 4*o - 1. Give t(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -559268, -1119103, -1678936, -2238767, -2798596, -3358423?\n\"Answer: i**2 - 559838*i + 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 81634 * 0.1\nAnswer: 8163.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/1921 and -62\/1017?\nAnswer: 17289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((5 + (-3 + (sqrt(11) - (sqrt(11) + 0)*4)*-5*-2)*-4)**2 + -2).\nAnswer: -952122 - 24480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 1.33\nAnswer: -0.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.3 (c) -5 (d) 0.5 (e) 59 (f) -1\/3 (g) 1621\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 6 = 22. Suppose 3*r = -n*c + 22, 4*c - 8 = -r + 5*r. Find the second derivative of 6*d**2 + 19*d + 2*d**r + 9*d**2 + 9*d**2 wrt d.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185 = -2*b - 3*m - 6*m, 2*m - 361 = b - 405 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31836, -31812, -31792, -31782, -31788, -31816?\nAnswer: -31872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 0 + 3)*-1. Let l = z - -3. Suppose 3*v + v = 80. Calculate the least common multiple of l and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -35*f**2 + 2*f**3 + 25*f**3 + 30 + 5*f**4 + 134*f - 85*f - 74*f - 2*f**3 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*c + 12*c - 3. Put c, 13, 1, 0 in decreasing order.\nAnswer: 13, 1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1390913058 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2*l - 238186, 36*d - 3*l + 119099 = 38*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2 + 3)*(22*k**2 - 14*k**2 + 8*k**2)*(-2*k**3 + 0*k**3 + 4*k**3).\nAnswer: -224*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d. Let m(c) be the first derivative of -5 + 18 + c**3 + c**3. Determine s(m(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/3 - -5) + -4. Let f(h) = k*h + 5*h - h**2 - 5*h. Let r(w) = 4*w. Calculate f(r(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbtm when four letters picked without replacement from {m: 3, b: 2, t: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 5:38 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.5, -10, -1\/8, -3 in decreasing order.\nAnswer: 0.5, -0.1, -1\/8, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Let i = -41 - -40. Sort i, u, 4.\nAnswer: i, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glxggxlulggugguzxlx. What is prob of sequence gxuu?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19500994 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3878849441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4060958.\nAnswer: 2, 11, 197, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70863311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, r: 6, g: 8}. Give prob of picking 1 x and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 92501737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 4, -496, 11 in increasing order.\nAnswer: -496, 2, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 69186.8mg?\nAnswer: 0.0000691868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 185, 608, 1429, 2780, 4793?\nAnswer: 7600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 32 = -4*x. Let b = -5 + x. Suppose -t = b - 29. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 20 = -12*o. Suppose 3 = h + 2. Let c = h - o. What is the remainder when c is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 + 47 - (0 + -115)) + (-2 - (12 - 2))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32592 by 8.\nAnswer: -4074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {t: 2, c: 2, w: 4, a: 1, l: 1}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116 + 78. Which is the nearest to 1\/2? (a) -4 (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 509225 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*m + 14232 = -38*m. What is m rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*u - 6 = 0, -23*h - u + 2 = -19*h. Suppose 4*m + 526 = q, -q + 0*q + m + 511 = h. List the prime factors of q.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 - 3*c**4 + 2*c**4 + (-4*c**2 + c**2 + c**2)*(-4*c - 4*c**2 + 4*c) - c**4 + c**4 + 2*c**4.\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t**2 + t. Let m be k(-1). Suppose -3*g + m = -g. Differentiate -q + 0 - 11*q - g wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Factor -1\/4*f**2 + t + 1\/4*f.\nAnswer: -f*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594835.\nAnswer: 5, 118967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**1\/h*h*h*(h**(-3\/2)*h)\/h*h assuming h is positive.\nAnswer: h**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 4*w - 5 - 1, -3*w = -l + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q + 2*q = 63 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, z: 12, l: 1, j: 1}. What is prob of sequence zj?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 4. Let i be r(-3). Let l = 3\/5 + i. Find the common denominator of 47\/33 and l.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Let q(z) = z**3 + 5*z**2 + z + 4. Let o be q(-5). Put p, 1, o in descending order.\nAnswer: p, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1728*q**2 - 17322*q + 13. Calculate w(10).\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-39))\/((-57)\/18)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10315, 20642, 30973, 41308, 51647, 61990, 72337?\n\"Answer: 2*q**2 + 10321*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -15*z**4 + 189*z**3 + 2733*z**2 + 7875*z + 5346 = 0.\nAnswer: -27\/5, -3, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8)*6 + -2*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 8 = -2*k + 5*k, 0 = -k - 4. Suppose -d = -w - 12. Let m be (-1)\/(-1 - -2) - w. Solve -3*n + m - 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42171 + 14277 = -882*n for n.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -50175?\nAnswer: 50177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/6 + (-1804)\/738. Let h = -0.1 - -0.2. Let t = h - -0.1. Which is the nearest to 0? (a) -2\/7 (b) t (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -562, -564, -566, -568?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 i when four letters picked without replacement from {i: 5, e: 1, h: 2, m: 1, k: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 take away 164043189?\nAnswer: -164043222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 239*v - 240*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13a668 - -3d4?\nAnswer: -13a274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t - 3*t - t**2 + 2*t + 4*t**2 wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 3*j. Suppose f = -2*f. Let g(t) = -t**2 + 1. Let m be g(0). Let s = m - f. Let o(y) = y**3 + y**2 + y. Determine s*l(z) + o(z).\nAnswer: z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70307641 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 16*r**2 - 48*r - 13. Let h be g(16). Let x = 783 + h. Suppose -1\/5*i**x - 2\/5*i**3 - 1\/5*i**4 + 0*i + 0 = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-21))\/(p\/p**(-2\/65))*((p*p**28)\/p)\/(p*p*(p\/(p*p*p**(-26)))\/p) assuming p is positive.\nAnswer: p**(1493\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -139*d**3 + 2*d**2 - 2284*d + 2282. Give t(1).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -401332 + -7?\nAnswer: -401341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 2484838?\nAnswer: 2484842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-9\/2))**(2\/45) assuming z is positive.\nAnswer: z**(-7\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.119.\nAnswer: 0.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 320\/51 (b) 1\/7 (c) -1\/2 (d) 0 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + 10 + 2*j**2 - 9 + (j + 0*j - 2*j)*(-j + 3*j + 0*j) to h*j + n*j**2 + c and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -51, -44, -37, -30?\n\"Answer: 7*o - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 860, 3433, 7722, 13727, 21448, 30885, 42038?\nAnswer: 54907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -3. Suppose 0 = -2*m + d, 0*y - 2*y + 37 = -m. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (20\/(-25))\/((-2)\/(-140)*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -43*g**7\/30 + 4295*g**4\/24 + 11*g**2 - 23*g. What is the second derivative of b(p) wrt p?\nAnswer: -3612*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 8*j + 6. Let a be z(8). Suppose -h - 3 = -a. What is the tens digit of (0 - h) + (21 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19012.2 rounded to the nearest 10?\nAnswer: -19010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n - 6*n + 10 + n - 15. Is l(-10) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -8*j**3 + j**2 + 4*j - 13. Let q(z) = 6*z**3 - 3*z + 12. What is 4*p(o) + 5*q(o)?\nAnswer: -2*o**3 + 4*o**2 + o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 7:47 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -74 (c) -3 (d) -2 (e) -0.4 (f) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 7:36 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 81 (c) 0.21 (d) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2351 or 610?\nAnswer: 610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 0. Suppose 2 = -p*n + 5*n. Let l be (6 - n)*(-2)\/(-5). Which is greater: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839453282 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -33.5502 and 9.\nAnswer: -24.5502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 799*u + 70487. Calculate h(268).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0498 + 0.9502. Put -0.5, u, 2\/17, 27, 0.4 in decreasing order.\nAnswer: 27, u, 0.4, 2\/17, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.08 - 6.92. Let t = a + 11. Sort 2\/5, -0.1, 2, t in increasing order.\nAnswer: -0.1, 2\/5, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -259.6 - -259.8. Let a = -0.2 - -0.1. What is the nearest to j in a, 2, -0.5, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 2*t - 39*t**2 + 77*t**2 + 193*t**2 + 149*t**2 in the form u*t**2 + l + r*t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/((-8)\/2) - -1. Suppose x*r - r = 114. What is the remainder when 94 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 40 = -8*l + 148 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 10:23 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28953077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 834635.6ug in grams?\nAnswer: 0.8346356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*f - 36*f - 57*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3179*n - 120 + 20 + 47 + 53 to the form f*n + j and give f.\nAnswer: -3179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -13*u**3 - 9*u**2 + 9*u + 9. Suppose 4 = 13*q - 17*q. Let x be q\/(-3) - 700\/75. Let w(a) = -6*a**3 - 4*a**2 + 4*a + 4. Calculate x*w(d) + 4*b(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 5, -36, -3, -4 in ascending order.\nAnswer: -36, -4, -3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27395 + 25312. Is -2087 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*f = -45, u + 4*f - 16 = -6. Let g = u + 10. Solve 2*v - 4*v - 4 = g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11975295?\nAnswer: 3, 5, 23, 103, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 - 11. Let t = 393 + -471. Let j = t + y. Let m(h) = -h**2 + 3*h + 5. Calculate m(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + d - 1. Let h = 20 - 34. Let o be 3 - 7\/(h\/4). Let v = -7 + o. Let c(l) = l**3 - 7*l**2 + 7*l - 8. Calculate v*c(f) + 14*u(f).\nAnswer: -2*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 19 = 15. Is (-2540)\/(-18) - u\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n + 10 = 0. Let c(j) = 4*j - 9. Let m(z) = 2*z - z - 2 + 0 + 0. Let o be 6 - 7 - 13 - (0 + -5). Determine n*c(t) + o*m(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9, -4, -27, -66, -127, -216?\n\"Answer: -y**3 + y**2 - 9*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, v: 1, s: 1, m: 1, u: 12}. Give prob of sequence uvm.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -69165584 rounded to the nearest 100000?\nAnswer: -69200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4139 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**2 - 251301*k - 502614 = 0.\nAnswer: -2, 83769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12.4*-31\nAnswer: 384.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 - 0.2. Let l = -11 - -11.4. What is the smallest value in t, 6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -61971*s - 557578. What is p(-9)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 487 in -2\/21, 0.3, -0.1, 0.2, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 6*p**2 - 6*p - 10. What is i(8)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 27 - -69 - (-2 - -57)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**2 + 509*c - 85.\nAnswer: (c + 85)*(6*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 205515*p**2 + 315*p. Let y(i) = -1309*i**2 - 2*i. Determine 2*w(x) + 315*y(x).\nAnswer: -1305*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/3 + 16*l**2\/3 + 8*l - 96.\nAnswer: -2*(l - 6)**2*(l + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from fffiyzy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -24*l - 61. Give k(-8).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-18) + (-148)\/18. Let b = -5 - o. Solve -b*l - 25 = 2*f, 35 = f - 5*f - 3*l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30482118 and 136458?\nAnswer: 6498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 9:08 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**3\/2 - 2495*o**2\/8 + 107*o\/4 + 156 = 0.\nAnswer: -208, -2\/3, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 49, -65, -385, -1013, -2051, -3601, -5765, -8645?\n\"Answer: -17*z**3 - z**2 + 8*z + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*p + 2, -5*t - 31 + 3 = -4*p. Let c be (78\/(-9) - 0)\/(t\/(-2340)). What is c rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -2\/7, -210.3, 3, 2\/9, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 12587.6?\nAnswer: 37762.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20 - 108\/(-24)*(-8)\/12. Solve -p*g + 136 = -0*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 45*r**2 + 3*r + 1. Let v be u(-2). Suppose -5*w + v = 5*b, -14 + 195 = 5*w - b. Calculate the highest common factor of w and 216.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 5*i + 8. Let d be m(-6). Suppose 0 = -46*q + d*q - 80. What is the least common multiple of ((-3)\/4)\/(2\/(-128)) and q?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2.9. What is the third biggest value in b, -2\/21, 0?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:48 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112.4 + 60.6. Let c = 170 - x. What is the third smallest value in 0, c, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3687 is divided by 735.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/1017 and -44\/1017?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1860118 is divided by 310.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -1627, -3, -206, -4\/7.\nAnswer: -1627, -206, -3, -4\/7, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3437794 is divided by 381977.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 597415335?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3568654 to the power of 1\/2, to the nearest integer?\nAnswer: 1889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*n - 8. Solve 7 - 5 - q**n + q + 2*q = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 353, -96, -875, -2008, -3519, -5432?\nAnswer: -7771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(3*t + 2*t - 3*t) + 2 - 2 - t + 601 - 292*t - 124*t - 601.\nAnswer: -413*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -8. Let x = -59 - -59. Which is the nearest to x? (a) g (b) 1\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494786280 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2539, -2082, -1651, -1258, -915?\n\"Answer: -2*o**3 - o**2 + 474*o - 3010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 151*x + 305. Let a be z(-2). Solve a*r = -2*c - 9, 0*r + 4*r + 2*c + 10 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*d + 41*d = 2*y + 5, -d + 20 = 3*y. What is the greatest common divisor of y and 755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 0*i + 8 - 13*i**2 - 1 - i.\nAnswer: -13*i**2 - i + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 9 = 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/(q*q\/(q**(-10)*q)))\/q)**39\/((q\/q**(1\/34))\/q**(1\/41)))**8 assuming q is positive.\nAnswer: q**(-2179916\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-6))\/((5\/1959)\/(-5)). Let y = -1265 + h. Let m = -314 - y. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -368902 and 0.1?\nAnswer: 368902.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27528.91 microseconds to seconds.\nAnswer: 0.02752891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 6\/5, -13, 647, 6 in ascending order.\nAnswer: -13, -0.2, 6\/5, 6, 647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x - 3*x + 5*x)*(2*x - x + 0*x) + (0 + 0 + 1)*(-152 + 23*x**2 + 152) - 1 + 1 + x**2 in the form o*x + c + h*x**2 and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1887 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1860 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 divided by -51647?\nAnswer: -196\/51647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 22, 4.\nAnswer: 1, 3, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -114, 88, 290?\n\"Answer: 202*p - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66133860?\nAnswer: 2, 3, 5, 13, 84787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + a**3)*(a + a + a) + (2 - a**2 - 2)*(-9 + 11 - 8)*(4*a**2 + a**2 - 3*a**2).\nAnswer: 15*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 1 - 3*c + 0*c - c**2. Let m = -21 - -18. Let i be p(m). Solve -6 = i*f - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 3:22 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -37*v - 105. Let f be t(-3). Suppose -2*r = 3*i - 68, -f*i - 5*r = -7*i. What is the remainder when 537\/7 - (-2)\/7 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.22 + 0.93. Let j = y + 0.28999949. What is j rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jepjppjeeafvapepaavv. Give prob of sequence fj.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3620000 to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -62. What is the smallest value in i, -3, 1, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -4d?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a gram in milligrams?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 7 - 21) + 23 - 36?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d - 5. Calculate the remainder when 7 is divided by m(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 6:32 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2831367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 41*p**2 - 710*p - 6564. What is i(-9)?\nAnswer: 3147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-145)\/(-73) + -2)\/((-143)\/(-52) + 198\/(-88))?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289198 is divided by 94292.\nAnswer: 6322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 30*m - 224. Determine a(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + -0.4. Let y = 0 + x. Suppose 7*d - 19 = -40. Sort y, -1\/2, d.\nAnswer: d, y, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + 0.8. What is the nearest to n in -1\/7, 3, -0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 225.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.87 + 0.99. What is the third smallest value in 0.8, g, -1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2. Let w be 4\/10 - 162\/(-45). Let y(f) = 3*f - w*f + 0*f. What is l(y(j))?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -0.3, -1, 2\/529, 4\/7?\nAnswer: 2\/529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*r + 364 = -3*r - 10*r. Let p(v) be the third derivative of v**4\/24 - v**3\/3 + 10*v**2. Give p(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + sqrt(17))**2 + 1).\nAnswer: -114 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5 - 4*z**4 + 4*z**2 + 2*z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141971?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + (-9 - -7))\/(-7 - 1287\/(-183)). Suppose -v - 2 = v + 3*o, 2 = -2*v + o. What is the third smallest value in p, -3, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9985.9159019701 + -1.\nAnswer: -9986.9159019701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8337 + -0.8837. Which is the nearest to -1\/4? (a) -0.1 (b) i (c) -1\/25 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 5, -48.179, -3, -0.6, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2074575?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 43*d + 63. Let t be 63\/(-14)*(-16)\/12. What are the prime factors of r(t)?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + 11. Suppose c = 3*a - 12. Calculate the remainder when 88 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8294 = 20*p - 4486. What is the remainder when p is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 65645 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*sqrt(275))**2 + sqrt(275).\nAnswer: 5*sqrt(11) + 2471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*g - 169 + 16*g + 169)*(-9*g + 9*g - 7*g + (-2 + 6 - 2)*(-2*g + 0*g + g)).\nAnswer: -387*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*u**2 - 187*u**2 - 53*u**2 - 4.\nAnswer: -314*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, j: 6, q: 4}. Give prob of sequence qjj.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-12))\/(1279\/6). Let z = 7736\/39649 - o. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2076\/(-18)*((-774)\/4 + -6 + 12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.42 + 12. Let o = f + 0.02. Suppose 6 = -3*p - 6. Sort p, -2, o.\nAnswer: p, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -914*v - 478. Let b(p) = 915*p + 482. Let k(m) = 7*b(m) + 6*d(m). Differentiate k(f) wrt f.\nAnswer: 921","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1629687592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*a**3 + 14*a - 2*a**2 + 0*a**2 + 8*a - 21*a as v*a + l*a**3 + k + j*a**2 and give l.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 11. Suppose -5*h = -4*i - 179, -3*i - 148 + 5 = -a*h. Calculate the highest common factor of h and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 7*z + 12. Let w be i(5). Let k = w + 1. Solve 2*p - 3*a + 10 = -4*a, -3*p + k*a = 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 724 + 268*n**5 - 724 + (4*n**2 + n**2 - 6*n**2)*(-n**3 + 0*n**3 + 3*n**3) - n**5 + 2*n**5 + 10*n**5.\nAnswer: 277*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5277129*x + 10554396*x - 5277266*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 154, 386, 710, 1126?\nAnswer: 1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1\/(4\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 84.7 and 6767.\nAnswer: 6851.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = -0. Let a(s) = -22*s**2 - s. Let x be a(1). Let k be 2 + x\/5 - o. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.53681 to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 - -42. Let x be (-1 + 5)*(2 + 3\/c). Suppose x*y - 454 + 160 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(5\/4)))\/v)\/v**(-1\/4))\/(v**(1\/7)\/(v*v**0*v))*(v*v**(1\/3))**22*v**(-2\/3)*v\/(v\/(v**(2\/9)*v)*v) assuming v is positive.\nAnswer: v**(1811\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(44)\/sqrt(44)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2580 and (-266)\/8 + (4 + -24)\/(-2).\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30001152 divided by -30001152.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 1:40 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*753680\nAnswer: 753680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(14\/(-6)) + 1*-9. Let b = 5 + m. Let a be (-3 - b) + 2 - 1*-2. Solve 5*s - 3*g = a, 2*s - 2*g + 0*g = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, 2, -5, 320, 71.46?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5626974, -5626998, -5627022, -5627046?\nAnswer: -5627070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 38411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 8) + -14 - -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.064 - 0.206. What is z rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 17*i**3 - 5*i**2 + 11*i + 5. Let h(s) = -6*s**3 + 2*s**2 - 4*s - 2. Calculate -11*h(v) - 4*u(v).\nAnswer: -2*v**3 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -167 + 211. What is the highest common divisor of 187 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((5*1*sqrt(156))\/(sqrt(12) - sqrt(1728)*1) - (-3 + -5 + (sqrt(78) + 1*sqrt(78) + sqrt(78) + sqrt(78) + sqrt(78))\/sqrt(6))))**2.\nAnswer: -840*sqrt(13)\/11 + 52729\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -769752018 and 16.\nAnswer: -769752002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*g, -683*c - 2*g + 7 = -680*c. Suppose 3*v - 32 = -v. Suppose -v*h = -c*h - 15, -3*h + 704 = 5*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1107*b**3 - 25249*b + 137237153?\nAnswer: 3321*b**2 - 25249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 + 106*i + 39. Let k be u(-35). Suppose 2772 + 52592 = k*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 13728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxrb when four letters picked without replacement from {r: 2, j: 1, q: 1, p: 1, b: 2, x: 2}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 500 = -0*x. What is the common denominator of (-890)\/8*10\/x and 0 - 2\/(40\/(-111))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-228652)\/(-48)*(1 + -2). Let x = v + 4772. Calculate the common denominator of x and -29\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.428 - 0.572. Is s < 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:53 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90090\/(-70))\/143*1\/(-60).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3827238 + 538034 - 75161 = -15*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*y + 3)*(1 - 1 - 84*y - 210*y).\nAnswer: 588*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/2)*v)**(-6)\/(v**(2\/23)*v**15) assuming v is positive.\nAnswer: v**(-692\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 80694331 to the power of 1\/3, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*w - 34. Let t = -22 + w. Suppose 3*u = t*u + 43000000. What is u rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*b + 5*f + 496 = 0, -104422*b + 104420*b = -5*f - 52 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17 - 13*n + 21 - 33 wrt n?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00020853066 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -247870.\nAnswer: 33\/247870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-20))\/((-22)\/(-1650))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 2*m - 156, -2 = 4*m - 3*m. Calculate the greatest common factor of y and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -7*b**3 + 3*b**2 + 10*b**3 - 12 - 12*b + 3*b**2 - 3*b**2 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68125 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -30073*a. Let p(t) = -7*t. Determine 4148*p(f) - u(f).\nAnswer: 1037*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 384443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3506*a + 280 = 5*f - 3501*a, -2*a + 584 = 10*f for f.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - (((sqrt(405) - (sqrt(405) - (sqrt(405) + sqrt(405)*1))) + sqrt(405))\/sqrt(9) + sqrt(45)))\/(sqrt(9) - 2*sqrt(324)))**2*-4.\nAnswer: -180\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/9*(-6)\/(-4)*0. Sort x, 38, 5 in increasing order.\nAnswer: x, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/31 (b) -10 (c) 6\/47 (d) -0.9 (e) 0.5 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 438525217 a multiple of 697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y**2 + y**2 + y**2)*(2*y**2 - 3*y**2 + 2*y**2) + 90*y**2 - 177*y**2 + 105*y**4 + 89*y**2 to u*y + n + o*y**3 + a*y**2 + q*y**4 and give q.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 144*h**2 - 783*h + 336. What is q(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0.33 (b) -2\/7 (c) 3 (d) -413\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -1)*-4.\nAnswer: -44*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 646436.\nAnswer: 1939308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 6*n + 10. Let b be p(4). Let c(j) = -j - 1. Let x(i) = i. Let o(q) = -6*q - 3. Let r(z) = -o(z) - 3*x(z). Determine b*r(f) + 4*c(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**11*l\/(l**3\/l))**(-4\/17) assuming l is positive.\nAnswer: l**(-40\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = 5*g - 163, -2*h = g - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**3 - 223*j**2 + 62*j + 420. Determine y(-56).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-2)*(-1653)\/2755\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112002221201021 (base 3) to base 15.\nAnswer: 9d1aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39378570 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 37 (b) -2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 22 - 16)*(0 - 4 + 5)*(6*i - i + 4*i) to z + x*i and give x.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 6:29 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -778 = -r - 776. Suppose 0 = 2*t - 6*l + 5*l - 14, r*l = -t + 2. Solve -t = 2*z - 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + -1 + sqrt(2))*-3.\nAnswer: -18 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108158 is divided by 103?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-2)*(-21)\/(-4). Let x(z) = -4*z**2 + 18*z + 6. Let u be x(5). Calculate the common denominator of 14\/j*59\/u and 39\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 96 = -t. Find the second derivative of t*y**3 + 14*y**4 - 45*y**4 + 12*y - 32*y**3 wrt y.\nAnswer: -372*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*g**3 + 368*g**3 + 404*g**3.\nAnswer: 627*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000159394 to seven dps.\nAnswer: 0.0000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 6, -4*y + 87 + 236 = 3*u. Calculate the highest common factor of u and 1365.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*f - 3*k, -5*f + 31 = -2*f - 2*k. Suppose 2 = f*w + 156. Are -22 and w nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5128 - 5132.495. What is m rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/9 - 10\/(-45). Suppose -j*v = -o + 8423, 0 = -2*o - 8. Let s = v + 4036. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14205, 14110, 14021, 13938, 13861, 13790?\nAnswer: 13725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 83968?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 n, and 1 y when three letters picked without replacement from {n: 2, y: 1, d: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2. Let j(u) = 22 - 125*u - 49 + 2*u - 11*u + 28. Determine z(j(n)).\nAnswer: 17956*n**2 - 268*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32599 and -2718?\nAnswer: -88604082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-23 + -1)*217\/(-1736). Let f(m) = 16*m**2 + 10*m + 6. Let a(l) = -2*l + 3*l - 4*l - 5*l**2 - 2. Give i*f(w) + 10*a(w).\nAnswer: -2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 2615 - 2621. Sort -1, 14, i, -3 in decreasing order.\nAnswer: 14, -1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*l = 47*l - 4*j + 22, 5*j = -4*l + 66. Solve 2*r - 4*b - l = 0, -13 = -r + 3*b + b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8923?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 4*j**2 + 4. Is q(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20208126 and 27.\nAnswer: 181873134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-10)*(-7)\/28. Which is the nearest to 7? (a) 0.4 (b) 0 (c) 5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*s*w*y**3 - 4*s*w*y**2 + 2*s*y**2 + 33*s + 75*w*y**3 + 9*w*y**2 - w + 46*y**3 wrt y.\nAnswer: -24*s*w + 450*w + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*p**2 + 186*p**2 + 12*p**2 + 16*p**2 + 76*p**2.\nAnswer: 208*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - k - 1. Suppose -29 = -2*t + 3*g, -t - 2 = -0*t + 4*g. Suppose 26*y = 31*y + t. Let z(x) = -4*x**2 - 2*x - 2. Calculate y*i(n) + z(n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3007.997312 - 3008. Round b to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/(-3) + 13740\/120. Let g be (48\/(-120))\/((-1)\/i). Which is bigger: g or 189\/4?\nAnswer: 189\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 6:29 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-105))\/((-3)\/9).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402103*y = 402086*y - 102 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - (-285)\/2)*2 is divided by 11\/(33\/(-28))*(912\/133)\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -20*u**2 - 25*u + 25. Let g(w) = 2*w**2 - 16*w - 2. Let p(s) = -s**2 + 7*s + 1. Let j(l) = -4*g(l) - 9*p(l). Give 25*j(d) + z(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1271856 = 3*n, 16*g = -5*n + 14*g + 2119787. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 12.\nAnswer: -8, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/5 - 2649024*l\/5.\nAnswer: 4*l*(l - 662256)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1667194, 6668724, 15004608, 26674846, 41679438, 60018384, 81691684?\n\"Answer: 1667177*h**2 - h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 9*a**2 - 11*a - 8. What is z(-7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/18766 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyyx when four letters picked without replacement from {u: 2, x: 5, y: 5}.\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 11*n**2 - 16*n + 57. Give u(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -12*i**2 - 160*i - 1600\/3 = 0.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i - 3*i - 12 = 22*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -16*z**3 - 6*z**2 + z - 188. Let k(b) = 36*b**3 + 16*b**2 - 3*b + 378. Calculate 5*c(w) + 2*k(w).\nAnswer: -8*w**3 + 2*w**2 - w - 184","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48771319*j**2 - 82203958 wrt j?\nAnswer: 97542638*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 25*d**2 + d + 24. Let a be i(-25). Let u be a + -4 + 13 + -1. Suppose 24 = t - u*t. Let c(j) = 2*j + 4. Determine c(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1008*i + 38280. What is q(38)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273990 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (209\/3)\/((-65)\/3). Let u = -34\/13 - g. Let v = -0.7 + 0.2. Which is the biggest value? (a) -2\/19 (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-3))\/((-2)\/6). Let s = -27 + 30. Let y(m) = -5*m**2 + 2 - 6 + 3 + 8*m**3 - 9*m**s. Give y(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141988 - 141442.504. Let t = b + -545. Round t to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000072333 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b**3*n*u**2 + 3*b**3*n*u - 16*b**3*u - 235*b**2*n*s*u**2 + 2*b**2*u + 7*b*n*s wrt u.\nAnswer: -10*b**3*n - 470*b**2*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/62957039 or -1?\nAnswer: 4\/62957039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 804*j - 815*j - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482638 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.7. Let i be (-16352)\/2920*2\/8. Which is the nearest to i? (a) 1\/6 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 3*r + 18 + (3 - 2 - 2)*(-3*r + r + 4*r) - r + r - r to p*r + n and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 10 = 4. Let q be (5\/(-2) + m)*6. Let v(p) = p**2 + 4*p - 55. Let s be v(-10). Solve -s*k = -4*a - 4 + 2, 2*k = q*a - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179.733 - -170.69. Let k = 0.043 + r. Let z = k + 8.999993. Round z to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*x - 17 - 40*x - 9.\nAnswer: 5*x - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 237 or 236?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8836165*v**4 - 108867*v**2 - v wrt v.\nAnswer: -212067960*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40914?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*x + 225 = 569*x - 307*x - 1105 for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0376 greater than or equal to 0.004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2289332?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 5. Let o be l(8). Suppose -28 = -5*b - o. Suppose -b*p + 3 = -2*x, 2*p = -p - 4*x - 19. Is p less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4990.83 and -10213899.\nAnswer: -10218889.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**6\/120 - 7*z**5\/30 + z**4\/24 - 23*z**3\/6 + 5*z**2 - 7. Determine v(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 4\/5*b + 0 + 12\/5*b**2.\nAnswer: -b*(b - 2)*(5*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*(-32)\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5322, -10642, -15964, -21288, -26614, -31942, -37272?\n\"Answer: -x**2 - 5317*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4304, -8682, -13060?\n\"Answer: -4378*m + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/322342 or -1\/3?\nAnswer: -3\/322342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 4*i - 3, 4*u + i - 39 = 0. Let j = 0 + u. What is the least common multiple of 6 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) -0.3 (c) 0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4035, -0.17, 4, -7, -1?\nAnswer: 0.4035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2723*c + 17. Let b(n) = 2729*n + 19. Let u(s) = -7*b(s) + 8*x(s). Let p(l) = 2*l**2. Calculate u(p(i)).\nAnswer: 5362*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 7*h + 195 = 0. Let y(m) = m**3 + 14*m**2 - 15*m + 2. Determine y(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1274 and 26663.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -390*i**2*o**3 + 105*i**2*o - 59*i**2 + 39*i*o**3 + i*o wrt o.\nAnswer: -2340*i**2*o + 234*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -909.8 - -910. What is the closest to 1\/2 in -0.27, d, -1\/2, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245315097 is divided by 8089?\nAnswer: 8083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n = 12. Suppose 4*v - 3*f - 31 = 0, 5*f = -5*v - 1 - 4. Suppose -v*i + 18 + 2 = -4*g, -10 = -5*i. Is n at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 7 + -24 + 13\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 1:56 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 155 = -4*i, 0*d = 5*i + 4*d - 187. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i - 24. Let d(f) = 16*f - 143. Let o(m) = -2*d(m) + 11*u(m). What is o(-26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 17*x**3 - 9*x**2 + 10*x - 3. Let u be g(8). Let z be (-6)\/(-21) - u\/(-21). Let l = z - 91. Round l to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 34\/5 of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*n + 199*n + 0 + 0.\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 350649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 84. Suppose -27*o + 24*o + p = 0. What is the remainder when o is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 + -336\/5. What is the third biggest value in 2, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 10:05 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -9. Suppose -p*g + 5 = z, -1 = z + 2. Is 0.2 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 709, 1598, 2797, 4270?\nAnswer: 5981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 983\/8 - 123. Suppose 3*h = 6*h + 3. What is the closest to 0 in s, -4, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-3)*9642\/2)\/((-339)\/(-678)). Is m greater than 3214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -336*p**5 - 9489*p**4 - 8*p**3 + 603223382*p**2 wrt p?\nAnswer: -20160*p**2 - 227736*p - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16665339*z**2 - 13640210?\nAnswer: -33330678*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t + t)*(28*t**3 - 91*t**3 + 31*t**3) + (-4*t**2 + t**4 + 4*t**2)*(3 - 4 - 1).\nAnswer: -34*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.577 - -4.477. Which is the fifth smallest value? (a) k (b) -0.06 (c) -9 (d) -1\/4 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-35))\/(5\/(-7)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**3 + 74*u**2 + 2*u**3 + 81*u**2 - 154*u**2.\nAnswer: 9*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from nqwowgwqwwq.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16925430 to the power of 1\/2, to the nearest integer?\nAnswer: 4114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c + 208 = 15*c - 56*c + 8*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 218\/811?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-5))\/(10\/25). Is -3 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + 37. Is 49 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4910148161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285 - -10.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(0 + 2 - 1)*(-2 + 2 + 4)*(0 + 0 - 2*t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 938 - 908 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 52, -0.68, -14, -18, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6880010933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -825 + 2528\/3. Find the common denominator of (-156)\/48*28\/34 and x.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/(-30) + 9)\/1*25?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/10118 and 76\/3.\nAnswer: 30354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/5 + 311*t**2\/5 - 188*t + 628\/5.\nAnswer: (t - 2)*(t - 1)*(t + 314)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**3\/3 - 3*p - 12. Suppose -3*h + 11 - 2 = -2*c, 0 = 4*h + 4*c - 12. What are the prime factors of i(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8 = 2*r, r = -3*r + 4*a - 20. Let v = r + 2. Let d = v - -8. Solve -2*u = d*u + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 17*n = 42. Suppose -n*l = -5*l - 4. Let p(x) = -13*x + 12*x - l - 3. Let j(y) = y. Give p(j(g)).\nAnswer: -g - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.092 + 24\nAnswer: 24.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -11*i - 39. Let x be a(-4). Suppose 91485 = x*r - 129515. What is r rounded to the nearest 1000?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 6:48 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -25*m + 17*m. Let r = -119\/3 + m. Put -2\/13, -1\/6, r in ascending order.\nAnswer: r, -1\/6, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-1) - -1)*3. Suppose -c*y - 3 = 45. Let l be ((-6)\/y)\/((-52)\/16 + 3). Is -3 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11863230.300018 + 11863134.3. Let v = -6.49 - 89.51. Let p = v - k. What is p rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38684956 + -58698956. What is k rounded to the nearest one hundred thousand?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -64011420?\nAnswer: -64011423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8663 * -10.31\nAnswer: -89315.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2. Let b = -10 - -6. What is the closest to j in 3, 5, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4441, -17781, -39983, -71023, -110877?\n\"Answer: 4*t**3 - 4455*t**2 - 3*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, y: 1, i: 5, s: 1}. What is prob of sequence aay?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 10 + 0)*(5 - 4 + 3)*(5 - a**3 - 5) in the form z*a**3 + d*a + r*a**2 + q and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8452434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/18*(-384)\/(-256)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(351) + sqrt(39)) + sqrt(39))\/(sqrt(24)\/(sqrt(24)\/sqrt(3))).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-35) + (-4)\/20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6*o = -5*n - 73, 3*n + 101 = -5*o. Let k = 36 + o. Let g = 25 - k. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**4\/4 + 4*g**3\/3 - g**2\/2 - 4*g - 6. Give t(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 - 5*g**2 + 5. Let x(o) = 2*o**3 + 8*o**2 - 8. Let m(l) = -l**3. Let d(a) = 6*m(a) - 2*x(a). Calculate 5*d(t) - 16*f(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -94163.4654 to the nearest 1000.\nAnswer: -94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -176*o - 504. Let m(h) = 3*h + 9. Let k(n) = -112*m(n) - 2*r(n). Let y(d) = 386*d**2. Give y(k(s)).\nAnswer: 98816*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Let h be (-2)\/(-2) + (-1)\/(-1). Let j(r) = 1 - r - h + 2*r**2 - r. Give j(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 6*m**2 + 7*m + 7. Give d(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 781 - 780.997344. What is p rounded to 4 decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*j + 3*c - 6, 5*c = -5*j. Let 7*b**2 + 2*b + 28*b**3 - 10*b - 27*b**j = 0. Calculate b.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 276 + 42?\nAnswer: 2b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*z = 13, z - 30 + 27 = 5*n. What is the closest to n in 0.5, 1\/7, -1\/4, 1202\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*q**3 - 122*q**3 - 87*q**3.\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*h + 0 + 0 + 72*h.\nAnswer: 191*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 145*w + 3131. What is a(118)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1004*d - 31523 + 7001 = 8610 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 + 204556?\nAnswer: 204512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 86047 less than or equal to -16122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - sqrt(120)\/(sqrt(4) - (sqrt(196) - sqrt(4))) - sqrt(30))\/sqrt(10).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1511.8 and 4?\nAnswer: -6047.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h**2 + 5*h**2 - 60*h**2)*(-h - 2*h + h)*((-6 + 4 - 2)*(1 + 0 - 3) - 4 + 3 + 3) to r*h**3 + v + m*h**2 + s*h and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + t + 1. Let w be u(-1). Find the first derivative of 1 + 29*n**3 - 12 - 7*n**3 - w wrt n.\nAnswer: 66*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/7 - 1614*f**2\/7 + 92780*f\/7 - 25584 = 0. What is f?\nAnswer: -861, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -81. What is the remainder when b is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 620 - 68?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*y = -2*y + 1747 - 1765, -94 = 13*p + 3*y for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 1033022023?\nAnswer: -1033022030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a - 109. Let i be c(-24). Let p(u) = -30*u - 135. Does 10 divide p(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.99 - 0.01. Let s = y - -1.6. Let q be (0 + 18)*(-33)\/99 + 5. Which is the closest to q? (a) 0.2 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3919 - 3918.9739. Round n to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - 6b81208?\nAnswer: -6b8121b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 14. Let u be o(11). Suppose u*r - 16 = 14. Calculate the remainder when 38 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.038 + -0.038. Let l = 10 - k. Let z = -10 - l. Is 1\/3 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350)*-4*6 - sqrt(350))\/((sqrt(2) - sqrt(8)\/sqrt(4)*-2) + (sqrt(2) - -2*sqrt(2)*6)))**2.\nAnswer: 109375\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 12*t - 37. Let f be w(15). Let o(b) = -b**2 + 14*b + 2. List the prime factors of o(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -5, 2, -9, 1\/10, 87?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -638801 or -638835?\nAnswer: -638801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70903 and 241649.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 0\/(-1))*(-2 - 149). Suppose f + p = h, 5*h + 3*f - 368 - 355 = 0. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5551080 by -668.\nAnswer: 8310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2288124 to the nearest 10000.\nAnswer: 2290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/3 and -85\/1372?\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 125*v. Let g(n) = -824*n. Calculate x(g(u)).\nAnswer: -103000*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 167 * 30.054\nAnswer: 5019.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 90\/12*22\/3. Suppose 4*p - 3*p = -4*n + 42, 5*p + 5*n = 135. What is the greatest common factor of p and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2347653320.\nAnswer: 2, 5, 61, 15773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.23 + -0.23. What is the second smallest value in h, 0.2, -34?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9070.207ml?\nAnswer: 9.070207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -239.07 - 0.3.\nAnswer: -239.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -17. Suppose 3*m - i = -2*m. Suppose 0 = 2*u - 2*b - 40, -u + m*b = -0*b - 18. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u**3 + 4*u - 4. Let n(c) = -6*c**3 + 3*c - 3. What is 4*n(i) - 3*s(i)?\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -665520, -665513, -665506, -665499, -665492?\n\"Answer: 7*s - 665527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**4 - 3*u**4 - 2*u**4)*(2*u + 4 - 4) - 144*u**2 + 6*u**5 + 2*u**5 - 7*u**5.\nAnswer: -u**5 - 144*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1504 + 1375.4. Let l = g - -129. Let x = -45 + 181\/4. What is the closest to x in -6\/7, l, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.44751501 to 4 dps.\nAnswer: 3.4475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -14*a - 39. Let g(q) = 40*q + 117. Determine -6*g(d) - 17*t(d).\nAnswer: -2*d - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 761035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -119 >= 3\/398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 346239947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818 (base 12) to base 14.\nAnswer: 5da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0 - 2 + 0 + 4 + 5 - 1 - 2 + (0 + 1 + 0)*(-4 + 1 + 1) - 1 + 3 + 0 - 3 + 3 + 1)*(r**2 + 2*r**2 - 5*r**2)*(-3*r**2 + 2*r**2 - r**2).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5\/3 - 7796*n**4\/3 + 7455698*n**3\/3 + 275555144*n**2\/3 + 2963403520*n\/3 + 7923894272\/3 = 0.\nAnswer: -16, -4, 1967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(342\/(-9) - -16)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -244*f**2 + 9303*f - 183. Give m(38).\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*n = -300*n - 7208 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2*g - 34 = 0, 40 - 72 = 3*c + 2*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 0*q**4 + 0*q**6 + 0*q - 1\/105*q**7 + 0*q**5 - q**2 + 1\/3*q**3 + 0. What is the first derivative of j(n) wrt n?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14568069.\nAnswer: 3, 4856023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 + (-2 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) -2\/7 (c) -2010 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67 and -0.05.\nAnswer: -3.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 23, -5, 0, 14 in ascending order.\nAnswer: -5, 0, 3, 14, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139547690?\nAnswer: 2, 5, 13954769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-104))\/(21\/(-24))*(-42)\/(-30)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.4, 13, -1\/7, 2\/11, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2448) - sqrt(2448)*-2) + 5.\nAnswer: 6 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t. Let k(u) = 27977 - 27977 + 87*u**2. Give k(w(d)).\nAnswer: 4263*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23438 is divided by 378.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 5*h + 3539 - 3492 = 0, 4*h = 3*m - 43 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/4)\/((-13)\/(11752\/(-304))). Is a smaller than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68944\/2955 + 2\/985. Let u be (-2122)\/(-8) + (0 - 2). Let q = 267 - u. Calculate the common denominator of d and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*f - 466*f = -159*f - 160*f + 900 for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 818 = 823, 2*u = x - 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + t - 12. Let n(b) = b**2 - 1. Let z(q) = -5*n(q) + o(q). Let c(v) = -v**2 - 1. Give 5*c(a) - z(a).\nAnswer: a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a hour in minutes?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + o = 4*o - 17, 9 = 3*o. Solve -s = -4*d + 3, -4*s + n*d + 6 + 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 5*z = 2665451 - 2665259, -2*z = 21*x - 135 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n. Let z(p) = -p**2 - 13*p - 24. Let j be z(-10). Let t(l) = -j*l**2 - 16*l**2 + 2 + 10*l**2 - 4*l**2. Give g(t(u)).\nAnswer: -32*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 488628.\nAnswer: 1465884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 5 (c) 17016250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/5, -1\/2, 1.5, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 69, 81, 93?\n\"Answer: 12*y + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 + -42. Suppose 48 = 31*u - l*u. Let a be 1*u\/4 + 4. Sort a, 4, -1, -3.\nAnswer: -3, -1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 2\/11 (c) -21 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 79 + 77 = 0. Let v be 2 - (9 - -5)*(c + -2). What is the derivative of 12*q - 33 - 4*q + v*q wrt q?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 59355?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 - 1. Let c(b) = -6*b**2 + 18*b + 24. Let t(z) = c(z) - 3*n(z). Let t(k) = 0. Calculate k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486 - 5*a**3 - 1119 + 0*a**3 + 633.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 473*h**2 - 9 - 77 + 477*h**2.\nAnswer: 4*h**2 - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 692027.8 millilitres to litres.\nAnswer: 692.0278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244, 490, 736, 982, 1228, 1474?\nAnswer: 1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 60498.92 hours?\nAnswer: 217796112000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/14193 and 62\/3.\nAnswer: 14193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.1 (c) 1 (d) 22\/7 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/15)\/o*o)\/o*o)\/o*(o\/o**(-13))\/o assuming o is positive.\nAnswer: o**(178\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 159, 46.\nAnswer: 0, 46, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 12 + (-10 - (-2 - -8)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 + 51*c**2 + 25*c + 14. Calculate s(-25).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21133081297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**6\/480 + y**5\/48 - y**4\/96 - 5*y**3\/24 - 6*y**2 - 15. Let z(o) be the second derivative of m(o). Factor z(f).\nAnswer: (f - 1)*(f + 1)*(f + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212910541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*p + 83952 + 6480 = 727*p for p.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4383.32548271 - -4199.3254839. Let m = 184 + l. Round m to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217 + 67 - 84 + 3*n**3.\nAnswer: 3*n**3 - 234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15550 (base 9) to base 15.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**5\/120 - z**4\/24 + z**3\/2 + 7*z**2. Let s(g) be the first derivative of u(g). Let k be s(-1). Solve k = -2*r - 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**5 - 86069*q**4 - 14*q**3 + 4833544*q wrt q.\nAnswer: -40*q**3 - 1032828*q**2 - 84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h**(-4\/7)\/h)*h*(h\/((h\/(h\/h**(-7)))\/h))\/h*h**7\/(h**(2\/13)\/h))\/(h**(-4)*h\/(h\/h**(2\/9))*h**(-3)\/h**5) assuming h is positive.\nAnswer: h**(25549\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -3191 (c) -491\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934350 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 602*v**3 + 4*v**2 + 182*v + 892. Let f(m) = -201*m**3 - m**2 - 52*m - 297. Let r(u) = 6*a(u) + 21*f(u). Find the first derivative of r(w) wrt w.\nAnswer: -1827*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.01505266, 4.\nAnswer: -0.1, -0.01505266, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2))**(-4\/37))**(9\/5) assuming p is positive.\nAnswer: p**(18\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 205*m - 1250. Let k be g(19). Calculate the highest common factor of k and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -4.99291.\nAnswer: -0.99291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c + 4214570 - 4214579 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 3:04 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/34907 or 1\/118?\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -3*o - 4*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, n: 2, v: 2, w: 1}. Give prob of sequence vhw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19, 46, 105, 208, 367, 594, 901, 1300?\n\"Answer: 2*v**3 + 4*v**2 + v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -19*k**3 + 13*k**2 - 241. Is q(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 - 1.1. Let z = -0.7 - w. What is the third biggest value in 0.5, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1229789 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/3 + 8*b + 2\/3*b**3 - 4*b**2.\nAnswer: 2*(b - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 9:37 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/c**(6\/11)*c*c\/(c**(-2\/11)*c) assuming c is positive.\nAnswer: c**(29\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 + 6*t - 6*t + 10.\nAnswer: 8*t**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-232)\/320 - (-18)\/30\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 22?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1403 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -27*t + 1. Let j be f(11). Let k = j - -499. Calculate the highest common divisor of k and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3063*d**4 + 7*d**2 + d + 7 - 4 + 3062*d**4 as q*d**2 + s*d**3 + h + g*d + w*d**4 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 35*k**2 - 2002*k + 137. What is t(57)?\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29241 by 10.\nAnswer: 29241\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1569026*f**2 - 70*f - 376 wrt f.\nAnswer: 3138052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:54 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1943, 1942, 1953, 1982, 2035?\nAnswer: 2118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l - l + 5*l)*(-2*l - l + 4*l) as g*l + n + j*l**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 9:22 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + -1 + -4 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 3704 - 3638 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5351 + 540?\nAnswer: -4411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2 - -6) + -4 + 0 - -10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101402120 (base 6) to base 16.\nAnswer: 1ad2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 4*n**2 + 0*n**2)*(3 - 3 - 2*n**2) - 16*n - 11*n + 2*n**4 - 5*n.\nAnswer: 6*n**4 - 32*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/494 and -109\/533026?\nAnswer: 533026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20310 or -20311?\nAnswer: -20310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18559 + 814. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -103 + h**2 + h**4 - 99 - 132*h - 109 + 309 in the form n + x*h**3 + l*h + w*h**4 + j*h**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*r - 17*r - 27*r)*(3 + 4 - 4).\nAnswer: -51*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2086*i**4 - 6127623*i**3 - 27618257*i**2 - 12300498*i - 11768 = 0.\nAnswer: -4, -1\/2, -1\/1043, 2942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5967 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g - 68*g + 267 = -138 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -5. What are the prime factors of 128\/20 - f\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -22*b**5 + 12\/7 + 716\/7*b**3 + 204\/7*b**4 - 130\/7*b + 216\/7*b**2 = 0.\nAnswer: -1, 1\/7, 2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -48800000 rounded to the nearest 1000000?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirty-three fifths of a millisecond?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 92 = 4*d. Suppose 20*c - d*c - 35 = 0. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*a**3*m**2 - 9106*a**3*m - 84*a**3 - 6*a**2*m**2 - 9182453*a*m**2 wrt a?\nAnswer: 48*m**2 - 54636*m - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1040, -42, 0, -0.4, -0.3 in decreasing order.\nAnswer: 1040, 0, -0.3, -0.4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 1)*(-3*b**2 + 2*b**2 + 2*b**2) + 3*b**2 + 5 - 5 + (0 + 0 + 2)*(-b**2 + 3*b**2 - 3*b**2).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaabajujjbujagjajba. What is prob of sequence gajb?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z**2 - 4*z**2 - 3*z**2 - 4*z to the form c + w*z**2 + x*z and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btaatktbtbabe. What is prob of picking 2 b?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 1 = -3*c + 8, 2*i - 13 = 3*c. Suppose 3*p + 976 = 4*u, 7*p = i*u + 2*p - 1220. What are the prime factors of u?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 140243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 20. Let k(d) be the first derivative of t*d + 0*d**3 - 1\/6*d**6 - d**2 + 1 + 0*d**5 + 0*d**4. Find the second derivative of k(s) wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -30433?\nAnswer: 30424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 481 and 2923?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*b**2 + 175*b**2 + 93 + 14 + 2*b + 84.\nAnswer: -b**2 + 2*b + 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/5 + 24116*f**4\/5 + 313732*f**3\/5 + 1375896*f**2\/5 + 477990*f + 1303668\/5 = 0 for f.\nAnswer: -6, -3, -1, 12071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -172, -345, -518, -691?\n\"Answer: -173*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25 + 11\/((-88)\/(-64)). Factor -s*t + 19*t + 4*t**2 - 7*t - 38*t + 3*t - 128.\nAnswer: 4*(t - 16)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*z = 23, 0*t + 2*t = 5*z + 41 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1747641 is divided by 317.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50481 - 104.\nAnswer: 50377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -708 + 1687. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k + 79. Let t(a) = 4*a - 156. Determine 4*t(l) + 9*z(l).\nAnswer: -2*l + 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 9*v + 9. Let g be y(-6). Which is smaller: -15\/2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000211 (base 3) to base 2.\nAnswer: -101101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669*h + 6075 - 45899 = 145*h for h.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 271079101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 10)*(-198)\/3267.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s - 4. Let p(o) = o**3 - 4*o**2 + 2*o - 1. Let k be p(s). Let u(a) = 2*a - 10. What are the prime factors of u(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 10, 2\/13, -2\/15, 4, 23, -106, -3\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, 0.1, -4 in decreasing order.\nAnswer: 125, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13339, -13195, -13051, -12907, -12763?\nAnswer: -12619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 15, 0 = t + z - 6*z - 29 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222258.\nAnswer: 2, 3, 17, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3741 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d7c - -de3?\nAnswer: 1c70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6100 and 12530620.\nAnswer: 62653100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 138 divided by 2\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*y - 22. Suppose 4*f = -5*t - f + 5845, -y*f = 3*t - 3508. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/1)\/(0 + -1). Suppose 3*h + 3 = -p*h. Let n = h + 3. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 60*o**3 - 12*o**2 + 10*o - 18. Let m be c(6). What is m rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from ofgfxgfgggggtftgt?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 145627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.75215 and -14.\nAnswer: 94.5301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 331 + -241. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 12*w**2 - 10*w + 11. Let f be c(-11). Suppose -2*h + 2 = -4*h. Sort 5, f, h in descending order.\nAnswer: 5, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 16. Let d(b) = -b - 16. What is -3*d(f) - 2*s(f)?\nAnswer: f + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v)**(-35)\/((v*v**(-2\/7))\/((v**(3\/4)*v)\/v)) assuming v is positive.\nAnswer: v**(1961\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 25*w**2 - 29*w + 23. What is the thousands digit of i(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7676741504 to five dps.\nAnswer: 0.76767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -183669 or 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-67772)\/(-9) + 30\/(-135) + 0. Let q = b - -869. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 0 - (-1)\/10*2. Let v = 1855 - 1852. Determine n so that 1\/2*n**2 + 1\/10*n**4 + 0 - y*n - 2\/5*n**v = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4068, -4069, -4070, -4071, -4072, -4073?\nAnswer: -4074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29.42003 years?\nAnswer: 353.04036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/30)\/(5\/10)*3\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2527*g**2 + 98*g - 98*g.\nAnswer: 2527*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r - 4. Let w(k) = 3*k + 2. Let h(q) = 6*j(q) + 11*w(q). Determine h(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, 2, -2 in increasing order.\nAnswer: -2, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165772 a multiple of 354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002651 rounded to five dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11176726\/189345 + 3837\/65. What is the common denominator of 32\/15 and q?\nAnswer: 14565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 139 (b) 20 (c) -1\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 207*u + 1936. Calculate f(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297837.\nAnswer: 3, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c + 16*c - 2*c**3 + 16*c - 3*c.\nAnswer: -2*c**3 + 37*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 107682 and 107682.\nAnswer: 107682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -349865, -703187, -1056507, -1409825, -1763141?\n\"Answer: p**2 - 353325*p + 3459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/9 (b) 1 (c) -0.232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*g + 720 = 2*p, 0 = -3*g - 3. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -257, -343, -379, -347, -229, -7, 337?\nAnswer: 821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**0)**(-20))**(-1\/31)\/(s**(-1)\/s*s**(3\/2))**(-24) assuming s is positive.\nAnswer: s**(-352\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 + 65. Let n be 1\/(16\/96 - h\/(-10)). Suppose -8*l + 4*l - 10 = 5*o, -5*o = 3*l + n. Let t(q) = -4*q**3. Let j(c) = -c**3. What is o*t(y) + 21*j(y)?\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 49?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -199, 682, 3053, 7658, 15241?\n\"Answer: 124*f**3 + f**2 + 10*f - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 1. Let s(a) = 90*a + 81. Let m(f) = -2*s(f) - 162*z(f). Let x be m(2). What is x rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 0.28, -0.23, 0.25, -0.2?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 13 + 5 = 0. List the prime factors of -6*(-1)\/(-2)*(-220)\/q.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 1)*(4 + 3 - 25)*(12 - 12 + 16*g)*(2 + 4 + 0) in the form y*g + f and give y.\nAnswer: 3456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 12, u: 3}. What is prob of sequence ju?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8001152441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/((-1955)\/(-2669)) + (-70)\/(-50)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187191335.\nAnswer: 5, 17, 421, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 38 + 12*m**2 - 10.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 109*k**8\/84 + k**6\/60 + 33*k**5\/10 - k**3\/3 - 807*k**2. What is the third derivative of t(q) wrt q?\nAnswer: 26160*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1603, 3649, 6139, 9073, 12451, 16273, 20539?\n\"Answer: 222*t**2 + 1380*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924523?\nAnswer: 924523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + i - 9 = o, 3*o = -i + 19 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 6) + 114 + (2177 - 2201).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41606932*g**2 + 91335786 wrt g.\nAnswer: 83213864*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25400 - 114350?\nAnswer: -44550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9765 and 2790.\nAnswer: 19530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (31\/((-744)\/64))\/((-22)\/(-7854)*-14)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -8*t - 6. Let x(q) = -7*q - 5. Let l(i) = -5*b(i) + 6*x(i). Let w(y) = -3*y - 5. Let s(c) = 1. Let u(d) = 5*s(d) + w(d). Calculate u(l(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -603, 4, 1\/6, -42?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, j: 5, r: 5, e: 5, x: 2}. Give prob of sequence mr.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-370)\/(-10))\/(8\/(-2)*39\/(-1248)*4).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -2. Let k = -2 + p. Suppose -10*y + 11*y = -1. Put y, k, 4 in descending order.\nAnswer: 4, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/(-1))\/6)\/(-7).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + a + 4. Let b be f(2). Suppose 26 = -4*s - 4*d - d, -10 = b*s + d. Is -17\/6 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 + 13*k**4 - 9*k**4 + 0*k - 8*k**4 - k to the form s + a*k + x*k**3 + p*k**2 + g*k**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 827.9996023 - 828. What is i rounded to 5 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2))**(-4))**48)**(-14) assuming v is positive.\nAnswer: v**(-5376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**5 - 36*t**4 + 56*t**3 + 132*t**2 - 58*t - 96 = 0.\nAnswer: -1, 1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -0*o - 4*s - 2, 5*o + s = -23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*p = -227684 + 226904 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 30*v - 30. Does 9 divide p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1345251 (base 7) in base 15?\nAnswer: -382d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaf when three letters picked without replacement from {a: 1, f: 1, x: 1, m: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 23 - 5*a + 6*a + 10*a. Let f(o) = -2*o - 4. Let q(p) = p**3 + 10*p**2 - 10*p + 17. Let u be q(-11). What is u*z(t) + 34*f(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -198*q - 6 + 265*q + 9 + (-2 - 1 + 2)*(-2*q + 4*q - 3*q) - 2*q + 0*q + 4*q.\nAnswer: 70*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 28*n + 1\/27*n**4 + 0 + 0*n**2 + 1\/270*n**6 + 1\/45*n**5 + 0*n**3. Factor v(u).\nAnswer: u**2*(u + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3907977, -7815928, -11723879?\nAnswer: -15631830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8199591.\nAnswer: 3, 2733197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((55\/33)\/((-5)\/30))\/(2\/(-2))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1711, -3416, -5123, -6832?\n\"Answer: -a**2 - 1702*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -24. Let h = r + 22.51. Let y = 0.2 - h. Round y to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-17)*c)\/(c*c*(c\/(c**(-1\/10)\/c))\/c)*(c*c**(2\/5))**(8\/11) assuming c is positive.\nAnswer: c**(-1879\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -863 + 862.9995671. What is h rounded to five dps?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001011001101 (base 2) in base 9?\nAnswer: -44274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 8*t - 13 - 3, -4 = -2*t. Solve c = 36*b - 48*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 50298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3282*c + 3219*c + 3906 = 0. What is the remainder when 816 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.076. Let n = 0.024 - o. Suppose 5*v = -29 + 59. Which is the nearest to 2\/7? (a) v (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -602 + 601.992115. Round d to four decimal places.\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 246253 or 245999?\nAnswer: 246253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22024465.\nAnswer: 5, 73, 83, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 5*y - 7. Let v(t) = t + 1. What is v(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16730412 (base 10) to base 5.\nAnswer: 13240333122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1022 and 153.\nAnswer: 156366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/65*(-3560)\/(-712).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 36*d**2 - 4*d - 1229. Let z(c) = c**3 - 41*c**2 + 5*c + 1229. Let i(j) = 7*w(j) + 6*z(j). Differentiate i(g) with respect to g.\nAnswer: -3*g**2 + 12*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 5 - (1246\/7 + -6). Suppose -51 + 319 = -2*h - 3*t, 2*t = -h - 132. Let x = h - g. Calculate the lowest common multiple of 16 and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6456 and 1704?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*y + 447601 - 440149 = 0 for y.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 66*a**2 + 28*a + 83. Is l(-34) a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(95)\/sqrt(5) + -1 + sqrt(931) + -4 + ((1 + sqrt(76)\/sqrt(4))*-4)**2.\nAnswer: 40*sqrt(19) + 310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19, 12 in decreasing order.\nAnswer: 12, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, k: 3, p: 4, q: 2, x: 3}. What is prob of picking 2 x and 1 r?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 4:59 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 less than -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 m, and 1 h when three letters picked without replacement from hhimhiihhcmc?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15692*d**3 + 32689*d**3 - 15102*d**3.\nAnswer: 1895*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15831?\nAnswer: 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -2*o - 42, 8*o - 11*o = -2*w - 1147 + 1250 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 43, -1, 4, 2\/17, 0.3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*n - 2344. Suppose 0 = q + 5*p - 98, 5*q + 0*p - n = -p. Suppose q = 3*k - 71. Calculate the highest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7920 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12107\/60 + 1647\/10. Let t = g + 37. Let z = -5\/3671 - 422105\/44052. Find the common denominator of t and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -156*p + 9*p**2 - 12*p**2 + 1 - 9*p**2 - p**2. What is the tens digit of d(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 55*l**2 + 170*l - 120.\nAnswer: 5*(l - 6)*(l - 4)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -16*r**3 + 19*r**2 + 44*r + 24. Let i(c) = 236*c**3 - 284*c**2 - 660*c - 360. Let d(n) = -3*i(n) - 44*y(n). Factor d(q).\nAnswer: -4*(q - 6)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**3 + 119*q**2 + 12*q + 159. Calculate v(-17).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1626892771.\nAnswer: 7, 2131, 109063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, x: 1, q: 3, k: 2}. Give prob of sequence kx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.074? (a) -2\/15 (b) 8\/11 (c) -0.383\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-21))\/(10\/(-6))*-2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/14, 3\/5, 2\/5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4328)\/(-2164)*4\/2*10\/(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -2. Let a = h + 6. Let d = 4 - 9. What is the smallest value in a, 0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/7)*i*i*i)\/(i**(-2\/37)*i))\/(i\/i**(1\/10))**36 assuming i is positive.\nAnswer: i**(-38743\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17226*r**3 - 18697 with respect to r.\nAnswer: 51678*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -2, -6, 35?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*z**2 - 8\/7*z - 8\/7 = 0. Calculate z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*j = 3910, -63*n + 7821 = -59*n - 5*j. What are the prime factors of n?\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*8\/(-6)*21\/1. Let b be ((-414)\/21)\/((-4)\/r). Suppose b = 6*p - 5*p. Calculate the remainder when p is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7434906 and 185872650.\nAnswer: 185872650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 * -0.125\nAnswer: -0.01625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3915*q + 186 = 3920*q - 94, 2*q + 242 = -4*x for x.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -835, -1668, -2497, -3322, -4143, -4960, -5773?\n\"Answer: 2*x**2 - 839*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 2*b**2 + 3*b - 4. Give r(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**4\/2 - 49*w**3\/2 + 735*w**2\/2 - 4459*w\/2 + 4802 = 0.\nAnswer: 7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.556 + -2.856. Sort v, -1\/6, 2, -72, 0.1 in increasing order.\nAnswer: -72, v, -1\/6, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 891759 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 50 = 58. Suppose -3*b - 5*a = -7, n*b + a - 10 = -3. Calculate the highest common divisor of 140 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 31 + 37)*(0 - 2*l**2 + 0) in the form r*l + z + b*l**2 and give b.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvfvo. What is prob of picking 1 v and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -729, -7\/27 in descending order.\nAnswer: -7\/27, -1\/2, -729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1763 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 4 + 4)*(o - o - 2*o**2) + o**4 - 2*o**4 + 0*o**4 + (-5*o**4 + 6*o**4 - 4*o**4)*(3 - 2 - 2 + (-6 - 3 + 4)*(3 - 1 + 0)).\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 4*w**2 + 3*w - 6. Let v(h) = 3*h**2 + 1. Let k be v(1). Let q = 2 + 5. What is the smallest common multiple of q and a(k)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -147, -276, -441?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2939137395 to the power of 1\/3, to the nearest integer?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12781 * 26.\nAnswer: -332306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. Suppose 5 = x*n - 1. Suppose u = 4*r + 32, 5*u - 14 = 4*u + r. Solve -n*v - u = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppqp when four letters picked without replacement from pqpppq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71551191 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 101*w + 875. Give t(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkhx when four letters picked without replacement from {h: 3, k: 4, x: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i + 5. Let s be -1*(-2)\/(-5)*-5. Let h(r) = 1 - s + 0 - r + 0. Suppose 0 = -g - 4 - 1. What is g*h(q) - b(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -3496, 66, -3, 1, 5 in ascending order.\nAnswer: -3496, -14, -3, 1, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**2*q**2*x + d**2*q*x**2 - 3*d**2*q*x + 2*d*q**3*x**2 - d*q**3*x - 8*d*q*x**2 + d*x wrt x?\nAnswer: 2*d**2*q + 4*d*q**3 - 16*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 + 4.96. Let t = -4 + 3. Which is the closest to t? (a) 3 (b) d (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z + 11 = -48*z + i, 2*i + 31 = 5*z + 4*i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 83565 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -390) + 0 + -3 + -2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a**3 + a**3 - a**3)*((-2*a**2 - 2*a**2 + 5*a**2)*(6 - 2 - 2) + a**2 - 2*a**2 + 0*a**2) - 16*a**5 - 6*a**5 + 18*a**5.\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*y = -12, 0 = v - 30*y + 26*y - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1210*l**3 - 418*l**2?\nAnswer: 7260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 24. Solve 0 = 2*o + 5*i - 23, 4*o - w = 5*i - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.95 - 0.05. Let p = -11.354 + -0.046. Let s = p + 11. What is the second smallest value in s, c, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 95\/3. Suppose -12*q + 8*q - 20 = 0. Let m(k) = 7*k + 30. Let u be m(q). Which is the second smallest value? (a) u (b) -2.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from yyayydihai.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3234, -6502, -9774, -13050?\n\"Answer: -2*a**2 - 3262*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 0)\/((52\/(-65))\/(4\/(-5))). Which is the smallest value? (a) 0.5 (b) 2064 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -3 - 21. Suppose -m = -0*a - 5*a + 20, 3*a - 12 = q*m. Let x be 50\/6 - a - 8\/(-12). Solve 4*j = -2*f - 4, 4*f + 3*j + 3 = x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 13*y**2 - 2*y - 20. Calculate the remainder when 58 is divided by t(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-32)*((-9682)\/4888 + 9*(-13)\/6084)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72.2 - -81. Let t = w - -2.2. Let v = t + -10. Put v, -1\/8, -4 in decreasing order.\nAnswer: v, -1\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.257741 to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 11) to base 10\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5449 - 3648. What are the prime factors of v?\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-15))\/(3\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(425) + 3*sqrt(425) + 5 + -1).\nAnswer: -80*sqrt(17) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 = 3*h + 2*h. Suppose -5*a + h = -2*x - 44, -5*a + x + 128 = 0. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111333232200 (base 4) to base 14.\nAnswer: -aa1488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 123, 122?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18, -44, -94, -174, -290, -448?\n\"Answer: -f**3 - 6*f**2 - f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24958560 divided by -29.\nAnswer: 860640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5587 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z - 63. Let y be v(-10). Let w be 112460\/(-450) - 4\/18. Let q = 250 + w. Which is the nearest to y? (a) 4 (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7657929?\nAnswer: 3, 181, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 12057741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4823 greater than or equal to -4827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 444719*v**3 - 444692*v**3 + v**2.\nAnswer: 27*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0371593 rounded to three dps?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -20. Solve t*j = 6*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1818419 is divided by 454597.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 20*q - 17*q)*(2*q**3 + 2 - 7*q + 7*q)*(-2 + 2 + 5).\nAnswer: -350*q**4 - 350*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 - -0.115154232?\nAnswer: -0.204845768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -10*n + 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u - 4*u)*(u**2 - 3*u**2 + 0*u**2) + u**3 + 4*u**3 + 10*u**3.\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.04 - -0.04. Let z = 2049 + -2049. Which is greater: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 718, -2631, -5978, -9323, -12666, -16007, -19346?\nAnswer: -22683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 10, -37 in descending order.\nAnswer: 10, 3, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2900 and 2175?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -81, -187, -353, -591, -913?\nAnswer: -1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 59, 4, 3, -12, -24194 in descending order.\nAnswer: 59, 4, 3, 2, -12, -24194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -5, -0.9, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*2\/(-21)*(-168)\/360.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 3478.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -41562060 divided by -278940?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -403*r - 101838. What is h(-253)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 171 - 338. Let a = -13 - y. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - -8)\/((-4)\/(-10)). Suppose 3*f - 2*v - 42 = 0, 4*f - 2*f = -u*v + 47. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4*6*(-22)\/198*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {n: 5, o: 8}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16611.\nAnswer: 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1024752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/21, 2\/9, -13, -7, -3\/2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 3. Let p be g(-3). Let t(c) = 174 + c - 388 + 219. What is t(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.6 (b) -1\/2 (c) -1\/3 (d) 12 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2971*q**2 - 1355*q**2 + 1353*q**2.\nAnswer: 2969*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2 + 5*g + 1. Let q(v) = 4*v - 6*v**2 + 3 - 3*v - 4 - 7*v. Give 7*n(k) + 6*q(k).\nAnswer: -k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jaaa. What is prob of sequence aaa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1\/(-10)*((-34276)\/209)\/164.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/6 - (-7 - -9)\/(14\/35)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*g + x + 4*x, 5*g = 2*x + 31. Solve -4 = -3*m + g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1821 times 5400?\nAnswer: -9833400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8164182 divided by -102?\nAnswer: 80041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o - 3. Let b(d) = -14*d + 9. Let f be ((-550)\/200)\/(2 - (-9)\/(-4)). Determine f*k(v) + 4*b(v).\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 628 + -624. Solve -18 = 2*k - 3*m, 0 = 7*m - 8*m + p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73254.\nAnswer: 2, 3, 29, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9297580, -9297586, -9297592?\n\"Answer: -6*p - 9297574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102721678?\nAnswer: 2, 51360839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14341103 (base 5) to base 9\nAnswer: -252354","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 15*g - 19 - g - 2*g.\nAnswer: 12*g + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18676 - -18698. What is the third smallest value in 3, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2 - 38*w - 140 = 0.\nAnswer: -14, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-594)\/(-18))\/(3*2)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1024*d**3 + 115*d**2 - 79*d**2 - 33 - 2*d**4 + 1023*d**3 + d to v*d**4 + o*d**2 + n*d**3 + w + g*d and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -16. Let l(u) = 7*u**2 + 2*u - 1. Calculate the lowest common multiple of i and l(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*c**4*r + 4661567*c*r**3 + 292*r**3 + 748*r**2 - 15*r with respect to c.\nAnswer: -128*c**3*r + 4661567*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7)\/f*f)**(-31)\/(f**3\/f**(-3\/7)))\/((f**(2\/17)*f*f*f**(2\/23)*f)\/(f\/f**(1\/3))**(3\/5)) assuming f is positive.\nAnswer: f**(-206511\/13685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 384379228 to the nearest integer?\nAnswer: 19606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*(sqrt(360) + (sqrt(360) - sqrt(360)*-1)*-6)\/(-1*(sqrt(5) - sqrt(45)\/sqrt(36))))**2.\nAnswer: 34850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2709 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 + 606?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -4*k. Solve 3*g = -r - 2 + 5, k = -3*r - g + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 7*n - 6 = 0. Let b be 6\/36 - 11\/n. Solve -b*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.5 + -6.6. Let d = 14 + p. Which is the smallest value? (a) 5\/4 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/21 - 302*y**2\/21 - 304*y\/21 = 0. What is y?\nAnswer: -1, 0, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 y, and 1 e when three letters picked without replacement from ymveyye?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3853198542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3564?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6480 by 5.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20645+-0.25\nAnswer: -20645.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -12. Let j = 17 - i. Let x = j + -8. Solve -x*a + 4 = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7218807)\/254*(-1 - 1\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 40. Solve z - 3*o - 4 = 7, m*z - 3*o = 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 16. Suppose -3*u + 10 = 5*z, 3*z - u - 2 = 4. Let m = 4 + z. Calculate the greatest common factor of m and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 24. Let l be q(-6). What is the greatest common factor of l and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 0.02, -109?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2*c - 310, 3*v - 2*c - 3*c = 213. Let q be (3\/2)\/((-12)\/(-80)). Calculate the remainder when v is divided by 256\/q + 8\/20.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2 + 2910368*q + 1058780236928 = 0. Calculate q.\nAnswer: -727592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3176810338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-10))\/(27\/(-90))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1198868 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00527103645 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -77594000 to the nearest one hundred thousand.\nAnswer: -77600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 148*c**2 - 13565*c + 193. What is z(-64)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4644263, 4644289, 4644315?\nAnswer: 4644341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + r**3 - 4 + (-2 + 3 + 0)*(7*r**3 - 4*r**3 - 2*r**3) + (12 - 7*r - 12)*(-2*r + 5*r - r - 2*r**2).\nAnswer: 16*r**3 - 14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 at least 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35824 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1105 + -515. What is the greatest common divisor of c and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t + 22 + 11*t + 14*t - 22.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283.375 - 48.\nAnswer: 235.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21364 and 327.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2622 - -4129. List the prime factors of y.\nAnswer: 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48*j**3 - 3*j**2 + 30.\nAnswer: -144*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5020 (base 6) in base 2?\nAnswer: -10001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (605 - 525) + 4 + -32\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-38)\/3 - (-8)\/12. Let y be 260\/8*p\/(-10). Suppose 5*b - 2*b - y = 0. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -878, -1752, -2626, -3500, -4374?\n\"Answer: -874*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4760\/884 + 80\/130 + -34.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3)*1*6. What is the second derivative of -4*m**2 - m - m + y*m + 5*m wrt m?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 411 + 61 = 0. Let x(i) = 5*i + 7. Let c be x(3). Let l = c - t. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -682, -2873, -6524, -11635, -18206, -26237?\nAnswer: -35728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 820585261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**3 - 103380*k**2 = 0. Calculate k.\nAnswer: 0, 20676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/2 - ((-30)\/(-5) + -11). Find the third derivative of 29*f**4 + 16*f**2 - f**2 - 39*f**w wrt f.\nAnswer: -240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183 + 2043117*r - 2043117*r - 2*r**2.\nAnswer: -2*r**2 + 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 72?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 5*l**2 + 4*l + 4. Suppose -56*p - 12 = -52*p. What is r(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5*k + 130 = 0, -7550*b + 7548*b + k + 21 = -5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z - 65*z = 21*z + 300*z - 30646 for z.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2811 * 2.7\nAnswer: 7589.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 673455648 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2\/9 + 532*i\/3 + 2610 = 0 for i.\nAnswer: -783, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2120 and 640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90204 and 182204563.\nAnswer: 7517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*h = 170, s + h + 12 = 59. Suppose -3*z + 6*z = -3*g + 42, s = 3*g + 5*z. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = 76 - 167 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2348 - -2346. Which is the closest to -1\/2? (a) 1\/4 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -2*a**3\/3 + 13*a**2\/2 + 4*a. Suppose 2*i - 19 = -5. Let o(b) = -b + 4. What is i*o(l) - 2*w(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*n + 3 - 6 - 29*n)*(-8*n**2 - 6*n**2 - 4*n**2).\nAnswer: 18*n**3 + 54*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7335151?\nAnswer: 307, 23893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/4*(20*7)\/2. Let d = q - 115. Suppose -d = -4*b - 8*b. Calculate the remainder when b is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*l + 5*z - 5, 3*z - 35 = -5*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1851 + 1914. What is the remainder when 1007 is divided by r?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -16540 and -16541 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 660680687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-3))\/(9\/12*2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -7) + (1 - (-1 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 9840146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((59*p**3 + 51*p**3 + 6*p**3)*(2*p**2 + 2 - 2) + 8 + 2*p**5 - 8 - 2*p)*(2 - 3 + 2).\nAnswer: 234*p**5 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1501 is divided by 244?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -74, -48, 70, 310?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 112148 and -1?\nAnswer: -112148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1213 + 1217. Let m(z) be the first derivative of 12 - 5\/2*z**2 + f*z**4 + 0*z + 0*z**3. What is the second derivative of m(j) wrt j?\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5754, 23475, 53010, 94359, 147522, 212499?\n\"Answer: 5907*i**2 - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -5*a - 26. Let f(c) = c**3 - c**2 + c. Let y be f(1). Let q = y + 1. Solve a = -4*s + 5*h, -q*s = 2*h - 4*h + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 124. Let k = 41 - l. Suppose -4*i + 11590 = 5*q, k*i - 7339 = 5*q + 1371. Round i to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 38, 71, -2, 3, 0 in decreasing order.\nAnswer: 71, 38, 3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2379 + 2591. Calculate the greatest common divisor of 795 and d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 2*h**2 - h + 69. What is the tens digit of m(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5 + -1.491. Let j = s - 0.195. Round j to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + (-1 - (-6 - 23585)). Let l = a - 1698079\/72. What is the common denominator of l and -37\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141495*h**3 + 1148*h + 32 wrt h.\nAnswer: -848970*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2554*x + 39. Is d(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + s**2 - s + 153. Suppose -2*g + g = 0. Let f be a(g). Suppose 4*h = 1181 - f. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(66)*1*4 - ((sqrt(66) - 2*sqrt(66)*4) + sqrt(66)))\/(-2*(3*(sqrt(294) - sqrt(294)*-1) - sqrt(294) - sqrt(294))).\nAnswer: -5*sqrt(11)\/28 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.24 (b) -34 (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*(-48)\/64*-52?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -9 - (3 + 93)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.49 at most as big as -6044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -984, -996, -1014, -1038?\nAnswer: -1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 + 10. Let u = -45 - p. Suppose 3*z + 5*t + u = -0*z, 5*t = -5*z - 25. Is 2 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 0*u**2 - 2*u**2 + 6*u - 2*u**2. Let z(b) = 3*b**2 - 5*b. Let l(y) = 52*y - 19*y - 18*y + 47 - 13*y. Let w be l(-26). Determine w*z(r) - 4*s(r).\nAnswer: r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 14218*d - 63207 + 63207 in the form k + h*d and give h.\nAnswer: 14218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 + 3*d + 71)*(-1 - 2 - 1) + 988 - 26*d - 988.\nAnswer: -38*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 2*m**2 - m**2. Let z(p) = 2*p**2 - 3*p + 3. Let k(n) = -n**2 + n - 1. Let x = 51 - 52. Let a(u) = x*z(u) - 3*k(u). Determine f(a(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5850954517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -66658 and -2.\nAnswer: -66660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-6 + 5) - 7 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 4 = -2*s, 113*f - 5*s = 111*f - 19 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7706 - 6203. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 180\/97 or 1?\nAnswer: 180\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1195, 1618, 2379, 3478, 4915, 6690?\nAnswer: 8803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 41 = d - 16, -4*q - 2*d = 26. Let s be q\/10 + 6\/15. Let p(c) = -c + 8. Let o be p(s). What is the greatest common factor of o and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -221 - -964. Suppose y = x - 756. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-8)\/((-104)\/(-13))))\/(1\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + -4 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 9398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5798)\/(-8) + 13\/52. Suppose -5*b - d = -5*d + s, -452 = 3*b + d. Let z = -109 - b. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 3*d - 3*d + (2 - 5 + 4)*(d + 2 - 2)*(8 + 15 - 4) + 9*d - d + 2*d in the form a + n*d and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2713 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/272685 and -89\/38955.\nAnswer: 272685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -248*l + 2497. Calculate w(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2880) + (sqrt(2880) - (sqrt(2880) + (sqrt(2880) - sqrt(2880)*1))))*-4)\/(-2*-2*sqrt(90)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1731 divided by 1\nAnswer: -1731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52349?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*r - 822 = 305*r + 87 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 9*d - 17. Suppose -x - 3 = -2*b, 293*x = 297*x + b - 33. Determine c(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnonnnnnonnoynoon. Give prob of sequence oo.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from faccwffaffffecewf. Give prob of sequence aeaw.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 0 + 0*r**2 - 1\/15*r**6 + 1\/5*r**5 + 2*r - 1\/6*r**4 + 0*r**3. Determine u, given that q(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(3) - (4 + (sqrt(6)\/sqrt(2) - sqrt(3))))*5 + ((sqrt(12)*-3 + sqrt(12))\/sqrt(4) - (-2*sqrt(3)*4 - sqrt(3))))**2.\nAnswer: -360*sqrt(3) + 657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -3 + (5 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*j - 37 - 36 + 153 - 34 - 40 - 256*j.\nAnswer: -5*j + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/112*42)\/((-3)\/4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107 is divided by ((-627)\/110)\/((-9)\/(-12))*1*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2301 is divided by 149?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 10*a - 6576 = 0. List the prime factors of (-3)\/2 + a\/(-4).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h*h**10*h*h\/((h*h*h**(-19)*h*h)\/h) assuming h is positive.\nAnswer: h**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 5*d + 4. Let y be f(-4). Suppose -6 = 3*j, y = -14*a + 13*a + j + 120002. What is a rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(7)*1)*1*-1.\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 1947*j**8\/56 - 3101*j**4\/12 - 660*j. What is the third derivative of w(l) wrt l?\nAnswer: 233640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9861000 rounded to the nearest 100000?\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*p = 197*p + 30. Let r(a) = 8*a + 4. Let x(m) = 23*m + 12. Give p*x(q) - 17*r(q).\nAnswer: 2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.978 times 1.6\nAnswer: -3.1648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.224 + 0.076. What is the nearest to 4 in -0.3, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from mnzmnmmmmnnzz.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*0*(-1)\/2. Let v be c - ((2 - 2) + -2). Let n = 19\/3 - 17\/3. Which is smaller: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxk when three letters picked without replacement from {k: 4, g: 1, f: 1, w: 1, x: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11\/5, 21624, 13?\nAnswer: 21624","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 18*v - 13. Let d be h(-8). Let c(x) = -x**3 - 7*x**2 - 6*x. Let j be c(-6). Suppose -4*o + o + d = j. Is o at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -4746, -41\/90, 1\/4?\nAnswer: -41\/90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + p + 3. Let y be w(6). Which is smaller: -24 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114643 - 98963 = 31*q + 249*q for q.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 44, 17, -26, -91, -184?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143 - 147 - 92593*y + 290.\nAnswer: -92593*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3\/5 - 17912*x**2\/5 - 28682*x - 125496\/5 = 0. What is x?\nAnswer: -7, -1, 8964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*i + 132*i = 2*q + 19, 9 = q - 2*q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 172024 at least 172024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/36 - (9 + (-261)\/(-36)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21089\/1610 + -129\/10. Let f = n - 12009\/1288. What is the common denominator of 9\/7 and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*l = -l - 12474. Solve -l = -41*i - 454 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18542 + -18541.8. Let l = 0.1 - 0.3. Let n = 0.1 - l. What is the nearest to -1 in n, k, 4\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339526942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 318 + -314. Suppose 4*q - m = 4*z, 4*q - 4 = z - 0. Which is the closest to -1? (a) q (b) 13\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 5*t - 5*t)*(263 - 263 + 40*t)*(-t**2 + 5*t**2 - 2*t**2).\nAnswer: 160*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -505 (base 9) to base 12.\nAnswer: -2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 107, 1221, 3 in decreasing order.\nAnswer: 1221, 107, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*j + 15, -5*j + 3*r = -7*j + 21. What are the prime factors of 24868\/36 - j\/(-27)?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 + -62. Let l(x) = -30 + 3 - 3*x**2 - 8*x**2 + x**3 + 11*x. What are the prime factors of l(j)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -i + 49, -2*i - 2*i + 226 = -2*r. Suppose 0 = -a - 3*w + i, -5*a - 7*w + 4*w = -246. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*f + 2 = 0, 0 = -5*o + 4*f + f + 50. Suppose -3*n + o = -4. Let d be (-2)\/10*n\/(-2). Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 4*h - 28, 2*l + 2*h = -2*l - 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**3 + 2. Let o be (-1 + 5)*(-64)\/(-128). Give a(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 294228247 and 0.377619.\nAnswer: 294228247.377619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5\/20*8*(-25)\/(-10) and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -405275200?\nAnswer: -405275195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 900542*c + 9005439. Give x(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.21 + -5. Let u = g - -1.79. Let i = 1 + -4. Which is the second biggest value? (a) u (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(2106) + -1*-2*sqrt(26)))\/(-2*sqrt(242)*1 + (sqrt(242)*-1 - sqrt(242))*-6).\nAnswer: -12*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -665 - -1626. Calculate the highest common factor of 124 and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17365144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/5 + 24*f\/5.\nAnswer: -3*f*(f - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(45) + (-4*sqrt(90)\/sqrt(2))**2.\nAnswer: 3*sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 5:53 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*l. Suppose l*f - 105 = -2*f + 5*x, 2*f + 2*x - 84 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -3. Let d = -4414 - -4417. Let k(w) = 4*w**2 + w - 3. Let x(q) = -4*q**2 - q + 4. Calculate d*x(n) + g*k(n).\nAnswer: 4*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 82969131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -7 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5 - 19)\/(-2))\/((-56)\/(-42)). Sort -4\/7, -4, -58, b.\nAnswer: -58, -4, -4\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2269590 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 549*f**4 - 347*f**4 + 485*f**4 + (20*f**2 - 12*f**2 - 15*f**2)*(3*f + 3*f - 4*f)*(0 - f + 0)*(-1 + 2 - 3).\nAnswer: 659*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 118?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1323778.8 to the nearest 1000.\nAnswer: -1324000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 13*m**2 - 13*m**2)*(m**3 - 3 + 3).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*m + 1. Solve -3*r + 1 + m = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/14 + 18\/(-63). Suppose 11 = i*n - 49. Calculate the greatest common divisor of n and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -519147 * 0.4\nAnswer: -207658.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -15. Let l be (-18)\/27*6\/4. Let q be 4 - (l + (-4)\/(-1)). Which is smaller: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 2322023222?\nAnswer: -2322023211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/(-4) + 2\/(-8). Let l(y) = -4*y - 65. Let a be l(22). Let m = -150 - a. Solve 0 = o*w + w + 5*n - 8, -m*n - 4 = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(363) - sqrt(363)) + 5 + (sqrt(363) - (sqrt(363) + 1)) + sqrt(363))**2*5.\nAnswer: -3520*sqrt(3) + 116240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-11)\/(66\/12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1503? (a) 1\/3 (b) 4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/14*74\/(-407).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 152 - 360 + v - 864 - 1886 - 1619 as l*v + n and give n.\nAnswer: -4577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36300333 divided by -36300333?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1894, -3785, -5678, -7573, -9470?\nAnswer: -11369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*i + 36 = 4*t - 130*i, 2*i = 32*t - 288 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -19404 divided by -4851\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 5. Let t be (-9)\/m - (-2)\/10. Solve -t = 3*u - u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1575 = -71*r + 92*r. Solve -2*k = -73 + r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10416*d + 10444*d - 1121 + 29 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*n - 3556 = 0, -14132 = -49*g + 45*g - 3*n. List the prime factors of g.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcb when three letters picked without replacement from {c: 1, u: 4, e: 4, z: 3, o: 1, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 288294814829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t - 24*t - 162 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -356578 or -356576?\nAnswer: -356576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 17*a**4 - 28*a**3 + 22*a**2 - 12*a + 1. Let c(n) = n**5 - 17*n**4 + 28*n**3 - 22*n**2 + 11*n - 1. Let d(o) = -4*c(o) - 3*w(o). Solve d(l) = 0 for l.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 = -1. Suppose -6*o = -5*f - p*o + 28, -4*o - 8 = 0. Suppose 4*r - 6 = -2*v, 7*v + 5*r = f*v + 11. Calculate the least common multiple of 5 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4045597 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -263, -5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -57*f**3 - 6*f - 7. Suppose -3*b = -18 - 129. Let z = -53 + b. Is h(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*n - 39*n + 3 - 288*n - 3 to v + o*n and give o.\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, x: 1, u: 2}. What is prob of sequence xu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 4*a + 37, -1573*a + 9 = -1570*a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 7 - 3. Suppose i = -2*p - 16, -2*p = 8 - h. What are the prime factors of (-2552)\/(-55) + 4\/i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.389 + -2.472. Let b = 0.139 - l. What is the smallest value in -1, b, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waw when three letters picked without replacement from wffwlwaawawwwllwaww?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - y**4 - y**3)*(60*y - 312 + 47*y + 116 + 105 + 113).\nAnswer: -107*y**5 - 22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -959 * 0.3.\nAnswer: -287.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmoomomtyou. Give prob of picking 1 y, 1 m, and 1 o.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -24 - -10 - 10 - 6) + -22.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 588 and 8064.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6370 is divided by 303?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 12 = 0, 4*z - 38*s + 108*s + 110*s = -90*s + 826 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -39*j - 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a - 10*a - 3*a to the form f*a + s and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -266.\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2909*0.1\nAnswer: -290.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/17*(-1)\/6*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -4*i**3\/3 - 2088*i**2 - 1089936*i + 93. Factor s(w).\nAnswer: -4*(w + 522)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/8 and 67\/234.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3515.\nAnswer: 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**3 + 6*n - 6. What is u(3)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 296 + -290. Let h(b) = 881*b + 2 - 882*b + 0. Determine h(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -499, 35, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -74 + 47. Suppose 15*k = 16*k + a*y - 3, -2*k - 2*y = -2. Determine w so that k*w - 2\/17 + 2\/17*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33121 (base 4) to base 13\nAnswer: -5aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1643 - -1641. Suppose -y + 6 = 2*y. Put r, 5, y in increasing order.\nAnswer: r, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 49 = -7. What is the greatest common divisor of d and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -241 or -1048?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 857343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -i + 5*s, -5*i + 124 + 312 = -2*s. Solve -32*x = -i + 250 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -14606\/5 (b) 1\/6 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 divided by -1?\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11351118 - 6407104. Let f = j + 45986. Round f to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddhhd. Give prob of picking 4 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 5:11 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*h - 12 = -0*h, -h = -5*f - 76. Let w be ((-6)\/90)\/(3\/f)*-79. Which is smaller: -27 or w?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 1. Let r(n) = n**2 + 3*n - 1. Let k(g) = -7*c(g) + 4*r(g). Let i be k(3). Let l = i - 17. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440871221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141 - -197. Suppose -y = -17 - r. Let p = 52 - 33. Calculate the remainder when y is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31882026 is divided by 395.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 28 - -42 - 37?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.6 and 1905?\nAnswer: 1905.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 10:05 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -306 * -158\nAnswer: 48348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 78946 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6934788.\nAnswer: 2, 3, 7, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -101, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 890 + -2669\/3. Let s = -0.1 - -0.6. What is the closest to s in y, 0.2, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**2 - 7*m - 7*m**3 - 3*m**2 - 11*m**5 + 12*m**3 - 4*m**3 + 46*m**5 wrt m?\nAnswer: 2100*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70114 and 66?\nAnswer: 210342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3427 - 150819\/44. Let s = 49\/11 + h. Suppose -33\/4*w - 3\/4*w**3 - s - 21\/4*w**2 = 0. What is w?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 462*u - 1. Let c(y) = 461*y - 1. Determine 6*c(i) - 5*w(i).\nAnswer: 456*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h + 2. Suppose -q = 2*p - 5*p - 1, 0 = -4*q + 4*p + 36. Let x(k) = 11*k + 5. What is q*o(a) - 6*x(a)?\nAnswer: -a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + -1)**2 + 5 - ((-1 + sqrt(1088) + -4)**2 - sqrt(1088))) + (4 + (-1*sqrt(119) + sqrt(119))\/sqrt(7))*4.\nAnswer: -3 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from flefeffflffll?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/17))\/(r*r\/(r\/(r**(4\/7)\/r))))\/(r**1)**(-6\/29) assuming r is positive.\nAnswer: r**(2599\/3451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4)\/v*v)**(3\/32)\/((v*v**(-1\/8))\/(v\/(v*((v**9\/v)\/v)\/v))))**50 assuming v is positive.\nAnswer: v**(-725\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, -15, 70, -2, -3.\nAnswer: -199, -15, -3, -2, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a hour in minutes?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287 a factor of 2243780274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13346036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4 = 11. Let o(i) = -i - 1. Let d be o(-2). Differentiate -5*m - d + v*m + 3*m**2 with respect to m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 224389993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-80*w**3 - 46*w**3 + 60*w**3)*(3*w + w + 1 - 2*w)*(-5 + 4 + 2) to the form a*w**2 + t*w + i*w**4 + p*w**3 + z and give p.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71126 + -33379. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 2639 + 0*p**3 + 3340 - 3*p**3.\nAnswer: -4*p**3 + 701","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 7*u**5\/20 - u**4\/6 + u**2 + u. Let q be a(2). Let n = 10897 - 10877. Calculate the greatest common factor of n and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2283927 <= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -4) + -1 + -2. Suppose -23 - 1 = -k*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: Let k be 9*(4\/(-6))\/(-2). Suppose m = k*m - 10, -3*m - 5 = -5*v. Find the second derivative of r**2 - 2*r**v - r - r**2 wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/((-8)\/36 + (-20727)\/(-7614))\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (14 - -4) + -2. Suppose 4*m = t - 14, -3*m - 2*m - o = 0. What is the smallest value in -1\/8, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13\/11, 16\/9, 3\/7, 3\/667?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**3\/3 + p**2 + 55*p. Suppose 4 = -0*f + 2*f. Suppose 30 = -f*v - 3*v. Determine r(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0)\/g)**(-7\/6)\/(g**(-3)*g\/(g\/g**(2\/5)))*(g**0)**(22\/5)*(g*g*g**(-2\/3)*g*g)**(-8) assuming g is positive.\nAnswer: g**(-361\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*v - 124*v + 46*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*r - 208, 0*r = -2*r - 4*n + 206. Let u = -52 + r. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, y: 2, b: 4, i: 3, l: 2}. Give prob of picking 1 y and 1 i.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/56 and 55\/79513?\nAnswer: 636104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*q - 11189 + 9605 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 18. Determine k(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**2 - 18*o - 5. Let j(p) = -11*p**2 + 27*p + 8. Let c(k) = -8*b(k) - 5*j(k). Let w be c(9). What is the third smallest value in w, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 168.698 + -168.398. Let k = 174.1 - 182. Which is smaller: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - -36. Suppose 7*z - l + 14 = 0. Solve -z*q = f - 13, 3*q + 0*f + 2*f = 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*y - 9*y**2 - 74*y + 43*y**2 to l*y + p*y**2 + n and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 3*n - 2*n)*(-5 + 5 + 5 + 2*n)*(1 + 3 - 1) as a + t*n + c*n**2 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 = 6. Let h = 0.5 + 0. Let w = -0.1 + 0.1. What is the closest to w in h, l, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1805*t**3 - 174*t**2 + 1798*t**3 - 3601*t**3 in the form u + l*t + x*t**3 + p*t**2 and give p.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -63982 < -63985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.379569 litres to millilitres.\nAnswer: 4379.569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-117 - -87) + 1428\/48\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011101001000011100 (base 2) in base 11?\nAnswer: -728508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10528)\/1880*(-5)\/18?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 200 = -10*h. Suppose -3*o = -7*o + h. What is o rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/7, -4, -0.5, -0.7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -5\/3, 17, -20\/523, 1, -10\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + (sqrt(704) - (sqrt(704)*-4)**2) + 3.\nAnswer: -11261 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124 + -76. Let b be (-2)\/4 + (-1)\/(-2). Let y be (-4)\/((-2)\/3 - b). What is the highest common factor of w and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + (-17)\/(-2) + (2 - 3). Let y(j) be the first derivative of 0*j + z*j**2 - 2. Let h(t) = t**2. What is h(y(n))?\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - x**2 - 3*x - 3. Let u be f(3). Suppose 5*h + 0*v - 428 = -2*v, 0 = -3*h + 3*v + 261. Does 12 divide h\/(5\/(15\/u))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 2. Let i be w(3). Suppose 3*r - 1531 = -i*s, 2*s + 1164 = 5*s - 3*r. Suppose 7*m - s = 2*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1345, 1\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 44.00199. Round k to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5282, 10564, 15846?\n\"Answer: 5282*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-540)\/126)\/(6\/(-1778)) + 0 + -1. What is the greatest common divisor of u and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3078?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 15, 2, 5 in increasing order.\nAnswer: -3, 2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 4*p)*(3*p**3 + 6*p**3 - 26*p**3)*(2 - 4 + 3)*(3 - 3 + 2*p).\nAnswer: 136*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889897063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 1:48 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 8. Let t = -23 + 17. Calculate the remainder when 39 is divided by q(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 13258800?\nAnswer: 13258800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 0, -2*v + v - 6 = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (22 - 2 - 1)\/(-1). Let p = -4 - h. Suppose 11*v = p*v - 80. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60412673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84538 - -135801. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -808564, -808560, -808554, -808546, -808536, -808524?\n\"Answer: s**2 + s - 808566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 - -76. Suppose f*w = -2*w. Which is smaller: -2\/47 or w?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -110*p + 100*p + 1617940. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/28? (a) -10 (b) -1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 16721*d - 183927. Determine z(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 459 divided by -1696012.\nAnswer: -459\/1696012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. What is the second derivative of -922*i + 872*i - 35*i**3 - 6*i**x wrt i?\nAnswer: -246*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 31. Let z = h - 15. What is the third biggest value in 5, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 3. Let c be m(0). Suppose -2*g + c*g - 55 = 0. Calculate the remainder when g is divided by 4*5*(-4 - 19 - -24).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 61*f**2 + 100*f**2 - 57*f**2 in the form d*f + j + b*f**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14679 is divided by 4892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**8\/6720 + a**5\/12 + 3*a**2. Let g(l) be the third derivative of w(l). Let q(m) = 2*m. What is q(g(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -99. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = -2*l. What is the common denominator of (-321)\/(-18) + l\/(-6) and 18\/117 - 376\/(-91)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.29 + -0.21. Let i = 2 + -1.6. Let b = 0.5 - i. What is the second biggest value in b, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56699 and 1997268?\nAnswer: 61915308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 2 = 2*r, 5*r - 8*h = -3*h - 20 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**6*v**(2\/17)*(v*v**7*v)**(24\/11) assuming v is positive.\nAnswer: v**(5003\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**8\/6720 - f**7\/630 - f**6\/144 - f**5\/60 - 7*f**4\/12 + 15*f. Let s(g) be the third derivative of a(g). Give s(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**4\/3 + 31929806*m**3\/15 - 8495919499732*m**2\/5 - 28886236563456*m\/5 - 10195146824256\/5 = 0.\nAnswer: -3, -2\/5, 1596492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1418751\/917 or 1548?\nAnswer: 1548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 4 = 3*g. Let b(z) = -z**3 + 6*z**2 - 2*z + 10. Let k be b(6). Suppose 0 = -4*x - 4*i - 12, 2*i - 11 = 2*x + 5*i. Sort g, k, x in ascending order.\nAnswer: k, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + (5 - (1 - 22)). Calculate the greatest common factor of 130 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2900544 - 1805544. Round h to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(405\/(-6)))\/((-26)\/(-39))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 168\/40*(-20)\/(-12). What is the greatest common divisor of n and 4529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9779\/3 or 7992?\nAnswer: 9779\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/6 and (31\/204)\/(-1) + (-67)\/(-268)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.7 - 13.7. Sort -2, -30, b.\nAnswer: -30, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 31*p**3 - 5*p**2 + 5*p + 46. Let y(q) = 15*q**3 - 3*q**2 + 3*q + 23. Let d(l) = 3*j(l) - 5*y(l). What is the derivative of d(h) wrt h?\nAnswer: 54*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/5)*p)\/(p\/p**(-4))*p**9\/(p*p**(9\/5)*p))**(-46) assuming p is positive.\nAnswer: p**(-322\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285 by 812.\nAnswer: -285\/812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1211334 - 40?\nAnswer: 1211244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 9. Let h be y(-5). Solve -2*k + 2 = 2*k + 3*m, h*m - 5 = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/4)\/(2451 + -2422 + 2661\/(-92)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7445 and -136.\nAnswer: -237.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**5\/5 - 9*m**4\/5 + 93*m**3\/5 + 33*m**2\/5 - 234*m\/5 - 168\/5 = 0.\nAnswer: -7, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 85760590 to the nearest one million.\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (672\/(-224))\/(-2 + -1). Which is the smallest value? (a) 1\/14 (b) 8.2 (c) h (d) 0.4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s - 623 + 581 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87*l**2*t**3 + 15*l**2*t**2 - 498*l**2*t - 90*l*t**3 + t**3 + 2545*t**2 wrt l.\nAnswer: 174*t**3 + 30*t**2 - 996*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 16) in base 3?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eewvjjhcw. What is prob of sequence ejwv?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x. Let k(r) = 84882*r. What is 10836*h(d) - k(d)?\nAnswer: 1806*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*w**2 - 4*w**2 - 155*w - 9*w**2 + 2667 + 155*w - 2667.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 797873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 11766 - 11767 = 0. Sort -16, p, -33 in decreasing order.\nAnswer: p, -16, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58553594?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 11172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6654.74 - 6688. Round c to 1 decimal place.\nAnswer: -33.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n = 70 - 36 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - -1 - (0 - -2). Suppose 2*b - a = z, -2*b = -3*b + 3*z - 4. Suppose -35 = -b*j - 0. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1401 + -16849\/12. Let w = 7522\/3 + -2529. Find the common denominator of w and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127 (base 10) to base 3\nAnswer: -11201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*h + 12. Let g be 12\/h + (-10 - -12). Let v(s) = s**3 + 6*s**2 + 9*s + 6. Let c be v(g). Solve c*u = -j, 5*u + 0*j + j = 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Suppose 2*h - 226 = -2*q, -3*h + 5*q + 369 = 2*q. Let z = h - 117. Solve -g - 2*x - f = z, 2*g = 5*x - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 + 71673*p\/2 + 21609029.\nAnswer: -(p - 72271)*(p + 598)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 26433?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u + 12. Let d be ((-528)\/(-80))\/11 + 23\/(-55). What is the nearest to 0 in d, -4, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -733*d + 404*d + 11545 - 48805 = 706*d for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 788924 and 124240.\nAnswer: 15778480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000529 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111578728?\nAnswer: 2, 13947341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -11274, -0.5, 4\/3, -0.03, 1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 divided by 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -78 - c8c?\nAnswer: -1037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*f - 120*f - 21 = -j - 4, 4*j = -5*f - 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31061079, 31061080, 31061081?\n\"Answer: a + 31061078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10322 = 369*v + 2204 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 0.1.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 10*c**2 - 12*c + 22. What is s(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7 - -6*(-36)\/(-27))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -231148*a*i + 30*a + 646 wrt i.\nAnswer: -231148*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4684)\/204 - (-29 + 6) - 182\/(-561).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-50 - -6 - -10)\/((-3)\/7236).\nAnswer: 2, 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -39. Suppose 19*i = 14*i + 80. Which is bigger: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 351 = 4*v, 3*j - 3*v = -126 - 225. Is -1503\/13 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 0*g + 1\/12*g**4 + 1\/50*g**5 - 3\/100*g**6 - 69 + 1\/15*g**3 - 2*g**2. Factor j(m).\nAnswer: -2*(m - 1)*(3*m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/66*(0 - -2). Let h(z) be the first derivative of 1\/2*z**2 - 1 - 4\/9*z**3 + k*z. Determine j so that h(j) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61766676 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97*-0.4.\nAnswer: -38.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**4\/12 + d**3\/6 + 5*d**2\/2 + d - 588. Suppose -k = 5*v + 15, 0 = 4*k + k + v + 3. What is j(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*q + 4. Suppose -2*n = -4*x - 72, 5*n - x - 190 = q*x. Let f = n + -13. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceeeiccieecieeieooe. Give prob of picking 1 i, 2 c, and 1 o.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 704 - 703 + 1412 + 8*a**2 as i + b*a**2 + v*a and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*(107 - 1). Suppose -269 = -3*k - s. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2cc1a (base 15) to base 10.\nAnswer: -144475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 28*h**3 + h**2 + h + 1. Let l be y(-1). Let m = -17 - l. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8092865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (119 - 196 + 688)*(2*w - 3 + 3).\nAnswer: 1222*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.33 - 0.03. Let x = k + -0.3. Let l = 66.5 - 66. Which is the nearest to -2? (a) -1\/4 (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286197.\nAnswer: 3, 19, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*c + 95 = 0, -3*d - 4*c + 34 = -31. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-3)\/(-90))\/(2\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c = -9*c - 4, -113*c - 11 = -5*z - 117*c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.218645694 rounded to four decimal places?\nAnswer: 6.2186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(5*(-2)\/(-15)). Suppose 3*y - 8 = -2*c + 15, 3*c = s*y - 3. Let p = -40 - -58. Solve 5 = 3*l - 2*h - y, 4*l - 5*h - p = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/627 in 5\/2, 4\/5, -5, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 15 = 5*t. What is the tens digit of t\/21 + 29\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -11*y**5\/60 + y**4\/24 + y**3\/6 - 17*y**2\/2 - 5. Let h(d) be the second derivative of p(d). Let t = -65 - -64. Give h(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1236426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -71 - 78 + 151 - 18*l - 58 as b + v*l and give b.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -2. Let b(h) = 5*h + 69. Let f be b(-13). Differentiate 7 - f*d**t + 1 + 8*d**3 + 7 wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 7*l + 10. Let u(x) = -3*x**2 + 20*x + 29. Let h(g) = 17*p(g) - 6*u(g). Let c be h(3). Factor 2*t**2 + 6*t**c + 3*t**2 - 16*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*m + 1372 = 364 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.22? (a) -4 (b) 60\/11 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34908663619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -978, -4\/67?\nAnswer: -978","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 + -52. Let x(h) = -17*h + g*h - h. Let c(b) = -b + 4. Let w(i) = 1. Let m(j) = c(j) - 4*w(j). Calculate m(x(n)).\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.6077 times 0.0242\nAnswer: -0.01470634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 7) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 - 4*f**2 - 19*f + 2. Let n(y) = 7*y**3 + 12*y**2 + 39*y - 5. Calculate -2*n(p) - 5*w(p).\nAnswer: p**3 - 4*p**2 + 17*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n**2 - 14*n + 7. Let v(r) = 3*r**2 - 5*r + 2. Give 2*j(k) - 7*v(k).\nAnswer: -k**2 + 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 62897.66 years?\nAnswer: 628.9766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from zzwwwwwzww.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -16.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 = 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m + 53 = 0. Suppose 2*w = -3*y + 83, 2*w + 0*y - m = 3*y. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-187 - 246 - 1)*(-3 + 3 - r) + 3*r + 0*r - 7*r as j + s*r and give s.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2 = -17. Suppose -p*v + 2*v + 45 = 0. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*((-55)\/55440*-56)\/((-4)\/3).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27767\/2414 + -3\/1207. Let g(w) be the second derivative of 0*w**4 + 0 - 13*w + 0*w**3 - y*w**2 - 7\/20*w**5. Find the first derivative of g(p) wrt p.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36255 and 615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 35110668*k - 102729917283852.\nAnswer: -3*(k + 5851778)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3761 (base 9) to base 12.\nAnswer: -1761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2038 by -44.\nAnswer: 1019\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 883 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 131173579 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + 58*y - 194. Give g(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -89+22149426\nAnswer: 22149337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5 + 1.26. Let s = n - 0.06. Let p be (375\/(-150))\/((-30)\/8). Which is the closest to p? (a) 2\/3 (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 10 = 0, 4*v - 53*c - 14 = -56*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 70\/22 + (-4)\/22. Suppose -j*s = -0*s + 5*f + 45, 2*s + 4*f + 32 = 0. List the prime factors of (2 - 3) + 0 - s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32300321 - -10?\nAnswer: 32300331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8820 + -38.32.\nAnswer: 8781.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 795, -4, -3\/8, -11, 1\/5?\nAnswer: 795","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h - 14. Let r be x(18). Suppose 1332 + r = 5*t. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2454086 and 5677.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**3\/3 - 10294*s**2\/3 - 20594*s\/3 - 10298\/3 = 0.\nAnswer: -1, 5149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by -95.\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2 - 5 + 5*i - 1. Let n(r) = -3*r + 5. Let u(q) = 8*n(q) + 5*w(q). Let o(c) be the third derivative of c**5\/15 - c**2. Determine o(u(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdsvdmdvdwwwdsvsswv. What is prob of picking 1 d, 2 s, and 1 w?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 1 = 3*d - 32, -3*k + 99 = -k - 38*d + 47*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7261, -7317, -7373?\nAnswer: -7429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 80482781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 170005\/42 or 4048?\nAnswer: 4048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1226784780.\nAnswer: 2, 3, 5, 13, 19, 41, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 8*c**2 - 8*c + 27. Let f be n(7). Solve 20 = f*y - 16*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 135, 3 = t - 0*t - 4*s + 33 + 150 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 27. What is the lowest common multiple of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40934 and 14162?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 3:35 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24268394?\nAnswer: 2, 12134197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-2)\/(-6) + 0\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257649.2 meters in micrometers?\nAnswer: 257649200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) 2100 (b) 0 (c) 202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 8:29 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6156 divided by -1\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 72?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5934908?\nAnswer: 2, 7, 29, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*n + 175 - 25. What is the common denominator of -73\/10 and 5*(-1347)\/(-1050) - n?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46, -91, -148, -223, -322, -451, -616, -823?\n\"Answer: -v**3 - 38*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -157290301*a*i + 23594418*a wrt i.\nAnswer: -157290301*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l + 72. Let u be r(-8). Suppose k + 30*y - 29*y - 168 = u, -4*k + 4*y = -648. What is the greatest common divisor of k and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -962126 (base 14) in base 16?\nAnswer: -4d7696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 72*v = 74*v + 2, 2*v = -8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 569, 445, 321, 197?\n\"Answer: -124*i + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -732 + 732. Suppose 436*u - 430*u = q. Solve u*o - 5 = -n - 5*o, 5*o = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*i, -6*o + 5*i + 5 = -o. Suppose 2*f = 2*m + 30, 4*f + 3*m = -o*m + 15. Calculate the smallest common multiple of f and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111645184, -111645189, -111645198, -111645211, -111645228, -111645249?\n\"Answer: -2*p**2 + p - 111645183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124 - 44. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -16*j + 12*j + c, 4*c + 14 = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 11*z - 18. Let v be x(-9). Solve -3*u = -v*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 16*i. Let k(z) = 503*z - 256*z - 250*z. What is k(t(b))?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4151\/5 + -224629\/270. Calculate the common denominator of l and -47\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 94, 2, 1, 3\/4, 0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 9) to base 15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 9:27 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (1 - 6) + 6 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41, -179, -499, -1073, -1973, -3271, -5039, -7349?\n\"Answer: -12*h**3 - 19*h**2 + 3*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 19*z**2 + 44*z - 41. Let k be p(21). Which is the closest to -0.12? (a) k (b) 5 (c) -3\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, -10, -465, -1234, -2341, -3810, -5665, -7930?\nAnswer: -10629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5238 divided by -1746.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16804 and -31646.\nAnswer: -48450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/619 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 h, and 2 p when four letters picked without replacement from {m: 6, q: 2, p: 3, f: 5, h: 2}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**5\/9 - 185672*x**4\/9 - 1485460*x**3\/9 - 1361696*x**2\/3 - 495166*x - 185688 = 0.\nAnswer: -3, -1, 92844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 486737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -58497 at most as big as -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23669741, -94678969, -213027683, -378715883, -591743569?\n\"Answer: -23669743*x**2 + x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1541 + 2.1541. Which is the smallest value? (a) -4.59 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o + 8 = 0, 0 = 3*l + o - 11. Let r = -13 + 14. Solve 2 = l*b - r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1398*17.\nAnswer: -23766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63 + -153?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n - 33. Determine m(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54 * -120.2491.\nAnswer: 6493.4514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -95177, -93389, -91601, -89813, -88025, -86237?\n\"Answer: 1788*r - 96965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 421835888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 56, 58, 60, 62, 64, 66?\n\"Answer: 2*w + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1603*l + 532*l + 609*l as p*l + a and give p.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 + 5*v + 7. Let y be m(-5). Let d = y + -76. Find the third derivative of p**2 + 4*p**6 + 4*p**d - 2*p**6 + p**2 wrt p.\nAnswer: 720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/13218480 and 29\/5287392?\nAnswer: 26436960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -4\/7 (b) -0.7 (c) 3\/4 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32800374 by 16400187.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**2 - 26*i**2 + 41*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/v**11)*v**9\/v*(v\/(v\/v**(-1)))**(-6\/5) assuming v is positive.\nAnswer: v**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 147? (a) 2 (b) 1\/4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -10*s**3 - s**2 + 1. Let q be r(1). Let g = 2 + q. What is the units digit of 2\/g - (-45)\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 y when four letters picked without replacement from {y: 10, i: 1, g: 8}.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 42 + 6*b - 17*b - 84.\nAnswer: -11*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 377\/(-65) + (-6)\/30.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 502, 1026, 1550?\nAnswer: 2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4788.73 microseconds?\nAnswer: 4788730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 16) to base 4\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**3 + 9*w**3 + 4*w**3)*(2*w - w + w)*(-4*w + 2*w + 4*w).\nAnswer: 28*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from {a: 3, w: 1, e: 1, s: 2, f: 7}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*x - 683, -6*x = -3*a - x + 1024. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3963 is divided by 121?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a meter in centimeters?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*m + 3*m, -3*m = -p. Let o(y) = 7*y + 209. Let i be o(-29). Suppose m = 4*w + i - 290. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000067479 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8 = 2. Suppose -x*h - 4 = -0. What is the third smallest value in -1, -0.05, h?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-1)\/(-1)*-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -77.\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23472*b + 11*b**4 + 16 + 2*b**3 + 0*b**2 - 4*b**6 + 23470*b - 7*b**2 wrt b.\nAnswer: -480*b**3 + 264*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(6*z**5 + 3*z**5 + 0*z**5) + 2*z**5 - z**5 - 4*z**5.\nAnswer: 15*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-209*x**3 + 414*x**3 + 509*x**3)*(-7*x + 3*x + 3*x).\nAnswer: -714*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + -1 + (sqrt(5) - sqrt(80))*5.\nAnswer: -13*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 8:46 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 607540589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 643 = 8*t + 179. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 2, -1, 1, -2 in decreasing order.\nAnswer: 2, 1, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -13*y + 3. What is d(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4422117 at most as big as -4422091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 (base 8) in base 5?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 7*f + 3*f + (0 - 5 + 3)*(7*f - 4*f - 4*f) + 1 - 1 - f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 28. Are -12 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 50 + -86 - (-29 - -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.6, 3, -8, 11.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-76)\/18 - 0.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 45437688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 10:31 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 = i + 27*i - 685 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(8) + 1 + 1 - sqrt(22)\/(sqrt(275) + (sqrt(275) - (sqrt(275) + 1*sqrt(275) + sqrt(275) + sqrt(275)) - sqrt(275)))))**2.\nAnswer: 1488*sqrt(2)\/5 + 11288\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(5\/60).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3520 and 27.\nAnswer: -95040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(114)\/(sqrt(6)*1*4 - sqrt(6)) - (sqrt(171) + 1 - (sqrt(171) + 2)))**2.\nAnswer: 4*sqrt(19)\/3 + 56\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2794 and -1.3?\nAnswer: 3632.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8677 = 7*j - 2934 - 2550. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 367 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3 = 13. Suppose -2*x + o*x = 472. List the prime factors of x.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w - 28. Let r be y(9). Let q(a) = 3*a**2 + 8. Let k(m) = -2*m - 5. Let u(o) = -o**2 + 7*o + 15. Let b(c) = -7*k(c) - 2*u(c). Give r*b(p) - 5*q(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67\/4 of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -56806 times 0.048\nAnswer: -2726.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6037 a factor of 2089096895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 352560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -814563.18 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - v = -7, 2*z - 175*v = -177*v + 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 2, e: 4}. What is prob of sequence ew?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 8*f**2 + f**3 - 4*f**2 + 0 + 15*f**2 + 33. What is the lowest common multiple of 33 and a(0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/(s*s**(-3\/7))*s))\/s*s**(1\/5)\/s*((s**(-3\/7)\/s)\/s)\/(s**(1\/5)\/s))**(20\/7) assuming s is positive.\nAnswer: s**(-680\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 1, g: 1, l: 1, j: 1}. Give prob of picking 1 o and 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45011\/4464 - 1\/4464. What is the common denominator of -29\/18 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 - 3)*(-x**4 + 6*x**4 + x**4) + (0*x**4 + 2*x**4 - 3*x**4)*(-4 - 2 + 4) + x**3 - 3*x**4 - x**3 to s*x + r*x**3 + l*x**4 + m + y*x**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13417, -13438, -13459, -13480?\nAnswer: -13501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222122020 - -1001?\nAnswer: 1222200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (29 + 9 - 53).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/1639 - 3288\/8195. Let x = -281 - -2245\/8. What is the nearest to 1 in x, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3332 + -3013. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -21. Suppose s*i - 3*i - 25 = 0. Let n be 4\/10 + 8\/i. Solve -r + x = 2*x + 2, n = -x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-15))\/((-2)\/10). Suppose 4*p = -0*p + w + 149, -2*p - x*w + 57 = 0. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4) - 29165\/(-12470)) + -4. Let m = -140321\/259376 - c. What is the common denominator of m and 97\/8?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.48 - 1.52. Let h = -17 + 8. Which is the third smallest value? (a) 4 (b) h (c) 3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - l + 3 = 0, o - 5*l = 2*o - 15. Suppose 0 = -2*h - 2*h - u + 16, 5*h = 2*u + 20. Suppose 2*m + h - 16 = 0. Solve o*d + 2*d = m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*b - 62 = 0, -3*b + 40 = 2*l - 5*b. Suppose h = -h + l. Suppose 489 + 1075 = q + 91*q. What is the remainder when q is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -314 (base 6) to base 3.\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 961174 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305905 is divided by 2053?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 83*x - 36*x**2 - 44*x**2 - 22*x**2 + 173*x - 392*x. Let j(z) = z**2 + z. Determine 136*j(c) + r(c).\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + m**2 - 1. Let k(h) = 2*h**5 + 2*h**4 - 8*h**2 + 2*h + 6. Let b(u) = 4*a(u) + k(u). Factor b(x).\nAnswer: 2*(x - 1)**2*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdrrrdhdgdrndrdrdrrr. Give prob of sequence gd.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 111*x + 1902. What is c(-28)?\nAnswer: -1206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 4050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 - 71*v**2 - 10*v - 335. Give w(24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n**2 - 8*n - 13. Let x(g) = 3*g**2 + 4*g + 7. Let c(w) = -2*r(w) - 5*x(w). Let h be c(-6). Let u = 29 + h. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124\/35 + -22\/7. Let j(h) = -h + 4. Let i be j(2). Which is the smallest value? (a) -1 (b) f (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**24)*n*n*n**(-2\/55))\/((n**(-2\/21)\/n)\/n*n**(-3\/4)))**(-9) assuming n is positive.\nAnswer: n**(252129\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t + 43*t = -858 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16549)\/182 + (2 + 3934\/(-196) - -18).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-209)*(-215325)\/2610.\nAnswer: -15\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11604, 10825, 10050, 9279, 8512, 7749?\n\"Answer: 2*l**2 - 785*l + 12387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 13. Let u be 4266\/d + 8\/44. Suppose l - 5*l + u = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134345 (base 6) to base 2.\nAnswer: -11000101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/5 + 16*n**2 + 296*n\/5 + 288\/5 = 0. Calculate n.\nAnswer: -36, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c540 + 1622?\nAnswer: 10b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74392263.\nAnswer: 3, 11, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 32*t + 5. Let k(o) = -3 - 4*o + 3*o + 1. Let l be k(-4). Is i(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2030214 (base 5) to base 15.\nAnswer: 9c74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q = -99. Suppose -51151 = -225*t + 5774. What is the greatest common factor of q and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 8:44 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/6959838 and -13\/13919676.\nAnswer: 13919676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -2576?\nAnswer: -2601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3090513*d**4 + 530*d**2 + 223*d wrt d.\nAnswer: -74172312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-68)\/51 + 8\/6. Suppose t = -4*s + 57 + 1379. List the prime factors of s.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142799 - -142691.1045. Let l = -77.921 - h. Let j = -30 + l. Round j to three dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 37.87. Let r = i - -0.43. Which is the smallest value? (a) -1 (b) 0.4 (c) r (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14, -3, -4, 2, 35, 4 in descending order.\nAnswer: 35, 14, 5, 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7993 is divided by 33.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2838 divided by 66.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/790 and -86\/24885?\nAnswer: 49770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -24, 4, 3 in descending order.\nAnswer: 4, 3, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 11*n**2 - 13*n + 22. Let b be p(10). List the prime factors of 2*-4*19\/b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14 + -6 + 2*-1. Suppose 216 = r*m - 3*m. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0093481 to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 3:35 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-5 - 16)) + -47 - -11?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d - 1. Suppose k - 4 = 5*k. Let g be v(k). Suppose -g*a + 74 = -0*m + 2*m, 3*a - 51 = -3*m. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, b: 3, h: 4}. Give prob of sequence ob.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*sqrt(1573).\nAnswer: 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1617 + -11a?\nAnswer: -1735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98066171.\nAnswer: 7, 809, 17317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1247\/9 + -139. Let u = 82\/531 + 4\/59. What is the fourth biggest value in -21, p, -1\/4, u?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/6 and 2\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -34070\nAnswer: 6814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.08 - 104.92. Let v = -72.8 - a. Let p = v + -32. Is 3\/19 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1912, 1890, 1854, 1798, 1716?\nAnswer: 1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -300502, -300806, -301124, -301462, -301826, -302222, -302656, -303134?\nAnswer: -303662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1972 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190802, -381571, -572344, -763121, -953902, -1144687, -1335476?\nAnswer: -1526269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 187434748871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -136 - -205. Let y be 60\/18*(-36)\/(-15). Suppose 0*f - 288 = -y*f. Calculate the remainder when x is divided by f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a - 3367 = -11922. Calculate the remainder when a - 1 - (62 + -60) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-768)\/256)\/(2\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1 = 5. Suppose 0 = -d*z + 1 + 2. Solve -2*r - z = v, 5*v + 0*v = -3*r + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a minute?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(40*a**2 - 1 - 42*a**2 - 15*a**2).\nAnswer: 34*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 46\nAnswer: -0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2732 and 40297?\nAnswer: 161188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -213421 to the nearest 100.\nAnswer: -213400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 4042 + 3997 = 0. Solve 96 - 81 = -u*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (1 - 0 - -1). Let f be r + 2 + (-42 - 0). Let t = -24 - f. What is the greatest common divisor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 98. Let k be h - (1 + -2 + 5). Calculate the highest common factor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4208166021 to the nearest integer?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*2*sqrt(128) + sqrt(128) + sqrt(128))**2 + -3.\nAnswer: 25090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -7. Let l = 10 + j. Let r = 1.2 - l. What is the smallest value in 4, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 6:57 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123\/2 - -319\/5. Let o = 34 + 26. What is the common denominator of -3 + 2 + 1360\/o and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/80 in -2.4, 2\/13, 2.72?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 5:02 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3331 less than 22?\nAnswer: 3353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + y**2 + y. Let n(l) = -3*l**3 - 14*l**2 + 5*l + 12. Let j(q) = -n(q) + 2*o(q). Let u be j(-16). What is the highest common divisor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -12*v + 105, -173*m - 3 = -171*m - v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 845.5 + -845.9. What is the nearest to 2 in -164, 1\/7, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, h: 4, d: 6}. What is prob of sequence dd?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*c - 6808790 = 2303698. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - -10)*(-1 - 13\/(-3)). Suppose u = y - i, 36 - 61 = -2*y + 3*i. Which is the closest to 0? (a) -1 (b) -0.1 (c) y (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-3) - -3)*6. Suppose j = 2*m + 75, m - j - 10 = -46. Let k = x - m. List the prime factors of k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 0.6 (b) -5 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -284, -425, -566, -707, -848?\nAnswer: -989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 1. Let n(x) = x**2 - 5*x - 8. Let g(p) = n(p) + 5*v(p). Let o be g(11). Let j be 1*4\/10*200. What is the highest common divisor of j and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4966 (base 11) to base 3.\nAnswer: -22220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/(873\/776)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3860 - 3860.4. Which is the closest to 1242? (a) t (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**4 - 1953999*h**3 - 318178938651*h**2 - 954523138005*h - 636346153350 = 0.\nAnswer: -325665, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -181.1181 rounded to one dp?\nAnswer: -181.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387 + 605 = -18*b + 1262 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1730 and 71.\nAnswer: -122830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.14 - 7?\nAnswer: -5.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 2, z: 1, l: 2}. Give prob of sequence zly.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-7)\/(-1750)*-2)\/(2\/(-5))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-2))\/(8\/208). Suppose m = n + 4*n. Calculate the remainder when 25 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1320*d**2 + 17*d + 41. Let h be 4\/(3 - 110\/30). Is b(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36543212.\nAnswer: 2, 449, 20347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 682 + 2463. List the prime factors of p.\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 4, -61\/7, 0.07, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 3)*(50*g + 8*g - 11*g) + 2*g - 1 + 1 + (-2 - 2 + 5)*(3*g + g - 3*g) + 4*g - 4*g + g + (-2*g + 4*g + 0*g)*(-1 + 0 - 1).\nAnswer: -188*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z + 12 = 0. Let f = 12 - 6. Suppose y - 3*k = -f, -y + 0*y + 2*k = 3. Solve 0 = y*x + 1 - z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154645178?\nAnswer: 2, 77322589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -24*v**2 + 3*v + 8. Let h(d) = 20*d**2 - 2*d - 6. Let c(k) = -4*h(k) - 3*l(k). Let r(p) = -129*p**2 - 15*p. What is -33*c(f) + 2*r(f)?\nAnswer: 6*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4355 - 2964. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9*a**(1\/26))**39 assuming a is positive.\nAnswer: a**(705\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 77*k**2 - 24*k - 1. Let x be j(-11). Round x to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in -371, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -18*a**2 + 4*a + 11. Let y be s(-6). Let l(o) = -216*o + 42. Let k be l(-6). Let n = k + y. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119450 is divided by 290?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-15)*(-9)\/24. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*y - 142*y - 52 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -4. Which is the second smallest value? (a) -1\/4 (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123251 and 16712?\nAnswer: 986008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 968.\nAnswer: -1\/968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -5*u + 10. What is the derivative of u + 3 + 2*a**4 - 4 wrt a?\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -3*y**4\/2 - 38*y**3\/21 + 2*y**2\/7 + 28. Find q such that p(q) = 0.\nAnswer: -1, 0, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3 - 6*s**2 + s**3 + 2*s - 5 + 0. Let j be q(6). Let h(b) = -b**3 + 5*b**2 + b + 3. Is h(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*s**3\/4 + 66869*s**2\/4 - 40716307*s\/2 - 5817980 = 0. Calculate s.\nAnswer: -2\/7, 1433, 8120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 - r + 2. Let y be w(1). Let x = 1 - y. Find the third derivative of 24*m**4 + 0*m**2 + 24*m**4 - 45*m**4 + 4*m**x wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2 + 10*j - 17. Determine p(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4418980 is divided by 4134.\nAnswer: 3868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 86. Let v(a) = -20*a - 2. Let g(b) = -69*b - 7. Let p(h) = 6*g(h) - 21*v(h). What is y(p(w))?\nAnswer: -72*w**2 - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*b + 54*b + 90*b)*(0 - 3 + 4)*(-3 + 7 - 3) - 2*b + 2*b - 2*b + (b - 1 + 1)*(3 - 6 + 4).\nAnswer: 71*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0261 - -3.9739. Let u = 10 + -12. Which is the third smallest value? (a) t (b) -2\/21 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 3*m + 1. Let z be v(-2). Suppose -z + 3 = 3*i. Solve -2*s - 1 = h + 5, i = 3*s - h + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1308226\/(-717431) - (-200)\/110.\nAnswer: -2\/377","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -128, -260, -394, -530, -668, -808, -950?\n\"Answer: -q**2 - 129*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 9:09 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 104949074509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36733145.\nAnswer: 5, 877, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 3*d, -785 = -5*d - 53*i - 949 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 177733603483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/8*2*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*q + 953 = 6473 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 83*u**2 - 76*u - 490. Calculate c(82).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*v - 4*k + 1, 2*k - 1 = -v. Suppose 0 = 7*i - 6*i - v. Solve 0 - 6\/5*d**2 - 3\/5*d**i - 3\/5*d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-22))\/((-2)\/8). Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 o when three letters picked without replacement from {o: 1, l: 9, b: 3, f: 5, d: 1}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 1. Let p(z) = 6*z**2 - 2 - 2*z - 11*z - 5 + 1. Let n(k) = 6*b(k) + p(k). What is the second derivative of n(f) wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112 - 10*m**3 + 112 + (0 - 1 + 3)*(2*m**3 - 2*m + 2*m) + 2*m**3 - 2 + 2 + 2 + m**3 - 2 + 111*m**3 + 141*m**3 - 97*m**3)*(0*m + 0*m + 2*m).\nAnswer: 304*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 588 and 60294.\nAnswer: 5908812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -0.4 (c) 2\/5717\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 127*j + 8194. Calculate r(48).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2 + 135*h + 378 = 0. Calculate h.\nAnswer: -42, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/9 + 1148*j**2\/9 + 206770*j\/9 + 11942200\/9 = 0. What is j?\nAnswer: -284, -145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24552)\/1023 + (-26)\/(-2) + -1 - -23?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 1, g: 2, v: 2, r: 1}. Give prob of picking 1 v and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b. Let r(u) be the third derivative of -u**5\/12 - 25*u**2 - 1. What is r(i(n))?\nAnswer: -405*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-621)\/126)\/(-23)*16\/288*-8?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -4*f - 23, -3*w = 4*f - 0 - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 8*r + 17. Let i be w(5). Let c(t) = -i - 67*t**2 - 2*t + 65*t**2 + 0. Let h(y) = 3*y**2 + 3*y + 3. Give -5*c(u) - 4*h(u).\nAnswer: -2*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n = 41*n + 15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -2739317.\nAnswer: 1095726.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -290*z**2. Let a(d) = 272*d. What is t(a(r))?\nAnswer: -21455360*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40224\/7 - 6597079\/1148. Let r = -2\/41 - n. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 34. Let u = 69 - s. Put -1, u, 1, 3 in increasing order.\nAnswer: -1, 1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(70)*6)\/((sqrt(110)*1 + sqrt(110))\/sqrt(11)))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(1\/11))\/(j**4*j)*(j**(4\/11)\/j)**(3\/16) assuming j is positive.\nAnswer: j**(-533\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 603.1558 years in millennia?\nAnswer: 0.6031558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1739247327.\nAnswer: 3, 19, 23, 163, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 17*v + 38 = 58 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-12) - 322\/4. Let h be (-1 + c\/6)*2. Let i = h - -79. What is the highest common factor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-12) - 188\/24. What is the common denominator of -125\/36 and 438\/(-56) + 2\/t?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289.162g in milligrams?\nAnswer: 289162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i - i)*(-2 + i + 2) - 3*i**2 - i**2 + 3*i**2 - 212*i**2 + 150 - 152 + 80*i**2 + 10*i.\nAnswer: -135*i**2 + 10*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -894+-4\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*n - 2*i, 3*i + 7 = 2*n - 0. Let v(m) = 5*m - n*m - 6*m**2. Let f(c) = -2*c. Determine f(v(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 779*j - 729. Is c(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + (-1)\/(3\/(-9)). Let x be 4\/(q\/6 + 1). Solve -3*v + x = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 1, f: 3, r: 1, t: 2, e: 3}. What is prob of sequence tf?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.86 + 16. Let r = -0.2 - b. Let y = 3.64 + r. What is y rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783.6252cm in kilometers?\nAnswer: 0.007836252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/10446 and 18\/11.\nAnswer: 114906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/2 + 11*g**4\/2 - 39*g**3\/2 + 37*g**2\/2 + 20*g - 24 = 0.\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6101, -6103, -6107, -6113, -6121, -6131?\nAnswer: -6143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/7 + 50800*s**2\/7 - 318891296*s\/7 - 46979707392\/7 = 0. Calculate s.\nAnswer: -144, 12772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11541 and 53565628.\nAnswer: 160696884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 6\/23 (b) -1 (c) 78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4 - 1. Suppose 0 = b + m*b. Let k(c) = c**3 + c**2 + c + 15. Is 10 a factor of k(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 7) to base 3.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.37 + 23.37. Is o less than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18330102 to the nearest integer?\nAnswer: 4281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20313324*x**5 - x**3 - 130869151*x?\nAnswer: -406266480*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 100614, -2, -3, 355 in increasing order.\nAnswer: -3, -2, 355, 100614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.007 - 0.007. What is the nearest to 0 in d, 0.1, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzi when three letters picked without replacement from {i: 1, g: 2, z: 5, f: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -87, 475, 1987, 4923, 9757?\n\"Answer: 79*y**3 + y**2 + 6*y - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24085 + -1.\nAnswer: 24084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -6*v**2 - 10*v - 1508. Suppose -3*h - 35 = 2*h. What are the prime factors of m(h)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -241977, -483960, -725943, -967926?\nAnswer: -1209909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 7*d + 6. Let v(m) = 6*m - 12. Let j be v(6). Let s = 16 - j. What is w(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372672 divided by -1?\nAnswer: -1372672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 (base 9) in base 10?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + -96. Let z = a + 22. Let k be z\/(-6) + 2\/4. Solve 0 = d - 0 + k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -312 (base 11) to base 15\nAnswer: -1a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2246.4, 2, 0.1, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38\/75 - 1\/150. Factor 7\/6*d - 5\/6*d**2 + 1\/6*d**3 - k.\nAnswer: (d - 3)*(d - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 428 and 150?\nAnswer: 32100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 22440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 6 = 3004*r - 3007*r, -16 = 2*r + 4*x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-16)*(-152)\/38874*-31\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 10) + (4 - 4) + 1 - 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1613111746.\nAnswer: 2, 97, 8315009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.93 + 0.07. Let d = -426725 + 426724. What is the nearest to -3 in s, d, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4995 + 1428 = -123*g for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a - 4. Suppose s + 9 = -2*s, 4*s + 13 = l. Let r(u) = u - 1. Suppose f - 2*g + 23 = 7, 3*f - g + 23 = 0. What is f*r(h) + l*q(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -211012132 (base 5) in base 13?\nAnswer: -2488c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*10*2\/50.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-16)\/132*(-6)\/4 and (0 - (1 - -2)) + 3\/(-20).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/3*63\/28. Which is the smallest value? (a) r (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-20)*-2)\/((-2)\/20). Solve -2*o = -3*s + 5, -15 = -x*o - s + 3*s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/8 in -4, 3\/13, -0.1?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002737052 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**18\/o)\/(o\/(o\/o**(-15))) assuming o is positive.\nAnswer: o**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 9:11 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 272496013 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1000, -1281, -1752, -2413, -3264, -4305?\n\"Answer: -95*b**2 + 4*b - 909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 - 4*z**3 + 3*z**3 - 5*z in the form s + y*z**3 + k*z + c*z**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 - (-4 + 0 - 0)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**3 - 9*j**2 + 17*j - 8. What is the remainder when z(4) is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 342*b**3\/11 + 2950*b**2\/11 + 7184*b\/11 + 3424\/11 = 0.\nAnswer: -4, -107\/171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 755152 - 755145 - 32*f)*(2 - 3*f**2 - 2).\nAnswer: 87*f**3 - 21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -2*r - 8*i + 1014, 0 = r - 2*i - 517. Calculate the remainder when r is divided by 128.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 0, 4*k - 5*x - 10 - 6 = 0. Let b be (k\/10)\/((-1)\/(-10)). Suppose 0 = -b*w + 138 + 50. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -822599, -1645199, -2467801, -3290405, -4113011?\n\"Answer: -j**2 - 822597*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z - 2. Let q(j) = j**2 - j. What is -4*q(n) - w(n)?\nAnswer: -4*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4674110381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25\/7*y**3 - 20\/7*y**2 + 0 - 4\/7*y = 0. What is y?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -19. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405247.\nAnswer: 405247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/55 and -113\/100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 11*p - 48. Calculate i(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10732263?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 2*u**2 + 0*u)*(-1 - 2 + 2)*(8*u - 5*u + 12*u) to the form o*u + b + f*u**3 + r*u**2 and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33122301 + 213200?\nAnswer: 100002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10085*828\/(-15)*1. Let w = 14443308 - i. What is w rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24650 - 7358938204?\nAnswer: -7358913554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -39. Find the third derivative of -92*q**2 - 87*q**2 - 7*q**d + 167*q**2 wrt q.\nAnswer: -840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362134240.\nAnswer: 2, 5, 13, 151, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/(42\/30*-2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 - 92*x - 284. Calculate the remainder when n(-41) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - t**2 - 11. Let g be o(0). Which is bigger: g or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8799282, 0.6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z + 8. Let g be z\/14 + 13\/(-28). What is the third biggest value in 2, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 65, -81.\nAnswer: -81, -1, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 60*h - 288.\nAnswer: 3*(h - 24)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 484 = 2*n + 3*x, 0 = -x. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -14, -9, 0, 13?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 8*f**2 - 11*f + 19. Let s be y(9). Let o(p) = 17*p + 2. Let l(t) = 25*t + 3. Let h(u) = 5*l(u) - 7*o(u). Calculate h(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwwwwwwawwwwwwww.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4}. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**4\/12 - 8*a**2. Let f(t) be the third derivative of t**5\/12 + 2*t**2. Calculate o(f(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 500*i**2 + 24*i + 112. What is the thousands digit of k(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/5 and -51\/329.\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -25232 (b) -1\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 357*j**3 - 8*j**2 + 3*j - 2. Let z(q) = -12*q - 11. Let h be z(-1). What is the tens digit of t(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*6072.528\nAnswer: -2429.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136723.\nAnswer: 47, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6980 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113\/6955 or -1?\nAnswer: 113\/6955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 115, 232, 425, 712?\nAnswer: 1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61.2 - 61. What is the nearest to -1 in 3\/7, w, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22877122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(35)*-2*-2 + sqrt(35))*-2)\/((sqrt(5500) + (sqrt(5500) - (sqrt(5500) - sqrt(5500)*1)))\/sqrt(11)) + -5)**2.\nAnswer: 5*sqrt(7) + 107\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6787\/4 - 1721. Suppose -3*j - 24 = -2*r, 112*j + 9 = 111*j + r. Find the common denominator of (-2123)\/(-1056) - 4\/(2*j) and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108115 is divided by 1175.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 385.089.\nAnswer: -1155.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, z: 4, n: 6}. What is prob of sequence ddd?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 124 = -36. Suppose -h = -u - u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((360\/576)\/((-5)\/12))\/(90\/24)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(3) - (sqrt(24)\/sqrt(8)*4 + sqrt(3)))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 6 = -9. Suppose -44 = -u*a - a. Suppose 1 = 4*o - a, 0 = i + 2*o - 14. What is the lowest common multiple of 10 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 8. Let y = 177.18 + 1378.02. Let v = 1555 - y. Which is the smallest value? (a) v (b) z (c) -0.8 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y + 14. Let q(t) = t + 1. Give -5*q(l) + v(l).\nAnswer: -2*l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**4\/24 - v**3\/3 - v**2 + 4*v. Factor j(s).\nAnswer: -(s + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -17*y**2 - 5*y + 6. Calculate w(-3).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 equal to -24.503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -148*i + 11. Suppose -6*g + 5 + 25 = 0. Suppose 2*n - 1 = 7, -3*n + 22 = -g*c. Is b(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22749 - 22749. Put 5, x, 12, -4, 7 in decreasing order.\nAnswer: 12, 7, 5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 6 = 3*m, -4*a + 5*m - 1 - 1 = 0. Let w be 1\/((-1)\/a) + (26 - 28). Is (8 - w)\/(1*2\/86) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 58383 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(132) - sqrt(132)) + -1*sqrt(132)*-5)\/(sqrt(77)\/(sqrt(28)*-3)).\nAnswer: -96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 44*l. Let b(q) = -712*q**2 + 1386*q**2 - 685*q**2. What is f(b(v))?\nAnswer: -484*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4720 and 1840?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**5\/240 - x**4\/16 - 2*x**3\/3 + 118*x**2 + x. Factor l(i).\nAnswer: (i - 8)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.83 - -0.83. What is the third smallest value in i, -0.5, 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -257523, -257383, -257241, -257097, -256951?\n\"Answer: g**2 + 137*g - 257661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/3 and (284\/12)\/((-8)\/3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -1, 4.\nAnswer: -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-1)\/(1\/(-54)). Let b(j) = 2*j - 39. Let n be b(22). Suppose -306 + 26 = -n*t. Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 3*f + 9 + 16, 3*z - 19 = 5*f. Let o be -3 + 7\/133 + (-4)\/(-2). Is o greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*(0 + 6*(-4 + 2*(sqrt(76)\/sqrt(4) + 1)))*-2.\nAnswer: -288*sqrt(19) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 1\/5, 2, 2\/55?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**4\/24 - v**3\/2 - 7*v**2. Suppose 0 = 2*z - 12 - 28. Suppose -7*b + z = -3*b. Determine c(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 0 = m - 20*f + 19, 15 - 7 = 2*m - 2*f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from zwzzwwwwwzw.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/6 + -7\/12. Let s = -0.1 + -0.1. Let k = -299 - -304. What is the nearest to m in 0, s, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 88863318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 1\/112*h**8 + 0 - 8*h**2 + 0*h**5 - 1\/40*h**6 + 0*h + 0*h**4 + 0*h**7 + 0*h**3. Factor z(m).\nAnswer: 3*m**3*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/35 - (-19)\/(-7). Let a be i\/((-3)\/(-6)*-2). Suppose 0 = -3*k + a. Solve -z + 3*t + 15 = 0, t = 5*z - 4 - k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*o**2 - 1522*b + 2*o**3 - 124*o wrt o?\nAnswer: 4*b*o + 6*o**2 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(20)*-2)**2 + (2*sqrt(80))**2 - (-5 + 2*(sqrt(5) + 1) + (sqrt(5) - sqrt(45)\/(sqrt(9)*1)))**2.\nAnswer: 12*sqrt(5) + 2291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*x - 152740 = -63*x. List the prime factors of x.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -b + 22, 5*u - 28 = -4*b - 0*u. Suppose -6 = -5*c + b*c. Find the second derivative of 3*q**2 - q**c - q + 2*q wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -588 and 0.3?\nAnswer: -176.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 6 = 2*h, 5*b - 256 = h + 4*h - 236 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 3:28 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*z, v = -v - 3*z - 88. Let t = 28 + v. Let l be -2 + (3 + -1)\/2. What is the third smallest value in -4, l, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8206, -8198, -8176, -8134, -8066, -7966, -7828?\n\"Answer: p**3 + p**2 - 2*p - 8206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - (sqrt(405) + -5))*-6 - 2*(sqrt(405) + -5))**2.\nAnswer: 720*sqrt(5) + 2020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70818763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3183 - -45620?\nAnswer: 48813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211 - 190 = 29*p + 474 + 53 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2668696627 to the nearest integer?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 228*r**4 + 117*r**5 - 20*r**5 - 226*r**4 - 2 + 3*r**5 + 2 + (0*r + 0*r + r)*(3*r**4 + 3*r**4 - 5*r**4).\nAnswer: 101*r**5 + 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 - f**2 + 2*f + 37. Let r(g) = g**2 + g - 1. Let b(v) = 2*r(v) - w(v). What is the first derivative of b(p) wrt p?\nAnswer: 9*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -516*c + 596*c + 483*c + 1386*c + 4220*c.\nAnswer: 6169*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1142 - 0.4142. What is the second smallest value in u, -18, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849446186 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102140\/3 - 34046. Put -8\/13, 0.2, -1, v in ascending order.\nAnswer: -1, -8\/13, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -33*h - 150. Let a be m(-5). Let u be (-2)\/(-15)*-3*a\/(-39). Determine o so that 32\/13*o - u*o**2 - 128\/13 = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412526781?\nAnswer: 3, 23, 1992883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 40702, 457?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/15393 and 11\/6157200.\nAnswer: 6157200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t + 60. Let j = -12 - t. Let h(w) = w**2 - 2*w - 4. Let i be h(j). Which is smaller: i or 1\/23?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -197*f**3 + 5*f + 4. Let r be k(-1). Find the common denominator of 4\/(384\/r) + 1 + -2 and 37\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4254*r + 4311*r + 40912*r + 15363*r.\nAnswer: 56332*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323*c**2 + 8*c - 240*c**2 - 882*c**2 - 8*c.\nAnswer: -799*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w + 20*w + 401*w**3.\nAnswer: 401*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*s + 3484 = 0, 93*o - 6974 = 91*o - 5*s. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/263668 and 15\/527336.\nAnswer: 527336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8112 is divided by 792?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 972430 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 126 = -b - 301, 0 = -5*s - 4*b - 520. Let m = s - -111. Solve 0 = m*k + 4*l - 7, -2*l = 5*k - k + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*x - 388, -4*f + 13 - 705 = 5*x. Which is the second smallest value? (a) 0.4 (b) -1\/5 (c) x (d) -10\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 522577658 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 355 and 426?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r - 7*r = -391. Let s(f) = -4*f - 4*f + 1 - 6*f + r*f - 2*f. Let g(c) = 4*c + 11. Give g(x) - 6*s(x).\nAnswer: -2*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 6*h - 6. Let m be b(4). Let z(w) be the second derivative of -1\/12*w**4 + 0*w**m + 0 + 0*w**3 - 2*w. Let v(p) = -2*p. Give v(z(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(6\/(-3)) + -2. Suppose c*k - 16 = -k. Solve 0 = -4*u + k*w + 8, -3*w - 5 = -2*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -5 (b) 2\/11 (c) -1.5 (d) -28235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 2*b**3\/45 - 11*b**2\/5 + 64*b\/15 + 4933. Suppose k(q) = 0. What is q?\nAnswer: 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 229*m - 94 = -110*m - 117*m, 69 = 3*d + 3*m for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (252\/3)\/(-4)*(-19)\/19\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*y - 5*t + 5, 4*y + 2*t = 34. Suppose l = 3*i + 11, 4*l = 5*i - y + 46. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 11*u = 15. Suppose a = 0, 0*a + 360 = u*p - a. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 787 + -270?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/24 and -14\/11373.\nAnswer: 90984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1556 is divided by 243\/81*((-41)\/3)\/(-1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44\/5 bigger than 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.3 (b) 2268 (c) -381\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 17. Let j = -577 - -576. Calculate the remainder when (-121 + j)*-1*g\/6 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79628.94 millilitres in litres?\nAnswer: 79.62894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -653381515 or -653381516?\nAnswer: -653381515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 64\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -5*w**4\/12 - w**2 + 145*w. Let r(f) = -14*f**2 + f - 6. Give -8*o(u) + 3*r(u).\nAnswer: -2*u**2 + 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k. Let g(v) = -93*v**2 - 15*v - 1. What is p(g(s))?\nAnswer: 465*s**2 + 75*s + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.8 - -27. Let u = a - 8. Let o = 3 + -3.1. What is the closest to -0.2 in o, 0.3, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from {d: 4, t: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1200)*-3.\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/11))**(-25)*c**(-3\/2)*c\/(c**6*c))\/(c\/(c*c*c\/(c**(1\/14)\/c)*c)*c*c*c*c*(c*c**7)\/c)**(1\/4) assuming c is positive.\nAnswer: c**(-2909\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999351?\nAnswer: 3, 37013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 - 1 - 3*b + 5*b + 2 - 3*b - 24*b**2 as p*b + a + k*b**3 + w*b**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15094 or -7187?\nAnswer: -15094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 3644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 4:56 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4982c (base 14) to base 9\nAnswer: -303774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.6037 * -0.821.\nAnswer: 2.1376377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 - 393*d**3 - 37615*d**2 + 196413*d - 158404.\nAnswer: -(d - 4)*(d - 1)*(d + 199)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 0*k**2 - k**3 + 5*k - 3*k - k**2 + 3. What is h(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + c + 3*c - 8, 2*z - 8 = -c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/7)\/d)**2)**(2\/73) assuming d is positive.\nAnswer: d**(-36\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3546 = 60*g + 3366. Solve g*s - 9*x = -12*x + 3, 4*x = -s + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64\/5 - 144\/5*p + 4\/5*p**4 + 112\/5*p**2 - 36\/5*p**3.\nAnswer: 4*(p - 4)*(p - 2)**2*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1588*q**3 - 5926*q**2?\nAnswer: -9528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-102)\/2040 + (-84)\/(-80). Sort q, 3, -4, 0, 2 in ascending order.\nAnswer: -4, 0, q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, o: 4}. Give prob of sequence eo.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -16*l**2 - 5314*l + 4824. What is o(-333)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 380 + -265. Let w be i\/(-5) + 2\/(-2). Let n = w + 48. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000027893 to 7 dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x**(-15\/7)))*x\/(x\/(x*x*x*x**22)*x*x*x*x)*(x**(-2))**(-1))**(-6\/5) assuming x is positive.\nAnswer: x**(-918\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-2) - -3*(-27797)\/45318. Let h = j + -1\/166. Factor -h*i**2 - 18\/13 + 12\/13*i.\nAnswer: -2*(i - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4715 is divided by 277?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 3. Let a = 41 - 58. Let l = a + 18. Sort l, -0.5, s in descending order.\nAnswer: s, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -967855*t + 1203983 wrt t?\nAnswer: -967855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 141*n**2 - 16*n + 3. Let l be a(1). What is the highest common factor of l and 3456?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12848 is divided by 623.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 - 4*k + 5. Let w(r) = -4*r**2 - 7*r + 9. Let v(c) = 3*w(c) - 5*y(c). Let m(n) = -3*n - 28 + 10 + 4*n + 3*n**2 + 14. What is 3*m(d) + 5*v(d)?\nAnswer: -d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/995290 and -15\/28?\nAnswer: 13934060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 16*u + 306. Let z be a(-56). Suppose l = z + 4193. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.8 - -12. Let n = 0.2 - q. What is the closest to n in 0.1, 2, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2519 - 95?\nAnswer: 2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/((g\/(g**(-4)\/g*g))\/g*g))*g*g*g)\/g**(3\/4)*(g\/g**(6\/11))**(-14\/11) assuming g is positive.\nAnswer: g**(3713\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 1\/9, -2, -1473?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127715?\nAnswer: 5, 7, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11008\/5 - 2202. Let o = -16 + 6. Which is the second biggest value? (a) -3 (b) o (c) h (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/12*36\/(-24).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 52 + 88, 9*f + 343*f - 12*g - g + 189 = 553 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**6\/60 + d**5\/20 - d**4\/24 + d**3\/6 + 31*d**2. Calculate t(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0 = -16. Let q = 5 + m. Solve q = 2*z - z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -24*a**5\/5 + 95*a**3 + 563*a. What is the second derivative of k(c) wrt c?\nAnswer: -576*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3157b (base 14) to base 12.\nAnswer: -58ab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 5*f - 40, 5*f = 3*m + 125 - 91 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 22 (c) 380\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 15 = 0, 18 = -5*r + 6*r - 4*v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = 0, 5*h = 3*g - 5 + 29. Let t be 1\/4*2*-2. Let r be (2\/4)\/(t\/(-4)). Solve r*b = -b - h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q**3 - 6*q**2 + q - 5. Suppose -j + 2*j + 4 = 0. Let d(y) = -3*y**3 - 3*y**2 - 2. Let k(r) = j*i(r) + 10*d(r). Let k(a) = 0. Calculate a.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -29*i**6\/30 + i**4\/6 - i**3\/3 + 12*i**2 - 51*i. Find the second derivative of d(c) wrt c.\nAnswer: -348*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 13*k - 8*k + 19, 2 = 2*k - 2*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 604 - 601. Solve -5*m + 10 = v*t, -m = -t - 12 + 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/65)\/(4\/10*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 divided by 6.\nAnswer: -103\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 3:09 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -0.4 (c) 4598\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 12:30 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 12:39 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 490.6 and 41.239.\nAnswer: 531.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 n when three letters picked without replacement from wndnqawkqndqnqqdnkn.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19494841 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + 3 + -7 + 11. Find the third derivative of -43*l + 5975 + 2*l**c - 5975 + 9*l**3 wrt l.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/2 of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4849.783816 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbtbtxbddbdrtbtbxb. What is prob of picking 1 x and 1 t?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2592 and 512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (9723*p + 932*p - 2393*p)*(1 + 2*p - p + 3*p)*(-1 - 4*p + p**2 + 4*p) as m*p + j*p**2 + d + i*p**4 + f*p**3 and give m.\nAnswer: -8262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*k + 310 = 141*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4233*s**4 + 898*s**3 - 799549*s**2 wrt s?\nAnswer: -101592*s + 5388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -2*l + 6, 0 = 4*k + 833*l - 828*l - 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-120)\/(-28) - 4\/14. Suppose 2*p - 3*p + 1 = -w, -2*p = -q*w + 2. Is 3 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5*g + 9*g = -11, 0 = -4*l - 4*g - 16 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 12*i + 6*i - 21*i.\nAnswer: -3*i - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 24*k + 2. Let i be g(-24). Solve -5*q + i*q = 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/36 and 79\/1305164.\nAnswer: 11746476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 5*k + k)*(-24*k - 221 + 221) - 10*k**2 + 10*k**2 - 6*k**2.\nAnswer: 66*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 89 times -23712\nAnswer: -2110368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 28028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*i + 5*r, 0 = r - 3*r + 6. Let q(a) = 3*a - 116. Let s(n) = 6*n - 232. Let d(h) = 7*q(h) - 4*s(h). Does 39 divide d(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 13 + (-9 - (-7 + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -420.9 - -440. Let d = t - 19. Which is the closest to d? (a) 1 (b) 3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 11 - 1. Let u be l\/8 - 6\/(-24). Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211350914?\nAnswer: 2, 73, 1447609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-930)\/(-775))\/(((-6)\/(-20))\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**3\/3 - 6*b. Let x(c) = -20*c. Give x(o(l)).\nAnswer: 40*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/12*-2 - -2)*936\/351. Solve -c + z = 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79432080 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 m, and 1 s when three letters picked without replacement from mdmssssmxs?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 15*g + 9. Let a(p) = -4*p - 2. Let i(h) = -9*a(h) - 2*v(h). Let j = 50 + -37. Let z(n) = -10*n - 11*n - j*n + 30*n. Calculate z(i(u)).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (12838\/(-2751))\/((-868)\/(-30))?\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 353349894 and 2217.\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10219 divided by -929\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (1*sqrt(192) - sqrt(192)) - (sqrt(192)*1 + 4)) + (-4 + 1*sqrt(192) - sqrt(192) - 5*(sqrt(192) + 1)))*-1*1.\nAnswer: 14 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*z. Suppose -12*o + 2*o + 120 = z. Suppose 3*j - 5*j - 5*a = -13, 4*a - o = 0. Do j and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569770?\nAnswer: 2, 5, 227, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 - (4 - 0 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-8)\/91510*(-425)\/170) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*m - 5)*((-1 - 2 + 1)*(2 + 1 - 5) - 2 + 1 + 0 + (-1 + 4 - 4)*(13 + 5 - 5)) + (m - m + 2*m)*(2 - 15 + 0).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 663228 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619*g**2 - 210*g**2 - 39*g**2 + 374*g**2 - 698*g**2.\nAnswer: -1192*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451093 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*o = -16, -2*x + 3 = x - 3*o. Let b be -3 + 5 - 5 - -15. Calculate the highest common divisor of x and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.35 * 5272\nAnswer: -1845.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -958*q**3 - 240*q**2 - q + 3. Let u(f) = -3833*f**3 - 963*f**2 - 4*f + 13. Let k(m) = -3*u(m) + 13*v(m). Find the third derivative of k(t) wrt t.\nAnswer: -5730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -5, -37 in decreasing order.\nAnswer: 5, -2, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9747121*g**3*i - 103202856*g**3 + 3*g**2*i wrt i?\nAnswer: -9747121*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 182 + -186.4. Is a less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 765 + -515. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-21)*q**(2\/15))\/((q\/(((q\/(q\/(q**(-32)*q)))\/q)\/q))\/q)**(-24))**3 assuming q is positive.\nAnswer: q**(11582\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 560*o - 560*o + 28*o**3 + (2 + o - 2)*(-2*o + 2*o**2 + 2*o) - 2*o**3 + 2*o**3 + 2*o**3.\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7356 - -42847. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 200209814*x**4 + 36*x**2 + 97282?\nAnswer: 4805035536*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 6*k**2 - 15*k - 8. Suppose -8*t + 12 = -2*t. Suppose -l + 2 + 0 = 0, -8 = t*f + 3*l. What is the hundreds digit of c(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + (0 + -8 - -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58502 = 154*t - 2404631 + 277103. Is t a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 - -201.0066?\nAnswer: 200.8966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.46 + -19.46. Let o = -15 - t. Let i be -1 - 6*(-2)\/10. Which is the nearest to i? (a) 0.1 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 + 2*i**2 + 5*i + 7. Let k(g) = -4*g**3 - 5*g**2 - 11*g - 16. Determine -4*k(j) - 9*x(j).\nAnswer: -2*j**3 + 2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -393, -550, -689, -804?\nAnswer: -889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 9*p**2 + 2*p - 11. Let h(w) = -w**3 + 9*w**2 + 53*w - 12. Let i be h(13). Let m(f) = 7*f + 6*f - 4*f. Let t be m(i). What is s(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 4*l - 92. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*b - 16 + 149. Suppose -24 = b*r - 59. Let m(h) = 3*h + 5. Let x(c) = 1. Suppose 15 = -5*l + 2*a, -l - l + 23 = 5*a. Give l*m(i) + r*x(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61.7 - 62. Which is the nearest to 3\/23? (a) 4\/5 (b) -0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 0 - t**3 + 1 - 1 - 1. Let p(o) = 2*o. What is h(p(y))?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*i - 26 = -3, -g = 4*i - 19 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**8\/672 - o**7\/168 + o**6\/144 + 7*o**4\/24 - 7*o**2. Let d(q) be the second derivative of r(q). What is p in d(p) = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -59*l**4\/4 - l**3\/3 + 9*l**2 - 11*l. Let t(j) = j. Determine m(t(s)).\nAnswer: -354*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1233757.58 to the nearest 1000.\nAnswer: 1234000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8770 + 8769.992605. What is b rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5 + 20 = 0. Put 4, 1, y in descending order.\nAnswer: 4, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:12 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -125 + 125 - 12*i**5 + (2*i**2 + 2*i**2 + i**2)*(2*i**3 + 3*i**3 - 4*i**3) + (1 + 2*i**2 - 1)*(2 - 2 + 2*i**3) - 5*i**5 + 0*i**5 + 2*i**5.\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366286, -366775, -367264, -367753, -368242?\nAnswer: -368731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 6:08 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -151.7 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3 (b) 0.1 (c) -0.3 (d) -0.6 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 297 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 10*v = 2*x + 4, 0 = 5*x + 2*v + 31 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -146.8 + 146.800000046. Round m to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/45*15\/100)\/(-1)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0 = 12. What is the units digit of w*(-2 + 3\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/11705 and 16\/54697465.\nAnswer: 54697465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**5\/20 + 5*d**4\/12 - d**3\/6 + 5*d**2\/2 - d. Let b be c(5). Let x = 23 + b. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25674876 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 7*b + 8. Let x(a) = a**2 + 6*a + 8. Let d(h) = -5*i(h) + 4*x(h). What is the units digit of d(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {w: 1, g: 4, b: 4, m: 4, u: 2, v: 4}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 8 - 5 - 11*h**2 + 3*h**2.\nAnswer: -8*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5025 is divided by 2182?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - p - 209*p**3 + 7*p**2 + 2 + 208*p**3. Let i be q(8). Let z be (-8)\/i + 10\/15. Put z, -1, -3 in decreasing order.\nAnswer: z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000050276 to six decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2862, -11484, -25854, -45972, -71838, -103452?\nAnswer: -140814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a hour in seconds?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2884*y + 703 = 3421 + 166 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8794 - -8788.981. Let f = -5 - v. Let p = f - 0.01899938. What is p rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o - 30. Let v be s(-11). Solve 3*m + 4*h + 7 = 0, 0 = -h - v - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6494\/816865 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 12:27 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4130\/21830)\/((-133)\/95)\nAnswer: -5\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:34 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l*l*(l**10*l)\/l))*l*l\/((l\/(l\/(l**(2\/17)\/l)*l*l*l))\/l*l))\/(l\/l**(5\/2)*l**(-8)) assuming l is positive.\nAnswer: l**(965\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000416 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18, 75, 168, 297, 462, 663?\n\"Answer: 18*b**2 + 3*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2338, 2139, 1778, 1249, 546, -337, -1406, -2667?\n\"Answer: -i**3 - 75*i**2 + 33*i + 2381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -12 - 9. Suppose 2*w + 215 = u*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.539 + 0.039. Sort -0.4, g, 5, -13.\nAnswer: -13, g, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7929 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 186*l**3 - 2613*l**2 - 8144*l + 10944.\nAnswer: -(l - 1)*(l + 8)**2*(l + 171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*r - 54, v = -r + 3*r + 10. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*x = 6*u - 1600, -325 = -u - 2*x. Suppose -y = i - u, i + 931 = 4*i - 4*y. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1043973 (base 10) to base 11\nAnswer: -653397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -14*z**3 - 26*z**2 - 42*z + 11. Give n(-5).\nAnswer: 1321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1c0 (base 15) to base 2\nAnswer: -110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85799 + 131725. What is the thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -314, -631, -954, -1289, -1642, -2019, -2426?\n\"Answer: -o**3 + 3*o**2 - 319*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 236937018.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21529 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26311?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 13) to base 5.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 27.44596 millilitres?\nAnswer: 0.02744596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 14 = 3*j, 3*j - 103*a - 30 = -106*a for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13535, -27073, -40611, -54149, -67687?\nAnswer: -81225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0.2 (b) 1 (c) -3 (d) -14.4 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((0\/6)\/(0 + 2))\/(-2). Put -4, v, 2, -6 in descending order.\nAnswer: 2, v, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1553, 1\/605, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/6 + (-7)\/(-42). Solve -r - v - 1 = 0, 0*r + y*r - 3*v = -3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98142 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -32*r + 665. What is b(28)?\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 2)*-2 - (sqrt(117) + 4*sqrt(117))) + 0 + (sqrt(468) + (4*(sqrt(468) + sqrt(468) + 0))**2 + -3)*-1.\nAnswer: -29953 - 23*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3252, -6474, -9696, -12918?\n\"Answer: -3222*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6145169299.\nAnswer: 17, 223, 1620989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*j - 44*j + 56 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8822 - 7189. Calculate the highest common divisor of x and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19761 rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**2 + 26 - 2*y - 13*y**2 + 4*y**2. Let o be l(-6). Solve -3*j = o*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291331987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovao when four letters picked without replacement from {l: 2, v: 5, u: 1, a: 1, o: 3, d: 1}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740638801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -94, -126, -158?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 0.4 (b) -0.3 (c) -1.9 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 + 97 = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -181\/870 - -6\/145. Let k = -0.6 + -0.4. Let g = k - -0.9. Which is the second biggest value? (a) g (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 243*t + 2. Let n(s) = 63*s**2. Calculate n(c(w)).\nAnswer: 3720087*w**2 + 61236*w + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -38. Calculate the common denominator of (1 + n\/(-16))*(-17)\/(-2) and -68\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*n + 5 + 70*n + 90*n - 3.\nAnswer: 6*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 452 + -449. Let g(n) = -n**3 + n**2 - n + 4. Let l be g(0). Solve v = -x + l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 358151 and 5013?\nAnswer: 3223359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-8) + 498\/664. Let x(j) = -6*j**3 + 3*j**2 - 4*j - 3. Let b(u) = 7*u**3 - 4*u**2 + 5*u + 4. Calculate w*b(r) - 4*x(r).\nAnswer: 3*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2586747*g**2 + 954*g - 3740 wrt g.\nAnswer: -5173494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000491 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 1072.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12) + 1*sqrt(12) - sqrt(12))*2 + sqrt(12) - (sqrt(12) + sqrt(108)\/(sqrt(27)\/sqrt(3))))\/(sqrt(44)\/(sqrt(22)\/(sqrt(2)*-2 + sqrt(2)))))**2 + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*u = 25, 17 = -3*l + 2*u + 2. Let d(n) = n + 2. Let a(t) = t**2 - 3*t - 5. Calculate l*d(f) - 2*a(f).\nAnswer: -2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 12 + 5 - 13)*(-2*d**2 + 9*d**2 + 0*d**2).\nAnswer: -112*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 864997 - 864996.7900004. Let s = m - 0.21. What is s rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -382 * 4.\nAnswer: -1528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10376466+32474183\nAnswer: 22097717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 260745665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 21*q + 605. Let g be z(-31). Let m = -20 + 100. Let k = m + g. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1441 + 1440.7. Which is the second biggest value? (a) -14 (b) 5 (c) 1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/525*(-42)\/(-45).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -24. Let g = j + -1. What is the third derivative of 4*x**2 + 7*x**3 + 3*x**g - 2*x**3 wrt x?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86920.\nAnswer: 2, 5, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.747 - -14.253. What is the nearest to 0 in -4, -2\/3, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2344 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-300) - (-1467)\/30. Solve -71*b - 110 = -z*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*281713\nAnswer: 281713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**4\/3 - 490*t**3\/9 - 7564*t**2\/3 - 7442*t\/3 - 3017. What is l in k(l) = 0?\nAnswer: -61, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1506 and 19538.\nAnswer: 29424228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10845400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602637.665 rounded to the nearest 10000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-8)\/4 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 9276860*z + 10757516432450.\nAnswer: 2*(z - 2319215)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 433360 by -8.\nAnswer: -54170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**17*x*x))\/x*x**(2\/11)\/x)**44 assuming x is positive.\nAnswer: x**(-872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 94 = -4*a, 4*a - 5*i + 413 = 542. Solve a*y + 13 = 91 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -11*v + 7*v. Suppose -10*n + 784 = -v*n. Suppose -4*b = 4*a - 496, 4*a - 4*b + n - 716 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -17. Let u be 22\/77 - 3\/r. Let j = 0.3 + -0.2. Put 0.3, u, j in decreasing order.\nAnswer: 0.3, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 0 - 3*j + 2*j**2 - 2\/3*j**3 + 1\/12*j**4. Factor p(y).\nAnswer: (y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.26, -3, -51, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 divided by -3123679?\nAnswer: -289\/3123679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnn. Give prob of sequence nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**4 - 129*k**3*l + 2*k**2*l + 4*k*l + 6*k + 2 wrt k.\nAnswer: 12*k**2 - 774*k*l + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18337 = 27*l - 1008545 - 935856. What are the prime factors of l?\nAnswer: 2, 19, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 529760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 2)*2*1. What is the first derivative of -295*y**3 - y**x - 11 + y**2 + 299*y**3 wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -884*q**3 + 5*q**2 - 264*q - 814. List the prime factors of b(-3).\nAnswer: 7, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22, 31, 46, 67, 94?\n\"Answer: 3*a**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 4482.\nAnswer: 8964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7\/((-21)\/(-34)) - 12 - (-1583)\/3 and 19?\nAnswer: 10013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1179 - 8148658.1793.\nAnswer: -8147479.1793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.9 - 4.869. Round o to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1208, 1210, 1212, 1214, 1216, 1218?\n\"Answer: 2*c + 1206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 2*r**2 + 4. Let h be x(-2). Suppose t = h*t - 75. Let s = t + -10. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3150 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -1)\/(10\/(-140)). Let s = g + 34. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 9. Let g be h(-5). Suppose 0 = g*t + 5 - 21. Solve -a - j = 4, -a + t = 4*j + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((0 + sqrt(5))*-4 - 3*(sqrt(5) + 3))**2.\nAnswer: 126*sqrt(5) + 331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/((-14)\/(-4) + -3). Let w = -10 - j. Let m be 7*((-4)\/14 - -2). Solve -4*k + 0*k - m = w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -11*j**2 - 625*j + 119. Let c be v(-57). Let d be (1\/1 - 1) + 2. Solve -3*z = -d*u + 15, 3*z + 27 = c*u - z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1142 - 233?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(297) + sqrt(297)*1 + sqrt(297))*5)\/sqrt(11))**2.\nAnswer: 6074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -149, -345, -621, -977?\nAnswer: -1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/4 + 7)\/(2\/(-4)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11600791 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*m + 10263 = 9470 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30891649 and 856?\nAnswer: 247133192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(3\/14)*g**9*g*((g\/((g**(5\/7)\/g)\/g))\/g)\/((g\/g**(-32)*g*g)\/g) assuming g is positive.\nAnswer: g**(-307\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 503848 take away -1?\nAnswer: 503849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 3:44 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + 2*m + 1. Let c(a) = -a**3 - 6*a**2 + 20*a + 5. Let v(n) = n**2 + n - 1. Let r(x) = c(x) - 6*v(x). Let o be r(-13). Give p(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80257931 to the nearest integer?\nAnswer: 8959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, -1\/4.\nAnswer: -3, -1\/4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9)\/(z*z**(-7)*z*z)*(z*z**7*z)\/(z**(4\/5)\/z))\/((z**1)**(21\/4)*(z*z**4*z)\/z**(-1)) assuming z is positive.\nAnswer: z**(211\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 2*o**2 + 2*o - 3. Let x be l(-3). Suppose 0 = -29*b + 27*b + 6. Suppose 0 = -b*z + 67 - 52. What is the nearest to 1 in 1\/2, x, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 1.9. Let n = v - 1.2. Let z = -0.05 - -0.45. Sort n, z, 3\/4 in ascending order.\nAnswer: n, z, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 0*n**2 + 21*n - 10\/3*n**3 + 0 + 5\/4*n**4. What is the second derivative of r(b) wrt b?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 9. Let z be a(12). Solve -2 = -z*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*r - 115*r - 309 = 4*l, -3476 = -l - 57*r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 90 in ascending order.\nAnswer: -6, -4, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 0*m - 4*m**2 - 2\/33*m**3 + 31\/132*m**4 - 1\/22*m**5 - 7. Factor p(n).\nAnswer: -2*(n - 2)*(15*n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -44. Suppose m - 7*x = -10*x + 8, m - 5*x + 8 = 0. What is the remainder when l\/(-27)*(-39)\/m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*i = -39*i + 80 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.233 + 25.733. Put 8526, -0.1, k in descending order.\nAnswer: 8526, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 0. Suppose -4*b + 7 - d = 0. Let x = 3 - 1. What is the greatest common divisor of b and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.166 * 0.058.\nAnswer: 0.067628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 912005911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57 + -d36?\nAnswer: -cbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3714737\/4 or 928684?\nAnswer: 3714737\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1313, -1333, -1365, -1415, -1489, -1593?\n\"Answer: -n**3 - 13*n - 1299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/80)\/(6\/8).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -19. Let h(v) = -3*v + 1. Let n(d) = 5 - 1 - 41*d - 4 + 37*d + 1. Determine r*n(s) + 5*h(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1321\/1007?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-126)*14589\/(-6). Let i = -464 - d. Let z be -3 - ((-125)\/15 - -6). Put -1, i, z in increasing order.\nAnswer: -1, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77183 + -54908. List the prime factors of d.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -271, -40 in increasing order.\nAnswer: -271, -40, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5a - 66d?\nAnswer: -6c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8*h. Let w(b) = 3*b + 8. Let m be (6 - (-4 - -4))\/(3 - 1). Let l(g) = 2*g + 6. Let k(c) = m*w(c) - 4*l(c). What is p(k(n))?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/2 of a day?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 15*t**7\/28 + 4*t**6 - 103*t**5\/4 - 20*t**4 + 625*t**3\/12 - 30*t**2 + 1562*t. Determine g, given that a(g) = 0.\nAnswer: -8, -1, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -125, -117, -83, -11, 111, 295?\n\"Answer: 2*k**3 + k**2 - 9*k - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 1\/4, 1, 0.3, 6, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 278920 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1955 divided by 5\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9868297, -9868205, -9868113, -9868021, -9867929, -9867837?\n\"Answer: 92*c - 9868389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.243575 to 2 decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -2 + 13\/2)*6. Calculate the greatest common divisor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 15*k = -25, 0 = 4*z - 2*k - 59082. What are the prime factors of z?\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.04 (b) -0.5 (c) 0.16 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 8*j + 15*j - 47 - 60, -23 = -v - 3*j for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37156*l**5 + 55*l**3 - l**2 + 26*l + 6070 wrt l.\nAnswer: 2229360*l**2 + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 558679 at most as big as 558679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 2 - (-15 + (-1 - 3)). Which is smaller: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -789*l - 1531*l - 475*l + 557*l - 1140*l.\nAnswer: -3378*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*s + s = 72, 4 = 2*s. Suppose 15*g = -16*g - 3224. Let y = g + 256. What is the greatest common factor of c and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -119*b**2 - 11*b + 53. Give y(4).\nAnswer: -1895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + x. Let c = -2655 - -2650. Give p(c).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/(-112) - 45\/7. Let y(a) = -a**2 - 5*a - 1. Give y(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4278\/21 + 12\/42. Let f(o) = -41*o - 19 - i*o - 59*o. Is f(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 32*m - 22. Let f be b(-17). Let t be 6\/(-26)*f\/(-26766). Let z = -2107099\/193310 + t. Calculate the common denominator of 23\/4 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/56)\/(9\/(-96)) - -71.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(((-10)\/(-20))\/(121\/44*(-2)\/(-1)))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175063.59 milliseconds to minutes.\nAnswer: 2.9177265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -55. Let i(y) = -y**3 + 6*y**2 + 3. Let p be i(6). Let x be 7 - 3*(p - 2). Calculate the highest common factor of x and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*k - 14*z + 15*z, z + 31 = -5*k. Which is the biggest value? (a) 2\/11 (b) 22 (c) -3 (d) k (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 835 + -835.068. Let m = w + 4.068. Let n = 4.6 - 5. Which is the third biggest value? (a) 0.7 (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15173 + -8976. Suppose -4866 = -37*f + a. Is f at most as big as 300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 3\/2 + (-479120018)\/(-4) + -3. Round b to the nearest one million.\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**6\/21 + 2*a**5\/35 + a**4\/7 + 13. Factor g(d).\nAnswer: -2*d**3*(d - 2)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (511*j + 332*j + 5494*j + 314*j - 766*j + 1838*j)*(3*j**2 - 2*j**2 - 2*j**2).\nAnswer: -7723*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1253\/(-1253)*(-236)\/(-4)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4965 != -4961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 2. Suppose -4*m + 8 = 0, 4*m = -4*b + m - 6. Sort a, b, 4\/5 in ascending order.\nAnswer: a, b, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 52. Let u be 5 - ((-22)\/2 + 16). Which is the third smallest value? (a) u (b) -2 (c) i (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n + 5*s = -30, 30 = 4*n + 5*s. Let t = n + -10. Suppose 6*j - 3*j - 24 = t. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 2*n + 64528*n**3.\nAnswer: 64528*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*c)*(152*c**3 + 18 - 18).\nAnswer: -456*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-2436)\/(-140))\/((-36)\/40))\/((-3)\/18*2)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1173)\/(-69) + (-34)\/2. Let y(x) be the third derivative of 0 + 1\/18*x**3 + 5*x**2 - 1\/360*x**5 + 1\/144*x**4 + k*x. Factor y(c).\nAnswer: -(c - 2)*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**6))\/p)\/p*p**(2\/19)*p*(p**(-1)\/p*p)**(3\/20) assuming p is positive.\nAnswer: p**(1883\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/m**(-2\/55))**36 assuming m is positive.\nAnswer: m**(6012\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*s + w = 716512, 5*s - 4*w = -1194196. Let b = s - 731164. What is b rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 54?\nAnswer: 5\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65 - (-18 + 5 - 12)) + -9?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 6*o + 24. Let b be u(-10). Let t = b - 61. Solve -t*h - 5 = -5*m - 11, 0 = -2*m - 2*h + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(891) + 0 + -3)**2 + (1 + sqrt(891))**2*-1 + -2 + sqrt(891) + -1 + sqrt(891).\nAnswer: -2695 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396469.\nAnswer: 211, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 17260 = -152. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 10:59 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + -6*(1 + sqrt(80)) - (3*sqrt(25)*2)\/(sqrt(15)\/(sqrt(3) + sqrt(48) + sqrt(3)))).\nAnswer: -60*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 12 (c) 2.3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 242, 392, 542, 692?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v**4 - 4*v**3 - 5*v**2 + 4*v - 4. Suppose 4 + 4 = 2*y. Let j(p) = -p**4 + p**3 + p**2 - p + 1. Let s(h) = y*j(h) + m(h). Factor s(f).\nAnswer: f**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1407 - -4?\nAnswer: 140b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -0.1944.\nAnswer: -0.005832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 54, -274.\nAnswer: -274, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4464 + 6?\nAnswer: 446a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*l - 36, 5*l + a - 39 = 2*a. Suppose -101*y - 16 = -105*y. What is the remainder when (-4)\/(-18)*-3*(-282)\/y is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 270574 divided by -2\nAnswer: -135287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5179495\/66 - -78479. What is the common denominator of g and 97\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -138 - -d?\nAnswer: -12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9445*z + 549675 = 2116*z for z.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15794 or 15792?\nAnswer: 15792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -4 (c) 0 (d) 0.7 (e) 141 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6800956mm?\nAnswer: 0.0006800956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((6*sqrt(135))\/sqrt(5))\/sqrt(9).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38809*u**3\/6 + 523429*u**2\/2 - 3518724*u + 15725160.\nAnswer: -(u - 15)*(197*u - 2508)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((9\/6)\/(-3)). Solve -6*j + 2*j = -4*f, c = 3*j - 2*f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**2 + 55904*j + 111*j**2 - 7*j**2 - 55904*j.\nAnswer: 90*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a. Let z(w) be the second derivative of -w**3\/3 + 4*w. Determine z(b(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a - 4. Let s(j) = -j - 1. Let b(n) = -3*k(n) + 12*s(n). Let x be b(-1). Factor 0*g - 1\/4*g**2 + 0 + 1\/4*g**x.\nAnswer: g**2*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.12, 0.4, 439\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2358*f = 260658 - 232362 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -386 - -23656?\nAnswer: 23270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2833529.699495 - 2833521. Let i = -18.43 + 27.13. Let c = i - b. Round c to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 108, 216, 324, 432, 540?\n\"Answer: 108*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*w + 6, 14 = z + 2*z + 4*w. Let a = 6 - 1. Calculate the remainder when a is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -74333, -74332, -74347, -74390, -74473, -74608, -74807, -75082?\n\"Answer: -2*y**3 + 4*y**2 + 3*y - 74338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166 - -298. Let k be (-597)\/(-7) + 10\/(-35). Let x = n - k. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88200879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2639235 (b) -0.2 (c) -20\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 540a - 2e?\nAnswer: 53cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t. Let j be b(-2). Suppose 11 = a - f, -a + 4*f + 11 = -15. Suppose -2*q = q + a. Sort j, q, 2 in descending order.\nAnswer: j, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 + -79. Let q(a) = -14*a**3 + 2*a**2. Let g(b) = -b**3 - b**2 - 1. Let m(j) = h*q(j) - 2*g(j). Find the first derivative of m(n) wrt n.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10051 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: Is -203\/9 at most -3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, b: 1, t: 1, m: 1, n: 1}. What is prob of sequence tme?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1029 - 21619\/21. Find the common denominator of o and -61\/5430.\nAnswer: 38010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 1.3. Let j = 5.1 + m. Let k = 1 - j. Which is the second biggest value? (a) k (b) 5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*26\/(-165) - 4\/(-6). Which is smaller: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**5 - 6*x**5 - 4*x**2 - 10*x**5 + 5*x**5 wrt x.\nAnswer: -540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5115)\/(-6) - (0\/4 - (-39)\/(-26)) is divided by 86?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**3 - 4*t**2 - 2*t + 4. What is the remainder when m(-3) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -109*j. Let z(q) = -3737*q. Give y(z(u)).\nAnswer: 407333*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.3 + -22.3. Let y = s - -17.72. Let w = -0.145 - y. What is w rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*b = -75, -5*g - 4*b + 87 = -0*g. Let r be ((-40)\/g)\/(1\/(-3)) + -3. Put -4, r, -3, 2 in decreasing order.\nAnswer: r, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, k: 17}. What is prob of sequence kg?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 5:56 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w = 25. Solve 0 = -0*i - w*i + 5*a - 20, -i - 12 = -5*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 34 = 2*r. Let u = 54 + r. What are the prime factors of u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4.1. Let v = 11490 - 11494. Which is the smallest value? (a) v (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-9)\/(-6)))\/(20\/(-15))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.05771 * 0.5\nAnswer: -0.028855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-4)*12\/165. Let y = 3\/5 - 4\/5. Let u = 15\/14 - 23\/14. What is the nearest to -1 in y, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40053 (base 6) to base 11.\nAnswer: -3a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 8. Let r = -1 + -4. Which is the second biggest value? (a) r (b) n (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-165)\/(-108)) + 2 + 109 + -103?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(8)*1 - (sqrt(8) + sqrt(392)*4))\/(sqrt(256)*-1 - (sqrt(44) - (sqrt(44)*2 - sqrt(44)))\/sqrt(11)))**2.\nAnswer: 169\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.28\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 2. Let y(r) = -3*r**2 - 5. Suppose 3*k - 25 = -7. Suppose 2*n - 35 = -5. Let a(i) = k*y(i) + n*l(i). Let q(h) = 2*h**2. Determine a(q(o)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659 + 8078 = -333*b + 412 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0 - 114. Let k be (-7 + 36\/6)\/(1\/h). Do -36 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 5*h + 2. Suppose 146 + 26 = -4*g. Let x = g + 88. Suppose 0 = -7*t - 2*t - x. Let z(k) = -3*k**2 + 6*k - 3. Determine t*q(i) - 4*z(i).\nAnswer: 2*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 69*d + 7. Let g(w) = -36*w - 3. Calculate -13*g(k) - 6*j(k).\nAnswer: 54*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 905*g**3 - 860*g**3 + g**2 + 2 - 1685*g**3 - 1751*g**3.\nAnswer: -3391*g**3 + g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-19)\/11)\/((-62246)\/(-342353))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 60688, -55 in decreasing order.\nAnswer: 60688, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1655 - 468. Suppose 2*u = 4*q + 486, 4*q - h = -8*u + 3*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3 + 7 = 0. Solve -i*q + 0*q = 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 10. Let u = l - -12. Put 0.2, u, 0 in descending order.\nAnswer: u, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 22*y - 223758 = -921095. Is y 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 25690805?\nAnswer: 5, 7, 41, 17903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2290\/11 + -208. Let s = -0.03 - -5.03. Which is the closest to 1? (a) s (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1176\/54 - 4\/(-18). Suppose 0 = y + 13 - g. Let n be (2\/(-3))\/((-6)\/y). Which is the nearest to n? (a) -0.3 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a**3 - 246*a**2 + 34*a + 29. Give b(35).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 595*m**4 + 5*m**3 + 10*m - 2. Let g(k) = k**3 + 2*k - 1. Let h(d) = -5*g(d) + i(d). What is the first derivative of h(l) wrt l?\nAnswer: 2380*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*c**2*r + 2*a*c**2 - a*c - 191*a*i*r - 6*c**2*i + 7*c**2 + 7*c*r + i**4*r wrt i?\nAnswer: -191*a*r - 6*c**2 + 4*i**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (0 - -9) + 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1922\/7 + 274. Let h = 9.2 + -9. Is h less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + 11*w**2 + 36*w - 22. Determine d(8).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 30, -1.8, -0.014, 7\/4 in descending order.\nAnswer: 30, 7\/4, -0.014, -1.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 - -17729.96?\nAnswer: 17728.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b - 520 = 0. Let x be -58 - (2 - -1) - 0. Let m = x - -87. Calculate the highest common factor of b and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 3*x + 159 - 230, 2*w - x + 29 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 66 = 22 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207119 is divided by 1534.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599 + 65 = -6*g. Let u = -14 + g. What is the remainder when u is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 207888.\nAnswer: -5, 3, 207888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-3)\/2 - 0). Let u(a) = a**2 + 6*a - 9. Let c be u(-7). Let o be -1*5*c\/1. Solve r*m - 7*m + o = v, -v = -m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 9*y - 26*y. Is -6 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -2141?\nAnswer: -2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1136, 2273, 3410?\nAnswer: 4547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 5\/3 (b) -72 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r. Suppose 4*c = 5*z - 7, -z - 3*c = -6*z + 4. Let h be z + (-1 + 3)*3. Determine n(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, o: 2, c: 2, i: 5, w: 2}. Give prob of picking 2 p and 2 w.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 4*s + 42 + 42 - 101 + 48.\nAnswer: -4*s + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -20*12\/(-16) + -6. What is the highest common divisor of s and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 106. Let f = v - 17. Let l = 65.999968 - f. What is l rounded to six decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.8 + -9.8. Let j = h - -9. What is the smallest value in j, -1, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15 - 12)\/(1 + 0). Solve -6 = w - b*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1745\/3, -0.2, -36, 1.9 in decreasing order.\nAnswer: 1745\/3, 11, 1.9, -0.2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 1. Let u(y) = -1 - 11*y + 3*y + 2*y. Calculate u(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 4:06 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - -13. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -6940\/89, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + 1. Suppose 0 = 26*m - 13*m. Let l be (2 - m - 5)*(-1)\/(-15). Which is the biggest value? (a) -3 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101400431 (base 5) in base 6?\nAnswer: 12551110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/((-1*sqrt(99))\/sqrt(11)) + -4)**2.\nAnswer: 8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 45 = -2*g, -39*z - 40*z - 445 = -5*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*g = 9, 0 = 2*g - 3362 + 3372 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1253 + -172?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*-39*(262\/84)\/(-1). Let f = n - 243. Put 0.4, f, 12 in decreasing order.\nAnswer: 12, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**4\/4 + 3*k**3 + 11*k**2\/2 - 6*k + 1. Determine b(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 32. Let q(j) = -52*j - 58*j - j**2 + 125*j - c. What are the prime factors of q(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 320. Let a(n) = n + 128. Let g(b) = -5*a(b) + 2*v(b). Let x(h) be the first derivative of -97*h**2\/2 - 1. What is g(x(z))?\nAnswer: 291*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.33 + 0.67. Let p = 342224\/3 - 114074. What is the smallest value in 4, k, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 149 + 2047. Find the third derivative of 15 - 2190*m**2 - 1 + r*m**2 + 109*m**4 wrt m.\nAnswer: 2616*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13760)\/220160)\/((-1)\/(-688)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**5\/4 + 35*r**4\/12 - 25*r**3\/2 + 45*r**2\/2 - 10*r - 25. Let k(a) be the first derivative of p(a). Factor k(u).\nAnswer: -5*(u - 3)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -88 (c) -324 (d) -1 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 661*j**3*p**3 + 371054*j**3*p**2 - 17*j*p**2 - 372681*p**3 wrt j?\nAnswer: 3966*j*p**3 + 2226324*j*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-390)\/(-104))\/((-42)\/(-16) - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (528906\/8)\/(20\/(-160)). List the prime factors of (3\/4)\/(g\/(-88144) - 6).\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**6\/120 + 2*f**5\/15 - 19*f**4\/24 + 5*f**3\/6 - 17*f**2. Let j be p(-10). Put -2, -1, 1, j in ascending order.\nAnswer: j, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -66 (b) -0.5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or -729?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 156303*s**3 + 569731 wrt s?\nAnswer: 468909*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-2)\/(-4)*(-33)\/(-66). Let r(g) = -6*g + 12. Let t be r(-4). Suppose 11 - t = -5*q. Solve 4*z + b*y = -4*y - 8, q*z + 10 = 2*y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 104537122 = -4*m - 18217120, -2*m = 2. Suppose 3*s + d = -s - 3*l, -5*l = 2*s + 21580005. Round s to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 573922?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 6. Give z(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 308.5558 nanometers to meters.\nAnswer: 0.0000003085558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 10\/3*(-495)\/(-10). What is the greatest common factor of 66 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + 66 - (-5 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8821.406 litres?\nAnswer: 8821406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 20*b - 21. What is a(19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -27*w + 28*w. Suppose -w*c + 28 = -11. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242.8170548 rounded to two decimal places?\nAnswer: 242.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5\/19 + 10*s**4\/19 + 88*s**3\/19 + 128*s**2\/19 - 64*s\/19 - 160\/19 = 0 for s.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -l + 19, -5*l + 10 = 2*y - 4*y. Let w(v) = 112*v - 53*v + 4 - 58*v + l. Give w(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4325 - 2480 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 524*s**2 - 7*s + 77. Is a(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**7\/50 + 11*t**6\/150 - t**5\/75 - 50*t**2. Factor q(h).\nAnswer: -h**2*(h - 2)*(21*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offoofff. What is prob of picking 2 f?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 - 74. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2691422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m)**(-8\/7)*(m*(m*m**4)\/m)\/(m\/(m\/(m**(-4)\/m))*m) assuming m is positive.\nAnswer: m**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -245750 rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 205 + 18 + 75)*(0*w - 3*w + 4*w)*(2 - 4 + 0)*(0*w - 6*w + 3*w).\nAnswer: -18*w**3 - 672*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -4 - -8) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.5 in 0.5, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**5\/120 + 3*s**3 + 47. Let t(v) be the third derivative of n(v). Let u(j) = 52*j**2. Give u(t(r)).\nAnswer: 52*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1977 times -320?\nAnswer: 632640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + f**2 - 5*f + 2. Let o be r(2). Suppose 19 = -3*k + 2*y, 5*y + 22 = -2*k + o*y. Sort k, -1, 1 in decreasing order.\nAnswer: 1, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b1 - -6641?\nAnswer: 6732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 3*y, -j + 754*y - 751*y + 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t**2 + 6*t**2 - 79 + 4*t**2 + 12*t**2 - 32*t**2 to h + k*t + w*t**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t - 70. Suppose 0 = -0*k - 3*k + 12. Suppose -k*g + 57 = 13. Calculate the remainder when g is divided by q(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-198)\/462 + (-22)\/(15554\/(-289))\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -109 (b) -1\/3 (c) 0.4 (d) 3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.1556 + -13.1. Let y = q - -0.1874. Let a = 1.287 + y. Round a to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -16*n**5\/5 - n**4\/12 + n**3\/6 + 10*n**2 - 2*n + 38. Find the second derivative of g(p) wrt p.\nAnswer: -384*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/58287466 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*x - 16 = 0, -3*x + 25 - 10 = 0. Let y = 0 + n. Let t = 4.2 - 0.2. What is the nearest to -2 in t, y, -2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 182*y - 46*y = -1278 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 695.2566 weeks in seconds?\nAnswer: 420491191.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (33 - -6 - 37).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/2)\/((-8)\/168). Let j = 7 - -13. Is z > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 85*p**2 - 85*p + 5*p**4 - 6 + 6 - 35*p**3 + 30.\nAnswer: 5*(p - 3)*(p - 2)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9*b)\/(b\/(b\/(b\/b**(2\/5))*b))*(b**(-6\/7)\/b*b*b*b)\/(b*b*b*b*b**(-2\/13)*b) assuming b is positive.\nAnswer: b**(3047\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29376 - -29374. What is the nearest to o in -0.7, 16, 5, -0.3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}